id	sid	tid	token	lemma	pos
fuelectenerg-3307	1	1	facta	facta	PROPN
fuelectenerg-3307	1	2	universitatis	universitatis	PROPN
fuelectenerg-3307	1	3	series	series	NOUN
fuelectenerg-3307	1	4	:	:	PUNCT
fuelectenerg-3307	1	5	electronics	electronic	NOUN
fuelectenerg-3307	1	6	and	and	CCONJ
fuelectenerg-3307	1	7	energetics	energetic	NOUN
fuelectenerg-3307	1	8	vol	vol	NOUN
fuelectenerg-3307	1	9	.	.	PUNCT
fuelectenerg-3307	2	1	xx	xx	NUM
fuelectenerg-3307	2	2	,	,	PUNCT
fuelectenerg-3307	2	3	2018	2018	NUM
fuelectenerg-3307	2	4	,	,	PUNCT
fuelectenerg-3307	2	5	xx	xx	NUM
fuelectenerg-3307	2	6	-	-	PUNCT
fuelectenerg-3307	2	7	xx	xx	NUM
fuelectenerg-3307	2	8	compact	compact	ADJ
fuelectenerg-3307	2	9	xor	xor	PROPN
fuelectenerg-3307	2	10	-	-	PUNCT
fuelectenerg-3307	2	11	bi	bi	NOUN
fuelectenerg-3307	2	12	-	-	NOUN
fuelectenerg-3307	2	13	decomposition	decomposition	NOUN
fuelectenerg-3307	2	14	for	for	ADP
fuelectenerg-3307	2	15	lattices	lattice	NOUN
fuelectenerg-3307	2	16	of	of	ADP
fuelectenerg-3307	2	17	boolean	boolean	ADJ
fuelectenerg-3307	2	18	functions	function	NOUN
fuelectenerg-3307	2	19	∗	∗	NOUN
fuelectenerg-3307	2	20	bernd	bernd	NOUN
fuelectenerg-3307	2	21	steinbach1	steinbach1	NOUN
fuelectenerg-3307	2	22	and	and	CCONJ
fuelectenerg-3307	2	23	christian	christian	ADJ
fuelectenerg-3307	2	24	posthoff2	posthoff2	NOUN
fuelectenerg-3307	3	1	1freiberg	1freiberg	NUM
fuelectenerg-3307	3	2	university	university	NOUN
fuelectenerg-3307	3	3	of	of	ADP
fuelectenerg-3307	3	4	mining	mining	NOUN
fuelectenerg-3307	3	5	and	and	CCONJ
fuelectenerg-3307	3	6	technology	technology	NOUN
fuelectenerg-3307	3	7	,	,	PUNCT
fuelectenerg-3307	3	8	institute	institute	NOUN
fuelectenerg-3307	3	9	of	of	ADP
fuelectenerg-3307	3	10	computer	computer	NOUN
fuelectenerg-3307	3	11	science	science	NOUN
fuelectenerg-3307	3	12	,	,	PUNCT
fuelectenerg-3307	3	13	freiberg	freiberg	PROPN
fuelectenerg-3307	3	14	,	,	PUNCT
fuelectenerg-3307	3	15	germany	germany	PROPN
fuelectenerg-3307	3	16	2the	2the	PROPN
fuelectenerg-3307	3	17	university	university	NOUN
fuelectenerg-3307	3	18	of	of	ADP
fuelectenerg-3307	3	19	the	the	DET
fuelectenerg-3307	3	20	west	west	PROPN
fuelectenerg-3307	3	21	indies	indies	PROPN
fuelectenerg-3307	3	22	,	,	PUNCT
fuelectenerg-3307	3	23	department	department	NOUN
fuelectenerg-3307	3	24	of	of	ADP
fuelectenerg-3307	3	25	computing	computing	NOUN
fuelectenerg-3307	3	26	and	and	CCONJ
fuelectenerg-3307	3	27	information	information	NOUN
fuelectenerg-3307	3	28	technology	technology	NOUN
fuelectenerg-3307	3	29	,	,	PUNCT
fuelectenerg-3307	3	30	saint	saint	PROPN
fuelectenerg-3307	3	31	augustine	augustine	PROPN
fuelectenerg-3307	3	32	,	,	PUNCT
fuelectenerg-3307	3	33	trinidad	trinidad	PROPN
fuelectenerg-3307	3	34	&	&	CCONJ
fuelectenerg-3307	3	35	tobago	tobago	PROPN
fuelectenerg-3307	3	36	abstract	abstract	PROPN
fuelectenerg-3307	3	37	:	:	PUNCT
fuelectenerg-3307	3	38	bi	bi	NOUN
fuelectenerg-3307	3	39	-	-	NOUN
fuelectenerg-3307	3	40	decomposition	decomposition	NOUN
fuelectenerg-3307	3	41	is	be	AUX
fuelectenerg-3307	3	42	a	a	DET
fuelectenerg-3307	3	43	powerful	powerful	ADJ
fuelectenerg-3307	3	44	approach	approach	NOUN
fuelectenerg-3307	3	45	for	for	ADP
fuelectenerg-3307	3	46	the	the	DET
fuelectenerg-3307	3	47	synthesis	synthesis	NOUN
fuelectenerg-3307	3	48	of	of	ADP
fuelectenerg-3307	3	49	multi	multi	ADJ
fuelectenerg-3307	3	50	-	-	ADJ
fuelectenerg-3307	3	51	level	level	ADJ
fuelectenerg-3307	3	52	combinational	combinational	ADJ
fuelectenerg-3307	3	53	circuits	circuit	NOUN
fuelectenerg-3307	3	54	because	because	SCONJ
fuelectenerg-3307	3	55	it	it	PRON
fuelectenerg-3307	3	56	utilizes	utilize	VERB
fuelectenerg-3307	3	57	the	the	DET
fuelectenerg-3307	3	58	properties	property	NOUN
fuelectenerg-3307	3	59	of	of	ADP
fuelectenerg-3307	3	60	the	the	DET
fuelectenerg-3307	3	61	given	give	VERB
fuelectenerg-3307	3	62	functions	function	NOUN
fuelectenerg-3307	3	63	to	to	PART
fuelectenerg-3307	3	64	find	find	VERB
fuelectenerg-3307	3	65	small	small	ADJ
fuelectenerg-3307	3	66	circuits	circuit	NOUN
fuelectenerg-3307	3	67	,	,	PUNCT
fuelectenerg-3307	3	68	with	with	ADP
fuelectenerg-3307	3	69	low	low	ADJ
fuelectenerg-3307	3	70	power	power	NOUN
fuelectenerg-3307	3	71	consumption	consumption	NOUN
fuelectenerg-3307	3	72	and	and	CCONJ
fuelectenerg-3307	3	73	low	low	ADJ
fuelectenerg-3307	3	74	delay	delay	NOUN
fuelectenerg-3307	3	75	.	.	PUNCT
fuelectenerg-3307	4	1	compact	compact	ADJ
fuelectenerg-3307	4	2	bi	bi	NOUN
fuelectenerg-3307	4	3	-	-	NOUN
fuelectenerg-3307	4	4	decompositions	decomposition	NOUN
fuelectenerg-3307	4	5	restrict	restrict	VERB
fuelectenerg-3307	4	6	the	the	DET
fuelectenerg-3307	4	7	variables	variable	NOUN
fuelectenerg-3307	4	8	in	in	ADP
fuelectenerg-3307	4	9	the	the	DET
fuelectenerg-3307	4	10	support	support	NOUN
fuelectenerg-3307	4	11	of	of	ADP
fuelectenerg-3307	4	12	the	the	DET
fuelectenerg-3307	4	13	decomposition	decomposition	NOUN
fuelectenerg-3307	4	14	functions	function	NOUN
fuelectenerg-3307	4	15	as	as	ADV
fuelectenerg-3307	4	16	much	much	ADV
fuelectenerg-3307	4	17	as	as	ADP
fuelectenerg-3307	4	18	possible	possible	ADJ
fuelectenerg-3307	4	19	.	.	PUNCT
fuelectenerg-3307	5	1	methods	method	NOUN
fuelectenerg-3307	5	2	to	to	PART
fuelectenerg-3307	5	3	find	find	VERB
fuelectenerg-3307	5	4	compact	compact	ADJ
fuelectenerg-3307	5	5	and-	and-	NOUN
fuelectenerg-3307	5	6	,	,	PUNCT
fuelectenerg-3307	5	7	or-	or-	X
fuelectenerg-3307	5	8	,	,	PUNCT
fuelectenerg-3307	5	9	or	or	CCONJ
fuelectenerg-3307	5	10	xor	xor	PROPN
fuelectenerg-3307	5	11	-	-	PUNCT
fuelectenerg-3307	5	12	bi	bi	NOUN
fuelectenerg-3307	5	13	-	-	NOUN
fuelectenerg-3307	5	14	decompositions	decomposition	NOUN
fuelectenerg-3307	5	15	for	for	ADP
fuelectenerg-3307	5	16	a	a	DET
fuelectenerg-3307	5	17	given	give	VERB
fuelectenerg-3307	5	18	completely	completely	ADV
fuelectenerg-3307	5	19	specified	specify	VERB
fuelectenerg-3307	5	20	function	function	NOUN
fuelectenerg-3307	5	21	are	be	AUX
fuelectenerg-3307	5	22	well	well	ADV
fuelectenerg-3307	5	23	known	know	VERB
fuelectenerg-3307	5	24	.	.	PUNCT
fuelectenerg-3307	6	1	a	a	DET
fuelectenerg-3307	6	2	lattice	lattice	NOUN
fuelectenerg-3307	6	3	of	of	ADP
fuelectenerg-3307	6	4	boolean	boolean	ADJ
fuelectenerg-3307	6	5	functions	function	NOUN
fuelectenerg-3307	6	6	represents	represent	VERB
fuelectenerg-3307	6	7	all	all	DET
fuelectenerg-3307	6	8	possible	possible	ADJ
fuelectenerg-3307	6	9	functions	function	NOUN
fuelectenerg-3307	6	10	which	which	PRON
fuelectenerg-3307	6	11	are	be	AUX
fuelectenerg-3307	6	12	defined	define	VERB
fuelectenerg-3307	6	13	by	by	ADP
fuelectenerg-3307	6	14	an	an	DET
fuelectenerg-3307	6	15	incompletely	incompletely	ADV
fuelectenerg-3307	6	16	specified	specify	VERB
fuelectenerg-3307	6	17	function	function	NOUN
fuelectenerg-3307	6	18	.	.	PUNCT
fuelectenerg-3307	7	1	lattices	lattice	NOUN
fuelectenerg-3307	7	2	of	of	ADP
fuelectenerg-3307	7	3	boolean	boolean	ADJ
fuelectenerg-3307	7	4	functions	function	NOUN
fuelectenerg-3307	7	5	significantly	significantly	ADV
fuelectenerg-3307	7	6	increase	increase	VERB
fuelectenerg-3307	7	7	the	the	DET
fuelectenerg-3307	7	8	possibilities	possibility	NOUN
fuelectenerg-3307	7	9	to	to	PART
fuelectenerg-3307	7	10	synthesize	synthesize	VERB
fuelectenerg-3307	7	11	a	a	DET
fuelectenerg-3307	7	12	minimal	minimal	ADJ
fuelectenerg-3307	7	13	circuit	circuit	NOUN
fuelectenerg-3307	7	14	.	.	PUNCT
fuelectenerg-3307	8	1	however	however	ADV
fuelectenerg-3307	8	2	,	,	PUNCT
fuelectenerg-3307	8	3	so	so	ADV
fuelectenerg-3307	8	4	far	far	ADV
fuelectenerg-3307	8	5	only	only	ADJ
fuelectenerg-3307	8	6	methods	method	NOUN
fuelectenerg-3307	8	7	to	to	PART
fuelectenerg-3307	8	8	find	find	VERB
fuelectenerg-3307	8	9	compact	compact	ADJ
fuelectenerg-3307	8	10	andor	andor	NOUN
fuelectenerg-3307	8	11	or	or	CCONJ
fuelectenerg-3307	8	12	-	-	PUNCT
fuelectenerg-3307	8	13	bi	bi	NOUN
fuelectenerg-3307	8	14	-	-	NOUN
fuelectenerg-3307	8	15	decompositions	decomposition	NOUN
fuelectenerg-3307	8	16	for	for	ADP
fuelectenerg-3307	8	17	lattices	lattice	NOUN
fuelectenerg-3307	8	18	of	of	ADP
fuelectenerg-3307	8	19	boolean	boolean	ADJ
fuelectenerg-3307	8	20	functions	function	NOUN
fuelectenerg-3307	8	21	are	be	AUX
fuelectenerg-3307	8	22	known	know	VERB
fuelectenerg-3307	8	23	.	.	PUNCT
fuelectenerg-3307	9	1	this	this	DET
fuelectenerg-3307	9	2	gap	gap	NOUN
fuelectenerg-3307	9	3	,	,	PUNCT
fuelectenerg-3307	9	4	i.e.	i.e.	X
fuelectenerg-3307	9	5	,	,	PUNCT
fuelectenerg-3307	9	6	a	a	DET
fuelectenerg-3307	9	7	method	method	NOUN
fuelectenerg-3307	9	8	to	to	PART
fuelectenerg-3307	9	9	find	find	VERB
fuelectenerg-3307	9	10	a	a	DET
fuelectenerg-3307	9	11	compact	compact	ADJ
fuelectenerg-3307	9	12	xor	xor	PROPN
fuelectenerg-3307	9	13	-	-	PUNCT
fuelectenerg-3307	9	14	bi	bi	NOUN
fuelectenerg-3307	9	15	-	-	NOUN
fuelectenerg-3307	9	16	decomposition	decomposition	NOUN
fuelectenerg-3307	9	17	for	for	ADP
fuelectenerg-3307	9	18	a	a	DET
fuelectenerg-3307	9	19	lattice	lattice	NOUN
fuelectenerg-3307	9	20	of	of	ADP
fuelectenerg-3307	9	21	boolean	boolean	ADJ
fuelectenerg-3307	9	22	functions	function	NOUN
fuelectenerg-3307	9	23	,	,	PUNCT
fuelectenerg-3307	9	24	has	have	AUX
fuelectenerg-3307	9	25	been	be	AUX
fuelectenerg-3307	9	26	closed	close	VERB
fuelectenerg-3307	9	27	by	by	ADP
fuelectenerg-3307	9	28	the	the	DET
fuelectenerg-3307	9	29	approach	approach	NOUN
fuelectenerg-3307	9	30	suggested	suggest	VERB
fuelectenerg-3307	9	31	in	in	ADP
fuelectenerg-3307	9	32	this	this	DET
fuelectenerg-3307	9	33	paper	paper	NOUN
fuelectenerg-3307	9	34	.	.	PUNCT
fuelectenerg-3307	10	1	keywords	keyword	NOUN
fuelectenerg-3307	10	2	:	:	PUNCT
fuelectenerg-3307	10	3	synthesis	synthesis	NOUN
fuelectenerg-3307	10	4	,	,	PUNCT
fuelectenerg-3307	10	5	combinational	combinational	ADJ
fuelectenerg-3307	10	6	circuit	circuit	NOUN
fuelectenerg-3307	10	7	,	,	PUNCT
fuelectenerg-3307	10	8	lattice	lattice	NOUN
fuelectenerg-3307	10	9	of	of	ADP
fuelectenerg-3307	10	10	boolean	boolean	ADJ
fuelectenerg-3307	10	11	functions	function	NOUN
fuelectenerg-3307	10	12	,	,	PUNCT
fuelectenerg-3307	10	13	xor	xor	PROPN
fuelectenerg-3307	10	14	-	-	PUNCT
fuelectenerg-3307	10	15	bidecomposition	bidecomposition	NOUN
fuelectenerg-3307	10	16	,	,	PUNCT
fuelectenerg-3307	10	17	boolean	boolean	ADJ
fuelectenerg-3307	10	18	differential	differential	NOUN
fuelectenerg-3307	10	19	calculus	calculus	NOUN
fuelectenerg-3307	10	20	,	,	PUNCT
fuelectenerg-3307	10	21	derivative	derivative	ADJ
fuelectenerg-3307	10	22	operations	operation	NOUN
fuelectenerg-3307	10	23	.	.	PUNCT
fuelectenerg-3307	11	1	1	1	NUM
fuelectenerg-3307	11	2	introduction	introduction	NOUN
fuelectenerg-3307	11	3	the	the	DET
fuelectenerg-3307	11	4	aim	aim	NOUN
fuelectenerg-3307	11	5	of	of	ADP
fuelectenerg-3307	11	6	all	all	DET
fuelectenerg-3307	11	7	decomposition	decomposition	NOUN
fuelectenerg-3307	11	8	methods	method	NOUN
fuelectenerg-3307	11	9	in	in	ADP
fuelectenerg-3307	11	10	circuit	circuit	NOUN
fuelectenerg-3307	11	11	design	design	NOUN
fuelectenerg-3307	11	12	is	be	AUX
fuelectenerg-3307	11	13	to	to	PART
fuelectenerg-3307	11	14	find	find	VERB
fuelectenerg-3307	11	15	decomposition	decomposition	NOUN
fuelectenerg-3307	11	16	functions	function	NOUN
fuelectenerg-3307	11	17	that	that	PRON
fuelectenerg-3307	11	18	are	be	AUX
fuelectenerg-3307	11	19	simpler	simple	ADJ
fuelectenerg-3307	11	20	than	than	ADP
fuelectenerg-3307	11	21	the	the	DET
fuelectenerg-3307	11	22	given	give	VERB
fuelectenerg-3307	11	23	function	function	NOUN
fuelectenerg-3307	11	24	.	.	PUNCT
fuelectenerg-3307	12	1	the	the	DET
fuelectenerg-3307	12	2	bi	bi	NOUN
fuelectenerg-3307	12	3	-	-	NOUN
fuelectenerg-3307	12	4	decomposition	decomposition	NOUN
fuelectenerg-3307	12	5	is	be	AUX
fuelectenerg-3307	12	6	an	an	DET
fuelectenerg-3307	12	7	apmanuscript	apmanuscript	NOUN
fuelectenerg-3307	12	8	received	receive	VERB
fuelectenerg-3307	12	9	september	september	PROPN
fuelectenerg-3307	12	10	18	18	NUM
fuelectenerg-3307	12	11	,	,	PUNCT
fuelectenerg-3307	12	12	2017	2017	NUM
fuelectenerg-3307	12	13	corresponding	correspond	VERB
fuelectenerg-3307	12	14	author	author	NOUN
fuelectenerg-3307	12	15	:	:	PUNCT
fuelectenerg-3307	12	16	bernd	bernd	PROPN
fuelectenerg-3307	12	17	steinbach	steinbach	PROPN
fuelectenerg-3307	12	18	institute	institute	PROPN
fuelectenerg-3307	12	19	of	of	ADP
fuelectenerg-3307	12	20	computer	computer	NOUN
fuelectenerg-3307	12	21	science	science	NOUN
fuelectenerg-3307	12	22	,	,	PUNCT
fuelectenerg-3307	12	23	freiberg	freiberg	PROPN
fuelectenerg-3307	12	24	university	university	PROPN
fuelectenerg-3307	12	25	of	of	ADP
fuelectenerg-3307	12	26	mining	mining	NOUN
fuelectenerg-3307	12	27	and	and	CCONJ
fuelectenerg-3307	12	28	technology	technology	NOUN
fuelectenerg-3307	12	29	,	,	PUNCT
fuelectenerg-3307	12	30	bernhard	bernhard	PROPN
fuelectenerg-3307	12	31	-	-	PUNCT
fuelectenerg-3307	12	32	von	von	PROPN
fuelectenerg-3307	12	33	-	-	PUNCT
fuelectenerg-3307	12	34	cottastr	cottastr	PROPN
fuelectenerg-3307	12	35	.	.	PUNCT
fuelectenerg-3307	13	1	2	2	NUM
fuelectenerg-3307	13	2	,	,	PUNCT
fuelectenerg-3307	13	3	d-09596	d-09596	PROPN
fuelectenerg-3307	13	4	freiberg	freiberg	PROPN
fuelectenerg-3307	13	5	,	,	PUNCT
fuelectenerg-3307	13	6	germany	germany	PROPN
fuelectenerg-3307	13	7	(	(	PUNCT
fuelectenerg-3307	13	8	e	e	NOUN
fuelectenerg-3307	13	9	-	-	NOUN
fuelectenerg-3307	13	10	mail	mail	NOUN
fuelectenerg-3307	13	11	:	:	PUNCT
fuelectenerg-3307	13	12	steinb@informatik.tu-freiberg.de	steinb@informatik.tu-freiberg.de	NUM
fuelectenerg-3307	13	13	)	)	PUNCT
fuelectenerg-3307	13	14	.	.	PUNCT
fuelectenerg-3307	14	1	∗a	∗a	ADJ
fuelectenerg-3307	14	2	preliminary	preliminary	ADJ
fuelectenerg-3307	14	3	version	version	NOUN
fuelectenerg-3307	14	4	of	of	ADP
fuelectenerg-3307	14	5	this	this	DET
fuelectenerg-3307	14	6	paper	paper	NOUN
fuelectenerg-3307	14	7	was	be	AUX
fuelectenerg-3307	14	8	presented	present	VERB
fuelectenerg-3307	14	9	at	at	ADP
fuelectenerg-3307	14	10	the	the	DET
fuelectenerg-3307	14	11	reed	reed	NOUN
fuelectenerg-3307	14	12	-	-	PUNCT
fuelectenerg-3307	14	13	muller	muller	NOUN
fuelectenerg-3307	14	14	2017	2017	NUM
fuelectenerg-3307	14	15	workshop	workshop	NOUN
fuelectenerg-3307	14	16	,	,	PUNCT
fuelectenerg-3307	14	17	novi	novi	PROPN
fuelectenerg-3307	14	18	sad	sad	PROPN
fuelectenerg-3307	14	19	,	,	PUNCT
fuelectenerg-3307	14	20	serbia	serbia	PROPN
fuelectenerg-3307	14	21	,	,	PUNCT
fuelectenerg-3307	14	22	may	may	AUX
fuelectenerg-3307	14	23	24	24	NUM
fuelectenerg-3307	14	24	-	-	SYM
fuelectenerg-3307	14	25	25	25	NUM
fuelectenerg-3307	14	26	,	,	PUNCT
fuelectenerg-3307	14	27	2017	2017	NUM
fuelectenerg-3307	14	28	.	.	PUNCT
fuelectenerg-3307	15	1	1	1	NUM
fuelectenerg-3307	15	2	2	2	NUM
fuelectenerg-3307	15	3	b.	b.	NOUN
fuelectenerg-3307	15	4	steinbach	steinbach	PROPN
fuelectenerg-3307	15	5	and	and	CCONJ
fuelectenerg-3307	15	6	c.	c.	PROPN
fuelectenerg-3307	15	7	posthoff	posthoff	PROPN
fuelectenerg-3307	15	8	:	:	PUNCT
fuelectenerg-3307	15	9	proach	proach	DET
fuelectenerg-3307	15	10	that	that	PRON
fuelectenerg-3307	15	11	decomposes	decompose	VERB
fuelectenerg-3307	15	12	a	a	DET
fuelectenerg-3307	15	13	given	give	VERB
fuelectenerg-3307	15	14	boolean	boolean	ADJ
fuelectenerg-3307	15	15	function	function	NOUN
fuelectenerg-3307	15	16	into	into	ADP
fuelectenerg-3307	15	17	two	two	NUM
fuelectenerg-3307	15	18	simpler	simple	ADJ
fuelectenerg-3307	15	19	decomposition	decomposition	NOUN
fuelectenerg-3307	15	20	functions	function	NOUN
fuelectenerg-3307	15	21	which	which	PRON
fuelectenerg-3307	15	22	are	be	AUX
fuelectenerg-3307	15	23	combined	combine	VERB
fuelectenerg-3307	15	24	by	by	ADP
fuelectenerg-3307	15	25	an	an	DET
fuelectenerg-3307	15	26	and-	and-	NOUN
fuelectenerg-3307	15	27	,	,	PUNCT
fuelectenerg-3307	15	28	an	an	DET
fuelectenerg-3307	15	29	or-	or-	X
fuelectenerg-3307	15	30	,	,	PUNCT
fuelectenerg-3307	15	31	or	or	CCONJ
fuelectenerg-3307	15	32	an	an	DET
fuelectenerg-3307	15	33	xor	xor	PROPN
fuelectenerg-3307	15	34	-	-	PUNCT
fuelectenerg-3307	15	35	gate	gate	NOUN
fuelectenerg-3307	15	36	.	.	PUNCT
fuelectenerg-3307	16	1	for	for	ADP
fuelectenerg-3307	16	2	the	the	DET
fuelectenerg-3307	16	3	aim	aim	NOUN
fuelectenerg-3307	16	4	of	of	ADP
fuelectenerg-3307	16	5	simplification	simplification	NOUN
fuelectenerg-3307	16	6	,	,	PUNCT
fuelectenerg-3307	16	7	the	the	PRON
fuelectenerg-3307	16	8	bi	bi	ADJ
fuelectenerg-3307	16	9	-	-	ADJ
fuelectenerg-3307	16	10	decomposition	decomposition	NOUN
fuelectenerg-3307	16	11	utilizes	utilize	VERB
fuelectenerg-3307	16	12	the	the	DET
fuelectenerg-3307	16	13	properties	property	NOUN
fuelectenerg-3307	16	14	of	of	ADP
fuelectenerg-3307	16	15	the	the	DET
fuelectenerg-3307	16	16	given	give	VERB
fuelectenerg-3307	16	17	boolean	boolean	ADJ
fuelectenerg-3307	16	18	function	function	NOUN
fuelectenerg-3307	16	19	to	to	PART
fuelectenerg-3307	16	20	design	design	VERB
fuelectenerg-3307	16	21	circuit	circuit	NOUN
fuelectenerg-3307	16	22	structures	structure	NOUN
fuelectenerg-3307	16	23	of	of	ADP
fuelectenerg-3307	16	24	a	a	DET
fuelectenerg-3307	16	25	small	small	ADJ
fuelectenerg-3307	16	26	area	area	NOUN
fuelectenerg-3307	16	27	,	,	PUNCT
fuelectenerg-3307	16	28	low	low	ADJ
fuelectenerg-3307	16	29	power	power	NOUN
fuelectenerg-3307	16	30	consumption	consumption	NOUN
fuelectenerg-3307	16	31	,	,	PUNCT
fuelectenerg-3307	16	32	and	and	CCONJ
fuelectenerg-3307	16	33	low	low	ADJ
fuelectenerg-3307	16	34	delay	delay	NOUN
fuelectenerg-3307	16	35	[	[	X
fuelectenerg-3307	16	36	1	1	NUM
fuelectenerg-3307	16	37	]	]	PUNCT
fuelectenerg-3307	16	38	.	.	PUNCT
fuelectenerg-3307	17	1	there	there	PRON
fuelectenerg-3307	17	2	are	be	VERB
fuelectenerg-3307	17	3	several	several	ADJ
fuelectenerg-3307	17	4	types	type	NOUN
fuelectenerg-3307	17	5	of	of	ADP
fuelectenerg-3307	17	6	bi	bi	NOUN
fuelectenerg-3307	17	7	-	-	NOUN
fuelectenerg-3307	17	8	decompositions	decomposition	NOUN
fuelectenerg-3307	17	9	.	.	PUNCT
fuelectenerg-3307	18	1	both	both	DET
fuelectenerg-3307	18	2	decomposition	decomposition	NOUN
fuelectenerg-3307	18	3	functions	function	NOUN
fuelectenerg-3307	18	4	of	of	ADP
fuelectenerg-3307	18	5	each	each	DET
fuelectenerg-3307	18	6	strong	strong	ADJ
fuelectenerg-3307	18	7	bi	bi	NOUN
fuelectenerg-3307	18	8	-	-	NOUN
fuelectenerg-3307	18	9	decomposition	decomposition	NOUN
fuelectenerg-3307	18	10	are	be	AUX
fuelectenerg-3307	18	11	simpler	simple	ADJ
fuelectenerg-3307	18	12	than	than	ADP
fuelectenerg-3307	18	13	the	the	DET
fuelectenerg-3307	18	14	given	give	VERB
fuelectenerg-3307	18	15	function	function	NOUN
fuelectenerg-3307	18	16	because	because	SCONJ
fuelectenerg-3307	18	17	they	they	PRON
fuelectenerg-3307	18	18	depend	depend	VERB
fuelectenerg-3307	18	19	on	on	ADP
fuelectenerg-3307	18	20	fewer	few	ADJ
fuelectenerg-3307	18	21	variables	variable	NOUN
fuelectenerg-3307	18	22	.	.	PUNCT
fuelectenerg-3307	19	1	unfortunately	unfortunately	ADV
fuelectenerg-3307	19	2	,	,	PUNCT
fuelectenerg-3307	19	3	there	there	PRON
fuelectenerg-3307	19	4	are	be	VERB
fuelectenerg-3307	19	5	functions	function	NOUN
fuelectenerg-3307	19	6	for	for	ADP
fuelectenerg-3307	19	7	which	which	PRON
fuelectenerg-3307	19	8	no	no	DET
fuelectenerg-3307	19	9	strong	strong	ADJ
fuelectenerg-3307	19	10	bi	bi	ADJ
fuelectenerg-3307	19	11	-	-	ADJ
fuelectenerg-3307	19	12	decomposition	decomposition	NOUN
fuelectenerg-3307	19	13	exists	exist	VERB
fuelectenerg-3307	19	14	.	.	PUNCT
fuelectenerg-3307	19	15	le	le	X
fuelectenerg-3307	20	1	[	[	X
fuelectenerg-3307	20	2	2	2	NUM
fuelectenerg-3307	20	3	]	]	PUNCT
fuelectenerg-3307	20	4	bridged	bridge	VERB
fuelectenerg-3307	20	5	this	this	DET
fuelectenerg-3307	20	6	gap	gap	NOUN
fuelectenerg-3307	20	7	by	by	ADP
fuelectenerg-3307	20	8	means	mean	NOUN
fuelectenerg-3307	20	9	of	of	ADP
fuelectenerg-3307	20	10	the	the	DET
fuelectenerg-3307	20	11	weak	weak	ADJ
fuelectenerg-3307	20	12	bi	bi	NOUN
fuelectenerg-3307	20	13	-	-	NOUN
fuelectenerg-3307	20	14	decomposition	decomposition	NOUN
fuelectenerg-3307	20	15	.	.	PUNCT
fuelectenerg-3307	21	1	he	he	PRON
fuelectenerg-3307	21	2	found	find	VERB
fuelectenerg-3307	21	3	that	that	SCONJ
fuelectenerg-3307	21	4	each	each	DET
fuelectenerg-3307	21	5	function	function	NOUN
fuelectenerg-3307	21	6	,	,	PUNCT
fuelectenerg-3307	21	7	for	for	ADP
fuelectenerg-3307	21	8	which	which	PRON
fuelectenerg-3307	21	9	neither	neither	CCONJ
fuelectenerg-3307	21	10	a	a	DET
fuelectenerg-3307	21	11	weak	weak	ADJ
fuelectenerg-3307	21	12	or	or	CCONJ
fuelectenerg-3307	21	13	bi	bi	NOUN
fuelectenerg-3307	21	14	-	-	NOUN
fuelectenerg-3307	21	15	decomposition	decomposition	NOUN
fuelectenerg-3307	21	16	nor	nor	CCONJ
fuelectenerg-3307	21	17	a	a	DET
fuelectenerg-3307	21	18	weak	weak	ADJ
fuelectenerg-3307	21	19	and	and	CCONJ
fuelectenerg-3307	21	20	bi	bi	NOUN
fuelectenerg-3307	21	21	-	-	ADJ
fuelectenerg-3307	21	22	decomposition	decomposition	NOUN
fuelectenerg-3307	21	23	exists	exist	VERB
fuelectenerg-3307	21	24	,	,	PUNCT
fuelectenerg-3307	21	25	can	can	AUX
fuelectenerg-3307	21	26	be	be	AUX
fuelectenerg-3307	21	27	simplified	simplify	VERB
fuelectenerg-3307	21	28	by	by	ADP
fuelectenerg-3307	21	29	a	a	DET
fuelectenerg-3307	21	30	strong	strong	ADJ
fuelectenerg-3307	21	31	xor	xor	PROPN
fuelectenerg-3307	21	32	bi	bi	NOUN
fuelectenerg-3307	21	33	-	-	NOUN
fuelectenerg-3307	21	34	decomposition	decomposition	NOUN
fuelectenerg-3307	21	35	.	.	PUNCT
fuelectenerg-3307	22	1	a	a	DET
fuelectenerg-3307	22	2	simplified	simplified	ADJ
fuelectenerg-3307	22	3	proof	proof	NOUN
fuelectenerg-3307	22	4	of	of	ADP
fuelectenerg-3307	22	5	the	the	DET
fuelectenerg-3307	22	6	completeness	completeness	NOUN
fuelectenerg-3307	22	7	of	of	ADP
fuelectenerg-3307	22	8	the	the	DET
fuelectenerg-3307	22	9	strong	strong	ADJ
fuelectenerg-3307	22	10	and	and	CCONJ
fuelectenerg-3307	22	11	weak	weak	ADJ
fuelectenerg-3307	22	12	bi	bi	NOUN
fuelectenerg-3307	22	13	-	-	NOUN
fuelectenerg-3307	22	14	decomposition	decomposition	NOUN
fuelectenerg-3307	22	15	is	be	AUX
fuelectenerg-3307	22	16	given	give	VERB
fuelectenerg-3307	22	17	in	in	ADP
fuelectenerg-3307	22	18	[	[	X
fuelectenerg-3307	22	19	3	3	NUM
fuelectenerg-3307	22	20	,	,	PUNCT
fuelectenerg-3307	22	21	4	4	NUM
fuelectenerg-3307	22	22	]	]	PUNCT
fuelectenerg-3307	22	23	.	.	PUNCT
fuelectenerg-3307	23	1	an	an	DET
fuelectenerg-3307	23	2	implementation	implementation	NOUN
fuelectenerg-3307	23	3	that	that	PRON
fuelectenerg-3307	23	4	reuses	reuse	VERB
fuelectenerg-3307	23	5	already	already	ADV
fuelectenerg-3307	23	6	decomposed	decompose	VERB
fuelectenerg-3307	23	7	blocks	block	NOUN
fuelectenerg-3307	23	8	outperforms	outperform	VERB
fuelectenerg-3307	23	9	other	other	ADJ
fuelectenerg-3307	23	10	synthesis	synthesis	NOUN
fuelectenerg-3307	23	11	approaches	approach	NOUN
fuelectenerg-3307	23	12	[	[	X
fuelectenerg-3307	23	13	5	5	NUM
fuelectenerg-3307	23	14	]	]	PUNCT
fuelectenerg-3307	23	15	.	.	PUNCT
fuelectenerg-3307	24	1	a	a	DET
fuelectenerg-3307	24	2	drawback	drawback	NOUN
fuelectenerg-3307	24	3	of	of	ADP
fuelectenerg-3307	24	4	the	the	DET
fuelectenerg-3307	24	5	weak	weak	ADJ
fuelectenerg-3307	24	6	bi	bi	NOUN
fuelectenerg-3307	24	7	-	-	NOUN
fuelectenerg-3307	24	8	decomposition	decomposition	NOUN
fuelectenerg-3307	24	9	is	be	AUX
fuelectenerg-3307	24	10	that	that	SCONJ
fuelectenerg-3307	24	11	the	the	DET
fuelectenerg-3307	24	12	synthesized	synthesize	VERB
fuelectenerg-3307	24	13	circuits	circuit	NOUN
fuelectenerg-3307	24	14	can	can	AUX
fuelectenerg-3307	24	15	have	have	VERB
fuelectenerg-3307	24	16	a	a	DET
fuelectenerg-3307	24	17	large	large	ADJ
fuelectenerg-3307	24	18	difference	difference	NOUN
fuelectenerg-3307	24	19	between	between	ADP
fuelectenerg-3307	24	20	the	the	DET
fuelectenerg-3307	24	21	shortest	short	ADJ
fuelectenerg-3307	24	22	and	and	CCONJ
fuelectenerg-3307	24	23	the	the	DET
fuelectenerg-3307	24	24	longest	long	ADJ
fuelectenerg-3307	24	25	path	path	NOUN
fuelectenerg-3307	24	26	(	(	PUNCT
fuelectenerg-3307	24	27	unbalanced	unbalanced	ADJ
fuelectenerg-3307	24	28	circuits	circuit	NOUN
fuelectenerg-3307	24	29	)	)	PUNCT
fuelectenerg-3307	24	30	.	.	PUNCT
fuelectenerg-3307	25	1	recently	recently	ADV
fuelectenerg-3307	25	2	,	,	PUNCT
fuelectenerg-3307	25	3	vectorial	vectorial	ADJ
fuelectenerg-3307	25	4	bi	bi	NOUN
fuelectenerg-3307	25	5	-	-	NOUN
fuelectenerg-3307	25	6	decompositions	decomposition	NOUN
fuelectenerg-3307	25	7	were	be	AUX
fuelectenerg-3307	25	8	suggested	suggest	VERB
fuelectenerg-3307	25	9	as	as	ADP
fuelectenerg-3307	25	10	supplement	supplement	NOUN
fuelectenerg-3307	25	11	to	to	ADP
fuelectenerg-3307	25	12	strong	strong	ADJ
fuelectenerg-3307	25	13	and	and	CCONJ
fuelectenerg-3307	25	14	weak	weak	ADJ
fuelectenerg-3307	25	15	bi	bi	NOUN
fuelectenerg-3307	25	16	-	-	NOUN
fuelectenerg-3307	25	17	decompositions	decomposition	NOUN
fuelectenerg-3307	25	18	[	[	X
fuelectenerg-3307	25	19	6	6	NUM
fuelectenerg-3307	25	20	,	,	PUNCT
fuelectenerg-3307	25	21	7	7	NUM
fuelectenerg-3307	25	22	]	]	PUNCT
fuelectenerg-3307	25	23	.	.	PUNCT
fuelectenerg-3307	26	1	the	the	DET
fuelectenerg-3307	26	2	decomposition	decomposition	NOUN
fuelectenerg-3307	26	3	functions	function	NOUN
fuelectenerg-3307	26	4	of	of	ADP
fuelectenerg-3307	26	5	these	these	DET
fuelectenerg-3307	26	6	bidecompositions	bidecomposition	NOUN
fuelectenerg-3307	26	7	are	be	AUX
fuelectenerg-3307	26	8	simpler	simple	ADJ
fuelectenerg-3307	26	9	than	than	ADP
fuelectenerg-3307	26	10	the	the	DET
fuelectenerg-3307	26	11	given	give	VERB
fuelectenerg-3307	26	12	function	function	NOUN
fuelectenerg-3307	26	13	because	because	SCONJ
fuelectenerg-3307	26	14	they	they	PRON
fuelectenerg-3307	26	15	are	be	AUX
fuelectenerg-3307	26	16	independent	independent	ADJ
fuelectenerg-3307	26	17	of	of	ADP
fuelectenerg-3307	26	18	the	the	DET
fuelectenerg-3307	26	19	simultaneous	simultaneous	ADJ
fuelectenerg-3307	26	20	change	change	NOUN
fuelectenerg-3307	26	21	of	of	ADP
fuelectenerg-3307	26	22	several	several	ADJ
fuelectenerg-3307	26	23	variables	variable	NOUN
fuelectenerg-3307	26	24	.	.	PUNCT
fuelectenerg-3307	27	1	vectorial	vectorial	ADJ
fuelectenerg-3307	27	2	bi	bi	NOUN
fuelectenerg-3307	27	3	-	-	NOUN
fuelectenerg-3307	27	4	decompositions	decomposition	NOUN
fuelectenerg-3307	27	5	can	can	AUX
fuelectenerg-3307	27	6	exist	exist	VERB
fuelectenerg-3307	27	7	for	for	ADP
fuelectenerg-3307	27	8	functions	function	NOUN
fuelectenerg-3307	27	9	without	without	ADP
fuelectenerg-3307	27	10	any	any	DET
fuelectenerg-3307	27	11	strong	strong	ADJ
fuelectenerg-3307	27	12	bi	bi	NOUN
fuelectenerg-3307	27	13	-	-	NOUN
fuelectenerg-3307	27	14	decomposition	decomposition	NOUN
fuelectenerg-3307	27	15	.	.	PUNCT
fuelectenerg-3307	28	1	benefits	benefit	NOUN
fuelectenerg-3307	28	2	of	of	ADP
fuelectenerg-3307	28	3	the	the	DET
fuelectenerg-3307	28	4	vectorial	vectorial	ADJ
fuelectenerg-3307	28	5	bi	bi	NOUN
fuelectenerg-3307	28	6	-	-	NOUN
fuelectenerg-3307	28	7	decomposition	decomposition	NOUN
fuelectenerg-3307	28	8	are	be	AUX
fuelectenerg-3307	28	9	their	their	PRON
fuelectenerg-3307	28	10	contribution	contribution	NOUN
fuelectenerg-3307	28	11	to	to	ADP
fuelectenerg-3307	28	12	balanced	balanced	ADJ
fuelectenerg-3307	28	13	circuits	circuit	NOUN
fuelectenerg-3307	28	14	and	and	CCONJ
fuelectenerg-3307	28	15	the	the	DET
fuelectenerg-3307	28	16	increased	increase	VERB
fuelectenerg-3307	28	17	number	number	NOUN
fuelectenerg-3307	28	18	of	of	ADP
fuelectenerg-3307	28	19	decomposition	decomposition	NOUN
fuelectenerg-3307	28	20	possibilities	possibility	NOUN
fuelectenerg-3307	28	21	in	in	ADP
fuelectenerg-3307	28	22	comparison	comparison	NOUN
fuelectenerg-3307	28	23	to	to	ADP
fuelectenerg-3307	28	24	the	the	DET
fuelectenerg-3307	28	25	strong	strong	ADJ
fuelectenerg-3307	28	26	bi	bi	NOUN
fuelectenerg-3307	28	27	-	-	NOUN
fuelectenerg-3307	28	28	decomposition	decomposition	NOUN
fuelectenerg-3307	28	29	.	.	PUNCT
fuelectenerg-3307	29	1	all	all	DET
fuelectenerg-3307	29	2	bi	bi	ADJ
fuelectenerg-3307	29	3	-	-	ADJ
fuelectenerg-3307	29	4	decomposition	decomposition	NOUN
fuelectenerg-3307	29	5	approaches	approach	NOUN
fuelectenerg-3307	29	6	mentioned	mention	VERB
fuelectenerg-3307	29	7	above	above	ADV
fuelectenerg-3307	29	8	utilize	utilize	VERB
fuelectenerg-3307	29	9	the	the	DET
fuelectenerg-3307	29	10	boolean	boolean	ADJ
fuelectenerg-3307	29	11	differential	differential	NOUN
fuelectenerg-3307	29	12	calculus	calculus	NOUN
fuelectenerg-3307	29	13	(	(	PUNCT
fuelectenerg-3307	29	14	bdc	bdc	PROPN
fuelectenerg-3307	29	15	)	)	PUNCT
fuelectenerg-3307	30	1	[	[	X
fuelectenerg-3307	30	2	3	3	NUM
fuelectenerg-3307	30	3	,	,	PUNCT
fuelectenerg-3307	30	4	4	4	NUM
fuelectenerg-3307	30	5	,	,	PUNCT
fuelectenerg-3307	30	6	8–12	8–12	NOUN
fuelectenerg-3307	30	7	]	]	PUNCT
fuelectenerg-3307	30	8	to	to	PART
fuelectenerg-3307	30	9	find	find	VERB
fuelectenerg-3307	30	10	optimal	optimal	ADJ
fuelectenerg-3307	30	11	bi	bi	NOUN
fuelectenerg-3307	30	12	-	-	NOUN
fuelectenerg-3307	30	13	decompositions	decomposition	NOUN
fuelectenerg-3307	30	14	.	.	PUNCT
fuelectenerg-3307	31	1	there	there	PRON
fuelectenerg-3307	31	2	are	be	VERB
fuelectenerg-3307	31	3	several	several	ADJ
fuelectenerg-3307	31	4	other	other	ADJ
fuelectenerg-3307	31	5	approaches	approach	NOUN
fuelectenerg-3307	31	6	of	of	ADP
fuelectenerg-3307	31	7	bi	bi	NOUN
fuelectenerg-3307	31	8	-	-	NOUN
fuelectenerg-3307	31	9	decompositions	decomposition	NOUN
fuelectenerg-3307	31	10	which	which	PRON
fuelectenerg-3307	31	11	demonstrate	demonstrate	VERB
fuelectenerg-3307	31	12	the	the	DET
fuelectenerg-3307	31	13	interest	interest	NOUN
fuelectenerg-3307	31	14	on	on	ADP
fuelectenerg-3307	31	15	this	this	DET
fuelectenerg-3307	31	16	useful	useful	ADJ
fuelectenerg-3307	31	17	synthesis	synthesis	NOUN
fuelectenerg-3307	31	18	method	method	NOUN
fuelectenerg-3307	31	19	;	;	PUNCT
fuelectenerg-3307	31	20	however	however	ADV
fuelectenerg-3307	31	21	,	,	PUNCT
fuelectenerg-3307	31	22	these	these	DET
fuelectenerg-3307	31	23	other	other	ADJ
fuelectenerg-3307	31	24	approaches	approach	NOUN
fuelectenerg-3307	31	25	are	be	AUX
fuelectenerg-3307	31	26	not	not	PART
fuelectenerg-3307	31	27	directly	directly	ADV
fuelectenerg-3307	31	28	helpful	helpful	ADJ
fuelectenerg-3307	31	29	to	to	PART
fuelectenerg-3307	31	30	solve	solve	VERB
fuelectenerg-3307	31	31	the	the	DET
fuelectenerg-3307	31	32	problem	problem	NOUN
fuelectenerg-3307	31	33	explored	explore	VERB
fuelectenerg-3307	31	34	in	in	ADP
fuelectenerg-3307	31	35	this	this	DET
fuelectenerg-3307	31	36	paper	paper	NOUN
fuelectenerg-3307	31	37	.	.	PUNCT
fuelectenerg-3307	32	1	in	in	ADP
fuelectenerg-3307	32	2	[	[	X
fuelectenerg-3307	32	3	13	13	NUM
fuelectenerg-3307	32	4	]	]	X
fuelectenerg-3307	32	5	a	a	DET
fuelectenerg-3307	32	6	method	method	NOUN
fuelectenerg-3307	32	7	for	for	ADP
fuelectenerg-3307	32	8	disjoint	disjoint	ADJ
fuelectenerg-3307	32	9	bi	bi	NOUN
fuelectenerg-3307	32	10	-	-	NOUN
fuelectenerg-3307	32	11	decompositions	decomposition	NOUN
fuelectenerg-3307	32	12	with	with	ADP
fuelectenerg-3307	32	13	an	an	DET
fuelectenerg-3307	32	14	extension	extension	NOUN
fuelectenerg-3307	32	15	to	to	ADP
fuelectenerg-3307	32	16	non	non	ADJ
fuelectenerg-3307	32	17	-	-	ADJ
fuelectenerg-3307	32	18	disjoint	disjoint	ADJ
fuelectenerg-3307	32	19	bi	bi	NOUN
fuelectenerg-3307	32	20	-	-	NOUN
fuelectenerg-3307	32	21	decompositions	decomposition	NOUN
fuelectenerg-3307	32	22	for	for	ADP
fuelectenerg-3307	32	23	a	a	DET
fuelectenerg-3307	32	24	single	single	ADJ
fuelectenerg-3307	32	25	common	common	ADJ
fuelectenerg-3307	32	26	variable	variable	NOUN
fuelectenerg-3307	32	27	are	be	AUX
fuelectenerg-3307	32	28	suggested	suggest	VERB
fuelectenerg-3307	32	29	.	.	PUNCT
fuelectenerg-3307	33	1	a	a	DET
fuelectenerg-3307	33	2	graph	graph	NOUN
fuelectenerg-3307	33	3	-	-	PUNCT
fuelectenerg-3307	33	4	based	base	VERB
fuelectenerg-3307	33	5	approach	approach	NOUN
fuelectenerg-3307	33	6	for	for	ADP
fuelectenerg-3307	33	7	bi	bi	NOUN
fuelectenerg-3307	33	8	-	-	NOUN
fuelectenerg-3307	33	9	decompositions	decomposition	NOUN
fuelectenerg-3307	33	10	was	be	AUX
fuelectenerg-3307	33	11	suggested	suggest	VERB
fuelectenerg-3307	33	12	in	in	ADP
fuelectenerg-3307	33	13	[	[	X
fuelectenerg-3307	33	14	14	14	NUM
fuelectenerg-3307	33	15	]	]	PUNCT
fuelectenerg-3307	33	16	.	.	PUNCT
fuelectenerg-3307	34	1	unfortunately	unfortunately	ADV
fuelectenerg-3307	34	2	,	,	PUNCT
fuelectenerg-3307	34	3	the	the	DET
fuelectenerg-3307	34	4	used	use	VERB
fuelectenerg-3307	34	5	benchmarks	benchmark	NOUN
fuelectenerg-3307	34	6	in	in	ADP
fuelectenerg-3307	34	7	[	[	X
fuelectenerg-3307	34	8	5	5	NUM
fuelectenerg-3307	34	9	]	]	PUNCT
fuelectenerg-3307	34	10	and	and	CCONJ
fuelectenerg-3307	34	11	[	[	X
fuelectenerg-3307	34	12	14	14	NUM
fuelectenerg-3307	34	13	]	]	PUNCT
fuelectenerg-3307	34	14	overlap	overlap	NOUN
fuelectenerg-3307	34	15	only	only	ADV
fuelectenerg-3307	34	16	partially	partially	ADV
fuelectenerg-3307	34	17	.	.	PUNCT
fuelectenerg-3307	35	1	one	one	NUM
fuelectenerg-3307	35	2	common	common	ADJ
fuelectenerg-3307	35	3	benchmark	benchmark	NOUN
fuelectenerg-3307	35	4	is	be	AUX
fuelectenerg-3307	35	5	t481	t481	PROPN
fuelectenerg-3307	35	6	where	where	SCONJ
fuelectenerg-3307	35	7	our	our	PRON
fuelectenerg-3307	35	8	approach	approach	NOUN
fuelectenerg-3307	35	9	from	from	ADP
fuelectenerg-3307	35	10	[	[	X
fuelectenerg-3307	35	11	5	5	NUM
fuelectenerg-3307	35	12	]	]	PUNCT
fuelectenerg-3307	35	13	outperforms	outperform	VERB
fuelectenerg-3307	35	14	the	the	DET
fuelectenerg-3307	35	15	graph	graph	NOUN
fuelectenerg-3307	35	16	-	-	PUNCT
fuelectenerg-3307	35	17	based	base	VERB
fuelectenerg-3307	35	18	approach	approach	NOUN
fuelectenerg-3307	35	19	from	from	ADP
fuelectenerg-3307	35	20	[	[	X
fuelectenerg-3307	35	21	14	14	NUM
fuelectenerg-3307	35	22	]	]	PUNCT
fuelectenerg-3307	35	23	in	in	ADP
fuelectenerg-3307	35	24	the	the	DET
fuelectenerg-3307	35	25	number	number	NOUN
fuelectenerg-3307	35	26	of	of	ADP
fuelectenerg-3307	35	27	gates	gate	NOUN
fuelectenerg-3307	35	28	(	(	PUNCT
fuelectenerg-3307	35	29	17/25	17/25	NUM
fuelectenerg-3307	35	30	)	)	PUNCT
fuelectenerg-3307	35	31	.	.	PUNCT
fuelectenerg-3307	36	1	recently	recently	ADV
fuelectenerg-3307	36	2	,	,	PUNCT
fuelectenerg-3307	36	3	semi	semi	ADJ
fuelectenerg-3307	36	4	-	-	ADJ
fuelectenerg-3307	36	5	tensor	tensor	ADJ
fuelectenerg-3307	36	6	products	product	NOUN
fuelectenerg-3307	36	7	of	of	ADP
fuelectenerg-3307	36	8	matrices	matrix	NOUN
fuelectenerg-3307	36	9	were	be	AUX
fuelectenerg-3307	36	10	suggested	suggest	VERB
fuelectenerg-3307	36	11	for	for	ADP
fuelectenerg-3307	36	12	bi	bi	NOUN
fuelectenerg-3307	36	13	-	-	NOUN
fuelectenerg-3307	36	14	decompositions	decomposition	NOUN
fuelectenerg-3307	36	15	of	of	ADP
fuelectenerg-3307	36	16	boolean	boolean	ADJ
fuelectenerg-3307	36	17	and	and	CCONJ
fuelectenerg-3307	36	18	multi	multi	ADJ
fuelectenerg-3307	36	19	-	-	ADJ
fuelectenerg-3307	36	20	valued	value	VERB
fuelectenerg-3307	36	21	functions	function	NOUN
fuelectenerg-3307	36	22	[	[	X
fuelectenerg-3307	36	23	15	15	NUM
fuelectenerg-3307	36	24	]	]	PUNCT
fuelectenerg-3307	36	25	.	.	PUNCT
fuelectenerg-3307	37	1	however	however	ADV
fuelectenerg-3307	37	2	,	,	PUNCT
fuelectenerg-3307	37	3	this	this	DET
fuelectenerg-3307	37	4	paper	paper	NOUN
fuelectenerg-3307	37	5	does	do	AUX
fuelectenerg-3307	37	6	not	not	PART
fuelectenerg-3307	37	7	contain	contain	VERB
fuelectenerg-3307	37	8	experimental	experimental	ADJ
fuelectenerg-3307	37	9	results	result	NOUN
fuelectenerg-3307	37	10	of	of	ADP
fuelectenerg-3307	37	11	benchmark	benchmark	NOUN
fuelectenerg-3307	37	12	circuits	circuit	NOUN
fuelectenerg-3307	37	13	.	.	PUNCT
fuelectenerg-3307	38	1	it	it	PRON
fuelectenerg-3307	38	2	is	be	AUX
fuelectenerg-3307	38	3	a	a	DET
fuelectenerg-3307	38	4	property	property	NOUN
fuelectenerg-3307	38	5	of	of	ADP
fuelectenerg-3307	38	6	the	the	DET
fuelectenerg-3307	38	7	given	give	VERB
fuelectenerg-3307	38	8	function	function	NOUN
fuelectenerg-3307	38	9	whether	whether	SCONJ
fuelectenerg-3307	38	10	it	it	PRON
fuelectenerg-3307	38	11	can	can	AUX
fuelectenerg-3307	38	12	be	be	AUX
fuelectenerg-3307	38	13	decomposed	decompose	VERB
fuelectenerg-3307	38	14	into	into	ADP
fuelectenerg-3307	38	15	two	two	NUM
fuelectenerg-3307	38	16	simpler	simple	ADJ
fuelectenerg-3307	38	17	decomposition	decomposition	NOUN
fuelectenerg-3307	38	18	functions	function	NOUN
fuelectenerg-3307	38	19	using	use	VERB
fuelectenerg-3307	38	20	a	a	DET
fuelectenerg-3307	38	21	certain	certain	ADJ
fuelectenerg-3307	38	22	type	type	NOUN
fuelectenerg-3307	38	23	of	of	ADP
fuelectenerg-3307	38	24	bi	bi	NOUN
fuelectenerg-3307	38	25	-	-	NOUN
fuelectenerg-3307	38	26	decomposition	decomposition	NOUN
fuelectenerg-3307	38	27	.	.	PUNCT
fuelectenerg-3307	39	1	the	the	DET
fuelectenerg-3307	39	2	possibility	possibility	NOUN
fuelectenerg-3307	39	3	to	to	PART
fuelectenerg-3307	39	4	find	find	VERB
fuelectenerg-3307	39	5	a	a	DET
fuelectenerg-3307	39	6	bi	bi	ADJ
fuelectenerg-3307	39	7	-	-	ADJ
fuelectenerg-3307	39	8	decomposition	decomposition	NOUN
fuelectenerg-3307	39	9	increases	increase	NOUN
fuelectenerg-3307	39	10	when	when	SCONJ
fuelectenerg-3307	39	11	the	the	DET
fuelectenerg-3307	39	12	function	function	NOUN
fuelectenerg-3307	39	13	to	to	PART
fuelectenerg-3307	39	14	decompose	decompose	VERB
fuelectenerg-3307	39	15	can	can	AUX
fuelectenerg-3307	39	16	be	be	AUX
fuelectenerg-3307	39	17	chosen	choose	VERB
fuelectenerg-3307	39	18	from	from	ADP
fuelectenerg-3307	39	19	a	a	DET
fuelectenerg-3307	39	20	lattice	lattice	NOUN
fuelectenerg-3307	39	21	of	of	ADP
fuelectenerg-3307	39	22	boolean	boolean	ADJ
fuelectenerg-3307	39	23	functions	function	NOUN
fuelectenerg-3307	39	24	.	.	PUNCT
fuelectenerg-3307	40	1	incompletely	incompletely	ADV
fuelectenerg-3307	40	2	specified	specify	VERB
fuelectenerg-3307	40	3	functions	function	NOUN
fuelectenerg-3307	40	4	facta	facta	PROPN
fuelectenerg-3307	40	5	universitatis	universitatis	PROPN
fuelectenerg-3307	40	6	series	series	NOUN
fuelectenerg-3307	40	7	:	:	PUNCT
fuelectenerg-3307	40	8	electronics	electronic	NOUN
fuelectenerg-3307	40	9	and	and	CCONJ
fuelectenerg-3307	40	10	energetics	energetics	NOUN
fuelectenerg-3307	40	11	vol	vol	NOUN
fuelectenerg-3307	40	12	.	.	PUNCT
fuelectenerg-3307	41	1	31	31	NUM
fuelectenerg-3307	41	2	,	,	PUNCT
fuelectenerg-3307	41	3	no	no	DET
fuelectenerg-3307	41	4	2	2	NUM
fuelectenerg-3307	41	5	,	,	PUNCT
fuelectenerg-3307	41	6	june	june	PROPN
fuelectenerg-3307	41	7	2018	2018	NUM
fuelectenerg-3307	41	8	,	,	PUNCT
fuelectenerg-3307	41	9	pp	pp	ADV
fuelectenerg-3307	41	10	.	.	PUNCT
fuelectenerg-3307	42	1	223	223	NUM
fuelectenerg-3307	42	2	240	240	NUM
fuelectenerg-3307	42	3	https://doi.org/10.2298/fuee1802223s	https://doi.org/10.2298/fuee1802223s	PROPN
fuelectenerg-3307	42	4	bernd	bernd	PROPN
fuelectenerg-3307	42	5	steinbach1	steinbach1	PROPN
fuelectenerg-3307	42	6	,	,	PUNCT
fuelectenerg-3307	42	7	christian	christian	PROPN
fuelectenerg-3307	42	8	posthoff2	posthoff2	PROPN
fuelectenerg-3307	42	9	received	receive	VERB
fuelectenerg-3307	42	10	october	october	PROPN
fuelectenerg-3307	42	11	21	21	NUM
fuelectenerg-3307	42	12	,	,	PUNCT
fuelectenerg-3307	42	13	2017	2017	NUM
fuelectenerg-3307	42	14	;	;	PUNCT
fuelectenerg-3307	42	15	received	receive	VERB
fuelectenerg-3307	42	16	in	in	ADP
fuelectenerg-3307	42	17	revised	revise	VERB
fuelectenerg-3307	42	18	form	form	NOUN
fuelectenerg-3307	42	19	january	january	PROPN
fuelectenerg-3307	42	20	24	24	NUM
fuelectenerg-3307	42	21	,	,	PUNCT
fuelectenerg-3307	42	22	2018	2018	NUM
fuelectenerg-3307	42	23	corresponding	correspond	VERB
fuelectenerg-3307	42	24	author	author	NOUN
fuelectenerg-3307	42	25	:	:	PUNCT
fuelectenerg-3307	42	26	bernd	bernd	PROPN
fuelectenerg-3307	42	27	steinbach	steinbach	PROPN
fuelectenerg-3307	42	28	institute	institute	PROPN
fuelectenerg-3307	42	29	of	of	ADP
fuelectenerg-3307	42	30	computer	computer	NOUN
fuelectenerg-3307	42	31	science	science	NOUN
fuelectenerg-3307	42	32	,	,	PUNCT
fuelectenerg-3307	42	33	freiberg	freiberg	PROPN
fuelectenerg-3307	42	34	university	university	PROPN
fuelectenerg-3307	42	35	of	of	ADP
fuelectenerg-3307	42	36	mining	mining	NOUN
fuelectenerg-3307	42	37	and	and	CCONJ
fuelectenerg-3307	42	38	technology	technology	NOUN
fuelectenerg-3307	42	39	,	,	PUNCT
fuelectenerg-3307	42	40	bernhard	bernhard	PROPN
fuelectenerg-3307	42	41	-	-	PUNCT
fuelectenerg-3307	42	42	von	von	PROPN
fuelectenerg-3307	42	43	-	-	PUNCT
fuelectenerg-3307	42	44	cotta	cotta	NOUN
fuelectenerg-3307	42	45	-	-	PUNCT
fuelectenerg-3307	42	46	str	str	NOUN
fuelectenerg-3307	42	47	.	.	PUNCT
fuelectenerg-3307	43	1	2	2	NUM
fuelectenerg-3307	43	2	,	,	PUNCT
fuelectenerg-3307	43	3	d-09596	d-09596	PROPN
fuelectenerg-3307	43	4	freiberg	freiberg	PROPN
fuelectenerg-3307	43	5	,	,	PUNCT
fuelectenerg-3307	43	6	germany	germany	PROPN
fuelectenerg-3307	43	7	(	(	PUNCT
fuelectenerg-3307	43	8	e	e	NOUN
fuelectenerg-3307	43	9	-	-	NOUN
fuelectenerg-3307	43	10	mail	mail	NOUN
fuelectenerg-3307	43	11	:	:	PUNCT
fuelectenerg-3307	43	12	steinb@informatik.tu-freiberg.de	steinb@informatik.tu-freiberg.de	X
fuelectenerg-3307	43	13	)	)	PUNCT
fuelectenerg-3307	43	14	*	*	PUNCT
fuelectenerg-3307	43	15	an	an	DET
fuelectenerg-3307	43	16	earlier	early	ADJ
fuelectenerg-3307	43	17	version	version	NOUN
fuelectenerg-3307	43	18	of	of	ADP
fuelectenerg-3307	43	19	this	this	DET
fuelectenerg-3307	43	20	paper	paper	NOUN
fuelectenerg-3307	43	21	was	be	AUX
fuelectenerg-3307	43	22	presented	present	VERB
fuelectenerg-3307	43	23	as	as	ADP
fuelectenerg-3307	43	24	an	an	DET
fuelectenerg-3307	43	25	invited	invite	VERB
fuelectenerg-3307	43	26	address	address	NOUN
fuelectenerg-3307	43	27	at	at	ADP
fuelectenerg-3307	43	28	the	the	DET
fuelectenerg-3307	43	29	reed	reed	NOUN
fuelectenerg-3307	43	30	-	-	PUNCT
fuelectenerg-3307	43	31	muller	muller	NOUN
fuelectenerg-3307	43	32	2017	2017	NUM
fuelectenerg-3307	43	33	workshop	workshop	NOUN
fuelectenerg-3307	43	34	,	,	PUNCT
fuelectenerg-3307	43	35	novi	novi	PROPN
fuelectenerg-3307	43	36	sad	sad	PROPN
fuelectenerg-3307	43	37	,	,	PUNCT
fuelectenerg-3307	43	38	serbia	serbia	PROPN
fuelectenerg-3307	43	39	,	,	PUNCT
fuelectenerg-3307	43	40	may	may	AUX
fuelectenerg-3307	43	41	24	24	NUM
fuelectenerg-3307	43	42	-	-	SYM
fuelectenerg-3307	43	43	25	25	NUM
fuelectenerg-3307	43	44	,	,	PUNCT
fuelectenerg-3307	43	45	2017	2017	NUM
fuelectenerg-3307	43	46	facta	facta	NOUN
fuelectenerg-3307	43	47	universitatis	universitatis	PROPN
fuelectenerg-3307	43	48	series	series	NOUN
fuelectenerg-3307	43	49	:	:	PUNCT
fuelectenerg-3307	43	50	electronics	electronic	NOUN
fuelectenerg-3307	43	51	and	and	CCONJ
fuelectenerg-3307	43	52	energetics	energetics	NOUN
fuelectenerg-3307	43	53	vol	vol	NOUN
fuelectenerg-3307	43	54	.	.	PUNCT
fuelectenerg-3307	44	1	28	28	NUM
fuelectenerg-3307	44	2	,	,	PUNCT
fuelectenerg-3307	44	3	no	no	DET
fuelectenerg-3307	44	4	4	4	NUM
fuelectenerg-3307	44	5	,	,	PUNCT
fuelectenerg-3307	44	6	december	december	PROPN
fuelectenerg-3307	44	7	2015	2015	NUM
fuelectenerg-3307	44	8	,	,	PUNCT
fuelectenerg-3307	44	9	pp	pp	ADJ
fuelectenerg-3307	44	10	.	.	PUNCT
fuelectenerg-3307	45	1	507	507	NUM
fuelectenerg-3307	45	2	525	525	NUM
fuelectenerg-3307	45	3	doi	doi	NOUN
fuelectenerg-3307	45	4	:	:	PUNCT
fuelectenerg-3307	45	5	10.2298	10.2298	NUM
fuelectenerg-3307	45	6	/	/	SYM
fuelectenerg-3307	45	7	fuee1504507s	fuee1504507	VERB
fuelectenerg-3307	45	8	horizontal	horizontal	ADJ
fuelectenerg-3307	45	9	current	current	ADJ
fuelectenerg-3307	45	10	bipolar	bipolar	ADJ
fuelectenerg-3307	45	11	transistor	transistor	NOUN
fuelectenerg-3307	45	12	(	(	PUNCT
fuelectenerg-3307	45	13	hcbt	hcbt	NOUN
fuelectenerg-3307	45	14	)	)	PUNCT
fuelectenerg-3307	45	15	–	–	PUNCT
fuelectenerg-3307	45	16	a	a	DET
fuelectenerg-3307	45	17	low	low	ADJ
fuelectenerg-3307	45	18	-	-	PUNCT
fuelectenerg-3307	45	19	cost	cost	NOUN
fuelectenerg-3307	45	20	,	,	PUNCT
fuelectenerg-3307	45	21	high	high	ADJ
fuelectenerg-3307	45	22	-	-	PUNCT
fuelectenerg-3307	45	23	performance	performance	NOUN
fuelectenerg-3307	45	24	flexible	flexible	ADJ
fuelectenerg-3307	45	25	bicmos	bicmos	PROPN
fuelectenerg-3307	45	26	technology	technology	PROPN
fuelectenerg-3307	45	27	for	for	ADP
fuelectenerg-3307	45	28	rf	rf	NOUN
fuelectenerg-3307	45	29	communication	communication	NOUN
fuelectenerg-3307	45	30	applications	applications	X
fuelectenerg-3307	45	31	tomislav	tomislav	PROPN
fuelectenerg-3307	45	32	suligoj1	suligoj1	PROPN
fuelectenerg-3307	45	33	,	,	PUNCT
fuelectenerg-3307	45	34	marko	marko	PROPN
fuelectenerg-3307	45	35	koričić1	koričić1	PROPN
fuelectenerg-3307	45	36	,	,	PUNCT
fuelectenerg-3307	45	37	josip	josip	PROPN
fuelectenerg-3307	45	38	žilak1	žilak1	PROPN
fuelectenerg-3307	45	39	,	,	PUNCT
fuelectenerg-3307	45	40	hidenori	hidenori	PROPN
fuelectenerg-3307	45	41	mochizuki2	mochizuki2	PROPN
fuelectenerg-3307	45	42	,	,	PUNCT
fuelectenerg-3307	45	43	so	so	ADV
fuelectenerg-3307	45	44	-	-	PUNCT
fuelectenerg-3307	45	45	ichi	ichi	ADJ
fuelectenerg-3307	45	46	morita2	morita2	NOUN
fuelectenerg-3307	45	47	,	,	PUNCT
fuelectenerg-3307	45	48	katsumi	katsumi	PROPN
fuelectenerg-3307	45	49	shinomura2	shinomura2	PROPN
fuelectenerg-3307	45	50	,	,	PUNCT
fuelectenerg-3307	45	51	hisaya	hisaya	NOUN
fuelectenerg-3307	45	52	imai2	imai2	PROPN
fuelectenerg-3307	45	53	1university	1university	NUM
fuelectenerg-3307	45	54	of	of	ADP
fuelectenerg-3307	45	55	zagreb	zagreb	PROPN
fuelectenerg-3307	45	56	,	,	PUNCT
fuelectenerg-3307	45	57	faculty	faculty	NOUN
fuelectenerg-3307	45	58	of	of	ADP
fuelectenerg-3307	45	59	electrical	electrical	ADJ
fuelectenerg-3307	45	60	engineering	engineering	NOUN
fuelectenerg-3307	45	61	and	and	CCONJ
fuelectenerg-3307	45	62	computing	computing	NOUN
fuelectenerg-3307	45	63	,	,	PUNCT
fuelectenerg-3307	45	64	department	department	NOUN
fuelectenerg-3307	45	65	of	of	ADP
fuelectenerg-3307	45	66	electronics	electronic	NOUN
fuelectenerg-3307	45	67	,	,	PUNCT
fuelectenerg-3307	45	68	microand	microand	NOUN
fuelectenerg-3307	45	69	nano	nano	NOUN
fuelectenerg-3307	45	70	-	-	PUNCT
fuelectenerg-3307	45	71	electronics	electronic	NOUN
fuelectenerg-3307	45	72	laboratory	laboratory	NOUN
fuelectenerg-3307	45	73	,	,	PUNCT
fuelectenerg-3307	45	74	croatia	croatia	PROPN
fuelectenerg-3307	45	75	2asahi	2asahi	PROPN
fuelectenerg-3307	45	76	kasei	kasei	PROPN
fuelectenerg-3307	45	77	microdevices	microdevices	PROPN
fuelectenerg-3307	45	78	co.	co.	PROPN
fuelectenerg-3307	45	79	5	5	NUM
fuelectenerg-3307	45	80	-	-	SYM
fuelectenerg-3307	45	81	4960	4960	NUM
fuelectenerg-3307	45	82	,	,	PUNCT
fuelectenerg-3307	45	83	nobeoka	nobeoka	NOUN
fuelectenerg-3307	45	84	,	,	PUNCT
fuelectenerg-3307	45	85	miyazaki	miyazaki	PROPN
fuelectenerg-3307	45	86	,	,	PUNCT
fuelectenerg-3307	45	87	882	882	NUM
fuelectenerg-3307	45	88	-	-	SYM
fuelectenerg-3307	45	89	0031	0031	NUM
fuelectenerg-3307	45	90	,	,	PUNCT
fuelectenerg-3307	45	91	japan	japan	PROPN
fuelectenerg-3307	45	92	abstract	abstract	PROPN
fuelectenerg-3307	45	93	.	.	PUNCT
fuelectenerg-3307	46	1	in	in	ADP
fuelectenerg-3307	46	2	an	an	DET
fuelectenerg-3307	46	3	overview	overview	NOUN
fuelectenerg-3307	46	4	of	of	ADP
fuelectenerg-3307	46	5	horizontal	horizontal	ADJ
fuelectenerg-3307	46	6	current	current	ADJ
fuelectenerg-3307	46	7	bipolar	bipolar	ADJ
fuelectenerg-3307	46	8	transistor	transistor	NOUN
fuelectenerg-3307	46	9	(	(	PUNCT
fuelectenerg-3307	46	10	hcbt	hcbt	NOUN
fuelectenerg-3307	46	11	)	)	PUNCT
fuelectenerg-3307	46	12	technology	technology	NOUN
fuelectenerg-3307	46	13	,	,	PUNCT
fuelectenerg-3307	46	14	the	the	DET
fuelectenerg-3307	46	15	state	state	NOUN
fuelectenerg-3307	46	16	-	-	PUNCT
fuelectenerg-3307	46	17	of	of	ADP
fuelectenerg-3307	46	18	-	-	PUNCT
fuelectenerg-3307	46	19	the	the	DET
fuelectenerg-3307	46	20	-	-	PUNCT
fuelectenerg-3307	46	21	art	art	NOUN
fuelectenerg-3307	46	22	integrated	integrate	VERB
fuelectenerg-3307	46	23	silicon	silicon	NOUN
fuelectenerg-3307	46	24	bipolar	bipolar	ADJ
fuelectenerg-3307	46	25	transistors	transistor	NOUN
fuelectenerg-3307	46	26	are	be	AUX
fuelectenerg-3307	46	27	described	describe	VERB
fuelectenerg-3307	46	28	which	which	PRON
fuelectenerg-3307	46	29	exhibit	exhibit	VERB
fuelectenerg-3307	46	30	ft	ft	PROPN
fuelectenerg-3307	46	31	and	and	CCONJ
fuelectenerg-3307	46	32	fmax	fmax	PROPN
fuelectenerg-3307	46	33	of	of	ADP
fuelectenerg-3307	46	34	51	51	NUM
fuelectenerg-3307	46	35	ghz	ghz	NOUN
fuelectenerg-3307	46	36	and	and	CCONJ
fuelectenerg-3307	46	37	61	61	NUM
fuelectenerg-3307	46	38	ghz	ghz	NOUN
fuelectenerg-3307	46	39	and	and	CCONJ
fuelectenerg-3307	46	40	ftbvceo	ftbvceo	ADJ
fuelectenerg-3307	46	41	product	product	NOUN
fuelectenerg-3307	46	42	of	of	ADP
fuelectenerg-3307	46	43	173	173	NUM
fuelectenerg-3307	46	44	ghzv	ghzv	NOUN
fuelectenerg-3307	46	45	that	that	PRON
fuelectenerg-3307	46	46	are	be	AUX
fuelectenerg-3307	46	47	among	among	ADP
fuelectenerg-3307	46	48	the	the	DET
fuelectenerg-3307	46	49	highest	high	ADJ
fuelectenerg-3307	46	50	-	-	PUNCT
fuelectenerg-3307	46	51	performance	performance	NOUN
fuelectenerg-3307	46	52	implanted	implant	VERB
fuelectenerg-3307	46	53	-	-	PUNCT
fuelectenerg-3307	46	54	base	base	NOUN
fuelectenerg-3307	46	55	,	,	PUNCT
fuelectenerg-3307	46	56	silicon	silicon	NOUN
fuelectenerg-3307	46	57	bipolar	bipolar	ADJ
fuelectenerg-3307	46	58	transistors	transistor	NOUN
fuelectenerg-3307	46	59	.	.	PUNCT
fuelectenerg-3307	47	1	hbct	hbct	ADV
fuelectenerg-3307	47	2	is	be	AUX
fuelectenerg-3307	47	3	integrated	integrate	VERB
fuelectenerg-3307	47	4	with	with	ADP
fuelectenerg-3307	47	5	cmos	cmos	PROPN
fuelectenerg-3307	47	6	in	in	ADP
fuelectenerg-3307	47	7	a	a	DET
fuelectenerg-3307	47	8	considerably	considerably	ADV
fuelectenerg-3307	47	9	lower	low	ADJ
fuelectenerg-3307	47	10	-	-	PUNCT
fuelectenerg-3307	47	11	cost	cost	NOUN
fuelectenerg-3307	47	12	fabrication	fabrication	NOUN
fuelectenerg-3307	47	13	sequence	sequence	NOUN
fuelectenerg-3307	47	14	as	as	ADP
fuelectenerg-3307	47	15	compared	compare	VERB
fuelectenerg-3307	47	16	to	to	ADP
fuelectenerg-3307	47	17	standard	standard	ADJ
fuelectenerg-3307	47	18	vertical	vertical	ADJ
fuelectenerg-3307	47	19	-	-	PUNCT
fuelectenerg-3307	47	20	current	current	ADJ
fuelectenerg-3307	47	21	bipolar	bipolar	ADJ
fuelectenerg-3307	47	22	transistors	transistor	NOUN
fuelectenerg-3307	47	23	with	with	ADP
fuelectenerg-3307	47	24	only	only	ADV
fuelectenerg-3307	47	25	2	2	NUM
fuelectenerg-3307	47	26	or	or	CCONJ
fuelectenerg-3307	47	27	3	3	NUM
fuelectenerg-3307	47	28	additional	additional	ADJ
fuelectenerg-3307	47	29	masks	mask	NOUN
fuelectenerg-3307	47	30	and	and	CCONJ
fuelectenerg-3307	47	31	fewer	few	ADJ
fuelectenerg-3307	47	32	process	process	NOUN
fuelectenerg-3307	47	33	steps	step	NOUN
fuelectenerg-3307	47	34	.	.	PUNCT
fuelectenerg-3307	48	1	due	due	ADP
fuelectenerg-3307	48	2	to	to	ADP
fuelectenerg-3307	48	3	its	its	PRON
fuelectenerg-3307	48	4	specific	specific	ADJ
fuelectenerg-3307	48	5	structure	structure	NOUN
fuelectenerg-3307	48	6	,	,	PUNCT
fuelectenerg-3307	48	7	the	the	DET
fuelectenerg-3307	48	8	charge	charge	NOUN
fuelectenerg-3307	48	9	sharing	sharing	NOUN
fuelectenerg-3307	48	10	effect	effect	NOUN
fuelectenerg-3307	48	11	can	can	AUX
fuelectenerg-3307	48	12	be	be	AUX
fuelectenerg-3307	48	13	employed	employ	VERB
fuelectenerg-3307	48	14	to	to	PART
fuelectenerg-3307	48	15	increase	increase	VERB
fuelectenerg-3307	48	16	bvceo	bvceo	ADV
fuelectenerg-3307	48	17	without	without	ADP
fuelectenerg-3307	48	18	sacrificing	sacrifice	VERB
fuelectenerg-3307	48	19	ft	ft	X
fuelectenerg-3307	48	20	and	and	CCONJ
fuelectenerg-3307	48	21	fmax	fmax	PROPN
fuelectenerg-3307	48	22	.	.	PUNCT
fuelectenerg-3307	49	1	moreover	moreover	ADV
fuelectenerg-3307	49	2	,	,	PUNCT
fuelectenerg-3307	49	3	the	the	DET
fuelectenerg-3307	49	4	electric	electric	ADJ
fuelectenerg-3307	49	5	field	field	NOUN
fuelectenerg-3307	49	6	can	can	AUX
fuelectenerg-3307	49	7	be	be	AUX
fuelectenerg-3307	49	8	engineered	engineer	VERB
fuelectenerg-3307	49	9	just	just	ADV
fuelectenerg-3307	49	10	by	by	ADP
fuelectenerg-3307	49	11	manipulating	manipulate	VERB
fuelectenerg-3307	49	12	the	the	DET
fuelectenerg-3307	49	13	lithography	lithography	NOUN
fuelectenerg-3307	49	14	masks	mask	NOUN
fuelectenerg-3307	49	15	achieving	achieve	VERB
fuelectenerg-3307	49	16	the	the	DET
fuelectenerg-3307	49	17	high	high	ADJ
fuelectenerg-3307	49	18	-	-	PUNCT
fuelectenerg-3307	49	19	voltage	voltage	NOUN
fuelectenerg-3307	49	20	hcbts	hcbt	NOUN
fuelectenerg-3307	49	21	with	with	ADP
fuelectenerg-3307	49	22	breakdowns	breakdown	NOUN
fuelectenerg-3307	49	23	up	up	ADP
fuelectenerg-3307	49	24	to	to	PART
fuelectenerg-3307	49	25	36	36	NUM
fuelectenerg-3307	49	26	v	v	NOUN
fuelectenerg-3307	49	27	integrated	integrate	VERB
fuelectenerg-3307	49	28	in	in	ADP
fuelectenerg-3307	49	29	the	the	DET
fuelectenerg-3307	49	30	same	same	ADJ
fuelectenerg-3307	49	31	process	process	NOUN
fuelectenerg-3307	49	32	flow	flow	NOUN
fuelectenerg-3307	49	33	with	with	ADP
fuelectenerg-3307	49	34	high	high	ADJ
fuelectenerg-3307	49	35	-	-	PUNCT
fuelectenerg-3307	49	36	speed	speed	NOUN
fuelectenerg-3307	49	37	devices	device	NOUN
fuelectenerg-3307	49	38	,	,	PUNCT
fuelectenerg-3307	49	39	i.e.	i.e.	X
fuelectenerg-3307	49	40	at	at	ADP
fuelectenerg-3307	49	41	zero	zero	NUM
fuelectenerg-3307	49	42	additional	additional	ADJ
fuelectenerg-3307	49	43	costs	cost	NOUN
fuelectenerg-3307	49	44	.	.	PUNCT
fuelectenerg-3307	50	1	double	double	ADJ
fuelectenerg-3307	50	2	-	-	PUNCT
fuelectenerg-3307	50	3	balanced	balanced	ADJ
fuelectenerg-3307	50	4	active	active	ADJ
fuelectenerg-3307	50	5	mixer	mixer	NOUN
fuelectenerg-3307	50	6	circuit	circuit	NOUN
fuelectenerg-3307	50	7	is	be	AUX
fuelectenerg-3307	50	8	designed	design	VERB
fuelectenerg-3307	50	9	and	and	CCONJ
fuelectenerg-3307	50	10	fabricated	fabricate	VERB
fuelectenerg-3307	50	11	in	in	ADP
fuelectenerg-3307	50	12	hcbt	hcbt	NOUN
fuelectenerg-3307	50	13	technology	technology	NOUN
fuelectenerg-3307	50	14	.	.	PUNCT
fuelectenerg-3307	51	1	the	the	DET
fuelectenerg-3307	51	2	maximum	maximum	ADJ
fuelectenerg-3307	51	3	iip3	iip3	NOUN
fuelectenerg-3307	51	4	of	of	ADP
fuelectenerg-3307	51	5	17.7	17.7	NUM
fuelectenerg-3307	51	6	dbm	dbm	NOUN
fuelectenerg-3307	51	7	at	at	ADP
fuelectenerg-3307	51	8	mixer	mixer	PROPN
fuelectenerg-3307	51	9	current	current	ADJ
fuelectenerg-3307	51	10	of	of	ADP
fuelectenerg-3307	51	11	9.2	9.2	NUM
fuelectenerg-3307	51	12	ma	ma	PROPN
fuelectenerg-3307	51	13	and	and	CCONJ
fuelectenerg-3307	51	14	conversion	conversion	NOUN
fuelectenerg-3307	51	15	gain	gain	NOUN
fuelectenerg-3307	51	16	of	of	ADP
fuelectenerg-3307	51	17	-5	-5	INTJ
fuelectenerg-3307	51	18	db	db	PROPN
fuelectenerg-3307	51	19	are	be	AUX
fuelectenerg-3307	51	20	achieved	achieve	VERB
fuelectenerg-3307	51	21	.	.	PUNCT
fuelectenerg-3307	52	1	key	key	ADJ
fuelectenerg-3307	52	2	words	word	NOUN
fuelectenerg-3307	52	3	:	:	PUNCT
fuelectenerg-3307	52	4	bicmos	bicmos	ADJ
fuelectenerg-3307	52	5	technology	technology	NOUN
fuelectenerg-3307	52	6	,	,	PUNCT
fuelectenerg-3307	52	7	bipolar	bipolar	ADJ
fuelectenerg-3307	52	8	transistors	transistor	NOUN
fuelectenerg-3307	52	9	,	,	PUNCT
fuelectenerg-3307	52	10	horizontal	horizontal	ADJ
fuelectenerg-3307	52	11	current	current	ADJ
fuelectenerg-3307	52	12	bipolar	bipolar	ADJ
fuelectenerg-3307	52	13	transistor	transistor	NOUN
fuelectenerg-3307	52	14	,	,	PUNCT
fuelectenerg-3307	52	15	radio	radio	NOUN
fuelectenerg-3307	52	16	frequency	frequency	NOUN
fuelectenerg-3307	52	17	integrated	integrate	VERB
fuelectenerg-3307	52	18	circuits	circuit	NOUN
fuelectenerg-3307	52	19	,	,	PUNCT
fuelectenerg-3307	52	20	mixer	mixer	NOUN
fuelectenerg-3307	52	21	,	,	PUNCT
fuelectenerg-3307	52	22	high	high	ADJ
fuelectenerg-3307	52	23	-	-	PUNCT
fuelectenerg-3307	52	24	voltage	voltage	NOUN
fuelectenerg-3307	52	25	bipolar	bipolar	ADJ
fuelectenerg-3307	52	26	transistors	transistor	NOUN
fuelectenerg-3307	52	27	.	.	PUNCT
fuelectenerg-3307	53	1	1	1	X
fuelectenerg-3307	53	2	.	.	X
fuelectenerg-3307	53	3	introduction	introduction	NOUN
fuelectenerg-3307	53	4	in	in	ADP
fuelectenerg-3307	53	5	the	the	DET
fuelectenerg-3307	53	6	highly	highly	ADV
fuelectenerg-3307	53	7	competitive	competitive	ADJ
fuelectenerg-3307	53	8	wireless	wireless	ADJ
fuelectenerg-3307	53	9	communication	communication	NOUN
fuelectenerg-3307	53	10	markets	market	NOUN
fuelectenerg-3307	53	11	,	,	PUNCT
fuelectenerg-3307	53	12	the	the	DET
fuelectenerg-3307	53	13	rf	rf	ADJ
fuelectenerg-3307	53	14	circuits	circuit	NOUN
fuelectenerg-3307	53	15	and	and	CCONJ
fuelectenerg-3307	53	16	systems	system	NOUN
fuelectenerg-3307	53	17	are	be	AUX
fuelectenerg-3307	53	18	fabricated	fabricate	VERB
fuelectenerg-3307	53	19	in	in	ADP
fuelectenerg-3307	53	20	the	the	DET
fuelectenerg-3307	53	21	technologies	technology	NOUN
fuelectenerg-3307	53	22	that	that	PRON
fuelectenerg-3307	53	23	are	be	AUX
fuelectenerg-3307	53	24	very	very	ADV
fuelectenerg-3307	53	25	cost	cost	NOUN
fuelectenerg-3307	53	26	-	-	PUNCT
fuelectenerg-3307	53	27	sensitive	sensitive	ADJ
fuelectenerg-3307	53	28	.	.	PUNCT
fuelectenerg-3307	54	1	in	in	ADP
fuelectenerg-3307	54	2	order	order	NOUN
fuelectenerg-3307	54	3	to	to	PART
fuelectenerg-3307	54	4	minimize	minimize	VERB
fuelectenerg-3307	54	5	the	the	DET
fuelectenerg-3307	54	6	fabrication	fabrication	NOUN
fuelectenerg-3307	54	7	costs	cost	NOUN
fuelectenerg-3307	54	8	,	,	PUNCT
fuelectenerg-3307	54	9	the	the	DET
fuelectenerg-3307	54	10	sub-10	sub-10	NUM
fuelectenerg-3307	54	11	ghz	ghz	NOUN
fuelectenerg-3307	54	12	applications	application	NOUN
fuelectenerg-3307	54	13	can	can	AUX
fuelectenerg-3307	54	14	be	be	AUX
fuelectenerg-3307	54	15	processed	process	VERB
fuelectenerg-3307	54	16	by	by	ADP
fuelectenerg-3307	54	17	using	use	VERB
fuelectenerg-3307	54	18	the	the	DET
fuelectenerg-3307	54	19	high	high	ADJ
fuelectenerg-3307	54	20	-	-	PUNCT
fuelectenerg-3307	54	21	volume	volume	NOUN
fuelectenerg-3307	54	22	silicon	silicon	NOUN
fuelectenerg-3307	54	23	technologies	technology	NOUN
fuelectenerg-3307	54	24	.	.	PUNCT
fuelectenerg-3307	55	1	it	it	PRON
fuelectenerg-3307	55	2	has	have	AUX
fuelectenerg-3307	55	3	been	be	AUX
fuelectenerg-3307	55	4	identified	identify	VERB
fuelectenerg-3307	55	5	that	that	SCONJ
fuelectenerg-3307	55	6	the	the	DET
fuelectenerg-3307	55	7	optimum	optimum	ADJ
fuelectenerg-3307	55	8	solution	solution	NOUN
fuelectenerg-3307	55	9	might	might	AUX
fuelectenerg-3307	55	10	received	receive	VERB
fuelectenerg-3307	55	11	march	march	PROPN
fuelectenerg-3307	55	12	9	9	NUM
fuelectenerg-3307	55	13	,	,	PUNCT
fuelectenerg-3307	55	14	2015	2015	NUM
fuelectenerg-3307	55	15	corresponding	correspond	VERB
fuelectenerg-3307	55	16	author	author	NOUN
fuelectenerg-3307	55	17	:	:	PUNCT
fuelectenerg-3307	55	18	tomislav	tomislav	PROPN
fuelectenerg-3307	55	19	suligoj	suligoj	PROPN
fuelectenerg-3307	55	20	university	university	PROPN
fuelectenerg-3307	55	21	of	of	ADP
fuelectenerg-3307	55	22	zagreb	zagreb	PROPN
fuelectenerg-3307	55	23	,	,	PUNCT
fuelectenerg-3307	55	24	faculty	faculty	NOUN
fuelectenerg-3307	55	25	of	of	ADP
fuelectenerg-3307	55	26	electrical	electrical	ADJ
fuelectenerg-3307	55	27	engineering	engineering	NOUN
fuelectenerg-3307	55	28	and	and	CCONJ
fuelectenerg-3307	55	29	computing	computing	NOUN
fuelectenerg-3307	55	30	,	,	PUNCT
fuelectenerg-3307	55	31	department	department	NOUN
fuelectenerg-3307	55	32	of	of	ADP
fuelectenerg-3307	55	33	electronics	electronic	NOUN
fuelectenerg-3307	55	34	,	,	PUNCT
fuelectenerg-3307	55	35	microand	microand	NOUN
fuelectenerg-3307	55	36	nano	nano	NOUN
fuelectenerg-3307	55	37	-	-	PUNCT
fuelectenerg-3307	55	38	electronics	electronic	NOUN
fuelectenerg-3307	55	39	laboratory	laboratory	NOUN
fuelectenerg-3307	55	40	,	,	PUNCT
fuelectenerg-3307	55	41	croatia	croatia	PROPN
fuelectenerg-3307	55	42	(	(	PUNCT
fuelectenerg-3307	55	43	e	e	NOUN
fuelectenerg-3307	55	44	-	-	NOUN
fuelectenerg-3307	55	45	mail	mail	NOUN
fuelectenerg-3307	55	46	:	:	PUNCT
fuelectenerg-3307	55	47	tom@zemris.fer.hr	tom@zemris.fer.hr	X
fuelectenerg-3307	55	48	)	)	PUNCT
fuelectenerg-3307	55	49	compact	compact	ADJ
fuelectenerg-3307	55	50	xor	xor	PROPN
fuelectenerg-3307	55	51	-	-	PUNCT
fuelectenerg-3307	55	52	bi	bi	NOUN
fuelectenerg-3307	55	53	-	-	NOUN
fuelectenerg-3307	55	54	decomposition	decomposition	NOUN
fuelectenerg-3307	55	55	for	for	ADP
fuelectenerg-3307	55	56	lattices	lattice	NOUN
fuelectenerg-3307	55	57	of	of	ADP
fuelectenerg-3307	55	58	boolean	boolean	ADJ
fuelectenerg-3307	55	59	functions	function	NOUN
fuelectenerg-3307	55	60	*	*	PUNCT
fuelectenerg-3307	55	61	1freiberg	1freiberg	NUM
fuelectenerg-3307	55	62	university	university	NOUN
fuelectenerg-3307	55	63	of	of	ADP
fuelectenerg-3307	55	64	mining	mining	NOUN
fuelectenerg-3307	55	65	and	and	CCONJ
fuelectenerg-3307	55	66	technology	technology	NOUN
fuelectenerg-3307	55	67	,	,	PUNCT
fuelectenerg-3307	55	68	institute	institute	NOUN
fuelectenerg-3307	55	69	of	of	ADP
fuelectenerg-3307	55	70	computer	computer	NOUN
fuelectenerg-3307	55	71	science	science	NOUN
fuelectenerg-3307	55	72	,	,	PUNCT
fuelectenerg-3307	55	73	freiberg	freiberg	PROPN
fuelectenerg-3307	55	74	,	,	PUNCT
fuelectenerg-3307	55	75	germany	germany	PROPN
fuelectenerg-3307	55	76	2the	2the	PROPN
fuelectenerg-3307	55	77	university	university	NOUN
fuelectenerg-3307	55	78	of	of	ADP
fuelectenerg-3307	55	79	the	the	DET
fuelectenerg-3307	55	80	west	west	PROPN
fuelectenerg-3307	55	81	indies	indies	PROPN
fuelectenerg-3307	55	82	,	,	PUNCT
fuelectenerg-3307	55	83	department	department	NOUN
fuelectenerg-3307	55	84	of	of	ADP
fuelectenerg-3307	55	85	computing	computing	NOUN
fuelectenerg-3307	55	86	and	and	CCONJ
fuelectenerg-3307	55	87	information	information	NOUN
fuelectenerg-3307	55	88	technology	technology	NOUN
fuelectenerg-3307	55	89	,	,	PUNCT
fuelectenerg-3307	55	90	saint	saint	PROPN
fuelectenerg-3307	55	91	augustine	augustine	PROPN
fuelectenerg-3307	55	92	,	,	PUNCT
fuelectenerg-3307	55	93	trinidad	trinidad	PROPN
fuelectenerg-3307	55	94	and	and	CCONJ
fuelectenerg-3307	55	95	tobago	tobago	PROPN
fuelectenerg-3307	55	96	abstract	abstract	NOUN
fuelectenerg-3307	55	97	.	.	PUNCT
fuelectenerg-3307	56	1	bi	bi	ADJ
fuelectenerg-3307	56	2	-	-	NOUN
fuelectenerg-3307	56	3	decomposition	decomposition	NOUN
fuelectenerg-3307	56	4	is	be	AUX
fuelectenerg-3307	56	5	a	a	DET
fuelectenerg-3307	56	6	powerful	powerful	ADJ
fuelectenerg-3307	56	7	approach	approach	NOUN
fuelectenerg-3307	56	8	for	for	ADP
fuelectenerg-3307	56	9	the	the	DET
fuelectenerg-3307	56	10	synthesis	synthesis	NOUN
fuelectenerg-3307	56	11	of	of	ADP
fuelectenerg-3307	56	12	multi	multi	ADJ
fuelectenerg-3307	56	13	-	-	ADJ
fuelectenerg-3307	56	14	level	level	ADJ
fuelectenerg-3307	56	15	combinational	combinational	ADJ
fuelectenerg-3307	56	16	circuits	circuit	NOUN
fuelectenerg-3307	56	17	because	because	SCONJ
fuelectenerg-3307	56	18	it	it	PRON
fuelectenerg-3307	56	19	utilizes	utilize	VERB
fuelectenerg-3307	56	20	the	the	DET
fuelectenerg-3307	56	21	properties	property	NOUN
fuelectenerg-3307	56	22	of	of	ADP
fuelectenerg-3307	56	23	the	the	DET
fuelectenerg-3307	56	24	given	give	VERB
fuelectenerg-3307	56	25	functions	function	NOUN
fuelectenerg-3307	56	26	to	to	PART
fuelectenerg-3307	56	27	find	find	VERB
fuelectenerg-3307	56	28	small	small	ADJ
fuelectenerg-3307	56	29	circuits	circuit	NOUN
fuelectenerg-3307	56	30	,	,	PUNCT
fuelectenerg-3307	56	31	with	with	ADP
fuelectenerg-3307	56	32	low	low	ADJ
fuelectenerg-3307	56	33	power	power	NOUN
fuelectenerg-3307	56	34	consumption	consumption	NOUN
fuelectenerg-3307	56	35	and	and	CCONJ
fuelectenerg-3307	56	36	low	low	ADJ
fuelectenerg-3307	56	37	delay	delay	NOUN
fuelectenerg-3307	56	38	.	.	PUNCT
fuelectenerg-3307	57	1	compact	compact	ADJ
fuelectenerg-3307	57	2	bi	bi	NOUN
fuelectenerg-3307	57	3	-	-	NOUN
fuelectenerg-3307	57	4	decompositions	decomposition	NOUN
fuelectenerg-3307	57	5	restrict	restrict	VERB
fuelectenerg-3307	57	6	the	the	DET
fuelectenerg-3307	57	7	variables	variable	NOUN
fuelectenerg-3307	57	8	in	in	ADP
fuelectenerg-3307	57	9	the	the	DET
fuelectenerg-3307	57	10	support	support	NOUN
fuelectenerg-3307	57	11	of	of	ADP
fuelectenerg-3307	57	12	the	the	DET
fuelectenerg-3307	57	13	decomposition	decomposition	NOUN
fuelectenerg-3307	57	14	functions	function	NOUN
fuelectenerg-3307	57	15	as	as	ADV
fuelectenerg-3307	57	16	much	much	ADV
fuelectenerg-3307	57	17	as	as	ADP
fuelectenerg-3307	57	18	possible	possible	ADJ
fuelectenerg-3307	57	19	.	.	PUNCT
fuelectenerg-3307	58	1	methods	method	NOUN
fuelectenerg-3307	58	2	to	to	PART
fuelectenerg-3307	58	3	find	find	VERB
fuelectenerg-3307	58	4	compact	compact	ADJ
fuelectenerg-3307	58	5	and-	and-	NOUN
fuelectenerg-3307	58	6	,	,	PUNCT
fuelectenerg-3307	58	7	or-	or-	X
fuelectenerg-3307	58	8	,	,	PUNCT
fuelectenerg-3307	58	9	or	or	CCONJ
fuelectenerg-3307	58	10	xor	xor	PROPN
fuelectenerg-3307	58	11	-	-	PUNCT
fuelectenerg-3307	58	12	bi	bi	NOUN
fuelectenerg-3307	58	13	-	-	NOUN
fuelectenerg-3307	58	14	decompositions	decomposition	NOUN
fuelectenerg-3307	58	15	for	for	ADP
fuelectenerg-3307	58	16	a	a	DET
fuelectenerg-3307	58	17	given	give	VERB
fuelectenerg-3307	58	18	completely	completely	ADV
fuelectenerg-3307	58	19	specified	specify	VERB
fuelectenerg-3307	58	20	function	function	NOUN
fuelectenerg-3307	58	21	are	be	AUX
fuelectenerg-3307	58	22	well	well	ADV
fuelectenerg-3307	58	23	known	know	VERB
fuelectenerg-3307	58	24	.	.	PUNCT
fuelectenerg-3307	59	1	a	a	DET
fuelectenerg-3307	59	2	lattice	lattice	NOUN
fuelectenerg-3307	59	3	of	of	ADP
fuelectenerg-3307	59	4	boolean	boolean	ADJ
fuelectenerg-3307	59	5	functions	function	NOUN
fuelectenerg-3307	59	6	represents	represent	VERB
fuelectenerg-3307	59	7	all	all	DET
fuelectenerg-3307	59	8	possible	possible	ADJ
fuelectenerg-3307	59	9	functions	function	NOUN
fuelectenerg-3307	59	10	which	which	PRON
fuelectenerg-3307	59	11	are	be	AUX
fuelectenerg-3307	59	12	defined	define	VERB
fuelectenerg-3307	59	13	by	by	ADP
fuelectenerg-3307	59	14	an	an	DET
fuelectenerg-3307	59	15	incompletely	incompletely	ADV
fuelectenerg-3307	59	16	specified	specify	VERB
fuelectenerg-3307	59	17	function	function	NOUN
fuelectenerg-3307	59	18	.	.	PUNCT
fuelectenerg-3307	60	1	lattices	lattice	NOUN
fuelectenerg-3307	60	2	of	of	ADP
fuelectenerg-3307	60	3	boolean	boolean	ADJ
fuelectenerg-3307	60	4	functions	function	NOUN
fuelectenerg-3307	60	5	significantly	significantly	ADV
fuelectenerg-3307	60	6	increase	increase	VERB
fuelectenerg-3307	60	7	the	the	DET
fuelectenerg-3307	60	8	possibilities	possibility	NOUN
fuelectenerg-3307	60	9	to	to	PART
fuelectenerg-3307	60	10	synthesize	synthesize	VERB
fuelectenerg-3307	60	11	a	a	DET
fuelectenerg-3307	60	12	minimal	minimal	ADJ
fuelectenerg-3307	60	13	circuit	circuit	NOUN
fuelectenerg-3307	60	14	.	.	PUNCT
fuelectenerg-3307	61	1	however	however	ADV
fuelectenerg-3307	61	2	,	,	PUNCT
fuelectenerg-3307	61	3	so	so	ADV
fuelectenerg-3307	61	4	far	far	ADV
fuelectenerg-3307	61	5	only	only	ADJ
fuelectenerg-3307	61	6	methods	method	NOUN
fuelectenerg-3307	61	7	to	to	PART
fuelectenerg-3307	61	8	find	find	VERB
fuelectenerg-3307	61	9	compact	compact	ADJ
fuelectenerg-3307	61	10	andor	andor	NOUN
fuelectenerg-3307	61	11	or	or	CCONJ
fuelectenerg-3307	61	12	-	-	PUNCT
fuelectenerg-3307	61	13	bi	bi	NOUN
fuelectenerg-3307	61	14	-	-	NOUN
fuelectenerg-3307	61	15	decompositions	decomposition	NOUN
fuelectenerg-3307	61	16	for	for	ADP
fuelectenerg-3307	61	17	lattices	lattice	NOUN
fuelectenerg-3307	61	18	of	of	ADP
fuelectenerg-3307	61	19	boolean	boolean	ADJ
fuelectenerg-3307	61	20	functions	function	NOUN
fuelectenerg-3307	61	21	are	be	AUX
fuelectenerg-3307	61	22	known	know	VERB
fuelectenerg-3307	61	23	.	.	PUNCT
fuelectenerg-3307	62	1	this	this	DET
fuelectenerg-3307	62	2	gap	gap	NOUN
fuelectenerg-3307	62	3	,	,	PUNCT
fuelectenerg-3307	62	4	i.e.	i.e.	X
fuelectenerg-3307	62	5	,	,	PUNCT
fuelectenerg-3307	62	6	a	a	DET
fuelectenerg-3307	62	7	method	method	NOUN
fuelectenerg-3307	62	8	to	to	PART
fuelectenerg-3307	62	9	find	find	VERB
fuelectenerg-3307	62	10	a	a	DET
fuelectenerg-3307	62	11	compact	compact	ADJ
fuelectenerg-3307	62	12	xor	xor	PROPN
fuelectenerg-3307	62	13	-	-	PUNCT
fuelectenerg-3307	62	14	bi	bi	NOUN
fuelectenerg-3307	62	15	-	-	NOUN
fuelectenerg-3307	62	16	decomposition	decomposition	NOUN
fuelectenerg-3307	62	17	for	for	ADP
fuelectenerg-3307	62	18	a	a	DET
fuelectenerg-3307	62	19	lattice	lattice	NOUN
fuelectenerg-3307	62	20	of	of	ADP
fuelectenerg-3307	62	21	boolean	boolean	ADJ
fuelectenerg-3307	62	22	functions	function	NOUN
fuelectenerg-3307	62	23	,	,	PUNCT
fuelectenerg-3307	62	24	has	have	AUX
fuelectenerg-3307	62	25	been	be	AUX
fuelectenerg-3307	62	26	closed	close	VERB
fuelectenerg-3307	62	27	by	by	ADP
fuelectenerg-3307	62	28	the	the	DET
fuelectenerg-3307	62	29	approach	approach	NOUN
fuelectenerg-3307	62	30	suggested	suggest	VERB
fuelectenerg-3307	62	31	in	in	ADP
fuelectenerg-3307	62	32	this	this	DET
fuelectenerg-3307	62	33	paper	paper	NOUN
fuelectenerg-3307	62	34	.	.	PUNCT
fuelectenerg-3307	63	1	key	key	ADJ
fuelectenerg-3307	63	2	words	word	NOUN
fuelectenerg-3307	63	3	:	:	PUNCT
fuelectenerg-3307	63	4	synthesis	synthesis	NOUN
fuelectenerg-3307	63	5	,	,	PUNCT
fuelectenerg-3307	63	6	combinational	combinational	ADJ
fuelectenerg-3307	63	7	circuit	circuit	NOUN
fuelectenerg-3307	63	8	,	,	PUNCT
fuelectenerg-3307	63	9	lattice	lattice	NOUN
fuelectenerg-3307	63	10	of	of	ADP
fuelectenerg-3307	63	11	boolean	boolean	ADJ
fuelectenerg-3307	63	12	functions	function	NOUN
fuelectenerg-3307	63	13	,	,	PUNCT
fuelectenerg-3307	63	14	xor	xor	PROPN
fuelectenerg-3307	63	15	-	-	PUNCT
fuelectenerg-3307	63	16	bidecomposition	bidecomposition	NOUN
fuelectenerg-3307	63	17	,	,	PUNCT
fuelectenerg-3307	63	18	boolean	boolean	ADJ
fuelectenerg-3307	63	19	differential	differential	NOUN
fuelectenerg-3307	63	20	calculus	calculus	NOUN
fuelectenerg-3307	63	21	,	,	PUNCT
fuelectenerg-3307	63	22	derivative	derivative	ADJ
fuelectenerg-3307	63	23	operations	operation	NOUN
fuelectenerg-3307	63	24	.	.	PUNCT
fuelectenerg-3307	64	1	2	2	NUM
fuelectenerg-3307	64	2	b.	b.	PROPN
fuelectenerg-3307	64	3	steinbach	steinbach	PROPN
fuelectenerg-3307	64	4	and	and	CCONJ
fuelectenerg-3307	64	5	c.	c.	PROPN
fuelectenerg-3307	64	6	posthoff	posthoff	PROPN
fuelectenerg-3307	64	7	:	:	PUNCT
fuelectenerg-3307	64	8	proach	proach	DET
fuelectenerg-3307	64	9	that	that	PRON
fuelectenerg-3307	64	10	decomposes	decompose	VERB
fuelectenerg-3307	64	11	a	a	DET
fuelectenerg-3307	64	12	given	give	VERB
fuelectenerg-3307	64	13	boolean	boolean	ADJ
fuelectenerg-3307	64	14	function	function	NOUN
fuelectenerg-3307	64	15	into	into	ADP
fuelectenerg-3307	64	16	two	two	NUM
fuelectenerg-3307	64	17	simpler	simple	ADJ
fuelectenerg-3307	64	18	decomposition	decomposition	NOUN
fuelectenerg-3307	64	19	functions	function	NOUN
fuelectenerg-3307	64	20	which	which	PRON
fuelectenerg-3307	64	21	are	be	AUX
fuelectenerg-3307	64	22	combined	combine	VERB
fuelectenerg-3307	64	23	by	by	ADP
fuelectenerg-3307	64	24	an	an	DET
fuelectenerg-3307	64	25	and-	and-	NOUN
fuelectenerg-3307	64	26	,	,	PUNCT
fuelectenerg-3307	64	27	an	an	DET
fuelectenerg-3307	64	28	or-	or-	X
fuelectenerg-3307	64	29	,	,	PUNCT
fuelectenerg-3307	64	30	or	or	CCONJ
fuelectenerg-3307	64	31	an	an	DET
fuelectenerg-3307	64	32	xor	xor	PROPN
fuelectenerg-3307	64	33	-	-	PUNCT
fuelectenerg-3307	64	34	gate	gate	NOUN
fuelectenerg-3307	64	35	.	.	PUNCT
fuelectenerg-3307	65	1	for	for	ADP
fuelectenerg-3307	65	2	the	the	DET
fuelectenerg-3307	65	3	aim	aim	NOUN
fuelectenerg-3307	65	4	of	of	ADP
fuelectenerg-3307	65	5	simplification	simplification	NOUN
fuelectenerg-3307	65	6	,	,	PUNCT
fuelectenerg-3307	65	7	the	the	PRON
fuelectenerg-3307	65	8	bi	bi	ADJ
fuelectenerg-3307	65	9	-	-	ADJ
fuelectenerg-3307	65	10	decomposition	decomposition	NOUN
fuelectenerg-3307	65	11	utilizes	utilize	VERB
fuelectenerg-3307	65	12	the	the	DET
fuelectenerg-3307	65	13	properties	property	NOUN
fuelectenerg-3307	65	14	of	of	ADP
fuelectenerg-3307	65	15	the	the	DET
fuelectenerg-3307	65	16	given	give	VERB
fuelectenerg-3307	65	17	boolean	boolean	ADJ
fuelectenerg-3307	65	18	function	function	NOUN
fuelectenerg-3307	65	19	to	to	PART
fuelectenerg-3307	65	20	design	design	VERB
fuelectenerg-3307	65	21	circuit	circuit	NOUN
fuelectenerg-3307	65	22	structures	structure	NOUN
fuelectenerg-3307	65	23	of	of	ADP
fuelectenerg-3307	65	24	a	a	DET
fuelectenerg-3307	65	25	small	small	ADJ
fuelectenerg-3307	65	26	area	area	NOUN
fuelectenerg-3307	65	27	,	,	PUNCT
fuelectenerg-3307	65	28	low	low	ADJ
fuelectenerg-3307	65	29	power	power	NOUN
fuelectenerg-3307	65	30	consumption	consumption	NOUN
fuelectenerg-3307	65	31	,	,	PUNCT
fuelectenerg-3307	65	32	and	and	CCONJ
fuelectenerg-3307	65	33	low	low	ADJ
fuelectenerg-3307	65	34	delay	delay	NOUN
fuelectenerg-3307	65	35	[	[	X
fuelectenerg-3307	65	36	1	1	NUM
fuelectenerg-3307	65	37	]	]	PUNCT
fuelectenerg-3307	65	38	.	.	PUNCT
fuelectenerg-3307	66	1	there	there	PRON
fuelectenerg-3307	66	2	are	be	VERB
fuelectenerg-3307	66	3	several	several	ADJ
fuelectenerg-3307	66	4	types	type	NOUN
fuelectenerg-3307	66	5	of	of	ADP
fuelectenerg-3307	66	6	bi	bi	NOUN
fuelectenerg-3307	66	7	-	-	NOUN
fuelectenerg-3307	66	8	decompositions	decomposition	NOUN
fuelectenerg-3307	66	9	.	.	PUNCT
fuelectenerg-3307	67	1	both	both	DET
fuelectenerg-3307	67	2	decomposition	decomposition	NOUN
fuelectenerg-3307	67	3	functions	function	NOUN
fuelectenerg-3307	67	4	of	of	ADP
fuelectenerg-3307	67	5	each	each	DET
fuelectenerg-3307	67	6	strong	strong	ADJ
fuelectenerg-3307	67	7	bi	bi	NOUN
fuelectenerg-3307	67	8	-	-	NOUN
fuelectenerg-3307	67	9	decomposition	decomposition	NOUN
fuelectenerg-3307	67	10	are	be	AUX
fuelectenerg-3307	67	11	simpler	simple	ADJ
fuelectenerg-3307	67	12	than	than	ADP
fuelectenerg-3307	67	13	the	the	DET
fuelectenerg-3307	67	14	given	give	VERB
fuelectenerg-3307	67	15	function	function	NOUN
fuelectenerg-3307	67	16	because	because	SCONJ
fuelectenerg-3307	67	17	they	they	PRON
fuelectenerg-3307	67	18	depend	depend	VERB
fuelectenerg-3307	67	19	on	on	ADP
fuelectenerg-3307	67	20	fewer	few	ADJ
fuelectenerg-3307	67	21	variables	variable	NOUN
fuelectenerg-3307	67	22	.	.	PUNCT
fuelectenerg-3307	68	1	unfortunately	unfortunately	ADV
fuelectenerg-3307	68	2	,	,	PUNCT
fuelectenerg-3307	68	3	there	there	PRON
fuelectenerg-3307	68	4	are	be	VERB
fuelectenerg-3307	68	5	functions	function	NOUN
fuelectenerg-3307	68	6	for	for	ADP
fuelectenerg-3307	68	7	which	which	PRON
fuelectenerg-3307	68	8	no	no	DET
fuelectenerg-3307	68	9	strong	strong	ADJ
fuelectenerg-3307	68	10	bi	bi	ADJ
fuelectenerg-3307	68	11	-	-	ADJ
fuelectenerg-3307	68	12	decomposition	decomposition	NOUN
fuelectenerg-3307	68	13	exists	exist	VERB
fuelectenerg-3307	68	14	.	.	PUNCT
fuelectenerg-3307	68	15	le	le	X
fuelectenerg-3307	69	1	[	[	X
fuelectenerg-3307	69	2	2	2	NUM
fuelectenerg-3307	69	3	]	]	PUNCT
fuelectenerg-3307	69	4	bridged	bridge	VERB
fuelectenerg-3307	69	5	this	this	DET
fuelectenerg-3307	69	6	gap	gap	NOUN
fuelectenerg-3307	69	7	by	by	ADP
fuelectenerg-3307	69	8	means	mean	NOUN
fuelectenerg-3307	69	9	of	of	ADP
fuelectenerg-3307	69	10	the	the	DET
fuelectenerg-3307	69	11	weak	weak	ADJ
fuelectenerg-3307	69	12	bi	bi	NOUN
fuelectenerg-3307	69	13	-	-	NOUN
fuelectenerg-3307	69	14	decomposition	decomposition	NOUN
fuelectenerg-3307	69	15	.	.	PUNCT
fuelectenerg-3307	70	1	he	he	PRON
fuelectenerg-3307	70	2	found	find	VERB
fuelectenerg-3307	70	3	that	that	SCONJ
fuelectenerg-3307	70	4	each	each	DET
fuelectenerg-3307	70	5	function	function	NOUN
fuelectenerg-3307	70	6	,	,	PUNCT
fuelectenerg-3307	70	7	for	for	ADP
fuelectenerg-3307	70	8	which	which	PRON
fuelectenerg-3307	70	9	neither	neither	CCONJ
fuelectenerg-3307	70	10	a	a	DET
fuelectenerg-3307	70	11	weak	weak	ADJ
fuelectenerg-3307	70	12	or	or	CCONJ
fuelectenerg-3307	70	13	bi	bi	NOUN
fuelectenerg-3307	70	14	-	-	NOUN
fuelectenerg-3307	70	15	decomposition	decomposition	NOUN
fuelectenerg-3307	70	16	nor	nor	CCONJ
fuelectenerg-3307	70	17	a	a	DET
fuelectenerg-3307	70	18	weak	weak	ADJ
fuelectenerg-3307	70	19	and	and	CCONJ
fuelectenerg-3307	70	20	bi	bi	NOUN
fuelectenerg-3307	70	21	-	-	ADJ
fuelectenerg-3307	70	22	decomposition	decomposition	NOUN
fuelectenerg-3307	70	23	exists	exist	VERB
fuelectenerg-3307	70	24	,	,	PUNCT
fuelectenerg-3307	70	25	can	can	AUX
fuelectenerg-3307	70	26	be	be	AUX
fuelectenerg-3307	70	27	simplified	simplify	VERB
fuelectenerg-3307	70	28	by	by	ADP
fuelectenerg-3307	70	29	a	a	DET
fuelectenerg-3307	70	30	strong	strong	ADJ
fuelectenerg-3307	70	31	xor	xor	PROPN
fuelectenerg-3307	70	32	bi	bi	NOUN
fuelectenerg-3307	70	33	-	-	NOUN
fuelectenerg-3307	70	34	decomposition	decomposition	NOUN
fuelectenerg-3307	70	35	.	.	PUNCT
fuelectenerg-3307	71	1	a	a	DET
fuelectenerg-3307	71	2	simplified	simplified	ADJ
fuelectenerg-3307	71	3	proof	proof	NOUN
fuelectenerg-3307	71	4	of	of	ADP
fuelectenerg-3307	71	5	the	the	DET
fuelectenerg-3307	71	6	completeness	completeness	NOUN
fuelectenerg-3307	71	7	of	of	ADP
fuelectenerg-3307	71	8	the	the	DET
fuelectenerg-3307	71	9	strong	strong	ADJ
fuelectenerg-3307	71	10	and	and	CCONJ
fuelectenerg-3307	71	11	weak	weak	ADJ
fuelectenerg-3307	71	12	bi	bi	NOUN
fuelectenerg-3307	71	13	-	-	NOUN
fuelectenerg-3307	71	14	decomposition	decomposition	NOUN
fuelectenerg-3307	71	15	is	be	AUX
fuelectenerg-3307	71	16	given	give	VERB
fuelectenerg-3307	71	17	in	in	ADP
fuelectenerg-3307	71	18	[	[	X
fuelectenerg-3307	71	19	3	3	NUM
fuelectenerg-3307	71	20	,	,	PUNCT
fuelectenerg-3307	71	21	4	4	NUM
fuelectenerg-3307	71	22	]	]	PUNCT
fuelectenerg-3307	71	23	.	.	PUNCT
fuelectenerg-3307	72	1	an	an	DET
fuelectenerg-3307	72	2	implementation	implementation	NOUN
fuelectenerg-3307	72	3	that	that	PRON
fuelectenerg-3307	72	4	reuses	reuse	VERB
fuelectenerg-3307	72	5	already	already	ADV
fuelectenerg-3307	72	6	decomposed	decompose	VERB
fuelectenerg-3307	72	7	blocks	block	NOUN
fuelectenerg-3307	72	8	outperforms	outperform	VERB
fuelectenerg-3307	72	9	other	other	ADJ
fuelectenerg-3307	72	10	synthesis	synthesis	NOUN
fuelectenerg-3307	72	11	approaches	approach	NOUN
fuelectenerg-3307	72	12	[	[	X
fuelectenerg-3307	72	13	5	5	NUM
fuelectenerg-3307	72	14	]	]	PUNCT
fuelectenerg-3307	72	15	.	.	PUNCT
fuelectenerg-3307	73	1	a	a	DET
fuelectenerg-3307	73	2	drawback	drawback	NOUN
fuelectenerg-3307	73	3	of	of	ADP
fuelectenerg-3307	73	4	the	the	DET
fuelectenerg-3307	73	5	weak	weak	ADJ
fuelectenerg-3307	73	6	bi	bi	NOUN
fuelectenerg-3307	73	7	-	-	NOUN
fuelectenerg-3307	73	8	decomposition	decomposition	NOUN
fuelectenerg-3307	73	9	is	be	AUX
fuelectenerg-3307	73	10	that	that	SCONJ
fuelectenerg-3307	73	11	the	the	DET
fuelectenerg-3307	73	12	synthesized	synthesize	VERB
fuelectenerg-3307	73	13	circuits	circuit	NOUN
fuelectenerg-3307	73	14	can	can	AUX
fuelectenerg-3307	73	15	have	have	VERB
fuelectenerg-3307	73	16	a	a	DET
fuelectenerg-3307	73	17	large	large	ADJ
fuelectenerg-3307	73	18	difference	difference	NOUN
fuelectenerg-3307	73	19	between	between	ADP
fuelectenerg-3307	73	20	the	the	DET
fuelectenerg-3307	73	21	shortest	short	ADJ
fuelectenerg-3307	73	22	and	and	CCONJ
fuelectenerg-3307	73	23	the	the	DET
fuelectenerg-3307	73	24	longest	long	ADJ
fuelectenerg-3307	73	25	path	path	NOUN
fuelectenerg-3307	73	26	(	(	PUNCT
fuelectenerg-3307	73	27	unbalanced	unbalanced	ADJ
fuelectenerg-3307	73	28	circuits	circuit	NOUN
fuelectenerg-3307	73	29	)	)	PUNCT
fuelectenerg-3307	73	30	.	.	PUNCT
fuelectenerg-3307	74	1	recently	recently	ADV
fuelectenerg-3307	74	2	,	,	PUNCT
fuelectenerg-3307	74	3	vectorial	vectorial	ADJ
fuelectenerg-3307	74	4	bi	bi	NOUN
fuelectenerg-3307	74	5	-	-	NOUN
fuelectenerg-3307	74	6	decompositions	decomposition	NOUN
fuelectenerg-3307	74	7	were	be	AUX
fuelectenerg-3307	74	8	suggested	suggest	VERB
fuelectenerg-3307	74	9	as	as	ADP
fuelectenerg-3307	74	10	supplement	supplement	NOUN
fuelectenerg-3307	74	11	to	to	ADP
fuelectenerg-3307	74	12	strong	strong	ADJ
fuelectenerg-3307	74	13	and	and	CCONJ
fuelectenerg-3307	74	14	weak	weak	ADJ
fuelectenerg-3307	74	15	bi	bi	NOUN
fuelectenerg-3307	74	16	-	-	NOUN
fuelectenerg-3307	74	17	decompositions	decomposition	NOUN
fuelectenerg-3307	74	18	[	[	X
fuelectenerg-3307	74	19	6	6	NUM
fuelectenerg-3307	74	20	,	,	PUNCT
fuelectenerg-3307	74	21	7	7	NUM
fuelectenerg-3307	74	22	]	]	PUNCT
fuelectenerg-3307	74	23	.	.	PUNCT
fuelectenerg-3307	75	1	the	the	DET
fuelectenerg-3307	75	2	decomposition	decomposition	NOUN
fuelectenerg-3307	75	3	functions	function	NOUN
fuelectenerg-3307	75	4	of	of	ADP
fuelectenerg-3307	75	5	these	these	DET
fuelectenerg-3307	75	6	bidecompositions	bidecomposition	NOUN
fuelectenerg-3307	75	7	are	be	AUX
fuelectenerg-3307	75	8	simpler	simple	ADJ
fuelectenerg-3307	75	9	than	than	ADP
fuelectenerg-3307	75	10	the	the	DET
fuelectenerg-3307	75	11	given	give	VERB
fuelectenerg-3307	75	12	function	function	NOUN
fuelectenerg-3307	75	13	because	because	SCONJ
fuelectenerg-3307	75	14	they	they	PRON
fuelectenerg-3307	75	15	are	be	AUX
fuelectenerg-3307	75	16	independent	independent	ADJ
fuelectenerg-3307	75	17	of	of	ADP
fuelectenerg-3307	75	18	the	the	DET
fuelectenerg-3307	75	19	simultaneous	simultaneous	ADJ
fuelectenerg-3307	75	20	change	change	NOUN
fuelectenerg-3307	75	21	of	of	ADP
fuelectenerg-3307	75	22	several	several	ADJ
fuelectenerg-3307	75	23	variables	variable	NOUN
fuelectenerg-3307	75	24	.	.	PUNCT
fuelectenerg-3307	76	1	vectorial	vectorial	ADJ
fuelectenerg-3307	76	2	bi	bi	NOUN
fuelectenerg-3307	76	3	-	-	NOUN
fuelectenerg-3307	76	4	decompositions	decomposition	NOUN
fuelectenerg-3307	76	5	can	can	AUX
fuelectenerg-3307	76	6	exist	exist	VERB
fuelectenerg-3307	76	7	for	for	ADP
fuelectenerg-3307	76	8	functions	function	NOUN
fuelectenerg-3307	76	9	without	without	ADP
fuelectenerg-3307	76	10	any	any	DET
fuelectenerg-3307	76	11	strong	strong	ADJ
fuelectenerg-3307	76	12	bi	bi	NOUN
fuelectenerg-3307	76	13	-	-	NOUN
fuelectenerg-3307	76	14	decomposition	decomposition	NOUN
fuelectenerg-3307	76	15	.	.	PUNCT
fuelectenerg-3307	77	1	benefits	benefit	NOUN
fuelectenerg-3307	77	2	of	of	ADP
fuelectenerg-3307	77	3	the	the	DET
fuelectenerg-3307	77	4	vectorial	vectorial	ADJ
fuelectenerg-3307	77	5	bi	bi	NOUN
fuelectenerg-3307	77	6	-	-	NOUN
fuelectenerg-3307	77	7	decomposition	decomposition	NOUN
fuelectenerg-3307	77	8	are	be	AUX
fuelectenerg-3307	77	9	their	their	PRON
fuelectenerg-3307	77	10	contribution	contribution	NOUN
fuelectenerg-3307	77	11	to	to	ADP
fuelectenerg-3307	77	12	balanced	balanced	ADJ
fuelectenerg-3307	77	13	circuits	circuit	NOUN
fuelectenerg-3307	77	14	and	and	CCONJ
fuelectenerg-3307	77	15	the	the	DET
fuelectenerg-3307	77	16	increased	increase	VERB
fuelectenerg-3307	77	17	number	number	NOUN
fuelectenerg-3307	77	18	of	of	ADP
fuelectenerg-3307	77	19	decomposition	decomposition	NOUN
fuelectenerg-3307	77	20	possibilities	possibility	NOUN
fuelectenerg-3307	77	21	in	in	ADP
fuelectenerg-3307	77	22	comparison	comparison	NOUN
fuelectenerg-3307	77	23	to	to	ADP
fuelectenerg-3307	77	24	the	the	DET
fuelectenerg-3307	77	25	strong	strong	ADJ
fuelectenerg-3307	77	26	bi	bi	NOUN
fuelectenerg-3307	77	27	-	-	NOUN
fuelectenerg-3307	77	28	decomposition	decomposition	NOUN
fuelectenerg-3307	77	29	.	.	PUNCT
fuelectenerg-3307	78	1	all	all	DET
fuelectenerg-3307	78	2	bi	bi	ADJ
fuelectenerg-3307	78	3	-	-	ADJ
fuelectenerg-3307	78	4	decomposition	decomposition	NOUN
fuelectenerg-3307	78	5	approaches	approach	NOUN
fuelectenerg-3307	78	6	mentioned	mention	VERB
fuelectenerg-3307	78	7	above	above	ADV
fuelectenerg-3307	78	8	utilize	utilize	VERB
fuelectenerg-3307	78	9	the	the	DET
fuelectenerg-3307	78	10	boolean	boolean	ADJ
fuelectenerg-3307	78	11	differential	differential	NOUN
fuelectenerg-3307	78	12	calculus	calculus	NOUN
fuelectenerg-3307	78	13	(	(	PUNCT
fuelectenerg-3307	78	14	bdc	bdc	PROPN
fuelectenerg-3307	78	15	)	)	PUNCT
fuelectenerg-3307	79	1	[	[	X
fuelectenerg-3307	79	2	3	3	NUM
fuelectenerg-3307	79	3	,	,	PUNCT
fuelectenerg-3307	79	4	4	4	NUM
fuelectenerg-3307	79	5	,	,	PUNCT
fuelectenerg-3307	79	6	8–12	8–12	NOUN
fuelectenerg-3307	79	7	]	]	PUNCT
fuelectenerg-3307	79	8	to	to	PART
fuelectenerg-3307	79	9	find	find	VERB
fuelectenerg-3307	79	10	optimal	optimal	ADJ
fuelectenerg-3307	79	11	bi	bi	NOUN
fuelectenerg-3307	79	12	-	-	NOUN
fuelectenerg-3307	79	13	decompositions	decomposition	NOUN
fuelectenerg-3307	79	14	.	.	PUNCT
fuelectenerg-3307	80	1	there	there	PRON
fuelectenerg-3307	80	2	are	be	VERB
fuelectenerg-3307	80	3	several	several	ADJ
fuelectenerg-3307	80	4	other	other	ADJ
fuelectenerg-3307	80	5	approaches	approach	NOUN
fuelectenerg-3307	80	6	of	of	ADP
fuelectenerg-3307	80	7	bi	bi	NOUN
fuelectenerg-3307	80	8	-	-	NOUN
fuelectenerg-3307	80	9	decompositions	decomposition	NOUN
fuelectenerg-3307	80	10	which	which	PRON
fuelectenerg-3307	80	11	demonstrate	demonstrate	VERB
fuelectenerg-3307	80	12	the	the	DET
fuelectenerg-3307	80	13	interest	interest	NOUN
fuelectenerg-3307	80	14	on	on	ADP
fuelectenerg-3307	80	15	this	this	DET
fuelectenerg-3307	80	16	useful	useful	ADJ
fuelectenerg-3307	80	17	synthesis	synthesis	NOUN
fuelectenerg-3307	80	18	method	method	NOUN
fuelectenerg-3307	80	19	;	;	PUNCT
fuelectenerg-3307	80	20	however	however	ADV
fuelectenerg-3307	80	21	,	,	PUNCT
fuelectenerg-3307	80	22	these	these	DET
fuelectenerg-3307	80	23	other	other	ADJ
fuelectenerg-3307	80	24	approaches	approach	NOUN
fuelectenerg-3307	80	25	are	be	AUX
fuelectenerg-3307	80	26	not	not	PART
fuelectenerg-3307	80	27	directly	directly	ADV
fuelectenerg-3307	80	28	helpful	helpful	ADJ
fuelectenerg-3307	80	29	to	to	PART
fuelectenerg-3307	80	30	solve	solve	VERB
fuelectenerg-3307	80	31	the	the	DET
fuelectenerg-3307	80	32	problem	problem	NOUN
fuelectenerg-3307	80	33	explored	explore	VERB
fuelectenerg-3307	80	34	in	in	ADP
fuelectenerg-3307	80	35	this	this	DET
fuelectenerg-3307	80	36	paper	paper	NOUN
fuelectenerg-3307	80	37	.	.	PUNCT
fuelectenerg-3307	81	1	in	in	ADP
fuelectenerg-3307	81	2	[	[	X
fuelectenerg-3307	81	3	13	13	NUM
fuelectenerg-3307	81	4	]	]	X
fuelectenerg-3307	81	5	a	a	DET
fuelectenerg-3307	81	6	method	method	NOUN
fuelectenerg-3307	81	7	for	for	ADP
fuelectenerg-3307	81	8	disjoint	disjoint	ADJ
fuelectenerg-3307	81	9	bi	bi	NOUN
fuelectenerg-3307	81	10	-	-	NOUN
fuelectenerg-3307	81	11	decompositions	decomposition	NOUN
fuelectenerg-3307	81	12	with	with	ADP
fuelectenerg-3307	81	13	an	an	DET
fuelectenerg-3307	81	14	extension	extension	NOUN
fuelectenerg-3307	81	15	to	to	ADP
fuelectenerg-3307	81	16	non	non	ADJ
fuelectenerg-3307	81	17	-	-	ADJ
fuelectenerg-3307	81	18	disjoint	disjoint	ADJ
fuelectenerg-3307	81	19	bi	bi	NOUN
fuelectenerg-3307	81	20	-	-	NOUN
fuelectenerg-3307	81	21	decompositions	decomposition	NOUN
fuelectenerg-3307	81	22	for	for	ADP
fuelectenerg-3307	81	23	a	a	DET
fuelectenerg-3307	81	24	single	single	ADJ
fuelectenerg-3307	81	25	common	common	ADJ
fuelectenerg-3307	81	26	variable	variable	NOUN
fuelectenerg-3307	81	27	are	be	AUX
fuelectenerg-3307	81	28	suggested	suggest	VERB
fuelectenerg-3307	81	29	.	.	PUNCT
fuelectenerg-3307	82	1	a	a	DET
fuelectenerg-3307	82	2	graph	graph	NOUN
fuelectenerg-3307	82	3	-	-	PUNCT
fuelectenerg-3307	82	4	based	base	VERB
fuelectenerg-3307	82	5	approach	approach	NOUN
fuelectenerg-3307	82	6	for	for	ADP
fuelectenerg-3307	82	7	bi	bi	NOUN
fuelectenerg-3307	82	8	-	-	NOUN
fuelectenerg-3307	82	9	decompositions	decomposition	NOUN
fuelectenerg-3307	82	10	was	be	AUX
fuelectenerg-3307	82	11	suggested	suggest	VERB
fuelectenerg-3307	82	12	in	in	ADP
fuelectenerg-3307	82	13	[	[	X
fuelectenerg-3307	82	14	14	14	NUM
fuelectenerg-3307	82	15	]	]	PUNCT
fuelectenerg-3307	82	16	.	.	PUNCT
fuelectenerg-3307	83	1	unfortunately	unfortunately	ADV
fuelectenerg-3307	83	2	,	,	PUNCT
fuelectenerg-3307	83	3	the	the	DET
fuelectenerg-3307	83	4	used	use	VERB
fuelectenerg-3307	83	5	benchmarks	benchmark	NOUN
fuelectenerg-3307	83	6	in	in	ADP
fuelectenerg-3307	83	7	[	[	X
fuelectenerg-3307	83	8	5	5	NUM
fuelectenerg-3307	83	9	]	]	PUNCT
fuelectenerg-3307	83	10	and	and	CCONJ
fuelectenerg-3307	83	11	[	[	X
fuelectenerg-3307	83	12	14	14	NUM
fuelectenerg-3307	83	13	]	]	PUNCT
fuelectenerg-3307	83	14	overlap	overlap	NOUN
fuelectenerg-3307	83	15	only	only	ADV
fuelectenerg-3307	83	16	partially	partially	ADV
fuelectenerg-3307	83	17	.	.	PUNCT
fuelectenerg-3307	84	1	one	one	NUM
fuelectenerg-3307	84	2	common	common	ADJ
fuelectenerg-3307	84	3	benchmark	benchmark	NOUN
fuelectenerg-3307	84	4	is	be	AUX
fuelectenerg-3307	84	5	t481	t481	PROPN
fuelectenerg-3307	84	6	where	where	SCONJ
fuelectenerg-3307	84	7	our	our	PRON
fuelectenerg-3307	84	8	approach	approach	NOUN
fuelectenerg-3307	84	9	from	from	ADP
fuelectenerg-3307	84	10	[	[	X
fuelectenerg-3307	84	11	5	5	NUM
fuelectenerg-3307	84	12	]	]	PUNCT
fuelectenerg-3307	84	13	outperforms	outperform	VERB
fuelectenerg-3307	84	14	the	the	DET
fuelectenerg-3307	84	15	graph	graph	NOUN
fuelectenerg-3307	84	16	-	-	PUNCT
fuelectenerg-3307	84	17	based	base	VERB
fuelectenerg-3307	84	18	approach	approach	NOUN
fuelectenerg-3307	84	19	from	from	ADP
fuelectenerg-3307	84	20	[	[	X
fuelectenerg-3307	84	21	14	14	NUM
fuelectenerg-3307	84	22	]	]	PUNCT
fuelectenerg-3307	84	23	in	in	ADP
fuelectenerg-3307	84	24	the	the	DET
fuelectenerg-3307	84	25	number	number	NOUN
fuelectenerg-3307	84	26	of	of	ADP
fuelectenerg-3307	84	27	gates	gate	NOUN
fuelectenerg-3307	84	28	(	(	PUNCT
fuelectenerg-3307	84	29	17/25	17/25	NUM
fuelectenerg-3307	84	30	)	)	PUNCT
fuelectenerg-3307	84	31	.	.	PUNCT
fuelectenerg-3307	85	1	recently	recently	ADV
fuelectenerg-3307	85	2	,	,	PUNCT
fuelectenerg-3307	85	3	semi	semi	ADJ
fuelectenerg-3307	85	4	-	-	ADJ
fuelectenerg-3307	85	5	tensor	tensor	ADJ
fuelectenerg-3307	85	6	products	product	NOUN
fuelectenerg-3307	85	7	of	of	ADP
fuelectenerg-3307	85	8	matrices	matrix	NOUN
fuelectenerg-3307	85	9	were	be	AUX
fuelectenerg-3307	85	10	suggested	suggest	VERB
fuelectenerg-3307	85	11	for	for	ADP
fuelectenerg-3307	85	12	bi	bi	NOUN
fuelectenerg-3307	85	13	-	-	NOUN
fuelectenerg-3307	85	14	decompositions	decomposition	NOUN
fuelectenerg-3307	85	15	of	of	ADP
fuelectenerg-3307	85	16	boolean	boolean	ADJ
fuelectenerg-3307	85	17	and	and	CCONJ
fuelectenerg-3307	85	18	multi	multi	ADJ
fuelectenerg-3307	85	19	-	-	ADJ
fuelectenerg-3307	85	20	valued	value	VERB
fuelectenerg-3307	85	21	functions	function	NOUN
fuelectenerg-3307	85	22	[	[	X
fuelectenerg-3307	85	23	15	15	NUM
fuelectenerg-3307	85	24	]	]	PUNCT
fuelectenerg-3307	85	25	.	.	PUNCT
fuelectenerg-3307	86	1	however	however	ADV
fuelectenerg-3307	86	2	,	,	PUNCT
fuelectenerg-3307	86	3	this	this	DET
fuelectenerg-3307	86	4	paper	paper	NOUN
fuelectenerg-3307	86	5	does	do	AUX
fuelectenerg-3307	86	6	not	not	PART
fuelectenerg-3307	86	7	contain	contain	VERB
fuelectenerg-3307	86	8	experimental	experimental	ADJ
fuelectenerg-3307	86	9	results	result	NOUN
fuelectenerg-3307	86	10	of	of	ADP
fuelectenerg-3307	86	11	benchmark	benchmark	NOUN
fuelectenerg-3307	86	12	circuits	circuit	NOUN
fuelectenerg-3307	86	13	.	.	PUNCT
fuelectenerg-3307	87	1	it	it	PRON
fuelectenerg-3307	87	2	is	be	AUX
fuelectenerg-3307	87	3	a	a	DET
fuelectenerg-3307	87	4	property	property	NOUN
fuelectenerg-3307	87	5	of	of	ADP
fuelectenerg-3307	87	6	the	the	DET
fuelectenerg-3307	87	7	given	give	VERB
fuelectenerg-3307	87	8	function	function	NOUN
fuelectenerg-3307	87	9	whether	whether	SCONJ
fuelectenerg-3307	87	10	it	it	PRON
fuelectenerg-3307	87	11	can	can	AUX
fuelectenerg-3307	87	12	be	be	AUX
fuelectenerg-3307	87	13	decomposed	decompose	VERB
fuelectenerg-3307	87	14	into	into	ADP
fuelectenerg-3307	87	15	two	two	NUM
fuelectenerg-3307	87	16	simpler	simple	ADJ
fuelectenerg-3307	87	17	decomposition	decomposition	NOUN
fuelectenerg-3307	87	18	functions	function	NOUN
fuelectenerg-3307	87	19	using	use	VERB
fuelectenerg-3307	87	20	a	a	DET
fuelectenerg-3307	87	21	certain	certain	ADJ
fuelectenerg-3307	87	22	type	type	NOUN
fuelectenerg-3307	87	23	of	of	ADP
fuelectenerg-3307	87	24	bi	bi	NOUN
fuelectenerg-3307	87	25	-	-	NOUN
fuelectenerg-3307	87	26	decomposition	decomposition	NOUN
fuelectenerg-3307	87	27	.	.	PUNCT
fuelectenerg-3307	88	1	the	the	DET
fuelectenerg-3307	88	2	possibility	possibility	NOUN
fuelectenerg-3307	88	3	to	to	PART
fuelectenerg-3307	88	4	find	find	VERB
fuelectenerg-3307	88	5	a	a	DET
fuelectenerg-3307	88	6	bi	bi	ADJ
fuelectenerg-3307	88	7	-	-	ADJ
fuelectenerg-3307	88	8	decomposition	decomposition	NOUN
fuelectenerg-3307	88	9	increases	increase	NOUN
fuelectenerg-3307	88	10	when	when	SCONJ
fuelectenerg-3307	88	11	the	the	DET
fuelectenerg-3307	88	12	function	function	NOUN
fuelectenerg-3307	88	13	to	to	PART
fuelectenerg-3307	88	14	decompose	decompose	VERB
fuelectenerg-3307	88	15	can	can	AUX
fuelectenerg-3307	88	16	be	be	AUX
fuelectenerg-3307	88	17	chosen	choose	VERB
fuelectenerg-3307	88	18	from	from	ADP
fuelectenerg-3307	88	19	a	a	DET
fuelectenerg-3307	88	20	lattice	lattice	NOUN
fuelectenerg-3307	88	21	of	of	ADP
fuelectenerg-3307	88	22	boolean	boolean	ADJ
fuelectenerg-3307	88	23	functions	function	NOUN
fuelectenerg-3307	88	24	.	.	PUNCT
fuelectenerg-3307	89	1	incompletely	incompletely	ADV
fuelectenerg-3307	89	2	specified	specify	VERB
fuelectenerg-3307	89	3	functions	function	NOUN
fuelectenerg-3307	89	4	compact	compact	ADJ
fuelectenerg-3307	89	5	xor	xor	PROPN
fuelectenerg-3307	89	6	-	-	PUNCT
fuelectenerg-3307	89	7	bi	bi	NOUN
fuelectenerg-3307	89	8	-	-	NOUN
fuelectenerg-3307	89	9	decomposition	decomposition	NOUN
fuelectenerg-3307	89	10	for	for	ADP
fuelectenerg-3307	89	11	lattices	lattice	NOUN
fuelectenerg-3307	89	12	of	of	ADP
fuelectenerg-3307	89	13	boolean	boolean	ADJ
fuelectenerg-3307	89	14	functions	function	NOUN
fuelectenerg-3307	89	15	3	3	NUM
fuelectenerg-3307	89	16	were	be	AUX
fuelectenerg-3307	89	17	traditionally	traditionally	ADV
fuelectenerg-3307	89	18	used	use	VERB
fuelectenerg-3307	89	19	as	as	ADP
fuelectenerg-3307	89	20	a	a	DET
fuelectenerg-3307	89	21	source	source	NOUN
fuelectenerg-3307	89	22	of	of	ADP
fuelectenerg-3307	89	23	a	a	DET
fuelectenerg-3307	89	24	lattice	lattice	NOUN
fuelectenerg-3307	89	25	of	of	ADP
fuelectenerg-3307	89	26	boolean	boolean	ADJ
fuelectenerg-3307	89	27	functions	function	NOUN
fuelectenerg-3307	89	28	.	.	PUNCT
fuelectenerg-3307	90	1	the	the	DET
fuelectenerg-3307	90	2	on	on	ADP
fuelectenerg-3307	90	3	-	-	PUNCT
fuelectenerg-3307	90	4	setfunction	setfunction	NOUN
fuelectenerg-3307	90	5	fq(x	fq(x	NOUN
fuelectenerg-3307	90	6	)	)	PUNCT
fuelectenerg-3307	90	7	and	and	CCONJ
fuelectenerg-3307	90	8	the	the	DET
fuelectenerg-3307	90	9	off	off	ADV
fuelectenerg-3307	90	10	-	-	PUNCT
fuelectenerg-3307	90	11	set	set	NOUN
fuelectenerg-3307	90	12	-	-	PUNCT
fuelectenerg-3307	90	13	function	function	NOUN
fuelectenerg-3307	90	14	fr(x	fr(x	X
fuelectenerg-3307	90	15	)	)	PUNCT
fuelectenerg-3307	90	16	are	be	AUX
fuelectenerg-3307	90	17	the	the	DET
fuelectenerg-3307	90	18	preferred	prefer	VERB
fuelectenerg-3307	90	19	mark	mark	NOUN
fuelectenerg-3307	90	20	functions	function	NOUN
fuelectenerg-3307	90	21	of	of	ADP
fuelectenerg-3307	90	22	these	these	DET
fuelectenerg-3307	90	23	lattices	lattice	NOUN
fuelectenerg-3307	90	24	.	.	PUNCT
fuelectenerg-3307	91	1	the	the	DET
fuelectenerg-3307	91	2	introduction	introduction	NOUN
fuelectenerg-3307	91	3	of	of	ADP
fuelectenerg-3307	91	4	derivative	derivative	ADJ
fuelectenerg-3307	91	5	operations	operation	NOUN
fuelectenerg-3307	91	6	for	for	ADP
fuelectenerg-3307	91	7	lattices	lattice	NOUN
fuelectenerg-3307	91	8	of	of	ADP
fuelectenerg-3307	91	9	boolean	boolean	ADJ
fuelectenerg-3307	91	10	functions	function	NOUN
fuelectenerg-3307	91	11	[	[	X
fuelectenerg-3307	91	12	4	4	NUM
fuelectenerg-3307	91	13	,	,	PUNCT
fuelectenerg-3307	91	14	16	16	NUM
fuelectenerg-3307	91	15	,	,	PUNCT
fuelectenerg-3307	91	16	17	17	NUM
fuelectenerg-3307	91	17	]	]	PUNCT
fuelectenerg-3307	91	18	facilitates	facilitate	VERB
fuelectenerg-3307	91	19	the	the	DET
fuelectenerg-3307	91	20	application	application	NOUN
fuelectenerg-3307	91	21	of	of	ADP
fuelectenerg-3307	91	22	lattices	lattice	NOUN
fuelectenerg-3307	91	23	in	in	ADP
fuelectenerg-3307	91	24	circuit	circuit	NOUN
fuelectenerg-3307	91	25	design	design	NOUN
fuelectenerg-3307	91	26	.	.	PUNCT
fuelectenerg-3307	92	1	a	a	DET
fuelectenerg-3307	92	2	strong	strong	ADJ
fuelectenerg-3307	92	3	bi	bi	NOUN
fuelectenerg-3307	92	4	-	-	NOUN
fuelectenerg-3307	92	5	decomposition	decomposition	NOUN
fuelectenerg-3307	92	6	divides	divide	VERB
fuelectenerg-3307	92	7	the	the	DET
fuelectenerg-3307	92	8	variables	variable	NOUN
fuelectenerg-3307	92	9	of	of	ADP
fuelectenerg-3307	92	10	the	the	DET
fuelectenerg-3307	92	11	function	function	NOUN
fuelectenerg-3307	92	12	to	to	PART
fuelectenerg-3307	92	13	decompose	decompose	VERB
fuelectenerg-3307	92	14	into	into	ADP
fuelectenerg-3307	92	15	three	three	NUM
fuelectenerg-3307	92	16	disjoint	disjoint	ADJ
fuelectenerg-3307	92	17	subsets	subset	NOUN
fuelectenerg-3307	92	18	.	.	PUNCT
fuelectenerg-3307	93	1	the	the	DET
fuelectenerg-3307	93	2	variables	variable	NOUN
fuelectenerg-3307	93	3	xa	xa	PROPN
fuelectenerg-3307	93	4	control	control	VERB
fuelectenerg-3307	93	5	only	only	ADV
fuelectenerg-3307	93	6	the	the	DET
fuelectenerg-3307	93	7	decomposition	decomposition	NOUN
fuelectenerg-3307	93	8	function	function	NOUN
fuelectenerg-3307	93	9	g	g	NOUN
fuelectenerg-3307	93	10	,	,	PUNCT
fuelectenerg-3307	93	11	the	the	DET
fuelectenerg-3307	93	12	variables	variable	NOUN
fuelectenerg-3307	93	13	xb	xb	PROPN
fuelectenerg-3307	93	14	control	control	PROPN
fuelectenerg-3307	93	15	only	only	ADV
fuelectenerg-3307	93	16	the	the	DET
fuelectenerg-3307	93	17	decomposition	decomposition	NOUN
fuelectenerg-3307	93	18	function	function	NOUN
fuelectenerg-3307	93	19	h	h	NOUN
fuelectenerg-3307	93	20	,	,	PUNCT
fuelectenerg-3307	93	21	and	and	CCONJ
fuelectenerg-3307	93	22	the	the	DET
fuelectenerg-3307	93	23	variables	variable	NOUN
fuelectenerg-3307	93	24	xc	xc	PROPN
fuelectenerg-3307	93	25	are	be	AUX
fuelectenerg-3307	93	26	commonly	commonly	ADV
fuelectenerg-3307	93	27	used	use	VERB
fuelectenerg-3307	93	28	for	for	ADP
fuelectenerg-3307	93	29	both	both	CCONJ
fuelectenerg-3307	93	30	the	the	DET
fuelectenerg-3307	93	31	decomposition	decomposition	NOUN
fuelectenerg-3307	93	32	functions	function	NOUN
fuelectenerg-3307	93	33	g	g	NOUN
fuelectenerg-3307	93	34	and	and	CCONJ
fuelectenerg-3307	93	35	h.	h.	PROPN
fuelectenerg-3307	93	36	the	the	DET
fuelectenerg-3307	93	37	more	more	ADJ
fuelectenerg-3307	93	38	variables	variable	NOUN
fuelectenerg-3307	93	39	in	in	ADP
fuelectenerg-3307	93	40	the	the	DET
fuelectenerg-3307	93	41	dedicated	dedicated	ADJ
fuelectenerg-3307	93	42	sets	set	NOUN
fuelectenerg-3307	93	43	of	of	ADP
fuelectenerg-3307	93	44	variables	variable	NOUN
fuelectenerg-3307	93	45	xa	xa	PROPN
fuelectenerg-3307	93	46	and	and	CCONJ
fuelectenerg-3307	93	47	xb	xb	X
fuelectenerg-3307	93	48	the	the	DET
fuelectenerg-3307	93	49	simpler	simple	ADJ
fuelectenerg-3307	93	50	are	be	AUX
fuelectenerg-3307	93	51	the	the	DET
fuelectenerg-3307	93	52	decomposition	decomposition	NOUN
fuelectenerg-3307	93	53	functions	function	NOUN
fuelectenerg-3307	93	54	g	g	NOUN
fuelectenerg-3307	93	55	and	and	CCONJ
fuelectenerg-3307	93	56	h.	h.	PROPN
fuelectenerg-3307	94	1	a	a	DET
fuelectenerg-3307	94	2	compact	compact	ADJ
fuelectenerg-3307	94	3	strong	strong	ADJ
fuelectenerg-3307	94	4	bi	bi	ADJ
fuelectenerg-3307	94	5	-	-	NOUN
fuelectenerg-3307	94	6	decomposition	decomposition	NOUN
fuelectenerg-3307	94	7	uses	use	VERB
fuelectenerg-3307	94	8	the	the	DET
fuelectenerg-3307	94	9	largest	large	ADJ
fuelectenerg-3307	94	10	possible	possible	ADJ
fuelectenerg-3307	94	11	sets	set	NOUN
fuelectenerg-3307	94	12	of	of	ADP
fuelectenerg-3307	94	13	xa	xa	PROPN
fuelectenerg-3307	94	14	and	and	CCONJ
fuelectenerg-3307	94	15	xb	xb	PROPN
fuelectenerg-3307	94	16	.	.	PUNCT
fuelectenerg-3307	95	1	there	there	PRON
fuelectenerg-3307	95	2	are	be	VERB
fuelectenerg-3307	95	3	formulas	formula	NOUN
fuelectenerg-3307	95	4	[	[	X
fuelectenerg-3307	95	5	3	3	NUM
fuelectenerg-3307	95	6	,	,	PUNCT
fuelectenerg-3307	95	7	4	4	NUM
fuelectenerg-3307	95	8	,	,	PUNCT
fuelectenerg-3307	95	9	10–12	10–12	NUM
fuelectenerg-3307	95	10	]	]	PUNCT
fuelectenerg-3307	95	11	containing	contain	VERB
fuelectenerg-3307	95	12	operations	operation	NOUN
fuelectenerg-3307	95	13	of	of	ADP
fuelectenerg-3307	95	14	the	the	DET
fuelectenerg-3307	95	15	boolean	boolean	ADJ
fuelectenerg-3307	95	16	differential	differential	NOUN
fuelectenerg-3307	95	17	calculus	calculus	NOUN
fuelectenerg-3307	95	18	that	that	PRON
fuelectenerg-3307	95	19	can	can	AUX
fuelectenerg-3307	95	20	be	be	AUX
fuelectenerg-3307	95	21	used	use	VERB
fuelectenerg-3307	95	22	to	to	PART
fuelectenerg-3307	95	23	decide	decide	VERB
fuelectenerg-3307	95	24	whether	whether	SCONJ
fuelectenerg-3307	95	25	a	a	DET
fuelectenerg-3307	95	26	lattice	lattice	NOUN
fuelectenerg-3307	95	27	of	of	ADP
fuelectenerg-3307	95	28	boolean	boolean	ADJ
fuelectenerg-3307	95	29	functions	function	NOUN
fuelectenerg-3307	95	30	contains	contain	VERB
fuelectenerg-3307	95	31	a	a	DET
fuelectenerg-3307	95	32	compact	compact	ADJ
fuelectenerg-3307	95	33	strong	strong	ADJ
fuelectenerg-3307	95	34	andor	andor	NOUN
fuelectenerg-3307	95	35	a	a	DET
fuelectenerg-3307	95	36	compact	compact	ADJ
fuelectenerg-3307	95	37	strong	strong	ADJ
fuelectenerg-3307	95	38	or	or	CCONJ
fuelectenerg-3307	95	39	-	-	PUNCT
fuelectenerg-3307	95	40	bi	bi	NOUN
fuelectenerg-3307	95	41	-	-	NOUN
fuelectenerg-3307	95	42	decomposition	decomposition	NOUN
fuelectenerg-3307	95	43	.	.	PUNCT
fuelectenerg-3307	96	1	unfortunately	unfortunately	ADV
fuelectenerg-3307	96	2	,	,	PUNCT
fuelectenerg-3307	96	3	so	so	ADV
fuelectenerg-3307	96	4	far	far	ADV
fuelectenerg-3307	96	5	it	it	PRON
fuelectenerg-3307	96	6	is	be	AUX
fuelectenerg-3307	96	7	only	only	ADV
fuelectenerg-3307	96	8	possible	possible	ADJ
fuelectenerg-3307	96	9	to	to	PART
fuelectenerg-3307	96	10	find	find	VERB
fuelectenerg-3307	96	11	a	a	DET
fuelectenerg-3307	96	12	compact	compact	ADJ
fuelectenerg-3307	96	13	strong	strong	ADJ
fuelectenerg-3307	96	14	xor	xor	PROPN
fuelectenerg-3307	96	15	-	-	PUNCT
fuelectenerg-3307	96	16	bi	bi	NOUN
fuelectenerg-3307	96	17	-	-	NOUN
fuelectenerg-3307	96	18	decomposition	decomposition	NOUN
fuelectenerg-3307	96	19	for	for	ADP
fuelectenerg-3307	96	20	a	a	DET
fuelectenerg-3307	96	21	single	single	ADJ
fuelectenerg-3307	96	22	decomposition	decomposition	NOUN
fuelectenerg-3307	96	23	function	function	NOUN
fuelectenerg-3307	96	24	or	or	CCONJ
fuelectenerg-3307	96	25	to	to	PART
fuelectenerg-3307	96	26	assign	assign	VERB
fuelectenerg-3307	96	27	only	only	ADV
fuelectenerg-3307	96	28	a	a	DET
fuelectenerg-3307	96	29	single	single	ADJ
fuelectenerg-3307	96	30	variable	variable	NOUN
fuelectenerg-3307	96	31	to	to	ADP
fuelectenerg-3307	96	32	the	the	DET
fuelectenerg-3307	96	33	set	set	NOUN
fuelectenerg-3307	96	34	xa	xa	PROPN
fuelectenerg-3307	96	35	for	for	ADP
fuelectenerg-3307	96	36	the	the	DET
fuelectenerg-3307	96	37	check	check	NOUN
fuelectenerg-3307	96	38	whether	whether	SCONJ
fuelectenerg-3307	96	39	a	a	DET
fuelectenerg-3307	96	40	lattice	lattice	NOUN
fuelectenerg-3307	96	41	of	of	ADP
fuelectenerg-3307	96	42	boolean	boolean	ADJ
fuelectenerg-3307	96	43	functions	function	NOUN
fuelectenerg-3307	96	44	contains	contain	VERB
fuelectenerg-3307	96	45	a	a	DET
fuelectenerg-3307	96	46	strong	strong	ADJ
fuelectenerg-3307	96	47	xorbi	xorbi	NOUN
fuelectenerg-3307	96	48	-	-	PUNCT
fuelectenerg-3307	96	49	decomposition	decomposition	NOUN
fuelectenerg-3307	96	50	[	[	X
fuelectenerg-3307	96	51	18	18	NUM
fuelectenerg-3307	96	52	]	]	PUNCT
fuelectenerg-3307	96	53	.	.	PUNCT
fuelectenerg-3307	97	1	we	we	PRON
fuelectenerg-3307	97	2	suggest	suggest	VERB
fuelectenerg-3307	97	3	in	in	ADP
fuelectenerg-3307	97	4	this	this	DET
fuelectenerg-3307	97	5	paper	paper	NOUN
fuelectenerg-3307	97	6	an	an	DET
fuelectenerg-3307	97	7	approach	approach	NOUN
fuelectenerg-3307	97	8	to	to	PART
fuelectenerg-3307	97	9	find	find	VERB
fuelectenerg-3307	97	10	also	also	ADV
fuelectenerg-3307	97	11	compact	compact	VERB
fuelectenerg-3307	97	12	strong	strong	ADJ
fuelectenerg-3307	97	13	xor	xor	PROPN
fuelectenerg-3307	97	14	-	-	PUNCT
fuelectenerg-3307	97	15	bi	bi	NOUN
fuelectenerg-3307	97	16	-	-	NOUN
fuelectenerg-3307	97	17	decompositions	decomposition	NOUN
fuelectenerg-3307	97	18	for	for	ADP
fuelectenerg-3307	97	19	a	a	DET
fuelectenerg-3307	97	20	lattice	lattice	NOUN
fuelectenerg-3307	97	21	of	of	ADP
fuelectenerg-3307	97	22	boolean	boolean	ADJ
fuelectenerg-3307	97	23	functions	function	NOUN
fuelectenerg-3307	97	24	.	.	PUNCT
fuelectenerg-3307	98	1	this	this	DET
fuelectenerg-3307	98	2	new	new	ADJ
fuelectenerg-3307	98	3	method	method	NOUN
fuelectenerg-3307	98	4	combines	combine	VERB
fuelectenerg-3307	98	5	the	the	DET
fuelectenerg-3307	98	6	ideas	idea	NOUN
fuelectenerg-3307	98	7	of	of	ADP
fuelectenerg-3307	98	8	simplifications	simplification	NOUN
fuelectenerg-3307	98	9	used	use	VERB
fuelectenerg-3307	98	10	in	in	ADP
fuelectenerg-3307	98	11	both	both	CCONJ
fuelectenerg-3307	98	12	the	the	DET
fuelectenerg-3307	98	13	strong	strong	ADJ
fuelectenerg-3307	98	14	and	and	CCONJ
fuelectenerg-3307	98	15	the	the	DET
fuelectenerg-3307	98	16	vectorial	vectorial	ADJ
fuelectenerg-3307	98	17	bidecomposition	bidecomposition	NOUN
fuelectenerg-3307	98	18	.	.	PUNCT
fuelectenerg-3307	99	1	hence	hence	ADV
fuelectenerg-3307	99	2	,	,	PUNCT
fuelectenerg-3307	99	3	we	we	PRON
fuelectenerg-3307	99	4	are	be	AUX
fuelectenerg-3307	99	5	going	go	VERB
fuelectenerg-3307	99	6	to	to	PART
fuelectenerg-3307	99	7	solve	solve	VERB
fuelectenerg-3307	99	8	a	a	DET
fuelectenerg-3307	99	9	problem	problem	NOUN
fuelectenerg-3307	99	10	that	that	PRON
fuelectenerg-3307	99	11	is	be	AUX
fuelectenerg-3307	99	12	more	more	ADJ
fuelectenerg-3307	99	13	than	than	ADP
fuelectenerg-3307	99	14	20	20	NUM
fuelectenerg-3307	99	15	years	year	NOUN
fuelectenerg-3307	99	16	known	know	VERB
fuelectenerg-3307	99	17	as	as	ADP
fuelectenerg-3307	99	18	unsolved	unsolve	VERB
fuelectenerg-3307	99	19	.	.	PUNCT
fuelectenerg-3307	100	1	the	the	DET
fuelectenerg-3307	100	2	rest	rest	NOUN
fuelectenerg-3307	100	3	of	of	ADP
fuelectenerg-3307	100	4	this	this	DET
fuelectenerg-3307	100	5	paper	paper	NOUN
fuelectenerg-3307	100	6	is	be	AUX
fuelectenerg-3307	100	7	organized	organize	VERB
fuelectenerg-3307	100	8	as	as	SCONJ
fuelectenerg-3307	100	9	follows	follow	VERB
fuelectenerg-3307	100	10	.	.	PUNCT
fuelectenerg-3307	101	1	section	section	NOUN
fuelectenerg-3307	101	2	2	2	NUM
fuelectenerg-3307	101	3	briefly	briefly	NOUN
fuelectenerg-3307	101	4	describes	describe	VERB
fuelectenerg-3307	101	5	lattices	lattice	NOUN
fuelectenerg-3307	101	6	of	of	ADP
fuelectenerg-3307	101	7	boolean	boolean	ADJ
fuelectenerg-3307	101	8	functions	function	NOUN
fuelectenerg-3307	101	9	and	and	CCONJ
fuelectenerg-3307	101	10	single	single	ADJ
fuelectenerg-3307	101	11	derivatives	derivative	NOUN
fuelectenerg-3307	101	12	of	of	ADP
fuelectenerg-3307	101	13	functions	function	NOUN
fuelectenerg-3307	101	14	belonging	belong	VERB
fuelectenerg-3307	101	15	to	to	ADP
fuelectenerg-3307	101	16	such	such	DET
fuelectenerg-3307	101	17	a	a	DET
fuelectenerg-3307	101	18	lattice	lattice	NOUN
fuelectenerg-3307	101	19	.	.	PUNCT
fuelectenerg-3307	102	1	section	section	NOUN
fuelectenerg-3307	102	2	3	3	NUM
fuelectenerg-3307	102	3	summarizes	summarize	NOUN
fuelectenerg-3307	102	4	the	the	DET
fuelectenerg-3307	102	5	known	know	VERB
fuelectenerg-3307	102	6	approach	approach	NOUN
fuelectenerg-3307	102	7	to	to	PART
fuelectenerg-3307	102	8	find	find	VERB
fuelectenerg-3307	102	9	and	and	CCONJ
fuelectenerg-3307	102	10	determine	determine	VERB
fuelectenerg-3307	102	11	noncompact	noncompact	NOUN
fuelectenerg-3307	102	12	xor	xor	PROPN
fuelectenerg-3307	102	13	-	-	PUNCT
fuelectenerg-3307	102	14	bi	bi	NOUN
fuelectenerg-3307	102	15	-	-	NOUN
fuelectenerg-3307	102	16	decompositions	decomposition	NOUN
fuelectenerg-3307	102	17	.	.	PUNCT
fuelectenerg-3307	103	1	section	section	NOUN
fuelectenerg-3307	103	2	4	4	NUM
fuelectenerg-3307	103	3	introduces	introduce	NOUN
fuelectenerg-3307	103	4	into	into	ADP
fuelectenerg-3307	103	5	the	the	DET
fuelectenerg-3307	103	6	theory	theory	NOUN
fuelectenerg-3307	103	7	of	of	ADP
fuelectenerg-3307	103	8	compact	compact	ADJ
fuelectenerg-3307	103	9	xor	xor	PROPN
fuelectenerg-3307	103	10	-	-	PUNCT
fuelectenerg-3307	103	11	bi	bi	ADJ
fuelectenerg-3307	103	12	-	-	ADJ
fuelectenerg-3307	103	13	bi	bi	NOUN
fuelectenerg-3307	103	14	-	-	NOUN
fuelectenerg-3307	103	15	decompositions	decomposition	NOUN
fuelectenerg-3307	103	16	,	,	PUNCT
fuelectenerg-3307	103	17	concludes	conclude	VERB
fuelectenerg-3307	103	18	the	the	DET
fuelectenerg-3307	103	19	main	main	ADJ
fuelectenerg-3307	103	20	theorem	theorem	NOUN
fuelectenerg-3307	103	21	and	and	CCONJ
fuelectenerg-3307	103	22	the	the	DET
fuelectenerg-3307	103	23	consequence	consequence	NOUN
fuelectenerg-3307	103	24	for	for	ADP
fuelectenerg-3307	103	25	compact	compact	ADJ
fuelectenerg-3307	103	26	xor	xor	PROPN
fuelectenerg-3307	103	27	-	-	PUNCT
fuelectenerg-3307	103	28	bi	bi	ADJ
fuelectenerg-3307	103	29	-	-	ADJ
fuelectenerg-3307	103	30	bi	bi	NOUN
fuelectenerg-3307	103	31	-	-	NOUN
fuelectenerg-3307	103	32	decompositions	decomposition	NOUN
fuelectenerg-3307	103	33	,	,	PUNCT
fuelectenerg-3307	103	34	and	and	CCONJ
fuelectenerg-3307	103	35	provides	provide	VERB
fuelectenerg-3307	103	36	two	two	NUM
fuelectenerg-3307	103	37	consecutive	consecutive	ADJ
fuelectenerg-3307	103	38	algorithms	algorithm	NOUN
fuelectenerg-3307	103	39	that	that	PRON
fuelectenerg-3307	103	40	solve	solve	VERB
fuelectenerg-3307	103	41	this	this	DET
fuelectenerg-3307	103	42	task	task	NOUN
fuelectenerg-3307	103	43	using	use	VERB
fuelectenerg-3307	103	44	xboole	xboole	PROPN
fuelectenerg-3307	104	1	[	[	X
fuelectenerg-3307	104	2	19	19	NUM
fuelectenerg-3307	104	3	,	,	PUNCT
fuelectenerg-3307	104	4	20	20	NUM
fuelectenerg-3307	104	5	]	]	PUNCT
fuelectenerg-3307	104	6	.	.	PUNCT
fuelectenerg-3307	105	1	section	section	NOUN
fuelectenerg-3307	105	2	5	5	NUM
fuelectenerg-3307	105	3	demonstrates	demonstrate	VERB
fuelectenerg-3307	105	4	the	the	DET
fuelectenerg-3307	105	5	benefits	benefit	NOUN
fuelectenerg-3307	105	6	of	of	ADP
fuelectenerg-3307	105	7	the	the	DET
fuelectenerg-3307	105	8	suggested	suggest	VERB
fuelectenerg-3307	105	9	new	new	ADJ
fuelectenerg-3307	105	10	decomposition	decomposition	NOUN
fuelectenerg-3307	105	11	method	method	NOUN
fuelectenerg-3307	105	12	by	by	ADP
fuelectenerg-3307	105	13	means	mean	NOUN
fuelectenerg-3307	105	14	of	of	ADP
fuelectenerg-3307	105	15	a	a	DET
fuelectenerg-3307	105	16	simple	simple	ADJ
fuelectenerg-3307	105	17	example	example	NOUN
fuelectenerg-3307	105	18	.	.	PUNCT
fuelectenerg-3307	106	1	section	section	NOUN
fuelectenerg-3307	106	2	6	6	NUM
fuelectenerg-3307	106	3	concludes	conclude	VERB
fuelectenerg-3307	106	4	the	the	DET
fuelectenerg-3307	106	5	paper	paper	NOUN
fuelectenerg-3307	106	6	.	.	PUNCT
fuelectenerg-3307	107	1	2	2	NUM
fuelectenerg-3307	107	2	lattices	lattice	NOUN
fuelectenerg-3307	107	3	of	of	ADP
fuelectenerg-3307	107	4	boolean	boolean	ADJ
fuelectenerg-3307	107	5	functions	function	NOUN
fuelectenerg-3307	107	6	lattices	lattice	NOUN
fuelectenerg-3307	107	7	of	of	ADP
fuelectenerg-3307	107	8	boolean	boolean	ADJ
fuelectenerg-3307	107	9	functions	function	NOUN
fuelectenerg-3307	107	10	occur	occur	VERB
fuelectenerg-3307	107	11	,	,	PUNCT
fuelectenerg-3307	107	12	e.g.	e.g.	ADV
fuelectenerg-3307	107	13	,	,	PUNCT
fuelectenerg-3307	107	14	in	in	ADP
fuelectenerg-3307	107	15	circuit	circuit	NOUN
fuelectenerg-3307	107	16	design	design	NOUN
fuelectenerg-3307	107	17	where	where	SCONJ
fuelectenerg-3307	107	18	each	each	DET
fuelectenerg-3307	107	19	function	function	NOUN
fuelectenerg-3307	107	20	of	of	ADP
fuelectenerg-3307	107	21	the	the	DET
fuelectenerg-3307	107	22	lattice	lattice	NOUN
fuelectenerg-3307	107	23	can	can	AUX
fuelectenerg-3307	107	24	be	be	AUX
fuelectenerg-3307	107	25	chosen	choose	VERB
fuelectenerg-3307	107	26	as	as	ADP
fuelectenerg-3307	107	27	a	a	DET
fuelectenerg-3307	107	28	function	function	NOUN
fuelectenerg-3307	107	29	to	to	PART
fuelectenerg-3307	107	30	realize	realize	VERB
fuelectenerg-3307	107	31	the	the	DET
fuelectenerg-3307	107	32	circuit	circuit	NOUN
fuelectenerg-3307	107	33	structure	structure	NOUN
fuelectenerg-3307	107	34	.	.	PUNCT
fuelectenerg-3307	108	1	hence	hence	ADV
fuelectenerg-3307	108	2	,	,	PUNCT
fuelectenerg-3307	108	3	lattices	lattice	NOUN
fuelectenerg-3307	108	4	of	of	ADP
fuelectenerg-3307	108	5	boolean	boolean	ADJ
fuelectenerg-3307	108	6	functions	function	NOUN
fuelectenerg-3307	108	7	provide	provide	VERB
fuelectenerg-3307	108	8	a	a	DET
fuelectenerg-3307	108	9	possibility	possibility	NOUN
fuelectenerg-3307	108	10	for	for	ADP
fuelectenerg-3307	108	11	optimization	optimization	NOUN
fuelectenerg-3307	108	12	in	in	ADP
fuelectenerg-3307	108	13	circuit	circuit	NOUN
fuelectenerg-3307	108	14	design	design	NOUN
fuelectenerg-3307	108	15	.	.	PUNCT
fuelectenerg-3307	109	1	widely	widely	ADV
fuelectenerg-3307	109	2	used	use	VERB
fuelectenerg-3307	109	3	are	be	AUX
fuelectenerg-3307	109	4	lattices	lattice	NOUN
fuelectenerg-3307	109	5	which	which	PRON
fuelectenerg-3307	109	6	can	can	AUX
fuelectenerg-3307	109	7	be	be	AUX
fuelectenerg-3307	109	8	modeled	model	VERB
fuelectenerg-3307	109	9	as	as	ADP
fuelectenerg-3307	109	10	incompletely	incompletely	ADV
fuelectenerg-3307	109	11	specified	specify	VERB
fuelectenerg-3307	109	12	function	function	NOUN
fuelectenerg-3307	109	13	(	(	PUNCT
fuelectenerg-3307	109	14	isf	isf	PROPN
fuelectenerg-3307	109	15	)	)	PUNCT
fuelectenerg-3307	109	16	.	.	PUNCT
fuelectenerg-3307	110	1	such	such	DET
fuelectenerg-3307	110	2	an	an	DET
fuelectenerg-3307	110	3	incompletely	incompletely	ADV
fuelectenerg-3307	110	4	specified	specify	VERB
fuelectenerg-3307	110	5	boolean	boolean	ADJ
fuelectenerg-3307	110	6	function	function	NOUN
fuelectenerg-3307	110	7	divides	divide	VERB
fuelectenerg-3307	110	8	the	the	DET
fuelectenerg-3307	110	9	2n	2n	NUM
fuelectenerg-3307	110	10	patterns	pattern	NOUN
fuelectenerg-3307	110	11	224	224	NUM
fuelectenerg-3307	110	12	b.	b.	PROPN
fuelectenerg-3307	110	13	steinbach	steinbach	PROPN
fuelectenerg-3307	110	14	,	,	PUNCT
fuelectenerg-3307	110	15	c.	c.	PROPN
fuelectenerg-3307	110	16	posthoff	posthoff	PROPN
fuelectenerg-3307	110	17	compact	compact	ADJ
fuelectenerg-3307	110	18	xor	xor	PROPN
fuelectenerg-3307	110	19	-	-	PUNCT
fuelectenerg-3307	110	20	bi	bi	NOUN
fuelectenerg-3307	110	21	-	-	NOUN
fuelectenerg-3307	110	22	decomposition	decomposition	NOUN
fuelectenerg-3307	110	23	for	for	ADP
fuelectenerg-3307	110	24	lattices	lattice	NOUN
fuelectenerg-3307	110	25	of	of	ADP
fuelectenerg-3307	110	26	boolean	boolean	ADJ
fuelectenerg-3307	110	27	functions	function	NOUN
fuelectenerg-3307	110	28	225	225	NUM
fuelectenerg-3307	110	29	2	2	NUM
fuelectenerg-3307	110	30	b.	b.	NOUN
fuelectenerg-3307	110	31	steinbach	steinbach	PROPN
fuelectenerg-3307	110	32	and	and	CCONJ
fuelectenerg-3307	110	33	c.	c.	PROPN
fuelectenerg-3307	110	34	posthoff	posthoff	PROPN
fuelectenerg-3307	110	35	:	:	PUNCT
fuelectenerg-3307	110	36	proach	proach	DET
fuelectenerg-3307	110	37	that	that	PRON
fuelectenerg-3307	110	38	decomposes	decompose	VERB
fuelectenerg-3307	110	39	a	a	DET
fuelectenerg-3307	110	40	given	give	VERB
fuelectenerg-3307	110	41	boolean	boolean	ADJ
fuelectenerg-3307	110	42	function	function	NOUN
fuelectenerg-3307	110	43	into	into	ADP
fuelectenerg-3307	110	44	two	two	NUM
fuelectenerg-3307	110	45	simpler	simple	ADJ
fuelectenerg-3307	110	46	decomposition	decomposition	NOUN
fuelectenerg-3307	110	47	functions	function	NOUN
fuelectenerg-3307	110	48	which	which	PRON
fuelectenerg-3307	110	49	are	be	AUX
fuelectenerg-3307	110	50	combined	combine	VERB
fuelectenerg-3307	110	51	by	by	ADP
fuelectenerg-3307	110	52	an	an	DET
fuelectenerg-3307	110	53	and-	and-	NOUN
fuelectenerg-3307	110	54	,	,	PUNCT
fuelectenerg-3307	110	55	an	an	DET
fuelectenerg-3307	110	56	or-	or-	X
fuelectenerg-3307	110	57	,	,	PUNCT
fuelectenerg-3307	110	58	or	or	CCONJ
fuelectenerg-3307	110	59	an	an	DET
fuelectenerg-3307	110	60	xor	xor	PROPN
fuelectenerg-3307	110	61	-	-	PUNCT
fuelectenerg-3307	110	62	gate	gate	NOUN
fuelectenerg-3307	110	63	.	.	PUNCT
fuelectenerg-3307	111	1	for	for	ADP
fuelectenerg-3307	111	2	the	the	DET
fuelectenerg-3307	111	3	aim	aim	NOUN
fuelectenerg-3307	111	4	of	of	ADP
fuelectenerg-3307	111	5	simplification	simplification	NOUN
fuelectenerg-3307	111	6	,	,	PUNCT
fuelectenerg-3307	111	7	the	the	PRON
fuelectenerg-3307	111	8	bi	bi	ADJ
fuelectenerg-3307	111	9	-	-	ADJ
fuelectenerg-3307	111	10	decomposition	decomposition	NOUN
fuelectenerg-3307	111	11	utilizes	utilize	VERB
fuelectenerg-3307	111	12	the	the	DET
fuelectenerg-3307	111	13	properties	property	NOUN
fuelectenerg-3307	111	14	of	of	ADP
fuelectenerg-3307	111	15	the	the	DET
fuelectenerg-3307	111	16	given	give	VERB
fuelectenerg-3307	111	17	boolean	boolean	ADJ
fuelectenerg-3307	111	18	function	function	NOUN
fuelectenerg-3307	111	19	to	to	PART
fuelectenerg-3307	111	20	design	design	VERB
fuelectenerg-3307	111	21	circuit	circuit	NOUN
fuelectenerg-3307	111	22	structures	structure	NOUN
fuelectenerg-3307	111	23	of	of	ADP
fuelectenerg-3307	111	24	a	a	DET
fuelectenerg-3307	111	25	small	small	ADJ
fuelectenerg-3307	111	26	area	area	NOUN
fuelectenerg-3307	111	27	,	,	PUNCT
fuelectenerg-3307	111	28	low	low	ADJ
fuelectenerg-3307	111	29	power	power	NOUN
fuelectenerg-3307	111	30	consumption	consumption	NOUN
fuelectenerg-3307	111	31	,	,	PUNCT
fuelectenerg-3307	111	32	and	and	CCONJ
fuelectenerg-3307	111	33	low	low	ADJ
fuelectenerg-3307	111	34	delay	delay	NOUN
fuelectenerg-3307	111	35	[	[	X
fuelectenerg-3307	111	36	1	1	NUM
fuelectenerg-3307	111	37	]	]	PUNCT
fuelectenerg-3307	111	38	.	.	PUNCT
fuelectenerg-3307	112	1	there	there	PRON
fuelectenerg-3307	112	2	are	be	VERB
fuelectenerg-3307	112	3	several	several	ADJ
fuelectenerg-3307	112	4	types	type	NOUN
fuelectenerg-3307	112	5	of	of	ADP
fuelectenerg-3307	112	6	bi	bi	NOUN
fuelectenerg-3307	112	7	-	-	NOUN
fuelectenerg-3307	112	8	decompositions	decomposition	NOUN
fuelectenerg-3307	112	9	.	.	PUNCT
fuelectenerg-3307	113	1	both	both	DET
fuelectenerg-3307	113	2	decomposition	decomposition	NOUN
fuelectenerg-3307	113	3	functions	function	NOUN
fuelectenerg-3307	113	4	of	of	ADP
fuelectenerg-3307	113	5	each	each	DET
fuelectenerg-3307	113	6	strong	strong	ADJ
fuelectenerg-3307	113	7	bi	bi	NOUN
fuelectenerg-3307	113	8	-	-	NOUN
fuelectenerg-3307	113	9	decomposition	decomposition	NOUN
fuelectenerg-3307	113	10	are	be	AUX
fuelectenerg-3307	113	11	simpler	simple	ADJ
fuelectenerg-3307	113	12	than	than	ADP
fuelectenerg-3307	113	13	the	the	DET
fuelectenerg-3307	113	14	given	give	VERB
fuelectenerg-3307	113	15	function	function	NOUN
fuelectenerg-3307	113	16	because	because	SCONJ
fuelectenerg-3307	113	17	they	they	PRON
fuelectenerg-3307	113	18	depend	depend	VERB
fuelectenerg-3307	113	19	on	on	ADP
fuelectenerg-3307	113	20	fewer	few	ADJ
fuelectenerg-3307	113	21	variables	variable	NOUN
fuelectenerg-3307	113	22	.	.	PUNCT
fuelectenerg-3307	114	1	unfortunately	unfortunately	ADV
fuelectenerg-3307	114	2	,	,	PUNCT
fuelectenerg-3307	114	3	there	there	PRON
fuelectenerg-3307	114	4	are	be	VERB
fuelectenerg-3307	114	5	functions	function	NOUN
fuelectenerg-3307	114	6	for	for	ADP
fuelectenerg-3307	114	7	which	which	PRON
fuelectenerg-3307	114	8	no	no	DET
fuelectenerg-3307	114	9	strong	strong	ADJ
fuelectenerg-3307	114	10	bi	bi	ADJ
fuelectenerg-3307	114	11	-	-	ADJ
fuelectenerg-3307	114	12	decomposition	decomposition	NOUN
fuelectenerg-3307	114	13	exists	exist	VERB
fuelectenerg-3307	114	14	.	.	PUNCT
fuelectenerg-3307	114	15	le	le	X
fuelectenerg-3307	115	1	[	[	X
fuelectenerg-3307	115	2	2	2	NUM
fuelectenerg-3307	115	3	]	]	PUNCT
fuelectenerg-3307	115	4	bridged	bridge	VERB
fuelectenerg-3307	115	5	this	this	DET
fuelectenerg-3307	115	6	gap	gap	NOUN
fuelectenerg-3307	115	7	by	by	ADP
fuelectenerg-3307	115	8	means	mean	NOUN
fuelectenerg-3307	115	9	of	of	ADP
fuelectenerg-3307	115	10	the	the	DET
fuelectenerg-3307	115	11	weak	weak	ADJ
fuelectenerg-3307	115	12	bi	bi	NOUN
fuelectenerg-3307	115	13	-	-	NOUN
fuelectenerg-3307	115	14	decomposition	decomposition	NOUN
fuelectenerg-3307	115	15	.	.	PUNCT
fuelectenerg-3307	116	1	he	he	PRON
fuelectenerg-3307	116	2	found	find	VERB
fuelectenerg-3307	116	3	that	that	SCONJ
fuelectenerg-3307	116	4	each	each	DET
fuelectenerg-3307	116	5	function	function	NOUN
fuelectenerg-3307	116	6	,	,	PUNCT
fuelectenerg-3307	116	7	for	for	ADP
fuelectenerg-3307	116	8	which	which	PRON
fuelectenerg-3307	116	9	neither	neither	CCONJ
fuelectenerg-3307	116	10	a	a	DET
fuelectenerg-3307	116	11	weak	weak	ADJ
fuelectenerg-3307	116	12	or	or	CCONJ
fuelectenerg-3307	116	13	bi	bi	NOUN
fuelectenerg-3307	116	14	-	-	NOUN
fuelectenerg-3307	116	15	decomposition	decomposition	NOUN
fuelectenerg-3307	116	16	nor	nor	CCONJ
fuelectenerg-3307	116	17	a	a	DET
fuelectenerg-3307	116	18	weak	weak	ADJ
fuelectenerg-3307	116	19	and	and	CCONJ
fuelectenerg-3307	116	20	bi	bi	NOUN
fuelectenerg-3307	116	21	-	-	ADJ
fuelectenerg-3307	116	22	decomposition	decomposition	NOUN
fuelectenerg-3307	116	23	exists	exist	VERB
fuelectenerg-3307	116	24	,	,	PUNCT
fuelectenerg-3307	116	25	can	can	AUX
fuelectenerg-3307	116	26	be	be	AUX
fuelectenerg-3307	116	27	simplified	simplify	VERB
fuelectenerg-3307	116	28	by	by	ADP
fuelectenerg-3307	116	29	a	a	DET
fuelectenerg-3307	116	30	strong	strong	ADJ
fuelectenerg-3307	116	31	xor	xor	PROPN
fuelectenerg-3307	116	32	bi	bi	NOUN
fuelectenerg-3307	116	33	-	-	NOUN
fuelectenerg-3307	116	34	decomposition	decomposition	NOUN
fuelectenerg-3307	116	35	.	.	PUNCT
fuelectenerg-3307	117	1	a	a	DET
fuelectenerg-3307	117	2	simplified	simplified	ADJ
fuelectenerg-3307	117	3	proof	proof	NOUN
fuelectenerg-3307	117	4	of	of	ADP
fuelectenerg-3307	117	5	the	the	DET
fuelectenerg-3307	117	6	completeness	completeness	NOUN
fuelectenerg-3307	117	7	of	of	ADP
fuelectenerg-3307	117	8	the	the	DET
fuelectenerg-3307	117	9	strong	strong	ADJ
fuelectenerg-3307	117	10	and	and	CCONJ
fuelectenerg-3307	117	11	weak	weak	ADJ
fuelectenerg-3307	117	12	bi	bi	NOUN
fuelectenerg-3307	117	13	-	-	NOUN
fuelectenerg-3307	117	14	decomposition	decomposition	NOUN
fuelectenerg-3307	117	15	is	be	AUX
fuelectenerg-3307	117	16	given	give	VERB
fuelectenerg-3307	117	17	in	in	ADP
fuelectenerg-3307	117	18	[	[	X
fuelectenerg-3307	117	19	3	3	NUM
fuelectenerg-3307	117	20	,	,	PUNCT
fuelectenerg-3307	117	21	4	4	NUM
fuelectenerg-3307	117	22	]	]	PUNCT
fuelectenerg-3307	117	23	.	.	PUNCT
fuelectenerg-3307	118	1	an	an	DET
fuelectenerg-3307	118	2	implementation	implementation	NOUN
fuelectenerg-3307	118	3	that	that	PRON
fuelectenerg-3307	118	4	reuses	reuse	VERB
fuelectenerg-3307	118	5	already	already	ADV
fuelectenerg-3307	118	6	decomposed	decompose	VERB
fuelectenerg-3307	118	7	blocks	block	NOUN
fuelectenerg-3307	118	8	outperforms	outperform	VERB
fuelectenerg-3307	118	9	other	other	ADJ
fuelectenerg-3307	118	10	synthesis	synthesis	NOUN
fuelectenerg-3307	118	11	approaches	approach	NOUN
fuelectenerg-3307	118	12	[	[	X
fuelectenerg-3307	118	13	5	5	NUM
fuelectenerg-3307	118	14	]	]	PUNCT
fuelectenerg-3307	118	15	.	.	PUNCT
fuelectenerg-3307	119	1	a	a	DET
fuelectenerg-3307	119	2	drawback	drawback	NOUN
fuelectenerg-3307	119	3	of	of	ADP
fuelectenerg-3307	119	4	the	the	DET
fuelectenerg-3307	119	5	weak	weak	ADJ
fuelectenerg-3307	119	6	bi	bi	NOUN
fuelectenerg-3307	119	7	-	-	NOUN
fuelectenerg-3307	119	8	decomposition	decomposition	NOUN
fuelectenerg-3307	119	9	is	be	AUX
fuelectenerg-3307	119	10	that	that	SCONJ
fuelectenerg-3307	119	11	the	the	DET
fuelectenerg-3307	119	12	synthesized	synthesize	VERB
fuelectenerg-3307	119	13	circuits	circuit	NOUN
fuelectenerg-3307	119	14	can	can	AUX
fuelectenerg-3307	119	15	have	have	VERB
fuelectenerg-3307	119	16	a	a	DET
fuelectenerg-3307	119	17	large	large	ADJ
fuelectenerg-3307	119	18	difference	difference	NOUN
fuelectenerg-3307	119	19	between	between	ADP
fuelectenerg-3307	119	20	the	the	DET
fuelectenerg-3307	119	21	shortest	short	ADJ
fuelectenerg-3307	119	22	and	and	CCONJ
fuelectenerg-3307	119	23	the	the	DET
fuelectenerg-3307	119	24	longest	long	ADJ
fuelectenerg-3307	119	25	path	path	NOUN
fuelectenerg-3307	119	26	(	(	PUNCT
fuelectenerg-3307	119	27	unbalanced	unbalanced	ADJ
fuelectenerg-3307	119	28	circuits	circuit	NOUN
fuelectenerg-3307	119	29	)	)	PUNCT
fuelectenerg-3307	119	30	.	.	PUNCT
fuelectenerg-3307	120	1	recently	recently	ADV
fuelectenerg-3307	120	2	,	,	PUNCT
fuelectenerg-3307	120	3	vectorial	vectorial	ADJ
fuelectenerg-3307	120	4	bi	bi	NOUN
fuelectenerg-3307	120	5	-	-	NOUN
fuelectenerg-3307	120	6	decompositions	decomposition	NOUN
fuelectenerg-3307	120	7	were	be	AUX
fuelectenerg-3307	120	8	suggested	suggest	VERB
fuelectenerg-3307	120	9	as	as	ADP
fuelectenerg-3307	120	10	supplement	supplement	NOUN
fuelectenerg-3307	120	11	to	to	ADP
fuelectenerg-3307	120	12	strong	strong	ADJ
fuelectenerg-3307	120	13	and	and	CCONJ
fuelectenerg-3307	120	14	weak	weak	ADJ
fuelectenerg-3307	120	15	bi	bi	NOUN
fuelectenerg-3307	120	16	-	-	NOUN
fuelectenerg-3307	120	17	decompositions	decomposition	NOUN
fuelectenerg-3307	120	18	[	[	X
fuelectenerg-3307	120	19	6	6	NUM
fuelectenerg-3307	120	20	,	,	PUNCT
fuelectenerg-3307	120	21	7	7	NUM
fuelectenerg-3307	120	22	]	]	PUNCT
fuelectenerg-3307	120	23	.	.	PUNCT
fuelectenerg-3307	121	1	the	the	DET
fuelectenerg-3307	121	2	decomposition	decomposition	NOUN
fuelectenerg-3307	121	3	functions	function	NOUN
fuelectenerg-3307	121	4	of	of	ADP
fuelectenerg-3307	121	5	these	these	DET
fuelectenerg-3307	121	6	bidecompositions	bidecomposition	NOUN
fuelectenerg-3307	121	7	are	be	AUX
fuelectenerg-3307	121	8	simpler	simple	ADJ
fuelectenerg-3307	121	9	than	than	ADP
fuelectenerg-3307	121	10	the	the	DET
fuelectenerg-3307	121	11	given	give	VERB
fuelectenerg-3307	121	12	function	function	NOUN
fuelectenerg-3307	121	13	because	because	SCONJ
fuelectenerg-3307	121	14	they	they	PRON
fuelectenerg-3307	121	15	are	be	AUX
fuelectenerg-3307	121	16	independent	independent	ADJ
fuelectenerg-3307	121	17	of	of	ADP
fuelectenerg-3307	121	18	the	the	DET
fuelectenerg-3307	121	19	simultaneous	simultaneous	ADJ
fuelectenerg-3307	121	20	change	change	NOUN
fuelectenerg-3307	121	21	of	of	ADP
fuelectenerg-3307	121	22	several	several	ADJ
fuelectenerg-3307	121	23	variables	variable	NOUN
fuelectenerg-3307	121	24	.	.	PUNCT
fuelectenerg-3307	122	1	vectorial	vectorial	ADJ
fuelectenerg-3307	122	2	bi	bi	NOUN
fuelectenerg-3307	122	3	-	-	NOUN
fuelectenerg-3307	122	4	decompositions	decomposition	NOUN
fuelectenerg-3307	122	5	can	can	AUX
fuelectenerg-3307	122	6	exist	exist	VERB
fuelectenerg-3307	122	7	for	for	ADP
fuelectenerg-3307	122	8	functions	function	NOUN
fuelectenerg-3307	122	9	without	without	ADP
fuelectenerg-3307	122	10	any	any	DET
fuelectenerg-3307	122	11	strong	strong	ADJ
fuelectenerg-3307	122	12	bi	bi	NOUN
fuelectenerg-3307	122	13	-	-	NOUN
fuelectenerg-3307	122	14	decomposition	decomposition	NOUN
fuelectenerg-3307	122	15	.	.	PUNCT
fuelectenerg-3307	123	1	benefits	benefit	NOUN
fuelectenerg-3307	123	2	of	of	ADP
fuelectenerg-3307	123	3	the	the	DET
fuelectenerg-3307	123	4	vectorial	vectorial	ADJ
fuelectenerg-3307	123	5	bi	bi	NOUN
fuelectenerg-3307	123	6	-	-	NOUN
fuelectenerg-3307	123	7	decomposition	decomposition	NOUN
fuelectenerg-3307	123	8	are	be	AUX
fuelectenerg-3307	123	9	their	their	PRON
fuelectenerg-3307	123	10	contribution	contribution	NOUN
fuelectenerg-3307	123	11	to	to	ADP
fuelectenerg-3307	123	12	balanced	balanced	ADJ
fuelectenerg-3307	123	13	circuits	circuit	NOUN
fuelectenerg-3307	123	14	and	and	CCONJ
fuelectenerg-3307	123	15	the	the	DET
fuelectenerg-3307	123	16	increased	increase	VERB
fuelectenerg-3307	123	17	number	number	NOUN
fuelectenerg-3307	123	18	of	of	ADP
fuelectenerg-3307	123	19	decomposition	decomposition	NOUN
fuelectenerg-3307	123	20	possibilities	possibility	NOUN
fuelectenerg-3307	123	21	in	in	ADP
fuelectenerg-3307	123	22	comparison	comparison	NOUN
fuelectenerg-3307	123	23	to	to	ADP
fuelectenerg-3307	123	24	the	the	DET
fuelectenerg-3307	123	25	strong	strong	ADJ
fuelectenerg-3307	123	26	bi	bi	NOUN
fuelectenerg-3307	123	27	-	-	NOUN
fuelectenerg-3307	123	28	decomposition	decomposition	NOUN
fuelectenerg-3307	123	29	.	.	PUNCT
fuelectenerg-3307	124	1	all	all	DET
fuelectenerg-3307	124	2	bi	bi	ADJ
fuelectenerg-3307	124	3	-	-	ADJ
fuelectenerg-3307	124	4	decomposition	decomposition	NOUN
fuelectenerg-3307	124	5	approaches	approach	NOUN
fuelectenerg-3307	124	6	mentioned	mention	VERB
fuelectenerg-3307	124	7	above	above	ADV
fuelectenerg-3307	124	8	utilize	utilize	VERB
fuelectenerg-3307	124	9	the	the	DET
fuelectenerg-3307	124	10	boolean	boolean	ADJ
fuelectenerg-3307	124	11	differential	differential	NOUN
fuelectenerg-3307	124	12	calculus	calculus	NOUN
fuelectenerg-3307	124	13	(	(	PUNCT
fuelectenerg-3307	124	14	bdc	bdc	PROPN
fuelectenerg-3307	124	15	)	)	PUNCT
fuelectenerg-3307	125	1	[	[	X
fuelectenerg-3307	125	2	3	3	NUM
fuelectenerg-3307	125	3	,	,	PUNCT
fuelectenerg-3307	125	4	4	4	NUM
fuelectenerg-3307	125	5	,	,	PUNCT
fuelectenerg-3307	125	6	8–12	8–12	NOUN
fuelectenerg-3307	125	7	]	]	PUNCT
fuelectenerg-3307	125	8	to	to	PART
fuelectenerg-3307	125	9	find	find	VERB
fuelectenerg-3307	125	10	optimal	optimal	ADJ
fuelectenerg-3307	125	11	bi	bi	NOUN
fuelectenerg-3307	125	12	-	-	NOUN
fuelectenerg-3307	125	13	decompositions	decomposition	NOUN
fuelectenerg-3307	125	14	.	.	PUNCT
fuelectenerg-3307	126	1	there	there	PRON
fuelectenerg-3307	126	2	are	be	VERB
fuelectenerg-3307	126	3	several	several	ADJ
fuelectenerg-3307	126	4	other	other	ADJ
fuelectenerg-3307	126	5	approaches	approach	NOUN
fuelectenerg-3307	126	6	of	of	ADP
fuelectenerg-3307	126	7	bi	bi	NOUN
fuelectenerg-3307	126	8	-	-	NOUN
fuelectenerg-3307	126	9	decompositions	decomposition	NOUN
fuelectenerg-3307	126	10	which	which	PRON
fuelectenerg-3307	126	11	demonstrate	demonstrate	VERB
fuelectenerg-3307	126	12	the	the	DET
fuelectenerg-3307	126	13	interest	interest	NOUN
fuelectenerg-3307	126	14	on	on	ADP
fuelectenerg-3307	126	15	this	this	DET
fuelectenerg-3307	126	16	useful	useful	ADJ
fuelectenerg-3307	126	17	synthesis	synthesis	NOUN
fuelectenerg-3307	126	18	method	method	NOUN
fuelectenerg-3307	126	19	;	;	PUNCT
fuelectenerg-3307	126	20	however	however	ADV
fuelectenerg-3307	126	21	,	,	PUNCT
fuelectenerg-3307	126	22	these	these	DET
fuelectenerg-3307	126	23	other	other	ADJ
fuelectenerg-3307	126	24	approaches	approach	NOUN
fuelectenerg-3307	126	25	are	be	AUX
fuelectenerg-3307	126	26	not	not	PART
fuelectenerg-3307	126	27	directly	directly	ADV
fuelectenerg-3307	126	28	helpful	helpful	ADJ
fuelectenerg-3307	126	29	to	to	PART
fuelectenerg-3307	126	30	solve	solve	VERB
fuelectenerg-3307	126	31	the	the	DET
fuelectenerg-3307	126	32	problem	problem	NOUN
fuelectenerg-3307	126	33	explored	explore	VERB
fuelectenerg-3307	126	34	in	in	ADP
fuelectenerg-3307	126	35	this	this	DET
fuelectenerg-3307	126	36	paper	paper	NOUN
fuelectenerg-3307	126	37	.	.	PUNCT
fuelectenerg-3307	127	1	in	in	ADP
fuelectenerg-3307	127	2	[	[	X
fuelectenerg-3307	127	3	13	13	NUM
fuelectenerg-3307	127	4	]	]	X
fuelectenerg-3307	127	5	a	a	DET
fuelectenerg-3307	127	6	method	method	NOUN
fuelectenerg-3307	127	7	for	for	ADP
fuelectenerg-3307	127	8	disjoint	disjoint	ADJ
fuelectenerg-3307	127	9	bi	bi	NOUN
fuelectenerg-3307	127	10	-	-	NOUN
fuelectenerg-3307	127	11	decompositions	decomposition	NOUN
fuelectenerg-3307	127	12	with	with	ADP
fuelectenerg-3307	127	13	an	an	DET
fuelectenerg-3307	127	14	extension	extension	NOUN
fuelectenerg-3307	127	15	to	to	ADP
fuelectenerg-3307	127	16	non	non	ADJ
fuelectenerg-3307	127	17	-	-	ADJ
fuelectenerg-3307	127	18	disjoint	disjoint	ADJ
fuelectenerg-3307	127	19	bi	bi	NOUN
fuelectenerg-3307	127	20	-	-	NOUN
fuelectenerg-3307	127	21	decompositions	decomposition	NOUN
fuelectenerg-3307	127	22	for	for	ADP
fuelectenerg-3307	127	23	a	a	DET
fuelectenerg-3307	127	24	single	single	ADJ
fuelectenerg-3307	127	25	common	common	ADJ
fuelectenerg-3307	127	26	variable	variable	NOUN
fuelectenerg-3307	127	27	are	be	AUX
fuelectenerg-3307	127	28	suggested	suggest	VERB
fuelectenerg-3307	127	29	.	.	PUNCT
fuelectenerg-3307	128	1	a	a	DET
fuelectenerg-3307	128	2	graph	graph	NOUN
fuelectenerg-3307	128	3	-	-	PUNCT
fuelectenerg-3307	128	4	based	base	VERB
fuelectenerg-3307	128	5	approach	approach	NOUN
fuelectenerg-3307	128	6	for	for	ADP
fuelectenerg-3307	128	7	bi	bi	NOUN
fuelectenerg-3307	128	8	-	-	NOUN
fuelectenerg-3307	128	9	decompositions	decomposition	NOUN
fuelectenerg-3307	128	10	was	be	AUX
fuelectenerg-3307	128	11	suggested	suggest	VERB
fuelectenerg-3307	128	12	in	in	ADP
fuelectenerg-3307	128	13	[	[	X
fuelectenerg-3307	128	14	14	14	NUM
fuelectenerg-3307	128	15	]	]	PUNCT
fuelectenerg-3307	128	16	.	.	PUNCT
fuelectenerg-3307	129	1	unfortunately	unfortunately	ADV
fuelectenerg-3307	129	2	,	,	PUNCT
fuelectenerg-3307	129	3	the	the	DET
fuelectenerg-3307	129	4	used	use	VERB
fuelectenerg-3307	129	5	benchmarks	benchmark	NOUN
fuelectenerg-3307	129	6	in	in	ADP
fuelectenerg-3307	129	7	[	[	X
fuelectenerg-3307	129	8	5	5	NUM
fuelectenerg-3307	129	9	]	]	PUNCT
fuelectenerg-3307	129	10	and	and	CCONJ
fuelectenerg-3307	129	11	[	[	X
fuelectenerg-3307	129	12	14	14	NUM
fuelectenerg-3307	129	13	]	]	PUNCT
fuelectenerg-3307	129	14	overlap	overlap	NOUN
fuelectenerg-3307	129	15	only	only	ADV
fuelectenerg-3307	129	16	partially	partially	ADV
fuelectenerg-3307	129	17	.	.	PUNCT
fuelectenerg-3307	130	1	one	one	NUM
fuelectenerg-3307	130	2	common	common	ADJ
fuelectenerg-3307	130	3	benchmark	benchmark	NOUN
fuelectenerg-3307	130	4	is	be	AUX
fuelectenerg-3307	130	5	t481	t481	PROPN
fuelectenerg-3307	130	6	where	where	SCONJ
fuelectenerg-3307	130	7	our	our	PRON
fuelectenerg-3307	130	8	approach	approach	NOUN
fuelectenerg-3307	130	9	from	from	ADP
fuelectenerg-3307	130	10	[	[	X
fuelectenerg-3307	130	11	5	5	NUM
fuelectenerg-3307	130	12	]	]	PUNCT
fuelectenerg-3307	130	13	outperforms	outperform	VERB
fuelectenerg-3307	130	14	the	the	DET
fuelectenerg-3307	130	15	graph	graph	NOUN
fuelectenerg-3307	130	16	-	-	PUNCT
fuelectenerg-3307	130	17	based	base	VERB
fuelectenerg-3307	130	18	approach	approach	NOUN
fuelectenerg-3307	130	19	from	from	ADP
fuelectenerg-3307	130	20	[	[	X
fuelectenerg-3307	130	21	14	14	NUM
fuelectenerg-3307	130	22	]	]	PUNCT
fuelectenerg-3307	130	23	in	in	ADP
fuelectenerg-3307	130	24	the	the	DET
fuelectenerg-3307	130	25	number	number	NOUN
fuelectenerg-3307	130	26	of	of	ADP
fuelectenerg-3307	130	27	gates	gate	NOUN
fuelectenerg-3307	130	28	(	(	PUNCT
fuelectenerg-3307	130	29	17/25	17/25	NUM
fuelectenerg-3307	130	30	)	)	PUNCT
fuelectenerg-3307	130	31	.	.	PUNCT
fuelectenerg-3307	131	1	recently	recently	ADV
fuelectenerg-3307	131	2	,	,	PUNCT
fuelectenerg-3307	131	3	semi	semi	ADJ
fuelectenerg-3307	131	4	-	-	ADJ
fuelectenerg-3307	131	5	tensor	tensor	ADJ
fuelectenerg-3307	131	6	products	product	NOUN
fuelectenerg-3307	131	7	of	of	ADP
fuelectenerg-3307	131	8	matrices	matrix	NOUN
fuelectenerg-3307	131	9	were	be	AUX
fuelectenerg-3307	131	10	suggested	suggest	VERB
fuelectenerg-3307	131	11	for	for	ADP
fuelectenerg-3307	131	12	bi	bi	NOUN
fuelectenerg-3307	131	13	-	-	NOUN
fuelectenerg-3307	131	14	decompositions	decomposition	NOUN
fuelectenerg-3307	131	15	of	of	ADP
fuelectenerg-3307	131	16	boolean	boolean	ADJ
fuelectenerg-3307	131	17	and	and	CCONJ
fuelectenerg-3307	131	18	multi	multi	ADJ
fuelectenerg-3307	131	19	-	-	ADJ
fuelectenerg-3307	131	20	valued	value	VERB
fuelectenerg-3307	131	21	functions	function	NOUN
fuelectenerg-3307	131	22	[	[	X
fuelectenerg-3307	131	23	15	15	NUM
fuelectenerg-3307	131	24	]	]	PUNCT
fuelectenerg-3307	131	25	.	.	PUNCT
fuelectenerg-3307	132	1	however	however	ADV
fuelectenerg-3307	132	2	,	,	PUNCT
fuelectenerg-3307	132	3	this	this	DET
fuelectenerg-3307	132	4	paper	paper	NOUN
fuelectenerg-3307	132	5	does	do	AUX
fuelectenerg-3307	132	6	not	not	PART
fuelectenerg-3307	132	7	contain	contain	VERB
fuelectenerg-3307	132	8	experimental	experimental	ADJ
fuelectenerg-3307	132	9	results	result	NOUN
fuelectenerg-3307	132	10	of	of	ADP
fuelectenerg-3307	132	11	benchmark	benchmark	NOUN
fuelectenerg-3307	132	12	circuits	circuit	NOUN
fuelectenerg-3307	132	13	.	.	PUNCT
fuelectenerg-3307	133	1	it	it	PRON
fuelectenerg-3307	133	2	is	be	AUX
fuelectenerg-3307	133	3	a	a	DET
fuelectenerg-3307	133	4	property	property	NOUN
fuelectenerg-3307	133	5	of	of	ADP
fuelectenerg-3307	133	6	the	the	DET
fuelectenerg-3307	133	7	given	give	VERB
fuelectenerg-3307	133	8	function	function	NOUN
fuelectenerg-3307	133	9	whether	whether	SCONJ
fuelectenerg-3307	133	10	it	it	PRON
fuelectenerg-3307	133	11	can	can	AUX
fuelectenerg-3307	133	12	be	be	AUX
fuelectenerg-3307	133	13	decomposed	decompose	VERB
fuelectenerg-3307	133	14	into	into	ADP
fuelectenerg-3307	133	15	two	two	NUM
fuelectenerg-3307	133	16	simpler	simple	ADJ
fuelectenerg-3307	133	17	decomposition	decomposition	NOUN
fuelectenerg-3307	133	18	functions	function	NOUN
fuelectenerg-3307	133	19	using	use	VERB
fuelectenerg-3307	133	20	a	a	DET
fuelectenerg-3307	133	21	certain	certain	ADJ
fuelectenerg-3307	133	22	type	type	NOUN
fuelectenerg-3307	133	23	of	of	ADP
fuelectenerg-3307	133	24	bi	bi	NOUN
fuelectenerg-3307	133	25	-	-	NOUN
fuelectenerg-3307	133	26	decomposition	decomposition	NOUN
fuelectenerg-3307	133	27	.	.	PUNCT
fuelectenerg-3307	134	1	the	the	DET
fuelectenerg-3307	134	2	possibility	possibility	NOUN
fuelectenerg-3307	134	3	to	to	PART
fuelectenerg-3307	134	4	find	find	VERB
fuelectenerg-3307	134	5	a	a	DET
fuelectenerg-3307	134	6	bi	bi	ADJ
fuelectenerg-3307	134	7	-	-	ADJ
fuelectenerg-3307	134	8	decomposition	decomposition	NOUN
fuelectenerg-3307	134	9	increases	increase	NOUN
fuelectenerg-3307	134	10	when	when	SCONJ
fuelectenerg-3307	134	11	the	the	DET
fuelectenerg-3307	134	12	function	function	NOUN
fuelectenerg-3307	134	13	to	to	PART
fuelectenerg-3307	134	14	decompose	decompose	VERB
fuelectenerg-3307	134	15	can	can	AUX
fuelectenerg-3307	134	16	be	be	AUX
fuelectenerg-3307	134	17	chosen	choose	VERB
fuelectenerg-3307	134	18	from	from	ADP
fuelectenerg-3307	134	19	a	a	DET
fuelectenerg-3307	134	20	lattice	lattice	NOUN
fuelectenerg-3307	134	21	of	of	ADP
fuelectenerg-3307	134	22	boolean	boolean	ADJ
fuelectenerg-3307	134	23	functions	function	NOUN
fuelectenerg-3307	134	24	.	.	PUNCT
fuelectenerg-3307	135	1	incompletely	incompletely	ADV
fuelectenerg-3307	135	2	specified	specify	VERB
fuelectenerg-3307	135	3	functions	function	NOUN
fuelectenerg-3307	135	4	compact	compact	ADJ
fuelectenerg-3307	135	5	xor	xor	PROPN
fuelectenerg-3307	135	6	-	-	PUNCT
fuelectenerg-3307	135	7	bi	bi	NOUN
fuelectenerg-3307	135	8	-	-	NOUN
fuelectenerg-3307	135	9	decomposition	decomposition	NOUN
fuelectenerg-3307	135	10	for	for	ADP
fuelectenerg-3307	135	11	lattices	lattice	NOUN
fuelectenerg-3307	135	12	of	of	ADP
fuelectenerg-3307	135	13	boolean	boolean	ADJ
fuelectenerg-3307	135	14	functions	function	NOUN
fuelectenerg-3307	135	15	3	3	NUM
fuelectenerg-3307	135	16	were	be	AUX
fuelectenerg-3307	135	17	traditionally	traditionally	ADV
fuelectenerg-3307	135	18	used	use	VERB
fuelectenerg-3307	135	19	as	as	ADP
fuelectenerg-3307	135	20	a	a	DET
fuelectenerg-3307	135	21	source	source	NOUN
fuelectenerg-3307	135	22	of	of	ADP
fuelectenerg-3307	135	23	a	a	DET
fuelectenerg-3307	135	24	lattice	lattice	NOUN
fuelectenerg-3307	135	25	of	of	ADP
fuelectenerg-3307	135	26	boolean	boolean	ADJ
fuelectenerg-3307	135	27	functions	function	NOUN
fuelectenerg-3307	135	28	.	.	PUNCT
fuelectenerg-3307	136	1	the	the	DET
fuelectenerg-3307	136	2	on	on	ADP
fuelectenerg-3307	136	3	-	-	PUNCT
fuelectenerg-3307	136	4	setfunction	setfunction	NOUN
fuelectenerg-3307	136	5	fq(x	fq(x	NOUN
fuelectenerg-3307	136	6	)	)	PUNCT
fuelectenerg-3307	136	7	and	and	CCONJ
fuelectenerg-3307	136	8	the	the	DET
fuelectenerg-3307	136	9	off	off	ADV
fuelectenerg-3307	136	10	-	-	PUNCT
fuelectenerg-3307	136	11	set	set	NOUN
fuelectenerg-3307	136	12	-	-	PUNCT
fuelectenerg-3307	136	13	function	function	NOUN
fuelectenerg-3307	136	14	fr(x	fr(x	X
fuelectenerg-3307	136	15	)	)	PUNCT
fuelectenerg-3307	136	16	are	be	AUX
fuelectenerg-3307	136	17	the	the	DET
fuelectenerg-3307	136	18	preferred	prefer	VERB
fuelectenerg-3307	136	19	mark	mark	NOUN
fuelectenerg-3307	136	20	functions	function	NOUN
fuelectenerg-3307	136	21	of	of	ADP
fuelectenerg-3307	136	22	these	these	DET
fuelectenerg-3307	136	23	lattices	lattice	NOUN
fuelectenerg-3307	136	24	.	.	PUNCT
fuelectenerg-3307	137	1	the	the	DET
fuelectenerg-3307	137	2	introduction	introduction	NOUN
fuelectenerg-3307	137	3	of	of	ADP
fuelectenerg-3307	137	4	derivative	derivative	ADJ
fuelectenerg-3307	137	5	operations	operation	NOUN
fuelectenerg-3307	137	6	for	for	ADP
fuelectenerg-3307	137	7	lattices	lattice	NOUN
fuelectenerg-3307	137	8	of	of	ADP
fuelectenerg-3307	137	9	boolean	boolean	ADJ
fuelectenerg-3307	137	10	functions	function	NOUN
fuelectenerg-3307	137	11	[	[	X
fuelectenerg-3307	137	12	4	4	NUM
fuelectenerg-3307	137	13	,	,	PUNCT
fuelectenerg-3307	137	14	16	16	NUM
fuelectenerg-3307	137	15	,	,	PUNCT
fuelectenerg-3307	137	16	17	17	NUM
fuelectenerg-3307	137	17	]	]	PUNCT
fuelectenerg-3307	137	18	facilitates	facilitate	VERB
fuelectenerg-3307	137	19	the	the	DET
fuelectenerg-3307	137	20	application	application	NOUN
fuelectenerg-3307	137	21	of	of	ADP
fuelectenerg-3307	137	22	lattices	lattice	NOUN
fuelectenerg-3307	137	23	in	in	ADP
fuelectenerg-3307	137	24	circuit	circuit	NOUN
fuelectenerg-3307	137	25	design	design	NOUN
fuelectenerg-3307	137	26	.	.	PUNCT
fuelectenerg-3307	138	1	a	a	DET
fuelectenerg-3307	138	2	strong	strong	ADJ
fuelectenerg-3307	138	3	bi	bi	NOUN
fuelectenerg-3307	138	4	-	-	NOUN
fuelectenerg-3307	138	5	decomposition	decomposition	NOUN
fuelectenerg-3307	138	6	divides	divide	VERB
fuelectenerg-3307	138	7	the	the	DET
fuelectenerg-3307	138	8	variables	variable	NOUN
fuelectenerg-3307	138	9	of	of	ADP
fuelectenerg-3307	138	10	the	the	DET
fuelectenerg-3307	138	11	function	function	NOUN
fuelectenerg-3307	138	12	to	to	PART
fuelectenerg-3307	138	13	decompose	decompose	VERB
fuelectenerg-3307	138	14	into	into	ADP
fuelectenerg-3307	138	15	three	three	NUM
fuelectenerg-3307	138	16	disjoint	disjoint	ADJ
fuelectenerg-3307	138	17	subsets	subset	NOUN
fuelectenerg-3307	138	18	.	.	PUNCT
fuelectenerg-3307	139	1	the	the	DET
fuelectenerg-3307	139	2	variables	variable	NOUN
fuelectenerg-3307	139	3	xa	xa	PROPN
fuelectenerg-3307	139	4	control	control	VERB
fuelectenerg-3307	139	5	only	only	ADV
fuelectenerg-3307	139	6	the	the	DET
fuelectenerg-3307	139	7	decomposition	decomposition	NOUN
fuelectenerg-3307	139	8	function	function	NOUN
fuelectenerg-3307	139	9	g	g	NOUN
fuelectenerg-3307	139	10	,	,	PUNCT
fuelectenerg-3307	139	11	the	the	DET
fuelectenerg-3307	139	12	variables	variable	NOUN
fuelectenerg-3307	139	13	xb	xb	PROPN
fuelectenerg-3307	139	14	control	control	PROPN
fuelectenerg-3307	139	15	only	only	ADV
fuelectenerg-3307	139	16	the	the	DET
fuelectenerg-3307	139	17	decomposition	decomposition	NOUN
fuelectenerg-3307	139	18	function	function	NOUN
fuelectenerg-3307	139	19	h	h	NOUN
fuelectenerg-3307	139	20	,	,	PUNCT
fuelectenerg-3307	139	21	and	and	CCONJ
fuelectenerg-3307	139	22	the	the	DET
fuelectenerg-3307	139	23	variables	variable	NOUN
fuelectenerg-3307	139	24	xc	xc	PROPN
fuelectenerg-3307	139	25	are	be	AUX
fuelectenerg-3307	139	26	commonly	commonly	ADV
fuelectenerg-3307	139	27	used	use	VERB
fuelectenerg-3307	139	28	for	for	ADP
fuelectenerg-3307	139	29	both	both	CCONJ
fuelectenerg-3307	139	30	the	the	DET
fuelectenerg-3307	139	31	decomposition	decomposition	NOUN
fuelectenerg-3307	139	32	functions	function	NOUN
fuelectenerg-3307	139	33	g	g	NOUN
fuelectenerg-3307	139	34	and	and	CCONJ
fuelectenerg-3307	139	35	h.	h.	PROPN
fuelectenerg-3307	139	36	the	the	DET
fuelectenerg-3307	139	37	more	more	ADJ
fuelectenerg-3307	139	38	variables	variable	NOUN
fuelectenerg-3307	139	39	in	in	ADP
fuelectenerg-3307	139	40	the	the	DET
fuelectenerg-3307	139	41	dedicated	dedicated	ADJ
fuelectenerg-3307	139	42	sets	set	NOUN
fuelectenerg-3307	139	43	of	of	ADP
fuelectenerg-3307	139	44	variables	variable	NOUN
fuelectenerg-3307	139	45	xa	xa	PROPN
fuelectenerg-3307	139	46	and	and	CCONJ
fuelectenerg-3307	139	47	xb	xb	X
fuelectenerg-3307	139	48	the	the	DET
fuelectenerg-3307	139	49	simpler	simple	ADJ
fuelectenerg-3307	139	50	are	be	AUX
fuelectenerg-3307	139	51	the	the	DET
fuelectenerg-3307	139	52	decomposition	decomposition	NOUN
fuelectenerg-3307	139	53	functions	function	NOUN
fuelectenerg-3307	139	54	g	g	NOUN
fuelectenerg-3307	139	55	and	and	CCONJ
fuelectenerg-3307	139	56	h.	h.	PROPN
fuelectenerg-3307	140	1	a	a	DET
fuelectenerg-3307	140	2	compact	compact	ADJ
fuelectenerg-3307	140	3	strong	strong	ADJ
fuelectenerg-3307	140	4	bi	bi	ADJ
fuelectenerg-3307	140	5	-	-	NOUN
fuelectenerg-3307	140	6	decomposition	decomposition	NOUN
fuelectenerg-3307	140	7	uses	use	VERB
fuelectenerg-3307	140	8	the	the	DET
fuelectenerg-3307	140	9	largest	large	ADJ
fuelectenerg-3307	140	10	possible	possible	ADJ
fuelectenerg-3307	140	11	sets	set	NOUN
fuelectenerg-3307	140	12	of	of	ADP
fuelectenerg-3307	140	13	xa	xa	PROPN
fuelectenerg-3307	140	14	and	and	CCONJ
fuelectenerg-3307	140	15	xb	xb	PROPN
fuelectenerg-3307	140	16	.	.	PUNCT
fuelectenerg-3307	141	1	there	there	PRON
fuelectenerg-3307	141	2	are	be	VERB
fuelectenerg-3307	141	3	formulas	formula	NOUN
fuelectenerg-3307	141	4	[	[	X
fuelectenerg-3307	141	5	3	3	NUM
fuelectenerg-3307	141	6	,	,	PUNCT
fuelectenerg-3307	141	7	4	4	NUM
fuelectenerg-3307	141	8	,	,	PUNCT
fuelectenerg-3307	141	9	10–12	10–12	NUM
fuelectenerg-3307	141	10	]	]	PUNCT
fuelectenerg-3307	141	11	containing	contain	VERB
fuelectenerg-3307	141	12	operations	operation	NOUN
fuelectenerg-3307	141	13	of	of	ADP
fuelectenerg-3307	141	14	the	the	DET
fuelectenerg-3307	141	15	boolean	boolean	ADJ
fuelectenerg-3307	141	16	differential	differential	NOUN
fuelectenerg-3307	141	17	calculus	calculus	NOUN
fuelectenerg-3307	141	18	that	that	PRON
fuelectenerg-3307	141	19	can	can	AUX
fuelectenerg-3307	141	20	be	be	AUX
fuelectenerg-3307	141	21	used	use	VERB
fuelectenerg-3307	141	22	to	to	PART
fuelectenerg-3307	141	23	decide	decide	VERB
fuelectenerg-3307	141	24	whether	whether	SCONJ
fuelectenerg-3307	141	25	a	a	DET
fuelectenerg-3307	141	26	lattice	lattice	NOUN
fuelectenerg-3307	141	27	of	of	ADP
fuelectenerg-3307	141	28	boolean	boolean	ADJ
fuelectenerg-3307	141	29	functions	function	NOUN
fuelectenerg-3307	141	30	contains	contain	VERB
fuelectenerg-3307	141	31	a	a	DET
fuelectenerg-3307	141	32	compact	compact	ADJ
fuelectenerg-3307	141	33	strong	strong	ADJ
fuelectenerg-3307	141	34	andor	andor	NOUN
fuelectenerg-3307	141	35	a	a	DET
fuelectenerg-3307	141	36	compact	compact	ADJ
fuelectenerg-3307	141	37	strong	strong	ADJ
fuelectenerg-3307	141	38	or	or	CCONJ
fuelectenerg-3307	141	39	-	-	PUNCT
fuelectenerg-3307	141	40	bi	bi	NOUN
fuelectenerg-3307	141	41	-	-	NOUN
fuelectenerg-3307	141	42	decomposition	decomposition	NOUN
fuelectenerg-3307	141	43	.	.	PUNCT
fuelectenerg-3307	142	1	unfortunately	unfortunately	ADV
fuelectenerg-3307	142	2	,	,	PUNCT
fuelectenerg-3307	142	3	so	so	ADV
fuelectenerg-3307	142	4	far	far	ADV
fuelectenerg-3307	142	5	it	it	PRON
fuelectenerg-3307	142	6	is	be	AUX
fuelectenerg-3307	142	7	only	only	ADV
fuelectenerg-3307	142	8	possible	possible	ADJ
fuelectenerg-3307	142	9	to	to	PART
fuelectenerg-3307	142	10	find	find	VERB
fuelectenerg-3307	142	11	a	a	DET
fuelectenerg-3307	142	12	compact	compact	ADJ
fuelectenerg-3307	142	13	strong	strong	ADJ
fuelectenerg-3307	142	14	xor	xor	PROPN
fuelectenerg-3307	142	15	-	-	PUNCT
fuelectenerg-3307	142	16	bi	bi	NOUN
fuelectenerg-3307	142	17	-	-	NOUN
fuelectenerg-3307	142	18	decomposition	decomposition	NOUN
fuelectenerg-3307	142	19	for	for	ADP
fuelectenerg-3307	142	20	a	a	DET
fuelectenerg-3307	142	21	single	single	ADJ
fuelectenerg-3307	142	22	decomposition	decomposition	NOUN
fuelectenerg-3307	142	23	function	function	NOUN
fuelectenerg-3307	142	24	or	or	CCONJ
fuelectenerg-3307	142	25	to	to	PART
fuelectenerg-3307	142	26	assign	assign	VERB
fuelectenerg-3307	142	27	only	only	ADV
fuelectenerg-3307	142	28	a	a	DET
fuelectenerg-3307	142	29	single	single	ADJ
fuelectenerg-3307	142	30	variable	variable	NOUN
fuelectenerg-3307	142	31	to	to	ADP
fuelectenerg-3307	142	32	the	the	DET
fuelectenerg-3307	142	33	set	set	NOUN
fuelectenerg-3307	142	34	xa	xa	PROPN
fuelectenerg-3307	142	35	for	for	ADP
fuelectenerg-3307	142	36	the	the	DET
fuelectenerg-3307	142	37	check	check	NOUN
fuelectenerg-3307	142	38	whether	whether	SCONJ
fuelectenerg-3307	142	39	a	a	DET
fuelectenerg-3307	142	40	lattice	lattice	NOUN
fuelectenerg-3307	142	41	of	of	ADP
fuelectenerg-3307	142	42	boolean	boolean	ADJ
fuelectenerg-3307	142	43	functions	function	NOUN
fuelectenerg-3307	142	44	contains	contain	VERB
fuelectenerg-3307	142	45	a	a	DET
fuelectenerg-3307	142	46	strong	strong	ADJ
fuelectenerg-3307	142	47	xorbi	xorbi	NOUN
fuelectenerg-3307	142	48	-	-	PUNCT
fuelectenerg-3307	142	49	decomposition	decomposition	NOUN
fuelectenerg-3307	142	50	[	[	X
fuelectenerg-3307	142	51	18	18	NUM
fuelectenerg-3307	142	52	]	]	PUNCT
fuelectenerg-3307	142	53	.	.	PUNCT
fuelectenerg-3307	143	1	we	we	PRON
fuelectenerg-3307	143	2	suggest	suggest	VERB
fuelectenerg-3307	143	3	in	in	ADP
fuelectenerg-3307	143	4	this	this	DET
fuelectenerg-3307	143	5	paper	paper	NOUN
fuelectenerg-3307	143	6	an	an	DET
fuelectenerg-3307	143	7	approach	approach	NOUN
fuelectenerg-3307	143	8	to	to	PART
fuelectenerg-3307	143	9	find	find	VERB
fuelectenerg-3307	143	10	also	also	ADV
fuelectenerg-3307	143	11	compact	compact	VERB
fuelectenerg-3307	143	12	strong	strong	ADJ
fuelectenerg-3307	143	13	xor	xor	PROPN
fuelectenerg-3307	143	14	-	-	PUNCT
fuelectenerg-3307	143	15	bi	bi	NOUN
fuelectenerg-3307	143	16	-	-	NOUN
fuelectenerg-3307	143	17	decompositions	decomposition	NOUN
fuelectenerg-3307	143	18	for	for	ADP
fuelectenerg-3307	143	19	a	a	DET
fuelectenerg-3307	143	20	lattice	lattice	NOUN
fuelectenerg-3307	143	21	of	of	ADP
fuelectenerg-3307	143	22	boolean	boolean	ADJ
fuelectenerg-3307	143	23	functions	function	NOUN
fuelectenerg-3307	143	24	.	.	PUNCT
fuelectenerg-3307	144	1	this	this	DET
fuelectenerg-3307	144	2	new	new	ADJ
fuelectenerg-3307	144	3	method	method	NOUN
fuelectenerg-3307	144	4	combines	combine	VERB
fuelectenerg-3307	144	5	the	the	DET
fuelectenerg-3307	144	6	ideas	idea	NOUN
fuelectenerg-3307	144	7	of	of	ADP
fuelectenerg-3307	144	8	simplifications	simplification	NOUN
fuelectenerg-3307	144	9	used	use	VERB
fuelectenerg-3307	144	10	in	in	ADP
fuelectenerg-3307	144	11	both	both	CCONJ
fuelectenerg-3307	144	12	the	the	DET
fuelectenerg-3307	144	13	strong	strong	ADJ
fuelectenerg-3307	144	14	and	and	CCONJ
fuelectenerg-3307	144	15	the	the	DET
fuelectenerg-3307	144	16	vectorial	vectorial	ADJ
fuelectenerg-3307	144	17	bidecomposition	bidecomposition	NOUN
fuelectenerg-3307	144	18	.	.	PUNCT
fuelectenerg-3307	145	1	hence	hence	ADV
fuelectenerg-3307	145	2	,	,	PUNCT
fuelectenerg-3307	145	3	we	we	PRON
fuelectenerg-3307	145	4	are	be	AUX
fuelectenerg-3307	145	5	going	go	VERB
fuelectenerg-3307	145	6	to	to	PART
fuelectenerg-3307	145	7	solve	solve	VERB
fuelectenerg-3307	145	8	a	a	DET
fuelectenerg-3307	145	9	problem	problem	NOUN
fuelectenerg-3307	145	10	that	that	PRON
fuelectenerg-3307	145	11	is	be	AUX
fuelectenerg-3307	145	12	more	more	ADJ
fuelectenerg-3307	145	13	than	than	ADP
fuelectenerg-3307	145	14	20	20	NUM
fuelectenerg-3307	145	15	years	year	NOUN
fuelectenerg-3307	145	16	known	know	VERB
fuelectenerg-3307	145	17	as	as	ADP
fuelectenerg-3307	145	18	unsolved	unsolve	VERB
fuelectenerg-3307	145	19	.	.	PUNCT
fuelectenerg-3307	146	1	the	the	DET
fuelectenerg-3307	146	2	rest	rest	NOUN
fuelectenerg-3307	146	3	of	of	ADP
fuelectenerg-3307	146	4	this	this	DET
fuelectenerg-3307	146	5	paper	paper	NOUN
fuelectenerg-3307	146	6	is	be	AUX
fuelectenerg-3307	146	7	organized	organize	VERB
fuelectenerg-3307	146	8	as	as	SCONJ
fuelectenerg-3307	146	9	follows	follow	VERB
fuelectenerg-3307	146	10	.	.	PUNCT
fuelectenerg-3307	147	1	section	section	NOUN
fuelectenerg-3307	147	2	2	2	NUM
fuelectenerg-3307	147	3	briefly	briefly	NOUN
fuelectenerg-3307	147	4	describes	describe	VERB
fuelectenerg-3307	147	5	lattices	lattice	NOUN
fuelectenerg-3307	147	6	of	of	ADP
fuelectenerg-3307	147	7	boolean	boolean	ADJ
fuelectenerg-3307	147	8	functions	function	NOUN
fuelectenerg-3307	147	9	and	and	CCONJ
fuelectenerg-3307	147	10	single	single	ADJ
fuelectenerg-3307	147	11	derivatives	derivative	NOUN
fuelectenerg-3307	147	12	of	of	ADP
fuelectenerg-3307	147	13	functions	function	NOUN
fuelectenerg-3307	147	14	belonging	belong	VERB
fuelectenerg-3307	147	15	to	to	ADP
fuelectenerg-3307	147	16	such	such	DET
fuelectenerg-3307	147	17	a	a	DET
fuelectenerg-3307	147	18	lattice	lattice	NOUN
fuelectenerg-3307	147	19	.	.	PUNCT
fuelectenerg-3307	148	1	section	section	NOUN
fuelectenerg-3307	148	2	3	3	NUM
fuelectenerg-3307	148	3	summarizes	summarize	NOUN
fuelectenerg-3307	148	4	the	the	DET
fuelectenerg-3307	148	5	known	know	VERB
fuelectenerg-3307	148	6	approach	approach	NOUN
fuelectenerg-3307	148	7	to	to	PART
fuelectenerg-3307	148	8	find	find	VERB
fuelectenerg-3307	148	9	and	and	CCONJ
fuelectenerg-3307	148	10	determine	determine	VERB
fuelectenerg-3307	148	11	noncompact	noncompact	NOUN
fuelectenerg-3307	148	12	xor	xor	PROPN
fuelectenerg-3307	148	13	-	-	PUNCT
fuelectenerg-3307	148	14	bi	bi	NOUN
fuelectenerg-3307	148	15	-	-	NOUN
fuelectenerg-3307	148	16	decompositions	decomposition	NOUN
fuelectenerg-3307	148	17	.	.	PUNCT
fuelectenerg-3307	149	1	section	section	NOUN
fuelectenerg-3307	149	2	4	4	NUM
fuelectenerg-3307	149	3	introduces	introduce	NOUN
fuelectenerg-3307	149	4	into	into	ADP
fuelectenerg-3307	149	5	the	the	DET
fuelectenerg-3307	149	6	theory	theory	NOUN
fuelectenerg-3307	149	7	of	of	ADP
fuelectenerg-3307	149	8	compact	compact	ADJ
fuelectenerg-3307	149	9	xor	xor	PROPN
fuelectenerg-3307	149	10	-	-	PUNCT
fuelectenerg-3307	149	11	bi	bi	ADJ
fuelectenerg-3307	149	12	-	-	ADJ
fuelectenerg-3307	149	13	bi	bi	NOUN
fuelectenerg-3307	149	14	-	-	NOUN
fuelectenerg-3307	149	15	decompositions	decomposition	NOUN
fuelectenerg-3307	149	16	,	,	PUNCT
fuelectenerg-3307	149	17	concludes	conclude	VERB
fuelectenerg-3307	149	18	the	the	DET
fuelectenerg-3307	149	19	main	main	ADJ
fuelectenerg-3307	149	20	theorem	theorem	NOUN
fuelectenerg-3307	149	21	and	and	CCONJ
fuelectenerg-3307	149	22	the	the	DET
fuelectenerg-3307	149	23	consequence	consequence	NOUN
fuelectenerg-3307	149	24	for	for	ADP
fuelectenerg-3307	149	25	compact	compact	ADJ
fuelectenerg-3307	149	26	xor	xor	PROPN
fuelectenerg-3307	149	27	-	-	PUNCT
fuelectenerg-3307	149	28	bi	bi	ADJ
fuelectenerg-3307	149	29	-	-	ADJ
fuelectenerg-3307	149	30	bi	bi	NOUN
fuelectenerg-3307	149	31	-	-	NOUN
fuelectenerg-3307	149	32	decompositions	decomposition	NOUN
fuelectenerg-3307	149	33	,	,	PUNCT
fuelectenerg-3307	149	34	and	and	CCONJ
fuelectenerg-3307	149	35	provides	provide	VERB
fuelectenerg-3307	149	36	two	two	NUM
fuelectenerg-3307	149	37	consecutive	consecutive	ADJ
fuelectenerg-3307	149	38	algorithms	algorithm	NOUN
fuelectenerg-3307	149	39	that	that	PRON
fuelectenerg-3307	149	40	solve	solve	VERB
fuelectenerg-3307	149	41	this	this	DET
fuelectenerg-3307	149	42	task	task	NOUN
fuelectenerg-3307	149	43	using	use	VERB
fuelectenerg-3307	149	44	xboole	xboole	PROPN
fuelectenerg-3307	150	1	[	[	X
fuelectenerg-3307	150	2	19	19	NUM
fuelectenerg-3307	150	3	,	,	PUNCT
fuelectenerg-3307	150	4	20	20	NUM
fuelectenerg-3307	150	5	]	]	PUNCT
fuelectenerg-3307	150	6	.	.	PUNCT
fuelectenerg-3307	151	1	section	section	NOUN
fuelectenerg-3307	151	2	5	5	NUM
fuelectenerg-3307	151	3	demonstrates	demonstrate	VERB
fuelectenerg-3307	151	4	the	the	DET
fuelectenerg-3307	151	5	benefits	benefit	NOUN
fuelectenerg-3307	151	6	of	of	ADP
fuelectenerg-3307	151	7	the	the	DET
fuelectenerg-3307	151	8	suggested	suggest	VERB
fuelectenerg-3307	151	9	new	new	ADJ
fuelectenerg-3307	151	10	decomposition	decomposition	NOUN
fuelectenerg-3307	151	11	method	method	NOUN
fuelectenerg-3307	151	12	by	by	ADP
fuelectenerg-3307	151	13	means	mean	NOUN
fuelectenerg-3307	151	14	of	of	ADP
fuelectenerg-3307	151	15	a	a	DET
fuelectenerg-3307	151	16	simple	simple	ADJ
fuelectenerg-3307	151	17	example	example	NOUN
fuelectenerg-3307	151	18	.	.	PUNCT
fuelectenerg-3307	152	1	section	section	NOUN
fuelectenerg-3307	152	2	6	6	NUM
fuelectenerg-3307	152	3	concludes	conclude	VERB
fuelectenerg-3307	152	4	the	the	DET
fuelectenerg-3307	152	5	paper	paper	NOUN
fuelectenerg-3307	152	6	.	.	PUNCT
fuelectenerg-3307	153	1	2	2	NUM
fuelectenerg-3307	153	2	lattices	lattice	NOUN
fuelectenerg-3307	153	3	of	of	ADP
fuelectenerg-3307	153	4	boolean	boolean	ADJ
fuelectenerg-3307	153	5	functions	function	NOUN
fuelectenerg-3307	153	6	lattices	lattice	NOUN
fuelectenerg-3307	153	7	of	of	ADP
fuelectenerg-3307	153	8	boolean	boolean	ADJ
fuelectenerg-3307	153	9	functions	function	NOUN
fuelectenerg-3307	153	10	occur	occur	VERB
fuelectenerg-3307	153	11	,	,	PUNCT
fuelectenerg-3307	153	12	e.g.	e.g.	ADV
fuelectenerg-3307	153	13	,	,	PUNCT
fuelectenerg-3307	153	14	in	in	ADP
fuelectenerg-3307	153	15	circuit	circuit	NOUN
fuelectenerg-3307	153	16	design	design	NOUN
fuelectenerg-3307	153	17	where	where	SCONJ
fuelectenerg-3307	153	18	each	each	DET
fuelectenerg-3307	153	19	function	function	NOUN
fuelectenerg-3307	153	20	of	of	ADP
fuelectenerg-3307	153	21	the	the	DET
fuelectenerg-3307	153	22	lattice	lattice	NOUN
fuelectenerg-3307	153	23	can	can	AUX
fuelectenerg-3307	153	24	be	be	AUX
fuelectenerg-3307	153	25	chosen	choose	VERB
fuelectenerg-3307	153	26	as	as	ADP
fuelectenerg-3307	153	27	a	a	DET
fuelectenerg-3307	153	28	function	function	NOUN
fuelectenerg-3307	153	29	to	to	PART
fuelectenerg-3307	153	30	realize	realize	VERB
fuelectenerg-3307	153	31	the	the	DET
fuelectenerg-3307	153	32	circuit	circuit	NOUN
fuelectenerg-3307	153	33	structure	structure	NOUN
fuelectenerg-3307	153	34	.	.	PUNCT
fuelectenerg-3307	154	1	hence	hence	ADV
fuelectenerg-3307	154	2	,	,	PUNCT
fuelectenerg-3307	154	3	lattices	lattice	NOUN
fuelectenerg-3307	154	4	of	of	ADP
fuelectenerg-3307	154	5	boolean	boolean	ADJ
fuelectenerg-3307	154	6	functions	function	NOUN
fuelectenerg-3307	154	7	provide	provide	VERB
fuelectenerg-3307	154	8	a	a	DET
fuelectenerg-3307	154	9	possibility	possibility	NOUN
fuelectenerg-3307	154	10	for	for	ADP
fuelectenerg-3307	154	11	optimization	optimization	NOUN
fuelectenerg-3307	154	12	in	in	ADP
fuelectenerg-3307	154	13	circuit	circuit	NOUN
fuelectenerg-3307	154	14	design	design	NOUN
fuelectenerg-3307	154	15	.	.	PUNCT
fuelectenerg-3307	155	1	widely	widely	ADV
fuelectenerg-3307	155	2	used	use	VERB
fuelectenerg-3307	155	3	are	be	AUX
fuelectenerg-3307	155	4	lattices	lattice	NOUN
fuelectenerg-3307	155	5	which	which	PRON
fuelectenerg-3307	155	6	can	can	AUX
fuelectenerg-3307	155	7	be	be	AUX
fuelectenerg-3307	155	8	modeled	model	VERB
fuelectenerg-3307	155	9	as	as	ADP
fuelectenerg-3307	155	10	incompletely	incompletely	ADV
fuelectenerg-3307	155	11	specified	specify	VERB
fuelectenerg-3307	155	12	function	function	NOUN
fuelectenerg-3307	155	13	(	(	PUNCT
fuelectenerg-3307	155	14	isf	isf	PROPN
fuelectenerg-3307	155	15	)	)	PUNCT
fuelectenerg-3307	155	16	.	.	PUNCT
fuelectenerg-3307	156	1	such	such	DET
fuelectenerg-3307	156	2	an	an	DET
fuelectenerg-3307	156	3	incompletely	incompletely	ADV
fuelectenerg-3307	156	4	specified	specify	VERB
fuelectenerg-3307	156	5	boolean	boolean	ADJ
fuelectenerg-3307	156	6	function	function	NOUN
fuelectenerg-3307	156	7	divides	divide	VERB
fuelectenerg-3307	156	8	the	the	DET
fuelectenerg-3307	156	9	2n	2n	NUM
fuelectenerg-3307	156	10	patterns	pattern	NOUN
fuelectenerg-3307	156	11	compact	compact	ADJ
fuelectenerg-3307	156	12	xor	xor	PROPN
fuelectenerg-3307	156	13	-	-	PUNCT
fuelectenerg-3307	156	14	bi	bi	NOUN
fuelectenerg-3307	156	15	-	-	NOUN
fuelectenerg-3307	156	16	decomposition	decomposition	NOUN
fuelectenerg-3307	156	17	for	for	ADP
fuelectenerg-3307	156	18	lattices	lattice	NOUN
fuelectenerg-3307	156	19	of	of	ADP
fuelectenerg-3307	156	20	boolean	boolean	ADJ
fuelectenerg-3307	156	21	functions	function	NOUN
fuelectenerg-3307	156	22	3	3	NUM
fuelectenerg-3307	156	23	were	be	AUX
fuelectenerg-3307	156	24	traditionally	traditionally	ADV
fuelectenerg-3307	156	25	used	use	VERB
fuelectenerg-3307	156	26	as	as	ADP
fuelectenerg-3307	156	27	a	a	DET
fuelectenerg-3307	156	28	source	source	NOUN
fuelectenerg-3307	156	29	of	of	ADP
fuelectenerg-3307	156	30	a	a	DET
fuelectenerg-3307	156	31	lattice	lattice	NOUN
fuelectenerg-3307	156	32	of	of	ADP
fuelectenerg-3307	156	33	boolean	boolean	ADJ
fuelectenerg-3307	156	34	functions	function	NOUN
fuelectenerg-3307	156	35	.	.	PUNCT
fuelectenerg-3307	157	1	the	the	DET
fuelectenerg-3307	157	2	on	on	ADP
fuelectenerg-3307	157	3	-	-	PUNCT
fuelectenerg-3307	157	4	setfunction	setfunction	NOUN
fuelectenerg-3307	157	5	fq(x	fq(x	NOUN
fuelectenerg-3307	157	6	)	)	PUNCT
fuelectenerg-3307	157	7	and	and	CCONJ
fuelectenerg-3307	157	8	the	the	DET
fuelectenerg-3307	157	9	off	off	ADV
fuelectenerg-3307	157	10	-	-	PUNCT
fuelectenerg-3307	157	11	set	set	NOUN
fuelectenerg-3307	157	12	-	-	PUNCT
fuelectenerg-3307	157	13	function	function	NOUN
fuelectenerg-3307	157	14	fr(x	fr(x	X
fuelectenerg-3307	157	15	)	)	PUNCT
fuelectenerg-3307	157	16	are	be	AUX
fuelectenerg-3307	157	17	the	the	DET
fuelectenerg-3307	157	18	preferred	prefer	VERB
fuelectenerg-3307	157	19	mark	mark	NOUN
fuelectenerg-3307	157	20	functions	function	NOUN
fuelectenerg-3307	157	21	of	of	ADP
fuelectenerg-3307	157	22	these	these	DET
fuelectenerg-3307	157	23	lattices	lattice	NOUN
fuelectenerg-3307	157	24	.	.	PUNCT
fuelectenerg-3307	158	1	the	the	DET
fuelectenerg-3307	158	2	introduction	introduction	NOUN
fuelectenerg-3307	158	3	of	of	ADP
fuelectenerg-3307	158	4	derivative	derivative	ADJ
fuelectenerg-3307	158	5	operations	operation	NOUN
fuelectenerg-3307	158	6	for	for	ADP
fuelectenerg-3307	158	7	lattices	lattice	NOUN
fuelectenerg-3307	158	8	of	of	ADP
fuelectenerg-3307	158	9	boolean	boolean	ADJ
fuelectenerg-3307	158	10	functions	function	NOUN
fuelectenerg-3307	158	11	[	[	X
fuelectenerg-3307	158	12	4	4	NUM
fuelectenerg-3307	158	13	,	,	PUNCT
fuelectenerg-3307	158	14	16	16	NUM
fuelectenerg-3307	158	15	,	,	PUNCT
fuelectenerg-3307	158	16	17	17	NUM
fuelectenerg-3307	158	17	]	]	PUNCT
fuelectenerg-3307	158	18	facilitates	facilitate	VERB
fuelectenerg-3307	158	19	the	the	DET
fuelectenerg-3307	158	20	application	application	NOUN
fuelectenerg-3307	158	21	of	of	ADP
fuelectenerg-3307	158	22	lattices	lattice	NOUN
fuelectenerg-3307	158	23	in	in	ADP
fuelectenerg-3307	158	24	circuit	circuit	NOUN
fuelectenerg-3307	158	25	design	design	NOUN
fuelectenerg-3307	158	26	.	.	PUNCT
fuelectenerg-3307	159	1	a	a	DET
fuelectenerg-3307	159	2	strong	strong	ADJ
fuelectenerg-3307	159	3	bi	bi	NOUN
fuelectenerg-3307	159	4	-	-	NOUN
fuelectenerg-3307	159	5	decomposition	decomposition	NOUN
fuelectenerg-3307	159	6	divides	divide	VERB
fuelectenerg-3307	159	7	the	the	DET
fuelectenerg-3307	159	8	variables	variable	NOUN
fuelectenerg-3307	159	9	of	of	ADP
fuelectenerg-3307	159	10	the	the	DET
fuelectenerg-3307	159	11	function	function	NOUN
fuelectenerg-3307	159	12	to	to	PART
fuelectenerg-3307	159	13	decompose	decompose	VERB
fuelectenerg-3307	159	14	into	into	ADP
fuelectenerg-3307	159	15	three	three	NUM
fuelectenerg-3307	159	16	disjoint	disjoint	ADJ
fuelectenerg-3307	159	17	subsets	subset	NOUN
fuelectenerg-3307	159	18	.	.	PUNCT
fuelectenerg-3307	160	1	the	the	DET
fuelectenerg-3307	160	2	variables	variable	NOUN
fuelectenerg-3307	160	3	xa	xa	PROPN
fuelectenerg-3307	160	4	control	control	VERB
fuelectenerg-3307	160	5	only	only	ADV
fuelectenerg-3307	160	6	the	the	DET
fuelectenerg-3307	160	7	decomposition	decomposition	NOUN
fuelectenerg-3307	160	8	function	function	NOUN
fuelectenerg-3307	160	9	g	g	NOUN
fuelectenerg-3307	160	10	,	,	PUNCT
fuelectenerg-3307	160	11	the	the	DET
fuelectenerg-3307	160	12	variables	variable	NOUN
fuelectenerg-3307	160	13	xb	xb	PROPN
fuelectenerg-3307	160	14	control	control	PROPN
fuelectenerg-3307	160	15	only	only	ADV
fuelectenerg-3307	160	16	the	the	DET
fuelectenerg-3307	160	17	decomposition	decomposition	NOUN
fuelectenerg-3307	160	18	function	function	NOUN
fuelectenerg-3307	160	19	h	h	NOUN
fuelectenerg-3307	160	20	,	,	PUNCT
fuelectenerg-3307	160	21	and	and	CCONJ
fuelectenerg-3307	160	22	the	the	DET
fuelectenerg-3307	160	23	variables	variable	NOUN
fuelectenerg-3307	160	24	xc	xc	PROPN
fuelectenerg-3307	160	25	are	be	AUX
fuelectenerg-3307	160	26	commonly	commonly	ADV
fuelectenerg-3307	160	27	used	use	VERB
fuelectenerg-3307	160	28	for	for	ADP
fuelectenerg-3307	160	29	both	both	CCONJ
fuelectenerg-3307	160	30	the	the	DET
fuelectenerg-3307	160	31	decomposition	decomposition	NOUN
fuelectenerg-3307	160	32	functions	function	NOUN
fuelectenerg-3307	160	33	g	g	NOUN
fuelectenerg-3307	160	34	and	and	CCONJ
fuelectenerg-3307	160	35	h.	h.	PROPN
fuelectenerg-3307	160	36	the	the	DET
fuelectenerg-3307	160	37	more	more	ADJ
fuelectenerg-3307	160	38	variables	variable	NOUN
fuelectenerg-3307	160	39	in	in	ADP
fuelectenerg-3307	160	40	the	the	DET
fuelectenerg-3307	160	41	dedicated	dedicated	ADJ
fuelectenerg-3307	160	42	sets	set	NOUN
fuelectenerg-3307	160	43	of	of	ADP
fuelectenerg-3307	160	44	variables	variable	NOUN
fuelectenerg-3307	160	45	xa	xa	PROPN
fuelectenerg-3307	160	46	and	and	CCONJ
fuelectenerg-3307	160	47	xb	xb	X
fuelectenerg-3307	160	48	the	the	DET
fuelectenerg-3307	160	49	simpler	simple	ADJ
fuelectenerg-3307	160	50	are	be	AUX
fuelectenerg-3307	160	51	the	the	DET
fuelectenerg-3307	160	52	decomposition	decomposition	NOUN
fuelectenerg-3307	160	53	functions	function	NOUN
fuelectenerg-3307	160	54	g	g	NOUN
fuelectenerg-3307	160	55	and	and	CCONJ
fuelectenerg-3307	160	56	h.	h.	PROPN
fuelectenerg-3307	161	1	a	a	DET
fuelectenerg-3307	161	2	compact	compact	ADJ
fuelectenerg-3307	161	3	strong	strong	ADJ
fuelectenerg-3307	161	4	bi	bi	ADJ
fuelectenerg-3307	161	5	-	-	NOUN
fuelectenerg-3307	161	6	decomposition	decomposition	NOUN
fuelectenerg-3307	161	7	uses	use	VERB
fuelectenerg-3307	161	8	the	the	DET
fuelectenerg-3307	161	9	largest	large	ADJ
fuelectenerg-3307	161	10	possible	possible	ADJ
fuelectenerg-3307	161	11	sets	set	NOUN
fuelectenerg-3307	161	12	of	of	ADP
fuelectenerg-3307	161	13	xa	xa	PROPN
fuelectenerg-3307	161	14	and	and	CCONJ
fuelectenerg-3307	161	15	xb	xb	PROPN
fuelectenerg-3307	161	16	.	.	PUNCT
fuelectenerg-3307	162	1	there	there	PRON
fuelectenerg-3307	162	2	are	be	VERB
fuelectenerg-3307	162	3	formulas	formula	NOUN
fuelectenerg-3307	162	4	[	[	X
fuelectenerg-3307	162	5	3	3	NUM
fuelectenerg-3307	162	6	,	,	PUNCT
fuelectenerg-3307	162	7	4	4	NUM
fuelectenerg-3307	162	8	,	,	PUNCT
fuelectenerg-3307	162	9	10–12	10–12	NUM
fuelectenerg-3307	162	10	]	]	PUNCT
fuelectenerg-3307	162	11	containing	contain	VERB
fuelectenerg-3307	162	12	operations	operation	NOUN
fuelectenerg-3307	162	13	of	of	ADP
fuelectenerg-3307	162	14	the	the	DET
fuelectenerg-3307	162	15	boolean	boolean	ADJ
fuelectenerg-3307	162	16	differential	differential	NOUN
fuelectenerg-3307	162	17	calculus	calculus	NOUN
fuelectenerg-3307	162	18	that	that	PRON
fuelectenerg-3307	162	19	can	can	AUX
fuelectenerg-3307	162	20	be	be	AUX
fuelectenerg-3307	162	21	used	use	VERB
fuelectenerg-3307	162	22	to	to	PART
fuelectenerg-3307	162	23	decide	decide	VERB
fuelectenerg-3307	162	24	whether	whether	SCONJ
fuelectenerg-3307	162	25	a	a	DET
fuelectenerg-3307	162	26	lattice	lattice	NOUN
fuelectenerg-3307	162	27	of	of	ADP
fuelectenerg-3307	162	28	boolean	boolean	ADJ
fuelectenerg-3307	162	29	functions	function	NOUN
fuelectenerg-3307	162	30	contains	contain	VERB
fuelectenerg-3307	162	31	a	a	DET
fuelectenerg-3307	162	32	compact	compact	ADJ
fuelectenerg-3307	162	33	strong	strong	ADJ
fuelectenerg-3307	162	34	andor	andor	NOUN
fuelectenerg-3307	162	35	a	a	DET
fuelectenerg-3307	162	36	compact	compact	ADJ
fuelectenerg-3307	162	37	strong	strong	ADJ
fuelectenerg-3307	162	38	or	or	CCONJ
fuelectenerg-3307	162	39	-	-	PUNCT
fuelectenerg-3307	162	40	bi	bi	NOUN
fuelectenerg-3307	162	41	-	-	NOUN
fuelectenerg-3307	162	42	decomposition	decomposition	NOUN
fuelectenerg-3307	162	43	.	.	PUNCT
fuelectenerg-3307	163	1	unfortunately	unfortunately	ADV
fuelectenerg-3307	163	2	,	,	PUNCT
fuelectenerg-3307	163	3	so	so	ADV
fuelectenerg-3307	163	4	far	far	ADV
fuelectenerg-3307	163	5	it	it	PRON
fuelectenerg-3307	163	6	is	be	AUX
fuelectenerg-3307	163	7	only	only	ADV
fuelectenerg-3307	163	8	possible	possible	ADJ
fuelectenerg-3307	163	9	to	to	PART
fuelectenerg-3307	163	10	find	find	VERB
fuelectenerg-3307	163	11	a	a	DET
fuelectenerg-3307	163	12	compact	compact	ADJ
fuelectenerg-3307	163	13	strong	strong	ADJ
fuelectenerg-3307	163	14	xor	xor	PROPN
fuelectenerg-3307	163	15	-	-	PUNCT
fuelectenerg-3307	163	16	bi	bi	NOUN
fuelectenerg-3307	163	17	-	-	NOUN
fuelectenerg-3307	163	18	decomposition	decomposition	NOUN
fuelectenerg-3307	163	19	for	for	ADP
fuelectenerg-3307	163	20	a	a	DET
fuelectenerg-3307	163	21	single	single	ADJ
fuelectenerg-3307	163	22	decomposition	decomposition	NOUN
fuelectenerg-3307	163	23	function	function	NOUN
fuelectenerg-3307	163	24	or	or	CCONJ
fuelectenerg-3307	163	25	to	to	PART
fuelectenerg-3307	163	26	assign	assign	VERB
fuelectenerg-3307	163	27	only	only	ADV
fuelectenerg-3307	163	28	a	a	DET
fuelectenerg-3307	163	29	single	single	ADJ
fuelectenerg-3307	163	30	variable	variable	NOUN
fuelectenerg-3307	163	31	to	to	ADP
fuelectenerg-3307	163	32	the	the	DET
fuelectenerg-3307	163	33	set	set	NOUN
fuelectenerg-3307	163	34	xa	xa	PROPN
fuelectenerg-3307	163	35	for	for	ADP
fuelectenerg-3307	163	36	the	the	DET
fuelectenerg-3307	163	37	check	check	NOUN
fuelectenerg-3307	163	38	whether	whether	SCONJ
fuelectenerg-3307	163	39	a	a	DET
fuelectenerg-3307	163	40	lattice	lattice	NOUN
fuelectenerg-3307	163	41	of	of	ADP
fuelectenerg-3307	163	42	boolean	boolean	ADJ
fuelectenerg-3307	163	43	functions	function	NOUN
fuelectenerg-3307	163	44	contains	contain	VERB
fuelectenerg-3307	163	45	a	a	DET
fuelectenerg-3307	163	46	strong	strong	ADJ
fuelectenerg-3307	163	47	xorbi	xorbi	NOUN
fuelectenerg-3307	163	48	-	-	PUNCT
fuelectenerg-3307	163	49	decomposition	decomposition	NOUN
fuelectenerg-3307	163	50	[	[	X
fuelectenerg-3307	163	51	18	18	NUM
fuelectenerg-3307	163	52	]	]	PUNCT
fuelectenerg-3307	163	53	.	.	PUNCT
fuelectenerg-3307	164	1	we	we	PRON
fuelectenerg-3307	164	2	suggest	suggest	VERB
fuelectenerg-3307	164	3	in	in	ADP
fuelectenerg-3307	164	4	this	this	DET
fuelectenerg-3307	164	5	paper	paper	NOUN
fuelectenerg-3307	164	6	an	an	DET
fuelectenerg-3307	164	7	approach	approach	NOUN
fuelectenerg-3307	164	8	to	to	PART
fuelectenerg-3307	164	9	find	find	VERB
fuelectenerg-3307	164	10	also	also	ADV
fuelectenerg-3307	164	11	compact	compact	VERB
fuelectenerg-3307	164	12	strong	strong	ADJ
fuelectenerg-3307	164	13	xor	xor	PROPN
fuelectenerg-3307	164	14	-	-	PUNCT
fuelectenerg-3307	164	15	bi	bi	NOUN
fuelectenerg-3307	164	16	-	-	NOUN
fuelectenerg-3307	164	17	decompositions	decomposition	NOUN
fuelectenerg-3307	164	18	for	for	ADP
fuelectenerg-3307	164	19	a	a	DET
fuelectenerg-3307	164	20	lattice	lattice	NOUN
fuelectenerg-3307	164	21	of	of	ADP
fuelectenerg-3307	164	22	boolean	boolean	ADJ
fuelectenerg-3307	164	23	functions	function	NOUN
fuelectenerg-3307	164	24	.	.	PUNCT
fuelectenerg-3307	165	1	this	this	DET
fuelectenerg-3307	165	2	new	new	ADJ
fuelectenerg-3307	165	3	method	method	NOUN
fuelectenerg-3307	165	4	combines	combine	VERB
fuelectenerg-3307	165	5	the	the	DET
fuelectenerg-3307	165	6	ideas	idea	NOUN
fuelectenerg-3307	165	7	of	of	ADP
fuelectenerg-3307	165	8	simplifications	simplification	NOUN
fuelectenerg-3307	165	9	used	use	VERB
fuelectenerg-3307	165	10	in	in	ADP
fuelectenerg-3307	165	11	both	both	CCONJ
fuelectenerg-3307	165	12	the	the	DET
fuelectenerg-3307	165	13	strong	strong	ADJ
fuelectenerg-3307	165	14	and	and	CCONJ
fuelectenerg-3307	165	15	the	the	DET
fuelectenerg-3307	165	16	vectorial	vectorial	ADJ
fuelectenerg-3307	165	17	bidecomposition	bidecomposition	NOUN
fuelectenerg-3307	165	18	.	.	PUNCT
fuelectenerg-3307	166	1	hence	hence	ADV
fuelectenerg-3307	166	2	,	,	PUNCT
fuelectenerg-3307	166	3	we	we	PRON
fuelectenerg-3307	166	4	are	be	AUX
fuelectenerg-3307	166	5	going	go	VERB
fuelectenerg-3307	166	6	to	to	PART
fuelectenerg-3307	166	7	solve	solve	VERB
fuelectenerg-3307	166	8	a	a	DET
fuelectenerg-3307	166	9	problem	problem	NOUN
fuelectenerg-3307	166	10	that	that	PRON
fuelectenerg-3307	166	11	is	be	AUX
fuelectenerg-3307	166	12	more	more	ADJ
fuelectenerg-3307	166	13	than	than	ADP
fuelectenerg-3307	166	14	20	20	NUM
fuelectenerg-3307	166	15	years	year	NOUN
fuelectenerg-3307	166	16	known	know	VERB
fuelectenerg-3307	166	17	as	as	ADP
fuelectenerg-3307	166	18	unsolved	unsolve	VERB
fuelectenerg-3307	166	19	.	.	PUNCT
fuelectenerg-3307	167	1	the	the	DET
fuelectenerg-3307	167	2	rest	rest	NOUN
fuelectenerg-3307	167	3	of	of	ADP
fuelectenerg-3307	167	4	this	this	DET
fuelectenerg-3307	167	5	paper	paper	NOUN
fuelectenerg-3307	167	6	is	be	AUX
fuelectenerg-3307	167	7	organized	organize	VERB
fuelectenerg-3307	167	8	as	as	SCONJ
fuelectenerg-3307	167	9	follows	follow	VERB
fuelectenerg-3307	167	10	.	.	PUNCT
fuelectenerg-3307	168	1	section	section	NOUN
fuelectenerg-3307	168	2	2	2	NUM
fuelectenerg-3307	168	3	briefly	briefly	NOUN
fuelectenerg-3307	168	4	describes	describe	VERB
fuelectenerg-3307	168	5	lattices	lattice	NOUN
fuelectenerg-3307	168	6	of	of	ADP
fuelectenerg-3307	168	7	boolean	boolean	ADJ
fuelectenerg-3307	168	8	functions	function	NOUN
fuelectenerg-3307	168	9	and	and	CCONJ
fuelectenerg-3307	168	10	single	single	ADJ
fuelectenerg-3307	168	11	derivatives	derivative	NOUN
fuelectenerg-3307	168	12	of	of	ADP
fuelectenerg-3307	168	13	functions	function	NOUN
fuelectenerg-3307	168	14	belonging	belong	VERB
fuelectenerg-3307	168	15	to	to	ADP
fuelectenerg-3307	168	16	such	such	DET
fuelectenerg-3307	168	17	a	a	DET
fuelectenerg-3307	168	18	lattice	lattice	NOUN
fuelectenerg-3307	168	19	.	.	PUNCT
fuelectenerg-3307	169	1	section	section	NOUN
fuelectenerg-3307	169	2	3	3	NUM
fuelectenerg-3307	169	3	summarizes	summarize	NOUN
fuelectenerg-3307	169	4	the	the	DET
fuelectenerg-3307	169	5	known	know	VERB
fuelectenerg-3307	169	6	approach	approach	NOUN
fuelectenerg-3307	169	7	to	to	PART
fuelectenerg-3307	169	8	find	find	VERB
fuelectenerg-3307	169	9	and	and	CCONJ
fuelectenerg-3307	169	10	determine	determine	VERB
fuelectenerg-3307	169	11	noncompact	noncompact	NOUN
fuelectenerg-3307	169	12	xor	xor	PROPN
fuelectenerg-3307	169	13	-	-	PUNCT
fuelectenerg-3307	169	14	bi	bi	NOUN
fuelectenerg-3307	169	15	-	-	NOUN
fuelectenerg-3307	169	16	decompositions	decomposition	NOUN
fuelectenerg-3307	169	17	.	.	PUNCT
fuelectenerg-3307	170	1	section	section	NOUN
fuelectenerg-3307	170	2	4	4	NUM
fuelectenerg-3307	170	3	introduces	introduce	NOUN
fuelectenerg-3307	170	4	into	into	ADP
fuelectenerg-3307	170	5	the	the	DET
fuelectenerg-3307	170	6	theory	theory	NOUN
fuelectenerg-3307	170	7	of	of	ADP
fuelectenerg-3307	170	8	compact	compact	ADJ
fuelectenerg-3307	170	9	xor	xor	PROPN
fuelectenerg-3307	170	10	-	-	PUNCT
fuelectenerg-3307	170	11	bi	bi	ADJ
fuelectenerg-3307	170	12	-	-	ADJ
fuelectenerg-3307	170	13	bi	bi	NOUN
fuelectenerg-3307	170	14	-	-	NOUN
fuelectenerg-3307	170	15	decompositions	decomposition	NOUN
fuelectenerg-3307	170	16	,	,	PUNCT
fuelectenerg-3307	170	17	concludes	conclude	VERB
fuelectenerg-3307	170	18	the	the	DET
fuelectenerg-3307	170	19	main	main	ADJ
fuelectenerg-3307	170	20	theorem	theorem	NOUN
fuelectenerg-3307	170	21	and	and	CCONJ
fuelectenerg-3307	170	22	the	the	DET
fuelectenerg-3307	170	23	consequence	consequence	NOUN
fuelectenerg-3307	170	24	for	for	ADP
fuelectenerg-3307	170	25	compact	compact	ADJ
fuelectenerg-3307	170	26	xor	xor	PROPN
fuelectenerg-3307	170	27	-	-	PUNCT
fuelectenerg-3307	170	28	bi	bi	ADJ
fuelectenerg-3307	170	29	-	-	ADJ
fuelectenerg-3307	170	30	bi	bi	NOUN
fuelectenerg-3307	170	31	-	-	NOUN
fuelectenerg-3307	170	32	decompositions	decomposition	NOUN
fuelectenerg-3307	170	33	,	,	PUNCT
fuelectenerg-3307	170	34	and	and	CCONJ
fuelectenerg-3307	170	35	provides	provide	VERB
fuelectenerg-3307	170	36	two	two	NUM
fuelectenerg-3307	170	37	consecutive	consecutive	ADJ
fuelectenerg-3307	170	38	algorithms	algorithm	NOUN
fuelectenerg-3307	170	39	that	that	PRON
fuelectenerg-3307	170	40	solve	solve	VERB
fuelectenerg-3307	170	41	this	this	DET
fuelectenerg-3307	170	42	task	task	NOUN
fuelectenerg-3307	170	43	using	use	VERB
fuelectenerg-3307	170	44	xboole	xboole	PROPN
fuelectenerg-3307	171	1	[	[	X
fuelectenerg-3307	171	2	19	19	NUM
fuelectenerg-3307	171	3	,	,	PUNCT
fuelectenerg-3307	171	4	20	20	NUM
fuelectenerg-3307	171	5	]	]	PUNCT
fuelectenerg-3307	171	6	.	.	PUNCT
fuelectenerg-3307	172	1	section	section	NOUN
fuelectenerg-3307	172	2	5	5	NUM
fuelectenerg-3307	172	3	demonstrates	demonstrate	VERB
fuelectenerg-3307	172	4	the	the	DET
fuelectenerg-3307	172	5	benefits	benefit	NOUN
fuelectenerg-3307	172	6	of	of	ADP
fuelectenerg-3307	172	7	the	the	DET
fuelectenerg-3307	172	8	suggested	suggest	VERB
fuelectenerg-3307	172	9	new	new	ADJ
fuelectenerg-3307	172	10	decomposition	decomposition	NOUN
fuelectenerg-3307	172	11	method	method	NOUN
fuelectenerg-3307	172	12	by	by	ADP
fuelectenerg-3307	172	13	means	mean	NOUN
fuelectenerg-3307	172	14	of	of	ADP
fuelectenerg-3307	172	15	a	a	DET
fuelectenerg-3307	172	16	simple	simple	ADJ
fuelectenerg-3307	172	17	example	example	NOUN
fuelectenerg-3307	172	18	.	.	PUNCT
fuelectenerg-3307	173	1	section	section	NOUN
fuelectenerg-3307	173	2	6	6	NUM
fuelectenerg-3307	173	3	concludes	conclude	VERB
fuelectenerg-3307	173	4	the	the	DET
fuelectenerg-3307	173	5	paper	paper	NOUN
fuelectenerg-3307	173	6	.	.	PUNCT
fuelectenerg-3307	174	1	2	2	NUM
fuelectenerg-3307	174	2	lattices	lattice	NOUN
fuelectenerg-3307	174	3	of	of	ADP
fuelectenerg-3307	174	4	boolean	boolean	ADJ
fuelectenerg-3307	174	5	functions	function	NOUN
fuelectenerg-3307	174	6	lattices	lattice	NOUN
fuelectenerg-3307	174	7	of	of	ADP
fuelectenerg-3307	174	8	boolean	boolean	ADJ
fuelectenerg-3307	174	9	functions	function	NOUN
fuelectenerg-3307	174	10	occur	occur	VERB
fuelectenerg-3307	174	11	,	,	PUNCT
fuelectenerg-3307	174	12	e.g.	e.g.	ADV
fuelectenerg-3307	174	13	,	,	PUNCT
fuelectenerg-3307	174	14	in	in	ADP
fuelectenerg-3307	174	15	circuit	circuit	NOUN
fuelectenerg-3307	174	16	design	design	NOUN
fuelectenerg-3307	174	17	where	where	SCONJ
fuelectenerg-3307	174	18	each	each	DET
fuelectenerg-3307	174	19	function	function	NOUN
fuelectenerg-3307	174	20	of	of	ADP
fuelectenerg-3307	174	21	the	the	DET
fuelectenerg-3307	174	22	lattice	lattice	NOUN
fuelectenerg-3307	174	23	can	can	AUX
fuelectenerg-3307	174	24	be	be	AUX
fuelectenerg-3307	174	25	chosen	choose	VERB
fuelectenerg-3307	174	26	as	as	ADP
fuelectenerg-3307	174	27	a	a	DET
fuelectenerg-3307	174	28	function	function	NOUN
fuelectenerg-3307	174	29	to	to	PART
fuelectenerg-3307	174	30	realize	realize	VERB
fuelectenerg-3307	174	31	the	the	DET
fuelectenerg-3307	174	32	circuit	circuit	NOUN
fuelectenerg-3307	174	33	structure	structure	NOUN
fuelectenerg-3307	174	34	.	.	PUNCT
fuelectenerg-3307	175	1	hence	hence	ADV
fuelectenerg-3307	175	2	,	,	PUNCT
fuelectenerg-3307	175	3	lattices	lattice	NOUN
fuelectenerg-3307	175	4	of	of	ADP
fuelectenerg-3307	175	5	boolean	boolean	ADJ
fuelectenerg-3307	175	6	functions	function	NOUN
fuelectenerg-3307	175	7	provide	provide	VERB
fuelectenerg-3307	175	8	a	a	DET
fuelectenerg-3307	175	9	possibility	possibility	NOUN
fuelectenerg-3307	175	10	for	for	ADP
fuelectenerg-3307	175	11	optimization	optimization	NOUN
fuelectenerg-3307	175	12	in	in	ADP
fuelectenerg-3307	175	13	circuit	circuit	NOUN
fuelectenerg-3307	175	14	design	design	NOUN
fuelectenerg-3307	175	15	.	.	PUNCT
fuelectenerg-3307	176	1	widely	widely	ADV
fuelectenerg-3307	176	2	used	use	VERB
fuelectenerg-3307	176	3	are	be	AUX
fuelectenerg-3307	176	4	lattices	lattice	NOUN
fuelectenerg-3307	176	5	which	which	PRON
fuelectenerg-3307	176	6	can	can	AUX
fuelectenerg-3307	176	7	be	be	AUX
fuelectenerg-3307	176	8	modeled	model	VERB
fuelectenerg-3307	176	9	as	as	ADP
fuelectenerg-3307	176	10	incompletely	incompletely	ADV
fuelectenerg-3307	176	11	specified	specify	VERB
fuelectenerg-3307	176	12	function	function	NOUN
fuelectenerg-3307	176	13	(	(	PUNCT
fuelectenerg-3307	176	14	isf	isf	PROPN
fuelectenerg-3307	176	15	)	)	PUNCT
fuelectenerg-3307	176	16	.	.	PUNCT
fuelectenerg-3307	177	1	such	such	DET
fuelectenerg-3307	177	2	an	an	DET
fuelectenerg-3307	177	3	incompletely	incompletely	ADV
fuelectenerg-3307	177	4	specified	specify	VERB
fuelectenerg-3307	177	5	boolean	boolean	ADJ
fuelectenerg-3307	177	6	function	function	NOUN
fuelectenerg-3307	177	7	divides	divide	VERB
fuelectenerg-3307	177	8	the	the	DET
fuelectenerg-3307	177	9	2n	2n	NUM
fuelectenerg-3307	177	10	patterns	pattern	NOUN
fuelectenerg-3307	177	11	224	224	NUM
fuelectenerg-3307	177	12	b.	b.	PROPN
fuelectenerg-3307	177	13	steinbach	steinbach	PROPN
fuelectenerg-3307	177	14	,	,	PUNCT
fuelectenerg-3307	177	15	c.	c.	PROPN
fuelectenerg-3307	177	16	posthoff	posthoff	PROPN
fuelectenerg-3307	177	17	compact	compact	ADJ
fuelectenerg-3307	177	18	xor	xor	PROPN
fuelectenerg-3307	177	19	-	-	PUNCT
fuelectenerg-3307	177	20	bi	bi	NOUN
fuelectenerg-3307	177	21	-	-	NOUN
fuelectenerg-3307	177	22	decomposition	decomposition	NOUN
fuelectenerg-3307	177	23	for	for	ADP
fuelectenerg-3307	177	24	lattices	lattice	NOUN
fuelectenerg-3307	177	25	of	of	ADP
fuelectenerg-3307	177	26	boolean	boolean	ADJ
fuelectenerg-3307	177	27	functions	function	NOUN
fuelectenerg-3307	177	28	225	225	NUM
fuelectenerg-3307	177	29	4	4	NUM
fuelectenerg-3307	177	30	b.	b.	NOUN
fuelectenerg-3307	177	31	steinbach	steinbach	PROPN
fuelectenerg-3307	177	32	and	and	CCONJ
fuelectenerg-3307	177	33	c.	c.	PROPN
fuelectenerg-3307	177	34	posthoff	posthoff	PROPN
fuelectenerg-3307	177	35	:	:	PUNCT
fuelectenerg-3307	177	36	x	x	X
fuelectenerg-3307	177	37	of	of	ADP
fuelectenerg-3307	177	38	the	the	DET
fuelectenerg-3307	177	39	boolean	boolean	ADJ
fuelectenerg-3307	177	40	space	space	NOUN
fuelectenerg-3307	177	41	bn	bn	NOUN
fuelectenerg-3307	177	42	into	into	ADP
fuelectenerg-3307	177	43	three	three	NUM
fuelectenerg-3307	177	44	disjoint	disjoint	NOUN
fuelectenerg-3307	177	45	sets	set	NOUN
fuelectenerg-3307	177	46	:	:	PUNCT
fuelectenerg-3307	177	47	x	x	X
fuelectenerg-3307	177	48	∈	∈	NUM
fuelectenerg-3307	177	49	don’t	don’t	NUM
fuelectenerg-3307	177	50	-	-	PUNCT
fuelectenerg-3307	177	51	care	care	NOUN
fuelectenerg-3307	177	52	-	-	PUNCT
fuelectenerg-3307	177	53	set	set	VERB
fuelectenerg-3307	177	54	⇔	⇔	PROPN
fuelectenerg-3307	177	55	fϕ(x1	fϕ(x1	NOUN
fuelectenerg-3307	177	56	,	,	PUNCT
fuelectenerg-3307	177	57	.	.	PUNCT
fuelectenerg-3307	177	58	.	.	PUNCT
fuelectenerg-3307	177	59	.	.	PUNCT
fuelectenerg-3307	178	1	,	,	PUNCT
fuelectenerg-3307	178	2	xn	xn	X
fuelectenerg-3307	178	3	)	)	PUNCT
fuelectenerg-3307	178	4	=	=	SYM
fuelectenerg-3307	178	5	1	1	NUM
fuelectenerg-3307	178	6	⇔	⇔	NOUN
fuelectenerg-3307	178	7	it	it	PRON
fuelectenerg-3307	178	8	is	be	AUX
fuelectenerg-3307	178	9	allowed	allow	VERB
fuelectenerg-3307	178	10	to	to	PART
fuelectenerg-3307	178	11	choose	choose	VERB
fuelectenerg-3307	178	12	the	the	DET
fuelectenerg-3307	178	13	function	function	NOUN
fuelectenerg-3307	178	14	value	value	NOUN
fuelectenerg-3307	178	15	of	of	ADP
fuelectenerg-3307	178	16	f	f	PROPN
fuelectenerg-3307	178	17	(	(	PUNCT
fuelectenerg-3307	178	18	x	x	X
fuelectenerg-3307	178	19	)	)	PUNCT
fuelectenerg-3307	178	20	without	without	ADP
fuelectenerg-3307	178	21	any	any	DET
fuelectenerg-3307	178	22	restrictions	restriction	NOUN
fuelectenerg-3307	178	23	;	;	PUNCT
fuelectenerg-3307	179	1	x	x	SYM
fuelectenerg-3307	179	2	∈	∈	NOUN
fuelectenerg-3307	179	3	on	on	ADP
fuelectenerg-3307	179	4	-	-	PUNCT
fuelectenerg-3307	179	5	set	set	VERB
fuelectenerg-3307	179	6	⇔	⇔	PROPN
fuelectenerg-3307	179	7	fq(x1	fq(x1	NOUN
fuelectenerg-3307	179	8	,	,	PUNCT
fuelectenerg-3307	179	9	.	.	PUNCT
fuelectenerg-3307	179	10	.	.	PUNCT
fuelectenerg-3307	179	11	.	.	PUNCT
fuelectenerg-3307	180	1	,	,	PUNCT
fuelectenerg-3307	180	2	xn	xn	X
fuelectenerg-3307	180	3	)	)	PUNCT
fuelectenerg-3307	180	4	=	=	SYM
fuelectenerg-3307	180	5	1	1	NUM
fuelectenerg-3307	180	6	⇔	⇔	X
fuelectenerg-3307	180	7	(	(	PUNCT
fuelectenerg-3307	180	8	fϕ(x1	fϕ(x1	ADJ
fuelectenerg-3307	180	9	,	,	PUNCT
fuelectenerg-3307	180	10	.	.	PUNCT
fuelectenerg-3307	180	11	.	.	PUNCT
fuelectenerg-3307	180	12	.	.	PUNCT
fuelectenerg-3307	181	1	,	,	PUNCT
fuelectenerg-3307	181	2	xn	xn	X
fuelectenerg-3307	181	3	)	)	PUNCT
fuelectenerg-3307	182	1	=	=	SYM
fuelectenerg-3307	182	2	0)∧	0)∧	PROPN
fuelectenerg-3307	182	3	(	(	PUNCT
fuelectenerg-3307	182	4	f	f	X
fuelectenerg-3307	182	5	(	(	PUNCT
fuelectenerg-3307	182	6	x1	x1	PROPN
fuelectenerg-3307	182	7	,	,	PUNCT
fuelectenerg-3307	182	8	.	.	PUNCT
fuelectenerg-3307	182	9	.	.	PUNCT
fuelectenerg-3307	182	10	.	.	PUNCT
fuelectenerg-3307	183	1	,	,	PUNCT
fuelectenerg-3307	183	2	xn	xn	X
fuelectenerg-3307	183	3	)	)	PUNCT
fuelectenerg-3307	183	4	=	=	SYM
fuelectenerg-3307	183	5	1	1	NUM
fuelectenerg-3307	183	6	)	)	PUNCT
fuelectenerg-3307	183	7	;	;	PUNCT
fuelectenerg-3307	184	1	x	x	X
fuelectenerg-3307	184	2	∈	∈	PROPN
fuelectenerg-3307	184	3	off	off	ADV
fuelectenerg-3307	184	4	-	-	PUNCT
fuelectenerg-3307	184	5	set	set	VERB
fuelectenerg-3307	184	6	⇔	⇔	PROPN
fuelectenerg-3307	184	7	fr(x1	fr(x1	NOUN
fuelectenerg-3307	184	8	,	,	PUNCT
fuelectenerg-3307	184	9	.	.	PUNCT
fuelectenerg-3307	184	10	.	.	PUNCT
fuelectenerg-3307	184	11	.	.	PUNCT
fuelectenerg-3307	185	1	,	,	PUNCT
fuelectenerg-3307	185	2	xn	xn	X
fuelectenerg-3307	185	3	)	)	PUNCT
fuelectenerg-3307	185	4	=	=	SYM
fuelectenerg-3307	185	5	1	1	NUM
fuelectenerg-3307	185	6	⇔	⇔	X
fuelectenerg-3307	185	7	(	(	PUNCT
fuelectenerg-3307	185	8	fϕ(x1	fϕ(x1	ADJ
fuelectenerg-3307	185	9	,	,	PUNCT
fuelectenerg-3307	185	10	.	.	PUNCT
fuelectenerg-3307	185	11	.	.	PUNCT
fuelectenerg-3307	185	12	.	.	PUNCT
fuelectenerg-3307	186	1	,	,	PUNCT
fuelectenerg-3307	186	2	xn	xn	X
fuelectenerg-3307	186	3	)	)	PUNCT
fuelectenerg-3307	187	1	=	=	SYM
fuelectenerg-3307	187	2	0)∧	0)∧	PROPN
fuelectenerg-3307	187	3	(	(	PUNCT
fuelectenerg-3307	187	4	f	f	X
fuelectenerg-3307	187	5	(	(	PUNCT
fuelectenerg-3307	187	6	x1	x1	PROPN
fuelectenerg-3307	187	7	,	,	PUNCT
fuelectenerg-3307	187	8	.	.	PUNCT
fuelectenerg-3307	187	9	.	.	PUNCT
fuelectenerg-3307	187	10	.	.	PUNCT
fuelectenerg-3307	188	1	,	,	PUNCT
fuelectenerg-3307	188	2	xn	xn	X
fuelectenerg-3307	188	3	)	)	PUNCT
fuelectenerg-3307	188	4	=	=	SYM
fuelectenerg-3307	188	5	0	0	NUM
fuelectenerg-3307	188	6	)	)	PUNCT
fuelectenerg-3307	188	7	.	.	PUNCT
fuelectenerg-3307	189	1	each	each	DET
fuelectenerg-3307	189	2	pair	pair	NOUN
fuelectenerg-3307	189	3	of	of	ADP
fuelectenerg-3307	189	4	these	these	DET
fuelectenerg-3307	189	5	mark	mark	NOUN
fuelectenerg-3307	189	6	functions	function	NOUN
fuelectenerg-3307	189	7	can	can	AUX
fuelectenerg-3307	189	8	be	be	AUX
fuelectenerg-3307	189	9	used	use	VERB
fuelectenerg-3307	189	10	to	to	PART
fuelectenerg-3307	189	11	specify	specify	VERB
fuelectenerg-3307	189	12	all	all	DET
fuelectenerg-3307	189	13	functions	function	NOUN
fuelectenerg-3307	189	14	of	of	ADP
fuelectenerg-3307	189	15	the	the	DET
fuelectenerg-3307	189	16	lattice	lattice	NOUN
fuelectenerg-3307	189	17	.	.	PUNCT
fuelectenerg-3307	190	1	a	a	DET
fuelectenerg-3307	190	2	function	function	NOUN
fuelectenerg-3307	190	3	f	f	X
fuelectenerg-3307	190	4	(	(	PUNCT
fuelectenerg-3307	190	5	x	x	X
fuelectenerg-3307	190	6	)	)	PUNCT
fuelectenerg-3307	190	7	belongs	belong	VERB
fuelectenerg-3307	190	8	to	to	ADP
fuelectenerg-3307	190	9	the	the	DET
fuelectenerg-3307	190	10	lattice	lattice	PROPN
fuelectenerg-3307	190	11	l	l	PROPN
fuelectenerg-3307	190	12	〈	〈	PROPN
fuelectenerg-3307	190	13	fq(x	fq(x	NOUN
fuelectenerg-3307	190	14	)	)	PUNCT
fuelectenerg-3307	190	15	,	,	PUNCT
fuelectenerg-3307	190	16	fr(x	fr(x	X
fuelectenerg-3307	190	17	)	)	PUNCT
fuelectenerg-3307	190	18	〉	〉	NOUN
fuelectenerg-3307	190	19	if	if	SCONJ
fuelectenerg-3307	190	20	fq(x)≤	fq(x)≤	PROPN
fuelectenerg-3307	190	21	f	f	PROPN
fuelectenerg-3307	190	22	(	(	PUNCT
fuelectenerg-3307	190	23	x)≤	x)≤	PROPN
fuelectenerg-3307	190	24	fr(x	fr(x	X
fuelectenerg-3307	190	25	)	)	PUNCT
fuelectenerg-3307	190	26	.	.	PUNCT
fuelectenerg-3307	191	1	the	the	DET
fuelectenerg-3307	191	2	single	single	ADJ
fuelectenerg-3307	191	3	derivatives	derivative	NOUN
fuelectenerg-3307	191	4	with	with	ADP
fuelectenerg-3307	191	5	regard	regard	NOUN
fuelectenerg-3307	191	6	to	to	ADP
fuelectenerg-3307	191	7	xi	xi	PROPN
fuelectenerg-3307	191	8	of	of	ADP
fuelectenerg-3307	191	9	all	all	DET
fuelectenerg-3307	191	10	functions	function	NOUN
fuelectenerg-3307	191	11	of	of	ADP
fuelectenerg-3307	191	12	a	a	DET
fuelectenerg-3307	191	13	lattice	lattice	ADJ
fuelectenerg-3307	191	14	l	l	NOUN
fuelectenerg-3307	191	15	〈	〈	PROPN
fuelectenerg-3307	191	16	fq(x	fq(x	NOUN
fuelectenerg-3307	191	17	)	)	PUNCT
fuelectenerg-3307	191	18	,	,	PUNCT
fuelectenerg-3307	191	19	fr(x	fr(x	X
fuelectenerg-3307	191	20	)	)	PUNCT
fuelectenerg-3307	191	21	〉	〉	NOUN
fuelectenerg-3307	191	22	results	result	VERB
fuelectenerg-3307	191	23	again	again	ADV
fuelectenerg-3307	191	24	in	in	ADP
fuelectenerg-3307	191	25	a	a	DET
fuelectenerg-3307	191	26	lattice	lattice	NOUN
fuelectenerg-3307	191	27	of	of	ADP
fuelectenerg-3307	191	28	boolean	boolean	ADJ
fuelectenerg-3307	191	29	function	function	NOUN
fuelectenerg-3307	191	30	that	that	PRON
fuelectenerg-3307	191	31	is	be	AUX
fuelectenerg-3307	191	32	specified	specify	VERB
fuelectenerg-3307	191	33	by	by	ADP
fuelectenerg-3307	191	34	the	the	DET
fuelectenerg-3307	191	35	mark	mark	NOUN
fuelectenerg-3307	191	36	functions	function	NOUN
fuelectenerg-3307	191	37	:	:	PUNCT
fuelectenerg-3307	191	38	f	f	PROPN
fuelectenerg-3307	191	39	∂xi	∂xi	PROPN
fuelectenerg-3307	191	40	q	q	PROPN
fuelectenerg-3307	191	41	(	(	PUNCT
fuelectenerg-3307	191	42	x1	x1	PROPN
fuelectenerg-3307	191	43	)	)	PUNCT
fuelectenerg-3307	191	44	=	=	SYM
fuelectenerg-3307	191	45	max	max	PROPN
fuelectenerg-3307	191	46	xi	xi	PROPN
fuelectenerg-3307	191	47	fq(xi	fq(xi	PROPN
fuelectenerg-3307	191	48	,	,	PUNCT
fuelectenerg-3307	191	49	x1)∧max	x1)∧max	PROPN
fuelectenerg-3307	191	50	xi	xi	X
fuelectenerg-3307	191	51	fr(xi	fr(xi	PROPN
fuelectenerg-3307	191	52	,	,	PUNCT
fuelectenerg-3307	191	53	x1	x1	PROPN
fuelectenerg-3307	191	54	)	)	PUNCT
fuelectenerg-3307	191	55	,	,	PUNCT
fuelectenerg-3307	191	56	(	(	PUNCT
fuelectenerg-3307	191	57	1	1	X
fuelectenerg-3307	191	58	)	)	PUNCT
fuelectenerg-3307	191	59	f	f	PROPN
fuelectenerg-3307	191	60	∂xi	∂xi	PROPN
fuelectenerg-3307	191	61	r	r	NOUN
fuelectenerg-3307	191	62	(	(	PUNCT
fuelectenerg-3307	191	63	x1	x1	PROPN
fuelectenerg-3307	191	64	)	)	PUNCT
fuelectenerg-3307	191	65	=	=	SYM
fuelectenerg-3307	191	66	min	min	PROPN
fuelectenerg-3307	191	67	xi	xi	PROPN
fuelectenerg-3307	191	68	fq(xi	fq(xi	PROPN
fuelectenerg-3307	191	69	,	,	PUNCT
fuelectenerg-3307	191	70	x1)∨min	x1)∨min	PROPN
fuelectenerg-3307	191	71	xi	xi	X
fuelectenerg-3307	191	72	fr(xi	fr(xi	PROPN
fuelectenerg-3307	191	73	,	,	PUNCT
fuelectenerg-3307	191	74	x1	x1	NUM
fuelectenerg-3307	191	75	)	)	PUNCT
fuelectenerg-3307	191	76	.	.	PUNCT
fuelectenerg-3307	192	1	(	(	PUNCT
fuelectenerg-3307	192	2	2	2	X
fuelectenerg-3307	192	3	)	)	PUNCT
fuelectenerg-3307	192	4	3	3	NUM
fuelectenerg-3307	192	5	known	know	VERB
fuelectenerg-3307	192	6	non	non	ADJ
fuelectenerg-3307	192	7	-	-	ADJ
fuelectenerg-3307	192	8	compact	compact	ADJ
fuelectenerg-3307	192	9	xor	xor	PROPN
fuelectenerg-3307	192	10	-	-	PUNCT
fuelectenerg-3307	192	11	bi	bi	NOUN
fuelectenerg-3307	192	12	-	-	NOUN
fuelectenerg-3307	192	13	decompositions	decomposition	NOUN
fuelectenerg-3307	192	14	for	for	ADP
fuelectenerg-3307	192	15	lattices	lattice	NOUN
fuelectenerg-3307	192	16	of	of	ADP
fuelectenerg-3307	192	17	boolean	boolean	ADJ
fuelectenerg-3307	192	18	functions	function	NOUN
fuelectenerg-3307	192	19	a	a	DET
fuelectenerg-3307	192	20	lattice	lattice	NOUN
fuelectenerg-3307	192	21	of	of	ADP
fuelectenerg-3307	192	22	boolean	boolean	ADJ
fuelectenerg-3307	192	23	functions	function	NOUN
fuelectenerg-3307	192	24	l	l	NOUN
fuelectenerg-3307	192	25	〈	〈	PROPN
fuelectenerg-3307	192	26	fq(xa	fq(xa	PROPN
fuelectenerg-3307	192	27	,	,	PUNCT
fuelectenerg-3307	192	28	xb	xb	PROPN
fuelectenerg-3307	192	29	,	,	PUNCT
fuelectenerg-3307	192	30	xc	xc	PROPN
fuelectenerg-3307	192	31	)	)	PUNCT
fuelectenerg-3307	192	32	,	,	PUNCT
fuelectenerg-3307	192	33	fr(xa	fr(xa	PROPN
fuelectenerg-3307	192	34	,	,	PUNCT
fuelectenerg-3307	192	35	xb	xb	PROPN
fuelectenerg-3307	192	36	,	,	PUNCT
fuelectenerg-3307	192	37	xc	xc	PROPN
fuelectenerg-3307	192	38	)	)	PUNCT
fuelectenerg-3307	192	39	〉	〉	NOUN
fuelectenerg-3307	192	40	contains	contain	VERB
fuelectenerg-3307	192	41	at	at	ADV
fuelectenerg-3307	192	42	least	least	ADV
fuelectenerg-3307	192	43	one	one	NUM
fuelectenerg-3307	192	44	function	function	NOUN
fuelectenerg-3307	192	45	f	f	PROPN
fuelectenerg-3307	192	46	(	(	PUNCT
fuelectenerg-3307	192	47	xa	xa	PROPN
fuelectenerg-3307	192	48	,	,	PUNCT
fuelectenerg-3307	192	49	xb	xb	PROPN
fuelectenerg-3307	192	50	,	,	PUNCT
fuelectenerg-3307	192	51	xc	xc	PROPN
fuelectenerg-3307	192	52	)	)	PUNCT
fuelectenerg-3307	192	53	that	that	PRON
fuelectenerg-3307	192	54	is	be	AUX
fuelectenerg-3307	192	55	strongly	strongly	ADV
fuelectenerg-3307	192	56	xor	xor	PROPN
fuelectenerg-3307	192	57	-	-	PUNCT
fuelectenerg-3307	192	58	bi	bi	NOUN
fuelectenerg-3307	192	59	-	-	ADJ
fuelectenerg-3307	192	60	decomposable	decomposable	ADJ
fuelectenerg-3307	192	61	with	with	ADP
fuelectenerg-3307	192	62	regard	regard	NOUN
fuelectenerg-3307	192	63	to	to	ADP
fuelectenerg-3307	192	64	the	the	DET
fuelectenerg-3307	192	65	single	single	ADJ
fuelectenerg-3307	192	66	variable	variable	NOUN
fuelectenerg-3307	192	67	xa	xa	PROPN
fuelectenerg-3307	192	68	and	and	CCONJ
fuelectenerg-3307	192	69	the	the	DET
fuelectenerg-3307	192	70	set	set	NOUN
fuelectenerg-3307	192	71	of	of	ADP
fuelectenerg-3307	192	72	variables	variable	NOUN
fuelectenerg-3307	192	73	xb	xb	X
fuelectenerg-3307	193	1	if	if	SCONJ
fuelectenerg-3307	193	2	and	and	CCONJ
fuelectenerg-3307	193	3	only	only	ADV
fuelectenerg-3307	194	1	if	if	SCONJ
fuelectenerg-3307	194	2	max	max	PROPN
fuelectenerg-3307	194	3	xb	xb	PROPN
fuelectenerg-3307	194	4	m	m	PROPN
fuelectenerg-3307	194	5	f	f	PROPN
fuelectenerg-3307	194	6	∂xa	∂xa	PROPN
fuelectenerg-3307	194	7	q	q	PROPN
fuelectenerg-3307	194	8	(	(	PUNCT
fuelectenerg-3307	194	9	xb	xb	PROPN
fuelectenerg-3307	194	10	,	,	PUNCT
fuelectenerg-3307	194	11	xc)∧	xc)∧	PROPN
fuelectenerg-3307	194	12	f	f	PROPN
fuelectenerg-3307	194	13	∂xa	∂xa	PROPN
fuelectenerg-3307	194	14	r	r	NOUN
fuelectenerg-3307	194	15	(	(	PUNCT
fuelectenerg-3307	194	16	xb	xb	PROPN
fuelectenerg-3307	194	17	,	,	PUNCT
fuelectenerg-3307	194	18	xc	xc	PROPN
fuelectenerg-3307	194	19	)	)	PUNCT
fuelectenerg-3307	194	20	=	=	SYM
fuelectenerg-3307	194	21	0	0	X
fuelectenerg-3307	194	22	.	.	PUNCT
fuelectenerg-3307	195	1	(	(	PUNCT
fuelectenerg-3307	195	2	3	3	X
fuelectenerg-3307	195	3	)	)	PUNCT
fuelectenerg-3307	195	4	the	the	DET
fuelectenerg-3307	195	5	decomposition	decomposition	NOUN
fuelectenerg-3307	195	6	function	function	NOUN
fuelectenerg-3307	195	7	g(xa	g(xa	PROPN
fuelectenerg-3307	195	8	,	,	PUNCT
fuelectenerg-3307	195	9	xc	xc	PROPN
fuelectenerg-3307	195	10	)	)	PUNCT
fuelectenerg-3307	195	11	of	of	ADP
fuelectenerg-3307	195	12	this	this	PRON
fuelectenerg-3307	195	13	xor	xor	PROPN
fuelectenerg-3307	195	14	-	-	PUNCT
fuelectenerg-3307	195	15	bi	bi	NOUN
fuelectenerg-3307	195	16	-	-	NOUN
fuelectenerg-3307	195	17	decomposition	decomposition	NOUN
fuelectenerg-3307	195	18	is	be	AUX
fuelectenerg-3307	195	19	uniquely	uniquely	ADV
fuelectenerg-3307	195	20	specified	specify	VERB
fuelectenerg-3307	195	21	by	by	ADP
fuelectenerg-3307	195	22	g(xa	g(xa	PROPN
fuelectenerg-3307	195	23	,	,	PUNCT
fuelectenerg-3307	195	24	xc	xc	X
fuelectenerg-3307	195	25	)	)	PUNCT
fuelectenerg-3307	195	26	=	=	PUNCT
fuelectenerg-3307	196	1	xa	xa	PROPN
fuelectenerg-3307	196	2	∧max	∧max	PROPN
fuelectenerg-3307	196	3	xb	xb	PROPN
fuelectenerg-3307	196	4	m	m	PROPN
fuelectenerg-3307	196	5	f	f	PROPN
fuelectenerg-3307	196	6	∂xa	∂xa	PROPN
fuelectenerg-3307	196	7	q	q	PROPN
fuelectenerg-3307	196	8	(	(	PUNCT
fuelectenerg-3307	196	9	xb	xb	PROPN
fuelectenerg-3307	196	10	,	,	PUNCT
fuelectenerg-3307	196	11	xc	xc	PROPN
fuelectenerg-3307	196	12	)	)	PUNCT
fuelectenerg-3307	196	13	,	,	PUNCT
fuelectenerg-3307	196	14	(	(	PUNCT
fuelectenerg-3307	196	15	4	4	NUM
fuelectenerg-3307	196	16	)	)	PUNCT
fuelectenerg-3307	196	17	and	and	CCONJ
fuelectenerg-3307	196	18	the	the	DET
fuelectenerg-3307	196	19	associated	associated	ADJ
fuelectenerg-3307	196	20	decomposition	decomposition	NOUN
fuelectenerg-3307	196	21	function	function	NOUN
fuelectenerg-3307	196	22	h(xb	h(xb	PROPN
fuelectenerg-3307	196	23	,	,	PUNCT
fuelectenerg-3307	196	24	xc	xc	NOUN
fuelectenerg-3307	196	25	)	)	PUNCT
fuelectenerg-3307	196	26	can	can	AUX
fuelectenerg-3307	196	27	be	be	AUX
fuelectenerg-3307	196	28	chosen	choose	VERB
fuelectenerg-3307	196	29	from	from	ADP
fuelectenerg-3307	196	30	the	the	DET
fuelectenerg-3307	196	31	lattice	lattice	NOUN
fuelectenerg-3307	196	32	with	with	ADP
fuelectenerg-3307	196	33	the	the	DET
fuelectenerg-3307	196	34	mark	mark	PROPN
fuelectenerg-3307	196	35	functions	functions	PROPN
fuelectenerg-3307	196	36	hq(xb	hq(xb	PROPN
fuelectenerg-3307	196	37	,	,	PUNCT
fuelectenerg-3307	196	38	xc	xc	PROPN
fuelectenerg-3307	196	39	)	)	PUNCT
fuelectenerg-3307	197	1	=	=	SYM
fuelectenerg-3307	197	2	max	max	PROPN
fuelectenerg-3307	197	3	xa	xa	PROPN
fuelectenerg-3307	197	4	(	(	PUNCT
fuelectenerg-3307	197	5	(	(	PUNCT
fuelectenerg-3307	197	6	g(xa	g(xa	PROPN
fuelectenerg-3307	197	7	,	,	PUNCT
fuelectenerg-3307	197	8	xc)∧	xc)∧	PROPN
fuelectenerg-3307	197	9	fq(xa	fq(xa	PROPN
fuelectenerg-3307	197	10	,	,	PUNCT
fuelectenerg-3307	197	11	xb	xb	PROPN
fuelectenerg-3307	197	12	,	,	PUNCT
fuelectenerg-3307	197	13	xc))∨	xc))∨	PROPN
fuelectenerg-3307	197	14	(	(	PUNCT
fuelectenerg-3307	197	15	g(xa	g(xa	PROPN
fuelectenerg-3307	197	16	,	,	PUNCT
fuelectenerg-3307	197	17	xc)∧	xc)∧	PROPN
fuelectenerg-3307	197	18	fr(xa	fr(xa	PROPN
fuelectenerg-3307	197	19	,	,	PUNCT
fuelectenerg-3307	197	20	xb	xb	PROPN
fuelectenerg-3307	197	21	,	,	PUNCT
fuelectenerg-3307	197	22	xc	xc	PROPN
fuelectenerg-3307	197	23	)	)	PUNCT
fuelectenerg-3307	197	24	)	)	PUNCT
fuelectenerg-3307	197	25	)	)	PUNCT
fuelectenerg-3307	197	26	,	,	PUNCT
fuelectenerg-3307	197	27	(	(	PUNCT
fuelectenerg-3307	197	28	5	5	X
fuelectenerg-3307	197	29	)	)	PUNCT
fuelectenerg-3307	197	30	hr(xb	hr(xb	NOUN
fuelectenerg-3307	197	31	,	,	PUNCT
fuelectenerg-3307	197	32	xc	xc	X
fuelectenerg-3307	197	33	)	)	PUNCT
fuelectenerg-3307	197	34	=	=	SYM
fuelectenerg-3307	197	35	max	max	PROPN
fuelectenerg-3307	197	36	xa	xa	PROPN
fuelectenerg-3307	197	37	(	(	PUNCT
fuelectenerg-3307	197	38	(	(	PUNCT
fuelectenerg-3307	197	39	g(xa	g(xa	PROPN
fuelectenerg-3307	197	40	,	,	PUNCT
fuelectenerg-3307	197	41	xc)∧	xc)∧	PROPN
fuelectenerg-3307	197	42	fr(xa	fr(xa	PROPN
fuelectenerg-3307	197	43	,	,	PUNCT
fuelectenerg-3307	197	44	xb	xb	PROPN
fuelectenerg-3307	197	45	,	,	PUNCT
fuelectenerg-3307	197	46	xc))∨	xc))∨	PROPN
fuelectenerg-3307	197	47	(	(	PUNCT
fuelectenerg-3307	197	48	g(xa	g(xa	PROPN
fuelectenerg-3307	197	49	,	,	PUNCT
fuelectenerg-3307	197	50	xc)∧	xc)∧	PROPN
fuelectenerg-3307	197	51	fq(xa	fq(xa	PROPN
fuelectenerg-3307	197	52	,	,	PUNCT
fuelectenerg-3307	197	53	xb	xb	PROPN
fuelectenerg-3307	197	54	,	,	PUNCT
fuelectenerg-3307	197	55	xc	xc	PROPN
fuelectenerg-3307	197	56	)	)	PUNCT
fuelectenerg-3307	197	57	)	)	PUNCT
fuelectenerg-3307	197	58	)	)	PUNCT
fuelectenerg-3307	197	59	.	.	PUNCT
fuelectenerg-3307	198	1	(	(	PUNCT
fuelectenerg-3307	198	2	6	6	X
fuelectenerg-3307	198	3	)	)	PUNCT
fuelectenerg-3307	198	4	more	more	ADJ
fuelectenerg-3307	198	5	details	detail	NOUN
fuelectenerg-3307	198	6	about	about	ADP
fuelectenerg-3307	198	7	strong	strong	ADJ
fuelectenerg-3307	198	8	and	and	CCONJ
fuelectenerg-3307	198	9	weak	weak	ADJ
fuelectenerg-3307	198	10	bi	bi	NOUN
fuelectenerg-3307	198	11	-	-	NOUN
fuelectenerg-3307	198	12	decompositions	decomposition	NOUN
fuelectenerg-3307	198	13	are	be	AUX
fuelectenerg-3307	198	14	given	give	VERB
fuelectenerg-3307	198	15	in	in	ADP
fuelectenerg-3307	198	16	[	[	X
fuelectenerg-3307	198	17	3	3	NUM
fuelectenerg-3307	198	18	,	,	PUNCT
fuelectenerg-3307	198	19	4	4	NUM
fuelectenerg-3307	198	20	,	,	PUNCT
fuelectenerg-3307	198	21	10	10	NUM
fuelectenerg-3307	198	22	,	,	PUNCT
fuelectenerg-3307	198	23	11	11	NUM
fuelectenerg-3307	198	24	]	]	PUNCT
fuelectenerg-3307	198	25	.	.	PUNCT
fuelectenerg-3307	199	1	226	226	NUM
fuelectenerg-3307	199	2	b.	b.	PROPN
fuelectenerg-3307	199	3	steinbach	steinbach	PROPN
fuelectenerg-3307	199	4	,	,	PUNCT
fuelectenerg-3307	199	5	c.	c.	PROPN
fuelectenerg-3307	199	6	posthoff	posthoff	PROPN
fuelectenerg-3307	199	7	compact	compact	ADJ
fuelectenerg-3307	199	8	xor	xor	PROPN
fuelectenerg-3307	199	9	-	-	PUNCT
fuelectenerg-3307	199	10	bi	bi	NOUN
fuelectenerg-3307	199	11	-	-	NOUN
fuelectenerg-3307	199	12	decomposition	decomposition	NOUN
fuelectenerg-3307	199	13	for	for	ADP
fuelectenerg-3307	199	14	lattices	lattice	NOUN
fuelectenerg-3307	199	15	of	of	ADP
fuelectenerg-3307	199	16	boolean	boolean	ADJ
fuelectenerg-3307	199	17	functions	function	NOUN
fuelectenerg-3307	199	18	227	227	NUM
fuelectenerg-3307	199	19	4	4	NUM
fuelectenerg-3307	199	20	b.	b.	NOUN
fuelectenerg-3307	199	21	steinbach	steinbach	PROPN
fuelectenerg-3307	199	22	and	and	CCONJ
fuelectenerg-3307	199	23	c.	c.	PROPN
fuelectenerg-3307	199	24	posthoff	posthoff	PROPN
fuelectenerg-3307	199	25	:	:	PUNCT
fuelectenerg-3307	199	26	x	x	X
fuelectenerg-3307	199	27	of	of	ADP
fuelectenerg-3307	199	28	the	the	DET
fuelectenerg-3307	199	29	boolean	boolean	ADJ
fuelectenerg-3307	199	30	space	space	NOUN
fuelectenerg-3307	199	31	bn	bn	NOUN
fuelectenerg-3307	199	32	into	into	ADP
fuelectenerg-3307	199	33	three	three	NUM
fuelectenerg-3307	199	34	disjoint	disjoint	NOUN
fuelectenerg-3307	199	35	sets	set	NOUN
fuelectenerg-3307	199	36	:	:	PUNCT
fuelectenerg-3307	199	37	x	x	X
fuelectenerg-3307	199	38	∈	∈	NUM
fuelectenerg-3307	199	39	don’t	don’t	NUM
fuelectenerg-3307	199	40	-	-	PUNCT
fuelectenerg-3307	199	41	care	care	NOUN
fuelectenerg-3307	199	42	-	-	PUNCT
fuelectenerg-3307	199	43	set	set	VERB
fuelectenerg-3307	199	44	⇔	⇔	PROPN
fuelectenerg-3307	199	45	fϕ(x1	fϕ(x1	NOUN
fuelectenerg-3307	199	46	,	,	PUNCT
fuelectenerg-3307	199	47	.	.	PUNCT
fuelectenerg-3307	199	48	.	.	PUNCT
fuelectenerg-3307	199	49	.	.	PUNCT
fuelectenerg-3307	199	50	,	,	PUNCT
fuelectenerg-3307	199	51	xn	xn	X
fuelectenerg-3307	199	52	)	)	PUNCT
fuelectenerg-3307	199	53	=	=	SYM
fuelectenerg-3307	199	54	1	1	NUM
fuelectenerg-3307	199	55	⇔	⇔	NOUN
fuelectenerg-3307	199	56	it	it	PRON
fuelectenerg-3307	199	57	is	be	AUX
fuelectenerg-3307	199	58	allowed	allow	VERB
fuelectenerg-3307	199	59	to	to	PART
fuelectenerg-3307	199	60	choose	choose	VERB
fuelectenerg-3307	199	61	the	the	DET
fuelectenerg-3307	199	62	function	function	NOUN
fuelectenerg-3307	199	63	value	value	NOUN
fuelectenerg-3307	199	64	of	of	ADP
fuelectenerg-3307	199	65	f	f	PROPN
fuelectenerg-3307	199	66	(	(	PUNCT
fuelectenerg-3307	199	67	x	x	X
fuelectenerg-3307	199	68	)	)	PUNCT
fuelectenerg-3307	199	69	without	without	ADP
fuelectenerg-3307	199	70	any	any	DET
fuelectenerg-3307	199	71	restrictions	restriction	NOUN
fuelectenerg-3307	199	72	;	;	PUNCT
fuelectenerg-3307	199	73	x	x	SYM
fuelectenerg-3307	199	74	∈	∈	NOUN
fuelectenerg-3307	199	75	on	on	ADP
fuelectenerg-3307	199	76	-	-	PUNCT
fuelectenerg-3307	199	77	set	set	VERB
fuelectenerg-3307	199	78	⇔	⇔	PROPN
fuelectenerg-3307	199	79	fq(x1	fq(x1	NOUN
fuelectenerg-3307	199	80	,	,	PUNCT
fuelectenerg-3307	199	81	.	.	PUNCT
fuelectenerg-3307	199	82	.	.	PUNCT
fuelectenerg-3307	199	83	.	.	PUNCT
fuelectenerg-3307	200	1	,	,	PUNCT
fuelectenerg-3307	200	2	xn	xn	X
fuelectenerg-3307	200	3	)	)	PUNCT
fuelectenerg-3307	200	4	=	=	SYM
fuelectenerg-3307	200	5	1	1	NUM
fuelectenerg-3307	200	6	⇔	⇔	X
fuelectenerg-3307	200	7	(	(	PUNCT
fuelectenerg-3307	200	8	fϕ(x1	fϕ(x1	ADJ
fuelectenerg-3307	200	9	,	,	PUNCT
fuelectenerg-3307	200	10	.	.	PUNCT
fuelectenerg-3307	200	11	.	.	PUNCT
fuelectenerg-3307	200	12	.	.	PUNCT
fuelectenerg-3307	201	1	,	,	PUNCT
fuelectenerg-3307	201	2	xn	xn	X
fuelectenerg-3307	201	3	)	)	PUNCT
fuelectenerg-3307	202	1	=	=	SYM
fuelectenerg-3307	202	2	0)∧	0)∧	PROPN
fuelectenerg-3307	202	3	(	(	PUNCT
fuelectenerg-3307	202	4	f	f	X
fuelectenerg-3307	202	5	(	(	PUNCT
fuelectenerg-3307	202	6	x1	x1	PROPN
fuelectenerg-3307	202	7	,	,	PUNCT
fuelectenerg-3307	202	8	.	.	PUNCT
fuelectenerg-3307	202	9	.	.	PUNCT
fuelectenerg-3307	202	10	.	.	PUNCT
fuelectenerg-3307	203	1	,	,	PUNCT
fuelectenerg-3307	203	2	xn	xn	X
fuelectenerg-3307	203	3	)	)	PUNCT
fuelectenerg-3307	203	4	=	=	SYM
fuelectenerg-3307	203	5	1	1	NUM
fuelectenerg-3307	203	6	)	)	PUNCT
fuelectenerg-3307	203	7	;	;	PUNCT
fuelectenerg-3307	204	1	x	x	X
fuelectenerg-3307	204	2	∈	∈	PROPN
fuelectenerg-3307	204	3	off	off	ADV
fuelectenerg-3307	204	4	-	-	PUNCT
fuelectenerg-3307	204	5	set	set	VERB
fuelectenerg-3307	204	6	⇔	⇔	PROPN
fuelectenerg-3307	204	7	fr(x1	fr(x1	NOUN
fuelectenerg-3307	204	8	,	,	PUNCT
fuelectenerg-3307	204	9	.	.	PUNCT
fuelectenerg-3307	204	10	.	.	PUNCT
fuelectenerg-3307	204	11	.	.	PUNCT
fuelectenerg-3307	205	1	,	,	PUNCT
fuelectenerg-3307	205	2	xn	xn	X
fuelectenerg-3307	205	3	)	)	PUNCT
fuelectenerg-3307	205	4	=	=	SYM
fuelectenerg-3307	205	5	1	1	NUM
fuelectenerg-3307	205	6	⇔	⇔	X
fuelectenerg-3307	205	7	(	(	PUNCT
fuelectenerg-3307	205	8	fϕ(x1	fϕ(x1	ADJ
fuelectenerg-3307	205	9	,	,	PUNCT
fuelectenerg-3307	205	10	.	.	PUNCT
fuelectenerg-3307	205	11	.	.	PUNCT
fuelectenerg-3307	205	12	.	.	PUNCT
fuelectenerg-3307	206	1	,	,	PUNCT
fuelectenerg-3307	206	2	xn	xn	X
fuelectenerg-3307	206	3	)	)	PUNCT
fuelectenerg-3307	207	1	=	=	SYM
fuelectenerg-3307	207	2	0)∧	0)∧	PROPN
fuelectenerg-3307	207	3	(	(	PUNCT
fuelectenerg-3307	207	4	f	f	X
fuelectenerg-3307	207	5	(	(	PUNCT
fuelectenerg-3307	207	6	x1	x1	PROPN
fuelectenerg-3307	207	7	,	,	PUNCT
fuelectenerg-3307	207	8	.	.	PUNCT
fuelectenerg-3307	207	9	.	.	PUNCT
fuelectenerg-3307	207	10	.	.	PUNCT
fuelectenerg-3307	208	1	,	,	PUNCT
fuelectenerg-3307	208	2	xn	xn	X
fuelectenerg-3307	208	3	)	)	PUNCT
fuelectenerg-3307	208	4	=	=	SYM
fuelectenerg-3307	208	5	0	0	NUM
fuelectenerg-3307	208	6	)	)	PUNCT
fuelectenerg-3307	208	7	.	.	PUNCT
fuelectenerg-3307	209	1	each	each	DET
fuelectenerg-3307	209	2	pair	pair	NOUN
fuelectenerg-3307	209	3	of	of	ADP
fuelectenerg-3307	209	4	these	these	DET
fuelectenerg-3307	209	5	mark	mark	NOUN
fuelectenerg-3307	209	6	functions	function	NOUN
fuelectenerg-3307	209	7	can	can	AUX
fuelectenerg-3307	209	8	be	be	AUX
fuelectenerg-3307	209	9	used	use	VERB
fuelectenerg-3307	209	10	to	to	PART
fuelectenerg-3307	209	11	specify	specify	VERB
fuelectenerg-3307	209	12	all	all	DET
fuelectenerg-3307	209	13	functions	function	NOUN
fuelectenerg-3307	209	14	of	of	ADP
fuelectenerg-3307	209	15	the	the	DET
fuelectenerg-3307	209	16	lattice	lattice	NOUN
fuelectenerg-3307	209	17	.	.	PUNCT
fuelectenerg-3307	210	1	a	a	DET
fuelectenerg-3307	210	2	function	function	NOUN
fuelectenerg-3307	210	3	f	f	X
fuelectenerg-3307	210	4	(	(	PUNCT
fuelectenerg-3307	210	5	x	x	X
fuelectenerg-3307	210	6	)	)	PUNCT
fuelectenerg-3307	210	7	belongs	belong	VERB
fuelectenerg-3307	210	8	to	to	ADP
fuelectenerg-3307	210	9	the	the	DET
fuelectenerg-3307	210	10	lattice	lattice	PROPN
fuelectenerg-3307	210	11	l	l	PROPN
fuelectenerg-3307	210	12	〈	〈	PROPN
fuelectenerg-3307	210	13	fq(x	fq(x	NOUN
fuelectenerg-3307	210	14	)	)	PUNCT
fuelectenerg-3307	210	15	,	,	PUNCT
fuelectenerg-3307	210	16	fr(x	fr(x	X
fuelectenerg-3307	210	17	)	)	PUNCT
fuelectenerg-3307	210	18	〉	〉	NOUN
fuelectenerg-3307	210	19	if	if	SCONJ
fuelectenerg-3307	210	20	fq(x)≤	fq(x)≤	PROPN
fuelectenerg-3307	210	21	f	f	PROPN
fuelectenerg-3307	210	22	(	(	PUNCT
fuelectenerg-3307	210	23	x)≤	x)≤	PROPN
fuelectenerg-3307	210	24	fr(x	fr(x	X
fuelectenerg-3307	210	25	)	)	PUNCT
fuelectenerg-3307	210	26	.	.	PUNCT
fuelectenerg-3307	211	1	the	the	DET
fuelectenerg-3307	211	2	single	single	ADJ
fuelectenerg-3307	211	3	derivatives	derivative	NOUN
fuelectenerg-3307	211	4	with	with	ADP
fuelectenerg-3307	211	5	regard	regard	NOUN
fuelectenerg-3307	211	6	to	to	ADP
fuelectenerg-3307	211	7	xi	xi	PROPN
fuelectenerg-3307	211	8	of	of	ADP
fuelectenerg-3307	211	9	all	all	DET
fuelectenerg-3307	211	10	functions	function	NOUN
fuelectenerg-3307	211	11	of	of	ADP
fuelectenerg-3307	211	12	a	a	DET
fuelectenerg-3307	211	13	lattice	lattice	ADJ
fuelectenerg-3307	211	14	l	l	NOUN
fuelectenerg-3307	211	15	〈	〈	PROPN
fuelectenerg-3307	211	16	fq(x	fq(x	NOUN
fuelectenerg-3307	211	17	)	)	PUNCT
fuelectenerg-3307	211	18	,	,	PUNCT
fuelectenerg-3307	211	19	fr(x	fr(x	X
fuelectenerg-3307	211	20	)	)	PUNCT
fuelectenerg-3307	211	21	〉	〉	NOUN
fuelectenerg-3307	211	22	results	result	VERB
fuelectenerg-3307	211	23	again	again	ADV
fuelectenerg-3307	211	24	in	in	ADP
fuelectenerg-3307	211	25	a	a	DET
fuelectenerg-3307	211	26	lattice	lattice	NOUN
fuelectenerg-3307	211	27	of	of	ADP
fuelectenerg-3307	211	28	boolean	boolean	ADJ
fuelectenerg-3307	211	29	function	function	NOUN
fuelectenerg-3307	211	30	that	that	PRON
fuelectenerg-3307	211	31	is	be	AUX
fuelectenerg-3307	211	32	specified	specify	VERB
fuelectenerg-3307	211	33	by	by	ADP
fuelectenerg-3307	211	34	the	the	DET
fuelectenerg-3307	211	35	mark	mark	NOUN
fuelectenerg-3307	211	36	functions	function	NOUN
fuelectenerg-3307	211	37	:	:	PUNCT
fuelectenerg-3307	211	38	f	f	PROPN
fuelectenerg-3307	211	39	∂xi	∂xi	PROPN
fuelectenerg-3307	211	40	q	q	PROPN
fuelectenerg-3307	211	41	(	(	PUNCT
fuelectenerg-3307	211	42	x1	x1	PROPN
fuelectenerg-3307	211	43	)	)	PUNCT
fuelectenerg-3307	211	44	=	=	SYM
fuelectenerg-3307	211	45	max	max	PROPN
fuelectenerg-3307	211	46	xi	xi	PROPN
fuelectenerg-3307	211	47	fq(xi	fq(xi	PROPN
fuelectenerg-3307	211	48	,	,	PUNCT
fuelectenerg-3307	211	49	x1)∧max	x1)∧max	PROPN
fuelectenerg-3307	211	50	xi	xi	X
fuelectenerg-3307	211	51	fr(xi	fr(xi	PROPN
fuelectenerg-3307	211	52	,	,	PUNCT
fuelectenerg-3307	211	53	x1	x1	PROPN
fuelectenerg-3307	211	54	)	)	PUNCT
fuelectenerg-3307	211	55	,	,	PUNCT
fuelectenerg-3307	211	56	(	(	PUNCT
fuelectenerg-3307	211	57	1	1	X
fuelectenerg-3307	211	58	)	)	PUNCT
fuelectenerg-3307	211	59	f	f	PROPN
fuelectenerg-3307	211	60	∂xi	∂xi	PROPN
fuelectenerg-3307	211	61	r	r	NOUN
fuelectenerg-3307	211	62	(	(	PUNCT
fuelectenerg-3307	211	63	x1	x1	PROPN
fuelectenerg-3307	211	64	)	)	PUNCT
fuelectenerg-3307	211	65	=	=	SYM
fuelectenerg-3307	211	66	min	min	PROPN
fuelectenerg-3307	211	67	xi	xi	PROPN
fuelectenerg-3307	211	68	fq(xi	fq(xi	PROPN
fuelectenerg-3307	211	69	,	,	PUNCT
fuelectenerg-3307	211	70	x1)∨min	x1)∨min	PROPN
fuelectenerg-3307	211	71	xi	xi	X
fuelectenerg-3307	211	72	fr(xi	fr(xi	PROPN
fuelectenerg-3307	211	73	,	,	PUNCT
fuelectenerg-3307	211	74	x1	x1	NUM
fuelectenerg-3307	211	75	)	)	PUNCT
fuelectenerg-3307	211	76	.	.	PUNCT
fuelectenerg-3307	212	1	(	(	PUNCT
fuelectenerg-3307	212	2	2	2	X
fuelectenerg-3307	212	3	)	)	PUNCT
fuelectenerg-3307	212	4	3	3	NUM
fuelectenerg-3307	212	5	known	know	VERB
fuelectenerg-3307	212	6	non	non	ADJ
fuelectenerg-3307	212	7	-	-	ADJ
fuelectenerg-3307	212	8	compact	compact	ADJ
fuelectenerg-3307	212	9	xor	xor	PROPN
fuelectenerg-3307	212	10	-	-	PUNCT
fuelectenerg-3307	212	11	bi	bi	NOUN
fuelectenerg-3307	212	12	-	-	NOUN
fuelectenerg-3307	212	13	decompositions	decomposition	NOUN
fuelectenerg-3307	212	14	for	for	ADP
fuelectenerg-3307	212	15	lattices	lattice	NOUN
fuelectenerg-3307	212	16	of	of	ADP
fuelectenerg-3307	212	17	boolean	boolean	ADJ
fuelectenerg-3307	212	18	functions	function	NOUN
fuelectenerg-3307	212	19	a	a	DET
fuelectenerg-3307	212	20	lattice	lattice	NOUN
fuelectenerg-3307	212	21	of	of	ADP
fuelectenerg-3307	212	22	boolean	boolean	ADJ
fuelectenerg-3307	212	23	functions	function	NOUN
fuelectenerg-3307	212	24	l	l	NOUN
fuelectenerg-3307	212	25	〈	〈	PROPN
fuelectenerg-3307	212	26	fq(xa	fq(xa	PROPN
fuelectenerg-3307	212	27	,	,	PUNCT
fuelectenerg-3307	212	28	xb	xb	PROPN
fuelectenerg-3307	212	29	,	,	PUNCT
fuelectenerg-3307	212	30	xc	xc	PROPN
fuelectenerg-3307	212	31	)	)	PUNCT
fuelectenerg-3307	212	32	,	,	PUNCT
fuelectenerg-3307	212	33	fr(xa	fr(xa	PROPN
fuelectenerg-3307	212	34	,	,	PUNCT
fuelectenerg-3307	212	35	xb	xb	PROPN
fuelectenerg-3307	212	36	,	,	PUNCT
fuelectenerg-3307	212	37	xc	xc	PROPN
fuelectenerg-3307	212	38	)	)	PUNCT
fuelectenerg-3307	212	39	〉	〉	NOUN
fuelectenerg-3307	212	40	contains	contain	VERB
fuelectenerg-3307	212	41	at	at	ADV
fuelectenerg-3307	212	42	least	least	ADV
fuelectenerg-3307	212	43	one	one	NUM
fuelectenerg-3307	212	44	function	function	NOUN
fuelectenerg-3307	212	45	f	f	PROPN
fuelectenerg-3307	212	46	(	(	PUNCT
fuelectenerg-3307	212	47	xa	xa	PROPN
fuelectenerg-3307	212	48	,	,	PUNCT
fuelectenerg-3307	212	49	xb	xb	PROPN
fuelectenerg-3307	212	50	,	,	PUNCT
fuelectenerg-3307	212	51	xc	xc	PROPN
fuelectenerg-3307	212	52	)	)	PUNCT
fuelectenerg-3307	212	53	that	that	PRON
fuelectenerg-3307	212	54	is	be	AUX
fuelectenerg-3307	212	55	strongly	strongly	ADV
fuelectenerg-3307	212	56	xor	xor	PROPN
fuelectenerg-3307	212	57	-	-	PUNCT
fuelectenerg-3307	212	58	bi	bi	NOUN
fuelectenerg-3307	212	59	-	-	ADJ
fuelectenerg-3307	212	60	decomposable	decomposable	ADJ
fuelectenerg-3307	212	61	with	with	ADP
fuelectenerg-3307	212	62	regard	regard	NOUN
fuelectenerg-3307	212	63	to	to	ADP
fuelectenerg-3307	212	64	the	the	DET
fuelectenerg-3307	212	65	single	single	ADJ
fuelectenerg-3307	212	66	variable	variable	NOUN
fuelectenerg-3307	212	67	xa	xa	PROPN
fuelectenerg-3307	212	68	and	and	CCONJ
fuelectenerg-3307	212	69	the	the	DET
fuelectenerg-3307	212	70	set	set	NOUN
fuelectenerg-3307	212	71	of	of	ADP
fuelectenerg-3307	212	72	variables	variable	NOUN
fuelectenerg-3307	212	73	xb	xb	X
fuelectenerg-3307	213	1	if	if	SCONJ
fuelectenerg-3307	213	2	and	and	CCONJ
fuelectenerg-3307	213	3	only	only	ADV
fuelectenerg-3307	214	1	if	if	SCONJ
fuelectenerg-3307	214	2	max	max	PROPN
fuelectenerg-3307	214	3	xb	xb	PROPN
fuelectenerg-3307	214	4	m	m	PROPN
fuelectenerg-3307	214	5	f	f	PROPN
fuelectenerg-3307	214	6	∂xa	∂xa	PROPN
fuelectenerg-3307	214	7	q	q	PROPN
fuelectenerg-3307	214	8	(	(	PUNCT
fuelectenerg-3307	214	9	xb	xb	PROPN
fuelectenerg-3307	214	10	,	,	PUNCT
fuelectenerg-3307	214	11	xc)∧	xc)∧	PROPN
fuelectenerg-3307	214	12	f	f	PROPN
fuelectenerg-3307	214	13	∂xa	∂xa	PROPN
fuelectenerg-3307	214	14	r	r	NOUN
fuelectenerg-3307	214	15	(	(	PUNCT
fuelectenerg-3307	214	16	xb	xb	PROPN
fuelectenerg-3307	214	17	,	,	PUNCT
fuelectenerg-3307	214	18	xc	xc	PROPN
fuelectenerg-3307	214	19	)	)	PUNCT
fuelectenerg-3307	214	20	=	=	SYM
fuelectenerg-3307	214	21	0	0	X
fuelectenerg-3307	214	22	.	.	PUNCT
fuelectenerg-3307	215	1	(	(	PUNCT
fuelectenerg-3307	215	2	3	3	X
fuelectenerg-3307	215	3	)	)	PUNCT
fuelectenerg-3307	215	4	the	the	DET
fuelectenerg-3307	215	5	decomposition	decomposition	NOUN
fuelectenerg-3307	215	6	function	function	NOUN
fuelectenerg-3307	215	7	g(xa	g(xa	PROPN
fuelectenerg-3307	215	8	,	,	PUNCT
fuelectenerg-3307	215	9	xc	xc	PROPN
fuelectenerg-3307	215	10	)	)	PUNCT
fuelectenerg-3307	215	11	of	of	ADP
fuelectenerg-3307	215	12	this	this	PRON
fuelectenerg-3307	215	13	xor	xor	PROPN
fuelectenerg-3307	215	14	-	-	PUNCT
fuelectenerg-3307	215	15	bi	bi	NOUN
fuelectenerg-3307	215	16	-	-	NOUN
fuelectenerg-3307	215	17	decomposition	decomposition	NOUN
fuelectenerg-3307	215	18	is	be	AUX
fuelectenerg-3307	215	19	uniquely	uniquely	ADV
fuelectenerg-3307	215	20	specified	specify	VERB
fuelectenerg-3307	215	21	by	by	ADP
fuelectenerg-3307	215	22	g(xa	g(xa	PROPN
fuelectenerg-3307	215	23	,	,	PUNCT
fuelectenerg-3307	215	24	xc	xc	X
fuelectenerg-3307	215	25	)	)	PUNCT
fuelectenerg-3307	215	26	=	=	PUNCT
fuelectenerg-3307	216	1	xa	xa	PROPN
fuelectenerg-3307	216	2	∧max	∧max	PROPN
fuelectenerg-3307	216	3	xb	xb	PROPN
fuelectenerg-3307	216	4	m	m	PROPN
fuelectenerg-3307	216	5	f	f	PROPN
fuelectenerg-3307	216	6	∂xa	∂xa	PROPN
fuelectenerg-3307	216	7	q	q	PROPN
fuelectenerg-3307	216	8	(	(	PUNCT
fuelectenerg-3307	216	9	xb	xb	PROPN
fuelectenerg-3307	216	10	,	,	PUNCT
fuelectenerg-3307	216	11	xc	xc	PROPN
fuelectenerg-3307	216	12	)	)	PUNCT
fuelectenerg-3307	216	13	,	,	PUNCT
fuelectenerg-3307	216	14	(	(	PUNCT
fuelectenerg-3307	216	15	4	4	NUM
fuelectenerg-3307	216	16	)	)	PUNCT
fuelectenerg-3307	216	17	and	and	CCONJ
fuelectenerg-3307	216	18	the	the	DET
fuelectenerg-3307	216	19	associated	associated	ADJ
fuelectenerg-3307	216	20	decomposition	decomposition	NOUN
fuelectenerg-3307	216	21	function	function	NOUN
fuelectenerg-3307	216	22	h(xb	h(xb	PROPN
fuelectenerg-3307	216	23	,	,	PUNCT
fuelectenerg-3307	216	24	xc	xc	NOUN
fuelectenerg-3307	216	25	)	)	PUNCT
fuelectenerg-3307	216	26	can	can	AUX
fuelectenerg-3307	216	27	be	be	AUX
fuelectenerg-3307	216	28	chosen	choose	VERB
fuelectenerg-3307	216	29	from	from	ADP
fuelectenerg-3307	216	30	the	the	DET
fuelectenerg-3307	216	31	lattice	lattice	NOUN
fuelectenerg-3307	216	32	with	with	ADP
fuelectenerg-3307	216	33	the	the	DET
fuelectenerg-3307	216	34	mark	mark	PROPN
fuelectenerg-3307	216	35	functions	functions	PROPN
fuelectenerg-3307	216	36	hq(xb	hq(xb	PROPN
fuelectenerg-3307	216	37	,	,	PUNCT
fuelectenerg-3307	216	38	xc	xc	PROPN
fuelectenerg-3307	216	39	)	)	PUNCT
fuelectenerg-3307	217	1	=	=	SYM
fuelectenerg-3307	217	2	max	max	PROPN
fuelectenerg-3307	217	3	xa	xa	PROPN
fuelectenerg-3307	217	4	(	(	PUNCT
fuelectenerg-3307	217	5	(	(	PUNCT
fuelectenerg-3307	217	6	g(xa	g(xa	PROPN
fuelectenerg-3307	217	7	,	,	PUNCT
fuelectenerg-3307	217	8	xc)∧	xc)∧	PROPN
fuelectenerg-3307	217	9	fq(xa	fq(xa	PROPN
fuelectenerg-3307	217	10	,	,	PUNCT
fuelectenerg-3307	217	11	xb	xb	PROPN
fuelectenerg-3307	217	12	,	,	PUNCT
fuelectenerg-3307	217	13	xc))∨	xc))∨	PROPN
fuelectenerg-3307	217	14	(	(	PUNCT
fuelectenerg-3307	217	15	g(xa	g(xa	PROPN
fuelectenerg-3307	217	16	,	,	PUNCT
fuelectenerg-3307	217	17	xc)∧	xc)∧	PROPN
fuelectenerg-3307	217	18	fr(xa	fr(xa	PROPN
fuelectenerg-3307	217	19	,	,	PUNCT
fuelectenerg-3307	217	20	xb	xb	PROPN
fuelectenerg-3307	217	21	,	,	PUNCT
fuelectenerg-3307	217	22	xc	xc	PROPN
fuelectenerg-3307	217	23	)	)	PUNCT
fuelectenerg-3307	217	24	)	)	PUNCT
fuelectenerg-3307	217	25	)	)	PUNCT
fuelectenerg-3307	217	26	,	,	PUNCT
fuelectenerg-3307	217	27	(	(	PUNCT
fuelectenerg-3307	217	28	5	5	X
fuelectenerg-3307	217	29	)	)	PUNCT
fuelectenerg-3307	217	30	hr(xb	hr(xb	NOUN
fuelectenerg-3307	217	31	,	,	PUNCT
fuelectenerg-3307	217	32	xc	xc	X
fuelectenerg-3307	217	33	)	)	PUNCT
fuelectenerg-3307	217	34	=	=	SYM
fuelectenerg-3307	217	35	max	max	PROPN
fuelectenerg-3307	217	36	xa	xa	PROPN
fuelectenerg-3307	217	37	(	(	PUNCT
fuelectenerg-3307	217	38	(	(	PUNCT
fuelectenerg-3307	217	39	g(xa	g(xa	PROPN
fuelectenerg-3307	217	40	,	,	PUNCT
fuelectenerg-3307	217	41	xc)∧	xc)∧	PROPN
fuelectenerg-3307	217	42	fr(xa	fr(xa	PROPN
fuelectenerg-3307	217	43	,	,	PUNCT
fuelectenerg-3307	217	44	xb	xb	PROPN
fuelectenerg-3307	217	45	,	,	PUNCT
fuelectenerg-3307	217	46	xc))∨	xc))∨	PROPN
fuelectenerg-3307	217	47	(	(	PUNCT
fuelectenerg-3307	217	48	g(xa	g(xa	PROPN
fuelectenerg-3307	217	49	,	,	PUNCT
fuelectenerg-3307	217	50	xc)∧	xc)∧	PROPN
fuelectenerg-3307	217	51	fq(xa	fq(xa	PROPN
fuelectenerg-3307	217	52	,	,	PUNCT
fuelectenerg-3307	217	53	xb	xb	PROPN
fuelectenerg-3307	217	54	,	,	PUNCT
fuelectenerg-3307	217	55	xc	xc	PROPN
fuelectenerg-3307	217	56	)	)	PUNCT
fuelectenerg-3307	217	57	)	)	PUNCT
fuelectenerg-3307	217	58	)	)	PUNCT
fuelectenerg-3307	217	59	.	.	PUNCT
fuelectenerg-3307	218	1	(	(	PUNCT
fuelectenerg-3307	218	2	6	6	X
fuelectenerg-3307	218	3	)	)	PUNCT
fuelectenerg-3307	218	4	more	more	ADJ
fuelectenerg-3307	218	5	details	detail	NOUN
fuelectenerg-3307	218	6	about	about	ADP
fuelectenerg-3307	218	7	strong	strong	ADJ
fuelectenerg-3307	218	8	and	and	CCONJ
fuelectenerg-3307	218	9	weak	weak	ADJ
fuelectenerg-3307	218	10	bi	bi	NOUN
fuelectenerg-3307	218	11	-	-	NOUN
fuelectenerg-3307	218	12	decompositions	decomposition	NOUN
fuelectenerg-3307	218	13	are	be	AUX
fuelectenerg-3307	218	14	given	give	VERB
fuelectenerg-3307	218	15	in	in	ADP
fuelectenerg-3307	218	16	[	[	X
fuelectenerg-3307	218	17	3	3	NUM
fuelectenerg-3307	218	18	,	,	PUNCT
fuelectenerg-3307	218	19	4	4	NUM
fuelectenerg-3307	218	20	,	,	PUNCT
fuelectenerg-3307	218	21	10	10	NUM
fuelectenerg-3307	218	22	,	,	PUNCT
fuelectenerg-3307	218	23	11	11	NUM
fuelectenerg-3307	218	24	]	]	PUNCT
fuelectenerg-3307	218	25	.	.	PUNCT
fuelectenerg-3307	219	1	compact	compact	ADJ
fuelectenerg-3307	219	2	xor	xor	PROPN
fuelectenerg-3307	219	3	-	-	PUNCT
fuelectenerg-3307	219	4	bi	bi	NOUN
fuelectenerg-3307	219	5	-	-	NOUN
fuelectenerg-3307	219	6	decomposition	decomposition	NOUN
fuelectenerg-3307	219	7	for	for	ADP
fuelectenerg-3307	219	8	lattices	lattice	NOUN
fuelectenerg-3307	219	9	of	of	ADP
fuelectenerg-3307	219	10	boolean	boolean	ADJ
fuelectenerg-3307	219	11	functions	function	NOUN
fuelectenerg-3307	219	12	5	5	NUM
fuelectenerg-3307	219	13	4	4	NUM
fuelectenerg-3307	219	14	compact	compact	ADJ
fuelectenerg-3307	219	15	xor	xor	PROPN
fuelectenerg-3307	219	16	-	-	PUNCT
fuelectenerg-3307	219	17	bi	bi	NOUN
fuelectenerg-3307	220	1	-	-	NOUN
fuelectenerg-3307	220	2	decomposition	decomposition	NOUN
fuelectenerg-3307	220	3	for	for	ADP
fuelectenerg-3307	220	4	lattices	lattice	NOUN
fuelectenerg-3307	220	5	of	of	ADP
fuelectenerg-3307	220	6	boolean	boolean	ADJ
fuelectenerg-3307	220	7	functions	function	NOUN
fuelectenerg-3307	220	8	a	a	DET
fuelectenerg-3307	220	9	compact	compact	ADJ
fuelectenerg-3307	220	10	bi	bi	NOUN
fuelectenerg-3307	220	11	-	-	NOUN
fuelectenerg-3307	220	12	decomposition	decomposition	NOUN
fuelectenerg-3307	220	13	is	be	AUX
fuelectenerg-3307	220	14	determined	determine	VERB
fuelectenerg-3307	220	15	by	by	ADP
fuelectenerg-3307	220	16	maximal	maximal	ADJ
fuelectenerg-3307	220	17	numbers	number	NOUN
fuelectenerg-3307	220	18	of	of	ADP
fuelectenerg-3307	220	19	variables	variable	NOUN
fuelectenerg-3307	220	20	in	in	ADP
fuelectenerg-3307	220	21	the	the	DET
fuelectenerg-3307	220	22	dedicated	dedicated	ADJ
fuelectenerg-3307	220	23	sets	set	NOUN
fuelectenerg-3307	220	24	xa	xa	PROPN
fuelectenerg-3307	220	25	and	and	CCONJ
fuelectenerg-3307	220	26	xb	xb	PROPN
fuelectenerg-3307	220	27	.	.	PUNCT
fuelectenerg-3307	221	1	the	the	DET
fuelectenerg-3307	221	2	number	number	NOUN
fuelectenerg-3307	221	3	of	of	ADP
fuelectenerg-3307	221	4	commonly	commonly	ADV
fuelectenerg-3307	221	5	used	use	VERB
fuelectenerg-3307	221	6	variables	variable	NOUN
fuelectenerg-3307	221	7	xc	xc	PROPN
fuelectenerg-3307	221	8	is	be	AUX
fuelectenerg-3307	221	9	as	as	ADV
fuelectenerg-3307	221	10	small	small	ADJ
fuelectenerg-3307	221	11	as	as	ADP
fuelectenerg-3307	221	12	possible	possible	ADJ
fuelectenerg-3307	221	13	,	,	PUNCT
fuelectenerg-3307	221	14	and	and	CCONJ
fuelectenerg-3307	221	15	consequently	consequently	ADV
fuelectenerg-3307	221	16	the	the	DET
fuelectenerg-3307	221	17	decomposition	decomposition	NOUN
fuelectenerg-3307	221	18	functions	function	NOUN
fuelectenerg-3307	221	19	g(xa	g(xa	NOUN
fuelectenerg-3307	221	20	,	,	PUNCT
fuelectenerg-3307	221	21	xc	xc	PROPN
fuelectenerg-3307	221	22	)	)	PUNCT
fuelectenerg-3307	221	23	and	and	CCONJ
fuelectenerg-3307	221	24	h(xb	h(xb	PROPN
fuelectenerg-3307	221	25	,	,	PUNCT
fuelectenerg-3307	221	26	xc	xc	NOUN
fuelectenerg-3307	221	27	)	)	PUNCT
fuelectenerg-3307	221	28	will	will	AUX
fuelectenerg-3307	221	29	be	be	AUX
fuelectenerg-3307	221	30	the	the	DET
fuelectenerg-3307	221	31	simplest	simple	ADJ
fuelectenerg-3307	221	32	in	in	ADP
fuelectenerg-3307	221	33	case	case	NOUN
fuelectenerg-3307	221	34	of	of	ADP
fuelectenerg-3307	221	35	a	a	DET
fuelectenerg-3307	221	36	desirable	desirable	ADJ
fuelectenerg-3307	221	37	compact	compact	ADJ
fuelectenerg-3307	221	38	bi	bi	NOUN
fuelectenerg-3307	221	39	-	-	NOUN
fuelectenerg-3307	221	40	decomposition	decomposition	NOUN
fuelectenerg-3307	221	41	.	.	PUNCT
fuelectenerg-3307	222	1	condition	condition	NOUN
fuelectenerg-3307	222	2	(	(	PUNCT
fuelectenerg-3307	222	3	3	3	X
fuelectenerg-3307	222	4	)	)	PUNCT
fuelectenerg-3307	222	5	allows	allow	VERB
fuelectenerg-3307	222	6	us	we	PRON
fuelectenerg-3307	222	7	to	to	PART
fuelectenerg-3307	222	8	find	find	VERB
fuelectenerg-3307	222	9	a	a	DET
fuelectenerg-3307	222	10	maximal	maximal	ADJ
fuelectenerg-3307	222	11	number	number	NOUN
fuelectenerg-3307	222	12	of	of	ADP
fuelectenerg-3307	222	13	possible	possible	ADJ
fuelectenerg-3307	222	14	variables	variable	NOUN
fuelectenerg-3307	222	15	for	for	ADP
fuelectenerg-3307	222	16	the	the	DET
fuelectenerg-3307	222	17	dedicated	dedicated	ADJ
fuelectenerg-3307	222	18	set	set	VERB
fuelectenerg-3307	222	19	xb	xb	PROPN
fuelectenerg-3307	222	20	of	of	ADP
fuelectenerg-3307	222	21	an	an	DET
fuelectenerg-3307	222	22	xor	xor	PROPN
fuelectenerg-3307	222	23	-	-	PUNCT
fuelectenerg-3307	222	24	bi	bi	NOUN
fuelectenerg-3307	222	25	-	-	NOUN
fuelectenerg-3307	222	26	decomposition	decomposition	NOUN
fuelectenerg-3307	222	27	,	,	PUNCT
fuelectenerg-3307	222	28	but	but	CCONJ
fuelectenerg-3307	222	29	it	it	PRON
fuelectenerg-3307	222	30	unfortunately	unfortunately	ADV
fuelectenerg-3307	222	31	restricts	restrict	VERB
fuelectenerg-3307	222	32	to	to	ADP
fuelectenerg-3307	222	33	a	a	DET
fuelectenerg-3307	222	34	single	single	ADJ
fuelectenerg-3307	222	35	variable	variable	NOUN
fuelectenerg-3307	222	36	xa	xa	PROPN
fuelectenerg-3307	222	37	of	of	ADP
fuelectenerg-3307	222	38	the	the	DET
fuelectenerg-3307	222	39	dedicated	dedicated	ADJ
fuelectenerg-3307	222	40	set	set	NOUN
fuelectenerg-3307	222	41	xa	xa	PROPN
fuelectenerg-3307	222	42	.	.	PUNCT
fuelectenerg-3307	223	1	as	as	ADP
fuelectenerg-3307	223	2	initial	initial	ADJ
fuelectenerg-3307	223	3	solution	solution	NOUN
fuelectenerg-3307	223	4	we	we	PRON
fuelectenerg-3307	223	5	can	can	AUX
fuelectenerg-3307	223	6	calculate	calculate	VERB
fuelectenerg-3307	223	7	the	the	DET
fuelectenerg-3307	223	8	decomposition	decomposition	NOUN
fuelectenerg-3307	223	9	function	function	NOUN
fuelectenerg-3307	223	10	g(xa	g(xa	PROPN
fuelectenerg-3307	223	11	,	,	PUNCT
fuelectenerg-3307	223	12	xc	xc	PRON
fuelectenerg-3307	223	13	)	)	PUNCT
fuelectenerg-3307	223	14	using	use	VERB
fuelectenerg-3307	223	15	(	(	PUNCT
fuelectenerg-3307	223	16	4	4	NUM
fuelectenerg-3307	223	17	)	)	PUNCT
fuelectenerg-3307	223	18	and	and	CCONJ
fuelectenerg-3307	223	19	the	the	DET
fuelectenerg-3307	223	20	lattice	lattice	PROPN
fuelectenerg-3307	223	21	l	l	PROPN
fuelectenerg-3307	223	22	〈	〈	PROPN
fuelectenerg-3307	223	23	hq(xb	hq(xb	PROPN
fuelectenerg-3307	223	24	,	,	PUNCT
fuelectenerg-3307	223	25	xc),hr(xb	xc),hr(xb	PROPN
fuelectenerg-3307	223	26	,	,	PUNCT
fuelectenerg-3307	223	27	xc	xc	PROPN
fuelectenerg-3307	223	28	)	)	PUNCT
fuelectenerg-3307	223	29	〉	〉	NOUN
fuelectenerg-3307	223	30	,	,	PUNCT
fuelectenerg-3307	223	31	using	use	VERB
fuelectenerg-3307	223	32	(	(	PUNCT
fuelectenerg-3307	223	33	5	5	NUM
fuelectenerg-3307	223	34	)	)	PUNCT
fuelectenerg-3307	223	35	and	and	CCONJ
fuelectenerg-3307	223	36	(	(	PUNCT
fuelectenerg-3307	223	37	6	6	NUM
fuelectenerg-3307	223	38	)	)	PUNCT
fuelectenerg-3307	223	39	,	,	PUNCT
fuelectenerg-3307	223	40	from	from	ADP
fuelectenerg-3307	223	41	which	which	PRON
fuelectenerg-3307	223	42	the	the	DET
fuelectenerg-3307	223	43	decomposition	decomposition	NOUN
fuelectenerg-3307	223	44	function	function	NOUN
fuelectenerg-3307	223	45	h(xb	h(xb	PROPN
fuelectenerg-3307	223	46	,	,	PUNCT
fuelectenerg-3307	223	47	xc	xc	NOUN
fuelectenerg-3307	223	48	)	)	PUNCT
fuelectenerg-3307	223	49	can	can	AUX
fuelectenerg-3307	223	50	be	be	AUX
fuelectenerg-3307	223	51	chosen	choose	VERB
fuelectenerg-3307	223	52	.	.	PUNCT
fuelectenerg-3307	224	1	the	the	DET
fuelectenerg-3307	224	2	set	set	NOUN
fuelectenerg-3307	224	3	of	of	ADP
fuelectenerg-3307	224	4	all	all	DET
fuelectenerg-3307	224	5	variables	variable	NOUN
fuelectenerg-3307	224	6	x	x	VERB
fuelectenerg-3307	224	7	is	be	AUX
fuelectenerg-3307	224	8	distributed	distribute	VERB
fuelectenerg-3307	224	9	to	to	ADP
fuelectenerg-3307	224	10	the	the	DET
fuelectenerg-3307	224	11	three	three	NUM
fuelectenerg-3307	224	12	disjoint	disjoint	NOUN
fuelectenerg-3307	224	13	sets	set	NOUN
fuelectenerg-3307	224	14	xa	xa	PROPN
fuelectenerg-3307	224	15	=	=	SYM
fuelectenerg-3307	224	16	xa	xa	PROPN
fuelectenerg-3307	224	17	,	,	PUNCT
fuelectenerg-3307	224	18	xb	xb	PROPN
fuelectenerg-3307	224	19	,	,	PUNCT
fuelectenerg-3307	224	20	and	and	CCONJ
fuelectenerg-3307	224	21	xc	xc	PROPN
fuelectenerg-3307	224	22	.	.	PUNCT
fuelectenerg-3307	225	1	we	we	PRON
fuelectenerg-3307	225	2	assume	assume	VERB
fuelectenerg-3307	225	3	that	that	SCONJ
fuelectenerg-3307	225	4	xb	xb	PROPN
fuelectenerg-3307	225	5	contains	contain	VERB
fuelectenerg-3307	225	6	as	as	ADV
fuelectenerg-3307	225	7	much	much	ADJ
fuelectenerg-3307	225	8	as	as	ADP
fuelectenerg-3307	225	9	possible	possible	ADJ
fuelectenerg-3307	225	10	variables	variable	NOUN
fuelectenerg-3307	225	11	,	,	PUNCT
fuelectenerg-3307	225	12	because	because	SCONJ
fuelectenerg-3307	225	13	it	it	PRON
fuelectenerg-3307	225	14	can	can	AUX
fuelectenerg-3307	225	15	be	be	AUX
fuelectenerg-3307	225	16	verified	verify	VERB
fuelectenerg-3307	225	17	by	by	ADP
fuelectenerg-3307	225	18	(	(	PUNCT
fuelectenerg-3307	225	19	3	3	NUM
fuelectenerg-3307	225	20	)	)	PUNCT
fuelectenerg-3307	225	21	that	that	SCONJ
fuelectenerg-3307	225	22	no	no	DET
fuelectenerg-3307	225	23	other	other	ADJ
fuelectenerg-3307	225	24	variable	variable	NOUN
fuelectenerg-3307	225	25	can	can	AUX
fuelectenerg-3307	225	26	be	be	AUX
fuelectenerg-3307	225	27	added	add	VERB
fuelectenerg-3307	225	28	to	to	ADP
fuelectenerg-3307	225	29	the	the	DET
fuelectenerg-3307	225	30	dedicated	dedicated	ADJ
fuelectenerg-3307	225	31	set	set	VERB
fuelectenerg-3307	225	32	xb	xb	PROPN
fuelectenerg-3307	225	33	without	without	ADP
fuelectenerg-3307	225	34	loosing	loose	VERB
fuelectenerg-3307	225	35	the	the	DET
fuelectenerg-3307	225	36	property	property	NOUN
fuelectenerg-3307	225	37	of	of	ADP
fuelectenerg-3307	225	38	an	an	DET
fuelectenerg-3307	225	39	xor	xor	PROPN
fuelectenerg-3307	225	40	-	-	PUNCT
fuelectenerg-3307	225	41	bi	bi	NOUN
fuelectenerg-3307	225	42	-	-	NOUN
fuelectenerg-3307	225	43	decomposition	decomposition	NOUN
fuelectenerg-3307	225	44	of	of	ADP
fuelectenerg-3307	225	45	the	the	DET
fuelectenerg-3307	225	46	given	give	VERB
fuelectenerg-3307	225	47	lattice	lattice	NOUN
fuelectenerg-3307	225	48	.	.	PUNCT
fuelectenerg-3307	226	1	a	a	DET
fuelectenerg-3307	226	2	given	give	VERB
fuelectenerg-3307	226	3	xor	xor	PROPN
fuelectenerg-3307	226	4	-	-	PUNCT
fuelectenerg-3307	226	5	bi	bi	NOUN
fuelectenerg-3307	226	6	-	-	NOUN
fuelectenerg-3307	226	7	decomposition	decomposition	NOUN
fuelectenerg-3307	226	8	is	be	AUX
fuelectenerg-3307	226	9	not	not	PART
fuelectenerg-3307	226	10	compact	compact	ADJ
fuelectenerg-3307	226	11	if	if	SCONJ
fuelectenerg-3307	226	12	at	at	ADV
fuelectenerg-3307	226	13	least	least	ADV
fuelectenerg-3307	226	14	one	one	NUM
fuelectenerg-3307	226	15	variable	variable	NOUN
fuelectenerg-3307	226	16	can	can	AUX
fuelectenerg-3307	226	17	be	be	AUX
fuelectenerg-3307	226	18	moved	move	VERB
fuelectenerg-3307	226	19	from	from	ADP
fuelectenerg-3307	226	20	xc	xc	PROPN
fuelectenerg-3307	226	21	to	to	ADP
fuelectenerg-3307	226	22	xa	xa	PROPN
fuelectenerg-3307	226	23	.	.	PUNCT
fuelectenerg-3307	227	1	moving	move	VERB
fuelectenerg-3307	227	2	a	a	DET
fuelectenerg-3307	227	3	variable	variable	NOUN
fuelectenerg-3307	227	4	xi	xi	X
fuelectenerg-3307	227	5	from	from	ADP
fuelectenerg-3307	227	6	xc	xc	PROPN
fuelectenerg-3307	227	7	to	to	ADP
fuelectenerg-3307	227	8	xa	xa	PROPN
fuelectenerg-3307	227	9	does	do	AUX
fuelectenerg-3307	227	10	not	not	PART
fuelectenerg-3307	227	11	change	change	VERB
fuelectenerg-3307	227	12	the	the	DET
fuelectenerg-3307	227	13	set	set	NOUN
fuelectenerg-3307	227	14	of	of	ADP
fuelectenerg-3307	227	15	variables	variable	NOUN
fuelectenerg-3307	227	16	the	the	DET
fuelectenerg-3307	227	17	function	function	NOUN
fuelectenerg-3307	227	18	g(xa	g(xa	PROPN
fuelectenerg-3307	227	19	,	,	PUNCT
fuelectenerg-3307	227	20	xc	xc	X
fuelectenerg-3307	227	21	)	)	PUNCT
fuelectenerg-3307	227	22	is	be	AUX
fuelectenerg-3307	227	23	depending	depend	VERB
fuelectenerg-3307	227	24	on	on	ADP
fuelectenerg-3307	227	25	;	;	PUNCT
fuelectenerg-3307	227	26	however	however	ADV
fuelectenerg-3307	227	27	,	,	PUNCT
fuelectenerg-3307	227	28	it	it	PRON
fuelectenerg-3307	227	29	reduces	reduce	VERB
fuelectenerg-3307	227	30	the	the	DET
fuelectenerg-3307	227	31	support	support	NOUN
fuelectenerg-3307	227	32	of	of	ADP
fuelectenerg-3307	227	33	the	the	DET
fuelectenerg-3307	227	34	function	function	NOUN
fuelectenerg-3307	227	35	h(xb	h(xb	PROPN
fuelectenerg-3307	227	36	,	,	PUNCT
fuelectenerg-3307	227	37	xc	xc	PROPN
fuelectenerg-3307	227	38	)	)	PUNCT
fuelectenerg-3307	227	39	.	.	PUNCT
fuelectenerg-3307	228	1	the	the	DET
fuelectenerg-3307	228	2	set	set	NOUN
fuelectenerg-3307	228	3	of	of	ADP
fuelectenerg-3307	228	4	variables	variable	NOUN
fuelectenerg-3307	228	5	xc	xc	PROPN
fuelectenerg-3307	228	6	is	be	AUX
fuelectenerg-3307	228	7	split	split	VERB
fuelectenerg-3307	228	8	into	into	ADP
fuelectenerg-3307	228	9	xi	xi	PROPN
fuelectenerg-3307	228	10	and	and	CCONJ
fuelectenerg-3307	228	11	xc0	xc0	PROPN
fuelectenerg-3307	228	12	.	.	PUNCT
fuelectenerg-3307	229	1	due	due	ADP
fuelectenerg-3307	229	2	to	to	ADP
fuelectenerg-3307	229	3	the	the	DET
fuelectenerg-3307	229	4	evaluation	evaluation	NOUN
fuelectenerg-3307	229	5	of	of	ADP
fuelectenerg-3307	229	6	condition	condition	NOUN
fuelectenerg-3307	229	7	(	(	PUNCT
fuelectenerg-3307	229	8	3	3	NUM
fuelectenerg-3307	229	9	)	)	PUNCT
fuelectenerg-3307	229	10	for	for	ADP
fuelectenerg-3307	229	11	all	all	DET
fuelectenerg-3307	229	12	variables	variable	NOUN
fuelectenerg-3307	229	13	,	,	PUNCT
fuelectenerg-3307	229	14	we	we	PRON
fuelectenerg-3307	229	15	know	know	VERB
fuelectenerg-3307	229	16	that	that	SCONJ
fuelectenerg-3307	229	17	the	the	DET
fuelectenerg-3307	229	18	function	function	NOUN
fuelectenerg-3307	229	19	h(xb	h(xb	PROPN
fuelectenerg-3307	229	20	,	,	PUNCT
fuelectenerg-3307	229	21	xc	xc	NOUN
fuelectenerg-3307	229	22	)	)	PUNCT
fuelectenerg-3307	229	23	depends	depend	VERB
fuelectenerg-3307	229	24	on	on	ADP
fuelectenerg-3307	229	25	all	all	DET
fuelectenerg-3307	229	26	variables	variable	NOUN
fuelectenerg-3307	229	27	(	(	PUNCT
fuelectenerg-3307	229	28	xb	xb	PROPN
fuelectenerg-3307	229	29	,	,	PUNCT
fuelectenerg-3307	229	30	xc	xc	PROPN
fuelectenerg-3307	229	31	)	)	PUNCT
fuelectenerg-3307	229	32	.	.	PUNCT
fuelectenerg-3307	230	1	hence	hence	ADV
fuelectenerg-3307	230	2	,	,	PUNCT
fuelectenerg-3307	230	3	only	only	ADV
fuelectenerg-3307	230	4	another	another	DET
fuelectenerg-3307	230	5	function	function	NOUN
fuelectenerg-3307	230	6	h′(xb	h′(xb	PROPN
fuelectenerg-3307	230	7	,	,	PUNCT
fuelectenerg-3307	230	8	xc0	xc0	PROPN
fuelectenerg-3307	230	9	)	)	PUNCT
fuelectenerg-3307	230	10	is	be	AUX
fuelectenerg-3307	230	11	able	able	ADJ
fuelectenerg-3307	230	12	to	to	PART
fuelectenerg-3307	230	13	solve	solve	VERB
fuelectenerg-3307	230	14	the	the	DET
fuelectenerg-3307	230	15	problem	problem	NOUN
fuelectenerg-3307	230	16	.	.	PUNCT
fuelectenerg-3307	231	1	in	in	ADP
fuelectenerg-3307	231	2	the	the	DET
fuelectenerg-3307	231	3	context	context	NOUN
fuelectenerg-3307	231	4	of	of	ADP
fuelectenerg-3307	231	5	the	the	DET
fuelectenerg-3307	231	6	xor	xor	PROPN
fuelectenerg-3307	231	7	-	-	PUNCT
fuelectenerg-3307	231	8	bi	bi	NOUN
fuelectenerg-3307	231	9	-	-	NOUN
fuelectenerg-3307	231	10	decomposition	decomposition	NOUN
fuelectenerg-3307	231	11	,	,	PUNCT
fuelectenerg-3307	231	12	the	the	DET
fuelectenerg-3307	231	13	following	follow	VERB
fuelectenerg-3307	231	14	transformation	transformation	NOUN
fuelectenerg-3307	231	15	steps	step	NOUN
fuelectenerg-3307	231	16	show	show	VERB
fuelectenerg-3307	231	17	the	the	DET
fuelectenerg-3307	231	18	key	key	ADJ
fuelectenerg-3307	231	19	idea	idea	NOUN
fuelectenerg-3307	231	20	to	to	PART
fuelectenerg-3307	231	21	solve	solve	VERB
fuelectenerg-3307	231	22	the	the	DET
fuelectenerg-3307	231	23	problem	problem	NOUN
fuelectenerg-3307	231	24	:	:	PUNCT
fuelectenerg-3307	231	25	g(xa0,xc)⊕h(xb	g(xa0,xc)⊕h(xb	PROPN
fuelectenerg-3307	231	26	,	,	PUNCT
fuelectenerg-3307	231	27	xc	xc	PROPN
fuelectenerg-3307	231	28	)	)	PUNCT
fuelectenerg-3307	231	29	(	(	PUNCT
fuelectenerg-3307	231	30	7	7	X
fuelectenerg-3307	231	31	)	)	PUNCT
fuelectenerg-3307	231	32	=	=	SYM
fuelectenerg-3307	231	33	g(xa0,xc0,xi)⊕h(xb	g(xa0,xc0,xi)⊕h(xb	PROPN
fuelectenerg-3307	231	34	,	,	PUNCT
fuelectenerg-3307	231	35	xc0,xi	xc0,xi	PROPN
fuelectenerg-3307	231	36	)	)	PUNCT
fuelectenerg-3307	231	37	(	(	PUNCT
fuelectenerg-3307	231	38	8)	8)	NUM
fuelectenerg-3307	231	39	=	=	SYM
fuelectenerg-3307	231	40	g(xa0,xc0,xi)⊕	g(xa0,xc0,xi)⊕	NOUN
fuelectenerg-3307	231	41	(	(	PUNCT
fuelectenerg-3307	231	42	xi	xi	PROPN
fuelectenerg-3307	231	43	⊕h′(xb	⊕h′(xb	PROPN
fuelectenerg-3307	231	44	,	,	PUNCT
fuelectenerg-3307	231	45	xc0	xc0	PROPN
fuelectenerg-3307	231	46	)	)	PUNCT
fuelectenerg-3307	231	47	)	)	PUNCT
fuelectenerg-3307	232	1	(	(	PUNCT
fuelectenerg-3307	232	2	9	9	X
fuelectenerg-3307	232	3	)	)	PUNCT
fuelectenerg-3307	232	4	=	=	SYM
fuelectenerg-3307	232	5	(	(	PUNCT
fuelectenerg-3307	232	6	g(xa0,xc0,xi)⊕	g(xa0,xc0,xi)⊕	PROPN
fuelectenerg-3307	232	7	xi)⊕h′(xb	xi)⊕h′(xb	PROPN
fuelectenerg-3307	232	8	,	,	PUNCT
fuelectenerg-3307	232	9	xc0	xc0	PROPN
fuelectenerg-3307	232	10	)	)	PUNCT
fuelectenerg-3307	232	11	(	(	PUNCT
fuelectenerg-3307	232	12	10	10	NUM
fuelectenerg-3307	232	13	)	)	PUNCT
fuelectenerg-3307	232	14	=	=	SYM
fuelectenerg-3307	232	15	g′(xa0,xi	g′(xa0,xi	PROPN
fuelectenerg-3307	232	16	,	,	PUNCT
fuelectenerg-3307	232	17	xc0)⊕h′(xb	xc0)⊕h′(xb	PROPN
fuelectenerg-3307	232	18	,	,	PUNCT
fuelectenerg-3307	232	19	xc0	xc0	PROPN
fuelectenerg-3307	232	20	)	)	PUNCT
fuelectenerg-3307	232	21	(	(	PUNCT
fuelectenerg-3307	232	22	11	11	NUM
fuelectenerg-3307	232	23	)	)	PUNCT
fuelectenerg-3307	232	24	=	=	SYM
fuelectenerg-3307	232	25	g′(xa	g′(xa	NOUN
fuelectenerg-3307	232	26	,	,	PUNCT
fuelectenerg-3307	232	27	xc0)⊕h′(xb	xc0)⊕h′(xb	PROPN
fuelectenerg-3307	232	28	,	,	PUNCT
fuelectenerg-3307	232	29	xc0	xc0	PROPN
fuelectenerg-3307	232	30	)	)	PUNCT
fuelectenerg-3307	232	31	;	;	PUNCT
fuelectenerg-3307	232	32	(	(	PUNCT
fuelectenerg-3307	232	33	12	12	NUM
fuelectenerg-3307	232	34	)	)	PUNCT
fuelectenerg-3307	232	35	•	•	NOUN
fuelectenerg-3307	232	36	the	the	DET
fuelectenerg-3307	232	37	step	step	NOUN
fuelectenerg-3307	232	38	from	from	ADP
fuelectenerg-3307	232	39	(	(	PUNCT
fuelectenerg-3307	232	40	7	7	NUM
fuelectenerg-3307	232	41	)	)	PUNCT
fuelectenerg-3307	232	42	to	to	ADP
fuelectenerg-3307	232	43	(	(	PUNCT
fuelectenerg-3307	232	44	8)	8)	NUM
fuelectenerg-3307	232	45	emphasizes	emphasize	VERB
fuelectenerg-3307	232	46	the	the	DET
fuelectenerg-3307	232	47	variable	variable	NOUN
fuelectenerg-3307	232	48	xi	xi	NOUN
fuelectenerg-3307	232	49	as	as	ADP
fuelectenerg-3307	232	50	element	element	NOUN
fuelectenerg-3307	232	51	of	of	ADP
fuelectenerg-3307	232	52	the	the	DET
fuelectenerg-3307	232	53	given	give	VERB
fuelectenerg-3307	232	54	set	set	NOUN
fuelectenerg-3307	232	55	of	of	ADP
fuelectenerg-3307	232	56	variables	variable	NOUN
fuelectenerg-3307	232	57	xc	xc	PROPN
fuelectenerg-3307	232	58	;	;	PUNCT
fuelectenerg-3307	232	59	•	•	ADP
fuelectenerg-3307	232	60	the	the	DET
fuelectenerg-3307	232	61	step	step	NOUN
fuelectenerg-3307	232	62	from	from	ADP
fuelectenerg-3307	232	63	(	(	PUNCT
fuelectenerg-3307	232	64	8)	8)	NUM
fuelectenerg-3307	232	65	to	to	PART
fuelectenerg-3307	232	66	(	(	PUNCT
fuelectenerg-3307	232	67	9	9	NUM
fuelectenerg-3307	232	68	)	)	PUNCT
fuelectenerg-3307	232	69	requires	require	VERB
fuelectenerg-3307	232	70	that	that	SCONJ
fuelectenerg-3307	232	71	the	the	DET
fuelectenerg-3307	232	72	function	function	NOUN
fuelectenerg-3307	232	73	h(xb	h(xb	PROPN
fuelectenerg-3307	232	74	,	,	PUNCT
fuelectenerg-3307	232	75	xc0,xi	xc0,xi	PROPN
fuelectenerg-3307	232	76	)	)	PUNCT
fuelectenerg-3307	232	77	is	be	AUX
fuelectenerg-3307	232	78	linear	linear	ADJ
fuelectenerg-3307	232	79	in	in	ADP
fuelectenerg-3307	232	80	xi	xi	PROPN
fuelectenerg-3307	232	81	.	.	PUNCT
fuelectenerg-3307	233	1	this	this	DET
fuelectenerg-3307	233	2	property	property	NOUN
fuelectenerg-3307	233	3	enables	enable	VERB
fuelectenerg-3307	233	4	or	or	CCONJ
fuelectenerg-3307	233	5	prohibits	prohibit	VERB
fuelectenerg-3307	233	6	the	the	DET
fuelectenerg-3307	233	7	whole	whole	ADJ
fuelectenerg-3307	233	8	transformation	transformation	NOUN
fuelectenerg-3307	233	9	;	;	PUNCT
fuelectenerg-3307	233	10	•	•	NUM
fuelectenerg-3307	233	11	the	the	DET
fuelectenerg-3307	233	12	step	step	NOUN
fuelectenerg-3307	233	13	from	from	ADP
fuelectenerg-3307	233	14	(	(	PUNCT
fuelectenerg-3307	233	15	9	9	NUM
fuelectenerg-3307	233	16	)	)	PUNCT
fuelectenerg-3307	233	17	to	to	ADP
fuelectenerg-3307	233	18	(	(	PUNCT
fuelectenerg-3307	233	19	10	10	NUM
fuelectenerg-3307	233	20	)	)	PUNCT
fuelectenerg-3307	233	21	moves	move	VERB
fuelectenerg-3307	233	22	the	the	DET
fuelectenerg-3307	233	23	variable	variable	NOUN
fuelectenerg-3307	233	24	xi	xi	X
fuelectenerg-3307	233	25	to	to	ADP
fuelectenerg-3307	233	26	the	the	DET
fuelectenerg-3307	233	27	other	other	ADJ
fuelectenerg-3307	233	28	decomposition	decomposition	NOUN
fuelectenerg-3307	233	29	function	function	NOUN
fuelectenerg-3307	233	30	of	of	ADP
fuelectenerg-3307	233	31	the	the	DET
fuelectenerg-3307	233	32	xor	xor	PROPN
fuelectenerg-3307	233	33	-	-	PUNCT
fuelectenerg-3307	233	34	bi	bi	NOUN
fuelectenerg-3307	233	35	-	-	NOUN
fuelectenerg-3307	233	36	decomposition	decomposition	NOUN
fuelectenerg-3307	233	37	;	;	PUNCT
fuelectenerg-3307	233	38	226	226	NUM
fuelectenerg-3307	233	39	b.	b.	NOUN
fuelectenerg-3307	233	40	steinbach	steinbach	PROPN
fuelectenerg-3307	233	41	,	,	PUNCT
fuelectenerg-3307	233	42	c.	c.	PROPN
fuelectenerg-3307	233	43	posthoff	posthoff	PROPN
fuelectenerg-3307	233	44	compact	compact	ADJ
fuelectenerg-3307	233	45	xor	xor	PROPN
fuelectenerg-3307	233	46	-	-	PUNCT
fuelectenerg-3307	233	47	bi	bi	NOUN
fuelectenerg-3307	233	48	-	-	NOUN
fuelectenerg-3307	233	49	decomposition	decomposition	NOUN
fuelectenerg-3307	233	50	for	for	ADP
fuelectenerg-3307	233	51	lattices	lattice	NOUN
fuelectenerg-3307	233	52	of	of	ADP
fuelectenerg-3307	233	53	boolean	boolean	ADJ
fuelectenerg-3307	233	54	functions	function	NOUN
fuelectenerg-3307	233	55	227	227	NUM
fuelectenerg-3307	233	56	6	6	NUM
fuelectenerg-3307	233	57	b.	b.	PROPN
fuelectenerg-3307	233	58	steinbach	steinbach	PROPN
fuelectenerg-3307	233	59	and	and	CCONJ
fuelectenerg-3307	233	60	c.	c.	PROPN
fuelectenerg-3307	233	61	posthoff	posthoff	PROPN
fuelectenerg-3307	233	62	:	:	PUNCT
fuelectenerg-3307	233	63	•	•	ADP
fuelectenerg-3307	233	64	the	the	DET
fuelectenerg-3307	233	65	step	step	NOUN
fuelectenerg-3307	233	66	from	from	ADP
fuelectenerg-3307	233	67	(	(	PUNCT
fuelectenerg-3307	233	68	10	10	NUM
fuelectenerg-3307	233	69	)	)	PUNCT
fuelectenerg-3307	233	70	to	to	ADP
fuelectenerg-3307	233	71	(	(	PUNCT
fuelectenerg-3307	233	72	11	11	NUM
fuelectenerg-3307	233	73	)	)	PUNCT
fuelectenerg-3307	233	74	includes	include	VERB
fuelectenerg-3307	233	75	the	the	DET
fuelectenerg-3307	233	76	variable	variable	NOUN
fuelectenerg-3307	233	77	xi	xi	NOUN
fuelectenerg-3307	233	78	into	into	ADP
fuelectenerg-3307	233	79	the	the	DET
fuelectenerg-3307	233	80	new	new	ADJ
fuelectenerg-3307	233	81	decomposition	decomposition	NOUN
fuelectenerg-3307	233	82	function	function	NOUN
fuelectenerg-3307	233	83	g′(xa0,xi	g′(xa0,xi	NOUN
fuelectenerg-3307	233	84	,	,	PUNCT
fuelectenerg-3307	233	85	xc0	xc0	PROPN
fuelectenerg-3307	233	86	)	)	PUNCT
fuelectenerg-3307	233	87	.	.	PUNCT
fuelectenerg-3307	234	1	this	this	DET
fuelectenerg-3307	234	2	transformation	transformation	NOUN
fuelectenerg-3307	234	3	is	be	AUX
fuelectenerg-3307	234	4	possible	possible	ADJ
fuelectenerg-3307	234	5	without	without	ADP
fuelectenerg-3307	234	6	any	any	DET
fuelectenerg-3307	234	7	restriction	restriction	NOUN
fuelectenerg-3307	234	8	;	;	PUNCT
fuelectenerg-3307	234	9	•	•	NUM
fuelectenerg-3307	234	10	the	the	DET
fuelectenerg-3307	234	11	step	step	NOUN
fuelectenerg-3307	234	12	from	from	ADP
fuelectenerg-3307	234	13	(	(	PUNCT
fuelectenerg-3307	234	14	11	11	NUM
fuelectenerg-3307	234	15	)	)	PUNCT
fuelectenerg-3307	234	16	to	to	ADP
fuelectenerg-3307	234	17	(	(	PUNCT
fuelectenerg-3307	234	18	12	12	NUM
fuelectenerg-3307	234	19	)	)	PUNCT
fuelectenerg-3307	234	20	emphasizes	emphasize	VERB
fuelectenerg-3307	234	21	that	that	SCONJ
fuelectenerg-3307	234	22	xi	xi	PROPN
fuelectenerg-3307	234	23	does	do	AUX
fuelectenerg-3307	234	24	not	not	PART
fuelectenerg-3307	234	25	belong	belong	VERB
fuelectenerg-3307	234	26	to	to	ADP
fuelectenerg-3307	234	27	the	the	DET
fuelectenerg-3307	234	28	commonly	commonly	ADV
fuelectenerg-3307	234	29	used	use	VERB
fuelectenerg-3307	234	30	variables	variable	NOUN
fuelectenerg-3307	234	31	xc0	xc0	PROPN
fuelectenerg-3307	234	32	,	,	PUNCT
fuelectenerg-3307	234	33	because	because	SCONJ
fuelectenerg-3307	234	34	h′(xb	h′(xb	PROPN
fuelectenerg-3307	234	35	,	,	PUNCT
fuelectenerg-3307	234	36	xc0	xc0	PROPN
fuelectenerg-3307	234	37	)	)	PUNCT
fuelectenerg-3307	234	38	does	do	AUX
fuelectenerg-3307	234	39	not	not	PART
fuelectenerg-3307	234	40	depend	depend	VERB
fuelectenerg-3307	234	41	on	on	ADP
fuelectenerg-3307	234	42	xi	xi	PROPN
fuelectenerg-3307	234	43	;	;	PUNCT
fuelectenerg-3307	234	44	hence	hence	ADV
fuelectenerg-3307	234	45	,	,	PUNCT
fuelectenerg-3307	234	46	xi	xi	PROPN
fuelectenerg-3307	234	47	extends	extend	VERB
fuelectenerg-3307	234	48	the	the	DET
fuelectenerg-3307	234	49	dedicated	dedicated	ADJ
fuelectenerg-3307	234	50	set	set	NOUN
fuelectenerg-3307	234	51	of	of	ADP
fuelectenerg-3307	234	52	variables	variable	NOUN
fuelectenerg-3307	234	53	xa0	xa0	PROPN
fuelectenerg-3307	234	54	to	to	ADP
fuelectenerg-3307	234	55	xa	xa	PROPN
fuelectenerg-3307	234	56	=	=	SYM
fuelectenerg-3307	234	57	(	(	PUNCT
fuelectenerg-3307	234	58	xa	xa	PROPN
fuelectenerg-3307	234	59	,	,	PUNCT
fuelectenerg-3307	234	60	xi	xi	PROPN
fuelectenerg-3307	234	61	)	)	PUNCT
fuelectenerg-3307	234	62	.	.	PUNCT
fuelectenerg-3307	235	1	the	the	DET
fuelectenerg-3307	235	2	only	only	ADJ
fuelectenerg-3307	235	3	condition	condition	NOUN
fuelectenerg-3307	235	4	for	for	ADP
fuelectenerg-3307	235	5	the	the	DET
fuelectenerg-3307	235	6	transformation	transformation	NOUN
fuelectenerg-3307	235	7	from	from	ADP
fuelectenerg-3307	235	8	(	(	PUNCT
fuelectenerg-3307	235	9	7	7	NUM
fuelectenerg-3307	235	10	)	)	PUNCT
fuelectenerg-3307	235	11	to	to	ADP
fuelectenerg-3307	235	12	(	(	PUNCT
fuelectenerg-3307	235	13	12	12	NUM
fuelectenerg-3307	235	14	)	)	PUNCT
fuelectenerg-3307	235	15	is	be	AUX
fuelectenerg-3307	235	16	that	that	SCONJ
fuelectenerg-3307	235	17	the	the	DET
fuelectenerg-3307	235	18	lattice	lattice	PROPN
fuelectenerg-3307	235	19	l	l	PROPN
fuelectenerg-3307	235	20	〈	〈	PROPN
fuelectenerg-3307	235	21	hq(xb	hq(xb	PROPN
fuelectenerg-3307	235	22	,	,	PUNCT
fuelectenerg-3307	235	23	xc),hr(xb	xc),hr(xb	PROPN
fuelectenerg-3307	235	24	,	,	PUNCT
fuelectenerg-3307	235	25	xc	xc	PROPN
fuelectenerg-3307	235	26	)	)	PUNCT
fuelectenerg-3307	235	27	〉	〉	NOUN
fuelectenerg-3307	235	28	contains	contain	VERB
fuelectenerg-3307	235	29	at	at	ADP
fuelectenerg-3307	235	30	least	least	ADV
fuelectenerg-3307	235	31	one	one	NUM
fuelectenerg-3307	235	32	function	function	NOUN
fuelectenerg-3307	235	33	that	that	PRON
fuelectenerg-3307	235	34	satisfies	satisfy	VERB
fuelectenerg-3307	235	35	:	:	PUNCT
fuelectenerg-3307	235	36	∂h(x1,xi	∂h(x1,xi	NOUN
fuelectenerg-3307	235	37	)	)	PUNCT
fuelectenerg-3307	235	38	∂xi	∂xi	NOUN
fuelectenerg-3307	235	39	=	=	SYM
fuelectenerg-3307	235	40	1	1	X
fuelectenerg-3307	235	41	.	.	PUNCT
fuelectenerg-3307	236	1	theorem	theorem	ADJ
fuelectenerg-3307	236	2	1	1	NUM
fuelectenerg-3307	236	3	(	(	PUNCT
fuelectenerg-3307	236	4	linear	linear	ADJ
fuelectenerg-3307	236	5	separation	separation	NOUN
fuelectenerg-3307	236	6	of	of	ADP
fuelectenerg-3307	236	7	a	a	DET
fuelectenerg-3307	236	8	variable	variable	NOUN
fuelectenerg-3307	236	9	for	for	ADP
fuelectenerg-3307	236	10	a	a	DET
fuelectenerg-3307	236	11	function	function	NOUN
fuelectenerg-3307	236	12	of	of	ADP
fuelectenerg-3307	236	13	a	a	DET
fuelectenerg-3307	236	14	lattice	lattice	NOUN
fuelectenerg-3307	236	15	)	)	PUNCT
fuelectenerg-3307	236	16	a	a	DET
fuelectenerg-3307	236	17	lattice	lattice	ADJ
fuelectenerg-3307	236	18	l	l	PROPN
fuelectenerg-3307	236	19	〈	〈	PROPN
fuelectenerg-3307	236	20	hq(xb	hq(xb	PROPN
fuelectenerg-3307	236	21	,	,	PUNCT
fuelectenerg-3307	236	22	xc),hr(xb	xc),hr(xb	PROPN
fuelectenerg-3307	236	23	,	,	PUNCT
fuelectenerg-3307	236	24	xc	xc	PROPN
fuelectenerg-3307	236	25	)	)	PUNCT
fuelectenerg-3307	236	26	〉	〉	NOUN
fuelectenerg-3307	236	27	contains	contain	VERB
fuelectenerg-3307	236	28	at	at	ADV
fuelectenerg-3307	236	29	least	least	ADV
fuelectenerg-3307	236	30	one	one	NUM
fuelectenerg-3307	236	31	function	function	NOUN
fuelectenerg-3307	236	32	h(x1,xi	h(x1,xi	NOUN
fuelectenerg-3307	236	33	)	)	PUNCT
fuelectenerg-3307	236	34	that	that	PRON
fuelectenerg-3307	236	35	can	can	AUX
fuelectenerg-3307	236	36	be	be	AUX
fuelectenerg-3307	236	37	represented	represent	VERB
fuelectenerg-3307	236	38	by	by	ADP
fuelectenerg-3307	236	39	h(x1,xi	h(x1,xi	PROPN
fuelectenerg-3307	236	40	)	)	PUNCT
fuelectenerg-3307	237	1	=	=	SYM
fuelectenerg-3307	237	2	xi	xi	ADP
fuelectenerg-3307	237	3	⊕h′(x1	⊕h′(x1	PROPN
fuelectenerg-3307	237	4	)	)	PUNCT
fuelectenerg-3307	237	5	(	(	PUNCT
fuelectenerg-3307	237	6	13	13	NUM
fuelectenerg-3307	237	7	)	)	PUNCT
fuelectenerg-3307	237	8	if	if	SCONJ
fuelectenerg-3307	237	9	and	and	CCONJ
fuelectenerg-3307	237	10	only	only	ADV
fuelectenerg-3307	237	11	if	if	SCONJ
fuelectenerg-3307	237	12	the	the	DET
fuelectenerg-3307	237	13	condition	condition	NOUN
fuelectenerg-3307	237	14	h∂xi	h∂xi	X
fuelectenerg-3307	237	15	r	r	NOUN
fuelectenerg-3307	237	16	(	(	PUNCT
fuelectenerg-3307	237	17	x1	x1	PROPN
fuelectenerg-3307	237	18	)	)	PUNCT
fuelectenerg-3307	237	19	=	=	SYM
fuelectenerg-3307	237	20	0	0	NUM
fuelectenerg-3307	237	21	(	(	PUNCT
fuelectenerg-3307	237	22	14	14	NUM
fuelectenerg-3307	237	23	)	)	PUNCT
fuelectenerg-3307	237	24	is	be	AUX
fuelectenerg-3307	237	25	satisfied	satisfied	ADJ
fuelectenerg-3307	237	26	.	.	PUNCT
fuelectenerg-3307	238	1	proof	proof	NOUN
fuelectenerg-3307	238	2	1	1	NUM
fuelectenerg-3307	238	3	necessary	necessary	ADJ
fuelectenerg-3307	238	4	:	:	PUNCT
fuelectenerg-3307	238	5	due	due	ADP
fuelectenerg-3307	238	6	to	to	ADP
fuelectenerg-3307	238	7	condition	condition	NOUN
fuelectenerg-3307	238	8	(	(	PUNCT
fuelectenerg-3307	238	9	14	14	NUM
fuelectenerg-3307	238	10	)	)	PUNCT
fuelectenerg-3307	238	11	the	the	DET
fuelectenerg-3307	238	12	lattice	lattice	PROPN
fuelectenerg-3307	238	13	l	l	PROPN
fuelectenerg-3307	238	14	〈	〈	PROPN
fuelectenerg-3307	238	15	hq(xb	hq(xb	PROPN
fuelectenerg-3307	238	16	,	,	PUNCT
fuelectenerg-3307	238	17	xc),hr(xb	xc),hr(xb	PROPN
fuelectenerg-3307	238	18	,	,	PUNCT
fuelectenerg-3307	238	19	xc	xc	PROPN
fuelectenerg-3307	238	20	)	)	PUNCT
fuelectenerg-3307	238	21	〉	〉	NOUN
fuelectenerg-3307	238	22	contains	contain	VERB
fuelectenerg-3307	238	23	at	at	ADP
fuelectenerg-3307	238	24	least	least	ADV
fuelectenerg-3307	238	25	one	one	NUM
fuelectenerg-3307	238	26	function	function	NOUN
fuelectenerg-3307	238	27	that	that	PRON
fuelectenerg-3307	238	28	satisfies	satisfy	VERB
fuelectenerg-3307	238	29	∂h(x1,xi	∂h(x1,xi	NOUN
fuelectenerg-3307	238	30	)	)	PUNCT
fuelectenerg-3307	238	31	∂xi	∂xi	NOUN
fuelectenerg-3307	238	32	=	=	SYM
fuelectenerg-3307	238	33	1	1	NUM
fuelectenerg-3307	238	34	.	.	PUNCT
fuelectenerg-3307	239	1	(	(	PUNCT
fuelectenerg-3307	239	2	15	15	X
fuelectenerg-3307	239	3	)	)	PUNCT
fuelectenerg-3307	239	4	it	it	PRON
fuelectenerg-3307	239	5	is	be	AUX
fuelectenerg-3307	239	6	well	well	ADV
fuelectenerg-3307	239	7	-	-	PUNCT
fuelectenerg-3307	239	8	known	know	VERB
fuelectenerg-3307	239	9	that	that	SCONJ
fuelectenerg-3307	239	10	(	(	PUNCT
fuelectenerg-3307	239	11	15	15	NUM
fuelectenerg-3307	239	12	)	)	PUNCT
fuelectenerg-3307	239	13	is	be	AUX
fuelectenerg-3307	239	14	satisfied	satisfied	ADJ
fuelectenerg-3307	239	15	if	if	SCONJ
fuelectenerg-3307	239	16	the	the	DET
fuelectenerg-3307	239	17	function	function	NOUN
fuelectenerg-3307	239	18	h(x1,xi	h(x1,xi	NOUN
fuelectenerg-3307	239	19	)	)	PUNCT
fuelectenerg-3307	239	20	is	be	AUX
fuelectenerg-3307	239	21	linear	linear	ADJ
fuelectenerg-3307	239	22	with	with	ADP
fuelectenerg-3307	239	23	regard	regard	NOUN
fuelectenerg-3307	239	24	to	to	ADP
fuelectenerg-3307	239	25	the	the	DET
fuelectenerg-3307	239	26	variable	variable	NOUN
fuelectenerg-3307	239	27	xi	xi	NOUN
fuelectenerg-3307	239	28	as	as	SCONJ
fuelectenerg-3307	239	29	shown	show	VERB
fuelectenerg-3307	239	30	in	in	ADP
fuelectenerg-3307	239	31	(	(	PUNCT
fuelectenerg-3307	239	32	13	13	NUM
fuelectenerg-3307	239	33	)	)	PUNCT
fuelectenerg-3307	239	34	.	.	PUNCT
fuelectenerg-3307	240	1	hence	hence	ADV
fuelectenerg-3307	240	2	,	,	PUNCT
fuelectenerg-3307	240	3	we	we	PRON
fuelectenerg-3307	240	4	have	have	AUX
fuelectenerg-3307	240	5	theorem	theorem	VERB
fuelectenerg-3307	240	6	1	1	NUM
fuelectenerg-3307	240	7	in	in	ADP
fuelectenerg-3307	240	8	the	the	DET
fuelectenerg-3307	240	9	direction	direction	NOUN
fuelectenerg-3307	240	10	(	(	PUNCT
fuelectenerg-3307	240	11	14	14	NUM
fuelectenerg-3307	240	12	)	)	PUNCT
fuelectenerg-3307	240	13	⇒	⇒	NOUN
fuelectenerg-3307	240	14	(	(	PUNCT
fuelectenerg-3307	240	15	13	13	NUM
fuelectenerg-3307	240	16	)	)	PUNCT
fuelectenerg-3307	240	17	.	.	PUNCT
fuelectenerg-3307	241	1	sufficient	sufficient	ADJ
fuelectenerg-3307	241	2	:	:	PUNCT
fuelectenerg-3307	241	3	function	function	VERB
fuelectenerg-3307	241	4	h(x1,xi	h(x1,xi	PROPN
fuelectenerg-3307	241	5	)	)	PUNCT
fuelectenerg-3307	241	6	(	(	PUNCT
fuelectenerg-3307	241	7	13	13	NUM
fuelectenerg-3307	241	8	)	)	PUNCT
fuelectenerg-3307	241	9	belongs	belong	VERB
fuelectenerg-3307	241	10	to	to	ADP
fuelectenerg-3307	241	11	the	the	DET
fuelectenerg-3307	241	12	lattice	lattice	PROPN
fuelectenerg-3307	241	13	l	l	PROPN
fuelectenerg-3307	241	14	〈	〈	PROPN
fuelectenerg-3307	241	15	hq(xb	hq(xb	PROPN
fuelectenerg-3307	241	16	,	,	PUNCT
fuelectenerg-3307	241	17	xc),hr(xb	xc),hr(xb	PROPN
fuelectenerg-3307	241	18	,	,	PUNCT
fuelectenerg-3307	241	19	xc	xc	PROPN
fuelectenerg-3307	241	20	)	)	PUNCT
fuelectenerg-3307	241	21	〉	〉	NOUN
fuelectenerg-3307	241	22	so	so	SCONJ
fuelectenerg-3307	241	23	that	that	SCONJ
fuelectenerg-3307	241	24	it	it	PRON
fuelectenerg-3307	241	25	holds	hold	VERB
fuelectenerg-3307	241	26	:	:	PUNCT
fuelectenerg-3307	241	27	hq(xb	hq(xb	PROPN
fuelectenerg-3307	241	28	,	,	PUNCT
fuelectenerg-3307	241	29	xc)≤	xc)≤	AUX
fuelectenerg-3307	242	1	h(x1,xi)≤	h(x1,xi)≤	PUNCT
fuelectenerg-3307	243	1	hr(xb	hr(xb	PROPN
fuelectenerg-3307	243	2	,	,	PUNCT
fuelectenerg-3307	243	3	xc	xc	PROPN
fuelectenerg-3307	243	4	)	)	PUNCT
fuelectenerg-3307	243	5	.	.	PUNCT
fuelectenerg-3307	244	1	(	(	PUNCT
fuelectenerg-3307	244	2	16	16	NUM
fuelectenerg-3307	244	3	)	)	PUNCT
fuelectenerg-3307	244	4	using	use	VERB
fuelectenerg-3307	244	5	(	(	PUNCT
fuelectenerg-3307	244	6	13	13	NUM
fuelectenerg-3307	244	7	)	)	PUNCT
fuelectenerg-3307	244	8	,	,	PUNCT
fuelectenerg-3307	244	9	the	the	DET
fuelectenerg-3307	244	10	inequality	inequality	NOUN
fuelectenerg-3307	244	11	(	(	PUNCT
fuelectenerg-3307	244	12	16	16	NUM
fuelectenerg-3307	244	13	)	)	PUNCT
fuelectenerg-3307	244	14	can	can	AUX
fuelectenerg-3307	244	15	be	be	AUX
fuelectenerg-3307	244	16	split	split	VERB
fuelectenerg-3307	244	17	into	into	ADP
fuelectenerg-3307	244	18	the	the	DET
fuelectenerg-3307	244	19	two	two	NUM
fuelectenerg-3307	244	20	inequalities	inequality	NOUN
fuelectenerg-3307	244	21	hq(xb	hq(xb	PROPN
fuelectenerg-3307	244	22	,	,	PUNCT
fuelectenerg-3307	244	23	xc)≤	xc)≤	PUNCT
fuelectenerg-3307	245	1	h(x1,xi	h(x1,xi	PROPN
fuelectenerg-3307	245	2	)	)	PUNCT
fuelectenerg-3307	246	1	=	=	SYM
fuelectenerg-3307	246	2	xi	xi	ADP
fuelectenerg-3307	246	3	⊕h′(x1	⊕h′(x1	PROPN
fuelectenerg-3307	246	4	)	)	PUNCT
fuelectenerg-3307	246	5	hq(xb	hq(xb	PROPN
fuelectenerg-3307	246	6	,	,	PUNCT
fuelectenerg-3307	246	7	xc)≤	xc)≤	PUNCT
fuelectenerg-3307	246	8	(	(	PUNCT
fuelectenerg-3307	246	9	xi	xi	X
fuelectenerg-3307	246	10	∨h′(x1))(xi	∨h′(x1))(xi	PROPN
fuelectenerg-3307	246	11	∨h′(x1	∨h′(x1	NOUN
fuelectenerg-3307	246	12	)	)	PUNCT
fuelectenerg-3307	246	13	)	)	PUNCT
fuelectenerg-3307	246	14	,	,	PUNCT
fuelectenerg-3307	246	15	(	(	PUNCT
fuelectenerg-3307	246	16	17	17	NUM
fuelectenerg-3307	246	17	)	)	PUNCT
fuelectenerg-3307	246	18	228	228	NUM
fuelectenerg-3307	246	19	b.	b.	PROPN
fuelectenerg-3307	246	20	steinbach	steinbach	PROPN
fuelectenerg-3307	246	21	,	,	PUNCT
fuelectenerg-3307	246	22	c.	c.	PROPN
fuelectenerg-3307	246	23	posthoff	posthoff	PROPN
fuelectenerg-3307	246	24	compact	compact	ADJ
fuelectenerg-3307	246	25	xor	xor	PROPN
fuelectenerg-3307	246	26	-	-	PUNCT
fuelectenerg-3307	246	27	bi	bi	NOUN
fuelectenerg-3307	246	28	-	-	NOUN
fuelectenerg-3307	246	29	decomposition	decomposition	NOUN
fuelectenerg-3307	246	30	for	for	ADP
fuelectenerg-3307	246	31	lattices	lattice	NOUN
fuelectenerg-3307	246	32	of	of	ADP
fuelectenerg-3307	246	33	boolean	boolean	ADJ
fuelectenerg-3307	246	34	functions	function	NOUN
fuelectenerg-3307	246	35	229	229	NUM
fuelectenerg-3307	246	36	6	6	NUM
fuelectenerg-3307	246	37	b.	b.	PROPN
fuelectenerg-3307	246	38	steinbach	steinbach	PROPN
fuelectenerg-3307	246	39	and	and	CCONJ
fuelectenerg-3307	246	40	c.	c.	PROPN
fuelectenerg-3307	246	41	posthoff	posthoff	PROPN
fuelectenerg-3307	246	42	:	:	PUNCT
fuelectenerg-3307	246	43	•	•	ADP
fuelectenerg-3307	246	44	the	the	DET
fuelectenerg-3307	246	45	step	step	NOUN
fuelectenerg-3307	246	46	from	from	ADP
fuelectenerg-3307	246	47	(	(	PUNCT
fuelectenerg-3307	246	48	10	10	NUM
fuelectenerg-3307	246	49	)	)	PUNCT
fuelectenerg-3307	246	50	to	to	ADP
fuelectenerg-3307	246	51	(	(	PUNCT
fuelectenerg-3307	246	52	11	11	NUM
fuelectenerg-3307	246	53	)	)	PUNCT
fuelectenerg-3307	246	54	includes	include	VERB
fuelectenerg-3307	246	55	the	the	DET
fuelectenerg-3307	246	56	variable	variable	NOUN
fuelectenerg-3307	246	57	xi	xi	NOUN
fuelectenerg-3307	246	58	into	into	ADP
fuelectenerg-3307	246	59	the	the	DET
fuelectenerg-3307	246	60	new	new	ADJ
fuelectenerg-3307	246	61	decomposition	decomposition	NOUN
fuelectenerg-3307	246	62	function	function	NOUN
fuelectenerg-3307	246	63	g′(xa0,xi	g′(xa0,xi	NOUN
fuelectenerg-3307	246	64	,	,	PUNCT
fuelectenerg-3307	246	65	xc0	xc0	PROPN
fuelectenerg-3307	246	66	)	)	PUNCT
fuelectenerg-3307	246	67	.	.	PUNCT
fuelectenerg-3307	247	1	this	this	DET
fuelectenerg-3307	247	2	transformation	transformation	NOUN
fuelectenerg-3307	247	3	is	be	AUX
fuelectenerg-3307	247	4	possible	possible	ADJ
fuelectenerg-3307	247	5	without	without	ADP
fuelectenerg-3307	247	6	any	any	DET
fuelectenerg-3307	247	7	restriction	restriction	NOUN
fuelectenerg-3307	247	8	;	;	PUNCT
fuelectenerg-3307	247	9	•	•	NUM
fuelectenerg-3307	247	10	the	the	DET
fuelectenerg-3307	247	11	step	step	NOUN
fuelectenerg-3307	247	12	from	from	ADP
fuelectenerg-3307	247	13	(	(	PUNCT
fuelectenerg-3307	247	14	11	11	NUM
fuelectenerg-3307	247	15	)	)	PUNCT
fuelectenerg-3307	247	16	to	to	ADP
fuelectenerg-3307	247	17	(	(	PUNCT
fuelectenerg-3307	247	18	12	12	NUM
fuelectenerg-3307	247	19	)	)	PUNCT
fuelectenerg-3307	247	20	emphasizes	emphasize	VERB
fuelectenerg-3307	247	21	that	that	SCONJ
fuelectenerg-3307	247	22	xi	xi	PROPN
fuelectenerg-3307	247	23	does	do	AUX
fuelectenerg-3307	247	24	not	not	PART
fuelectenerg-3307	247	25	belong	belong	VERB
fuelectenerg-3307	247	26	to	to	ADP
fuelectenerg-3307	247	27	the	the	DET
fuelectenerg-3307	247	28	commonly	commonly	ADV
fuelectenerg-3307	247	29	used	use	VERB
fuelectenerg-3307	247	30	variables	variable	NOUN
fuelectenerg-3307	247	31	xc0	xc0	PROPN
fuelectenerg-3307	247	32	,	,	PUNCT
fuelectenerg-3307	247	33	because	because	SCONJ
fuelectenerg-3307	247	34	h′(xb	h′(xb	PROPN
fuelectenerg-3307	247	35	,	,	PUNCT
fuelectenerg-3307	247	36	xc0	xc0	PROPN
fuelectenerg-3307	247	37	)	)	PUNCT
fuelectenerg-3307	247	38	does	do	AUX
fuelectenerg-3307	247	39	not	not	PART
fuelectenerg-3307	247	40	depend	depend	VERB
fuelectenerg-3307	247	41	on	on	ADP
fuelectenerg-3307	247	42	xi	xi	PROPN
fuelectenerg-3307	247	43	;	;	PUNCT
fuelectenerg-3307	247	44	hence	hence	ADV
fuelectenerg-3307	247	45	,	,	PUNCT
fuelectenerg-3307	247	46	xi	xi	PROPN
fuelectenerg-3307	247	47	extends	extend	VERB
fuelectenerg-3307	247	48	the	the	DET
fuelectenerg-3307	247	49	dedicated	dedicated	ADJ
fuelectenerg-3307	247	50	set	set	NOUN
fuelectenerg-3307	247	51	of	of	ADP
fuelectenerg-3307	247	52	variables	variable	NOUN
fuelectenerg-3307	247	53	xa0	xa0	PROPN
fuelectenerg-3307	247	54	to	to	ADP
fuelectenerg-3307	247	55	xa	xa	PROPN
fuelectenerg-3307	247	56	=	=	SYM
fuelectenerg-3307	247	57	(	(	PUNCT
fuelectenerg-3307	247	58	xa	xa	PROPN
fuelectenerg-3307	247	59	,	,	PUNCT
fuelectenerg-3307	247	60	xi	xi	PROPN
fuelectenerg-3307	247	61	)	)	PUNCT
fuelectenerg-3307	247	62	.	.	PUNCT
fuelectenerg-3307	248	1	the	the	DET
fuelectenerg-3307	248	2	only	only	ADJ
fuelectenerg-3307	248	3	condition	condition	NOUN
fuelectenerg-3307	248	4	for	for	ADP
fuelectenerg-3307	248	5	the	the	DET
fuelectenerg-3307	248	6	transformation	transformation	NOUN
fuelectenerg-3307	248	7	from	from	ADP
fuelectenerg-3307	248	8	(	(	PUNCT
fuelectenerg-3307	248	9	7	7	NUM
fuelectenerg-3307	248	10	)	)	PUNCT
fuelectenerg-3307	248	11	to	to	ADP
fuelectenerg-3307	248	12	(	(	PUNCT
fuelectenerg-3307	248	13	12	12	NUM
fuelectenerg-3307	248	14	)	)	PUNCT
fuelectenerg-3307	248	15	is	be	AUX
fuelectenerg-3307	248	16	that	that	SCONJ
fuelectenerg-3307	248	17	the	the	DET
fuelectenerg-3307	248	18	lattice	lattice	PROPN
fuelectenerg-3307	248	19	l	l	PROPN
fuelectenerg-3307	248	20	〈	〈	PROPN
fuelectenerg-3307	248	21	hq(xb	hq(xb	PROPN
fuelectenerg-3307	248	22	,	,	PUNCT
fuelectenerg-3307	248	23	xc),hr(xb	xc),hr(xb	PROPN
fuelectenerg-3307	248	24	,	,	PUNCT
fuelectenerg-3307	248	25	xc	xc	PROPN
fuelectenerg-3307	248	26	)	)	PUNCT
fuelectenerg-3307	248	27	〉	〉	NOUN
fuelectenerg-3307	248	28	contains	contain	VERB
fuelectenerg-3307	248	29	at	at	ADP
fuelectenerg-3307	248	30	least	least	ADV
fuelectenerg-3307	248	31	one	one	NUM
fuelectenerg-3307	248	32	function	function	NOUN
fuelectenerg-3307	248	33	that	that	PRON
fuelectenerg-3307	248	34	satisfies	satisfy	VERB
fuelectenerg-3307	248	35	:	:	PUNCT
fuelectenerg-3307	248	36	∂h(x1,xi	∂h(x1,xi	NOUN
fuelectenerg-3307	248	37	)	)	PUNCT
fuelectenerg-3307	248	38	∂xi	∂xi	NOUN
fuelectenerg-3307	248	39	=	=	SYM
fuelectenerg-3307	248	40	1	1	X
fuelectenerg-3307	248	41	.	.	PUNCT
fuelectenerg-3307	249	1	theorem	theorem	ADJ
fuelectenerg-3307	249	2	1	1	NUM
fuelectenerg-3307	249	3	(	(	PUNCT
fuelectenerg-3307	249	4	linear	linear	ADJ
fuelectenerg-3307	249	5	separation	separation	NOUN
fuelectenerg-3307	249	6	of	of	ADP
fuelectenerg-3307	249	7	a	a	DET
fuelectenerg-3307	249	8	variable	variable	NOUN
fuelectenerg-3307	249	9	for	for	ADP
fuelectenerg-3307	249	10	a	a	DET
fuelectenerg-3307	249	11	function	function	NOUN
fuelectenerg-3307	249	12	of	of	ADP
fuelectenerg-3307	249	13	a	a	DET
fuelectenerg-3307	249	14	lattice	lattice	NOUN
fuelectenerg-3307	249	15	)	)	PUNCT
fuelectenerg-3307	249	16	a	a	DET
fuelectenerg-3307	249	17	lattice	lattice	ADJ
fuelectenerg-3307	249	18	l	l	PROPN
fuelectenerg-3307	249	19	〈	〈	PROPN
fuelectenerg-3307	249	20	hq(xb	hq(xb	PROPN
fuelectenerg-3307	249	21	,	,	PUNCT
fuelectenerg-3307	249	22	xc),hr(xb	xc),hr(xb	PROPN
fuelectenerg-3307	249	23	,	,	PUNCT
fuelectenerg-3307	249	24	xc	xc	PROPN
fuelectenerg-3307	249	25	)	)	PUNCT
fuelectenerg-3307	249	26	〉	〉	NOUN
fuelectenerg-3307	249	27	contains	contain	VERB
fuelectenerg-3307	249	28	at	at	ADV
fuelectenerg-3307	249	29	least	least	ADV
fuelectenerg-3307	249	30	one	one	NUM
fuelectenerg-3307	249	31	function	function	NOUN
fuelectenerg-3307	249	32	h(x1,xi	h(x1,xi	NOUN
fuelectenerg-3307	249	33	)	)	PUNCT
fuelectenerg-3307	249	34	that	that	PRON
fuelectenerg-3307	249	35	can	can	AUX
fuelectenerg-3307	249	36	be	be	AUX
fuelectenerg-3307	249	37	represented	represent	VERB
fuelectenerg-3307	249	38	by	by	ADP
fuelectenerg-3307	249	39	h(x1,xi	h(x1,xi	PROPN
fuelectenerg-3307	249	40	)	)	PUNCT
fuelectenerg-3307	250	1	=	=	SYM
fuelectenerg-3307	250	2	xi	xi	ADP
fuelectenerg-3307	250	3	⊕h′(x1	⊕h′(x1	PROPN
fuelectenerg-3307	250	4	)	)	PUNCT
fuelectenerg-3307	250	5	(	(	PUNCT
fuelectenerg-3307	250	6	13	13	NUM
fuelectenerg-3307	250	7	)	)	PUNCT
fuelectenerg-3307	250	8	if	if	SCONJ
fuelectenerg-3307	250	9	and	and	CCONJ
fuelectenerg-3307	250	10	only	only	ADV
fuelectenerg-3307	250	11	if	if	SCONJ
fuelectenerg-3307	250	12	the	the	DET
fuelectenerg-3307	250	13	condition	condition	NOUN
fuelectenerg-3307	250	14	h∂xi	h∂xi	X
fuelectenerg-3307	250	15	r	r	NOUN
fuelectenerg-3307	250	16	(	(	PUNCT
fuelectenerg-3307	250	17	x1	x1	PROPN
fuelectenerg-3307	250	18	)	)	PUNCT
fuelectenerg-3307	250	19	=	=	SYM
fuelectenerg-3307	250	20	0	0	NUM
fuelectenerg-3307	250	21	(	(	PUNCT
fuelectenerg-3307	250	22	14	14	NUM
fuelectenerg-3307	250	23	)	)	PUNCT
fuelectenerg-3307	250	24	is	be	AUX
fuelectenerg-3307	250	25	satisfied	satisfied	ADJ
fuelectenerg-3307	250	26	.	.	PUNCT
fuelectenerg-3307	251	1	proof	proof	NOUN
fuelectenerg-3307	251	2	1	1	NUM
fuelectenerg-3307	251	3	necessary	necessary	ADJ
fuelectenerg-3307	251	4	:	:	PUNCT
fuelectenerg-3307	251	5	due	due	ADP
fuelectenerg-3307	251	6	to	to	ADP
fuelectenerg-3307	251	7	condition	condition	NOUN
fuelectenerg-3307	251	8	(	(	PUNCT
fuelectenerg-3307	251	9	14	14	NUM
fuelectenerg-3307	251	10	)	)	PUNCT
fuelectenerg-3307	251	11	the	the	DET
fuelectenerg-3307	251	12	lattice	lattice	PROPN
fuelectenerg-3307	251	13	l	l	PROPN
fuelectenerg-3307	251	14	〈	〈	PROPN
fuelectenerg-3307	251	15	hq(xb	hq(xb	PROPN
fuelectenerg-3307	251	16	,	,	PUNCT
fuelectenerg-3307	251	17	xc),hr(xb	xc),hr(xb	PROPN
fuelectenerg-3307	251	18	,	,	PUNCT
fuelectenerg-3307	251	19	xc	xc	PROPN
fuelectenerg-3307	251	20	)	)	PUNCT
fuelectenerg-3307	251	21	〉	〉	NOUN
fuelectenerg-3307	251	22	contains	contain	VERB
fuelectenerg-3307	251	23	at	at	ADP
fuelectenerg-3307	251	24	least	least	ADV
fuelectenerg-3307	251	25	one	one	NUM
fuelectenerg-3307	251	26	function	function	NOUN
fuelectenerg-3307	251	27	that	that	PRON
fuelectenerg-3307	251	28	satisfies	satisfy	VERB
fuelectenerg-3307	251	29	∂h(x1,xi	∂h(x1,xi	NOUN
fuelectenerg-3307	251	30	)	)	PUNCT
fuelectenerg-3307	251	31	∂xi	∂xi	NOUN
fuelectenerg-3307	251	32	=	=	SYM
fuelectenerg-3307	251	33	1	1	NUM
fuelectenerg-3307	251	34	.	.	PUNCT
fuelectenerg-3307	252	1	(	(	PUNCT
fuelectenerg-3307	252	2	15	15	X
fuelectenerg-3307	252	3	)	)	PUNCT
fuelectenerg-3307	252	4	it	it	PRON
fuelectenerg-3307	252	5	is	be	AUX
fuelectenerg-3307	252	6	well	well	ADV
fuelectenerg-3307	252	7	-	-	PUNCT
fuelectenerg-3307	252	8	known	know	VERB
fuelectenerg-3307	252	9	that	that	SCONJ
fuelectenerg-3307	252	10	(	(	PUNCT
fuelectenerg-3307	252	11	15	15	NUM
fuelectenerg-3307	252	12	)	)	PUNCT
fuelectenerg-3307	252	13	is	be	AUX
fuelectenerg-3307	252	14	satisfied	satisfied	ADJ
fuelectenerg-3307	252	15	if	if	SCONJ
fuelectenerg-3307	252	16	the	the	DET
fuelectenerg-3307	252	17	function	function	NOUN
fuelectenerg-3307	252	18	h(x1,xi	h(x1,xi	NOUN
fuelectenerg-3307	252	19	)	)	PUNCT
fuelectenerg-3307	252	20	is	be	AUX
fuelectenerg-3307	252	21	linear	linear	ADJ
fuelectenerg-3307	252	22	with	with	ADP
fuelectenerg-3307	252	23	regard	regard	NOUN
fuelectenerg-3307	252	24	to	to	ADP
fuelectenerg-3307	252	25	the	the	DET
fuelectenerg-3307	252	26	variable	variable	NOUN
fuelectenerg-3307	252	27	xi	xi	NOUN
fuelectenerg-3307	252	28	as	as	SCONJ
fuelectenerg-3307	252	29	shown	show	VERB
fuelectenerg-3307	252	30	in	in	ADP
fuelectenerg-3307	252	31	(	(	PUNCT
fuelectenerg-3307	252	32	13	13	NUM
fuelectenerg-3307	252	33	)	)	PUNCT
fuelectenerg-3307	252	34	.	.	PUNCT
fuelectenerg-3307	253	1	hence	hence	ADV
fuelectenerg-3307	253	2	,	,	PUNCT
fuelectenerg-3307	253	3	we	we	PRON
fuelectenerg-3307	253	4	have	have	AUX
fuelectenerg-3307	253	5	theorem	theorem	VERB
fuelectenerg-3307	253	6	1	1	NUM
fuelectenerg-3307	253	7	in	in	ADP
fuelectenerg-3307	253	8	the	the	DET
fuelectenerg-3307	253	9	direction	direction	NOUN
fuelectenerg-3307	253	10	(	(	PUNCT
fuelectenerg-3307	253	11	14	14	NUM
fuelectenerg-3307	253	12	)	)	PUNCT
fuelectenerg-3307	253	13	⇒	⇒	NOUN
fuelectenerg-3307	253	14	(	(	PUNCT
fuelectenerg-3307	253	15	13	13	NUM
fuelectenerg-3307	253	16	)	)	PUNCT
fuelectenerg-3307	253	17	.	.	PUNCT
fuelectenerg-3307	254	1	sufficient	sufficient	ADJ
fuelectenerg-3307	254	2	:	:	PUNCT
fuelectenerg-3307	254	3	function	function	VERB
fuelectenerg-3307	254	4	h(x1,xi	h(x1,xi	PROPN
fuelectenerg-3307	254	5	)	)	PUNCT
fuelectenerg-3307	254	6	(	(	PUNCT
fuelectenerg-3307	254	7	13	13	NUM
fuelectenerg-3307	254	8	)	)	PUNCT
fuelectenerg-3307	254	9	belongs	belong	VERB
fuelectenerg-3307	254	10	to	to	ADP
fuelectenerg-3307	254	11	the	the	DET
fuelectenerg-3307	254	12	lattice	lattice	PROPN
fuelectenerg-3307	254	13	l	l	PROPN
fuelectenerg-3307	254	14	〈	〈	PROPN
fuelectenerg-3307	254	15	hq(xb	hq(xb	PROPN
fuelectenerg-3307	254	16	,	,	PUNCT
fuelectenerg-3307	254	17	xc),hr(xb	xc),hr(xb	PROPN
fuelectenerg-3307	254	18	,	,	PUNCT
fuelectenerg-3307	254	19	xc	xc	PROPN
fuelectenerg-3307	254	20	)	)	PUNCT
fuelectenerg-3307	254	21	〉	〉	NOUN
fuelectenerg-3307	254	22	so	so	SCONJ
fuelectenerg-3307	254	23	that	that	SCONJ
fuelectenerg-3307	254	24	it	it	PRON
fuelectenerg-3307	254	25	holds	hold	VERB
fuelectenerg-3307	254	26	:	:	PUNCT
fuelectenerg-3307	254	27	hq(xb	hq(xb	PROPN
fuelectenerg-3307	254	28	,	,	PUNCT
fuelectenerg-3307	254	29	xc)≤	xc)≤	AUX
fuelectenerg-3307	255	1	h(x1,xi)≤	h(x1,xi)≤	PUNCT
fuelectenerg-3307	256	1	hr(xb	hr(xb	PROPN
fuelectenerg-3307	256	2	,	,	PUNCT
fuelectenerg-3307	256	3	xc	xc	PROPN
fuelectenerg-3307	256	4	)	)	PUNCT
fuelectenerg-3307	256	5	.	.	PUNCT
fuelectenerg-3307	257	1	(	(	PUNCT
fuelectenerg-3307	257	2	16	16	NUM
fuelectenerg-3307	257	3	)	)	PUNCT
fuelectenerg-3307	257	4	using	use	VERB
fuelectenerg-3307	257	5	(	(	PUNCT
fuelectenerg-3307	257	6	13	13	NUM
fuelectenerg-3307	257	7	)	)	PUNCT
fuelectenerg-3307	257	8	,	,	PUNCT
fuelectenerg-3307	257	9	the	the	DET
fuelectenerg-3307	257	10	inequality	inequality	NOUN
fuelectenerg-3307	257	11	(	(	PUNCT
fuelectenerg-3307	257	12	16	16	NUM
fuelectenerg-3307	257	13	)	)	PUNCT
fuelectenerg-3307	257	14	can	can	AUX
fuelectenerg-3307	257	15	be	be	AUX
fuelectenerg-3307	257	16	split	split	VERB
fuelectenerg-3307	257	17	into	into	ADP
fuelectenerg-3307	257	18	the	the	DET
fuelectenerg-3307	257	19	two	two	NUM
fuelectenerg-3307	257	20	inequalities	inequality	NOUN
fuelectenerg-3307	257	21	hq(xb	hq(xb	PROPN
fuelectenerg-3307	257	22	,	,	PUNCT
fuelectenerg-3307	257	23	xc)≤	xc)≤	PUNCT
fuelectenerg-3307	258	1	h(x1,xi	h(x1,xi	PROPN
fuelectenerg-3307	258	2	)	)	PUNCT
fuelectenerg-3307	259	1	=	=	SYM
fuelectenerg-3307	259	2	xi	xi	ADP
fuelectenerg-3307	259	3	⊕h′(x1	⊕h′(x1	PROPN
fuelectenerg-3307	259	4	)	)	PUNCT
fuelectenerg-3307	259	5	hq(xb	hq(xb	PROPN
fuelectenerg-3307	259	6	,	,	PUNCT
fuelectenerg-3307	259	7	xc)≤	xc)≤	PUNCT
fuelectenerg-3307	259	8	(	(	PUNCT
fuelectenerg-3307	259	9	xi	xi	X
fuelectenerg-3307	259	10	∨h′(x1))(xi	∨h′(x1))(xi	PROPN
fuelectenerg-3307	259	11	∨h′(x1	∨h′(x1	NOUN
fuelectenerg-3307	259	12	)	)	PUNCT
fuelectenerg-3307	259	13	)	)	PUNCT
fuelectenerg-3307	259	14	,	,	PUNCT
fuelectenerg-3307	259	15	(	(	PUNCT
fuelectenerg-3307	259	16	17	17	NUM
fuelectenerg-3307	259	17	)	)	PUNCT
fuelectenerg-3307	259	18	compact	compact	ADJ
fuelectenerg-3307	259	19	xor	xor	PROPN
fuelectenerg-3307	259	20	-	-	PUNCT
fuelectenerg-3307	259	21	bi	bi	NOUN
fuelectenerg-3307	259	22	-	-	NOUN
fuelectenerg-3307	259	23	decomposition	decomposition	NOUN
fuelectenerg-3307	259	24	for	for	ADP
fuelectenerg-3307	259	25	lattices	lattice	NOUN
fuelectenerg-3307	259	26	of	of	ADP
fuelectenerg-3307	259	27	boolean	boolean	ADJ
fuelectenerg-3307	259	28	functions	function	NOUN
fuelectenerg-3307	259	29	7	7	NUM
fuelectenerg-3307	259	30	and	and	CCONJ
fuelectenerg-3307	259	31	hr(xb	hr(xb	PROPN
fuelectenerg-3307	259	32	,	,	PUNCT
fuelectenerg-3307	259	33	xc)≥	xc)≥	PROPN
fuelectenerg-3307	259	34	h(x1,xi	h(x1,xi	PROPN
fuelectenerg-3307	259	35	)	)	PUNCT
fuelectenerg-3307	260	1	=	=	SYM
fuelectenerg-3307	260	2	xi	xi	ADP
fuelectenerg-3307	260	3	⊕h′(x1	⊕h′(x1	PROPN
fuelectenerg-3307	260	4	)	)	PUNCT
fuelectenerg-3307	260	5	hr(xb	hr(xb	NOUN
fuelectenerg-3307	260	6	,	,	PUNCT
fuelectenerg-3307	260	7	xc)≤	xc)≤	PUNCT
fuelectenerg-3307	260	8	h(x1,xi	h(x1,xi	NUM
fuelectenerg-3307	260	9	)	)	PUNCT
fuelectenerg-3307	261	1	=	=	SYM
fuelectenerg-3307	261	2	xi	xi	ADP
fuelectenerg-3307	261	3	⊕h′(x1	⊕h′(x1	PROPN
fuelectenerg-3307	261	4	)	)	PUNCT
fuelectenerg-3307	261	5	hr(xb	hr(xb	NOUN
fuelectenerg-3307	261	6	,	,	PUNCT
fuelectenerg-3307	261	7	xc)≤	xc)≤	PUNCT
fuelectenerg-3307	261	8	(	(	PUNCT
fuelectenerg-3307	261	9	xi	xi	X
fuelectenerg-3307	261	10	∨h′(x1))(xi	∨h′(x1))(xi	PROPN
fuelectenerg-3307	261	11	∨h′(x1	∨h′(x1	NOUN
fuelectenerg-3307	261	12	)	)	PUNCT
fuelectenerg-3307	261	13	)	)	PUNCT
fuelectenerg-3307	261	14	.	.	PUNCT
fuelectenerg-3307	262	1	(	(	PUNCT
fuelectenerg-3307	262	2	18	18	NUM
fuelectenerg-3307	262	3	)	)	PUNCT
fuelectenerg-3307	262	4	the	the	DET
fuelectenerg-3307	262	5	right	right	ADJ
fuelectenerg-3307	262	6	-	-	PUNCT
fuelectenerg-3307	262	7	hand	hand	NOUN
fuelectenerg-3307	262	8	-	-	PUNCT
fuelectenerg-3307	262	9	side	side	NOUN
fuelectenerg-3307	262	10	functions	function	NOUN
fuelectenerg-3307	262	11	of	of	ADP
fuelectenerg-3307	262	12	(	(	PUNCT
fuelectenerg-3307	262	13	17	17	NUM
fuelectenerg-3307	262	14	)	)	PUNCT
fuelectenerg-3307	262	15	and	and	CCONJ
fuelectenerg-3307	262	16	(	(	PUNCT
fuelectenerg-3307	262	17	18	18	NUM
fuelectenerg-3307	262	18	)	)	PUNCT
fuelectenerg-3307	262	19	are	be	AUX
fuelectenerg-3307	262	20	equal	equal	ADJ
fuelectenerg-3307	262	21	to	to	ADP
fuelectenerg-3307	262	22	or	or	CCONJ
fuelectenerg-3307	262	23	larger	large	ADJ
fuelectenerg-3307	262	24	than	than	ADP
fuelectenerg-3307	262	25	the	the	DET
fuelectenerg-3307	262	26	mark	mark	PROPN
fuelectenerg-3307	262	27	functions	functions	PROPN
fuelectenerg-3307	262	28	hq(xb	hq(xb	PROPN
fuelectenerg-3307	262	29	,	,	PUNCT
fuelectenerg-3307	262	30	xc	xc	PROPN
fuelectenerg-3307	262	31	)	)	PUNCT
fuelectenerg-3307	262	32	and	and	CCONJ
fuelectenerg-3307	262	33	hr(xb	hr(xb	PROPN
fuelectenerg-3307	262	34	,	,	PUNCT
fuelectenerg-3307	262	35	xc	xc	PROPN
fuelectenerg-3307	262	36	)	)	PUNCT
fuelectenerg-3307	262	37	.	.	PUNCT
fuelectenerg-3307	263	1	the	the	DET
fuelectenerg-3307	263	2	mark	mark	NOUN
fuelectenerg-3307	263	3	function	function	VERB
fuelectenerg-3307	263	4	h∂xi	h∂xi	PROPN
fuelectenerg-3307	263	5	r	r	NOUN
fuelectenerg-3307	263	6	(	(	PUNCT
fuelectenerg-3307	263	7	x1	x1	PROPN
fuelectenerg-3307	263	8	)	)	PUNCT
fuelectenerg-3307	263	9	of	of	ADP
fuelectenerg-3307	263	10	condition	condition	NOUN
fuelectenerg-3307	263	11	(	(	PUNCT
fuelectenerg-3307	263	12	14	14	NUM
fuelectenerg-3307	263	13	)	)	PUNCT
fuelectenerg-3307	263	14	is	be	AUX
fuelectenerg-3307	263	15	defined	define	VERB
fuelectenerg-3307	263	16	by	by	ADP
fuelectenerg-3307	263	17	:	:	PUNCT
fuelectenerg-3307	263	18	h∂xi	h∂xi	PROPN
fuelectenerg-3307	263	19	r	r	NOUN
fuelectenerg-3307	263	20	(	(	PUNCT
fuelectenerg-3307	263	21	x1	x1	PROPN
fuelectenerg-3307	263	22	)	)	PUNCT
fuelectenerg-3307	263	23	=	=	SYM
fuelectenerg-3307	263	24	min	min	PROPN
fuelectenerg-3307	263	25	xi	xi	PROPN
fuelectenerg-3307	263	26	hq(xi	hq(xi	PROPN
fuelectenerg-3307	263	27	,	,	PUNCT
fuelectenerg-3307	263	28	x1)∨min	x1)∨min	PROPN
fuelectenerg-3307	263	29	xi	xi	PROPN
fuelectenerg-3307	264	1	hr(xi	hr(xi	PROPN
fuelectenerg-3307	264	2	,	,	PUNCT
fuelectenerg-3307	264	3	x1	x1	PROPN
fuelectenerg-3307	264	4	)	)	PUNCT
fuelectenerg-3307	264	5	.	.	PUNCT
fuelectenerg-3307	265	1	(	(	PUNCT
fuelectenerg-3307	265	2	19	19	NUM
fuelectenerg-3307	265	3	)	)	PUNCT
fuelectenerg-3307	265	4	now	now	ADV
fuelectenerg-3307	265	5	,	,	PUNCT
fuelectenerg-3307	265	6	we	we	PRON
fuelectenerg-3307	265	7	substitute	substitute	VERB
fuelectenerg-3307	265	8	the	the	DET
fuelectenerg-3307	265	9	function	function	NOUN
fuelectenerg-3307	265	10	h(x1,xi	h(x1,xi	NOUN
fuelectenerg-3307	265	11	)	)	PUNCT
fuelectenerg-3307	265	12	of	of	ADP
fuelectenerg-3307	265	13	(	(	PUNCT
fuelectenerg-3307	265	14	17	17	NUM
fuelectenerg-3307	265	15	)	)	PUNCT
fuelectenerg-3307	265	16	for	for	ADP
fuelectenerg-3307	265	17	hq(xb	hq(xb	PROPN
fuelectenerg-3307	265	18	,	,	PUNCT
fuelectenerg-3307	265	19	xc	xc	PROPN
fuelectenerg-3307	265	20	)	)	PUNCT
fuelectenerg-3307	265	21	and	and	CCONJ
fuelectenerg-3307	265	22	the	the	DET
fuelectenerg-3307	265	23	function	function	NOUN
fuelectenerg-3307	265	24	h(x1,xi	h(x1,xi	PROPN
fuelectenerg-3307	265	25	)	)	PUNCT
fuelectenerg-3307	265	26	of	of	ADP
fuelectenerg-3307	265	27	(	(	PUNCT
fuelectenerg-3307	265	28	18	18	NUM
fuelectenerg-3307	265	29	)	)	PUNCT
fuelectenerg-3307	265	30	for	for	ADP
fuelectenerg-3307	265	31	hr(xb	hr(xb	PROPN
fuelectenerg-3307	265	32	,	,	PUNCT
fuelectenerg-3307	265	33	xc	xc	PROPN
fuelectenerg-3307	265	34	)	)	PUNCT
fuelectenerg-3307	265	35	into	into	ADP
fuelectenerg-3307	265	36	(	(	PUNCT
fuelectenerg-3307	265	37	19	19	NUM
fuelectenerg-3307	265	38	)	)	PUNCT
fuelectenerg-3307	265	39	.	.	PUNCT
fuelectenerg-3307	266	1	these	these	DET
fuelectenerg-3307	266	2	functions	function	NOUN
fuelectenerg-3307	266	3	are	be	AUX
fuelectenerg-3307	266	4	equal	equal	ADJ
fuelectenerg-3307	266	5	to	to	ADP
fuelectenerg-3307	266	6	or	or	CCONJ
fuelectenerg-3307	266	7	larger	large	ADJ
fuelectenerg-3307	266	8	than	than	ADP
fuelectenerg-3307	266	9	the	the	DET
fuelectenerg-3307	266	10	replaced	replace	VERB
fuelectenerg-3307	266	11	functions	function	NOUN
fuelectenerg-3307	266	12	.	.	PUNCT
fuelectenerg-3307	267	1	so	so	ADV
fuelectenerg-3307	267	2	we	we	PRON
fuelectenerg-3307	267	3	get	get	VERB
fuelectenerg-3307	267	4	:	:	PUNCT
fuelectenerg-3307	267	5	h∂xi	h∂xi	PROPN
fuelectenerg-3307	267	6	r	r	NOUN
fuelectenerg-3307	267	7	(	(	PUNCT
fuelectenerg-3307	267	8	x1	x1	PROPN
fuelectenerg-3307	267	9	)	)	PUNCT
fuelectenerg-3307	268	1	=	=	SYM
fuelectenerg-3307	268	2	min	min	NOUN
fuelectenerg-3307	268	3	xi	xi	INTJ
fuelectenerg-3307	268	4	(	(	PUNCT
fuelectenerg-3307	268	5	(	(	PUNCT
fuelectenerg-3307	268	6	xi	xi	X
fuelectenerg-3307	268	7	∨h′(x1))∧	∨h′(x1))∧	VERB
fuelectenerg-3307	268	8	(	(	PUNCT
fuelectenerg-3307	268	9	xi	xi	X
fuelectenerg-3307	268	10	∨h′(x1	∨h′(x1	NOUN
fuelectenerg-3307	268	11	)	)	PUNCT
fuelectenerg-3307	268	12	)	)	PUNCT
fuelectenerg-3307	268	13	)	)	PUNCT
fuelectenerg-3307	269	1	∨	∨	NUM
fuelectenerg-3307	269	2	min	min	NOUN
fuelectenerg-3307	269	3	xi	xi	INTJ
fuelectenerg-3307	269	4	(	(	PUNCT
fuelectenerg-3307	269	5	(	(	PUNCT
fuelectenerg-3307	269	6	xi	xi	X
fuelectenerg-3307	269	7	∨h′(x1))∧	∨h′(x1))∧	VERB
fuelectenerg-3307	269	8	(	(	PUNCT
fuelectenerg-3307	269	9	xi	xi	X
fuelectenerg-3307	269	10	∨h′(x1	∨h′(x1	NOUN
fuelectenerg-3307	269	11	)	)	PUNCT
fuelectenerg-3307	269	12	)	)	PUNCT
fuelectenerg-3307	269	13	)	)	PUNCT
fuelectenerg-3307	270	1	=	=	SYM
fuelectenerg-3307	270	2	min	min	NOUN
fuelectenerg-3307	270	3	xi	xi	INTJ
fuelectenerg-3307	270	4	(	(	PUNCT
fuelectenerg-3307	270	5	xi	xi	X
fuelectenerg-3307	270	6	∨h′(x1))∧min	∨h′(x1))∧min	PROPN
fuelectenerg-3307	270	7	xi	xi	X
fuelectenerg-3307	270	8	(	(	PUNCT
fuelectenerg-3307	270	9	xi	xi	X
fuelectenerg-3307	270	10	∨h′(x1))∨	∨h′(x1))∨	PROPN
fuelectenerg-3307	270	11	min	min	PROPN
fuelectenerg-3307	270	12	xi	xi	INTJ
fuelectenerg-3307	270	13	(	(	PUNCT
fuelectenerg-3307	270	14	xi	xi	X
fuelectenerg-3307	270	15	∨h′(x1))∧min	∨h′(x1))∧min	PROPN
fuelectenerg-3307	270	16	xi	xi	X
fuelectenerg-3307	270	17	(	(	PUNCT
fuelectenerg-3307	270	18	xi	xi	X
fuelectenerg-3307	270	19	∨h′(x1	∨h′(x1	NOUN
fuelectenerg-3307	270	20	)	)	PUNCT
fuelectenerg-3307	270	21	)	)	PUNCT
fuelectenerg-3307	271	1	=	=	PRON
fuelectenerg-3307	271	2	(	(	PUNCT
fuelectenerg-3307	271	3	h′(x1)∨min	h′(x1)∨min	X
fuelectenerg-3307	271	4	xi	xi	X
fuelectenerg-3307	271	5	(	(	PUNCT
fuelectenerg-3307	271	6	xi	xi	PROPN
fuelectenerg-3307	271	7	)	)	PUNCT
fuelectenerg-3307	271	8	)	)	PUNCT
fuelectenerg-3307	272	1	∧	∧	NOUN
fuelectenerg-3307	272	2	(	(	PUNCT
fuelectenerg-3307	272	3	h′(x1)∨min	h′(x1)∨min	PROPN
fuelectenerg-3307	272	4	xi	xi	X
fuelectenerg-3307	272	5	(	(	PUNCT
fuelectenerg-3307	272	6	xi	xi	PROPN
fuelectenerg-3307	272	7	)	)	PUNCT
fuelectenerg-3307	272	8	)	)	PUNCT
fuelectenerg-3307	272	9	∨	∨	NOUN
fuelectenerg-3307	272	10	(	(	PUNCT
fuelectenerg-3307	272	11	h′(x1)∨min	h′(x1)∨min	PROPN
fuelectenerg-3307	272	12	xi	xi	X
fuelectenerg-3307	272	13	(	(	PUNCT
fuelectenerg-3307	272	14	xi	xi	PROPN
fuelectenerg-3307	272	15	)	)	PUNCT
fuelectenerg-3307	272	16	)	)	PUNCT
fuelectenerg-3307	273	1	∧	∧	NOUN
fuelectenerg-3307	273	2	(	(	PUNCT
fuelectenerg-3307	273	3	h′(x1)∨min	h′(x1)∨min	PROPN
fuelectenerg-3307	273	4	xi	xi	X
fuelectenerg-3307	273	5	(	(	PUNCT
fuelectenerg-3307	273	6	xi	xi	PROPN
fuelectenerg-3307	273	7	)	)	PUNCT
fuelectenerg-3307	273	8	)	)	PUNCT
fuelectenerg-3307	274	1	=	=	SYM
fuelectenerg-3307	274	2	(	(	PUNCT
fuelectenerg-3307	274	3	h′(x1)∨0	h′(x1)∨0	PROPN
fuelectenerg-3307	274	4	)	)	PUNCT
fuelectenerg-3307	274	5	∧	∧	PROPN
fuelectenerg-3307	274	6	(	(	PUNCT
fuelectenerg-3307	274	7	h′(x1)∨0	h′(x1)∨0	PROPN
fuelectenerg-3307	274	8	)	)	PUNCT
fuelectenerg-3307	274	9	∨	∨	PROPN
fuelectenerg-3307	274	10	(	(	PUNCT
fuelectenerg-3307	274	11	h′(x1)∨0	h′(x1)∨0	PROPN
fuelectenerg-3307	274	12	)	)	PUNCT
fuelectenerg-3307	274	13	∧	∧	PROPN
fuelectenerg-3307	274	14	(	(	PUNCT
fuelectenerg-3307	274	15	h′(x1)∨0	h′(x1)∨0	PROPN
fuelectenerg-3307	274	16	)	)	PUNCT
fuelectenerg-3307	275	1	=	=	PUNCT
fuelectenerg-3307	275	2	h′(x1)∧h′(x1)∨h′(x1)∧h′(x1	h′(x1)∧h′(x1)∨h′(x1)∧h′(x1	NOUN
fuelectenerg-3307	275	3	)	)	PUNCT
fuelectenerg-3307	275	4	=	=	SYM
fuelectenerg-3307	275	5	0∨0	0∨0	PUNCT
fuelectenerg-3307	276	1	=	=	SYM
fuelectenerg-3307	276	2	0	0	NUM
fuelectenerg-3307	276	3	.	.	PUNCT
fuelectenerg-3307	277	1	hence	hence	ADV
fuelectenerg-3307	277	2	,	,	PUNCT
fuelectenerg-3307	277	3	condition	condition	NOUN
fuelectenerg-3307	277	4	(	(	PUNCT
fuelectenerg-3307	277	5	14	14	NUM
fuelectenerg-3307	277	6	)	)	PUNCT
fuelectenerg-3307	277	7	is	be	AUX
fuelectenerg-3307	277	8	not	not	PART
fuelectenerg-3307	277	9	only	only	ADV
fuelectenerg-3307	277	10	satisfied	satisfied	ADJ
fuelectenerg-3307	277	11	for	for	ADP
fuelectenerg-3307	277	12	the	the	DET
fuelectenerg-3307	277	13	two	two	NUM
fuelectenerg-3307	277	14	mark	mark	NOUN
fuelectenerg-3307	277	15	functions	function	NOUN
fuelectenerg-3307	277	16	hq(xb	hq(xb	PROPN
fuelectenerg-3307	277	17	,	,	PUNCT
fuelectenerg-3307	277	18	xc	xc	PROPN
fuelectenerg-3307	277	19	)	)	PUNCT
fuelectenerg-3307	277	20	and	and	CCONJ
fuelectenerg-3307	277	21	hr(xb	hr(xb	PROPN
fuelectenerg-3307	277	22	,	,	PUNCT
fuelectenerg-3307	277	23	xc	xc	PROPN
fuelectenerg-3307	277	24	)	)	PUNCT
fuelectenerg-3307	277	25	,	,	PUNCT
fuelectenerg-3307	277	26	but	but	CCONJ
fuelectenerg-3307	277	27	also	also	ADV
fuelectenerg-3307	277	28	for	for	ADP
fuelectenerg-3307	277	29	the	the	DET
fuelectenerg-3307	277	30	function	function	NOUN
fuelectenerg-3307	277	31	(	(	PUNCT
fuelectenerg-3307	277	32	13	13	NUM
fuelectenerg-3307	277	33	)	)	PUNCT
fuelectenerg-3307	277	34	which	which	PRON
fuelectenerg-3307	277	35	is	be	AUX
fuelectenerg-3307	277	36	linear	linear	ADJ
fuelectenerg-3307	277	37	with	with	ADP
fuelectenerg-3307	277	38	regard	regard	NOUN
fuelectenerg-3307	277	39	to	to	ADP
fuelectenerg-3307	277	40	xi	xi	PROPN
fuelectenerg-3307	277	41	and	and	CCONJ
fuelectenerg-3307	277	42	belongs	belong	VERB
fuelectenerg-3307	277	43	to	to	ADP
fuelectenerg-3307	277	44	the	the	DET
fuelectenerg-3307	277	45	evaluated	evaluated	ADJ
fuelectenerg-3307	277	46	lattice	lattice	NOUN
fuelectenerg-3307	277	47	.	.	PUNCT
fuelectenerg-3307	278	1	that	that	PRON
fuelectenerg-3307	278	2	shows	show	VERB
fuelectenerg-3307	278	3	the	the	DET
fuelectenerg-3307	278	4	implication	implication	NOUN
fuelectenerg-3307	278	5	(	(	PUNCT
fuelectenerg-3307	278	6	13	13	NUM
fuelectenerg-3307	278	7	)	)	PUNCT
fuelectenerg-3307	278	8	⇒	⇒	NOUN
fuelectenerg-3307	278	9	(	(	PUNCT
fuelectenerg-3307	278	10	14	14	NUM
fuelectenerg-3307	278	11	)	)	PUNCT
fuelectenerg-3307	278	12	and	and	CCONJ
fuelectenerg-3307	278	13	completes	complete	VERB
fuelectenerg-3307	278	14	theorem	theorem	NOUN
fuelectenerg-3307	278	15	1	1	NUM
fuelectenerg-3307	278	16	.	.	PUNCT
fuelectenerg-3307	278	17	consequence	consequence	NOUN
fuelectenerg-3307	278	18	1	1	NUM
fuelectenerg-3307	278	19	an	an	DET
fuelectenerg-3307	278	20	xor	xor	PROPN
fuelectenerg-3307	278	21	-	-	PUNCT
fuelectenerg-3307	278	22	bi	bi	NOUN
fuelectenerg-3307	278	23	-	-	NOUN
fuelectenerg-3307	278	24	decomposition	decomposition	NOUN
fuelectenerg-3307	278	25	is	be	AUX
fuelectenerg-3307	278	26	compact	compact	ADJ
fuelectenerg-3307	278	27	,	,	PUNCT
fuelectenerg-3307	278	28	if	if	SCONJ
fuelectenerg-3307	278	29	the	the	DET
fuelectenerg-3307	278	30	set	set	NOUN
fuelectenerg-3307	278	31	of	of	ADP
fuelectenerg-3307	278	32	variables	variable	NOUN
fuelectenerg-3307	278	33	xb	xb	PROPN
fuelectenerg-3307	278	34	is	be	AUX
fuelectenerg-3307	278	35	as	as	ADV
fuelectenerg-3307	278	36	large	large	ADJ
fuelectenerg-3307	278	37	as	as	ADP
fuelectenerg-3307	278	38	possible	possible	ADJ
fuelectenerg-3307	278	39	(	(	PUNCT
fuelectenerg-3307	278	40	verified	verify	VERB
fuelectenerg-3307	278	41	by	by	ADP
fuelectenerg-3307	278	42	condition	condition	NOUN
fuelectenerg-3307	278	43	(	(	PUNCT
fuelectenerg-3307	278	44	3	3	NUM
fuelectenerg-3307	278	45	)	)	PUNCT
fuelectenerg-3307	278	46	)	)	PUNCT
fuelectenerg-3307	278	47	,	,	PUNCT
fuelectenerg-3307	278	48	and	and	CCONJ
fuelectenerg-3307	278	49	within	within	ADP
fuelectenerg-3307	278	50	an	an	DET
fuelectenerg-3307	278	51	iterative	iterative	ADJ
fuelectenerg-3307	278	52	procedure	procedure	NOUN
fuelectenerg-3307	278	53	228	228	NUM
fuelectenerg-3307	278	54	b.	b.	PROPN
fuelectenerg-3307	278	55	steinbach	steinbach	PROPN
fuelectenerg-3307	278	56	,	,	PUNCT
fuelectenerg-3307	278	57	c.	c.	PROPN
fuelectenerg-3307	278	58	posthoff	posthoff	PROPN
fuelectenerg-3307	278	59	compact	compact	ADJ
fuelectenerg-3307	278	60	xor	xor	PROPN
fuelectenerg-3307	278	61	-	-	PUNCT
fuelectenerg-3307	278	62	bi	bi	NOUN
fuelectenerg-3307	278	63	-	-	NOUN
fuelectenerg-3307	278	64	decomposition	decomposition	NOUN
fuelectenerg-3307	278	65	for	for	ADP
fuelectenerg-3307	278	66	lattices	lattice	NOUN
fuelectenerg-3307	278	67	of	of	ADP
fuelectenerg-3307	278	68	boolean	boolean	ADJ
fuelectenerg-3307	278	69	functions	function	NOUN
fuelectenerg-3307	278	70	229	229	NUM
fuelectenerg-3307	278	71	8	8	NUM
fuelectenerg-3307	278	72	b.	b.	PROPN
fuelectenerg-3307	278	73	steinbach	steinbach	PROPN
fuelectenerg-3307	278	74	and	and	CCONJ
fuelectenerg-3307	278	75	c.	c.	PROPN
fuelectenerg-3307	278	76	posthoff	posthoff	PROPN
fuelectenerg-3307	278	77	:	:	PUNCT
fuelectenerg-3307	278	78	all	all	DET
fuelectenerg-3307	278	79	variables	variable	NOUN
fuelectenerg-3307	278	80	xi	xi	X
fuelectenerg-3307	278	81	of	of	ADP
fuelectenerg-3307	278	82	the	the	DET
fuelectenerg-3307	278	83	initial	initial	ADJ
fuelectenerg-3307	278	84	set	set	NOUN
fuelectenerg-3307	278	85	xc	xc	PROPN
fuelectenerg-3307	278	86	that	that	DET
fuelectenerg-3307	278	87	satisfy	satisfy	VERB
fuelectenerg-3307	278	88	condition	condition	NOUN
fuelectenerg-3307	278	89	(	(	PUNCT
fuelectenerg-3307	278	90	14	14	NUM
fuelectenerg-3307	278	91	)	)	PUNCT
fuelectenerg-3307	278	92	are	be	AUX
fuelectenerg-3307	278	93	used	use	VERB
fuelectenerg-3307	278	94	to	to	PART
fuelectenerg-3307	278	95	transform	transform	VERB
fuelectenerg-3307	278	96	g(xa0,xc0,xi	g(xa0,xc0,xi	NOUN
fuelectenerg-3307	278	97	)	)	PUNCT
fuelectenerg-3307	278	98	to	to	ADP
fuelectenerg-3307	278	99	g′(xa	g′(xa	NOUN
fuelectenerg-3307	278	100	,	,	PUNCT
fuelectenerg-3307	278	101	xc0	xc0	NUM
fuelectenerg-3307	278	102	)	)	PUNCT
fuelectenerg-3307	278	103	by	by	ADP
fuelectenerg-3307	278	104	g′(xa	g′(xa	PROPN
fuelectenerg-3307	278	105	,	,	PUNCT
fuelectenerg-3307	278	106	xc0	xc0	NUM
fuelectenerg-3307	278	107	)	)	PUNCT
fuelectenerg-3307	279	1	=	=	SYM
fuelectenerg-3307	279	2	xi	xi	PROPN
fuelectenerg-3307	279	3	⊕g(xa0,xc0,xi	⊕g(xa0,xc0,xi	PROPN
fuelectenerg-3307	279	4	)	)	PUNCT
fuelectenerg-3307	279	5	(	(	PUNCT
fuelectenerg-3307	279	6	20	20	NUM
fuelectenerg-3307	279	7	)	)	PUNCT
fuelectenerg-3307	279	8	and	and	CCONJ
fuelectenerg-3307	279	9	the	the	DET
fuelectenerg-3307	279	10	associated	associated	ADJ
fuelectenerg-3307	279	11	new	new	ADJ
fuelectenerg-3307	279	12	lattice	lattice	PROPN
fuelectenerg-3307	279	13	l	l	PROPN
fuelectenerg-3307	279	14	〈	〈	PROPN
fuelectenerg-3307	279	15	h′q(xb	h′q(xb	NOUN
fuelectenerg-3307	279	16	,	,	PUNCT
fuelectenerg-3307	279	17	xc0),h′r(xb	xc0),h′r(xb	PROPN
fuelectenerg-3307	279	18	,	,	PUNCT
fuelectenerg-3307	279	19	xc0	xc0	PROPN
fuelectenerg-3307	279	20	)	)	PUNCT
fuelectenerg-3307	279	21	〉	〉	NOUN
fuelectenerg-3307	279	22	is	be	AUX
fuelectenerg-3307	279	23	adjusted	adjust	VERB
fuelectenerg-3307	279	24	by	by	ADP
fuelectenerg-3307	279	25	h′q(xb	h′q(xb	NOUN
fuelectenerg-3307	279	26	,	,	PUNCT
fuelectenerg-3307	279	27	xc0	xc0	PROPN
fuelectenerg-3307	279	28	)	)	PUNCT
fuelectenerg-3307	280	1	=	=	SYM
fuelectenerg-3307	280	2	max	max	PROPN
fuelectenerg-3307	280	3	xi	xi	X
fuelectenerg-3307	280	4	(	(	PUNCT
fuelectenerg-3307	280	5	xi	xi	PROPN
fuelectenerg-3307	280	6	hq(xb	hq(xb	PROPN
fuelectenerg-3307	280	7	,	,	PUNCT
fuelectenerg-3307	280	8	xc0,xi)∨	xc0,xi)∨	PROPN
fuelectenerg-3307	280	9	xi	xi	PROPN
fuelectenerg-3307	280	10	hr(xb	hr(xb	PROPN
fuelectenerg-3307	280	11	,	,	PUNCT
fuelectenerg-3307	280	12	xc0,xi	xc0,xi	PROPN
fuelectenerg-3307	280	13	)	)	PUNCT
fuelectenerg-3307	280	14	)	)	PUNCT
fuelectenerg-3307	280	15	,	,	PUNCT
fuelectenerg-3307	280	16	(	(	PUNCT
fuelectenerg-3307	280	17	21	21	NUM
fuelectenerg-3307	280	18	)	)	PUNCT
fuelectenerg-3307	280	19	h′r(xb	h′r(xb	PROPN
fuelectenerg-3307	280	20	,	,	PUNCT
fuelectenerg-3307	280	21	xc0	xc0	PROPN
fuelectenerg-3307	280	22	)	)	PUNCT
fuelectenerg-3307	281	1	=	=	SYM
fuelectenerg-3307	281	2	max	max	PROPN
fuelectenerg-3307	281	3	xi	xi	X
fuelectenerg-3307	281	4	(	(	PUNCT
fuelectenerg-3307	281	5	xi	xi	PROPN
fuelectenerg-3307	281	6	hr(xb	hr(xb	PROPN
fuelectenerg-3307	281	7	,	,	PUNCT
fuelectenerg-3307	281	8	xc0,xi)∨	xc0,xi)∨	PROPN
fuelectenerg-3307	281	9	xi	xi	PROPN
fuelectenerg-3307	281	10	hq(xb	hq(xb	PROPN
fuelectenerg-3307	281	11	,	,	PUNCT
fuelectenerg-3307	281	12	xc0,xi	xc0,xi	PROPN
fuelectenerg-3307	281	13	)	)	PUNCT
fuelectenerg-3307	281	14	)	)	PUNCT
fuelectenerg-3307	281	15	.	.	PUNCT
fuelectenerg-3307	282	1	(	(	PUNCT
fuelectenerg-3307	282	2	22	22	NUM
fuelectenerg-3307	282	3	)	)	PUNCT
fuelectenerg-3307	282	4	a	a	DET
fuelectenerg-3307	282	5	precondition	precondition	NOUN
fuelectenerg-3307	282	6	for	for	ADP
fuelectenerg-3307	282	7	a	a	DET
fuelectenerg-3307	282	8	compact	compact	ADJ
fuelectenerg-3307	282	9	xor	xor	PROPN
fuelectenerg-3307	282	10	-	-	PUNCT
fuelectenerg-3307	282	11	bi	bi	NOUN
fuelectenerg-3307	282	12	-	-	NOUN
fuelectenerg-3307	282	13	decomposition	decomposition	NOUN
fuelectenerg-3307	282	14	is	be	AUX
fuelectenerg-3307	282	15	the	the	DET
fuelectenerg-3307	282	16	existence	existence	NOUN
fuelectenerg-3307	282	17	of	of	ADP
fuelectenerg-3307	282	18	two	two	NUM
fuelectenerg-3307	282	19	variables	variable	NOUN
fuelectenerg-3307	282	20	xa	xa	PROPN
fuelectenerg-3307	282	21	and	and	CCONJ
fuelectenerg-3307	282	22	xb	xb	PROPN
fuelectenerg-3307	282	23	for	for	ADP
fuelectenerg-3307	282	24	which	which	PRON
fuelectenerg-3307	282	25	the	the	DET
fuelectenerg-3307	282	26	given	give	VERB
fuelectenerg-3307	282	27	lattice	lattice	PROPN
fuelectenerg-3307	282	28	l	l	X
fuelectenerg-3307	282	29	〈	〈	PROPN
fuelectenerg-3307	282	30	fq(x	fq(x	NOUN
fuelectenerg-3307	282	31	)	)	PUNCT
fuelectenerg-3307	282	32	,	,	PUNCT
fuelectenerg-3307	282	33	fr(x	fr(x	X
fuelectenerg-3307	282	34	)	)	PUNCT
fuelectenerg-3307	282	35	〉	〉	NOUN
fuelectenerg-3307	282	36	contains	contain	VERB
fuelectenerg-3307	282	37	at	at	ADP
fuelectenerg-3307	282	38	least	least	ADV
fuelectenerg-3307	282	39	one	one	NUM
fuelectenerg-3307	282	40	function	function	NOUN
fuelectenerg-3307	282	41	which	which	PRON
fuelectenerg-3307	282	42	has	have	VERB
fuelectenerg-3307	282	43	a	a	DET
fuelectenerg-3307	282	44	strong	strong	ADJ
fuelectenerg-3307	282	45	xor	xor	PROPN
fuelectenerg-3307	282	46	-	-	PUNCT
fuelectenerg-3307	282	47	bi	bi	NOUN
fuelectenerg-3307	282	48	-	-	NOUN
fuelectenerg-3307	282	49	decomposition	decomposition	NOUN
fuelectenerg-3307	282	50	with	with	ADP
fuelectenerg-3307	282	51	regard	regard	NOUN
fuelectenerg-3307	282	52	to	to	ADP
fuelectenerg-3307	282	53	these	these	DET
fuelectenerg-3307	282	54	variables	variable	NOUN
fuelectenerg-3307	282	55	.	.	PUNCT
fuelectenerg-3307	283	1	algorithm	algorithm	NOUN
fuelectenerg-3307	283	2	1	1	NUM
fuelectenerg-3307	283	3	analyzes	analyze	VERB
fuelectenerg-3307	283	4	whether	whether	SCONJ
fuelectenerg-3307	283	5	there	there	PRON
fuelectenerg-3307	283	6	is	be	VERB
fuelectenerg-3307	283	7	an	an	DET
fuelectenerg-3307	283	8	xor	xor	PROPN
fuelectenerg-3307	283	9	-	-	PUNCT
fuelectenerg-3307	283	10	bi	bi	NOUN
fuelectenerg-3307	283	11	-	-	NOUN
fuelectenerg-3307	283	12	decomposition	decomposition	NOUN
fuelectenerg-3307	283	13	for	for	ADP
fuelectenerg-3307	283	14	the	the	DET
fuelectenerg-3307	283	15	given	give	VERB
fuelectenerg-3307	283	16	lattice	lattice	NOUN
fuelectenerg-3307	283	17	with	with	ADP
fuelectenerg-3307	283	18	regard	regard	NOUN
fuelectenerg-3307	283	19	to	to	ADP
fuelectenerg-3307	283	20	one	one	NUM
fuelectenerg-3307	283	21	pair	pair	NOUN
fuelectenerg-3307	283	22	of	of	ADP
fuelectenerg-3307	283	23	variables	variable	NOUN
fuelectenerg-3307	283	24	xa	xa	PROPN
fuelectenerg-3307	283	25	and	and	CCONJ
fuelectenerg-3307	283	26	xb	xb	PROPN
fuelectenerg-3307	283	27	.	.	PUNCT
fuelectenerg-3307	284	1	algorithm	algorithm	PROPN
fuelectenerg-3307	284	2	1	1	NUM
fuelectenerg-3307	284	3	determines	determine	VERB
fuelectenerg-3307	284	4	these	these	DET
fuelectenerg-3307	284	5	variables	variable	NOUN
fuelectenerg-3307	284	6	if	if	SCONJ
fuelectenerg-3307	284	7	they	they	PRON
fuelectenerg-3307	284	8	exist	exist	VERB
fuelectenerg-3307	284	9	.	.	PUNCT
fuelectenerg-3307	285	1	algorithm	algorithm	NOUN
fuelectenerg-3307	285	2	1	1	NUM
fuelectenerg-3307	285	3	initial	initial	ADJ
fuelectenerg-3307	285	4	xor	xor	PROPN
fuelectenerg-3307	285	5	-	-	PUNCT
fuelectenerg-3307	285	6	bi	bi	NOUN
fuelectenerg-3307	285	7	-	-	NOUN
fuelectenerg-3307	285	8	decomposition	decomposition	NOUN
fuelectenerg-3307	285	9	of	of	ADP
fuelectenerg-3307	285	10	the	the	DET
fuelectenerg-3307	285	11	lattice	lattice	PROPN
fuelectenerg-3307	285	12	l	l	PROPN
fuelectenerg-3307	285	13	〈	〈	PROPN
fuelectenerg-3307	285	14	fq(x	fq(x	NOUN
fuelectenerg-3307	285	15	)	)	PUNCT
fuelectenerg-3307	285	16	,	,	PUNCT
fuelectenerg-3307	285	17	fr(x	fr(x	X
fuelectenerg-3307	285	18	)	)	PUNCT
fuelectenerg-3307	285	19	〉	〉	NOUN
fuelectenerg-3307	285	20	with	with	ADP
fuelectenerg-3307	285	21	regard	regard	NOUN
fuelectenerg-3307	285	22	to	to	ADP
fuelectenerg-3307	285	23	the	the	DET
fuelectenerg-3307	285	24	variables	variable	NOUN
fuelectenerg-3307	285	25	xa	xa	PROPN
fuelectenerg-3307	285	26	and	and	CCONJ
fuelectenerg-3307	285	27	xb	xb	PROPN
fuelectenerg-3307	285	28	require	require	PROPN
fuelectenerg-3307	285	29	:	:	PUNCT
fuelectenerg-3307	285	30	tvls	tvls	NOUN
fuelectenerg-3307	285	31	of	of	ADP
fuelectenerg-3307	285	32	fq(x)and	fq(x)and	NOUN
fuelectenerg-3307	285	33	fr(x	fr(x	NUM
fuelectenerg-3307	285	34	)	)	PUNCT
fuelectenerg-3307	285	35	in	in	ADP
fuelectenerg-3307	285	36	oda	oda	NOUN
fuelectenerg-3307	285	37	-	-	PUNCT
fuelectenerg-3307	285	38	form	form	NOUN
fuelectenerg-3307	285	39	ensure	ensure	NOUN
fuelectenerg-3307	285	40	:	:	PUNCT
fuelectenerg-3307	286	1	boolean	boolean	ADJ
fuelectenerg-3307	286	2	variable	variable	ADJ
fuelectenerg-3307	286	3	hasxorbd	hasxorbd	NOUN
fuelectenerg-3307	286	4	:	:	PUNCT
fuelectenerg-3307	286	5	it	it	PRON
fuelectenerg-3307	286	6	is	be	AUX
fuelectenerg-3307	286	7	true	true	ADJ
fuelectenerg-3307	286	8	if	if	SCONJ
fuelectenerg-3307	286	9	the	the	DET
fuelectenerg-3307	286	10	given	give	VERB
fuelectenerg-3307	286	11	lattice	lattice	NOUN
fuelectenerg-3307	286	12	contains	contain	VERB
fuelectenerg-3307	286	13	at	at	ADP
fuelectenerg-3307	286	14	least	least	ADV
fuelectenerg-3307	286	15	one	one	NUM
fuelectenerg-3307	286	16	xor	xor	PROPN
fuelectenerg-3307	286	17	-	-	PUNCT
fuelectenerg-3307	286	18	bi	bi	ADJ
fuelectenerg-3307	286	19	-	-	ADJ
fuelectenerg-3307	286	20	decomposable	decomposable	ADJ
fuelectenerg-3307	286	21	function	function	NOUN
fuelectenerg-3307	286	22	and	and	CCONJ
fuelectenerg-3307	286	23	f	f	PROPN
fuelectenerg-3307	286	24	alse	alse	AUX
fuelectenerg-3307	286	25	otherwise	otherwise	ADV
fuelectenerg-3307	286	26	ensure	ensure	VERB
fuelectenerg-3307	286	27	:	:	PUNCT
fuelectenerg-3307	286	28	set	set	NOUN
fuelectenerg-3307	286	29	of	of	ADP
fuelectenerg-3307	286	30	variables	variable	NOUN
fuelectenerg-3307	286	31	(	(	PUNCT
fuelectenerg-3307	286	32	sv	sv	NOUN
fuelectenerg-3307	286	33	)	)	PUNCT
fuelectenerg-3307	286	34	of	of	ADP
fuelectenerg-3307	286	35	xa	xa	PROPN
fuelectenerg-3307	286	36	and	and	CCONJ
fuelectenerg-3307	286	37	xb	xb	PROPN
fuelectenerg-3307	286	38	:	:	PUNCT
fuelectenerg-3307	286	39	variables	variable	NOUN
fuelectenerg-3307	286	40	for	for	ADP
fuelectenerg-3307	286	41	which	which	PRON
fuelectenerg-3307	286	42	the	the	DET
fuelectenerg-3307	286	43	lattice	lattice	NOUN
fuelectenerg-3307	286	44	contains	contain	VERB
fuelectenerg-3307	286	45	at	at	ADV
fuelectenerg-3307	286	46	least	least	ADV
fuelectenerg-3307	286	47	one	one	NUM
fuelectenerg-3307	286	48	function	function	NOUN
fuelectenerg-3307	286	49	with	with	ADP
fuelectenerg-3307	286	50	a	a	DET
fuelectenerg-3307	286	51	strong	strong	ADJ
fuelectenerg-3307	286	52	xor	xor	PROPN
fuelectenerg-3307	286	53	-	-	PUNCT
fuelectenerg-3307	286	54	bi	bi	NOUN
fuelectenerg-3307	286	55	-	-	NOUN
fuelectenerg-3307	286	56	decomposition	decomposition	NOUN
fuelectenerg-3307	286	57	1	1	NUM
fuelectenerg-3307	286	58	:	:	PUNCT
fuelectenerg-3307	286	59	all	all	DET
fuelectenerg-3307	286	60	var	var	PROPN
fuelectenerg-3307	286	61	←	←	PROPN
fuelectenerg-3307	286	62	sv	sv	PROPN
fuelectenerg-3307	286	63	uni	uni	PROPN
fuelectenerg-3307	286	64	(	(	PUNCT
fuelectenerg-3307	286	65	fq	fq	PROPN
fuelectenerg-3307	286	66	,	,	PUNCT
fuelectenerg-3307	286	67	fr	fr	PROPN
fuelectenerg-3307	286	68	)	)	PUNCT
fuelectenerg-3307	286	69	2	2	NUM
fuelectenerg-3307	286	70	:	:	PUNCT
fuelectenerg-3307	286	71	hasxorbd	hasxorbd	PROPN
fuelectenerg-3307	286	72	←	←	PROPN
fuelectenerg-3307	286	73	f	f	PROPN
fuelectenerg-3307	286	74	alse	alse	PROPN
fuelectenerg-3307	286	75	3	3	NUM
fuelectenerg-3307	286	76	:	:	PUNCT
fuelectenerg-3307	286	77	xa	xa	PROPN
fuelectenerg-3307	286	78	←	←	PROPN
fuelectenerg-3307	286	79	/0	/0	PROPN
fuelectenerg-3307	286	80	4	4	NUM
fuelectenerg-3307	286	81	:	:	PUNCT
fuelectenerg-3307	286	82	while	while	SCONJ
fuelectenerg-3307	286	83	hasxorbd	hasxorbd	ADJ
fuelectenerg-3307	286	84	∧sv	∧sv	PROPN
fuelectenerg-3307	286	85	next(all	next(all	PROPN
fuelectenerg-3307	286	86	var	var	PROPN
fuelectenerg-3307	286	87	,	,	PUNCT
fuelectenerg-3307	286	88	xa	xa	PROPN
fuelectenerg-3307	286	89	,	,	PUNCT
fuelectenerg-3307	286	90	xa	xa	PROPN
fuelectenerg-3307	286	91	)	)	PUNCT
fuelectenerg-3307	286	92	do	do	VERB
fuelectenerg-3307	286	93	5	5	NUM
fuelectenerg-3307	286	94	:	:	PUNCT
fuelectenerg-3307	286	95	xb	xb	PROPN
fuelectenerg-3307	286	96	←	←	PROPN
fuelectenerg-3307	286	97	xa	xa	PROPN
fuelectenerg-3307	286	98	6	6	NUM
fuelectenerg-3307	286	99	:	:	PUNCT
fuelectenerg-3307	286	100	f	f	PROPN
fuelectenerg-3307	286	101	∂xa	∂xa	PROPN
fuelectenerg-3307	286	102	q	q	PROPN
fuelectenerg-3307	286	103	←	←	PROPN
fuelectenerg-3307	286	104	isc(maxk	isc(maxk	PROPN
fuelectenerg-3307	286	105	(	(	PUNCT
fuelectenerg-3307	286	106	fq	fq	PROPN
fuelectenerg-3307	286	107	,	,	PUNCT
fuelectenerg-3307	286	108	xa),maxk	xa),maxk	PROPN
fuelectenerg-3307	286	109	(	(	PUNCT
fuelectenerg-3307	286	110	fr	fr	PROPN
fuelectenerg-3307	286	111	,	,	PUNCT
fuelectenerg-3307	286	112	xa	xa	PROPN
fuelectenerg-3307	286	113	)	)	PUNCT
fuelectenerg-3307	286	114	)	)	PUNCT
fuelectenerg-3307	287	1	7	7	NUM
fuelectenerg-3307	287	2	:	:	PUNCT
fuelectenerg-3307	287	3	f	f	PROPN
fuelectenerg-3307	287	4	∂xa	∂xa	PROPN
fuelectenerg-3307	287	5	r	r	PROPN
fuelectenerg-3307	287	6	←	←	PROPN
fuelectenerg-3307	287	7	uni(mink	uni(mink	NOUN
fuelectenerg-3307	287	8	(	(	PUNCT
fuelectenerg-3307	287	9	fq	fq	PROPN
fuelectenerg-3307	287	10	,	,	PUNCT
fuelectenerg-3307	287	11	xa),mink	xa),mink	PROPN
fuelectenerg-3307	287	12	(	(	PUNCT
fuelectenerg-3307	287	13	fr	fr	PROPN
fuelectenerg-3307	287	14	,	,	PUNCT
fuelectenerg-3307	287	15	xa	xa	PROPN
fuelectenerg-3307	287	16	)	)	PUNCT
fuelectenerg-3307	287	17	)	)	PUNCT
fuelectenerg-3307	287	18	8	8	NUM
fuelectenerg-3307	287	19	:	:	PUNCT
fuelectenerg-3307	287	20	while	while	SCONJ
fuelectenerg-3307	287	21	hasxorbd	hasxorbd	ADJ
fuelectenerg-3307	287	22	∧sv	∧sv	PROPN
fuelectenerg-3307	287	23	next(all	next(all	PROPN
fuelectenerg-3307	287	24	var	var	PROPN
fuelectenerg-3307	287	25	,	,	PUNCT
fuelectenerg-3307	287	26	xb	xb	PROPN
fuelectenerg-3307	287	27	,	,	PUNCT
fuelectenerg-3307	287	28	xb	xb	PROPN
fuelectenerg-3307	287	29	)	)	PUNCT
fuelectenerg-3307	287	30	do	do	VERB
fuelectenerg-3307	287	31	9	9	NUM
fuelectenerg-3307	287	32	:	:	PUNCT
fuelectenerg-3307	287	33	if	if	SCONJ
fuelectenerg-3307	287	34	te	te	PROPN
fuelectenerg-3307	287	35	isc(maxk	isc(maxk	ADP
fuelectenerg-3307	287	36	(	(	PUNCT
fuelectenerg-3307	287	37	f	f	PROPN
fuelectenerg-3307	287	38	∂xa	∂xa	PROPN
fuelectenerg-3307	287	39	q	q	PROPN
fuelectenerg-3307	287	40	,	,	PUNCT
fuelectenerg-3307	287	41	xb	xb	PROPN
fuelectenerg-3307	287	42	)	)	PUNCT
fuelectenerg-3307	287	43	,	,	PUNCT
fuelectenerg-3307	287	44	f	f	PROPN
fuelectenerg-3307	287	45	∂xa	∂xa	PROPN
fuelectenerg-3307	287	46	r	r	NOUN
fuelectenerg-3307	287	47	)	)	PUNCT
fuelectenerg-3307	287	48	then	then	ADV
fuelectenerg-3307	287	49	10	10	NUM
fuelectenerg-3307	287	50	:	:	PUNCT
fuelectenerg-3307	287	51	hasxorbd	hasxorbd	PROPN
fuelectenerg-3307	287	52	←	←	PROPN
fuelectenerg-3307	287	53	true	true	ADJ
fuelectenerg-3307	287	54	11	11	NUM
fuelectenerg-3307	287	55	:	:	PUNCT
fuelectenerg-3307	287	56	end	end	VERB
fuelectenerg-3307	287	57	if	if	SCONJ
fuelectenerg-3307	287	58	12	12	NUM
fuelectenerg-3307	287	59	:	:	PUNCT
fuelectenerg-3307	287	60	end	end	NOUN
fuelectenerg-3307	287	61	while	while	SCONJ
fuelectenerg-3307	287	62	13	13	NUM
fuelectenerg-3307	287	63	:	:	PUNCT
fuelectenerg-3307	287	64	end	end	VERB
fuelectenerg-3307	287	65	while	while	SCONJ
fuelectenerg-3307	287	66	14	14	NUM
fuelectenerg-3307	287	67	:	:	PUNCT
fuelectenerg-3307	287	68	return	return	NOUN
fuelectenerg-3307	287	69	(	(	PUNCT
fuelectenerg-3307	287	70	hasxorbd	hasxorbd	PROPN
fuelectenerg-3307	287	71	,	,	PUNCT
fuelectenerg-3307	287	72	xa	xa	PROPN
fuelectenerg-3307	287	73	,	,	PUNCT
fuelectenerg-3307	287	74	xb	xb	PROPN
fuelectenerg-3307	287	75	)	)	PUNCT
fuelectenerg-3307	287	76	230	230	NUM
fuelectenerg-3307	287	77	b.	b.	PROPN
fuelectenerg-3307	287	78	steinbach	steinbach	PROPN
fuelectenerg-3307	287	79	,	,	PUNCT
fuelectenerg-3307	287	80	c.	c.	PROPN
fuelectenerg-3307	287	81	posthoff	posthoff	PROPN
fuelectenerg-3307	287	82	compact	compact	ADJ
fuelectenerg-3307	287	83	xor	xor	PROPN
fuelectenerg-3307	287	84	-	-	PUNCT
fuelectenerg-3307	287	85	bi	bi	NOUN
fuelectenerg-3307	287	86	-	-	NOUN
fuelectenerg-3307	287	87	decomposition	decomposition	NOUN
fuelectenerg-3307	287	88	for	for	ADP
fuelectenerg-3307	287	89	lattices	lattice	NOUN
fuelectenerg-3307	287	90	of	of	ADP
fuelectenerg-3307	287	91	boolean	boolean	ADJ
fuelectenerg-3307	287	92	functions	function	NOUN
fuelectenerg-3307	287	93	231	231	NUM
fuelectenerg-3307	287	94	8	8	NUM
fuelectenerg-3307	287	95	b.	b.	PROPN
fuelectenerg-3307	287	96	steinbach	steinbach	PROPN
fuelectenerg-3307	287	97	and	and	CCONJ
fuelectenerg-3307	287	98	c.	c.	PROPN
fuelectenerg-3307	287	99	posthoff	posthoff	PROPN
fuelectenerg-3307	287	100	:	:	PUNCT
fuelectenerg-3307	287	101	all	all	DET
fuelectenerg-3307	287	102	variables	variable	NOUN
fuelectenerg-3307	287	103	xi	xi	X
fuelectenerg-3307	287	104	of	of	ADP
fuelectenerg-3307	287	105	the	the	DET
fuelectenerg-3307	287	106	initial	initial	ADJ
fuelectenerg-3307	287	107	set	set	NOUN
fuelectenerg-3307	287	108	xc	xc	PROPN
fuelectenerg-3307	288	1	that	that	DET
fuelectenerg-3307	288	2	satisfy	satisfy	VERB
fuelectenerg-3307	288	3	condition	condition	NOUN
fuelectenerg-3307	288	4	(	(	PUNCT
fuelectenerg-3307	288	5	14	14	NUM
fuelectenerg-3307	288	6	)	)	PUNCT
fuelectenerg-3307	288	7	are	be	AUX
fuelectenerg-3307	288	8	used	use	VERB
fuelectenerg-3307	288	9	to	to	PART
fuelectenerg-3307	288	10	transform	transform	VERB
fuelectenerg-3307	288	11	g(xa0,xc0,xi	g(xa0,xc0,xi	NOUN
fuelectenerg-3307	288	12	)	)	PUNCT
fuelectenerg-3307	288	13	to	to	ADP
fuelectenerg-3307	288	14	g′(xa	g′(xa	NOUN
fuelectenerg-3307	288	15	,	,	PUNCT
fuelectenerg-3307	288	16	xc0	xc0	NUM
fuelectenerg-3307	288	17	)	)	PUNCT
fuelectenerg-3307	288	18	by	by	ADP
fuelectenerg-3307	288	19	g′(xa	g′(xa	PROPN
fuelectenerg-3307	288	20	,	,	PUNCT
fuelectenerg-3307	288	21	xc0	xc0	NUM
fuelectenerg-3307	288	22	)	)	PUNCT
fuelectenerg-3307	289	1	=	=	SYM
fuelectenerg-3307	289	2	xi	xi	PROPN
fuelectenerg-3307	289	3	⊕g(xa0,xc0,xi	⊕g(xa0,xc0,xi	PROPN
fuelectenerg-3307	289	4	)	)	PUNCT
fuelectenerg-3307	289	5	(	(	PUNCT
fuelectenerg-3307	289	6	20	20	NUM
fuelectenerg-3307	289	7	)	)	PUNCT
fuelectenerg-3307	289	8	and	and	CCONJ
fuelectenerg-3307	289	9	the	the	DET
fuelectenerg-3307	289	10	associated	associated	ADJ
fuelectenerg-3307	289	11	new	new	ADJ
fuelectenerg-3307	289	12	lattice	lattice	PROPN
fuelectenerg-3307	289	13	l	l	PROPN
fuelectenerg-3307	289	14	〈	〈	PROPN
fuelectenerg-3307	289	15	h′q(xb	h′q(xb	NOUN
fuelectenerg-3307	289	16	,	,	PUNCT
fuelectenerg-3307	289	17	xc0),h′r(xb	xc0),h′r(xb	PROPN
fuelectenerg-3307	289	18	,	,	PUNCT
fuelectenerg-3307	289	19	xc0	xc0	PROPN
fuelectenerg-3307	289	20	)	)	PUNCT
fuelectenerg-3307	289	21	〉	〉	NOUN
fuelectenerg-3307	289	22	is	be	AUX
fuelectenerg-3307	289	23	adjusted	adjust	VERB
fuelectenerg-3307	289	24	by	by	ADP
fuelectenerg-3307	289	25	h′q(xb	h′q(xb	NOUN
fuelectenerg-3307	289	26	,	,	PUNCT
fuelectenerg-3307	289	27	xc0	xc0	PROPN
fuelectenerg-3307	289	28	)	)	PUNCT
fuelectenerg-3307	290	1	=	=	SYM
fuelectenerg-3307	290	2	max	max	PROPN
fuelectenerg-3307	290	3	xi	xi	X
fuelectenerg-3307	290	4	(	(	PUNCT
fuelectenerg-3307	290	5	xi	xi	PROPN
fuelectenerg-3307	290	6	hq(xb	hq(xb	PROPN
fuelectenerg-3307	290	7	,	,	PUNCT
fuelectenerg-3307	290	8	xc0,xi)∨	xc0,xi)∨	PROPN
fuelectenerg-3307	290	9	xi	xi	PROPN
fuelectenerg-3307	290	10	hr(xb	hr(xb	PROPN
fuelectenerg-3307	290	11	,	,	PUNCT
fuelectenerg-3307	290	12	xc0,xi	xc0,xi	PROPN
fuelectenerg-3307	290	13	)	)	PUNCT
fuelectenerg-3307	290	14	)	)	PUNCT
fuelectenerg-3307	290	15	,	,	PUNCT
fuelectenerg-3307	290	16	(	(	PUNCT
fuelectenerg-3307	290	17	21	21	NUM
fuelectenerg-3307	290	18	)	)	PUNCT
fuelectenerg-3307	290	19	h′r(xb	h′r(xb	PROPN
fuelectenerg-3307	290	20	,	,	PUNCT
fuelectenerg-3307	290	21	xc0	xc0	PROPN
fuelectenerg-3307	290	22	)	)	PUNCT
fuelectenerg-3307	291	1	=	=	SYM
fuelectenerg-3307	291	2	max	max	PROPN
fuelectenerg-3307	291	3	xi	xi	X
fuelectenerg-3307	291	4	(	(	PUNCT
fuelectenerg-3307	291	5	xi	xi	PROPN
fuelectenerg-3307	291	6	hr(xb	hr(xb	PROPN
fuelectenerg-3307	291	7	,	,	PUNCT
fuelectenerg-3307	291	8	xc0,xi)∨	xc0,xi)∨	PROPN
fuelectenerg-3307	291	9	xi	xi	PROPN
fuelectenerg-3307	291	10	hq(xb	hq(xb	PROPN
fuelectenerg-3307	291	11	,	,	PUNCT
fuelectenerg-3307	291	12	xc0,xi	xc0,xi	PROPN
fuelectenerg-3307	291	13	)	)	PUNCT
fuelectenerg-3307	291	14	)	)	PUNCT
fuelectenerg-3307	291	15	.	.	PUNCT
fuelectenerg-3307	292	1	(	(	PUNCT
fuelectenerg-3307	292	2	22	22	NUM
fuelectenerg-3307	292	3	)	)	PUNCT
fuelectenerg-3307	292	4	a	a	DET
fuelectenerg-3307	292	5	precondition	precondition	NOUN
fuelectenerg-3307	292	6	for	for	ADP
fuelectenerg-3307	292	7	a	a	DET
fuelectenerg-3307	292	8	compact	compact	ADJ
fuelectenerg-3307	292	9	xor	xor	PROPN
fuelectenerg-3307	292	10	-	-	PUNCT
fuelectenerg-3307	292	11	bi	bi	NOUN
fuelectenerg-3307	292	12	-	-	NOUN
fuelectenerg-3307	292	13	decomposition	decomposition	NOUN
fuelectenerg-3307	292	14	is	be	AUX
fuelectenerg-3307	292	15	the	the	DET
fuelectenerg-3307	292	16	existence	existence	NOUN
fuelectenerg-3307	292	17	of	of	ADP
fuelectenerg-3307	292	18	two	two	NUM
fuelectenerg-3307	292	19	variables	variable	NOUN
fuelectenerg-3307	292	20	xa	xa	PROPN
fuelectenerg-3307	292	21	and	and	CCONJ
fuelectenerg-3307	292	22	xb	xb	PROPN
fuelectenerg-3307	292	23	for	for	ADP
fuelectenerg-3307	292	24	which	which	PRON
fuelectenerg-3307	292	25	the	the	DET
fuelectenerg-3307	292	26	given	give	VERB
fuelectenerg-3307	292	27	lattice	lattice	PROPN
fuelectenerg-3307	292	28	l	l	X
fuelectenerg-3307	292	29	〈	〈	PROPN
fuelectenerg-3307	292	30	fq(x	fq(x	NOUN
fuelectenerg-3307	292	31	)	)	PUNCT
fuelectenerg-3307	292	32	,	,	PUNCT
fuelectenerg-3307	292	33	fr(x	fr(x	X
fuelectenerg-3307	292	34	)	)	PUNCT
fuelectenerg-3307	292	35	〉	〉	NOUN
fuelectenerg-3307	292	36	contains	contain	VERB
fuelectenerg-3307	292	37	at	at	ADP
fuelectenerg-3307	292	38	least	least	ADV
fuelectenerg-3307	292	39	one	one	NUM
fuelectenerg-3307	292	40	function	function	NOUN
fuelectenerg-3307	292	41	which	which	PRON
fuelectenerg-3307	292	42	has	have	VERB
fuelectenerg-3307	292	43	a	a	DET
fuelectenerg-3307	292	44	strong	strong	ADJ
fuelectenerg-3307	292	45	xor	xor	PROPN
fuelectenerg-3307	292	46	-	-	PUNCT
fuelectenerg-3307	292	47	bi	bi	NOUN
fuelectenerg-3307	292	48	-	-	NOUN
fuelectenerg-3307	292	49	decomposition	decomposition	NOUN
fuelectenerg-3307	292	50	with	with	ADP
fuelectenerg-3307	292	51	regard	regard	NOUN
fuelectenerg-3307	292	52	to	to	ADP
fuelectenerg-3307	292	53	these	these	DET
fuelectenerg-3307	292	54	variables	variable	NOUN
fuelectenerg-3307	292	55	.	.	PUNCT
fuelectenerg-3307	293	1	algorithm	algorithm	NOUN
fuelectenerg-3307	293	2	1	1	NUM
fuelectenerg-3307	293	3	analyzes	analyze	VERB
fuelectenerg-3307	293	4	whether	whether	SCONJ
fuelectenerg-3307	293	5	there	there	PRON
fuelectenerg-3307	293	6	is	be	VERB
fuelectenerg-3307	293	7	an	an	DET
fuelectenerg-3307	293	8	xor	xor	PROPN
fuelectenerg-3307	293	9	-	-	PUNCT
fuelectenerg-3307	293	10	bi	bi	NOUN
fuelectenerg-3307	293	11	-	-	NOUN
fuelectenerg-3307	293	12	decomposition	decomposition	NOUN
fuelectenerg-3307	293	13	for	for	ADP
fuelectenerg-3307	293	14	the	the	DET
fuelectenerg-3307	293	15	given	give	VERB
fuelectenerg-3307	293	16	lattice	lattice	NOUN
fuelectenerg-3307	293	17	with	with	ADP
fuelectenerg-3307	293	18	regard	regard	NOUN
fuelectenerg-3307	293	19	to	to	ADP
fuelectenerg-3307	293	20	one	one	NUM
fuelectenerg-3307	293	21	pair	pair	NOUN
fuelectenerg-3307	293	22	of	of	ADP
fuelectenerg-3307	293	23	variables	variable	NOUN
fuelectenerg-3307	293	24	xa	xa	PROPN
fuelectenerg-3307	293	25	and	and	CCONJ
fuelectenerg-3307	293	26	xb	xb	PROPN
fuelectenerg-3307	293	27	.	.	PUNCT
fuelectenerg-3307	294	1	algorithm	algorithm	PROPN
fuelectenerg-3307	294	2	1	1	NUM
fuelectenerg-3307	294	3	determines	determine	VERB
fuelectenerg-3307	294	4	these	these	DET
fuelectenerg-3307	294	5	variables	variable	NOUN
fuelectenerg-3307	294	6	if	if	SCONJ
fuelectenerg-3307	294	7	they	they	PRON
fuelectenerg-3307	294	8	exist	exist	VERB
fuelectenerg-3307	294	9	.	.	PUNCT
fuelectenerg-3307	295	1	algorithm	algorithm	NOUN
fuelectenerg-3307	295	2	1	1	NUM
fuelectenerg-3307	295	3	initial	initial	ADJ
fuelectenerg-3307	295	4	xor	xor	PROPN
fuelectenerg-3307	295	5	-	-	PUNCT
fuelectenerg-3307	295	6	bi	bi	NOUN
fuelectenerg-3307	295	7	-	-	NOUN
fuelectenerg-3307	295	8	decomposition	decomposition	NOUN
fuelectenerg-3307	295	9	of	of	ADP
fuelectenerg-3307	295	10	the	the	DET
fuelectenerg-3307	295	11	lattice	lattice	PROPN
fuelectenerg-3307	295	12	l	l	PROPN
fuelectenerg-3307	295	13	〈	〈	PROPN
fuelectenerg-3307	295	14	fq(x	fq(x	NOUN
fuelectenerg-3307	295	15	)	)	PUNCT
fuelectenerg-3307	295	16	,	,	PUNCT
fuelectenerg-3307	295	17	fr(x	fr(x	X
fuelectenerg-3307	295	18	)	)	PUNCT
fuelectenerg-3307	295	19	〉	〉	NOUN
fuelectenerg-3307	295	20	with	with	ADP
fuelectenerg-3307	295	21	regard	regard	NOUN
fuelectenerg-3307	295	22	to	to	ADP
fuelectenerg-3307	295	23	the	the	DET
fuelectenerg-3307	295	24	variables	variable	NOUN
fuelectenerg-3307	295	25	xa	xa	PROPN
fuelectenerg-3307	295	26	and	and	CCONJ
fuelectenerg-3307	295	27	xb	xb	PROPN
fuelectenerg-3307	295	28	require	require	PROPN
fuelectenerg-3307	295	29	:	:	PUNCT
fuelectenerg-3307	295	30	tvls	tvls	NOUN
fuelectenerg-3307	295	31	of	of	ADP
fuelectenerg-3307	295	32	fq(x)and	fq(x)and	NOUN
fuelectenerg-3307	295	33	fr(x	fr(x	NUM
fuelectenerg-3307	295	34	)	)	PUNCT
fuelectenerg-3307	295	35	in	in	ADP
fuelectenerg-3307	295	36	oda	oda	NOUN
fuelectenerg-3307	295	37	-	-	PUNCT
fuelectenerg-3307	295	38	form	form	NOUN
fuelectenerg-3307	295	39	ensure	ensure	NOUN
fuelectenerg-3307	295	40	:	:	PUNCT
fuelectenerg-3307	296	1	boolean	boolean	ADJ
fuelectenerg-3307	296	2	variable	variable	ADJ
fuelectenerg-3307	296	3	hasxorbd	hasxorbd	NOUN
fuelectenerg-3307	296	4	:	:	PUNCT
fuelectenerg-3307	296	5	it	it	PRON
fuelectenerg-3307	296	6	is	be	AUX
fuelectenerg-3307	296	7	true	true	ADJ
fuelectenerg-3307	296	8	if	if	SCONJ
fuelectenerg-3307	296	9	the	the	DET
fuelectenerg-3307	296	10	given	give	VERB
fuelectenerg-3307	296	11	lattice	lattice	NOUN
fuelectenerg-3307	296	12	contains	contain	VERB
fuelectenerg-3307	296	13	at	at	ADP
fuelectenerg-3307	296	14	least	least	ADV
fuelectenerg-3307	296	15	one	one	NUM
fuelectenerg-3307	296	16	xor	xor	PROPN
fuelectenerg-3307	296	17	-	-	PUNCT
fuelectenerg-3307	296	18	bi	bi	ADJ
fuelectenerg-3307	296	19	-	-	ADJ
fuelectenerg-3307	296	20	decomposable	decomposable	ADJ
fuelectenerg-3307	296	21	function	function	NOUN
fuelectenerg-3307	296	22	and	and	CCONJ
fuelectenerg-3307	296	23	f	f	PROPN
fuelectenerg-3307	296	24	alse	alse	AUX
fuelectenerg-3307	296	25	otherwise	otherwise	ADV
fuelectenerg-3307	296	26	ensure	ensure	VERB
fuelectenerg-3307	296	27	:	:	PUNCT
fuelectenerg-3307	296	28	set	set	NOUN
fuelectenerg-3307	296	29	of	of	ADP
fuelectenerg-3307	296	30	variables	variable	NOUN
fuelectenerg-3307	296	31	(	(	PUNCT
fuelectenerg-3307	296	32	sv	sv	NOUN
fuelectenerg-3307	296	33	)	)	PUNCT
fuelectenerg-3307	296	34	of	of	ADP
fuelectenerg-3307	296	35	xa	xa	PROPN
fuelectenerg-3307	296	36	and	and	CCONJ
fuelectenerg-3307	296	37	xb	xb	PROPN
fuelectenerg-3307	296	38	:	:	PUNCT
fuelectenerg-3307	296	39	variables	variable	NOUN
fuelectenerg-3307	296	40	for	for	ADP
fuelectenerg-3307	296	41	which	which	PRON
fuelectenerg-3307	296	42	the	the	DET
fuelectenerg-3307	296	43	lattice	lattice	NOUN
fuelectenerg-3307	296	44	contains	contain	VERB
fuelectenerg-3307	296	45	at	at	ADV
fuelectenerg-3307	296	46	least	least	ADV
fuelectenerg-3307	296	47	one	one	NUM
fuelectenerg-3307	296	48	function	function	NOUN
fuelectenerg-3307	296	49	with	with	ADP
fuelectenerg-3307	296	50	a	a	DET
fuelectenerg-3307	296	51	strong	strong	ADJ
fuelectenerg-3307	296	52	xor	xor	PROPN
fuelectenerg-3307	296	53	-	-	PUNCT
fuelectenerg-3307	296	54	bi	bi	NOUN
fuelectenerg-3307	296	55	-	-	NOUN
fuelectenerg-3307	296	56	decomposition	decomposition	NOUN
fuelectenerg-3307	296	57	1	1	NUM
fuelectenerg-3307	296	58	:	:	PUNCT
fuelectenerg-3307	296	59	all	all	DET
fuelectenerg-3307	296	60	var	var	PROPN
fuelectenerg-3307	296	61	←	←	PROPN
fuelectenerg-3307	296	62	sv	sv	PROPN
fuelectenerg-3307	296	63	uni	uni	PROPN
fuelectenerg-3307	296	64	(	(	PUNCT
fuelectenerg-3307	296	65	fq	fq	PROPN
fuelectenerg-3307	296	66	,	,	PUNCT
fuelectenerg-3307	296	67	fr	fr	PROPN
fuelectenerg-3307	296	68	)	)	PUNCT
fuelectenerg-3307	296	69	2	2	NUM
fuelectenerg-3307	296	70	:	:	PUNCT
fuelectenerg-3307	296	71	hasxorbd	hasxorbd	PROPN
fuelectenerg-3307	296	72	←	←	PROPN
fuelectenerg-3307	296	73	f	f	PROPN
fuelectenerg-3307	296	74	alse	alse	PROPN
fuelectenerg-3307	296	75	3	3	NUM
fuelectenerg-3307	296	76	:	:	PUNCT
fuelectenerg-3307	296	77	xa	xa	PROPN
fuelectenerg-3307	296	78	←	←	PROPN
fuelectenerg-3307	296	79	/0	/0	PROPN
fuelectenerg-3307	296	80	4	4	NUM
fuelectenerg-3307	296	81	:	:	PUNCT
fuelectenerg-3307	296	82	while	while	SCONJ
fuelectenerg-3307	296	83	hasxorbd	hasxorbd	ADJ
fuelectenerg-3307	296	84	∧sv	∧sv	PROPN
fuelectenerg-3307	296	85	next(all	next(all	PROPN
fuelectenerg-3307	296	86	var	var	PROPN
fuelectenerg-3307	296	87	,	,	PUNCT
fuelectenerg-3307	296	88	xa	xa	PROPN
fuelectenerg-3307	296	89	,	,	PUNCT
fuelectenerg-3307	296	90	xa	xa	PROPN
fuelectenerg-3307	296	91	)	)	PUNCT
fuelectenerg-3307	296	92	do	do	VERB
fuelectenerg-3307	296	93	5	5	NUM
fuelectenerg-3307	296	94	:	:	PUNCT
fuelectenerg-3307	296	95	xb	xb	PROPN
fuelectenerg-3307	296	96	←	←	PROPN
fuelectenerg-3307	296	97	xa	xa	PROPN
fuelectenerg-3307	296	98	6	6	NUM
fuelectenerg-3307	296	99	:	:	PUNCT
fuelectenerg-3307	296	100	f	f	PROPN
fuelectenerg-3307	296	101	∂xa	∂xa	PROPN
fuelectenerg-3307	296	102	q	q	PROPN
fuelectenerg-3307	296	103	←	←	PROPN
fuelectenerg-3307	296	104	isc(maxk	isc(maxk	PROPN
fuelectenerg-3307	296	105	(	(	PUNCT
fuelectenerg-3307	296	106	fq	fq	PROPN
fuelectenerg-3307	296	107	,	,	PUNCT
fuelectenerg-3307	296	108	xa),maxk	xa),maxk	PROPN
fuelectenerg-3307	296	109	(	(	PUNCT
fuelectenerg-3307	296	110	fr	fr	PROPN
fuelectenerg-3307	296	111	,	,	PUNCT
fuelectenerg-3307	296	112	xa	xa	PROPN
fuelectenerg-3307	296	113	)	)	PUNCT
fuelectenerg-3307	296	114	)	)	PUNCT
fuelectenerg-3307	297	1	7	7	NUM
fuelectenerg-3307	297	2	:	:	PUNCT
fuelectenerg-3307	297	3	f	f	PROPN
fuelectenerg-3307	297	4	∂xa	∂xa	PROPN
fuelectenerg-3307	297	5	r	r	PROPN
fuelectenerg-3307	297	6	←	←	PROPN
fuelectenerg-3307	297	7	uni(mink	uni(mink	NOUN
fuelectenerg-3307	297	8	(	(	PUNCT
fuelectenerg-3307	297	9	fq	fq	PROPN
fuelectenerg-3307	297	10	,	,	PUNCT
fuelectenerg-3307	297	11	xa),mink	xa),mink	PROPN
fuelectenerg-3307	297	12	(	(	PUNCT
fuelectenerg-3307	297	13	fr	fr	PROPN
fuelectenerg-3307	297	14	,	,	PUNCT
fuelectenerg-3307	297	15	xa	xa	PROPN
fuelectenerg-3307	297	16	)	)	PUNCT
fuelectenerg-3307	297	17	)	)	PUNCT
fuelectenerg-3307	297	18	8	8	NUM
fuelectenerg-3307	297	19	:	:	PUNCT
fuelectenerg-3307	297	20	while	while	SCONJ
fuelectenerg-3307	297	21	hasxorbd	hasxorbd	ADJ
fuelectenerg-3307	297	22	∧sv	∧sv	PROPN
fuelectenerg-3307	297	23	next(all	next(all	PROPN
fuelectenerg-3307	297	24	var	var	PROPN
fuelectenerg-3307	297	25	,	,	PUNCT
fuelectenerg-3307	297	26	xb	xb	PROPN
fuelectenerg-3307	297	27	,	,	PUNCT
fuelectenerg-3307	297	28	xb	xb	PROPN
fuelectenerg-3307	297	29	)	)	PUNCT
fuelectenerg-3307	297	30	do	do	VERB
fuelectenerg-3307	297	31	9	9	NUM
fuelectenerg-3307	297	32	:	:	PUNCT
fuelectenerg-3307	297	33	if	if	SCONJ
fuelectenerg-3307	297	34	te	te	PROPN
fuelectenerg-3307	297	35	isc(maxk	isc(maxk	ADP
fuelectenerg-3307	297	36	(	(	PUNCT
fuelectenerg-3307	297	37	f	f	PROPN
fuelectenerg-3307	297	38	∂xa	∂xa	PROPN
fuelectenerg-3307	297	39	q	q	PROPN
fuelectenerg-3307	297	40	,	,	PUNCT
fuelectenerg-3307	297	41	xb	xb	PROPN
fuelectenerg-3307	297	42	)	)	PUNCT
fuelectenerg-3307	297	43	,	,	PUNCT
fuelectenerg-3307	297	44	f	f	PROPN
fuelectenerg-3307	297	45	∂xa	∂xa	PROPN
fuelectenerg-3307	297	46	r	r	NOUN
fuelectenerg-3307	297	47	)	)	PUNCT
fuelectenerg-3307	297	48	then	then	ADV
fuelectenerg-3307	297	49	10	10	NUM
fuelectenerg-3307	297	50	:	:	PUNCT
fuelectenerg-3307	297	51	hasxorbd	hasxorbd	PROPN
fuelectenerg-3307	297	52	←	←	PROPN
fuelectenerg-3307	297	53	true	true	ADJ
fuelectenerg-3307	297	54	11	11	NUM
fuelectenerg-3307	297	55	:	:	PUNCT
fuelectenerg-3307	297	56	end	end	VERB
fuelectenerg-3307	297	57	if	if	SCONJ
fuelectenerg-3307	297	58	12	12	NUM
fuelectenerg-3307	297	59	:	:	PUNCT
fuelectenerg-3307	297	60	end	end	NOUN
fuelectenerg-3307	297	61	while	while	SCONJ
fuelectenerg-3307	297	62	13	13	NUM
fuelectenerg-3307	297	63	:	:	PUNCT
fuelectenerg-3307	297	64	end	end	VERB
fuelectenerg-3307	297	65	while	while	SCONJ
fuelectenerg-3307	297	66	14	14	NUM
fuelectenerg-3307	297	67	:	:	PUNCT
fuelectenerg-3307	297	68	return	return	NOUN
fuelectenerg-3307	297	69	(	(	PUNCT
fuelectenerg-3307	297	70	hasxorbd	hasxorbd	PROPN
fuelectenerg-3307	297	71	,	,	PUNCT
fuelectenerg-3307	297	72	xa	xa	PROPN
fuelectenerg-3307	297	73	,	,	PUNCT
fuelectenerg-3307	297	74	xb	xb	PROPN
fuelectenerg-3307	297	75	)	)	PUNCT
fuelectenerg-3307	297	76	compact	compact	ADJ
fuelectenerg-3307	297	77	xor	xor	PROPN
fuelectenerg-3307	297	78	-	-	PUNCT
fuelectenerg-3307	297	79	bi	bi	NOUN
fuelectenerg-3307	297	80	-	-	NOUN
fuelectenerg-3307	297	81	decomposition	decomposition	NOUN
fuelectenerg-3307	297	82	for	for	ADP
fuelectenerg-3307	297	83	lattices	lattice	NOUN
fuelectenerg-3307	297	84	of	of	ADP
fuelectenerg-3307	297	85	boolean	boolean	ADJ
fuelectenerg-3307	297	86	functions	function	NOUN
fuelectenerg-3307	297	87	9	9	NUM
fuelectenerg-3307	297	88	algorithm	algorithm	NOUN
fuelectenerg-3307	297	89	1	1	NUM
fuelectenerg-3307	297	90	uses	use	VERB
fuelectenerg-3307	297	91	two	two	NUM
fuelectenerg-3307	297	92	nested	nested	ADJ
fuelectenerg-3307	297	93	while	while	NOUN
fuelectenerg-3307	297	94	-	-	PUNCT
fuelectenerg-3307	297	95	loops	loop	NOUN
fuelectenerg-3307	297	96	for	for	ADP
fuelectenerg-3307	297	97	the	the	DET
fuelectenerg-3307	297	98	selection	selection	NOUN
fuelectenerg-3307	297	99	of	of	ADP
fuelectenerg-3307	297	100	the	the	DET
fuelectenerg-3307	297	101	variables	variable	NOUN
fuelectenerg-3307	297	102	xa	xa	PROPN
fuelectenerg-3307	297	103	and	and	CCONJ
fuelectenerg-3307	297	104	xb	xb	PROPN
fuelectenerg-3307	297	105	.	.	PUNCT
fuelectenerg-3307	298	1	the	the	DET
fuelectenerg-3307	298	2	basic	basic	ADJ
fuelectenerg-3307	298	3	set	set	NOUN
fuelectenerg-3307	298	4	of	of	ADP
fuelectenerg-3307	298	5	all	all	DET
fuelectenerg-3307	298	6	variables	variable	NOUN
fuelectenerg-3307	298	7	is	be	AUX
fuelectenerg-3307	298	8	prepared	prepare	VERB
fuelectenerg-3307	298	9	in	in	ADP
fuelectenerg-3307	298	10	line	line	NOUN
fuelectenerg-3307	298	11	1	1	NUM
fuelectenerg-3307	298	12	using	use	VERB
fuelectenerg-3307	298	13	the	the	DET
fuelectenerg-3307	298	14	xboolefunction	xboolefunction	NOUN
fuelectenerg-3307	298	15	sv	sv	PROPN
fuelectenerg-3307	298	16	uni	uni	PROPN
fuelectenerg-3307	298	17	(	(	PUNCT
fuelectenerg-3307	298	18	set	set	NOUN
fuelectenerg-3307	298	19	of	of	ADP
fuelectenerg-3307	298	20	variables	variable	NOUN
fuelectenerg-3307	298	21	union	union	PROPN
fuelectenerg-3307	298	22	)	)	PUNCT
fuelectenerg-3307	298	23	.	.	PUNCT
fuelectenerg-3307	299	1	the	the	DET
fuelectenerg-3307	299	2	sequential	sequential	ADJ
fuelectenerg-3307	299	3	selection	selection	NOUN
fuelectenerg-3307	299	4	of	of	ADP
fuelectenerg-3307	299	5	the	the	DET
fuelectenerg-3307	299	6	variables	variable	NOUN
fuelectenerg-3307	299	7	xa	xa	PROPN
fuelectenerg-3307	299	8	and	and	CCONJ
fuelectenerg-3307	299	9	xb	xb	PROPN
fuelectenerg-3307	299	10	is	be	AUX
fuelectenerg-3307	299	11	realized	realize	VERB
fuelectenerg-3307	299	12	by	by	ADP
fuelectenerg-3307	299	13	two	two	NUM
fuelectenerg-3307	299	14	xboole	xboole	NOUN
fuelectenerg-3307	299	15	-	-	PUNCT
fuelectenerg-3307	299	16	functions	function	NOUN
fuelectenerg-3307	299	17	sv	sv	INTJ
fuelectenerg-3307	299	18	next	next	ADV
fuelectenerg-3307	299	19	(	(	PUNCT
fuelectenerg-3307	299	20	set	set	VERB
fuelectenerg-3307	299	21	of	of	ADP
fuelectenerg-3307	299	22	variables	variable	NOUN
fuelectenerg-3307	299	23	next	next	ADJ
fuelectenerg-3307	299	24	variable	variable	NOUN
fuelectenerg-3307	299	25	)	)	PUNCT
fuelectenerg-3307	299	26	that	that	PRON
fuelectenerg-3307	299	27	control	control	VERB
fuelectenerg-3307	299	28	these	these	DET
fuelectenerg-3307	299	29	while	while	NOUN
fuelectenerg-3307	299	30	-	-	PUNCT
fuelectenerg-3307	299	31	loops	loop	NOUN
fuelectenerg-3307	299	32	.	.	PUNCT
fuelectenerg-3307	300	1	the	the	DET
fuelectenerg-3307	300	2	variable	variable	ADJ
fuelectenerg-3307	300	3	hasxorbd	hasxorbd	NOUN
fuelectenerg-3307	300	4	is	be	AUX
fuelectenerg-3307	300	5	used	use	VERB
fuelectenerg-3307	300	6	to	to	PART
fuelectenerg-3307	300	7	indicate	indicate	VERB
fuelectenerg-3307	300	8	the	the	DET
fuelectenerg-3307	300	9	boolean	boolean	ADJ
fuelectenerg-3307	300	10	result	result	NOUN
fuelectenerg-3307	300	11	whether	whether	SCONJ
fuelectenerg-3307	300	12	the	the	DET
fuelectenerg-3307	300	13	lattice	lattice	NOUN
fuelectenerg-3307	300	14	contains	contain	VERB
fuelectenerg-3307	300	15	at	at	ADV
fuelectenerg-3307	300	16	least	least	ADV
fuelectenerg-3307	300	17	one	one	NUM
fuelectenerg-3307	300	18	function	function	NOUN
fuelectenerg-3307	300	19	with	with	ADP
fuelectenerg-3307	300	20	a	a	DET
fuelectenerg-3307	300	21	strong	strong	ADJ
fuelectenerg-3307	300	22	xor	xor	PROPN
fuelectenerg-3307	300	23	-	-	PUNCT
fuelectenerg-3307	300	24	bi	bi	NOUN
fuelectenerg-3307	300	25	-	-	NOUN
fuelectenerg-3307	300	26	decomposition	decomposition	NOUN
fuelectenerg-3307	300	27	.	.	PUNCT
fuelectenerg-3307	301	1	this	this	DET
fuelectenerg-3307	301	2	variable	variable	NOUN
fuelectenerg-3307	301	3	is	be	AUX
fuelectenerg-3307	301	4	also	also	ADV
fuelectenerg-3307	301	5	used	use	VERB
fuelectenerg-3307	301	6	to	to	PART
fuelectenerg-3307	301	7	terminate	terminate	VERB
fuelectenerg-3307	301	8	both	both	DET
fuelectenerg-3307	301	9	while	while	NOUN
fuelectenerg-3307	301	10	-	-	PUNCT
fuelectenerg-3307	301	11	loops	loop	NOUN
fuelectenerg-3307	301	12	if	if	SCONJ
fuelectenerg-3307	301	13	a	a	DET
fuelectenerg-3307	301	14	strong	strong	ADJ
fuelectenerg-3307	301	15	xor	xor	PROPN
fuelectenerg-3307	301	16	-	-	PUNCT
fuelectenerg-3307	301	17	bi	bi	NOUN
fuelectenerg-3307	301	18	-	-	NOUN
fuelectenerg-3307	301	19	decomposition	decomposition	NOUN
fuelectenerg-3307	301	20	is	be	AUX
fuelectenerg-3307	301	21	detected	detect	VERB
fuelectenerg-3307	301	22	.	.	PUNCT
fuelectenerg-3307	302	1	xboole	xboole	NOUN
fuelectenerg-3307	302	2	-	-	PUNCT
fuelectenerg-3307	302	3	functions	function	NOUN
fuelectenerg-3307	302	4	isc	isc	PROPN
fuelectenerg-3307	302	5	(	(	PUNCT
fuelectenerg-3307	302	6	intersection	intersection	NOUN
fuelectenerg-3307	302	7	)	)	PUNCT
fuelectenerg-3307	302	8	,	,	PUNCT
fuelectenerg-3307	302	9	uni	uni	PROPN
fuelectenerg-3307	302	10	(	(	PUNCT
fuelectenerg-3307	302	11	union	union	NOUN
fuelectenerg-3307	302	12	)	)	PUNCT
fuelectenerg-3307	302	13	,	,	PUNCT
fuelectenerg-3307	302	14	maxk	maxk	NOUN
fuelectenerg-3307	302	15	(	(	PUNCT
fuelectenerg-3307	302	16	k	k	ADJ
fuelectenerg-3307	302	17	-	-	ADJ
fuelectenerg-3307	302	18	fold	fold	ADJ
fuelectenerg-3307	302	19	maximum	maximum	NOUN
fuelectenerg-3307	302	20	)	)	PUNCT
fuelectenerg-3307	302	21	,	,	PUNCT
fuelectenerg-3307	302	22	and	and	CCONJ
fuelectenerg-3307	302	23	mink	mink	NOUN
fuelectenerg-3307	302	24	(	(	PUNCT
fuelectenerg-3307	302	25	k	k	ADJ
fuelectenerg-3307	302	26	-	-	ADJ
fuelectenerg-3307	302	27	fold	fold	ADJ
fuelectenerg-3307	302	28	minimum	minimum	NOUN
fuelectenerg-3307	302	29	)	)	PUNCT
fuelectenerg-3307	302	30	calculate	calculate	NOUN
fuelectenerg-3307	302	31	in	in	ADP
fuelectenerg-3307	302	32	lines	line	NOUN
fuelectenerg-3307	302	33	6	6	NUM
fuelectenerg-3307	302	34	and	and	CCONJ
fuelectenerg-3307	302	35	7	7	NUM
fuelectenerg-3307	302	36	the	the	DET
fuelectenerg-3307	302	37	mark	mark	NOUN
fuelectenerg-3307	302	38	functions	function	NOUN
fuelectenerg-3307	302	39	of	of	ADP
fuelectenerg-3307	302	40	the	the	DET
fuelectenerg-3307	302	41	derivative	derivative	NOUN
fuelectenerg-3307	302	42	of	of	ADP
fuelectenerg-3307	302	43	the	the	DET
fuelectenerg-3307	302	44	given	give	VERB
fuelectenerg-3307	302	45	lattice	lattice	NOUN
fuelectenerg-3307	302	46	with	with	ADP
fuelectenerg-3307	302	47	regard	regard	NOUN
fuelectenerg-3307	302	48	to	to	ADP
fuelectenerg-3307	302	49	the	the	DET
fuelectenerg-3307	302	50	single	single	ADJ
fuelectenerg-3307	302	51	variables	variable	NOUN
fuelectenerg-3307	302	52	xa	xa	PROPN
fuelectenerg-3307	302	53	.	.	PUNCT
fuelectenerg-3307	303	1	xboolefunction	xboolefunction	PROPN
fuelectenerg-3307	303	2	te	te	PROPN
fuelectenerg-3307	303	3	isc	isc	PROPN
fuelectenerg-3307	303	4	(	(	PUNCT
fuelectenerg-3307	303	5	test	test	NOUN
fuelectenerg-3307	303	6	empty	empty	ADJ
fuelectenerg-3307	303	7	intersection	intersection	NOUN
fuelectenerg-3307	303	8	)	)	PUNCT
fuelectenerg-3307	303	9	checks	check	NOUN
fuelectenerg-3307	303	10	in	in	ADP
fuelectenerg-3307	303	11	line	line	NOUN
fuelectenerg-3307	303	12	9	9	NUM
fuelectenerg-3307	303	13	condition	condition	NOUN
fuelectenerg-3307	303	14	(	(	PUNCT
fuelectenerg-3307	303	15	3	3	NUM
fuelectenerg-3307	303	16	)	)	PUNCT
fuelectenerg-3307	303	17	for	for	ADP
fuelectenerg-3307	303	18	the	the	DET
fuelectenerg-3307	303	19	strong	strong	ADJ
fuelectenerg-3307	303	20	xor	xor	PROPN
fuelectenerg-3307	303	21	-	-	PUNCT
fuelectenerg-3307	303	22	bi	bi	NOUN
fuelectenerg-3307	303	23	-	-	NOUN
fuelectenerg-3307	303	24	decomposition	decomposition	NOUN
fuelectenerg-3307	303	25	with	with	ADP
fuelectenerg-3307	303	26	regard	regard	NOUN
fuelectenerg-3307	303	27	to	to	ADP
fuelectenerg-3307	303	28	the	the	DET
fuelectenerg-3307	303	29	actually	actually	ADV
fuelectenerg-3307	303	30	selected	select	VERB
fuelectenerg-3307	303	31	variables	variable	NOUN
fuelectenerg-3307	303	32	xa	xa	PROPN
fuelectenerg-3307	303	33	and	and	CCONJ
fuelectenerg-3307	303	34	xb	xb	PROPN
fuelectenerg-3307	303	35	.	.	PUNCT
fuelectenerg-3307	304	1	in	in	ADP
fuelectenerg-3307	304	2	the	the	DET
fuelectenerg-3307	304	3	case	case	NOUN
fuelectenerg-3307	304	4	that	that	SCONJ
fuelectenerg-3307	304	5	this	this	DET
fuelectenerg-3307	304	6	condition	condition	NOUN
fuelectenerg-3307	304	7	is	be	AUX
fuelectenerg-3307	304	8	satisfied	satisfied	ADJ
fuelectenerg-3307	304	9	,	,	PUNCT
fuelectenerg-3307	304	10	the	the	DET
fuelectenerg-3307	304	11	control	control	NOUN
fuelectenerg-3307	304	12	variable	variable	ADJ
fuelectenerg-3307	304	13	hasxorbd	hasxorbd	NOUN
fuelectenerg-3307	304	14	is	be	AUX
fuelectenerg-3307	304	15	changed	change	VERB
fuelectenerg-3307	304	16	to	to	ADP
fuelectenerg-3307	304	17	the	the	DET
fuelectenerg-3307	304	18	value	value	NOUN
fuelectenerg-3307	304	19	true	true	ADJ
fuelectenerg-3307	304	20	in	in	ADP
fuelectenerg-3307	304	21	line	line	NOUN
fuelectenerg-3307	304	22	10	10	NUM
fuelectenerg-3307	304	23	.	.	PUNCT
fuelectenerg-3307	305	1	algorithm	algorithm	PROPN
fuelectenerg-3307	305	2	2	2	NUM
fuelectenerg-3307	305	3	extends	extend	VERB
fuelectenerg-3307	305	4	a	a	DET
fuelectenerg-3307	305	5	found	find	VERB
fuelectenerg-3307	305	6	initial	initial	ADJ
fuelectenerg-3307	305	7	xor	xor	PROPN
fuelectenerg-3307	305	8	-	-	PUNCT
fuelectenerg-3307	305	9	bi	bi	NOUN
fuelectenerg-3307	305	10	-	-	NOUN
fuelectenerg-3307	305	11	decomposition	decomposition	NOUN
fuelectenerg-3307	305	12	to	to	ADP
fuelectenerg-3307	305	13	a	a	DET
fuelectenerg-3307	305	14	compact	compact	ADJ
fuelectenerg-3307	305	15	one	one	NUM
fuelectenerg-3307	305	16	.	.	PUNCT
fuelectenerg-3307	306	1	initial	initial	ADJ
fuelectenerg-3307	306	2	steps	step	NOUN
fuelectenerg-3307	306	3	determine	determine	VERB
fuelectenerg-3307	306	4	all	all	DET
fuelectenerg-3307	306	5	variables	variable	NOUN
fuelectenerg-3307	306	6	(	(	PUNCT
fuelectenerg-3307	306	7	line	line	NOUN
fuelectenerg-3307	306	8	1	1	NUM
fuelectenerg-3307	306	9	)	)	PUNCT
fuelectenerg-3307	306	10	,	,	PUNCT
fuelectenerg-3307	306	11	the	the	DET
fuelectenerg-3307	306	12	basic	basic	ADJ
fuelectenerg-3307	306	13	sets	set	NOUN
fuelectenerg-3307	306	14	of	of	ADP
fuelectenerg-3307	306	15	commonly	commonly	ADV
fuelectenerg-3307	306	16	used	use	VERB
fuelectenerg-3307	306	17	variables	variable	NOUN
fuelectenerg-3307	306	18	xc	xc	PROPN
fuelectenerg-3307	307	1	(	(	PUNCT
fuelectenerg-3307	307	2	line	line	NOUN
fuelectenerg-3307	307	3	2	2	NUM
fuelectenerg-3307	307	4	)	)	PUNCT
fuelectenerg-3307	307	5	and	and	CCONJ
fuelectenerg-3307	307	6	dedicated	dedicated	ADJ
fuelectenerg-3307	307	7	variables	variable	NOUN
fuelectenerg-3307	307	8	xb	xb	X
fuelectenerg-3307	307	9	(	(	PUNCT
fuelectenerg-3307	307	10	line	line	NOUN
fuelectenerg-3307	307	11	3	3	NUM
fuelectenerg-3307	307	12	)	)	PUNCT
fuelectenerg-3307	307	13	,	,	PUNCT
fuelectenerg-3307	307	14	and	and	CCONJ
fuelectenerg-3307	307	15	the	the	DET
fuelectenerg-3307	307	16	precondition	precondition	NOUN
fuelectenerg-3307	307	17	(	(	PUNCT
fuelectenerg-3307	307	18	line	line	NOUN
fuelectenerg-3307	307	19	4	4	NUM
fuelectenerg-3307	307	20	)	)	PUNCT
fuelectenerg-3307	307	21	for	for	ADP
fuelectenerg-3307	307	22	the	the	DET
fuelectenerg-3307	307	23	selection	selection	NOUN
fuelectenerg-3307	307	24	of	of	ADP
fuelectenerg-3307	307	25	variables	variable	NOUN
fuelectenerg-3307	307	26	xb	xb	PUNCT
fuelectenerg-3307	307	27	by	by	ADP
fuelectenerg-3307	307	28	means	mean	NOUN
fuelectenerg-3307	307	29	of	of	ADP
fuelectenerg-3307	307	30	the	the	DET
fuelectenerg-3307	307	31	xboole	xboole	NOUN
fuelectenerg-3307	307	32	-	-	PUNCT
fuelectenerg-3307	307	33	function	function	NOUN
fuelectenerg-3307	307	34	sv	sv	INTJ
fuelectenerg-3307	307	35	next	next	ADV
fuelectenerg-3307	307	36	in	in	ADP
fuelectenerg-3307	307	37	line	line	NOUN
fuelectenerg-3307	307	38	8	8	NUM
fuelectenerg-3307	307	39	.	.	PUNCT
fuelectenerg-3307	308	1	the	the	DET
fuelectenerg-3307	308	2	mark	mark	NOUN
fuelectenerg-3307	308	3	functions	function	NOUN
fuelectenerg-3307	308	4	of	of	ADP
fuelectenerg-3307	308	5	the	the	DET
fuelectenerg-3307	308	6	derivative	derivative	NOUN
fuelectenerg-3307	308	7	of	of	ADP
fuelectenerg-3307	308	8	the	the	DET
fuelectenerg-3307	308	9	given	give	VERB
fuelectenerg-3307	308	10	lattice	lattice	NOUN
fuelectenerg-3307	308	11	with	with	ADP
fuelectenerg-3307	308	12	regard	regard	NOUN
fuelectenerg-3307	308	13	to	to	ADP
fuelectenerg-3307	308	14	the	the	DET
fuelectenerg-3307	308	15	single	single	ADJ
fuelectenerg-3307	308	16	variables	variable	NOUN
fuelectenerg-3307	308	17	xa	xa	PROPN
fuelectenerg-3307	308	18	are	be	AUX
fuelectenerg-3307	308	19	needed	need	VERB
fuelectenerg-3307	308	20	in	in	ADP
fuelectenerg-3307	308	21	condition	condition	NOUN
fuelectenerg-3307	308	22	(	(	PUNCT
fuelectenerg-3307	308	23	3	3	NUM
fuelectenerg-3307	308	24	)	)	PUNCT
fuelectenerg-3307	308	25	to	to	PART
fuelectenerg-3307	308	26	decide	decide	VERB
fuelectenerg-3307	308	27	about	about	ADP
fuelectenerg-3307	308	28	the	the	DET
fuelectenerg-3307	308	29	possibility	possibility	NOUN
fuelectenerg-3307	308	30	to	to	PART
fuelectenerg-3307	308	31	extend	extend	VERB
fuelectenerg-3307	308	32	the	the	DET
fuelectenerg-3307	308	33	set	set	NOUN
fuelectenerg-3307	308	34	xb	xb	PROPN
fuelectenerg-3307	308	35	;	;	PUNCT
fuelectenerg-3307	308	36	they	they	PRON
fuelectenerg-3307	308	37	are	be	AUX
fuelectenerg-3307	308	38	calculated	calculate	VERB
fuelectenerg-3307	308	39	in	in	ADP
fuelectenerg-3307	308	40	lines	line	NOUN
fuelectenerg-3307	308	41	5	5	NUM
fuelectenerg-3307	308	42	and	and	CCONJ
fuelectenerg-3307	308	43	6	6	NUM
fuelectenerg-3307	308	44	based	base	VERB
fuelectenerg-3307	308	45	on	on	ADP
fuelectenerg-3307	308	46	(	(	PUNCT
fuelectenerg-3307	308	47	1	1	NUM
fuelectenerg-3307	308	48	)	)	PUNCT
fuelectenerg-3307	308	49	and	and	CCONJ
fuelectenerg-3307	308	50	(	(	PUNCT
fuelectenerg-3307	308	51	2	2	NUM
fuelectenerg-3307	308	52	)	)	PUNCT
fuelectenerg-3307	308	53	.	.	PUNCT
fuelectenerg-3307	309	1	the	the	DET
fuelectenerg-3307	309	2	help	help	NOUN
fuelectenerg-3307	309	3	-	-	PUNCT
fuelectenerg-3307	309	4	function	function	NOUN
fuelectenerg-3307	309	5	h0	h0	NOUN
fuelectenerg-3307	309	6	stores	store	NOUN
fuelectenerg-3307	309	7	the	the	DET
fuelectenerg-3307	309	8	intermediate	intermediate	ADJ
fuelectenerg-3307	309	9	result	result	NOUN
fuelectenerg-3307	309	10	of	of	ADP
fuelectenerg-3307	309	11	the	the	DET
fuelectenerg-3307	309	12	k	k	ADJ
fuelectenerg-3307	309	13	-	-	ADJ
fuelectenerg-3307	309	14	fold	fold	ADJ
fuelectenerg-3307	309	15	maximum	maximum	NOUN
fuelectenerg-3307	309	16	with	with	ADP
fuelectenerg-3307	309	17	regard	regard	NOUN
fuelectenerg-3307	309	18	to	to	ADP
fuelectenerg-3307	309	19	the	the	DET
fuelectenerg-3307	309	20	already	already	ADV
fuelectenerg-3307	309	21	known	know	VERB
fuelectenerg-3307	309	22	variables	variable	NOUN
fuelectenerg-3307	309	23	of	of	ADP
fuelectenerg-3307	309	24	the	the	DET
fuelectenerg-3307	309	25	set	set	NOUN
fuelectenerg-3307	309	26	xb	xb	X
fuelectenerg-3307	309	27	(	(	PUNCT
fuelectenerg-3307	309	28	line	line	NOUN
fuelectenerg-3307	309	29	7	7	NUM
fuelectenerg-3307	309	30	)	)	PUNCT
fuelectenerg-3307	309	31	.	.	PUNCT
fuelectenerg-3307	310	1	the	the	DET
fuelectenerg-3307	310	2	while	while	NOUN
fuelectenerg-3307	310	3	-	-	PUNCT
fuelectenerg-3307	310	4	loop	loop	NOUN
fuelectenerg-3307	310	5	in	in	ADP
fuelectenerg-3307	310	6	lines	line	NOUN
fuelectenerg-3307	310	7	8	8	NUM
fuelectenerg-3307	310	8	to	to	PART
fuelectenerg-3307	310	9	13	13	NUM
fuelectenerg-3307	310	10	extends	extend	VERB
fuelectenerg-3307	310	11	the	the	DET
fuelectenerg-3307	310	12	set	set	NOUN
fuelectenerg-3307	310	13	xb	xb	PROPN
fuelectenerg-3307	310	14	to	to	ADP
fuelectenerg-3307	310	15	the	the	DET
fuelectenerg-3307	310	16	maximal	maximal	ADJ
fuelectenerg-3307	310	17	possible	possible	ADJ
fuelectenerg-3307	310	18	number	number	NOUN
fuelectenerg-3307	310	19	of	of	ADP
fuelectenerg-3307	310	20	variables	variable	NOUN
fuelectenerg-3307	310	21	of	of	ADP
fuelectenerg-3307	310	22	a	a	DET
fuelectenerg-3307	310	23	strong	strong	ADJ
fuelectenerg-3307	310	24	xor	xor	PROPN
fuelectenerg-3307	310	25	-	-	PUNCT
fuelectenerg-3307	310	26	bi	bi	NOUN
fuelectenerg-3307	310	27	-	-	NOUN
fuelectenerg-3307	310	28	decomposition	decomposition	NOUN
fuelectenerg-3307	310	29	for	for	ADP
fuelectenerg-3307	310	30	the	the	DET
fuelectenerg-3307	310	31	given	give	VERB
fuelectenerg-3307	310	32	lattice	lattice	NOUN
fuelectenerg-3307	310	33	.	.	PUNCT
fuelectenerg-3307	311	1	condition	condition	NOUN
fuelectenerg-3307	311	2	(	(	PUNCT
fuelectenerg-3307	311	3	3	3	X
fuelectenerg-3307	311	4	)	)	PUNCT
fuelectenerg-3307	311	5	is	be	AUX
fuelectenerg-3307	311	6	verified	verify	VERB
fuelectenerg-3307	311	7	in	in	ADP
fuelectenerg-3307	311	8	line	line	NOUN
fuelectenerg-3307	311	9	9	9	NUM
fuelectenerg-3307	311	10	for	for	ADP
fuelectenerg-3307	311	11	the	the	DET
fuelectenerg-3307	311	12	temporally	temporally	ADV
fuelectenerg-3307	311	13	extended	extend	VERB
fuelectenerg-3307	311	14	set	set	VERB
fuelectenerg-3307	311	15	xb	xb	PROPN
fuelectenerg-3307	311	16	.	.	PUNCT
fuelectenerg-3307	312	1	if	if	SCONJ
fuelectenerg-3307	312	2	this	this	DET
fuelectenerg-3307	312	3	condition	condition	NOUN
fuelectenerg-3307	312	4	is	be	AUX
fuelectenerg-3307	312	5	satisfied	satisfied	ADJ
fuelectenerg-3307	312	6	for	for	ADP
fuelectenerg-3307	312	7	the	the	DET
fuelectenerg-3307	312	8	set	set	NOUN
fuelectenerg-3307	312	9	of	of	ADP
fuelectenerg-3307	312	10	variables	variable	NOUN
fuelectenerg-3307	312	11	xb	xb	PROPN
fuelectenerg-3307	312	12	∪	∪	PROPN
fuelectenerg-3307	312	13	xb	xb	PROPN
fuelectenerg-3307	312	14	,	,	PUNCT
fuelectenerg-3307	312	15	the	the	DET
fuelectenerg-3307	312	16	set	set	NOUN
fuelectenerg-3307	312	17	of	of	ADP
fuelectenerg-3307	312	18	variables	variable	NOUN
fuelectenerg-3307	312	19	xb	xb	PROPN
fuelectenerg-3307	312	20	is	be	AUX
fuelectenerg-3307	312	21	permanently	permanently	ADV
fuelectenerg-3307	312	22	extended	extended	ADJ
fuelectenerg-3307	312	23	in	in	ADP
fuelectenerg-3307	312	24	line	line	NOUN
fuelectenerg-3307	312	25	10	10	NUM
fuelectenerg-3307	312	26	and	and	CCONJ
fuelectenerg-3307	312	27	the	the	DET
fuelectenerg-3307	312	28	help	help	NOUN
fuelectenerg-3307	312	29	-	-	PUNCT
fuelectenerg-3307	312	30	function	function	NOUN
fuelectenerg-3307	312	31	h0	h0	NOUN
fuelectenerg-3307	312	32	is	be	AUX
fuelectenerg-3307	312	33	adjusted	adjust	VERB
fuelectenerg-3307	312	34	in	in	ADP
fuelectenerg-3307	312	35	line	line	NOUN
fuelectenerg-3307	312	36	11	11	NUM
fuelectenerg-3307	312	37	.	.	PUNCT
fuelectenerg-3307	313	1	knowing	know	VERB
fuelectenerg-3307	313	2	the	the	DET
fuelectenerg-3307	313	3	maximal	maximal	ADJ
fuelectenerg-3307	313	4	set	set	NOUN
fuelectenerg-3307	313	5	of	of	ADP
fuelectenerg-3307	313	6	variables	variable	NOUN
fuelectenerg-3307	313	7	xb	xb	PROPN
fuelectenerg-3307	313	8	,	,	PUNCT
fuelectenerg-3307	313	9	basic	basic	ADJ
fuelectenerg-3307	313	10	versions	version	NOUN
fuelectenerg-3307	313	11	of	of	ADP
fuelectenerg-3307	313	12	the	the	DET
fuelectenerg-3307	313	13	wanted	want	VERB
fuelectenerg-3307	313	14	functions	function	NOUN
fuelectenerg-3307	313	15	can	can	AUX
fuelectenerg-3307	313	16	be	be	AUX
fuelectenerg-3307	313	17	calculated	calculate	VERB
fuelectenerg-3307	313	18	:	:	PUNCT
fuelectenerg-3307	313	19	•	•	NUM
fuelectenerg-3307	313	20	g(xa	g(xa	PROPN
fuelectenerg-3307	313	21	,	,	PUNCT
fuelectenerg-3307	313	22	xc	xc	PROPN
fuelectenerg-3307	313	23	)	)	PUNCT
fuelectenerg-3307	313	24	based	base	VERB
fuelectenerg-3307	313	25	on	on	ADP
fuelectenerg-3307	313	26	(	(	PUNCT
fuelectenerg-3307	313	27	4	4	NUM
fuelectenerg-3307	313	28	)	)	PUNCT
fuelectenerg-3307	313	29	in	in	ADP
fuelectenerg-3307	313	30	line	line	NOUN
fuelectenerg-3307	313	31	14	14	NUM
fuelectenerg-3307	313	32	;	;	PUNCT
fuelectenerg-3307	313	33	•	•	NUM
fuelectenerg-3307	313	34	hq(xb	hq(xb	PROPN
fuelectenerg-3307	313	35	,	,	PUNCT
fuelectenerg-3307	313	36	xc	xc	PROPN
fuelectenerg-3307	313	37	)	)	PUNCT
fuelectenerg-3307	313	38	based	base	VERB
fuelectenerg-3307	313	39	on	on	ADP
fuelectenerg-3307	313	40	(	(	PUNCT
fuelectenerg-3307	313	41	5	5	NUM
fuelectenerg-3307	313	42	)	)	PUNCT
fuelectenerg-3307	313	43	in	in	ADP
fuelectenerg-3307	313	44	line	line	NOUN
fuelectenerg-3307	313	45	15	15	NUM
fuelectenerg-3307	313	46	;	;	PUNCT
fuelectenerg-3307	313	47	and	and	CCONJ
fuelectenerg-3307	313	48	•	•	NUM
fuelectenerg-3307	313	49	hr(xb	hr(xb	PROPN
fuelectenerg-3307	313	50	,	,	PUNCT
fuelectenerg-3307	313	51	xc	xc	PROPN
fuelectenerg-3307	313	52	)	)	PUNCT
fuelectenerg-3307	313	53	based	base	VERB
fuelectenerg-3307	313	54	on	on	ADP
fuelectenerg-3307	313	55	(	(	PUNCT
fuelectenerg-3307	313	56	6	6	NUM
fuelectenerg-3307	313	57	)	)	PUNCT
fuelectenerg-3307	313	58	in	in	ADP
fuelectenerg-3307	313	59	line	line	NOUN
fuelectenerg-3307	313	60	16	16	NUM
fuelectenerg-3307	313	61	.	.	PUNCT
fuelectenerg-3307	314	1	in	in	ADP
fuelectenerg-3307	314	2	a	a	DET
fuelectenerg-3307	314	3	second	second	ADJ
fuelectenerg-3307	314	4	while	while	NOUN
fuelectenerg-3307	314	5	-	-	PUNCT
fuelectenerg-3307	314	6	loop	loop	NOUN
fuelectenerg-3307	314	7	(	(	PUNCT
fuelectenerg-3307	314	8	lines	line	NOUN
fuelectenerg-3307	314	9	20	20	NUM
fuelectenerg-3307	314	10	to	to	PART
fuelectenerg-3307	314	11	28	28	NUM
fuelectenerg-3307	314	12	)	)	PUNCT
fuelectenerg-3307	314	13	the	the	DET
fuelectenerg-3307	314	14	set	set	NOUN
fuelectenerg-3307	314	15	of	of	ADP
fuelectenerg-3307	314	16	variables	variable	NOUN
fuelectenerg-3307	314	17	xa	xa	PROPN
fuelectenerg-3307	314	18	is	be	AUX
fuelectenerg-3307	314	19	extended	extend	VERB
fuelectenerg-3307	314	20	.	.	PUNCT
fuelectenerg-3307	315	1	initial	initial	ADJ
fuelectenerg-3307	315	2	steps	step	NOUN
fuelectenerg-3307	315	3	determine	determine	VERB
fuelectenerg-3307	315	4	the	the	DET
fuelectenerg-3307	315	5	new	new	ADJ
fuelectenerg-3307	315	6	set	set	NOUN
fuelectenerg-3307	315	7	of	of	ADP
fuelectenerg-3307	315	8	commonly	commonly	ADV
fuelectenerg-3307	315	9	used	use	VERB
fuelectenerg-3307	315	10	variables	variable	NOUN
fuelectenerg-3307	315	11	xc	xc	PROPN
fuelectenerg-3307	316	1	(	(	PUNCT
fuelectenerg-3307	316	2	line	line	NOUN
fuelectenerg-3307	316	3	17	17	NUM
fuelectenerg-3307	316	4	)	)	PUNCT
fuelectenerg-3307	316	5	,	,	PUNCT
fuelectenerg-3307	316	6	the	the	DET
fuelectenerg-3307	316	7	basic	basic	ADJ
fuelectenerg-3307	316	8	set	set	NOUN
fuelectenerg-3307	316	9	230	230	NUM
fuelectenerg-3307	316	10	b.	b.	PROPN
fuelectenerg-3307	316	11	steinbach	steinbach	PROPN
fuelectenerg-3307	316	12	,	,	PUNCT
fuelectenerg-3307	316	13	c.	c.	PROPN
fuelectenerg-3307	316	14	posthoff	posthoff	PROPN
fuelectenerg-3307	316	15	compact	compact	ADJ
fuelectenerg-3307	316	16	xor	xor	PROPN
fuelectenerg-3307	316	17	-	-	PUNCT
fuelectenerg-3307	316	18	bi	bi	NOUN
fuelectenerg-3307	316	19	-	-	NOUN
fuelectenerg-3307	316	20	decomposition	decomposition	NOUN
fuelectenerg-3307	316	21	for	for	ADP
fuelectenerg-3307	316	22	lattices	lattice	NOUN
fuelectenerg-3307	316	23	of	of	ADP
fuelectenerg-3307	316	24	boolean	boolean	ADJ
fuelectenerg-3307	316	25	functions	function	NOUN
fuelectenerg-3307	316	26	231	231	NUM
fuelectenerg-3307	316	27	10	10	NUM
fuelectenerg-3307	316	28	b.	b.	PROPN
fuelectenerg-3307	316	29	steinbach	steinbach	PROPN
fuelectenerg-3307	316	30	and	and	CCONJ
fuelectenerg-3307	316	31	c.	c.	PROPN
fuelectenerg-3307	316	32	posthoff	posthoff	PROPN
fuelectenerg-3307	316	33	:	:	PUNCT
fuelectenerg-3307	316	34	algorithm	algorithm	NOUN
fuelectenerg-3307	316	35	2	2	NUM
fuelectenerg-3307	316	36	compact	compact	ADJ
fuelectenerg-3307	316	37	strong	strong	ADJ
fuelectenerg-3307	316	38	xor	xor	PROPN
fuelectenerg-3307	316	39	-	-	PUNCT
fuelectenerg-3307	316	40	bi	bi	NOUN
fuelectenerg-3307	316	41	-	-	NOUN
fuelectenerg-3307	316	42	decomposition	decomposition	NOUN
fuelectenerg-3307	316	43	of	of	ADP
fuelectenerg-3307	316	44	the	the	DET
fuelectenerg-3307	316	45	lattice	lattice	PROPN
fuelectenerg-3307	316	46	l	l	PROPN
fuelectenerg-3307	316	47	〈	〈	PROPN
fuelectenerg-3307	316	48	fq(x	fq(x	NOUN
fuelectenerg-3307	316	49	)	)	PUNCT
fuelectenerg-3307	316	50	,	,	PUNCT
fuelectenerg-3307	316	51	fr(x	fr(x	X
fuelectenerg-3307	316	52	)	)	PUNCT
fuelectenerg-3307	316	53	〉	〉	NOUN
fuelectenerg-3307	316	54	require	require	VERB
fuelectenerg-3307	316	55	:	:	PUNCT
fuelectenerg-3307	316	56	tvls	tvls	NOUN
fuelectenerg-3307	316	57	of	of	ADP
fuelectenerg-3307	316	58	fq(x	fq(x	NOUN
fuelectenerg-3307	316	59	)	)	PUNCT
fuelectenerg-3307	316	60	and	and	CCONJ
fuelectenerg-3307	316	61	fr(x	fr(x	NUM
fuelectenerg-3307	316	62	)	)	PUNCT
fuelectenerg-3307	316	63	;	;	PUNCT
fuelectenerg-3307	316	64	initial	initial	ADJ
fuelectenerg-3307	316	65	svs	svs	NOUN
fuelectenerg-3307	316	66	of	of	ADP
fuelectenerg-3307	316	67	xa	xa	PROPN
fuelectenerg-3307	316	68	and	and	CCONJ
fuelectenerg-3307	316	69	xb	xb	PROPN
fuelectenerg-3307	316	70	ensure	ensure	VERB
fuelectenerg-3307	316	71	:	:	PUNCT
fuelectenerg-3307	317	1	tvl	tvl	PROPN
fuelectenerg-3307	317	2	of	of	ADP
fuelectenerg-3307	317	3	g(xa	g(xa	PROPN
fuelectenerg-3307	317	4	,	,	PUNCT
fuelectenerg-3307	317	5	xc	xc	PRON
fuelectenerg-3307	317	6	):	):	PUNCT
fuelectenerg-3307	317	7	decomposition	decomposition	NOUN
fuelectenerg-3307	317	8	function	function	NOUN
fuelectenerg-3307	317	9	ensure	ensure	VERB
fuelectenerg-3307	317	10	:	:	PUNCT
fuelectenerg-3307	317	11	tvls	tvls	NOUN
fuelectenerg-3307	317	12	of	of	ADP
fuelectenerg-3307	317	13	hq(xb	hq(xb	PROPN
fuelectenerg-3307	317	14	,	,	PUNCT
fuelectenerg-3307	317	15	xc	xc	PROPN
fuelectenerg-3307	317	16	)	)	PUNCT
fuelectenerg-3307	317	17	and	and	CCONJ
fuelectenerg-3307	317	18	hr(xb	hr(xb	PROPN
fuelectenerg-3307	317	19	,	,	PUNCT
fuelectenerg-3307	317	20	xc	xc	PROPN
fuelectenerg-3307	317	21	):	):	PUNCT
fuelectenerg-3307	317	22	decomposition	decomposition	NOUN
fuelectenerg-3307	317	23	lattice	lattice	NOUN
fuelectenerg-3307	317	24	ensure	ensure	VERB
fuelectenerg-3307	317	25	:	:	PUNCT
fuelectenerg-3307	317	26	svs	svs	VERB
fuelectenerg-3307	317	27	of	of	ADP
fuelectenerg-3307	317	28	xa	xa	PROPN
fuelectenerg-3307	317	29	,	,	PUNCT
fuelectenerg-3307	317	30	xb	xb	PROPN
fuelectenerg-3307	317	31	,	,	PUNCT
fuelectenerg-3307	317	32	and	and	CCONJ
fuelectenerg-3307	317	33	xc	xc	PROPN
fuelectenerg-3307	317	34	:	:	PUNCT
fuelectenerg-3307	318	1	disjoint	disjoint	NOUN
fuelectenerg-3307	318	2	sets	set	NOUN
fuelectenerg-3307	318	3	of	of	ADP
fuelectenerg-3307	318	4	variables	variable	NOUN
fuelectenerg-3307	318	5	1	1	NUM
fuelectenerg-3307	318	6	:	:	PUNCT
fuelectenerg-3307	318	7	all	all	DET
fuelectenerg-3307	318	8	var	var	PROPN
fuelectenerg-3307	318	9	←	←	PROPN
fuelectenerg-3307	318	10	sv	sv	PROPN
fuelectenerg-3307	318	11	uni	uni	PROPN
fuelectenerg-3307	318	12	(	(	PUNCT
fuelectenerg-3307	318	13	fq	fq	PROPN
fuelectenerg-3307	318	14	,	,	PUNCT
fuelectenerg-3307	318	15	fr	fr	PROPN
fuelectenerg-3307	318	16	)	)	PUNCT
fuelectenerg-3307	318	17	2	2	NUM
fuelectenerg-3307	318	18	:	:	PUNCT
fuelectenerg-3307	318	19	xc	xc	PROPN
fuelectenerg-3307	318	20	←	←	PROPN
fuelectenerg-3307	318	21	sv	sv	PROPN
fuelectenerg-3307	318	22	dif(sv	dif(sv	VERB
fuelectenerg-3307	318	23	dif(all	dif(all	DET
fuelectenerg-3307	318	24	var	var	NOUN
fuelectenerg-3307	318	25	,	,	PUNCT
fuelectenerg-3307	318	26	xa),xb	xa),xb	PROPN
fuelectenerg-3307	318	27	)	)	PUNCT
fuelectenerg-3307	318	28	)	)	PUNCT
fuelectenerg-3307	319	1	3	3	NUM
fuelectenerg-3307	319	2	:	:	PUNCT
fuelectenerg-3307	319	3	xb	xb	PROPN
fuelectenerg-3307	319	4	←	←	PROPN
fuelectenerg-3307	319	5	xb	xb	PROPN
fuelectenerg-3307	319	6	4	4	NUM
fuelectenerg-3307	319	7	:	:	PUNCT
fuelectenerg-3307	319	8	xb	xb	PROPN
fuelectenerg-3307	319	9	←	←	PROPN
fuelectenerg-3307	319	10	/0	/0	PROPN
fuelectenerg-3307	319	11	5	5	NUM
fuelectenerg-3307	319	12	:	:	PUNCT
fuelectenerg-3307	319	13	f	f	PROPN
fuelectenerg-3307	319	14	∂xa	∂xa	PROPN
fuelectenerg-3307	319	15	q	q	PROPN
fuelectenerg-3307	319	16	←	←	PROPN
fuelectenerg-3307	319	17	isc(maxk	isc(maxk	PROPN
fuelectenerg-3307	319	18	(	(	PUNCT
fuelectenerg-3307	319	19	fq	fq	PROPN
fuelectenerg-3307	319	20	,	,	PUNCT
fuelectenerg-3307	319	21	xa),maxk	xa),maxk	PROPN
fuelectenerg-3307	319	22	(	(	PUNCT
fuelectenerg-3307	319	23	fr	fr	PROPN
fuelectenerg-3307	319	24	,	,	PUNCT
fuelectenerg-3307	319	25	xa	xa	PROPN
fuelectenerg-3307	319	26	)	)	PUNCT
fuelectenerg-3307	319	27	)	)	PUNCT
fuelectenerg-3307	319	28	6	6	NUM
fuelectenerg-3307	319	29	:	:	PUNCT
fuelectenerg-3307	319	30	f	f	PROPN
fuelectenerg-3307	319	31	∂xa	∂xa	PROPN
fuelectenerg-3307	319	32	r	r	PROPN
fuelectenerg-3307	319	33	←	←	PROPN
fuelectenerg-3307	319	34	uni(mink	uni(mink	NOUN
fuelectenerg-3307	319	35	(	(	PUNCT
fuelectenerg-3307	319	36	fq	fq	PROPN
fuelectenerg-3307	319	37	,	,	PUNCT
fuelectenerg-3307	319	38	xa),mink	xa),mink	PROPN
fuelectenerg-3307	319	39	(	(	PUNCT
fuelectenerg-3307	319	40	fr	fr	PROPN
fuelectenerg-3307	319	41	,	,	PUNCT
fuelectenerg-3307	319	42	xa	xa	PROPN
fuelectenerg-3307	319	43	)	)	PUNCT
fuelectenerg-3307	319	44	)	)	PUNCT
fuelectenerg-3307	320	1	7	7	NUM
fuelectenerg-3307	320	2	:	:	PUNCT
fuelectenerg-3307	320	3	h0	h0	PROPN
fuelectenerg-3307	320	4	←	←	PROPN
fuelectenerg-3307	320	5	maxk	maxk	PROPN
fuelectenerg-3307	320	6	(	(	PUNCT
fuelectenerg-3307	320	7	f	f	PROPN
fuelectenerg-3307	320	8	∂xa	∂xa	PROPN
fuelectenerg-3307	320	9	q	q	PROPN
fuelectenerg-3307	320	10	,	,	PUNCT
fuelectenerg-3307	320	11	xb	xb	PROPN
fuelectenerg-3307	320	12	)	)	PUNCT
fuelectenerg-3307	320	13	8	8	NUM
fuelectenerg-3307	320	14	:	:	PUNCT
fuelectenerg-3307	320	15	while	while	SCONJ
fuelectenerg-3307	320	16	sv	sv	PROPN
fuelectenerg-3307	320	17	next(xc	next(xc	PROPN
fuelectenerg-3307	320	18	,	,	PUNCT
fuelectenerg-3307	320	19	xb	xb	PROPN
fuelectenerg-3307	320	20	,	,	PUNCT
fuelectenerg-3307	320	21	xb	xb	PROPN
fuelectenerg-3307	320	22	)	)	PUNCT
fuelectenerg-3307	320	23	do	do	VERB
fuelectenerg-3307	320	24	9	9	NUM
fuelectenerg-3307	320	25	:	:	PUNCT
fuelectenerg-3307	320	26	if	if	SCONJ
fuelectenerg-3307	320	27	te	te	PROPN
fuelectenerg-3307	320	28	isc(maxk(h0,xb	isc(maxk(h0,xb	NUM
fuelectenerg-3307	320	29	)	)	PUNCT
fuelectenerg-3307	320	30	,	,	PUNCT
fuelectenerg-3307	320	31	f	f	PROPN
fuelectenerg-3307	320	32	∂xa	∂xa	PROPN
fuelectenerg-3307	320	33	r	r	NOUN
fuelectenerg-3307	320	34	)	)	PUNCT
fuelectenerg-3307	320	35	then	then	ADV
fuelectenerg-3307	320	36	10	10	NUM
fuelectenerg-3307	320	37	:	:	PUNCT
fuelectenerg-3307	320	38	xb	xb	PROPN
fuelectenerg-3307	320	39	←	←	PROPN
fuelectenerg-3307	320	40	sv	sv	PROPN
fuelectenerg-3307	320	41	uni(xb	uni(xb	PROPN
fuelectenerg-3307	320	42	,	,	PUNCT
fuelectenerg-3307	320	43	xb	xb	PROPN
fuelectenerg-3307	320	44	)	)	PUNCT
fuelectenerg-3307	320	45	11	11	NUM
fuelectenerg-3307	320	46	:	:	PUNCT
fuelectenerg-3307	320	47	h0	h0	PROPN
fuelectenerg-3307	320	48	←	←	PROPN
fuelectenerg-3307	320	49	maxk	maxk	PROPN
fuelectenerg-3307	320	50	(	(	PUNCT
fuelectenerg-3307	320	51	f	f	PROPN
fuelectenerg-3307	320	52	∂xa	∂xa	PROPN
fuelectenerg-3307	320	53	q	q	PROPN
fuelectenerg-3307	320	54	,	,	PUNCT
fuelectenerg-3307	320	55	xb	xb	PROPN
fuelectenerg-3307	320	56	)	)	PUNCT
fuelectenerg-3307	320	57	12	12	NUM
fuelectenerg-3307	320	58	:	:	PUNCT
fuelectenerg-3307	320	59	end	end	VERB
fuelectenerg-3307	320	60	if	if	SCONJ
fuelectenerg-3307	320	61	13	13	NUM
fuelectenerg-3307	320	62	:	:	PUNCT
fuelectenerg-3307	320	63	end	end	VERB
fuelectenerg-3307	320	64	while	while	SCONJ
fuelectenerg-3307	320	65	14	14	NUM
fuelectenerg-3307	320	66	:	:	PUNCT
fuelectenerg-3307	320	67	g	g	PROPN
fuelectenerg-3307	320	68	←	←	PROPN
fuelectenerg-3307	320	69	isc(sv	isc(sv	NOUN
fuelectenerg-3307	320	70	get(xa),h0	get(xa),h0	NOUN
fuelectenerg-3307	320	71	)	)	PUNCT
fuelectenerg-3307	320	72	15	15	NUM
fuelectenerg-3307	320	73	:	:	PUNCT
fuelectenerg-3307	320	74	hq	hq	PROPN
fuelectenerg-3307	320	75	←	←	PROPN
fuelectenerg-3307	320	76	maxk(uni(isc(g	maxk(uni(isc(g	PROPN
fuelectenerg-3307	320	77	,	,	PUNCT
fuelectenerg-3307	320	78	fq	fq	PROPN
fuelectenerg-3307	320	79	)	)	PUNCT
fuelectenerg-3307	320	80	,	,	PUNCT
fuelectenerg-3307	320	81	isc(g	isc(g	PROPN
fuelectenerg-3307	320	82	,	,	PUNCT
fuelectenerg-3307	320	83	fr)),xa	fr)),xa	NOUN
fuelectenerg-3307	320	84	)	)	PUNCT
fuelectenerg-3307	320	85	16	16	NUM
fuelectenerg-3307	320	86	:	:	PUNCT
fuelectenerg-3307	320	87	hr	hr	PROPN
fuelectenerg-3307	320	88	←	←	PROPN
fuelectenerg-3307	320	89	maxk(uni(isc(g	maxk(uni(isc(g	PROPN
fuelectenerg-3307	320	90	,	,	PUNCT
fuelectenerg-3307	320	91	fr	fr	PROPN
fuelectenerg-3307	320	92	)	)	PUNCT
fuelectenerg-3307	320	93	,	,	PUNCT
fuelectenerg-3307	320	94	isc(g	isc(g	PROPN
fuelectenerg-3307	320	95	,	,	PUNCT
fuelectenerg-3307	320	96	fq)),xa	fq)),xa	PROPN
fuelectenerg-3307	320	97	)	)	PUNCT
fuelectenerg-3307	320	98	17	17	NUM
fuelectenerg-3307	320	99	:	:	PUNCT
fuelectenerg-3307	320	100	xc	xc	PROPN
fuelectenerg-3307	320	101	←	←	PROPN
fuelectenerg-3307	320	102	sv	sv	PROPN
fuelectenerg-3307	320	103	dif(sv	dif(sv	VERB
fuelectenerg-3307	320	104	dif(all	dif(all	DET
fuelectenerg-3307	320	105	var	var	NOUN
fuelectenerg-3307	320	106	,	,	PUNCT
fuelectenerg-3307	320	107	xa),xb	xa),xb	PROPN
fuelectenerg-3307	320	108	)	)	PUNCT
fuelectenerg-3307	320	109	)	)	PUNCT
fuelectenerg-3307	321	1	18	18	NUM
fuelectenerg-3307	321	2	:	:	PUNCT
fuelectenerg-3307	321	3	xa	xa	PROPN
fuelectenerg-3307	321	4	←	←	PROPN
fuelectenerg-3307	321	5	xa	xa	PROPN
fuelectenerg-3307	321	6	19	19	NUM
fuelectenerg-3307	321	7	:	:	PUNCT
fuelectenerg-3307	321	8	xi	xi	PROPN
fuelectenerg-3307	321	9	←	←	PROPN
fuelectenerg-3307	321	10	/0	/0	PROPN
fuelectenerg-3307	321	11	20	20	NUM
fuelectenerg-3307	321	12	:	:	PUNCT
fuelectenerg-3307	321	13	while	while	SCONJ
fuelectenerg-3307	321	14	sv	sv	PROPN
fuelectenerg-3307	321	15	next(xc	next(xc	ADJ
fuelectenerg-3307	321	16	,	,	PUNCT
fuelectenerg-3307	321	17	xi	xi	PROPN
fuelectenerg-3307	321	18	,	,	PUNCT
fuelectenerg-3307	321	19	xi	xi	PROPN
fuelectenerg-3307	321	20	)	)	PUNCT
fuelectenerg-3307	321	21	do	do	VERB
fuelectenerg-3307	321	22	21	21	NUM
fuelectenerg-3307	321	23	:	:	PUNCT
fuelectenerg-3307	321	24	if	if	SCONJ
fuelectenerg-3307	321	25	te	te	PROPN
fuelectenerg-3307	321	26	uni(mink(hq	uni(mink(hq	PROPN
fuelectenerg-3307	321	27	,	,	PUNCT
fuelectenerg-3307	321	28	xi),mink(hr	xi),mink(hr	PROPN
fuelectenerg-3307	321	29	,	,	PUNCT
fuelectenerg-3307	321	30	xi	xi	NOUN
fuelectenerg-3307	321	31	)	)	PUNCT
fuelectenerg-3307	321	32	)	)	PUNCT
fuelectenerg-3307	322	1	then	then	ADV
fuelectenerg-3307	322	2	22	22	NUM
fuelectenerg-3307	322	3	:	:	PUNCT
fuelectenerg-3307	322	4	xa	xa	PROPN
fuelectenerg-3307	322	5	←	←	PROPN
fuelectenerg-3307	322	6	sv	sv	PROPN
fuelectenerg-3307	322	7	uni(xa	uni(xa	PROPN
fuelectenerg-3307	322	8	,	,	PUNCT
fuelectenerg-3307	322	9	xi	xi	PROPN
fuelectenerg-3307	322	10	)	)	PUNCT
fuelectenerg-3307	322	11	23	23	NUM
fuelectenerg-3307	322	12	:	:	PUNCT
fuelectenerg-3307	322	13	xi	xi	PROPN
fuelectenerg-3307	322	14	←	←	PROPN
fuelectenerg-3307	322	15	sv	sv	PROPN
fuelectenerg-3307	322	16	get(xi	get(xi	PROPN
fuelectenerg-3307	322	17	)	)	PUNCT
fuelectenerg-3307	322	18	24	24	NUM
fuelectenerg-3307	322	19	:	:	PUNCT
fuelectenerg-3307	322	20	g	g	PROPN
fuelectenerg-3307	322	21	←	←	PROPN
fuelectenerg-3307	322	22	syd(xi	syd(xi	PROPN
fuelectenerg-3307	322	23	,	,	PUNCT
fuelectenerg-3307	322	24	g	g	NOUN
fuelectenerg-3307	322	25	)	)	PUNCT
fuelectenerg-3307	322	26	25	25	NUM
fuelectenerg-3307	322	27	:	:	PUNCT
fuelectenerg-3307	322	28	hq	hq	PROPN
fuelectenerg-3307	322	29	←	←	PROPN
fuelectenerg-3307	322	30	maxk(uni(isc(xi	maxk(uni(isc(xi	PROPN
fuelectenerg-3307	322	31	,	,	PUNCT
fuelectenerg-3307	322	32	hq	hq	NOUN
fuelectenerg-3307	322	33	)	)	PUNCT
fuelectenerg-3307	322	34	,	,	PUNCT
fuelectenerg-3307	322	35	isc(xi	isc(xi	NUM
fuelectenerg-3307	322	36	,	,	PUNCT
fuelectenerg-3307	322	37	hr)),xi	hr)),xi	PROPN
fuelectenerg-3307	322	38	)	)	PUNCT
fuelectenerg-3307	322	39	26	26	NUM
fuelectenerg-3307	322	40	:	:	PUNCT
fuelectenerg-3307	322	41	hr	hr	PROPN
fuelectenerg-3307	322	42	←	←	PROPN
fuelectenerg-3307	322	43	maxk(uni(isc(xi	maxk(uni(isc(xi	PROPN
fuelectenerg-3307	322	44	,	,	PUNCT
fuelectenerg-3307	322	45	hr	hr	NOUN
fuelectenerg-3307	322	46	)	)	PUNCT
fuelectenerg-3307	322	47	,	,	PUNCT
fuelectenerg-3307	322	48	isc(xi	isc(xi	NUM
fuelectenerg-3307	322	49	,	,	PUNCT
fuelectenerg-3307	322	50	hq)),xi	hq)),xi	PROPN
fuelectenerg-3307	322	51	)	)	PUNCT
fuelectenerg-3307	322	52	27	27	NUM
fuelectenerg-3307	322	53	:	:	PUNCT
fuelectenerg-3307	322	54	end	end	VERB
fuelectenerg-3307	322	55	if	if	SCONJ
fuelectenerg-3307	322	56	28	28	NUM
fuelectenerg-3307	322	57	:	:	PUNCT
fuelectenerg-3307	322	58	end	end	NOUN
fuelectenerg-3307	322	59	while	while	SCONJ
fuelectenerg-3307	322	60	29	29	NUM
fuelectenerg-3307	322	61	:	:	PUNCT
fuelectenerg-3307	322	62	xc	xc	PROPN
fuelectenerg-3307	322	63	←	←	PROPN
fuelectenerg-3307	322	64	sv	sv	PROPN
fuelectenerg-3307	322	65	dif(xc	dif(xc	PROPN
fuelectenerg-3307	322	66	,	,	PUNCT
fuelectenerg-3307	322	67	xa	xa	PROPN
fuelectenerg-3307	322	68	)	)	PUNCT
fuelectenerg-3307	322	69	30	30	NUM
fuelectenerg-3307	322	70	:	:	PUNCT
fuelectenerg-3307	322	71	return	return	NOUN
fuelectenerg-3307	322	72	(	(	PUNCT
fuelectenerg-3307	322	73	g	g	NOUN
fuelectenerg-3307	322	74	,	,	PUNCT
fuelectenerg-3307	322	75	hq	hq	NOUN
fuelectenerg-3307	322	76	,	,	PUNCT
fuelectenerg-3307	322	77	hr	hr	NOUN
fuelectenerg-3307	322	78	,	,	PUNCT
fuelectenerg-3307	322	79	xa	xa	PROPN
fuelectenerg-3307	322	80	,	,	PUNCT
fuelectenerg-3307	322	81	xb	xb	PROPN
fuelectenerg-3307	322	82	,	,	PUNCT
fuelectenerg-3307	322	83	xc	xc	PROPN
fuelectenerg-3307	322	84	)	)	PUNCT
fuelectenerg-3307	322	85	of	of	ADP
fuelectenerg-3307	322	86	variables	variable	NOUN
fuelectenerg-3307	322	87	xa	xa	PROPN
fuelectenerg-3307	323	1	(	(	PUNCT
fuelectenerg-3307	323	2	line	line	NOUN
fuelectenerg-3307	323	3	18	18	NUM
fuelectenerg-3307	323	4	)	)	PUNCT
fuelectenerg-3307	323	5	,	,	PUNCT
fuelectenerg-3307	323	6	and	and	CCONJ
fuelectenerg-3307	323	7	the	the	DET
fuelectenerg-3307	323	8	selection	selection	NOUN
fuelectenerg-3307	323	9	variable	variable	NOUN
fuelectenerg-3307	323	10	xi	xi	X
fuelectenerg-3307	323	11	(	(	PUNCT
fuelectenerg-3307	323	12	line	line	NOUN
fuelectenerg-3307	323	13	19	19	NUM
fuelectenerg-3307	323	14	)	)	PUNCT
fuelectenerg-3307	323	15	needed	need	VERB
fuelectenerg-3307	323	16	to	to	PART
fuelectenerg-3307	323	17	evaluate	evaluate	VERB
fuelectenerg-3307	323	18	the	the	DET
fuelectenerg-3307	323	19	possibility	possibility	NOUN
fuelectenerg-3307	323	20	of	of	ADP
fuelectenerg-3307	323	21	the	the	DET
fuelectenerg-3307	323	22	extension	extension	NOUN
fuelectenerg-3307	323	23	of	of	ADP
fuelectenerg-3307	323	24	xa	xa	PROPN
fuelectenerg-3307	323	25	.	.	PROPN
fuelectenerg-3307	324	1	232	232	NUM
fuelectenerg-3307	324	2	b.	b.	PROPN
fuelectenerg-3307	324	3	steinbach	steinbach	PROPN
fuelectenerg-3307	324	4	,	,	PUNCT
fuelectenerg-3307	324	5	c.	c.	PROPN
fuelectenerg-3307	324	6	posthoff	posthoff	PROPN
fuelectenerg-3307	324	7	compact	compact	ADJ
fuelectenerg-3307	324	8	xor	xor	PROPN
fuelectenerg-3307	324	9	-	-	PUNCT
fuelectenerg-3307	324	10	bi	bi	NOUN
fuelectenerg-3307	324	11	-	-	NOUN
fuelectenerg-3307	324	12	decomposition	decomposition	NOUN
fuelectenerg-3307	324	13	for	for	ADP
fuelectenerg-3307	324	14	lattices	lattice	NOUN
fuelectenerg-3307	324	15	of	of	ADP
fuelectenerg-3307	324	16	boolean	boolean	ADJ
fuelectenerg-3307	324	17	functions	function	NOUN
fuelectenerg-3307	324	18	233	233	NUM
fuelectenerg-3307	324	19	10	10	NUM
fuelectenerg-3307	324	20	b.	b.	PROPN
fuelectenerg-3307	324	21	steinbach	steinbach	PROPN
fuelectenerg-3307	324	22	and	and	CCONJ
fuelectenerg-3307	324	23	c.	c.	PROPN
fuelectenerg-3307	324	24	posthoff	posthoff	PROPN
fuelectenerg-3307	324	25	:	:	PUNCT
fuelectenerg-3307	324	26	algorithm	algorithm	NOUN
fuelectenerg-3307	324	27	2	2	NUM
fuelectenerg-3307	324	28	compact	compact	ADJ
fuelectenerg-3307	324	29	strong	strong	ADJ
fuelectenerg-3307	324	30	xor	xor	PROPN
fuelectenerg-3307	324	31	-	-	PUNCT
fuelectenerg-3307	324	32	bi	bi	NOUN
fuelectenerg-3307	324	33	-	-	NOUN
fuelectenerg-3307	324	34	decomposition	decomposition	NOUN
fuelectenerg-3307	324	35	of	of	ADP
fuelectenerg-3307	324	36	the	the	DET
fuelectenerg-3307	324	37	lattice	lattice	PROPN
fuelectenerg-3307	324	38	l	l	PROPN
fuelectenerg-3307	324	39	〈	〈	PROPN
fuelectenerg-3307	324	40	fq(x	fq(x	NOUN
fuelectenerg-3307	324	41	)	)	PUNCT
fuelectenerg-3307	324	42	,	,	PUNCT
fuelectenerg-3307	324	43	fr(x	fr(x	X
fuelectenerg-3307	324	44	)	)	PUNCT
fuelectenerg-3307	324	45	〉	〉	NOUN
fuelectenerg-3307	324	46	require	require	VERB
fuelectenerg-3307	324	47	:	:	PUNCT
fuelectenerg-3307	324	48	tvls	tvls	NOUN
fuelectenerg-3307	324	49	of	of	ADP
fuelectenerg-3307	324	50	fq(x	fq(x	NOUN
fuelectenerg-3307	324	51	)	)	PUNCT
fuelectenerg-3307	324	52	and	and	CCONJ
fuelectenerg-3307	324	53	fr(x	fr(x	NUM
fuelectenerg-3307	324	54	)	)	PUNCT
fuelectenerg-3307	324	55	;	;	PUNCT
fuelectenerg-3307	324	56	initial	initial	ADJ
fuelectenerg-3307	324	57	svs	svs	NOUN
fuelectenerg-3307	324	58	of	of	ADP
fuelectenerg-3307	324	59	xa	xa	PROPN
fuelectenerg-3307	324	60	and	and	CCONJ
fuelectenerg-3307	324	61	xb	xb	PROPN
fuelectenerg-3307	324	62	ensure	ensure	VERB
fuelectenerg-3307	324	63	:	:	PUNCT
fuelectenerg-3307	325	1	tvl	tvl	PROPN
fuelectenerg-3307	325	2	of	of	ADP
fuelectenerg-3307	325	3	g(xa	g(xa	PROPN
fuelectenerg-3307	325	4	,	,	PUNCT
fuelectenerg-3307	325	5	xc	xc	PRON
fuelectenerg-3307	325	6	):	):	PUNCT
fuelectenerg-3307	325	7	decomposition	decomposition	NOUN
fuelectenerg-3307	325	8	function	function	NOUN
fuelectenerg-3307	325	9	ensure	ensure	VERB
fuelectenerg-3307	325	10	:	:	PUNCT
fuelectenerg-3307	325	11	tvls	tvls	NOUN
fuelectenerg-3307	325	12	of	of	ADP
fuelectenerg-3307	325	13	hq(xb	hq(xb	PROPN
fuelectenerg-3307	325	14	,	,	PUNCT
fuelectenerg-3307	325	15	xc	xc	PROPN
fuelectenerg-3307	325	16	)	)	PUNCT
fuelectenerg-3307	325	17	and	and	CCONJ
fuelectenerg-3307	325	18	hr(xb	hr(xb	PROPN
fuelectenerg-3307	325	19	,	,	PUNCT
fuelectenerg-3307	325	20	xc	xc	PROPN
fuelectenerg-3307	325	21	):	):	PUNCT
fuelectenerg-3307	325	22	decomposition	decomposition	NOUN
fuelectenerg-3307	325	23	lattice	lattice	NOUN
fuelectenerg-3307	325	24	ensure	ensure	VERB
fuelectenerg-3307	325	25	:	:	PUNCT
fuelectenerg-3307	325	26	svs	svs	VERB
fuelectenerg-3307	325	27	of	of	ADP
fuelectenerg-3307	325	28	xa	xa	PROPN
fuelectenerg-3307	325	29	,	,	PUNCT
fuelectenerg-3307	325	30	xb	xb	PROPN
fuelectenerg-3307	325	31	,	,	PUNCT
fuelectenerg-3307	325	32	and	and	CCONJ
fuelectenerg-3307	325	33	xc	xc	PROPN
fuelectenerg-3307	325	34	:	:	PUNCT
fuelectenerg-3307	326	1	disjoint	disjoint	NOUN
fuelectenerg-3307	326	2	sets	set	NOUN
fuelectenerg-3307	326	3	of	of	ADP
fuelectenerg-3307	326	4	variables	variable	NOUN
fuelectenerg-3307	326	5	1	1	NUM
fuelectenerg-3307	326	6	:	:	PUNCT
fuelectenerg-3307	326	7	all	all	DET
fuelectenerg-3307	326	8	var	var	PROPN
fuelectenerg-3307	326	9	←	←	PROPN
fuelectenerg-3307	326	10	sv	sv	PROPN
fuelectenerg-3307	326	11	uni	uni	PROPN
fuelectenerg-3307	326	12	(	(	PUNCT
fuelectenerg-3307	326	13	fq	fq	PROPN
fuelectenerg-3307	326	14	,	,	PUNCT
fuelectenerg-3307	326	15	fr	fr	PROPN
fuelectenerg-3307	326	16	)	)	PUNCT
fuelectenerg-3307	326	17	2	2	NUM
fuelectenerg-3307	326	18	:	:	PUNCT
fuelectenerg-3307	326	19	xc	xc	PROPN
fuelectenerg-3307	326	20	←	←	PROPN
fuelectenerg-3307	326	21	sv	sv	PROPN
fuelectenerg-3307	326	22	dif(sv	dif(sv	VERB
fuelectenerg-3307	326	23	dif(all	dif(all	DET
fuelectenerg-3307	326	24	var	var	NOUN
fuelectenerg-3307	326	25	,	,	PUNCT
fuelectenerg-3307	326	26	xa),xb	xa),xb	PROPN
fuelectenerg-3307	326	27	)	)	PUNCT
fuelectenerg-3307	326	28	)	)	PUNCT
fuelectenerg-3307	327	1	3	3	NUM
fuelectenerg-3307	327	2	:	:	PUNCT
fuelectenerg-3307	327	3	xb	xb	PROPN
fuelectenerg-3307	327	4	←	←	PROPN
fuelectenerg-3307	327	5	xb	xb	PROPN
fuelectenerg-3307	327	6	4	4	NUM
fuelectenerg-3307	327	7	:	:	PUNCT
fuelectenerg-3307	327	8	xb	xb	PROPN
fuelectenerg-3307	327	9	←	←	PROPN
fuelectenerg-3307	327	10	/0	/0	PROPN
fuelectenerg-3307	327	11	5	5	NUM
fuelectenerg-3307	327	12	:	:	PUNCT
fuelectenerg-3307	327	13	f	f	PROPN
fuelectenerg-3307	327	14	∂xa	∂xa	PROPN
fuelectenerg-3307	327	15	q	q	PROPN
fuelectenerg-3307	327	16	←	←	PROPN
fuelectenerg-3307	327	17	isc(maxk	isc(maxk	PROPN
fuelectenerg-3307	327	18	(	(	PUNCT
fuelectenerg-3307	327	19	fq	fq	PROPN
fuelectenerg-3307	327	20	,	,	PUNCT
fuelectenerg-3307	327	21	xa),maxk	xa),maxk	PROPN
fuelectenerg-3307	327	22	(	(	PUNCT
fuelectenerg-3307	327	23	fr	fr	PROPN
fuelectenerg-3307	327	24	,	,	PUNCT
fuelectenerg-3307	327	25	xa	xa	PROPN
fuelectenerg-3307	327	26	)	)	PUNCT
fuelectenerg-3307	327	27	)	)	PUNCT
fuelectenerg-3307	327	28	6	6	NUM
fuelectenerg-3307	327	29	:	:	PUNCT
fuelectenerg-3307	327	30	f	f	PROPN
fuelectenerg-3307	327	31	∂xa	∂xa	PROPN
fuelectenerg-3307	327	32	r	r	PROPN
fuelectenerg-3307	327	33	←	←	PROPN
fuelectenerg-3307	327	34	uni(mink	uni(mink	NOUN
fuelectenerg-3307	327	35	(	(	PUNCT
fuelectenerg-3307	327	36	fq	fq	PROPN
fuelectenerg-3307	327	37	,	,	PUNCT
fuelectenerg-3307	327	38	xa),mink	xa),mink	PROPN
fuelectenerg-3307	327	39	(	(	PUNCT
fuelectenerg-3307	327	40	fr	fr	PROPN
fuelectenerg-3307	327	41	,	,	PUNCT
fuelectenerg-3307	327	42	xa	xa	PROPN
fuelectenerg-3307	327	43	)	)	PUNCT
fuelectenerg-3307	327	44	)	)	PUNCT
fuelectenerg-3307	328	1	7	7	NUM
fuelectenerg-3307	328	2	:	:	PUNCT
fuelectenerg-3307	328	3	h0	h0	PROPN
fuelectenerg-3307	328	4	←	←	PROPN
fuelectenerg-3307	328	5	maxk	maxk	PROPN
fuelectenerg-3307	328	6	(	(	PUNCT
fuelectenerg-3307	328	7	f	f	PROPN
fuelectenerg-3307	328	8	∂xa	∂xa	PROPN
fuelectenerg-3307	328	9	q	q	PROPN
fuelectenerg-3307	328	10	,	,	PUNCT
fuelectenerg-3307	328	11	xb	xb	PROPN
fuelectenerg-3307	328	12	)	)	PUNCT
fuelectenerg-3307	328	13	8	8	NUM
fuelectenerg-3307	328	14	:	:	PUNCT
fuelectenerg-3307	328	15	while	while	SCONJ
fuelectenerg-3307	328	16	sv	sv	PROPN
fuelectenerg-3307	328	17	next(xc	next(xc	PROPN
fuelectenerg-3307	328	18	,	,	PUNCT
fuelectenerg-3307	328	19	xb	xb	PROPN
fuelectenerg-3307	328	20	,	,	PUNCT
fuelectenerg-3307	328	21	xb	xb	PROPN
fuelectenerg-3307	328	22	)	)	PUNCT
fuelectenerg-3307	328	23	do	do	VERB
fuelectenerg-3307	328	24	9	9	NUM
fuelectenerg-3307	328	25	:	:	PUNCT
fuelectenerg-3307	328	26	if	if	SCONJ
fuelectenerg-3307	328	27	te	te	PROPN
fuelectenerg-3307	328	28	isc(maxk(h0,xb	isc(maxk(h0,xb	NUM
fuelectenerg-3307	328	29	)	)	PUNCT
fuelectenerg-3307	328	30	,	,	PUNCT
fuelectenerg-3307	328	31	f	f	PROPN
fuelectenerg-3307	328	32	∂xa	∂xa	PROPN
fuelectenerg-3307	328	33	r	r	NOUN
fuelectenerg-3307	328	34	)	)	PUNCT
fuelectenerg-3307	328	35	then	then	ADV
fuelectenerg-3307	328	36	10	10	NUM
fuelectenerg-3307	328	37	:	:	PUNCT
fuelectenerg-3307	328	38	xb	xb	PROPN
fuelectenerg-3307	328	39	←	←	PROPN
fuelectenerg-3307	328	40	sv	sv	PROPN
fuelectenerg-3307	328	41	uni(xb	uni(xb	PROPN
fuelectenerg-3307	328	42	,	,	PUNCT
fuelectenerg-3307	328	43	xb	xb	PROPN
fuelectenerg-3307	328	44	)	)	PUNCT
fuelectenerg-3307	328	45	11	11	NUM
fuelectenerg-3307	328	46	:	:	PUNCT
fuelectenerg-3307	328	47	h0	h0	PROPN
fuelectenerg-3307	328	48	←	←	PROPN
fuelectenerg-3307	328	49	maxk	maxk	PROPN
fuelectenerg-3307	328	50	(	(	PUNCT
fuelectenerg-3307	328	51	f	f	PROPN
fuelectenerg-3307	328	52	∂xa	∂xa	PROPN
fuelectenerg-3307	328	53	q	q	PROPN
fuelectenerg-3307	328	54	,	,	PUNCT
fuelectenerg-3307	328	55	xb	xb	PROPN
fuelectenerg-3307	328	56	)	)	PUNCT
fuelectenerg-3307	328	57	12	12	NUM
fuelectenerg-3307	328	58	:	:	PUNCT
fuelectenerg-3307	328	59	end	end	VERB
fuelectenerg-3307	328	60	if	if	SCONJ
fuelectenerg-3307	328	61	13	13	NUM
fuelectenerg-3307	328	62	:	:	PUNCT
fuelectenerg-3307	328	63	end	end	VERB
fuelectenerg-3307	328	64	while	while	SCONJ
fuelectenerg-3307	328	65	14	14	NUM
fuelectenerg-3307	328	66	:	:	PUNCT
fuelectenerg-3307	328	67	g	g	PROPN
fuelectenerg-3307	328	68	←	←	PROPN
fuelectenerg-3307	328	69	isc(sv	isc(sv	NOUN
fuelectenerg-3307	328	70	get(xa),h0	get(xa),h0	NOUN
fuelectenerg-3307	328	71	)	)	PUNCT
fuelectenerg-3307	328	72	15	15	NUM
fuelectenerg-3307	328	73	:	:	PUNCT
fuelectenerg-3307	328	74	hq	hq	PROPN
fuelectenerg-3307	328	75	←	←	PROPN
fuelectenerg-3307	328	76	maxk(uni(isc(g	maxk(uni(isc(g	PROPN
fuelectenerg-3307	328	77	,	,	PUNCT
fuelectenerg-3307	328	78	fq	fq	PROPN
fuelectenerg-3307	328	79	)	)	PUNCT
fuelectenerg-3307	328	80	,	,	PUNCT
fuelectenerg-3307	328	81	isc(g	isc(g	PROPN
fuelectenerg-3307	328	82	,	,	PUNCT
fuelectenerg-3307	328	83	fr)),xa	fr)),xa	NOUN
fuelectenerg-3307	328	84	)	)	PUNCT
fuelectenerg-3307	328	85	16	16	NUM
fuelectenerg-3307	328	86	:	:	PUNCT
fuelectenerg-3307	328	87	hr	hr	PROPN
fuelectenerg-3307	328	88	←	←	PROPN
fuelectenerg-3307	328	89	maxk(uni(isc(g	maxk(uni(isc(g	PROPN
fuelectenerg-3307	328	90	,	,	PUNCT
fuelectenerg-3307	328	91	fr	fr	PROPN
fuelectenerg-3307	328	92	)	)	PUNCT
fuelectenerg-3307	328	93	,	,	PUNCT
fuelectenerg-3307	328	94	isc(g	isc(g	PROPN
fuelectenerg-3307	328	95	,	,	PUNCT
fuelectenerg-3307	328	96	fq)),xa	fq)),xa	PROPN
fuelectenerg-3307	328	97	)	)	PUNCT
fuelectenerg-3307	328	98	17	17	NUM
fuelectenerg-3307	328	99	:	:	PUNCT
fuelectenerg-3307	328	100	xc	xc	PROPN
fuelectenerg-3307	328	101	←	←	PROPN
fuelectenerg-3307	328	102	sv	sv	PROPN
fuelectenerg-3307	328	103	dif(sv	dif(sv	VERB
fuelectenerg-3307	328	104	dif(all	dif(all	DET
fuelectenerg-3307	328	105	var	var	NOUN
fuelectenerg-3307	328	106	,	,	PUNCT
fuelectenerg-3307	328	107	xa),xb	xa),xb	PROPN
fuelectenerg-3307	328	108	)	)	PUNCT
fuelectenerg-3307	328	109	)	)	PUNCT
fuelectenerg-3307	329	1	18	18	NUM
fuelectenerg-3307	329	2	:	:	PUNCT
fuelectenerg-3307	329	3	xa	xa	PROPN
fuelectenerg-3307	329	4	←	←	PROPN
fuelectenerg-3307	329	5	xa	xa	PROPN
fuelectenerg-3307	329	6	19	19	NUM
fuelectenerg-3307	329	7	:	:	PUNCT
fuelectenerg-3307	329	8	xi	xi	PROPN
fuelectenerg-3307	329	9	←	←	PROPN
fuelectenerg-3307	329	10	/0	/0	PROPN
fuelectenerg-3307	329	11	20	20	NUM
fuelectenerg-3307	329	12	:	:	PUNCT
fuelectenerg-3307	329	13	while	while	SCONJ
fuelectenerg-3307	329	14	sv	sv	PROPN
fuelectenerg-3307	329	15	next(xc	next(xc	ADJ
fuelectenerg-3307	329	16	,	,	PUNCT
fuelectenerg-3307	329	17	xi	xi	PROPN
fuelectenerg-3307	329	18	,	,	PUNCT
fuelectenerg-3307	329	19	xi	xi	PROPN
fuelectenerg-3307	329	20	)	)	PUNCT
fuelectenerg-3307	329	21	do	do	VERB
fuelectenerg-3307	329	22	21	21	NUM
fuelectenerg-3307	329	23	:	:	PUNCT
fuelectenerg-3307	329	24	if	if	SCONJ
fuelectenerg-3307	329	25	te	te	PROPN
fuelectenerg-3307	329	26	uni(mink(hq	uni(mink(hq	PROPN
fuelectenerg-3307	329	27	,	,	PUNCT
fuelectenerg-3307	329	28	xi),mink(hr	xi),mink(hr	PROPN
fuelectenerg-3307	329	29	,	,	PUNCT
fuelectenerg-3307	329	30	xi	xi	NOUN
fuelectenerg-3307	329	31	)	)	PUNCT
fuelectenerg-3307	329	32	)	)	PUNCT
fuelectenerg-3307	330	1	then	then	ADV
fuelectenerg-3307	330	2	22	22	NUM
fuelectenerg-3307	330	3	:	:	PUNCT
fuelectenerg-3307	330	4	xa	xa	PROPN
fuelectenerg-3307	330	5	←	←	PROPN
fuelectenerg-3307	330	6	sv	sv	PROPN
fuelectenerg-3307	330	7	uni(xa	uni(xa	PROPN
fuelectenerg-3307	330	8	,	,	PUNCT
fuelectenerg-3307	330	9	xi	xi	PROPN
fuelectenerg-3307	330	10	)	)	PUNCT
fuelectenerg-3307	330	11	23	23	NUM
fuelectenerg-3307	330	12	:	:	PUNCT
fuelectenerg-3307	330	13	xi	xi	PROPN
fuelectenerg-3307	330	14	←	←	PROPN
fuelectenerg-3307	330	15	sv	sv	PROPN
fuelectenerg-3307	330	16	get(xi	get(xi	PROPN
fuelectenerg-3307	330	17	)	)	PUNCT
fuelectenerg-3307	330	18	24	24	NUM
fuelectenerg-3307	330	19	:	:	PUNCT
fuelectenerg-3307	330	20	g	g	PROPN
fuelectenerg-3307	330	21	←	←	PROPN
fuelectenerg-3307	330	22	syd(xi	syd(xi	PROPN
fuelectenerg-3307	330	23	,	,	PUNCT
fuelectenerg-3307	330	24	g	g	NOUN
fuelectenerg-3307	330	25	)	)	PUNCT
fuelectenerg-3307	330	26	25	25	NUM
fuelectenerg-3307	330	27	:	:	PUNCT
fuelectenerg-3307	330	28	hq	hq	PROPN
fuelectenerg-3307	330	29	←	←	PROPN
fuelectenerg-3307	330	30	maxk(uni(isc(xi	maxk(uni(isc(xi	PROPN
fuelectenerg-3307	330	31	,	,	PUNCT
fuelectenerg-3307	330	32	hq	hq	NOUN
fuelectenerg-3307	330	33	)	)	PUNCT
fuelectenerg-3307	330	34	,	,	PUNCT
fuelectenerg-3307	330	35	isc(xi	isc(xi	NUM
fuelectenerg-3307	330	36	,	,	PUNCT
fuelectenerg-3307	330	37	hr)),xi	hr)),xi	PROPN
fuelectenerg-3307	330	38	)	)	PUNCT
fuelectenerg-3307	330	39	26	26	NUM
fuelectenerg-3307	330	40	:	:	PUNCT
fuelectenerg-3307	330	41	hr	hr	PROPN
fuelectenerg-3307	330	42	←	←	PROPN
fuelectenerg-3307	330	43	maxk(uni(isc(xi	maxk(uni(isc(xi	PROPN
fuelectenerg-3307	330	44	,	,	PUNCT
fuelectenerg-3307	330	45	hr	hr	NOUN
fuelectenerg-3307	330	46	)	)	PUNCT
fuelectenerg-3307	330	47	,	,	PUNCT
fuelectenerg-3307	330	48	isc(xi	isc(xi	NUM
fuelectenerg-3307	330	49	,	,	PUNCT
fuelectenerg-3307	330	50	hq)),xi	hq)),xi	PROPN
fuelectenerg-3307	330	51	)	)	PUNCT
fuelectenerg-3307	330	52	27	27	NUM
fuelectenerg-3307	330	53	:	:	PUNCT
fuelectenerg-3307	330	54	end	end	VERB
fuelectenerg-3307	330	55	if	if	SCONJ
fuelectenerg-3307	330	56	28	28	NUM
fuelectenerg-3307	330	57	:	:	PUNCT
fuelectenerg-3307	330	58	end	end	NOUN
fuelectenerg-3307	330	59	while	while	SCONJ
fuelectenerg-3307	330	60	29	29	NUM
fuelectenerg-3307	330	61	:	:	PUNCT
fuelectenerg-3307	330	62	xc	xc	PROPN
fuelectenerg-3307	330	63	←	←	PROPN
fuelectenerg-3307	330	64	sv	sv	PROPN
fuelectenerg-3307	330	65	dif(xc	dif(xc	PROPN
fuelectenerg-3307	330	66	,	,	PUNCT
fuelectenerg-3307	330	67	xa	xa	PROPN
fuelectenerg-3307	330	68	)	)	PUNCT
fuelectenerg-3307	330	69	30	30	NUM
fuelectenerg-3307	330	70	:	:	PUNCT
fuelectenerg-3307	330	71	return	return	NOUN
fuelectenerg-3307	330	72	(	(	PUNCT
fuelectenerg-3307	330	73	g	g	NOUN
fuelectenerg-3307	330	74	,	,	PUNCT
fuelectenerg-3307	330	75	hq	hq	NOUN
fuelectenerg-3307	330	76	,	,	PUNCT
fuelectenerg-3307	330	77	hr	hr	NOUN
fuelectenerg-3307	330	78	,	,	PUNCT
fuelectenerg-3307	330	79	xa	xa	PROPN
fuelectenerg-3307	330	80	,	,	PUNCT
fuelectenerg-3307	330	81	xb	xb	PROPN
fuelectenerg-3307	330	82	,	,	PUNCT
fuelectenerg-3307	330	83	xc	xc	PROPN
fuelectenerg-3307	330	84	)	)	PUNCT
fuelectenerg-3307	330	85	of	of	ADP
fuelectenerg-3307	330	86	variables	variable	NOUN
fuelectenerg-3307	330	87	xa	xa	PROPN
fuelectenerg-3307	331	1	(	(	PUNCT
fuelectenerg-3307	331	2	line	line	NOUN
fuelectenerg-3307	331	3	18	18	NUM
fuelectenerg-3307	331	4	)	)	PUNCT
fuelectenerg-3307	331	5	,	,	PUNCT
fuelectenerg-3307	331	6	and	and	CCONJ
fuelectenerg-3307	331	7	the	the	DET
fuelectenerg-3307	331	8	selection	selection	NOUN
fuelectenerg-3307	331	9	variable	variable	NOUN
fuelectenerg-3307	331	10	xi	xi	X
fuelectenerg-3307	331	11	(	(	PUNCT
fuelectenerg-3307	331	12	line	line	NOUN
fuelectenerg-3307	331	13	19	19	NUM
fuelectenerg-3307	331	14	)	)	PUNCT
fuelectenerg-3307	331	15	needed	need	VERB
fuelectenerg-3307	331	16	to	to	PART
fuelectenerg-3307	331	17	evaluate	evaluate	VERB
fuelectenerg-3307	331	18	the	the	DET
fuelectenerg-3307	331	19	possibility	possibility	NOUN
fuelectenerg-3307	331	20	of	of	ADP
fuelectenerg-3307	331	21	the	the	DET
fuelectenerg-3307	331	22	extension	extension	NOUN
fuelectenerg-3307	331	23	of	of	ADP
fuelectenerg-3307	331	24	xa	xa	PROPN
fuelectenerg-3307	331	25	.	.	PUNCT
fuelectenerg-3307	332	1	compact	compact	ADJ
fuelectenerg-3307	332	2	xor	xor	PROPN
fuelectenerg-3307	332	3	-	-	PUNCT
fuelectenerg-3307	332	4	bi	bi	NOUN
fuelectenerg-3307	332	5	-	-	NOUN
fuelectenerg-3307	332	6	decomposition	decomposition	NOUN
fuelectenerg-3307	332	7	for	for	ADP
fuelectenerg-3307	332	8	lattices	lattice	NOUN
fuelectenerg-3307	332	9	of	of	ADP
fuelectenerg-3307	332	10	boolean	boolean	ADJ
fuelectenerg-3307	332	11	functions	function	NOUN
fuelectenerg-3307	332	12	11	11	NUM
fuelectenerg-3307	332	13	condition	condition	NOUN
fuelectenerg-3307	332	14	(	(	PUNCT
fuelectenerg-3307	332	15	14	14	NUM
fuelectenerg-3307	332	16	)	)	PUNCT
fuelectenerg-3307	332	17	of	of	ADP
fuelectenerg-3307	332	18	theorem	theorem	NOUN
fuelectenerg-3307	332	19	1	1	NUM
fuelectenerg-3307	332	20	is	be	AUX
fuelectenerg-3307	332	21	verified	verify	VERB
fuelectenerg-3307	332	22	in	in	ADP
fuelectenerg-3307	332	23	line	line	NOUN
fuelectenerg-3307	332	24	21	21	NUM
fuelectenerg-3307	332	25	using	use	VERB
fuelectenerg-3307	332	26	the	the	DET
fuelectenerg-3307	332	27	formula	formula	NOUN
fuelectenerg-3307	332	28	(	(	PUNCT
fuelectenerg-3307	332	29	2	2	NUM
fuelectenerg-3307	332	30	)	)	PUNCT
fuelectenerg-3307	332	31	to	to	PART
fuelectenerg-3307	332	32	determine	determine	VERB
fuelectenerg-3307	332	33	the	the	DET
fuelectenerg-3307	332	34	off	off	ADV
fuelectenerg-3307	332	35	-	-	PUNCT
fuelectenerg-3307	332	36	set	set	NOUN
fuelectenerg-3307	332	37	of	of	ADP
fuelectenerg-3307	332	38	the	the	DET
fuelectenerg-3307	332	39	derivative	derivative	NOUN
fuelectenerg-3307	332	40	of	of	ADP
fuelectenerg-3307	332	41	a	a	DET
fuelectenerg-3307	332	42	lattice	lattice	NOUN
fuelectenerg-3307	332	43	with	with	ADP
fuelectenerg-3307	332	44	regard	regard	NOUN
fuelectenerg-3307	332	45	to	to	ADP
fuelectenerg-3307	332	46	the	the	DET
fuelectenerg-3307	332	47	single	single	ADJ
fuelectenerg-3307	332	48	variable	variable	NOUN
fuelectenerg-3307	333	1	xi	xi	INTJ
fuelectenerg-3307	333	2	.	.	PUNCT
fuelectenerg-3307	334	1	if	if	SCONJ
fuelectenerg-3307	334	2	this	this	DET
fuelectenerg-3307	334	3	condition	condition	NOUN
fuelectenerg-3307	334	4	is	be	AUX
fuelectenerg-3307	334	5	satisfied	satisfied	ADJ
fuelectenerg-3307	334	6	:	:	PUNCT
fuelectenerg-3307	334	7	•	•	ADP
fuelectenerg-3307	334	8	the	the	DET
fuelectenerg-3307	334	9	set	set	NOUN
fuelectenerg-3307	334	10	of	of	ADP
fuelectenerg-3307	334	11	variables	variable	NOUN
fuelectenerg-3307	334	12	xa	xa	PROPN
fuelectenerg-3307	334	13	is	be	AUX
fuelectenerg-3307	334	14	extended	extend	VERB
fuelectenerg-3307	334	15	by	by	ADP
fuelectenerg-3307	334	16	xi	xi	X
fuelectenerg-3307	334	17	in	in	ADP
fuelectenerg-3307	334	18	line	line	NOUN
fuelectenerg-3307	334	19	22	22	NUM
fuelectenerg-3307	334	20	using	use	VERB
fuelectenerg-3307	334	21	the	the	DET
fuelectenerg-3307	334	22	xboolefunction	xboolefunction	NOUN
fuelectenerg-3307	334	23	sv	sv	PROPN
fuelectenerg-3307	334	24	uni	uni	PROPN
fuelectenerg-3307	334	25	(	(	PUNCT
fuelectenerg-3307	334	26	set	set	NOUN
fuelectenerg-3307	334	27	of	of	ADP
fuelectenerg-3307	334	28	variables	variable	NOUN
fuelectenerg-3307	334	29	union	union	PROPN
fuelectenerg-3307	334	30	)	)	PUNCT
fuelectenerg-3307	334	31	;	;	PUNCT
fuelectenerg-3307	334	32	•	•	X
fuelectenerg-3307	334	33	xi	xi	INTJ
fuelectenerg-3307	334	34	is	be	AUX
fuelectenerg-3307	334	35	transformed	transform	VERB
fuelectenerg-3307	334	36	in	in	ADP
fuelectenerg-3307	334	37	line	line	NOUN
fuelectenerg-3307	334	38	23	23	NUM
fuelectenerg-3307	334	39	from	from	ADP
fuelectenerg-3307	334	40	a	a	DET
fuelectenerg-3307	334	41	set	set	NOUN
fuelectenerg-3307	334	42	of	of	ADP
fuelectenerg-3307	334	43	variables	variable	NOUN
fuelectenerg-3307	334	44	into	into	ADP
fuelectenerg-3307	334	45	the	the	DET
fuelectenerg-3307	334	46	tvl	tvl	NOUN
fuelectenerg-3307	334	47	representing	represent	VERB
fuelectenerg-3307	334	48	x1	x1	PROPN
fuelectenerg-3307	334	49	=	=	SYM
fuelectenerg-3307	334	50	1	1	NUM
fuelectenerg-3307	334	51	using	use	VERB
fuelectenerg-3307	334	52	the	the	DET
fuelectenerg-3307	334	53	xboole	xboole	NOUN
fuelectenerg-3307	334	54	-	-	PUNCT
fuelectenerg-3307	334	55	function	function	NOUN
fuelectenerg-3307	334	56	sv	sv	AUX
fuelectenerg-3307	334	57	get	get	VERB
fuelectenerg-3307	334	58	(	(	PUNCT
fuelectenerg-3307	334	59	set	set	VERB
fuelectenerg-3307	334	60	of	of	ADP
fuelectenerg-3307	334	61	variables	variable	NOUN
fuelectenerg-3307	334	62	get	get	VERB
fuelectenerg-3307	334	63	)	)	PUNCT
fuelectenerg-3307	334	64	;	;	PUNCT
fuelectenerg-3307	334	65	•	•	ADP
fuelectenerg-3307	334	66	the	the	DET
fuelectenerg-3307	334	67	new	new	ADJ
fuelectenerg-3307	334	68	function	function	NOUN
fuelectenerg-3307	334	69	g	g	NOUN
fuelectenerg-3307	334	70	is	be	AUX
fuelectenerg-3307	334	71	calculated	calculate	VERB
fuelectenerg-3307	334	72	in	in	ADP
fuelectenerg-3307	334	73	line	line	NOUN
fuelectenerg-3307	334	74	24	24	NUM
fuelectenerg-3307	334	75	based	base	VERB
fuelectenerg-3307	334	76	on	on	ADP
fuelectenerg-3307	334	77	(	(	PUNCT
fuelectenerg-3307	334	78	20	20	NUM
fuelectenerg-3307	334	79	)	)	PUNCT
fuelectenerg-3307	334	80	using	use	VERB
fuelectenerg-3307	334	81	the	the	DET
fuelectenerg-3307	334	82	xboolefunction	xboolefunction	NOUN
fuelectenerg-3307	334	83	syd	syd	PROPN
fuelectenerg-3307	334	84	(	(	PUNCT
fuelectenerg-3307	334	85	symmetric	symmetric	ADJ
fuelectenerg-3307	334	86	difference	difference	NOUN
fuelectenerg-3307	334	87	)	)	PUNCT
fuelectenerg-3307	334	88	;	;	PUNCT
fuelectenerg-3307	334	89	•	•	ADP
fuelectenerg-3307	334	90	the	the	DET
fuelectenerg-3307	334	91	new	new	ADJ
fuelectenerg-3307	334	92	on	on	ADP
fuelectenerg-3307	334	93	-	-	PUNCT
fuelectenerg-3307	334	94	set	set	VERB
fuelectenerg-3307	334	95	function	function	NOUN
fuelectenerg-3307	334	96	hq(x	hq(x	PUNCT
fuelectenerg-3307	334	97	)	)	PUNCT
fuelectenerg-3307	334	98	is	be	AUX
fuelectenerg-3307	334	99	calculated	calculate	VERB
fuelectenerg-3307	334	100	in	in	ADP
fuelectenerg-3307	334	101	line	line	NOUN
fuelectenerg-3307	334	102	25	25	NUM
fuelectenerg-3307	334	103	based	base	VERB
fuelectenerg-3307	334	104	on	on	ADP
fuelectenerg-3307	334	105	(	(	PUNCT
fuelectenerg-3307	334	106	21	21	NUM
fuelectenerg-3307	334	107	)	)	PUNCT
fuelectenerg-3307	334	108	;	;	PUNCT
fuelectenerg-3307	334	109	and	and	CCONJ
fuelectenerg-3307	334	110	•	•	NUM
fuelectenerg-3307	334	111	the	the	DET
fuelectenerg-3307	334	112	new	new	ADJ
fuelectenerg-3307	334	113	off	off	ADV
fuelectenerg-3307	334	114	-	-	PUNCT
fuelectenerg-3307	334	115	set	set	VERB
fuelectenerg-3307	334	116	function	function	NOUN
fuelectenerg-3307	334	117	hr(x	hr(x	NOUN
fuelectenerg-3307	334	118	)	)	PUNCT
fuelectenerg-3307	334	119	is	be	AUX
fuelectenerg-3307	334	120	calculated	calculate	VERB
fuelectenerg-3307	334	121	in	in	ADP
fuelectenerg-3307	334	122	line	line	NOUN
fuelectenerg-3307	334	123	26	26	NUM
fuelectenerg-3307	334	124	based	base	VERB
fuelectenerg-3307	334	125	on	on	ADP
fuelectenerg-3307	334	126	(	(	PUNCT
fuelectenerg-3307	334	127	22	22	NUM
fuelectenerg-3307	334	128	)	)	PUNCT
fuelectenerg-3307	334	129	.	.	PUNCT
fuelectenerg-3307	335	1	the	the	DET
fuelectenerg-3307	335	2	restriction	restriction	NOUN
fuelectenerg-3307	335	3	of	of	ADP
fuelectenerg-3307	335	4	the	the	DET
fuelectenerg-3307	335	5	set	set	NOUN
fuelectenerg-3307	335	6	of	of	ADP
fuelectenerg-3307	335	7	commonly	commonly	ADV
fuelectenerg-3307	335	8	used	use	VERB
fuelectenerg-3307	335	9	variables	variable	NOUN
fuelectenerg-3307	335	10	xc	xc	PROPN
fuelectenerg-3307	335	11	is	be	AUX
fuelectenerg-3307	335	12	realized	realize	VERB
fuelectenerg-3307	335	13	in	in	ADP
fuelectenerg-3307	335	14	line	line	NOUN
fuelectenerg-3307	335	15	29	29	NUM
fuelectenerg-3307	335	16	outside	outside	ADP
fuelectenerg-3307	335	17	of	of	ADP
fuelectenerg-3307	335	18	the	the	DET
fuelectenerg-3307	335	19	loop	loop	NOUN
fuelectenerg-3307	335	20	,	,	PUNCT
fuelectenerg-3307	335	21	because	because	SCONJ
fuelectenerg-3307	335	22	the	the	DET
fuelectenerg-3307	335	23	unchanged	unchanged	ADJ
fuelectenerg-3307	335	24	basic	basic	ADJ
fuelectenerg-3307	335	25	set	set	NOUN
fuelectenerg-3307	335	26	xc	xc	PROPN
fuelectenerg-3307	335	27	is	be	AUX
fuelectenerg-3307	335	28	needed	need	VERB
fuelectenerg-3307	335	29	in	in	ADP
fuelectenerg-3307	335	30	the	the	DET
fuelectenerg-3307	335	31	xboolefunction	xboolefunction	NOUN
fuelectenerg-3307	336	1	sv	sv	INTJ
fuelectenerg-3307	337	1	next	next	ADV
fuelectenerg-3307	337	2	in	in	ADP
fuelectenerg-3307	337	3	line	line	NOUN
fuelectenerg-3307	337	4	20	20	NUM
fuelectenerg-3307	337	5	to	to	PART
fuelectenerg-3307	337	6	select	select	VERB
fuelectenerg-3307	337	7	the	the	DET
fuelectenerg-3307	337	8	next	next	ADJ
fuelectenerg-3307	337	9	variable	variable	NOUN
fuelectenerg-3307	337	10	xi	xi	PROPN
fuelectenerg-3307	337	11	.	.	PUNCT
fuelectenerg-3307	338	1	the	the	DET
fuelectenerg-3307	338	2	complement	complement	NOUN
fuelectenerg-3307	338	3	operations	operation	NOUN
fuelectenerg-3307	338	4	in	in	ADP
fuelectenerg-3307	338	5	lines	line	NOUN
fuelectenerg-3307	338	6	15	15	NUM
fuelectenerg-3307	338	7	,	,	PUNCT
fuelectenerg-3307	338	8	16	16	NUM
fuelectenerg-3307	338	9	,	,	PUNCT
fuelectenerg-3307	338	10	24	24	NUM
fuelectenerg-3307	338	11	,	,	PUNCT
fuelectenerg-3307	338	12	and	and	CCONJ
fuelectenerg-3307	338	13	25	25	NUM
fuelectenerg-3307	338	14	are	be	AUX
fuelectenerg-3307	338	15	realized	realize	VERB
fuelectenerg-3307	338	16	using	use	VERB
fuelectenerg-3307	338	17	the	the	DET
fuelectenerg-3307	338	18	xboole	xboole	NOUN
fuelectenerg-3307	338	19	-	-	PUNCT
fuelectenerg-3307	338	20	function	function	NOUN
fuelectenerg-3307	338	21	cpl	cpl	NOUN
fuelectenerg-3307	338	22	.	.	PROPN
fuelectenerg-3307	338	23	5	5	NUM
fuelectenerg-3307	338	24	example	example	NOUN
fuelectenerg-3307	338	25	5.1	5.1	NUM
fuelectenerg-3307	338	26	the	the	DET
fuelectenerg-3307	338	27	chosen	choose	VERB
fuelectenerg-3307	338	28	lattice	lattice	NOUN
fuelectenerg-3307	338	29	and	and	CCONJ
fuelectenerg-3307	338	30	conditions	condition	NOUN
fuelectenerg-3307	338	31	for	for	ADP
fuelectenerg-3307	338	32	the	the	DET
fuelectenerg-3307	338	33	synthesis	synthesis	NOUN
fuelectenerg-3307	338	34	0	0	NUM
fuelectenerg-3307	338	35	0	0	NUM
fuelectenerg-3307	338	36	0	0	NUM
fuelectenerg-3307	339	1	1	1	NUM
fuelectenerg-3307	339	2	0	0	NUM
fuelectenerg-3307	339	3	1	1	NUM
fuelectenerg-3307	339	4	0	0	NUM
fuelectenerg-3307	339	5	1	1	NUM
fuelectenerg-3307	339	6	0	0	NUM
fuelectenerg-3307	339	7	1	1	NUM
fuelectenerg-3307	339	8	0	0	NUM
fuelectenerg-3307	339	9	1	1	NUM
fuelectenerg-3307	339	10	1	1	NUM
fuelectenerg-3307	339	11	1	1	NUM
fuelectenerg-3307	339	12	0	0	NUM
fuelectenerg-3307	339	13	0	0	NUM
fuelectenerg-3307	339	14	1	1	NUM
fuelectenerg-3307	339	15	1	1	NUM
fuelectenerg-3307	339	16	0	0	NUM
fuelectenerg-3307	339	17	1	1	NUM
fuelectenerg-3307	339	18	1	1	NUM
fuelectenerg-3307	339	19	0	0	NUM
fuelectenerg-3307	339	20	1	1	NUM
fuelectenerg-3307	339	21	0	0	NUM
fuelectenerg-3307	339	22	1	1	NUM
fuelectenerg-3307	339	23	1	1	NUM
fuelectenerg-3307	339	24	0	0	NUM
fuelectenerg-3307	339	25	0	0	NUM
fuelectenerg-3307	339	26	1	1	NUM
fuelectenerg-3307	339	27	1	1	NUM
fuelectenerg-3307	339	28	0	0	NUM
fuelectenerg-3307	339	29	1	1	NUM
fuelectenerg-3307	339	30	0	0	NUM
fuelectenerg-3307	339	31	0	0	NUM
fuelectenerg-3307	339	32	0	0	NUM
fuelectenerg-3307	339	33	0	0	NUM
fuelectenerg-3307	339	34	0	0	NUM
fuelectenerg-3307	339	35	0	0	NUM
fuelectenerg-3307	339	36	1	1	NUM
fuelectenerg-3307	339	37	1	1	NUM
fuelectenerg-3307	339	38	0	0	NUM
fuelectenerg-3307	339	39	0	0	NUM
fuelectenerg-3307	339	40	1	1	NUM
fuelectenerg-3307	339	41	1	1	NUM
fuelectenerg-3307	339	42	0	0	NUM
fuelectenerg-3307	339	43	x3	x3	NOUN
fuelectenerg-3307	339	44	0	0	NUM
fuelectenerg-3307	339	45	0	0	NUM
fuelectenerg-3307	339	46	1	1	NUM
fuelectenerg-3307	339	47	1	1	NUM
fuelectenerg-3307	339	48	1	1	NUM
fuelectenerg-3307	339	49	1	1	NUM
fuelectenerg-3307	339	50	0	0	NUM
fuelectenerg-3307	339	51	0	0	NUM
fuelectenerg-3307	340	1	x2	x2	NOUN
fuelectenerg-3307	340	2	0	0	NUM
fuelectenerg-3307	340	3	0	0	NUM
fuelectenerg-3307	340	4	0	0	NUM
fuelectenerg-3307	340	5	0	0	NUM
fuelectenerg-3307	340	6	1	1	NUM
fuelectenerg-3307	340	7	1	1	NUM
fuelectenerg-3307	340	8	1	1	NUM
fuelectenerg-3307	340	9	1	1	NUM
fuelectenerg-3307	340	10	x1	x1	PROPN
fuelectenerg-3307	340	11	φ	φ	PROPN
fuelectenerg-3307	340	12	φ	φ	PROPN
fuelectenerg-3307	340	13	φ	φ	PROPN
fuelectenerg-3307	340	14	x4	x4	PROPN
fuelectenerg-3307	340	15	x5	x5	PROPN
fuelectenerg-3307	340	16	l	l	PROPN
fuelectenerg-3307	340	17	〈	〈	PROPN
fuelectenerg-3307	340	18	fq(x	fq(x	NOUN
fuelectenerg-3307	340	19	)	)	PUNCT
fuelectenerg-3307	340	20	,	,	PUNCT
fuelectenerg-3307	340	21	fr(x	fr(x	X
fuelectenerg-3307	340	22	)	)	PUNCT
fuelectenerg-3307	340	23	〉	〉	NOUN
fuelectenerg-3307	340	24	(	(	PUNCT
fuelectenerg-3307	340	25	a	a	X
fuelectenerg-3307	340	26	)	)	PUNCT
fuelectenerg-3307	340	27	0	0	NUM
fuelectenerg-3307	340	28	0	0	NUM
fuelectenerg-3307	340	29	0	0	NUM
fuelectenerg-3307	340	30	1	1	NUM
fuelectenerg-3307	340	31	0	0	NUM
fuelectenerg-3307	340	32	1	1	NUM
fuelectenerg-3307	340	33	0	0	NUM
fuelectenerg-3307	340	34	1	1	NUM
fuelectenerg-3307	340	35	0	0	NUM
fuelectenerg-3307	340	36	1	1	NUM
fuelectenerg-3307	340	37	0	0	NUM
fuelectenerg-3307	340	38	1	1	NUM
fuelectenerg-3307	340	39	1	1	NUM
fuelectenerg-3307	340	40	1	1	NUM
fuelectenerg-3307	340	41	0	0	NUM
fuelectenerg-3307	340	42	0	0	NUM
fuelectenerg-3307	340	43	1	1	NUM
fuelectenerg-3307	340	44	1	1	NUM
fuelectenerg-3307	340	45	0	0	NUM
fuelectenerg-3307	340	46	0	0	NUM
fuelectenerg-3307	340	47	1	1	NUM
fuelectenerg-3307	340	48	1	1	NUM
fuelectenerg-3307	340	49	0	0	NUM
fuelectenerg-3307	340	50	1	1	NUM
fuelectenerg-3307	340	51	0	0	NUM
fuelectenerg-3307	340	52	1	1	NUM
fuelectenerg-3307	340	53	1	1	NUM
fuelectenerg-3307	340	54	0	0	NUM
fuelectenerg-3307	340	55	0	0	NUM
fuelectenerg-3307	340	56	1	1	NUM
fuelectenerg-3307	340	57	1	1	NUM
fuelectenerg-3307	340	58	0	0	NUM
fuelectenerg-3307	340	59	1	1	NUM
fuelectenerg-3307	340	60	1	1	NUM
fuelectenerg-3307	340	61	0	0	NUM
fuelectenerg-3307	340	62	0	0	NUM
fuelectenerg-3307	340	63	0	0	NUM
fuelectenerg-3307	340	64	0	0	NUM
fuelectenerg-3307	340	65	0	0	NUM
fuelectenerg-3307	340	66	0	0	NUM
fuelectenerg-3307	340	67	0	0	NUM
fuelectenerg-3307	340	68	1	1	NUM
fuelectenerg-3307	340	69	1	1	NUM
fuelectenerg-3307	340	70	0	0	NUM
fuelectenerg-3307	340	71	0	0	NUM
fuelectenerg-3307	340	72	1	1	NUM
fuelectenerg-3307	340	73	1	1	NUM
fuelectenerg-3307	340	74	0	0	NUM
fuelectenerg-3307	340	75	x3	x3	NOUN
fuelectenerg-3307	340	76	0	0	NUM
fuelectenerg-3307	340	77	0	0	NUM
fuelectenerg-3307	340	78	1	1	NUM
fuelectenerg-3307	340	79	1	1	NUM
fuelectenerg-3307	340	80	1	1	NUM
fuelectenerg-3307	340	81	1	1	NUM
fuelectenerg-3307	340	82	0	0	NUM
fuelectenerg-3307	340	83	0	0	NUM
fuelectenerg-3307	341	1	x2	x2	NOUN
fuelectenerg-3307	341	2	0	0	NUM
fuelectenerg-3307	341	3	0	0	NUM
fuelectenerg-3307	341	4	0	0	NUM
fuelectenerg-3307	341	5	0	0	NUM
fuelectenerg-3307	341	6	1	1	NUM
fuelectenerg-3307	341	7	1	1	NUM
fuelectenerg-3307	341	8	1	1	NUM
fuelectenerg-3307	341	9	1	1	NUM
fuelectenerg-3307	341	10	x1	x1	NUM
fuelectenerg-3307	341	11	x4	x4	PROPN
fuelectenerg-3307	341	12	x5	x5	PROPN
fuelectenerg-3307	341	13	y	y	PROPN
fuelectenerg-3307	341	14	=	=	SYM
fuelectenerg-3307	341	15	f	f	PROPN
fuelectenerg-3307	341	16	(	(	PUNCT
fuelectenerg-3307	341	17	x	x	X
fuelectenerg-3307	341	18	)	)	PUNCT
fuelectenerg-3307	341	19	(	(	PUNCT
fuelectenerg-3307	341	20	b	b	X
fuelectenerg-3307	341	21	)	)	PUNCT
fuelectenerg-3307	341	22	fig	fig	NOUN
fuelectenerg-3307	341	23	.	.	PUNCT
fuelectenerg-3307	342	1	1	1	X
fuelectenerg-3307	342	2	.	.	X
fuelectenerg-3307	342	3	karnaugh	karnaugh	NOUN
fuelectenerg-3307	342	4	-	-	PUNCT
fuelectenerg-3307	342	5	maps	map	NOUN
fuelectenerg-3307	342	6	of	of	ADP
fuelectenerg-3307	342	7	(	(	PUNCT
fuelectenerg-3307	342	8	a	a	X
fuelectenerg-3307	342	9	)	)	PUNCT
fuelectenerg-3307	342	10	the	the	DET
fuelectenerg-3307	342	11	given	give	VERB
fuelectenerg-3307	342	12	lattice	lattice	NOUN
fuelectenerg-3307	342	13	,	,	PUNCT
fuelectenerg-3307	342	14	and	and	CCONJ
fuelectenerg-3307	342	15	(	(	PUNCT
fuelectenerg-3307	342	16	b	b	NOUN
fuelectenerg-3307	342	17	)	)	PUNCT
fuelectenerg-3307	342	18	chosen	choose	VERB
fuelectenerg-3307	342	19	function	function	NOUN
fuelectenerg-3307	342	20	of	of	ADP
fuelectenerg-3307	342	21	both	both	DET
fuelectenerg-3307	342	22	bi	bi	NOUN
fuelectenerg-3307	342	23	-	-	NOUN
fuelectenerg-3307	342	24	decompositions	decomposition	NOUN
fuelectenerg-3307	342	25	.	.	PUNCT
fuelectenerg-3307	343	1	figure	figure	NOUN
fuelectenerg-3307	343	2	1	1	NUM
fuelectenerg-3307	343	3	(	(	PUNCT
fuelectenerg-3307	343	4	a	a	NOUN
fuelectenerg-3307	343	5	)	)	PUNCT
fuelectenerg-3307	343	6	shows	show	VERB
fuelectenerg-3307	343	7	the	the	DET
fuelectenerg-3307	343	8	karnaugh	karnaugh	NOUN
fuelectenerg-3307	343	9	-	-	PUNCT
fuelectenerg-3307	343	10	map	map	NOUN
fuelectenerg-3307	343	11	of	of	ADP
fuelectenerg-3307	343	12	a	a	DET
fuelectenerg-3307	343	13	lattice	lattice	NOUN
fuelectenerg-3307	343	14	of	of	ADP
fuelectenerg-3307	343	15	eight	eight	NUM
fuelectenerg-3307	343	16	boolean	boolean	ADJ
fuelectenerg-3307	343	17	functions	function	NOUN
fuelectenerg-3307	343	18	.	.	PUNCT
fuelectenerg-3307	344	1	the	the	DET
fuelectenerg-3307	344	2	simplest	simple	ADJ
fuelectenerg-3307	344	3	multi	multi	ADJ
fuelectenerg-3307	344	4	-	-	ADJ
fuelectenerg-3307	344	5	level	level	ADJ
fuelectenerg-3307	344	6	circuit	circuit	NOUN
fuelectenerg-3307	344	7	structure	structure	NOUN
fuelectenerg-3307	344	8	for	for	ADP
fuelectenerg-3307	344	9	one	one	NUM
fuelectenerg-3307	344	10	of	of	ADP
fuelectenerg-3307	344	11	these	these	DET
fuelectenerg-3307	344	12	functions	function	NOUN
fuelectenerg-3307	344	13	must	must	AUX
fuelectenerg-3307	344	14	be	be	AUX
fuelectenerg-3307	344	15	found	find	VERB
fuelectenerg-3307	344	16	using	use	VERB
fuelectenerg-3307	344	17	and-	and-	X
fuelectenerg-3307	344	18	,	,	PUNCT
fuelectenerg-3307	344	19	or-	or-	NUM
fuelectenerg-3307	344	20	,	,	PUNCT
fuelectenerg-3307	344	21	and	and	CCONJ
fuelectenerg-3307	344	22	xor	xor	PROPN
fuelectenerg-3307	344	23	-	-	PUNCT
fuelectenerg-3307	344	24	gates	gate	NOUN
fuelectenerg-3307	344	25	of	of	ADP
fuelectenerg-3307	344	26	two	two	NUM
fuelectenerg-3307	344	27	inputs	input	NOUN
fuelectenerg-3307	344	28	where	where	SCONJ
fuelectenerg-3307	344	29	these	these	DET
fuelectenerg-3307	344	30	inputs	input	VERB
fuelectenerg-3307	344	31	arbitrary	arbitrary	ADJ
fuelectenerg-3307	344	32	can	can	AUX
fuelectenerg-3307	344	33	232	232	NUM
fuelectenerg-3307	344	34	b.	b.	PROPN
fuelectenerg-3307	344	35	steinbach	steinbach	PROPN
fuelectenerg-3307	344	36	,	,	PUNCT
fuelectenerg-3307	344	37	c.	c.	PROPN
fuelectenerg-3307	344	38	posthoff	posthoff	PROPN
fuelectenerg-3307	344	39	compact	compact	ADJ
fuelectenerg-3307	344	40	xor	xor	PROPN
fuelectenerg-3307	344	41	-	-	PUNCT
fuelectenerg-3307	344	42	bi	bi	NOUN
fuelectenerg-3307	344	43	-	-	NOUN
fuelectenerg-3307	344	44	decomposition	decomposition	NOUN
fuelectenerg-3307	344	45	for	for	ADP
fuelectenerg-3307	344	46	lattices	lattice	NOUN
fuelectenerg-3307	344	47	of	of	ADP
fuelectenerg-3307	344	48	boolean	boolean	ADJ
fuelectenerg-3307	344	49	functions	function	NOUN
fuelectenerg-3307	344	50	233	233	NUM
fuelectenerg-3307	344	51	12	12	NUM
fuelectenerg-3307	344	52	b.	b.	NOUN
fuelectenerg-3307	344	53	steinbach	steinbach	PROPN
fuelectenerg-3307	344	54	and	and	CCONJ
fuelectenerg-3307	344	55	c.	c.	PROPN
fuelectenerg-3307	344	56	posthoff	posthoff	PROPN
fuelectenerg-3307	344	57	:	:	PUNCT
fuelectenerg-3307	344	58	be	be	AUX
fuelectenerg-3307	344	59	negated	negate	VERB
fuelectenerg-3307	344	60	.	.	PUNCT
fuelectenerg-3307	345	1	the	the	DET
fuelectenerg-3307	345	2	gates	gate	NOUN
fuelectenerg-3307	345	3	can	can	AUX
fuelectenerg-3307	345	4	be	be	AUX
fuelectenerg-3307	345	5	reused	reuse	VERB
fuelectenerg-3307	345	6	to	to	PART
fuelectenerg-3307	345	7	simplify	simplify	VERB
fuelectenerg-3307	345	8	the	the	DET
fuelectenerg-3307	345	9	circuit	circuit	NOUN
fuelectenerg-3307	345	10	.	.	PUNCT
fuelectenerg-3307	346	1	as	as	SCONJ
fuelectenerg-3307	346	2	basis	basis	NOUN
fuelectenerg-3307	346	3	for	for	ADP
fuelectenerg-3307	346	4	comparison	comparison	NOUN
fuelectenerg-3307	346	5	serves	serve	VERB
fuelectenerg-3307	346	6	a	a	DET
fuelectenerg-3307	346	7	minimal	minimal	ADJ
fuelectenerg-3307	346	8	disjunctive	disjunctive	ADJ
fuelectenerg-3307	346	9	form	form	NOUN
fuelectenerg-3307	346	10	,	,	PUNCT
fuelectenerg-3307	346	11	calculated	calculate	VERB
fuelectenerg-3307	346	12	by	by	ADP
fuelectenerg-3307	346	13	means	mean	NOUN
fuelectenerg-3307	346	14	of	of	ADP
fuelectenerg-3307	346	15	the	the	DET
fuelectenerg-3307	346	16	well	well	ADV
fuelectenerg-3307	346	17	known	know	VERB
fuelectenerg-3307	346	18	quine	quine	PROPN
fuelectenerg-3307	346	19	mccluskey	mccluskey	PROPN
fuelectenerg-3307	346	20	algorithm	algorithm	PROPN
fuelectenerg-3307	346	21	.	.	PUNCT
fuelectenerg-3307	347	1	the	the	DET
fuelectenerg-3307	347	2	synthesis	synthesis	NOUN
fuelectenerg-3307	347	3	of	of	ADP
fuelectenerg-3307	347	4	the	the	DET
fuelectenerg-3307	347	5	given	give	VERB
fuelectenerg-3307	347	6	lattice	lattice	NOUN
fuelectenerg-3307	347	7	of	of	ADP
fuelectenerg-3307	347	8	functions	function	NOUN
fuelectenerg-3307	347	9	by	by	ADP
fuelectenerg-3307	347	10	bi	bi	NOUN
fuelectenerg-3307	347	11	-	-	NOUN
fuelectenerg-3307	347	12	decompositions	decomposition	NOUN
fuelectenerg-3307	347	13	has	have	AUX
fuelectenerg-3307	347	14	been	be	AUX
fuelectenerg-3307	347	15	realized	realize	VERB
fuelectenerg-3307	347	16	using	use	VERB
fuelectenerg-3307	347	17	both	both	CCONJ
fuelectenerg-3307	347	18	the	the	DET
fuelectenerg-3307	347	19	know	know	ADJ
fuelectenerg-3307	347	20	non	non	ADJ
fuelectenerg-3307	347	21	-	-	ADJ
fuelectenerg-3307	347	22	compact	compact	ADJ
fuelectenerg-3307	347	23	xor	xor	NOUN
fuelectenerg-3307	347	24	-	-	PUNCT
fuelectenerg-3307	347	25	bidecomposition	bidecomposition	NOUN
fuelectenerg-3307	347	26	and	and	CCONJ
fuelectenerg-3307	347	27	the	the	DET
fuelectenerg-3307	347	28	new	new	ADJ
fuelectenerg-3307	347	29	compact	compact	ADJ
fuelectenerg-3307	347	30	xor	xor	PROPN
fuelectenerg-3307	347	31	-	-	PUNCT
fuelectenerg-3307	347	32	bi	bi	NOUN
fuelectenerg-3307	347	33	-	-	NOUN
fuelectenerg-3307	347	34	decomposition	decomposition	NOUN
fuelectenerg-3307	347	35	.	.	PUNCT
fuelectenerg-3307	348	1	using	use	VERB
fuelectenerg-3307	348	2	conditions	condition	NOUN
fuelectenerg-3307	348	3	given	give	VERB
fuelectenerg-3307	348	4	in	in	ADP
fuelectenerg-3307	348	5	[	[	X
fuelectenerg-3307	348	6	3	3	NUM
fuelectenerg-3307	348	7	,	,	PUNCT
fuelectenerg-3307	348	8	4	4	NUM
fuelectenerg-3307	348	9	,	,	PUNCT
fuelectenerg-3307	348	10	11	11	NUM
fuelectenerg-3307	348	11	]	]	PUNCT
fuelectenerg-3307	348	12	it	it	PRON
fuelectenerg-3307	348	13	can	can	AUX
fuelectenerg-3307	348	14	be	be	AUX
fuelectenerg-3307	348	15	verified	verify	VERB
fuelectenerg-3307	348	16	that	that	SCONJ
fuelectenerg-3307	348	17	this	this	DET
fuelectenerg-3307	348	18	lattice	lattice	NOUN
fuelectenerg-3307	348	19	does	do	AUX
fuelectenerg-3307	348	20	not	not	PART
fuelectenerg-3307	348	21	contain	contain	VERB
fuelectenerg-3307	348	22	any	any	DET
fuelectenerg-3307	348	23	function	function	NOUN
fuelectenerg-3307	348	24	which	which	PRON
fuelectenerg-3307	348	25	has	have	VERB
fuelectenerg-3307	348	26	a	a	DET
fuelectenerg-3307	348	27	strong	strong	ADJ
fuelectenerg-3307	348	28	bi	bi	NOUN
fuelectenerg-3307	348	29	-	-	NOUN
fuelectenerg-3307	348	30	decomposition	decomposition	NOUN
fuelectenerg-3307	348	31	with	with	ADP
fuelectenerg-3307	348	32	regard	regard	NOUN
fuelectenerg-3307	348	33	to	to	ADP
fuelectenerg-3307	348	34	any	any	DET
fuelectenerg-3307	348	35	dedicated	dedicated	ADJ
fuelectenerg-3307	348	36	sets	set	NOUN
fuelectenerg-3307	348	37	of	of	ADP
fuelectenerg-3307	348	38	variables	variable	NOUN
fuelectenerg-3307	348	39	xa	xa	PROPN
fuelectenerg-3307	348	40	and	and	CCONJ
fuelectenerg-3307	348	41	xb	xb	PROPN
fuelectenerg-3307	348	42	for	for	ADP
fuelectenerg-3307	348	43	an	an	DET
fuelectenerg-3307	348	44	andor	andor	NOUN
fuelectenerg-3307	348	45	an	an	DET
fuelectenerg-3307	348	46	or	or	CCONJ
fuelectenerg-3307	348	47	-	-	PUNCT
fuelectenerg-3307	348	48	gate	gate	NOUN
fuelectenerg-3307	348	49	.	.	PUNCT
fuelectenerg-3307	349	1	figure	figure	NOUN
fuelectenerg-3307	349	2	1	1	NUM
fuelectenerg-3307	349	3	(	(	PUNCT
fuelectenerg-3307	349	4	b	b	NOUN
fuelectenerg-3307	349	5	)	)	PUNCT
fuelectenerg-3307	349	6	shows	show	VERB
fuelectenerg-3307	349	7	the	the	DET
fuelectenerg-3307	349	8	function	function	NOUN
fuelectenerg-3307	349	9	chosen	choose	VERB
fuelectenerg-3307	349	10	by	by	ADP
fuelectenerg-3307	349	11	both	both	PRON
fuelectenerg-3307	349	12	the	the	DET
fuelectenerg-3307	349	13	known	know	VERB
fuelectenerg-3307	349	14	and	and	CCONJ
fuelectenerg-3307	349	15	the	the	DET
fuelectenerg-3307	349	16	new	new	ADJ
fuelectenerg-3307	349	17	bi	bi	ADJ
fuelectenerg-3307	349	18	-	-	ADJ
fuelectenerg-3307	349	19	decomposition	decomposition	NOUN
fuelectenerg-3307	349	20	approach	approach	NOUN
fuelectenerg-3307	349	21	.	.	PUNCT
fuelectenerg-3307	350	1	two	two	NUM
fuelectenerg-3307	350	2	don’t	don’t	NUM
fuelectenerg-3307	350	3	-	-	PUNCT
fuelectenerg-3307	350	4	cares	care	NOUN
fuelectenerg-3307	350	5	are	be	AUX
fuelectenerg-3307	350	6	assigned	assign	VERB
fuelectenerg-3307	350	7	to	to	ADP
fuelectenerg-3307	350	8	0	0	NUM
fuelectenerg-3307	350	9	and	and	CCONJ
fuelectenerg-3307	350	10	the	the	DET
fuelectenerg-3307	350	11	other	other	ADJ
fuelectenerg-3307	350	12	to	to	ADP
fuelectenerg-3307	350	13	1	1	NUM
fuelectenerg-3307	350	14	.	.	PUNCT
fuelectenerg-3307	351	1	the	the	DET
fuelectenerg-3307	351	2	simplest	simple	ADJ
fuelectenerg-3307	351	3	minimal	minimal	ADJ
fuelectenerg-3307	351	4	disjunctive	disjunctive	ADJ
fuelectenerg-3307	351	5	form	form	NOUN
fuelectenerg-3307	351	6	realizes	realize	VERB
fuelectenerg-3307	351	7	the	the	DET
fuelectenerg-3307	351	8	function	function	NOUN
fuelectenerg-3307	351	9	fq(x	fq(x	NOUN
fuelectenerg-3307	351	10	)	)	PUNCT
fuelectenerg-3307	351	11	of	of	ADP
fuelectenerg-3307	351	12	the	the	DET
fuelectenerg-3307	351	13	lattice	lattice	NOUN
fuelectenerg-3307	351	14	where	where	SCONJ
fuelectenerg-3307	351	15	all	all	DET
fuelectenerg-3307	351	16	don’t	don’t	NUM
fuelectenerg-3307	351	17	-	-	PUNCT
fuelectenerg-3307	351	18	cares	care	NOUN
fuelectenerg-3307	351	19	are	be	AUX
fuelectenerg-3307	351	20	assigned	assign	VERB
fuelectenerg-3307	351	21	to	to	ADP
fuelectenerg-3307	351	22	0	0	NUM
fuelectenerg-3307	351	23	.	.	PUNCT
fuelectenerg-3307	351	24	5.2	5.2	NUM
fuelectenerg-3307	351	25	synthesis	synthesis	NOUN
fuelectenerg-3307	351	26	by	by	ADP
fuelectenerg-3307	351	27	covering	cover	VERB
fuelectenerg-3307	351	28	using	use	VERB
fuelectenerg-3307	351	29	a	a	DET
fuelectenerg-3307	351	30	minimal	minimal	ADJ
fuelectenerg-3307	351	31	disjunctive	disjunctive	ADJ
fuelectenerg-3307	351	32	form	form	NOUN
fuelectenerg-3307	351	33	the	the	DET
fuelectenerg-3307	351	34	execution	execution	NOUN
fuelectenerg-3307	351	35	of	of	ADP
fuelectenerg-3307	351	36	the	the	DET
fuelectenerg-3307	351	37	quine	quine	PROPN
fuelectenerg-3307	351	38	mccluskey	mccluskey	PROPN
fuelectenerg-3307	351	39	algorithm	algorithm	PROPN
fuelectenerg-3307	351	40	results	result	VERB
fuelectenerg-3307	351	41	in	in	ADP
fuelectenerg-3307	351	42	two	two	NUM
fuelectenerg-3307	351	43	minimal	minimal	ADJ
fuelectenerg-3307	351	44	disjunctive	disjunctive	ADJ
fuelectenerg-3307	351	45	forms	form	NOUN
fuelectenerg-3307	351	46	of	of	ADP
fuelectenerg-3307	351	47	the	the	DET
fuelectenerg-3307	351	48	same	same	ADJ
fuelectenerg-3307	351	49	complexity	complexity	NOUN
fuelectenerg-3307	351	50	.	.	PUNCT
fuelectenerg-3307	352	1	both	both	PRON
fuelectenerg-3307	352	2	of	of	ADP
fuelectenerg-3307	352	3	them	they	PRON
fuelectenerg-3307	352	4	realize	realize	VERB
fuelectenerg-3307	352	5	the	the	DET
fuelectenerg-3307	352	6	on	on	ADP
fuelectenerg-3307	352	7	-	-	PUNCT
fuelectenerg-3307	352	8	set	set	VERB
fuelectenerg-3307	352	9	function	function	NOUN
fuelectenerg-3307	352	10	fq(x	fq(x	PUNCT
fuelectenerg-3307	352	11	)	)	PUNCT
fuelectenerg-3307	352	12	and	and	CCONJ
fuelectenerg-3307	352	13	require	require	VERB
fuelectenerg-3307	352	14	the	the	DET
fuelectenerg-3307	352	15	same	same	ADJ
fuelectenerg-3307	352	16	number	number	NOUN
fuelectenerg-3307	352	17	of	of	ADP
fuelectenerg-3307	352	18	gates	gate	NOUN
fuelectenerg-3307	352	19	and	and	CCONJ
fuelectenerg-3307	352	20	levels	level	NOUN
fuelectenerg-3307	352	21	in	in	ADP
fuelectenerg-3307	352	22	a	a	DET
fuelectenerg-3307	352	23	circuit	circuit	NOUN
fuelectenerg-3307	352	24	.	.	PUNCT
fuelectenerg-3307	353	1	the	the	DET
fuelectenerg-3307	353	2	chosen	choose	VERB
fuelectenerg-3307	353	3	minimal	minimal	ADJ
fuelectenerg-3307	353	4	disjunctive	disjunctive	ADJ
fuelectenerg-3307	353	5	form	form	NOUN
fuelectenerg-3307	353	6	is	be	AUX
fuelectenerg-3307	353	7	:	:	PUNCT
fuelectenerg-3307	353	8	fq(x	fq(x	NOUN
fuelectenerg-3307	353	9	)	)	PUNCT
fuelectenerg-3307	353	10	=	=	SYM
fuelectenerg-3307	354	1	(	(	PUNCT
fuelectenerg-3307	354	2	x1x2)x3	x1x2)x3	PROPN
fuelectenerg-3307	354	3	∨	∨	X
fuelectenerg-3307	354	4	(	(	PUNCT
fuelectenerg-3307	354	5	x1x2)(x4x5)∨	x1x2)(x4x5)∨	X
fuelectenerg-3307	354	6	(	(	PUNCT
fuelectenerg-3307	354	7	x1x2)(x4x5)∨	x1x2)(x4x5)∨	X
fuelectenerg-3307	354	8	(	(	PUNCT
fuelectenerg-3307	354	9	x2x3)(x4x5)∨	x2x3)(x4x5)∨	NUM
fuelectenerg-3307	354	10	(	(	PUNCT
fuelectenerg-3307	354	11	x1x2)(x3x4)∨	x1x2)(x3x4)∨	X
fuelectenerg-3307	354	12	(	(	PUNCT
fuelectenerg-3307	354	13	x1x3)(x4x5)∨	x1x3)(x4x5)∨	X
fuelectenerg-3307	354	14	(	(	PUNCT
fuelectenerg-3307	354	15	x1(x2x3))(x4x5)∨	x1(x2x3))(x4x5)∨	PROPN
fuelectenerg-3307	354	16	(	(	PUNCT
fuelectenerg-3307	354	17	x2(x1x3))(x4x5	x2(x1x3))(x4x5	PROPN
fuelectenerg-3307	354	18	)	)	PUNCT
fuelectenerg-3307	354	19	.	.	PUNCT
fuelectenerg-3307	355	1	(	(	PUNCT
fuelectenerg-3307	355	2	23	23	NUM
fuelectenerg-3307	355	3	)	)	PUNCT
fuelectenerg-3307	355	4	the	the	DET
fuelectenerg-3307	355	5	parentheses	parenthesis	NOUN
fuelectenerg-3307	355	6	in	in	ADP
fuelectenerg-3307	355	7	the	the	DET
fuelectenerg-3307	355	8	conjunctions	conjunction	NOUN
fuelectenerg-3307	355	9	in	in	ADP
fuelectenerg-3307	355	10	(	(	PUNCT
fuelectenerg-3307	355	11	23	23	NUM
fuelectenerg-3307	355	12	)	)	PUNCT
fuelectenerg-3307	355	13	emphasize	emphasize	VERB
fuelectenerg-3307	355	14	the	the	DET
fuelectenerg-3307	355	15	chosen	choose	VERB
fuelectenerg-3307	355	16	two	two	NUM
fuelectenerg-3307	355	17	-	-	PUNCT
fuelectenerg-3307	355	18	input	input	NOUN
fuelectenerg-3307	355	19	andgates	andgate	NOUN
fuelectenerg-3307	355	20	.	.	PUNCT
fuelectenerg-3307	356	1	figure	figure	NOUN
fuelectenerg-3307	356	2	2	2	NUM
fuelectenerg-3307	356	3	shows	show	VERB
fuelectenerg-3307	356	4	the	the	DET
fuelectenerg-3307	356	5	associated	associated	ADJ
fuelectenerg-3307	356	6	circuit	circuit	NOUN
fuelectenerg-3307	356	7	structure	structure	NOUN
fuelectenerg-3307	356	8	in	in	ADP
fuelectenerg-3307	356	9	which	which	PRON
fuelectenerg-3307	356	10	as	as	ADV
fuelectenerg-3307	356	11	much	much	ADV
fuelectenerg-3307	356	12	as	as	ADP
fuelectenerg-3307	356	13	possible	possible	ADJ
fuelectenerg-3307	356	14	and	and	CCONJ
fuelectenerg-3307	356	15	-	-	PUNCT
fuelectenerg-3307	356	16	gates	gate	NOUN
fuelectenerg-3307	356	17	are	be	AUX
fuelectenerg-3307	356	18	reused	reuse	VERB
fuelectenerg-3307	356	19	.	.	PUNCT
fuelectenerg-3307	357	1	the	the	DET
fuelectenerg-3307	357	2	disjunction	disjunction	NOUN
fuelectenerg-3307	357	3	of	of	ADP
fuelectenerg-3307	357	4	eight	eight	NUM
fuelectenerg-3307	357	5	conjunctions	conjunction	NOUN
fuelectenerg-3307	357	6	is	be	AUX
fuelectenerg-3307	357	7	realized	realize	VERB
fuelectenerg-3307	357	8	by	by	ADP
fuelectenerg-3307	357	9	a	a	DET
fuelectenerg-3307	357	10	tree	tree	NOUN
fuelectenerg-3307	357	11	of	of	ADP
fuelectenerg-3307	357	12	seven	seven	NUM
fuelectenerg-3307	357	13	or	or	CCONJ
fuelectenerg-3307	357	14	-	-	PUNCT
fuelectenerg-3307	357	15	gates	gate	NOUN
fuelectenerg-3307	357	16	.	.	PUNCT
fuelectenerg-3307	358	1	seven	seven	NUM
fuelectenerg-3307	358	2	and	and	CCONJ
fuelectenerg-3307	358	3	-	-	PUNCT
fuelectenerg-3307	358	4	gates	gate	NOUN
fuelectenerg-3307	358	5	could	could	AUX
fuelectenerg-3307	358	6	be	be	AUX
fuelectenerg-3307	358	7	reused	reuse	VERB
fuelectenerg-3307	358	8	to	to	PART
fuelectenerg-3307	358	9	build	build	VERB
fuelectenerg-3307	358	10	another	another	DET
fuelectenerg-3307	358	11	conjunction	conjunction	NOUN
fuelectenerg-3307	358	12	.	.	PUNCT
fuelectenerg-3307	359	1	in	in	ADP
fuelectenerg-3307	359	2	total	total	NOUN
fuelectenerg-3307	359	3	there	there	PRON
fuelectenerg-3307	359	4	are	be	VERB
fuelectenerg-3307	359	5	18	18	NUM
fuelectenerg-3307	359	6	and	and	CCONJ
fuelectenerg-3307	359	7	-	-	PUNCT
fuelectenerg-3307	359	8	gates	gate	NOUN
fuelectenerg-3307	359	9	.	.	PUNCT
fuelectenerg-3307	360	1	the	the	DET
fuelectenerg-3307	360	2	complete	complete	ADJ
fuelectenerg-3307	360	3	circuit	circuit	NOUN
fuelectenerg-3307	360	4	consists	consist	VERB
fuelectenerg-3307	360	5	of	of	ADP
fuelectenerg-3307	360	6	25	25	NUM
fuelectenerg-3307	360	7	two	two	NUM
fuelectenerg-3307	360	8	-	-	PUNCT
fuelectenerg-3307	360	9	input	input	NOUN
fuelectenerg-3307	360	10	gates	gate	NOUN
fuelectenerg-3307	360	11	on	on	ADP
fuelectenerg-3307	360	12	six	six	NUM
fuelectenerg-3307	360	13	levels	level	NOUN
fuelectenerg-3307	360	14	.	.	PUNCT
fuelectenerg-3307	361	1	5.3	5.3	NUM
fuelectenerg-3307	361	2	synthesis	synthesis	NOUN
fuelectenerg-3307	361	3	using	use	VERB
fuelectenerg-3307	361	4	the	the	DET
fuelectenerg-3307	361	5	known	know	VERB
fuelectenerg-3307	361	6	non	non	ADJ
fuelectenerg-3307	361	7	-	-	ADJ
fuelectenerg-3307	361	8	compact	compact	ADJ
fuelectenerg-3307	361	9	xor	xor	PROPN
fuelectenerg-3307	361	10	-	-	PUNCT
fuelectenerg-3307	361	11	bi	bi	ADJ
fuelectenerg-3307	361	12	-	-	NOUN
fuelectenerg-3307	361	13	decomposition	decomposition	NOUN
fuelectenerg-3307	361	14	using	use	VERB
fuelectenerg-3307	361	15	condition	condition	NOUN
fuelectenerg-3307	361	16	(	(	PUNCT
fuelectenerg-3307	361	17	3	3	X
fuelectenerg-3307	361	18	)	)	PUNCT
fuelectenerg-3307	361	19	it	it	PRON
fuelectenerg-3307	361	20	was	be	AUX
fuelectenerg-3307	361	21	found	find	VERB
fuelectenerg-3307	361	22	that	that	SCONJ
fuelectenerg-3307	361	23	the	the	DET
fuelectenerg-3307	361	24	lattice	lattice	NOUN
fuelectenerg-3307	361	25	of	of	ADP
fuelectenerg-3307	361	26	figure	figure	NOUN
fuelectenerg-3307	361	27	1	1	NUM
fuelectenerg-3307	361	28	(	(	PUNCT
fuelectenerg-3307	361	29	a	a	PRON
fuelectenerg-3307	361	30	)	)	PUNCT
fuelectenerg-3307	361	31	contains	contain	VERB
fuelectenerg-3307	361	32	at	at	ADV
fuelectenerg-3307	361	33	least	least	ADV
fuelectenerg-3307	361	34	one	one	NUM
fuelectenerg-3307	361	35	function	function	NOUN
fuelectenerg-3307	361	36	that	that	PRON
fuelectenerg-3307	361	37	is	be	AUX
fuelectenerg-3307	361	38	xor	xor	PROPN
fuelectenerg-3307	361	39	-	-	PUNCT
fuelectenerg-3307	361	40	bi	bi	NOUN
fuelectenerg-3307	361	41	-	-	ADJ
fuelectenerg-3307	361	42	decomposable	decomposable	ADJ
fuelectenerg-3307	361	43	with	with	ADP
fuelectenerg-3307	361	44	regard	regard	NOUN
fuelectenerg-3307	361	45	to	to	ADP
fuelectenerg-3307	361	46	the	the	DET
fuelectenerg-3307	361	47	single	single	ADJ
fuelectenerg-3307	361	48	variable	variable	NOUN
fuelectenerg-3307	361	49	xa	xa	PROPN
fuelectenerg-3307	362	1	=	=	SYM
fuelectenerg-3307	362	2	x1	x1	PROPN
fuelectenerg-3307	362	3	and	and	CCONJ
fuelectenerg-3307	362	4	the	the	DET
fuelectenerg-3307	362	5	dedicated	dedicated	ADJ
fuelectenerg-3307	362	6	set	set	VERB
fuelectenerg-3307	362	7	xb	xb	X
fuelectenerg-3307	363	1	=	=	SYM
fuelectenerg-3307	363	2	(	(	PUNCT
fuelectenerg-3307	363	3	x3,x5	x3,x5	PROPN
fuelectenerg-3307	363	4	)	)	PUNCT
fuelectenerg-3307	363	5	.	.	PUNCT
fuelectenerg-3307	364	1	hence	hence	ADV
fuelectenerg-3307	364	2	,	,	PUNCT
fuelectenerg-3307	364	3	the	the	DET
fuelectenerg-3307	364	4	set	set	NOUN
fuelectenerg-3307	364	5	of	of	ADP
fuelectenerg-3307	364	6	commonly	commonly	ADV
fuelectenerg-3307	364	7	used	use	VERB
fuelectenerg-3307	364	8	variables	variable	NOUN
fuelectenerg-3307	364	9	xc	xc	PUNCT
fuelectenerg-3307	365	1	=	=	SYM
fuelectenerg-3307	365	2	(	(	PUNCT
fuelectenerg-3307	365	3	x2,x4	x2,x4	PROPN
fuelectenerg-3307	365	4	)	)	PUNCT
fuelectenerg-3307	365	5	.	.	PUNCT
fuelectenerg-3307	366	1	the	the	DET
fuelectenerg-3307	366	2	decomposition	decomposition	NOUN
fuelectenerg-3307	366	3	function	function	NOUN
fuelectenerg-3307	366	4	g(xa	g(xa	PROPN
fuelectenerg-3307	366	5	,	,	PUNCT
fuelectenerg-3307	366	6	xc	xc	PROPN
fuelectenerg-3307	366	7	)	)	PUNCT
fuelectenerg-3307	366	8	of	of	ADP
fuelectenerg-3307	366	9	an	an	PRON
fuelectenerg-3307	366	10	xor	xor	PROPN
fuelectenerg-3307	366	11	-	-	PUNCT
fuelectenerg-3307	366	12	bi	bi	NOUN
fuelectenerg-3307	366	13	-	-	NOUN
fuelectenerg-3307	366	14	decomposition	decomposition	NOUN
fuelectenerg-3307	366	15	is	be	AUX
fuelectenerg-3307	366	16	uniquely	uniquely	ADV
fuelectenerg-3307	366	17	specified	specify	VERB
fuelectenerg-3307	366	18	by	by	ADP
fuelectenerg-3307	366	19	(	(	PUNCT
fuelectenerg-3307	366	20	4	4	NUM
fuelectenerg-3307	366	21	)	)	PUNCT
fuelectenerg-3307	366	22	,	,	PUNCT
fuelectenerg-3307	366	23	and	and	CCONJ
fuelectenerg-3307	366	24	we	we	PRON
fuelectenerg-3307	366	25	get	get	VERB
fuelectenerg-3307	366	26	g1(x1,x2,x4	g1(x1,x2,x4	NOUN
fuelectenerg-3307	366	27	)	)	PUNCT
fuelectenerg-3307	367	1	=	=	SYM
fuelectenerg-3307	367	2	x1	x1	NUM
fuelectenerg-3307	367	3	∧	∧	PROPN
fuelectenerg-3307	367	4	(	(	PUNCT
fuelectenerg-3307	367	5	x2	x2	PROPN
fuelectenerg-3307	367	6	∧	∧	PROPN
fuelectenerg-3307	367	7	x4	x4	PROPN
fuelectenerg-3307	367	8	)	)	PUNCT
fuelectenerg-3307	367	9	.	.	PUNCT
fuelectenerg-3307	368	1	(	(	PUNCT
fuelectenerg-3307	368	2	24	24	NUM
fuelectenerg-3307	368	3	)	)	PUNCT
fuelectenerg-3307	368	4	it	it	PRON
fuelectenerg-3307	368	5	can	can	AUX
fuelectenerg-3307	368	6	directly	directly	ADV
fuelectenerg-3307	368	7	be	be	AUX
fuelectenerg-3307	368	8	seen	see	VERB
fuelectenerg-3307	368	9	that	that	SCONJ
fuelectenerg-3307	368	10	there	there	PRON
fuelectenerg-3307	368	11	is	be	VERB
fuelectenerg-3307	368	12	a	a	DET
fuelectenerg-3307	368	13	strong	strong	ADJ
fuelectenerg-3307	368	14	and	and	CCONJ
fuelectenerg-3307	368	15	-	-	PUNCT
fuelectenerg-3307	368	16	bi	bi	NOUN
fuelectenerg-3307	368	17	-	-	NOUN
fuelectenerg-3307	368	18	decomposition	decomposition	NOUN
fuelectenerg-3307	368	19	of	of	ADP
fuelectenerg-3307	368	20	g1(x1,x2,x4	g1(x1,x2,x4	NOUN
fuelectenerg-3307	368	21	)	)	PUNCT
fuelectenerg-3307	368	22	into	into	ADP
fuelectenerg-3307	368	23	g2	g2	PROPN
fuelectenerg-3307	368	24	=	=	PUNCT
fuelectenerg-3307	368	25	x1	x1	PROPN
fuelectenerg-3307	368	26	and	and	CCONJ
fuelectenerg-3307	368	27	h2	h2	NOUN
fuelectenerg-3307	368	28	=	=	SYM
fuelectenerg-3307	368	29	(	(	PUNCT
fuelectenerg-3307	368	30	x2	x2	PROPN
fuelectenerg-3307	368	31	∧	∧	PROPN
fuelectenerg-3307	368	32	x4	x4	PROPN
fuelectenerg-3307	368	33	)	)	PUNCT
fuelectenerg-3307	368	34	.	.	PUNCT
fuelectenerg-3307	369	1	no	no	DET
fuelectenerg-3307	369	2	further	further	ADJ
fuelectenerg-3307	369	3	decomposition	decomposition	NOUN
fuelectenerg-3307	369	4	is	be	AUX
fuelectenerg-3307	369	5	needed	need	VERB
fuelectenerg-3307	369	6	for	for	ADP
fuelectenerg-3307	369	7	these	these	DET
fuelectenerg-3307	369	8	functions	function	NOUN
fuelectenerg-3307	369	9	.	.	PUNCT
fuelectenerg-3307	370	1	234	234	NUM
fuelectenerg-3307	370	2	b.	b.	PROPN
fuelectenerg-3307	370	3	steinbach	steinbach	PROPN
fuelectenerg-3307	370	4	,	,	PUNCT
fuelectenerg-3307	370	5	c.	c.	PROPN
fuelectenerg-3307	370	6	posthoff	posthoff	PROPN
fuelectenerg-3307	370	7	compact	compact	ADJ
fuelectenerg-3307	370	8	xor	xor	PROPN
fuelectenerg-3307	370	9	-	-	PUNCT
fuelectenerg-3307	370	10	bi	bi	NOUN
fuelectenerg-3307	370	11	-	-	NOUN
fuelectenerg-3307	370	12	decomposition	decomposition	NOUN
fuelectenerg-3307	370	13	for	for	ADP
fuelectenerg-3307	370	14	lattices	lattice	NOUN
fuelectenerg-3307	370	15	of	of	ADP
fuelectenerg-3307	370	16	boolean	boolean	ADJ
fuelectenerg-3307	370	17	functions	function	NOUN
fuelectenerg-3307	370	18	235	235	NUM
fuelectenerg-3307	370	19	12	12	NUM
fuelectenerg-3307	370	20	b.	b.	NOUN
fuelectenerg-3307	370	21	steinbach	steinbach	PROPN
fuelectenerg-3307	370	22	and	and	CCONJ
fuelectenerg-3307	370	23	c.	c.	PROPN
fuelectenerg-3307	370	24	posthoff	posthoff	PROPN
fuelectenerg-3307	370	25	:	:	PUNCT
fuelectenerg-3307	370	26	be	be	AUX
fuelectenerg-3307	370	27	negated	negate	VERB
fuelectenerg-3307	370	28	.	.	PUNCT
fuelectenerg-3307	371	1	the	the	DET
fuelectenerg-3307	371	2	gates	gate	NOUN
fuelectenerg-3307	371	3	can	can	AUX
fuelectenerg-3307	371	4	be	be	AUX
fuelectenerg-3307	371	5	reused	reuse	VERB
fuelectenerg-3307	371	6	to	to	PART
fuelectenerg-3307	371	7	simplify	simplify	VERB
fuelectenerg-3307	371	8	the	the	DET
fuelectenerg-3307	371	9	circuit	circuit	NOUN
fuelectenerg-3307	371	10	.	.	PUNCT
fuelectenerg-3307	372	1	as	as	SCONJ
fuelectenerg-3307	372	2	basis	basis	NOUN
fuelectenerg-3307	372	3	for	for	ADP
fuelectenerg-3307	372	4	comparison	comparison	NOUN
fuelectenerg-3307	372	5	serves	serve	VERB
fuelectenerg-3307	372	6	a	a	DET
fuelectenerg-3307	372	7	minimal	minimal	ADJ
fuelectenerg-3307	372	8	disjunctive	disjunctive	ADJ
fuelectenerg-3307	372	9	form	form	NOUN
fuelectenerg-3307	372	10	,	,	PUNCT
fuelectenerg-3307	372	11	calculated	calculate	VERB
fuelectenerg-3307	372	12	by	by	ADP
fuelectenerg-3307	372	13	means	mean	NOUN
fuelectenerg-3307	372	14	of	of	ADP
fuelectenerg-3307	372	15	the	the	DET
fuelectenerg-3307	372	16	well	well	ADV
fuelectenerg-3307	372	17	known	know	VERB
fuelectenerg-3307	372	18	quine	quine	PROPN
fuelectenerg-3307	372	19	mccluskey	mccluskey	PROPN
fuelectenerg-3307	372	20	algorithm	algorithm	PROPN
fuelectenerg-3307	372	21	.	.	PUNCT
fuelectenerg-3307	373	1	the	the	DET
fuelectenerg-3307	373	2	synthesis	synthesis	NOUN
fuelectenerg-3307	373	3	of	of	ADP
fuelectenerg-3307	373	4	the	the	DET
fuelectenerg-3307	373	5	given	give	VERB
fuelectenerg-3307	373	6	lattice	lattice	NOUN
fuelectenerg-3307	373	7	of	of	ADP
fuelectenerg-3307	373	8	functions	function	NOUN
fuelectenerg-3307	373	9	by	by	ADP
fuelectenerg-3307	373	10	bi	bi	NOUN
fuelectenerg-3307	373	11	-	-	NOUN
fuelectenerg-3307	373	12	decompositions	decomposition	NOUN
fuelectenerg-3307	373	13	has	have	AUX
fuelectenerg-3307	373	14	been	be	AUX
fuelectenerg-3307	373	15	realized	realize	VERB
fuelectenerg-3307	373	16	using	use	VERB
fuelectenerg-3307	373	17	both	both	CCONJ
fuelectenerg-3307	373	18	the	the	DET
fuelectenerg-3307	373	19	know	know	ADJ
fuelectenerg-3307	373	20	non	non	ADJ
fuelectenerg-3307	373	21	-	-	ADJ
fuelectenerg-3307	373	22	compact	compact	ADJ
fuelectenerg-3307	373	23	xor	xor	NOUN
fuelectenerg-3307	373	24	-	-	PUNCT
fuelectenerg-3307	373	25	bidecomposition	bidecomposition	NOUN
fuelectenerg-3307	373	26	and	and	CCONJ
fuelectenerg-3307	373	27	the	the	DET
fuelectenerg-3307	373	28	new	new	ADJ
fuelectenerg-3307	373	29	compact	compact	ADJ
fuelectenerg-3307	373	30	xor	xor	PROPN
fuelectenerg-3307	373	31	-	-	PUNCT
fuelectenerg-3307	373	32	bi	bi	NOUN
fuelectenerg-3307	373	33	-	-	NOUN
fuelectenerg-3307	373	34	decomposition	decomposition	NOUN
fuelectenerg-3307	373	35	.	.	PUNCT
fuelectenerg-3307	374	1	using	use	VERB
fuelectenerg-3307	374	2	conditions	condition	NOUN
fuelectenerg-3307	374	3	given	give	VERB
fuelectenerg-3307	374	4	in	in	ADP
fuelectenerg-3307	374	5	[	[	X
fuelectenerg-3307	374	6	3	3	NUM
fuelectenerg-3307	374	7	,	,	PUNCT
fuelectenerg-3307	374	8	4	4	NUM
fuelectenerg-3307	374	9	,	,	PUNCT
fuelectenerg-3307	374	10	11	11	NUM
fuelectenerg-3307	374	11	]	]	PUNCT
fuelectenerg-3307	374	12	it	it	PRON
fuelectenerg-3307	374	13	can	can	AUX
fuelectenerg-3307	374	14	be	be	AUX
fuelectenerg-3307	374	15	verified	verify	VERB
fuelectenerg-3307	374	16	that	that	SCONJ
fuelectenerg-3307	374	17	this	this	DET
fuelectenerg-3307	374	18	lattice	lattice	NOUN
fuelectenerg-3307	374	19	does	do	AUX
fuelectenerg-3307	374	20	not	not	PART
fuelectenerg-3307	374	21	contain	contain	VERB
fuelectenerg-3307	374	22	any	any	DET
fuelectenerg-3307	374	23	function	function	NOUN
fuelectenerg-3307	374	24	which	which	PRON
fuelectenerg-3307	374	25	has	have	VERB
fuelectenerg-3307	374	26	a	a	DET
fuelectenerg-3307	374	27	strong	strong	ADJ
fuelectenerg-3307	374	28	bi	bi	NOUN
fuelectenerg-3307	374	29	-	-	NOUN
fuelectenerg-3307	374	30	decomposition	decomposition	NOUN
fuelectenerg-3307	374	31	with	with	ADP
fuelectenerg-3307	374	32	regard	regard	NOUN
fuelectenerg-3307	374	33	to	to	ADP
fuelectenerg-3307	374	34	any	any	DET
fuelectenerg-3307	374	35	dedicated	dedicated	ADJ
fuelectenerg-3307	374	36	sets	set	NOUN
fuelectenerg-3307	374	37	of	of	ADP
fuelectenerg-3307	374	38	variables	variable	NOUN
fuelectenerg-3307	374	39	xa	xa	PROPN
fuelectenerg-3307	374	40	and	and	CCONJ
fuelectenerg-3307	374	41	xb	xb	PROPN
fuelectenerg-3307	374	42	for	for	ADP
fuelectenerg-3307	374	43	an	an	DET
fuelectenerg-3307	374	44	andor	andor	NOUN
fuelectenerg-3307	374	45	an	an	DET
fuelectenerg-3307	374	46	or	or	CCONJ
fuelectenerg-3307	374	47	-	-	PUNCT
fuelectenerg-3307	374	48	gate	gate	NOUN
fuelectenerg-3307	374	49	.	.	PUNCT
fuelectenerg-3307	375	1	figure	figure	NOUN
fuelectenerg-3307	375	2	1	1	NUM
fuelectenerg-3307	375	3	(	(	PUNCT
fuelectenerg-3307	375	4	b	b	NOUN
fuelectenerg-3307	375	5	)	)	PUNCT
fuelectenerg-3307	375	6	shows	show	VERB
fuelectenerg-3307	375	7	the	the	DET
fuelectenerg-3307	375	8	function	function	NOUN
fuelectenerg-3307	375	9	chosen	choose	VERB
fuelectenerg-3307	375	10	by	by	ADP
fuelectenerg-3307	375	11	both	both	PRON
fuelectenerg-3307	375	12	the	the	DET
fuelectenerg-3307	375	13	known	know	VERB
fuelectenerg-3307	375	14	and	and	CCONJ
fuelectenerg-3307	375	15	the	the	DET
fuelectenerg-3307	375	16	new	new	ADJ
fuelectenerg-3307	375	17	bi	bi	ADJ
fuelectenerg-3307	375	18	-	-	ADJ
fuelectenerg-3307	375	19	decomposition	decomposition	NOUN
fuelectenerg-3307	375	20	approach	approach	NOUN
fuelectenerg-3307	375	21	.	.	PUNCT
fuelectenerg-3307	376	1	two	two	NUM
fuelectenerg-3307	376	2	don’t	don’t	NUM
fuelectenerg-3307	376	3	-	-	PUNCT
fuelectenerg-3307	376	4	cares	care	NOUN
fuelectenerg-3307	376	5	are	be	AUX
fuelectenerg-3307	376	6	assigned	assign	VERB
fuelectenerg-3307	376	7	to	to	ADP
fuelectenerg-3307	376	8	0	0	NUM
fuelectenerg-3307	376	9	and	and	CCONJ
fuelectenerg-3307	376	10	the	the	DET
fuelectenerg-3307	376	11	other	other	ADJ
fuelectenerg-3307	376	12	to	to	ADP
fuelectenerg-3307	376	13	1	1	NUM
fuelectenerg-3307	376	14	.	.	PUNCT
fuelectenerg-3307	377	1	the	the	DET
fuelectenerg-3307	377	2	simplest	simple	ADJ
fuelectenerg-3307	377	3	minimal	minimal	ADJ
fuelectenerg-3307	377	4	disjunctive	disjunctive	ADJ
fuelectenerg-3307	377	5	form	form	NOUN
fuelectenerg-3307	377	6	realizes	realize	VERB
fuelectenerg-3307	377	7	the	the	DET
fuelectenerg-3307	377	8	function	function	NOUN
fuelectenerg-3307	377	9	fq(x	fq(x	NOUN
fuelectenerg-3307	377	10	)	)	PUNCT
fuelectenerg-3307	377	11	of	of	ADP
fuelectenerg-3307	377	12	the	the	DET
fuelectenerg-3307	377	13	lattice	lattice	NOUN
fuelectenerg-3307	377	14	where	where	SCONJ
fuelectenerg-3307	377	15	all	all	DET
fuelectenerg-3307	377	16	don’t	don’t	NUM
fuelectenerg-3307	377	17	-	-	PUNCT
fuelectenerg-3307	377	18	cares	care	NOUN
fuelectenerg-3307	377	19	are	be	AUX
fuelectenerg-3307	377	20	assigned	assign	VERB
fuelectenerg-3307	377	21	to	to	ADP
fuelectenerg-3307	377	22	0	0	NUM
fuelectenerg-3307	377	23	.	.	PUNCT
fuelectenerg-3307	377	24	5.2	5.2	NUM
fuelectenerg-3307	377	25	synthesis	synthesis	NOUN
fuelectenerg-3307	377	26	by	by	ADP
fuelectenerg-3307	377	27	covering	cover	VERB
fuelectenerg-3307	377	28	using	use	VERB
fuelectenerg-3307	377	29	a	a	DET
fuelectenerg-3307	377	30	minimal	minimal	ADJ
fuelectenerg-3307	377	31	disjunctive	disjunctive	ADJ
fuelectenerg-3307	377	32	form	form	NOUN
fuelectenerg-3307	377	33	the	the	DET
fuelectenerg-3307	377	34	execution	execution	NOUN
fuelectenerg-3307	377	35	of	of	ADP
fuelectenerg-3307	377	36	the	the	DET
fuelectenerg-3307	377	37	quine	quine	PROPN
fuelectenerg-3307	377	38	mccluskey	mccluskey	PROPN
fuelectenerg-3307	377	39	algorithm	algorithm	PROPN
fuelectenerg-3307	377	40	results	result	VERB
fuelectenerg-3307	377	41	in	in	ADP
fuelectenerg-3307	377	42	two	two	NUM
fuelectenerg-3307	377	43	minimal	minimal	ADJ
fuelectenerg-3307	377	44	disjunctive	disjunctive	ADJ
fuelectenerg-3307	377	45	forms	form	NOUN
fuelectenerg-3307	377	46	of	of	ADP
fuelectenerg-3307	377	47	the	the	DET
fuelectenerg-3307	377	48	same	same	ADJ
fuelectenerg-3307	377	49	complexity	complexity	NOUN
fuelectenerg-3307	377	50	.	.	PUNCT
fuelectenerg-3307	378	1	both	both	PRON
fuelectenerg-3307	378	2	of	of	ADP
fuelectenerg-3307	378	3	them	they	PRON
fuelectenerg-3307	378	4	realize	realize	VERB
fuelectenerg-3307	378	5	the	the	DET
fuelectenerg-3307	378	6	on	on	ADP
fuelectenerg-3307	378	7	-	-	PUNCT
fuelectenerg-3307	378	8	set	set	VERB
fuelectenerg-3307	378	9	function	function	NOUN
fuelectenerg-3307	378	10	fq(x	fq(x	PUNCT
fuelectenerg-3307	378	11	)	)	PUNCT
fuelectenerg-3307	378	12	and	and	CCONJ
fuelectenerg-3307	378	13	require	require	VERB
fuelectenerg-3307	378	14	the	the	DET
fuelectenerg-3307	378	15	same	same	ADJ
fuelectenerg-3307	378	16	number	number	NOUN
fuelectenerg-3307	378	17	of	of	ADP
fuelectenerg-3307	378	18	gates	gate	NOUN
fuelectenerg-3307	378	19	and	and	CCONJ
fuelectenerg-3307	378	20	levels	level	NOUN
fuelectenerg-3307	378	21	in	in	ADP
fuelectenerg-3307	378	22	a	a	DET
fuelectenerg-3307	378	23	circuit	circuit	NOUN
fuelectenerg-3307	378	24	.	.	PUNCT
fuelectenerg-3307	379	1	the	the	DET
fuelectenerg-3307	379	2	chosen	choose	VERB
fuelectenerg-3307	379	3	minimal	minimal	ADJ
fuelectenerg-3307	379	4	disjunctive	disjunctive	ADJ
fuelectenerg-3307	379	5	form	form	NOUN
fuelectenerg-3307	379	6	is	be	AUX
fuelectenerg-3307	379	7	:	:	PUNCT
fuelectenerg-3307	379	8	fq(x	fq(x	NOUN
fuelectenerg-3307	379	9	)	)	PUNCT
fuelectenerg-3307	379	10	=	=	SYM
fuelectenerg-3307	380	1	(	(	PUNCT
fuelectenerg-3307	380	2	x1x2)x3	x1x2)x3	PROPN
fuelectenerg-3307	380	3	∨	∨	X
fuelectenerg-3307	380	4	(	(	PUNCT
fuelectenerg-3307	380	5	x1x2)(x4x5)∨	x1x2)(x4x5)∨	X
fuelectenerg-3307	380	6	(	(	PUNCT
fuelectenerg-3307	380	7	x1x2)(x4x5)∨	x1x2)(x4x5)∨	X
fuelectenerg-3307	380	8	(	(	PUNCT
fuelectenerg-3307	380	9	x2x3)(x4x5)∨	x2x3)(x4x5)∨	NUM
fuelectenerg-3307	380	10	(	(	PUNCT
fuelectenerg-3307	380	11	x1x2)(x3x4)∨	x1x2)(x3x4)∨	X
fuelectenerg-3307	380	12	(	(	PUNCT
fuelectenerg-3307	380	13	x1x3)(x4x5)∨	x1x3)(x4x5)∨	X
fuelectenerg-3307	380	14	(	(	PUNCT
fuelectenerg-3307	380	15	x1(x2x3))(x4x5)∨	x1(x2x3))(x4x5)∨	PROPN
fuelectenerg-3307	380	16	(	(	PUNCT
fuelectenerg-3307	380	17	x2(x1x3))(x4x5	x2(x1x3))(x4x5	PROPN
fuelectenerg-3307	380	18	)	)	PUNCT
fuelectenerg-3307	380	19	.	.	PUNCT
fuelectenerg-3307	381	1	(	(	PUNCT
fuelectenerg-3307	381	2	23	23	NUM
fuelectenerg-3307	381	3	)	)	PUNCT
fuelectenerg-3307	381	4	the	the	DET
fuelectenerg-3307	381	5	parentheses	parenthesis	NOUN
fuelectenerg-3307	381	6	in	in	ADP
fuelectenerg-3307	381	7	the	the	DET
fuelectenerg-3307	381	8	conjunctions	conjunction	NOUN
fuelectenerg-3307	381	9	in	in	ADP
fuelectenerg-3307	381	10	(	(	PUNCT
fuelectenerg-3307	381	11	23	23	NUM
fuelectenerg-3307	381	12	)	)	PUNCT
fuelectenerg-3307	381	13	emphasize	emphasize	VERB
fuelectenerg-3307	381	14	the	the	DET
fuelectenerg-3307	381	15	chosen	choose	VERB
fuelectenerg-3307	381	16	two	two	NUM
fuelectenerg-3307	381	17	-	-	PUNCT
fuelectenerg-3307	381	18	input	input	NOUN
fuelectenerg-3307	381	19	andgates	andgate	NOUN
fuelectenerg-3307	381	20	.	.	PUNCT
fuelectenerg-3307	382	1	figure	figure	NOUN
fuelectenerg-3307	382	2	2	2	NUM
fuelectenerg-3307	382	3	shows	show	VERB
fuelectenerg-3307	382	4	the	the	DET
fuelectenerg-3307	382	5	associated	associated	ADJ
fuelectenerg-3307	382	6	circuit	circuit	NOUN
fuelectenerg-3307	382	7	structure	structure	NOUN
fuelectenerg-3307	382	8	in	in	ADP
fuelectenerg-3307	382	9	which	which	PRON
fuelectenerg-3307	382	10	as	as	ADV
fuelectenerg-3307	382	11	much	much	ADV
fuelectenerg-3307	382	12	as	as	ADP
fuelectenerg-3307	382	13	possible	possible	ADJ
fuelectenerg-3307	382	14	and	and	CCONJ
fuelectenerg-3307	382	15	-	-	PUNCT
fuelectenerg-3307	382	16	gates	gate	NOUN
fuelectenerg-3307	382	17	are	be	AUX
fuelectenerg-3307	382	18	reused	reuse	VERB
fuelectenerg-3307	382	19	.	.	PUNCT
fuelectenerg-3307	383	1	the	the	DET
fuelectenerg-3307	383	2	disjunction	disjunction	NOUN
fuelectenerg-3307	383	3	of	of	ADP
fuelectenerg-3307	383	4	eight	eight	NUM
fuelectenerg-3307	383	5	conjunctions	conjunction	NOUN
fuelectenerg-3307	383	6	is	be	AUX
fuelectenerg-3307	383	7	realized	realize	VERB
fuelectenerg-3307	383	8	by	by	ADP
fuelectenerg-3307	383	9	a	a	DET
fuelectenerg-3307	383	10	tree	tree	NOUN
fuelectenerg-3307	383	11	of	of	ADP
fuelectenerg-3307	383	12	seven	seven	NUM
fuelectenerg-3307	383	13	or	or	CCONJ
fuelectenerg-3307	383	14	-	-	PUNCT
fuelectenerg-3307	383	15	gates	gate	NOUN
fuelectenerg-3307	383	16	.	.	PUNCT
fuelectenerg-3307	384	1	seven	seven	NUM
fuelectenerg-3307	384	2	and	and	CCONJ
fuelectenerg-3307	384	3	-	-	PUNCT
fuelectenerg-3307	384	4	gates	gate	NOUN
fuelectenerg-3307	384	5	could	could	AUX
fuelectenerg-3307	384	6	be	be	AUX
fuelectenerg-3307	384	7	reused	reuse	VERB
fuelectenerg-3307	384	8	to	to	PART
fuelectenerg-3307	384	9	build	build	VERB
fuelectenerg-3307	384	10	another	another	DET
fuelectenerg-3307	384	11	conjunction	conjunction	NOUN
fuelectenerg-3307	384	12	.	.	PUNCT
fuelectenerg-3307	385	1	in	in	ADP
fuelectenerg-3307	385	2	total	total	NOUN
fuelectenerg-3307	385	3	there	there	PRON
fuelectenerg-3307	385	4	are	be	VERB
fuelectenerg-3307	385	5	18	18	NUM
fuelectenerg-3307	385	6	and	and	CCONJ
fuelectenerg-3307	385	7	-	-	PUNCT
fuelectenerg-3307	385	8	gates	gate	NOUN
fuelectenerg-3307	385	9	.	.	PUNCT
fuelectenerg-3307	386	1	the	the	DET
fuelectenerg-3307	386	2	complete	complete	ADJ
fuelectenerg-3307	386	3	circuit	circuit	NOUN
fuelectenerg-3307	386	4	consists	consist	VERB
fuelectenerg-3307	386	5	of	of	ADP
fuelectenerg-3307	386	6	25	25	NUM
fuelectenerg-3307	386	7	two	two	NUM
fuelectenerg-3307	386	8	-	-	PUNCT
fuelectenerg-3307	386	9	input	input	NOUN
fuelectenerg-3307	386	10	gates	gate	NOUN
fuelectenerg-3307	386	11	on	on	ADP
fuelectenerg-3307	386	12	six	six	NUM
fuelectenerg-3307	386	13	levels	level	NOUN
fuelectenerg-3307	386	14	.	.	PUNCT
fuelectenerg-3307	387	1	5.3	5.3	NUM
fuelectenerg-3307	387	2	synthesis	synthesis	NOUN
fuelectenerg-3307	387	3	using	use	VERB
fuelectenerg-3307	387	4	the	the	DET
fuelectenerg-3307	387	5	known	know	VERB
fuelectenerg-3307	387	6	non	non	ADJ
fuelectenerg-3307	387	7	-	-	ADJ
fuelectenerg-3307	387	8	compact	compact	ADJ
fuelectenerg-3307	387	9	xor	xor	PROPN
fuelectenerg-3307	387	10	-	-	PUNCT
fuelectenerg-3307	387	11	bi	bi	ADJ
fuelectenerg-3307	387	12	-	-	NOUN
fuelectenerg-3307	387	13	decomposition	decomposition	NOUN
fuelectenerg-3307	387	14	using	use	VERB
fuelectenerg-3307	387	15	condition	condition	NOUN
fuelectenerg-3307	387	16	(	(	PUNCT
fuelectenerg-3307	387	17	3	3	X
fuelectenerg-3307	387	18	)	)	PUNCT
fuelectenerg-3307	387	19	it	it	PRON
fuelectenerg-3307	387	20	was	be	AUX
fuelectenerg-3307	387	21	found	find	VERB
fuelectenerg-3307	387	22	that	that	SCONJ
fuelectenerg-3307	387	23	the	the	DET
fuelectenerg-3307	387	24	lattice	lattice	NOUN
fuelectenerg-3307	387	25	of	of	ADP
fuelectenerg-3307	387	26	figure	figure	NOUN
fuelectenerg-3307	387	27	1	1	NUM
fuelectenerg-3307	387	28	(	(	PUNCT
fuelectenerg-3307	387	29	a	a	PRON
fuelectenerg-3307	387	30	)	)	PUNCT
fuelectenerg-3307	387	31	contains	contain	VERB
fuelectenerg-3307	387	32	at	at	ADV
fuelectenerg-3307	387	33	least	least	ADV
fuelectenerg-3307	387	34	one	one	NUM
fuelectenerg-3307	387	35	function	function	NOUN
fuelectenerg-3307	387	36	that	that	PRON
fuelectenerg-3307	387	37	is	be	AUX
fuelectenerg-3307	387	38	xor	xor	PROPN
fuelectenerg-3307	387	39	-	-	PUNCT
fuelectenerg-3307	387	40	bi	bi	NOUN
fuelectenerg-3307	387	41	-	-	ADJ
fuelectenerg-3307	387	42	decomposable	decomposable	ADJ
fuelectenerg-3307	387	43	with	with	ADP
fuelectenerg-3307	387	44	regard	regard	NOUN
fuelectenerg-3307	387	45	to	to	ADP
fuelectenerg-3307	387	46	the	the	DET
fuelectenerg-3307	387	47	single	single	ADJ
fuelectenerg-3307	387	48	variable	variable	NOUN
fuelectenerg-3307	387	49	xa	xa	PROPN
fuelectenerg-3307	388	1	=	=	SYM
fuelectenerg-3307	388	2	x1	x1	PROPN
fuelectenerg-3307	388	3	and	and	CCONJ
fuelectenerg-3307	388	4	the	the	DET
fuelectenerg-3307	388	5	dedicated	dedicated	ADJ
fuelectenerg-3307	388	6	set	set	VERB
fuelectenerg-3307	388	7	xb	xb	X
fuelectenerg-3307	389	1	=	=	SYM
fuelectenerg-3307	389	2	(	(	PUNCT
fuelectenerg-3307	389	3	x3,x5	x3,x5	PROPN
fuelectenerg-3307	389	4	)	)	PUNCT
fuelectenerg-3307	389	5	.	.	PUNCT
fuelectenerg-3307	390	1	hence	hence	ADV
fuelectenerg-3307	390	2	,	,	PUNCT
fuelectenerg-3307	390	3	the	the	DET
fuelectenerg-3307	390	4	set	set	NOUN
fuelectenerg-3307	390	5	of	of	ADP
fuelectenerg-3307	390	6	commonly	commonly	ADV
fuelectenerg-3307	390	7	used	use	VERB
fuelectenerg-3307	390	8	variables	variable	NOUN
fuelectenerg-3307	390	9	xc	xc	PUNCT
fuelectenerg-3307	391	1	=	=	SYM
fuelectenerg-3307	391	2	(	(	PUNCT
fuelectenerg-3307	391	3	x2,x4	x2,x4	PROPN
fuelectenerg-3307	391	4	)	)	PUNCT
fuelectenerg-3307	391	5	.	.	PUNCT
fuelectenerg-3307	392	1	the	the	DET
fuelectenerg-3307	392	2	decomposition	decomposition	NOUN
fuelectenerg-3307	392	3	function	function	NOUN
fuelectenerg-3307	392	4	g(xa	g(xa	PROPN
fuelectenerg-3307	392	5	,	,	PUNCT
fuelectenerg-3307	392	6	xc	xc	PROPN
fuelectenerg-3307	392	7	)	)	PUNCT
fuelectenerg-3307	392	8	of	of	ADP
fuelectenerg-3307	392	9	an	an	PRON
fuelectenerg-3307	392	10	xor	xor	PROPN
fuelectenerg-3307	392	11	-	-	PUNCT
fuelectenerg-3307	392	12	bi	bi	NOUN
fuelectenerg-3307	392	13	-	-	NOUN
fuelectenerg-3307	392	14	decomposition	decomposition	NOUN
fuelectenerg-3307	392	15	is	be	AUX
fuelectenerg-3307	392	16	uniquely	uniquely	ADV
fuelectenerg-3307	392	17	specified	specify	VERB
fuelectenerg-3307	392	18	by	by	ADP
fuelectenerg-3307	392	19	(	(	PUNCT
fuelectenerg-3307	392	20	4	4	NUM
fuelectenerg-3307	392	21	)	)	PUNCT
fuelectenerg-3307	392	22	,	,	PUNCT
fuelectenerg-3307	392	23	and	and	CCONJ
fuelectenerg-3307	392	24	we	we	PRON
fuelectenerg-3307	392	25	get	get	VERB
fuelectenerg-3307	392	26	g1(x1,x2,x4	g1(x1,x2,x4	NOUN
fuelectenerg-3307	392	27	)	)	PUNCT
fuelectenerg-3307	393	1	=	=	SYM
fuelectenerg-3307	393	2	x1	x1	NUM
fuelectenerg-3307	393	3	∧	∧	PROPN
fuelectenerg-3307	393	4	(	(	PUNCT
fuelectenerg-3307	393	5	x2	x2	PROPN
fuelectenerg-3307	393	6	∧	∧	PROPN
fuelectenerg-3307	393	7	x4	x4	PROPN
fuelectenerg-3307	393	8	)	)	PUNCT
fuelectenerg-3307	393	9	.	.	PUNCT
fuelectenerg-3307	394	1	(	(	PUNCT
fuelectenerg-3307	394	2	24	24	NUM
fuelectenerg-3307	394	3	)	)	PUNCT
fuelectenerg-3307	394	4	it	it	PRON
fuelectenerg-3307	394	5	can	can	AUX
fuelectenerg-3307	394	6	directly	directly	ADV
fuelectenerg-3307	394	7	be	be	AUX
fuelectenerg-3307	394	8	seen	see	VERB
fuelectenerg-3307	394	9	that	that	SCONJ
fuelectenerg-3307	394	10	there	there	PRON
fuelectenerg-3307	394	11	is	be	VERB
fuelectenerg-3307	394	12	a	a	DET
fuelectenerg-3307	394	13	strong	strong	ADJ
fuelectenerg-3307	394	14	and	and	CCONJ
fuelectenerg-3307	394	15	-	-	PUNCT
fuelectenerg-3307	394	16	bi	bi	NOUN
fuelectenerg-3307	394	17	-	-	NOUN
fuelectenerg-3307	394	18	decomposition	decomposition	NOUN
fuelectenerg-3307	394	19	of	of	ADP
fuelectenerg-3307	394	20	g1(x1,x2,x4	g1(x1,x2,x4	NOUN
fuelectenerg-3307	394	21	)	)	PUNCT
fuelectenerg-3307	394	22	into	into	ADP
fuelectenerg-3307	394	23	g2	g2	PROPN
fuelectenerg-3307	394	24	=	=	PUNCT
fuelectenerg-3307	394	25	x1	x1	PROPN
fuelectenerg-3307	394	26	and	and	CCONJ
fuelectenerg-3307	394	27	h2	h2	NOUN
fuelectenerg-3307	394	28	=	=	SYM
fuelectenerg-3307	394	29	(	(	PUNCT
fuelectenerg-3307	394	30	x2	x2	PROPN
fuelectenerg-3307	394	31	∧	∧	PROPN
fuelectenerg-3307	394	32	x4	x4	PROPN
fuelectenerg-3307	394	33	)	)	PUNCT
fuelectenerg-3307	394	34	.	.	PUNCT
fuelectenerg-3307	395	1	no	no	DET
fuelectenerg-3307	395	2	further	further	ADJ
fuelectenerg-3307	395	3	decomposition	decomposition	NOUN
fuelectenerg-3307	395	4	is	be	AUX
fuelectenerg-3307	395	5	needed	need	VERB
fuelectenerg-3307	395	6	for	for	ADP
fuelectenerg-3307	395	7	these	these	DET
fuelectenerg-3307	395	8	functions	function	NOUN
fuelectenerg-3307	395	9	.	.	PUNCT
fuelectenerg-3307	396	1	compact	compact	ADJ
fuelectenerg-3307	396	2	xor	xor	PROPN
fuelectenerg-3307	396	3	-	-	PUNCT
fuelectenerg-3307	396	4	bi	bi	NOUN
fuelectenerg-3307	396	5	-	-	NOUN
fuelectenerg-3307	396	6	decomposition	decomposition	NOUN
fuelectenerg-3307	396	7	for	for	ADP
fuelectenerg-3307	396	8	lattices	lattice	NOUN
fuelectenerg-3307	396	9	of	of	ADP
fuelectenerg-3307	396	10	boolean	boolean	ADJ
fuelectenerg-3307	396	11	functions	function	NOUN
fuelectenerg-3307	396	12	13	13	NUM
fuelectenerg-3307	396	13	y	y	NOUN
fuelectenerg-3307	396	14	=	=	PUNCT
fuelectenerg-3307	396	15	fq(x)x1	fq(x)x1	PROPN
fuelectenerg-3307	397	1	x2	x2	NOUN
fuelectenerg-3307	397	2	x3	x3	PROPN
fuelectenerg-3307	397	3	x4	x4	PROPN
fuelectenerg-3307	397	4	x5	x5	PROPN
fuelectenerg-3307	397	5	fig	fig	NOUN
fuelectenerg-3307	397	6	.	.	PUNCT
fuelectenerg-3307	398	1	2	2	X
fuelectenerg-3307	398	2	.	.	X
fuelectenerg-3307	398	3	circuit	circuit	NOUN
fuelectenerg-3307	398	4	structure	structure	NOUN
fuelectenerg-3307	398	5	synthesized	synthesize	VERB
fuelectenerg-3307	398	6	by	by	ADP
fuelectenerg-3307	398	7	quine	quine	PROPN
fuelectenerg-3307	398	8	-	-	PUNCT
fuelectenerg-3307	398	9	mccluskey	mccluskey	PROPN
fuelectenerg-3307	398	10	and	and	CCONJ
fuelectenerg-3307	398	11	reused	reuse	VERB
fuelectenerg-3307	398	12	two	two	NUM
fuelectenerg-3307	398	13	-	-	PUNCT
fuelectenerg-3307	398	14	input	input	NOUN
fuelectenerg-3307	398	15	gates	gate	NOUN
fuelectenerg-3307	398	16	.	.	PUNCT
fuelectenerg-3307	399	1	y	y	NOUN
fuelectenerg-3307	399	2	=	=	SYM
fuelectenerg-3307	399	3	f	f	PROPN
fuelectenerg-3307	399	4	(	(	PUNCT
fuelectenerg-3307	399	5	x	x	X
fuelectenerg-3307	399	6	)	)	PUNCT
fuelectenerg-3307	399	7	g1g2	g1g2	PROPN
fuelectenerg-3307	399	8	h2	h2	PROPN
fuelectenerg-3307	399	9	h1	h1	PROPN
fuelectenerg-3307	399	10	g3	g3	PROPN
fuelectenerg-3307	399	11	h3	h3	NOUN
fuelectenerg-3307	399	12	g4	g4	NOUN
fuelectenerg-3307	399	13	h4	h4	NOUN
fuelectenerg-3307	400	1	x1	x1	NOUN
fuelectenerg-3307	401	1	x2	x2	NOUN
fuelectenerg-3307	401	2	x3	x3	PROPN
fuelectenerg-3307	401	3	x4	x4	PROPN
fuelectenerg-3307	401	4	x5	x5	PROPN
fuelectenerg-3307	401	5	fig	fig	NOUN
fuelectenerg-3307	401	6	.	.	PUNCT
fuelectenerg-3307	402	1	3	3	X
fuelectenerg-3307	402	2	.	.	X
fuelectenerg-3307	402	3	circuit	circuit	NOUN
fuelectenerg-3307	402	4	structure	structure	NOUN
fuelectenerg-3307	402	5	synthesized	synthesize	VERB
fuelectenerg-3307	402	6	using	use	VERB
fuelectenerg-3307	402	7	the	the	DET
fuelectenerg-3307	402	8	old	old	ADJ
fuelectenerg-3307	402	9	non	non	ADJ
fuelectenerg-3307	402	10	-	-	ADJ
fuelectenerg-3307	402	11	compact	compact	ADJ
fuelectenerg-3307	402	12	xor	xor	PROPN
fuelectenerg-3307	402	13	-	-	PUNCT
fuelectenerg-3307	402	14	bi	bi	NOUN
fuelectenerg-3307	402	15	-	-	NOUN
fuelectenerg-3307	402	16	decomposition	decomposition	NOUN
fuelectenerg-3307	402	17	.	.	PUNCT
fuelectenerg-3307	403	1	the	the	DET
fuelectenerg-3307	403	2	lattice	lattice	NOUN
fuelectenerg-3307	403	3	of	of	ADP
fuelectenerg-3307	403	4	the	the	DET
fuelectenerg-3307	403	5	decomposition	decomposition	NOUN
fuelectenerg-3307	403	6	function	function	NOUN
fuelectenerg-3307	403	7	h1	h1	NOUN
fuelectenerg-3307	403	8	can	can	AUX
fuelectenerg-3307	403	9	be	be	AUX
fuelectenerg-3307	403	10	calculated	calculate	VERB
fuelectenerg-3307	403	11	by	by	ADP
fuelectenerg-3307	403	12	(	(	PUNCT
fuelectenerg-3307	403	13	5	5	NUM
fuelectenerg-3307	403	14	)	)	PUNCT
fuelectenerg-3307	403	15	and	and	CCONJ
fuelectenerg-3307	403	16	(	(	PUNCT
fuelectenerg-3307	403	17	6	6	NUM
fuelectenerg-3307	403	18	)	)	PUNCT
fuelectenerg-3307	403	19	and	and	CCONJ
fuelectenerg-3307	403	20	contains	contain	VERB
fuelectenerg-3307	403	21	in	in	ADP
fuelectenerg-3307	403	22	this	this	DET
fuelectenerg-3307	403	23	example	example	NOUN
fuelectenerg-3307	403	24	the	the	DET
fuelectenerg-3307	403	25	single	single	ADJ
fuelectenerg-3307	403	26	function	function	NOUN
fuelectenerg-3307	403	27	h1(x2,x3,x4,x5	h1(x2,x3,x4,x5	PROPN
fuelectenerg-3307	403	28	)	)	PUNCT
fuelectenerg-3307	403	29	=	=	SYM
fuelectenerg-3307	404	1	(	(	PUNCT
fuelectenerg-3307	404	2	x3	x3	PROPN
fuelectenerg-3307	404	3	∧	∧	PROPN
fuelectenerg-3307	404	4	(	(	PUNCT
fuelectenerg-3307	404	5	x4	x4	PROPN
fuelectenerg-3307	404	6	⊕	⊕	PROPN
fuelectenerg-3307	404	7	x5))⊕	x5))⊕	PROPN
fuelectenerg-3307	405	1	(	(	PUNCT
fuelectenerg-3307	405	2	x2	x2	PROPN
fuelectenerg-3307	405	3	⊕	⊕	PROPN
fuelectenerg-3307	405	4	x3	x3	PROPN
fuelectenerg-3307	405	5	)	)	PUNCT
fuelectenerg-3307	405	6	.	.	PUNCT
fuelectenerg-3307	406	1	(	(	PUNCT
fuelectenerg-3307	406	2	25	25	NUM
fuelectenerg-3307	406	3	)	)	PUNCT
fuelectenerg-3307	406	4	by	by	ADP
fuelectenerg-3307	406	5	means	mean	NOUN
fuelectenerg-3307	406	6	of	of	ADP
fuelectenerg-3307	406	7	condition	condition	NOUN
fuelectenerg-3307	406	8	(	(	PUNCT
fuelectenerg-3307	406	9	3	3	X
fuelectenerg-3307	406	10	)	)	PUNCT
fuelectenerg-3307	406	11	it	it	PRON
fuelectenerg-3307	406	12	can	can	AUX
fuelectenerg-3307	406	13	be	be	AUX
fuelectenerg-3307	406	14	verified	verify	VERB
fuelectenerg-3307	406	15	that	that	SCONJ
fuelectenerg-3307	406	16	an	an	DET
fuelectenerg-3307	406	17	xor	xor	PROPN
fuelectenerg-3307	406	18	-	-	PUNCT
fuelectenerg-3307	406	19	bi	bi	NOUN
fuelectenerg-3307	406	20	-	-	NOUN
fuelectenerg-3307	406	21	decomposition	decomposition	NOUN
fuelectenerg-3307	406	22	of	of	ADP
fuelectenerg-3307	406	23	l	l	NOUN
fuelectenerg-3307	406	24	〈	〈	PROPN
fuelectenerg-3307	406	25	h1q	h1q	NOUN
fuelectenerg-3307	406	26	,	,	PUNCT
fuelectenerg-3307	406	27	h1r	h1r	X
fuelectenerg-3307	406	28	〉	〉	NOUN
fuelectenerg-3307	406	29	with	with	ADP
fuelectenerg-3307	406	30	regard	regard	NOUN
fuelectenerg-3307	406	31	to	to	ADP
fuelectenerg-3307	406	32	xa	xa	PROPN
fuelectenerg-3307	406	33	=	=	SYM
fuelectenerg-3307	406	34	x2	x2	PROPN
fuelectenerg-3307	406	35	and	and	CCONJ
fuelectenerg-3307	406	36	xb	xb	X
fuelectenerg-3307	406	37	=	=	SYM
fuelectenerg-3307	406	38	(	(	PUNCT
fuelectenerg-3307	406	39	x4,x5	x4,x5	PROPN
fuelectenerg-3307	406	40	)	)	PUNCT
fuelectenerg-3307	406	41	exists	exist	VERB
fuelectenerg-3307	406	42	.	.	PUNCT
fuelectenerg-3307	407	1	hence	hence	ADV
fuelectenerg-3307	407	2	,	,	PUNCT
fuelectenerg-3307	407	3	only	only	ADV
fuelectenerg-3307	407	4	the	the	DET
fuelectenerg-3307	407	5	variable	variable	ADJ
fuelectenerg-3307	407	6	x3	x3	PROPN
fuelectenerg-3307	407	7	belongs	belong	VERB
fuelectenerg-3307	407	8	to	to	ADP
fuelectenerg-3307	407	9	the	the	DET
fuelectenerg-3307	407	10	set	set	NOUN
fuelectenerg-3307	407	11	of	of	ADP
fuelectenerg-3307	407	12	commonly	commonly	ADV
fuelectenerg-3307	407	13	used	use	VERB
fuelectenerg-3307	407	14	variables	variable	NOUN
fuelectenerg-3307	407	15	xc	xc	PROPN
fuelectenerg-3307	407	16	.	.	PUNCT
fuelectenerg-3307	408	1	the	the	DET
fuelectenerg-3307	408	2	decomposition	decomposition	NOUN
fuelectenerg-3307	408	3	function	function	NOUN
fuelectenerg-3307	408	4	g(xa	g(xa	PROPN
fuelectenerg-3307	408	5	,	,	PUNCT
fuelectenerg-3307	408	6	xc	xc	PROPN
fuelectenerg-3307	408	7	)	)	PUNCT
fuelectenerg-3307	408	8	of	of	ADP
fuelectenerg-3307	408	9	this	this	DET
fuelectenerg-3307	408	10	second	second	ADJ
fuelectenerg-3307	408	11	xor	xor	PROPN
fuelectenerg-3307	408	12	-	-	PUNCT
fuelectenerg-3307	408	13	bi	bi	ADJ
fuelectenerg-3307	408	14	-	-	ADJ
fuelectenerg-3307	408	15	decomposition	decomposition	NOUN
fuelectenerg-3307	408	16	234	234	NUM
fuelectenerg-3307	408	17	b.	b.	NOUN
fuelectenerg-3307	408	18	steinbach	steinbach	PROPN
fuelectenerg-3307	408	19	,	,	PUNCT
fuelectenerg-3307	408	20	c.	c.	PROPN
fuelectenerg-3307	408	21	posthoff	posthoff	PROPN
fuelectenerg-3307	408	22	compact	compact	ADJ
fuelectenerg-3307	408	23	xor	xor	PROPN
fuelectenerg-3307	408	24	-	-	PUNCT
fuelectenerg-3307	408	25	bi	bi	NOUN
fuelectenerg-3307	408	26	-	-	NOUN
fuelectenerg-3307	408	27	decomposition	decomposition	NOUN
fuelectenerg-3307	408	28	for	for	ADP
fuelectenerg-3307	408	29	lattices	lattice	NOUN
fuelectenerg-3307	408	30	of	of	ADP
fuelectenerg-3307	408	31	boolean	boolean	ADJ
fuelectenerg-3307	408	32	functions	function	NOUN
fuelectenerg-3307	408	33	235	235	NUM
fuelectenerg-3307	408	34	14	14	NUM
fuelectenerg-3307	408	35	b.	b.	PROPN
fuelectenerg-3307	408	36	steinbach	steinbach	PROPN
fuelectenerg-3307	408	37	and	and	CCONJ
fuelectenerg-3307	408	38	c.	c.	PROPN
fuelectenerg-3307	408	39	posthoff	posthoff	PROPN
fuelectenerg-3307	408	40	:	:	PUNCT
fuelectenerg-3307	408	41	was	be	AUX
fuelectenerg-3307	408	42	again	again	ADV
fuelectenerg-3307	408	43	calculated	calculate	VERB
fuelectenerg-3307	408	44	by	by	ADP
fuelectenerg-3307	408	45	(	(	PUNCT
fuelectenerg-3307	408	46	4	4	NUM
fuelectenerg-3307	408	47	):	):	PUNCT
fuelectenerg-3307	408	48	g3(x2,x3	g3(x2,x3	NOUN
fuelectenerg-3307	408	49	)	)	PUNCT
fuelectenerg-3307	408	50	=	=	SYM
fuelectenerg-3307	408	51	x2	x2	PROPN
fuelectenerg-3307	408	52	⊕	⊕	PROPN
fuelectenerg-3307	408	53	x3	x3	VERB
fuelectenerg-3307	408	54	.	.	PUNCT
fuelectenerg-3307	409	1	the	the	DET
fuelectenerg-3307	409	2	lattice	lattice	PROPN
fuelectenerg-3307	409	3	l	l	PROPN
fuelectenerg-3307	409	4	〈	〈	PROPN
fuelectenerg-3307	409	5	h3q	h3q	PROPN
fuelectenerg-3307	409	6	,	,	PUNCT
fuelectenerg-3307	409	7	h3r	h3r	NOUN
fuelectenerg-3307	409	8	〉	〉	NOUN
fuelectenerg-3307	409	9	contains	contain	VERB
fuelectenerg-3307	409	10	only	only	ADV
fuelectenerg-3307	409	11	the	the	DET
fuelectenerg-3307	409	12	single	single	ADJ
fuelectenerg-3307	409	13	function	function	NOUN
fuelectenerg-3307	409	14	h3(x3,x4,x5	h3(x3,x4,x5	NOUN
fuelectenerg-3307	409	15	)	)	PUNCT
fuelectenerg-3307	409	16	=	=	SYM
fuelectenerg-3307	410	1	x3	x3	ADJ
fuelectenerg-3307	410	2	∧	∧	PROPN
fuelectenerg-3307	410	3	(	(	PUNCT
fuelectenerg-3307	410	4	x4	x4	PROPN
fuelectenerg-3307	410	5	⊕	⊕	PROPN
fuelectenerg-3307	410	6	x5	x5	PROPN
fuelectenerg-3307	410	7	)	)	PUNCT
fuelectenerg-3307	410	8	for	for	ADP
fuelectenerg-3307	410	9	which	which	PRON
fuelectenerg-3307	410	10	a	a	DET
fuelectenerg-3307	410	11	strong	strong	ADJ
fuelectenerg-3307	410	12	and	and	CCONJ
fuelectenerg-3307	410	13	-	-	PUNCT
fuelectenerg-3307	410	14	bi	bi	NOUN
fuelectenerg-3307	410	15	-	-	NOUN
fuelectenerg-3307	410	16	decomposition	decomposition	NOUN
fuelectenerg-3307	410	17	into	into	ADP
fuelectenerg-3307	410	18	g4	g4	NOUN
fuelectenerg-3307	410	19	=	=	SYM
fuelectenerg-3307	410	20	x3	x3	NOUN
fuelectenerg-3307	410	21	and	and	CCONJ
fuelectenerg-3307	410	22	h4	h4	PROPN
fuelectenerg-3307	410	23	=	=	SYM
fuelectenerg-3307	410	24	(	(	PUNCT
fuelectenerg-3307	410	25	x4	x4	PROPN
fuelectenerg-3307	410	26	⊕	⊕	PROPN
fuelectenerg-3307	410	27	x5	x5	PROPN
fuelectenerg-3307	410	28	)	)	PUNCT
fuelectenerg-3307	410	29	exists	exist	VERB
fuelectenerg-3307	410	30	.	.	PUNCT
fuelectenerg-3307	411	1	no	no	DET
fuelectenerg-3307	411	2	further	further	ADJ
fuelectenerg-3307	411	3	decomposition	decomposition	NOUN
fuelectenerg-3307	411	4	is	be	AUX
fuelectenerg-3307	411	5	needed	need	VERB
fuelectenerg-3307	411	6	for	for	ADP
fuelectenerg-3307	411	7	these	these	DET
fuelectenerg-3307	411	8	functions	function	NOUN
fuelectenerg-3307	411	9	.	.	PUNCT
fuelectenerg-3307	412	1	figure	figure	NOUN
fuelectenerg-3307	412	2	3	3	NUM
fuelectenerg-3307	412	3	shows	show	VERB
fuelectenerg-3307	412	4	the	the	DET
fuelectenerg-3307	412	5	synthesized	synthesize	VERB
fuelectenerg-3307	412	6	circuit	circuit	NOUN
fuelectenerg-3307	412	7	consisting	consist	VERB
fuelectenerg-3307	412	8	of	of	ADP
fuelectenerg-3307	412	9	seven	seven	NUM
fuelectenerg-3307	412	10	gates	gate	NOUN
fuelectenerg-3307	412	11	on	on	ADP
fuelectenerg-3307	412	12	four	four	NUM
fuelectenerg-3307	412	13	levels	level	NOUN
fuelectenerg-3307	412	14	.	.	PUNCT
fuelectenerg-3307	413	1	5.4	5.4	NUM
fuelectenerg-3307	413	2	optimized	optimize	VERB
fuelectenerg-3307	413	3	synthesis	synthesis	NOUN
fuelectenerg-3307	413	4	using	use	VERB
fuelectenerg-3307	413	5	the	the	DET
fuelectenerg-3307	413	6	new	new	ADJ
fuelectenerg-3307	413	7	compact	compact	ADJ
fuelectenerg-3307	413	8	xor	xor	PROPN
fuelectenerg-3307	413	9	-	-	PUNCT
fuelectenerg-3307	413	10	bi	bi	NOUN
fuelectenerg-3307	413	11	-	-	NOUN
fuelectenerg-3307	413	12	decomposition	decomposition	NOUN
fuelectenerg-3307	413	13	for	for	ADP
fuelectenerg-3307	413	14	direct	direct	ADJ
fuelectenerg-3307	413	15	comparison	comparison	NOUN
fuelectenerg-3307	413	16	we	we	PRON
fuelectenerg-3307	413	17	demonstrated	demonstrate	VERB
fuelectenerg-3307	413	18	the	the	DET
fuelectenerg-3307	413	19	approach	approach	NOUN
fuelectenerg-3307	413	20	of	of	ADP
fuelectenerg-3307	413	21	the	the	DET
fuelectenerg-3307	413	22	utilization	utilization	NOUN
fuelectenerg-3307	413	23	of	of	ADP
fuelectenerg-3307	413	24	a	a	DET
fuelectenerg-3307	413	25	linearly	linearly	ADV
fuelectenerg-3307	413	26	separable	separable	ADJ
fuelectenerg-3307	413	27	variable	variable	NOUN
fuelectenerg-3307	413	28	to	to	PART
fuelectenerg-3307	413	29	get	get	VERB
fuelectenerg-3307	413	30	a	a	DET
fuelectenerg-3307	413	31	compact	compact	ADJ
fuelectenerg-3307	413	32	xor	xor	PROPN
fuelectenerg-3307	413	33	-	-	PUNCT
fuelectenerg-3307	413	34	bi	bi	NOUN
fuelectenerg-3307	413	35	-	-	NOUN
fuelectenerg-3307	413	36	decomposition	decomposition	NOUN
fuelectenerg-3307	413	37	using	use	VERB
fuelectenerg-3307	413	38	the	the	DET
fuelectenerg-3307	413	39	same	same	ADJ
fuelectenerg-3307	413	40	lattice	lattice	NOUN
fuelectenerg-3307	413	41	(	(	PUNCT
fuelectenerg-3307	413	42	shown	show	VERB
fuelectenerg-3307	413	43	in	in	ADP
fuelectenerg-3307	413	44	figure	figure	NOUN
fuelectenerg-3307	413	45	1	1	NUM
fuelectenerg-3307	413	46	(	(	PUNCT
fuelectenerg-3307	413	47	a	a	NOUN
fuelectenerg-3307	413	48	)	)	PUNCT
fuelectenerg-3307	413	49	)	)	PUNCT
fuelectenerg-3307	413	50	as	as	ADP
fuelectenerg-3307	413	51	before	before	ADV
fuelectenerg-3307	413	52	.	.	PUNCT
fuelectenerg-3307	414	1	y	y	NOUN
fuelectenerg-3307	414	2	=	=	SYM
fuelectenerg-3307	414	3	f	f	PROPN
fuelectenerg-3307	414	4	(	(	PUNCT
fuelectenerg-3307	414	5	x	x	X
fuelectenerg-3307	414	6	)	)	PUNCT
fuelectenerg-3307	414	7	g1	g1	PROPN
fuelectenerg-3307	414	8	g2	g2	PROPN
fuelectenerg-3307	414	9	h2	h2	PROPN
fuelectenerg-3307	414	10	h1	h1	PROPN
fuelectenerg-3307	414	11	g3	g3	PROPN
fuelectenerg-3307	414	12	h3	h3	NOUN
fuelectenerg-3307	415	1	x1	x1	PROPN
fuelectenerg-3307	415	2	x2	x2	PROPN
fuelectenerg-3307	415	3	x3	x3	PROPN
fuelectenerg-3307	415	4	x4	x4	PROPN
fuelectenerg-3307	415	5	x5	x5	PROPN
fuelectenerg-3307	415	6	fig	fig	NOUN
fuelectenerg-3307	415	7	.	.	PUNCT
fuelectenerg-3307	416	1	4	4	X
fuelectenerg-3307	416	2	.	.	X
fuelectenerg-3307	416	3	circuit	circuit	NOUN
fuelectenerg-3307	416	4	structure	structure	NOUN
fuelectenerg-3307	416	5	synthesized	synthesize	VERB
fuelectenerg-3307	416	6	using	use	VERB
fuelectenerg-3307	416	7	the	the	DET
fuelectenerg-3307	416	8	new	new	ADJ
fuelectenerg-3307	416	9	compact	compact	ADJ
fuelectenerg-3307	416	10	xor	xor	PROPN
fuelectenerg-3307	416	11	-	-	PUNCT
fuelectenerg-3307	416	12	bi	bi	NOUN
fuelectenerg-3307	416	13	-	-	NOUN
fuelectenerg-3307	416	14	decomposition	decomposition	NOUN
fuelectenerg-3307	416	15	.	.	PUNCT
fuelectenerg-3307	417	1	using	use	VERB
fuelectenerg-3307	417	2	condition	condition	NOUN
fuelectenerg-3307	417	3	(	(	PUNCT
fuelectenerg-3307	417	4	3	3	NUM
fuelectenerg-3307	417	5	)	)	PUNCT
fuelectenerg-3307	417	6	in	in	ADP
fuelectenerg-3307	417	7	algorithm	algorithm	NOUN
fuelectenerg-3307	417	8	1	1	NUM
fuelectenerg-3307	417	9	the	the	DET
fuelectenerg-3307	417	10	initial	initial	ADJ
fuelectenerg-3307	417	11	xor	xor	PROPN
fuelectenerg-3307	417	12	-	-	PUNCT
fuelectenerg-3307	417	13	bi	bi	NOUN
fuelectenerg-3307	417	14	-	-	NOUN
fuelectenerg-3307	417	15	decomposition	decomposition	NOUN
fuelectenerg-3307	417	16	with	with	ADP
fuelectenerg-3307	417	17	regard	regard	NOUN
fuelectenerg-3307	417	18	to	to	ADP
fuelectenerg-3307	417	19	the	the	DET
fuelectenerg-3307	417	20	single	single	ADJ
fuelectenerg-3307	417	21	variables	variable	NOUN
fuelectenerg-3307	417	22	xa	xa	PROPN
fuelectenerg-3307	418	1	=	=	PUNCT
fuelectenerg-3307	418	2	x1	x1	PROPN
fuelectenerg-3307	418	3	and	and	CCONJ
fuelectenerg-3307	418	4	xb	xb	X
fuelectenerg-3307	419	1	=	=	PUNCT
fuelectenerg-3307	419	2	x3	x3	PROPN
fuelectenerg-3307	419	3	is	be	AUX
fuelectenerg-3307	419	4	found	find	VERB
fuelectenerg-3307	419	5	.	.	PUNCT
fuelectenerg-3307	420	1	in	in	ADP
fuelectenerg-3307	420	2	the	the	DET
fuelectenerg-3307	420	3	first	first	ADJ
fuelectenerg-3307	420	4	part	part	NOUN
fuelectenerg-3307	420	5	of	of	ADP
fuelectenerg-3307	420	6	algorithm	algorithm	NOUN
fuelectenerg-3307	420	7	2	2	NUM
fuelectenerg-3307	420	8	(	(	PUNCT
fuelectenerg-3307	420	9	lines	line	NOUN
fuelectenerg-3307	420	10	1	1	NUM
fuelectenerg-3307	420	11	to	to	PART
fuelectenerg-3307	420	12	13	13	NUM
fuelectenerg-3307	420	13	)	)	PUNCT
fuelectenerg-3307	420	14	the	the	DET
fuelectenerg-3307	420	15	dedicated	dedicated	ADJ
fuelectenerg-3307	420	16	set	set	NOUN
fuelectenerg-3307	420	17	xb	xb	PROPN
fuelectenerg-3307	420	18	could	could	AUX
fuelectenerg-3307	420	19	be	be	AUX
fuelectenerg-3307	420	20	extended	extend	VERB
fuelectenerg-3307	420	21	to	to	ADP
fuelectenerg-3307	420	22	(	(	PUNCT
fuelectenerg-3307	420	23	x3,x5	x3,x5	PROPN
fuelectenerg-3307	420	24	)	)	PUNCT
fuelectenerg-3307	420	25	due	due	ADP
fuelectenerg-3307	420	26	to	to	ADP
fuelectenerg-3307	420	27	the	the	DET
fuelectenerg-3307	420	28	check	check	NOUN
fuelectenerg-3307	420	29	of	of	ADP
fuelectenerg-3307	420	30	variables	variable	NOUN
fuelectenerg-3307	420	31	x2	x2	PROPN
fuelectenerg-3307	420	32	,	,	PUNCT
fuelectenerg-3307	420	33	x4	x4	PROPN
fuelectenerg-3307	420	34	,	,	PUNCT
fuelectenerg-3307	420	35	and	and	CCONJ
fuelectenerg-3307	420	36	x5	x5	NOUN
fuelectenerg-3307	420	37	within	within	ADP
fuelectenerg-3307	420	38	line	line	NOUN
fuelectenerg-3307	420	39	9	9	NUM
fuelectenerg-3307	420	40	embedded	embed	VERB
fuelectenerg-3307	420	41	in	in	ADP
fuelectenerg-3307	420	42	the	the	DET
fuelectenerg-3307	420	43	loop	loop	NOUN
fuelectenerg-3307	420	44	of	of	ADP
fuelectenerg-3307	420	45	lines	line	NOUN
fuelectenerg-3307	420	46	8	8	NUM
fuelectenerg-3307	420	47	to	to	ADP
fuelectenerg-3307	420	48	13	13	NUM
fuelectenerg-3307	420	49	.	.	PUNCT
fuelectenerg-3307	421	1	hence	hence	ADV
fuelectenerg-3307	421	2	,	,	PUNCT
fuelectenerg-3307	421	3	the	the	DET
fuelectenerg-3307	421	4	basic	basic	ADJ
fuelectenerg-3307	421	5	set	set	NOUN
fuelectenerg-3307	421	6	of	of	ADP
fuelectenerg-3307	421	7	commonly	commonly	ADV
fuelectenerg-3307	421	8	used	use	VERB
fuelectenerg-3307	421	9	variables	variable	NOUN
fuelectenerg-3307	421	10	is	be	AUX
fuelectenerg-3307	421	11	xc	xc	PROPN
fuelectenerg-3307	421	12	=	=	SYM
fuelectenerg-3307	421	13	(	(	PUNCT
fuelectenerg-3307	421	14	x2,x4	x2,x4	PROPN
fuelectenerg-3307	421	15	)	)	PUNCT
fuelectenerg-3307	421	16	which	which	PRON
fuelectenerg-3307	421	17	is	be	AUX
fuelectenerg-3307	421	18	determined	determine	VERB
fuelectenerg-3307	421	19	in	in	ADP
fuelectenerg-3307	421	20	line	line	NOUN
fuelectenerg-3307	421	21	17	17	NUM
fuelectenerg-3307	421	22	.	.	PUNCT
fuelectenerg-3307	422	1	algorithm	algorithm	NOUN
fuelectenerg-3307	422	2	2	2	NUM
fuelectenerg-3307	422	3	finds	find	VERB
fuelectenerg-3307	422	4	by	by	ADP
fuelectenerg-3307	422	5	condition	condition	NOUN
fuelectenerg-3307	422	6	(	(	PUNCT
fuelectenerg-3307	422	7	14	14	NUM
fuelectenerg-3307	422	8	)	)	PUNCT
fuelectenerg-3307	422	9	in	in	ADP
fuelectenerg-3307	422	10	line	line	NOUN
fuelectenerg-3307	422	11	21	21	NUM
fuelectenerg-3307	422	12	in	in	ADP
fuelectenerg-3307	422	13	the	the	DET
fuelectenerg-3307	422	14	while	while	NOUN
fuelectenerg-3307	422	15	-	-	PUNCT
fuelectenerg-3307	422	16	loop	loop	NOUN
fuelectenerg-3307	422	17	in	in	ADP
fuelectenerg-3307	422	18	lines	line	NOUN
fuelectenerg-3307	422	19	20	20	NUM
fuelectenerg-3307	422	20	to	to	PART
fuelectenerg-3307	422	21	28	28	NUM
fuelectenerg-3307	422	22	that	that	SCONJ
fuelectenerg-3307	422	23	the	the	DET
fuelectenerg-3307	422	24	so	so	ADV
fuelectenerg-3307	422	25	fare	fare	NOUN
fuelectenerg-3307	422	26	detected	detect	VERB
fuelectenerg-3307	422	27	lattice	lattice	NOUN
fuelectenerg-3307	422	28	of	of	ADP
fuelectenerg-3307	422	29	h1	h1	PROPN
fuelectenerg-3307	422	30	contains	contain	VERB
fuelectenerg-3307	422	31	a	a	DET
fuelectenerg-3307	422	32	function	function	NOUN
fuelectenerg-3307	422	33	that	that	PRON
fuelectenerg-3307	422	34	is	be	AUX
fuelectenerg-3307	422	35	linear	linear	ADJ
fuelectenerg-3307	422	36	with	with	ADP
fuelectenerg-3307	422	37	regard	regard	NOUN
fuelectenerg-3307	422	38	to	to	ADP
fuelectenerg-3307	422	39	x2	x2	PROPN
fuelectenerg-3307	422	40	.	.	PUNCT
fuelectenerg-3307	423	1	hence	hence	ADV
fuelectenerg-3307	423	2	,	,	PUNCT
fuelectenerg-3307	423	3	x2	x2	PROPN
fuelectenerg-3307	423	4	is	be	AUX
fuelectenerg-3307	423	5	included	include	VERB
fuelectenerg-3307	423	6	into	into	ADP
fuelectenerg-3307	423	7	the	the	DET
fuelectenerg-3307	423	8	set	set	NOUN
fuelectenerg-3307	423	9	xa	xa	PROPN
fuelectenerg-3307	423	10	in	in	ADP
fuelectenerg-3307	423	11	line	line	NOUN
fuelectenerg-3307	423	12	22	22	NUM
fuelectenerg-3307	423	13	,	,	PUNCT
fuelectenerg-3307	423	14	the	the	DET
fuelectenerg-3307	423	15	new	new	ADJ
fuelectenerg-3307	423	16	function	function	NOUN
fuelectenerg-3307	423	17	g1	g1	PROPN
fuelectenerg-3307	423	18	is	be	AUX
fuelectenerg-3307	423	19	calculated	calculate	VERB
fuelectenerg-3307	423	20	in	in	ADP
fuelectenerg-3307	423	21	lines	line	NOUN
fuelectenerg-3307	423	22	23	23	NUM
fuelectenerg-3307	423	23	and	and	CCONJ
fuelectenerg-3307	423	24	24	24	NUM
fuelectenerg-3307	423	25	using	use	VERB
fuelectenerg-3307	423	26	the	the	DET
fuelectenerg-3307	423	27	basic	basic	ADJ
fuelectenerg-3307	423	28	function	function	NOUN
fuelectenerg-3307	423	29	g′1	g′1	NOUN
fuelectenerg-3307	423	30	(	(	PUNCT
fuelectenerg-3307	423	31	24	24	NUM
fuelectenerg-3307	423	32	):	):	PUNCT
fuelectenerg-3307	423	33	g1(x1,x2,x4	g1(x1,x2,x4	PROPN
fuelectenerg-3307	423	34	)	)	PUNCT
fuelectenerg-3307	424	1	=	=	SYM
fuelectenerg-3307	425	1	x2	x2	PROPN
fuelectenerg-3307	425	2	⊕g′1(x1,x2,x4	⊕g′1(x1,x2,x4	PROPN
fuelectenerg-3307	425	3	)	)	PUNCT
fuelectenerg-3307	425	4	=	=	SYM
fuelectenerg-3307	425	5	x2	x2	PROPN
fuelectenerg-3307	425	6	⊕	⊕	PROPN
fuelectenerg-3307	425	7	(	(	PUNCT
fuelectenerg-3307	425	8	x1	x1	PROPN
fuelectenerg-3307	425	9	∧	∧	PROPN
fuelectenerg-3307	425	10	(	(	PUNCT
fuelectenerg-3307	425	11	x2	x2	PROPN
fuelectenerg-3307	425	12	∧	∧	PROPN
fuelectenerg-3307	425	13	x4	x4	PROPN
fuelectenerg-3307	425	14	)	)	PUNCT
fuelectenerg-3307	425	15	)	)	PUNCT
fuelectenerg-3307	426	1	=	=	PUNCT
fuelectenerg-3307	426	2	(	(	PUNCT
fuelectenerg-3307	426	3	x1	x1	PROPN
fuelectenerg-3307	426	4	⊕	⊕	PROPN
fuelectenerg-3307	426	5	x2)∨	x2)∨	PROPN
fuelectenerg-3307	426	6	(	(	PUNCT
fuelectenerg-3307	426	7	x2	x2	PROPN
fuelectenerg-3307	426	8	∧	∧	PROPN
fuelectenerg-3307	426	9	x4	x4	PROPN
fuelectenerg-3307	426	10	)	)	PUNCT
fuelectenerg-3307	426	11	.	.	PUNCT
fuelectenerg-3307	427	1	(	(	PUNCT
fuelectenerg-3307	427	2	26	26	NUM
fuelectenerg-3307	427	3	)	)	PUNCT
fuelectenerg-3307	427	4	236	236	NUM
fuelectenerg-3307	427	5	b.	b.	PROPN
fuelectenerg-3307	427	6	steinbach	steinbach	PROPN
fuelectenerg-3307	427	7	,	,	PUNCT
fuelectenerg-3307	427	8	c.	c.	PROPN
fuelectenerg-3307	427	9	posthoff	posthoff	PROPN
fuelectenerg-3307	427	10	compact	compact	ADJ
fuelectenerg-3307	427	11	xor	xor	PROPN
fuelectenerg-3307	427	12	-	-	PUNCT
fuelectenerg-3307	427	13	bi	bi	NOUN
fuelectenerg-3307	427	14	-	-	NOUN
fuelectenerg-3307	427	15	decomposition	decomposition	NOUN
fuelectenerg-3307	427	16	for	for	ADP
fuelectenerg-3307	427	17	lattices	lattice	NOUN
fuelectenerg-3307	427	18	of	of	ADP
fuelectenerg-3307	427	19	boolean	boolean	ADJ
fuelectenerg-3307	427	20	functions	function	NOUN
fuelectenerg-3307	427	21	237	237	NUM
fuelectenerg-3307	427	22	14	14	NUM
fuelectenerg-3307	427	23	b.	b.	PROPN
fuelectenerg-3307	427	24	steinbach	steinbach	PROPN
fuelectenerg-3307	427	25	and	and	CCONJ
fuelectenerg-3307	427	26	c.	c.	PROPN
fuelectenerg-3307	427	27	posthoff	posthoff	PROPN
fuelectenerg-3307	427	28	:	:	PUNCT
fuelectenerg-3307	427	29	was	be	AUX
fuelectenerg-3307	427	30	again	again	ADV
fuelectenerg-3307	427	31	calculated	calculate	VERB
fuelectenerg-3307	427	32	by	by	ADP
fuelectenerg-3307	427	33	(	(	PUNCT
fuelectenerg-3307	427	34	4	4	NUM
fuelectenerg-3307	427	35	):	):	PUNCT
fuelectenerg-3307	427	36	g3(x2,x3	g3(x2,x3	NOUN
fuelectenerg-3307	427	37	)	)	PUNCT
fuelectenerg-3307	427	38	=	=	SYM
fuelectenerg-3307	427	39	x2	x2	PROPN
fuelectenerg-3307	427	40	⊕	⊕	PROPN
fuelectenerg-3307	427	41	x3	x3	VERB
fuelectenerg-3307	427	42	.	.	PUNCT
fuelectenerg-3307	428	1	the	the	DET
fuelectenerg-3307	428	2	lattice	lattice	PROPN
fuelectenerg-3307	428	3	l	l	PROPN
fuelectenerg-3307	428	4	〈	〈	PROPN
fuelectenerg-3307	428	5	h3q	h3q	PROPN
fuelectenerg-3307	428	6	,	,	PUNCT
fuelectenerg-3307	428	7	h3r	h3r	NOUN
fuelectenerg-3307	428	8	〉	〉	NOUN
fuelectenerg-3307	428	9	contains	contain	VERB
fuelectenerg-3307	428	10	only	only	ADV
fuelectenerg-3307	428	11	the	the	DET
fuelectenerg-3307	428	12	single	single	ADJ
fuelectenerg-3307	428	13	function	function	NOUN
fuelectenerg-3307	428	14	h3(x3,x4,x5	h3(x3,x4,x5	NOUN
fuelectenerg-3307	428	15	)	)	PUNCT
fuelectenerg-3307	428	16	=	=	SYM
fuelectenerg-3307	429	1	x3	x3	ADJ
fuelectenerg-3307	429	2	∧	∧	PROPN
fuelectenerg-3307	429	3	(	(	PUNCT
fuelectenerg-3307	429	4	x4	x4	PROPN
fuelectenerg-3307	429	5	⊕	⊕	PROPN
fuelectenerg-3307	429	6	x5	x5	PROPN
fuelectenerg-3307	429	7	)	)	PUNCT
fuelectenerg-3307	429	8	for	for	ADP
fuelectenerg-3307	429	9	which	which	PRON
fuelectenerg-3307	429	10	a	a	DET
fuelectenerg-3307	429	11	strong	strong	ADJ
fuelectenerg-3307	429	12	and	and	CCONJ
fuelectenerg-3307	429	13	-	-	PUNCT
fuelectenerg-3307	429	14	bi	bi	NOUN
fuelectenerg-3307	429	15	-	-	NOUN
fuelectenerg-3307	429	16	decomposition	decomposition	NOUN
fuelectenerg-3307	429	17	into	into	ADP
fuelectenerg-3307	429	18	g4	g4	NOUN
fuelectenerg-3307	429	19	=	=	SYM
fuelectenerg-3307	429	20	x3	x3	NOUN
fuelectenerg-3307	429	21	and	and	CCONJ
fuelectenerg-3307	429	22	h4	h4	PROPN
fuelectenerg-3307	429	23	=	=	SYM
fuelectenerg-3307	429	24	(	(	PUNCT
fuelectenerg-3307	429	25	x4	x4	PROPN
fuelectenerg-3307	429	26	⊕	⊕	PROPN
fuelectenerg-3307	429	27	x5	x5	PROPN
fuelectenerg-3307	429	28	)	)	PUNCT
fuelectenerg-3307	429	29	exists	exist	VERB
fuelectenerg-3307	429	30	.	.	PUNCT
fuelectenerg-3307	430	1	no	no	DET
fuelectenerg-3307	430	2	further	further	ADJ
fuelectenerg-3307	430	3	decomposition	decomposition	NOUN
fuelectenerg-3307	430	4	is	be	AUX
fuelectenerg-3307	430	5	needed	need	VERB
fuelectenerg-3307	430	6	for	for	ADP
fuelectenerg-3307	430	7	these	these	DET
fuelectenerg-3307	430	8	functions	function	NOUN
fuelectenerg-3307	430	9	.	.	PUNCT
fuelectenerg-3307	431	1	figure	figure	NOUN
fuelectenerg-3307	431	2	3	3	NUM
fuelectenerg-3307	431	3	shows	show	VERB
fuelectenerg-3307	431	4	the	the	DET
fuelectenerg-3307	431	5	synthesized	synthesize	VERB
fuelectenerg-3307	431	6	circuit	circuit	NOUN
fuelectenerg-3307	431	7	consisting	consist	VERB
fuelectenerg-3307	431	8	of	of	ADP
fuelectenerg-3307	431	9	seven	seven	NUM
fuelectenerg-3307	431	10	gates	gate	NOUN
fuelectenerg-3307	431	11	on	on	ADP
fuelectenerg-3307	431	12	four	four	NUM
fuelectenerg-3307	431	13	levels	level	NOUN
fuelectenerg-3307	431	14	.	.	PUNCT
fuelectenerg-3307	432	1	5.4	5.4	NUM
fuelectenerg-3307	432	2	optimized	optimize	VERB
fuelectenerg-3307	432	3	synthesis	synthesis	NOUN
fuelectenerg-3307	432	4	using	use	VERB
fuelectenerg-3307	432	5	the	the	DET
fuelectenerg-3307	432	6	new	new	ADJ
fuelectenerg-3307	432	7	compact	compact	ADJ
fuelectenerg-3307	432	8	xor	xor	PROPN
fuelectenerg-3307	432	9	-	-	PUNCT
fuelectenerg-3307	432	10	bi	bi	NOUN
fuelectenerg-3307	432	11	-	-	NOUN
fuelectenerg-3307	432	12	decomposition	decomposition	NOUN
fuelectenerg-3307	432	13	for	for	ADP
fuelectenerg-3307	432	14	direct	direct	ADJ
fuelectenerg-3307	432	15	comparison	comparison	NOUN
fuelectenerg-3307	432	16	we	we	PRON
fuelectenerg-3307	432	17	demonstrated	demonstrate	VERB
fuelectenerg-3307	432	18	the	the	DET
fuelectenerg-3307	432	19	approach	approach	NOUN
fuelectenerg-3307	432	20	of	of	ADP
fuelectenerg-3307	432	21	the	the	DET
fuelectenerg-3307	432	22	utilization	utilization	NOUN
fuelectenerg-3307	432	23	of	of	ADP
fuelectenerg-3307	432	24	a	a	DET
fuelectenerg-3307	432	25	linearly	linearly	ADV
fuelectenerg-3307	432	26	separable	separable	ADJ
fuelectenerg-3307	432	27	variable	variable	NOUN
fuelectenerg-3307	432	28	to	to	PART
fuelectenerg-3307	432	29	get	get	VERB
fuelectenerg-3307	432	30	a	a	DET
fuelectenerg-3307	432	31	compact	compact	ADJ
fuelectenerg-3307	432	32	xor	xor	PROPN
fuelectenerg-3307	432	33	-	-	PUNCT
fuelectenerg-3307	432	34	bi	bi	NOUN
fuelectenerg-3307	432	35	-	-	NOUN
fuelectenerg-3307	432	36	decomposition	decomposition	NOUN
fuelectenerg-3307	432	37	using	use	VERB
fuelectenerg-3307	432	38	the	the	DET
fuelectenerg-3307	432	39	same	same	ADJ
fuelectenerg-3307	432	40	lattice	lattice	NOUN
fuelectenerg-3307	432	41	(	(	PUNCT
fuelectenerg-3307	432	42	shown	show	VERB
fuelectenerg-3307	432	43	in	in	ADP
fuelectenerg-3307	432	44	figure	figure	NOUN
fuelectenerg-3307	432	45	1	1	NUM
fuelectenerg-3307	432	46	(	(	PUNCT
fuelectenerg-3307	432	47	a	a	NOUN
fuelectenerg-3307	432	48	)	)	PUNCT
fuelectenerg-3307	432	49	)	)	PUNCT
fuelectenerg-3307	432	50	as	as	ADP
fuelectenerg-3307	432	51	before	before	ADV
fuelectenerg-3307	432	52	.	.	PUNCT
fuelectenerg-3307	433	1	y	y	NOUN
fuelectenerg-3307	433	2	=	=	SYM
fuelectenerg-3307	433	3	f	f	PROPN
fuelectenerg-3307	433	4	(	(	PUNCT
fuelectenerg-3307	433	5	x	x	X
fuelectenerg-3307	433	6	)	)	PUNCT
fuelectenerg-3307	433	7	g1	g1	PROPN
fuelectenerg-3307	433	8	g2	g2	PROPN
fuelectenerg-3307	433	9	h2	h2	PROPN
fuelectenerg-3307	433	10	h1	h1	PROPN
fuelectenerg-3307	433	11	g3	g3	PROPN
fuelectenerg-3307	433	12	h3	h3	NOUN
fuelectenerg-3307	434	1	x1	x1	PROPN
fuelectenerg-3307	434	2	x2	x2	PROPN
fuelectenerg-3307	434	3	x3	x3	PROPN
fuelectenerg-3307	434	4	x4	x4	PROPN
fuelectenerg-3307	434	5	x5	x5	PROPN
fuelectenerg-3307	434	6	fig	fig	NOUN
fuelectenerg-3307	434	7	.	.	PUNCT
fuelectenerg-3307	435	1	4	4	X
fuelectenerg-3307	435	2	.	.	X
fuelectenerg-3307	435	3	circuit	circuit	NOUN
fuelectenerg-3307	435	4	structure	structure	NOUN
fuelectenerg-3307	435	5	synthesized	synthesize	VERB
fuelectenerg-3307	435	6	using	use	VERB
fuelectenerg-3307	435	7	the	the	DET
fuelectenerg-3307	435	8	new	new	ADJ
fuelectenerg-3307	435	9	compact	compact	ADJ
fuelectenerg-3307	435	10	xor	xor	PROPN
fuelectenerg-3307	435	11	-	-	PUNCT
fuelectenerg-3307	435	12	bi	bi	NOUN
fuelectenerg-3307	435	13	-	-	NOUN
fuelectenerg-3307	435	14	decomposition	decomposition	NOUN
fuelectenerg-3307	435	15	.	.	PUNCT
fuelectenerg-3307	436	1	using	use	VERB
fuelectenerg-3307	436	2	condition	condition	NOUN
fuelectenerg-3307	436	3	(	(	PUNCT
fuelectenerg-3307	436	4	3	3	NUM
fuelectenerg-3307	436	5	)	)	PUNCT
fuelectenerg-3307	436	6	in	in	ADP
fuelectenerg-3307	436	7	algorithm	algorithm	NOUN
fuelectenerg-3307	436	8	1	1	NUM
fuelectenerg-3307	436	9	the	the	DET
fuelectenerg-3307	436	10	initial	initial	ADJ
fuelectenerg-3307	436	11	xor	xor	PROPN
fuelectenerg-3307	436	12	-	-	PUNCT
fuelectenerg-3307	436	13	bi	bi	NOUN
fuelectenerg-3307	436	14	-	-	NOUN
fuelectenerg-3307	436	15	decomposition	decomposition	NOUN
fuelectenerg-3307	436	16	with	with	ADP
fuelectenerg-3307	436	17	regard	regard	NOUN
fuelectenerg-3307	436	18	to	to	ADP
fuelectenerg-3307	436	19	the	the	DET
fuelectenerg-3307	436	20	single	single	ADJ
fuelectenerg-3307	436	21	variables	variable	NOUN
fuelectenerg-3307	436	22	xa	xa	PROPN
fuelectenerg-3307	437	1	=	=	PUNCT
fuelectenerg-3307	437	2	x1	x1	PROPN
fuelectenerg-3307	437	3	and	and	CCONJ
fuelectenerg-3307	437	4	xb	xb	X
fuelectenerg-3307	438	1	=	=	PUNCT
fuelectenerg-3307	438	2	x3	x3	PROPN
fuelectenerg-3307	438	3	is	be	AUX
fuelectenerg-3307	438	4	found	find	VERB
fuelectenerg-3307	438	5	.	.	PUNCT
fuelectenerg-3307	439	1	in	in	ADP
fuelectenerg-3307	439	2	the	the	DET
fuelectenerg-3307	439	3	first	first	ADJ
fuelectenerg-3307	439	4	part	part	NOUN
fuelectenerg-3307	439	5	of	of	ADP
fuelectenerg-3307	439	6	algorithm	algorithm	NOUN
fuelectenerg-3307	439	7	2	2	NUM
fuelectenerg-3307	439	8	(	(	PUNCT
fuelectenerg-3307	439	9	lines	line	NOUN
fuelectenerg-3307	439	10	1	1	NUM
fuelectenerg-3307	439	11	to	to	PART
fuelectenerg-3307	439	12	13	13	NUM
fuelectenerg-3307	439	13	)	)	PUNCT
fuelectenerg-3307	439	14	the	the	DET
fuelectenerg-3307	439	15	dedicated	dedicated	ADJ
fuelectenerg-3307	439	16	set	set	NOUN
fuelectenerg-3307	439	17	xb	xb	PROPN
fuelectenerg-3307	439	18	could	could	AUX
fuelectenerg-3307	439	19	be	be	AUX
fuelectenerg-3307	439	20	extended	extend	VERB
fuelectenerg-3307	439	21	to	to	ADP
fuelectenerg-3307	439	22	(	(	PUNCT
fuelectenerg-3307	439	23	x3,x5	x3,x5	PROPN
fuelectenerg-3307	439	24	)	)	PUNCT
fuelectenerg-3307	439	25	due	due	ADP
fuelectenerg-3307	439	26	to	to	ADP
fuelectenerg-3307	439	27	the	the	DET
fuelectenerg-3307	439	28	check	check	NOUN
fuelectenerg-3307	439	29	of	of	ADP
fuelectenerg-3307	439	30	variables	variable	NOUN
fuelectenerg-3307	439	31	x2	x2	PROPN
fuelectenerg-3307	439	32	,	,	PUNCT
fuelectenerg-3307	439	33	x4	x4	PROPN
fuelectenerg-3307	439	34	,	,	PUNCT
fuelectenerg-3307	439	35	and	and	CCONJ
fuelectenerg-3307	439	36	x5	x5	NOUN
fuelectenerg-3307	439	37	within	within	ADP
fuelectenerg-3307	439	38	line	line	NOUN
fuelectenerg-3307	439	39	9	9	NUM
fuelectenerg-3307	439	40	embedded	embed	VERB
fuelectenerg-3307	439	41	in	in	ADP
fuelectenerg-3307	439	42	the	the	DET
fuelectenerg-3307	439	43	loop	loop	NOUN
fuelectenerg-3307	439	44	of	of	ADP
fuelectenerg-3307	439	45	lines	line	NOUN
fuelectenerg-3307	439	46	8	8	NUM
fuelectenerg-3307	439	47	to	to	ADP
fuelectenerg-3307	439	48	13	13	NUM
fuelectenerg-3307	439	49	.	.	PUNCT
fuelectenerg-3307	440	1	hence	hence	ADV
fuelectenerg-3307	440	2	,	,	PUNCT
fuelectenerg-3307	440	3	the	the	DET
fuelectenerg-3307	440	4	basic	basic	ADJ
fuelectenerg-3307	440	5	set	set	NOUN
fuelectenerg-3307	440	6	of	of	ADP
fuelectenerg-3307	440	7	commonly	commonly	ADV
fuelectenerg-3307	440	8	used	use	VERB
fuelectenerg-3307	440	9	variables	variable	NOUN
fuelectenerg-3307	440	10	is	be	AUX
fuelectenerg-3307	440	11	xc	xc	PROPN
fuelectenerg-3307	440	12	=	=	SYM
fuelectenerg-3307	440	13	(	(	PUNCT
fuelectenerg-3307	440	14	x2,x4	x2,x4	PROPN
fuelectenerg-3307	440	15	)	)	PUNCT
fuelectenerg-3307	440	16	which	which	PRON
fuelectenerg-3307	440	17	is	be	AUX
fuelectenerg-3307	440	18	determined	determine	VERB
fuelectenerg-3307	440	19	in	in	ADP
fuelectenerg-3307	440	20	line	line	NOUN
fuelectenerg-3307	440	21	17	17	NUM
fuelectenerg-3307	440	22	.	.	PUNCT
fuelectenerg-3307	441	1	algorithm	algorithm	NOUN
fuelectenerg-3307	441	2	2	2	NUM
fuelectenerg-3307	441	3	finds	find	VERB
fuelectenerg-3307	441	4	by	by	ADP
fuelectenerg-3307	441	5	condition	condition	NOUN
fuelectenerg-3307	441	6	(	(	PUNCT
fuelectenerg-3307	441	7	14	14	NUM
fuelectenerg-3307	441	8	)	)	PUNCT
fuelectenerg-3307	441	9	in	in	ADP
fuelectenerg-3307	441	10	line	line	NOUN
fuelectenerg-3307	441	11	21	21	NUM
fuelectenerg-3307	441	12	in	in	ADP
fuelectenerg-3307	441	13	the	the	DET
fuelectenerg-3307	441	14	while	while	NOUN
fuelectenerg-3307	441	15	-	-	PUNCT
fuelectenerg-3307	441	16	loop	loop	NOUN
fuelectenerg-3307	441	17	in	in	ADP
fuelectenerg-3307	441	18	lines	line	NOUN
fuelectenerg-3307	441	19	20	20	NUM
fuelectenerg-3307	441	20	to	to	PART
fuelectenerg-3307	441	21	28	28	NUM
fuelectenerg-3307	441	22	that	that	SCONJ
fuelectenerg-3307	441	23	the	the	DET
fuelectenerg-3307	441	24	so	so	ADV
fuelectenerg-3307	441	25	fare	fare	NOUN
fuelectenerg-3307	441	26	detected	detect	VERB
fuelectenerg-3307	441	27	lattice	lattice	NOUN
fuelectenerg-3307	441	28	of	of	ADP
fuelectenerg-3307	441	29	h1	h1	PROPN
fuelectenerg-3307	441	30	contains	contain	VERB
fuelectenerg-3307	441	31	a	a	DET
fuelectenerg-3307	441	32	function	function	NOUN
fuelectenerg-3307	441	33	that	that	PRON
fuelectenerg-3307	441	34	is	be	AUX
fuelectenerg-3307	441	35	linear	linear	ADJ
fuelectenerg-3307	441	36	with	with	ADP
fuelectenerg-3307	441	37	regard	regard	NOUN
fuelectenerg-3307	441	38	to	to	ADP
fuelectenerg-3307	441	39	x2	x2	PROPN
fuelectenerg-3307	441	40	.	.	PUNCT
fuelectenerg-3307	442	1	hence	hence	ADV
fuelectenerg-3307	442	2	,	,	PUNCT
fuelectenerg-3307	442	3	x2	x2	PROPN
fuelectenerg-3307	442	4	is	be	AUX
fuelectenerg-3307	442	5	included	include	VERB
fuelectenerg-3307	442	6	into	into	ADP
fuelectenerg-3307	442	7	the	the	DET
fuelectenerg-3307	442	8	set	set	NOUN
fuelectenerg-3307	442	9	xa	xa	PROPN
fuelectenerg-3307	442	10	in	in	ADP
fuelectenerg-3307	442	11	line	line	NOUN
fuelectenerg-3307	442	12	22	22	NUM
fuelectenerg-3307	442	13	,	,	PUNCT
fuelectenerg-3307	442	14	the	the	DET
fuelectenerg-3307	442	15	new	new	ADJ
fuelectenerg-3307	442	16	function	function	NOUN
fuelectenerg-3307	442	17	g1	g1	PROPN
fuelectenerg-3307	442	18	is	be	AUX
fuelectenerg-3307	442	19	calculated	calculate	VERB
fuelectenerg-3307	442	20	in	in	ADP
fuelectenerg-3307	442	21	lines	line	NOUN
fuelectenerg-3307	442	22	23	23	NUM
fuelectenerg-3307	442	23	and	and	CCONJ
fuelectenerg-3307	442	24	24	24	NUM
fuelectenerg-3307	442	25	using	use	VERB
fuelectenerg-3307	442	26	the	the	DET
fuelectenerg-3307	442	27	basic	basic	ADJ
fuelectenerg-3307	442	28	function	function	NOUN
fuelectenerg-3307	442	29	g′1	g′1	NOUN
fuelectenerg-3307	442	30	(	(	PUNCT
fuelectenerg-3307	442	31	24	24	NUM
fuelectenerg-3307	442	32	):	):	PUNCT
fuelectenerg-3307	442	33	g1(x1,x2,x4	g1(x1,x2,x4	PROPN
fuelectenerg-3307	442	34	)	)	PUNCT
fuelectenerg-3307	443	1	=	=	SYM
fuelectenerg-3307	444	1	x2	x2	PROPN
fuelectenerg-3307	444	2	⊕g′1(x1,x2,x4	⊕g′1(x1,x2,x4	PROPN
fuelectenerg-3307	444	3	)	)	PUNCT
fuelectenerg-3307	444	4	=	=	SYM
fuelectenerg-3307	444	5	x2	x2	PROPN
fuelectenerg-3307	444	6	⊕	⊕	PROPN
fuelectenerg-3307	444	7	(	(	PUNCT
fuelectenerg-3307	444	8	x1	x1	PROPN
fuelectenerg-3307	444	9	∧	∧	PROPN
fuelectenerg-3307	444	10	(	(	PUNCT
fuelectenerg-3307	444	11	x2	x2	PROPN
fuelectenerg-3307	444	12	∧	∧	PROPN
fuelectenerg-3307	444	13	x4	x4	PROPN
fuelectenerg-3307	444	14	)	)	PUNCT
fuelectenerg-3307	444	15	)	)	PUNCT
fuelectenerg-3307	445	1	=	=	PUNCT
fuelectenerg-3307	445	2	(	(	PUNCT
fuelectenerg-3307	445	3	x1	x1	PROPN
fuelectenerg-3307	445	4	⊕	⊕	PROPN
fuelectenerg-3307	445	5	x2)∨	x2)∨	PROPN
fuelectenerg-3307	445	6	(	(	PUNCT
fuelectenerg-3307	445	7	x2	x2	PROPN
fuelectenerg-3307	445	8	∧	∧	PROPN
fuelectenerg-3307	445	9	x4	x4	PROPN
fuelectenerg-3307	445	10	)	)	PUNCT
fuelectenerg-3307	445	11	.	.	PUNCT
fuelectenerg-3307	446	1	(	(	PUNCT
fuelectenerg-3307	446	2	26	26	NUM
fuelectenerg-3307	446	3	)	)	PUNCT
fuelectenerg-3307	446	4	compact	compact	ADJ
fuelectenerg-3307	446	5	xor	xor	PROPN
fuelectenerg-3307	446	6	-	-	PUNCT
fuelectenerg-3307	446	7	bi	bi	NOUN
fuelectenerg-3307	446	8	-	-	NOUN
fuelectenerg-3307	446	9	decomposition	decomposition	NOUN
fuelectenerg-3307	446	10	for	for	ADP
fuelectenerg-3307	446	11	lattices	lattice	NOUN
fuelectenerg-3307	446	12	of	of	ADP
fuelectenerg-3307	446	13	boolean	boolean	ADJ
fuelectenerg-3307	446	14	functions	function	NOUN
fuelectenerg-3307	446	15	15	15	NUM
fuelectenerg-3307	446	16	using	use	VERB
fuelectenerg-3307	446	17	(	(	PUNCT
fuelectenerg-3307	446	18	21	21	NUM
fuelectenerg-3307	446	19	)	)	PUNCT
fuelectenerg-3307	446	20	and	and	CCONJ
fuelectenerg-3307	446	21	(	(	PUNCT
fuelectenerg-3307	446	22	22	22	NUM
fuelectenerg-3307	446	23	)	)	PUNCT
fuelectenerg-3307	446	24	the	the	DET
fuelectenerg-3307	446	25	new	new	ADJ
fuelectenerg-3307	446	26	lattice	lattice	PROPN
fuelectenerg-3307	446	27	l	l	PROPN
fuelectenerg-3307	446	28	〈	〈	PROPN
fuelectenerg-3307	446	29	h1q	h1q	NOUN
fuelectenerg-3307	446	30	,	,	PUNCT
fuelectenerg-3307	446	31	h1r	h1r	ADP
fuelectenerg-3307	446	32	〉	〉	NOUN
fuelectenerg-3307	446	33	is	be	AUX
fuelectenerg-3307	446	34	calculated	calculate	VERB
fuelectenerg-3307	446	35	in	in	ADP
fuelectenerg-3307	446	36	lines	line	NOUN
fuelectenerg-3307	446	37	25	25	NUM
fuelectenerg-3307	446	38	and	and	CCONJ
fuelectenerg-3307	446	39	26	26	NUM
fuelectenerg-3307	446	40	of	of	ADP
fuelectenerg-3307	446	41	algorithm	algorithm	NOUN
fuelectenerg-3307	446	42	2	2	NUM
fuelectenerg-3307	446	43	.	.	PUNCT
fuelectenerg-3307	446	44	due	due	ADP
fuelectenerg-3307	446	45	to	to	ADP
fuelectenerg-3307	446	46	the	the	DET
fuelectenerg-3307	446	47	special	special	ADJ
fuelectenerg-3307	446	48	case	case	NOUN
fuelectenerg-3307	446	49	of	of	ADP
fuelectenerg-3307	446	50	the	the	DET
fuelectenerg-3307	446	51	completely	completely	ADV
fuelectenerg-3307	446	52	specified	specify	VERB
fuelectenerg-3307	446	53	function	function	NOUN
fuelectenerg-3307	446	54	h′1	h′1	NOUN
fuelectenerg-3307	446	55	(	(	PUNCT
fuelectenerg-3307	446	56	25	25	NUM
fuelectenerg-3307	446	57	)	)	PUNCT
fuelectenerg-3307	446	58	the	the	DET
fuelectenerg-3307	446	59	result	result	NOUN
fuelectenerg-3307	446	60	is	be	AUX
fuelectenerg-3307	446	61	also	also	ADV
fuelectenerg-3307	446	62	a	a	DET
fuelectenerg-3307	446	63	completely	completely	ADV
fuelectenerg-3307	446	64	specified	specify	VERB
fuelectenerg-3307	446	65	function	function	NOUN
fuelectenerg-3307	446	66	that	that	PRON
fuelectenerg-3307	446	67	is	be	AUX
fuelectenerg-3307	446	68	calculated	calculate	VERB
fuelectenerg-3307	446	69	by	by	ADP
fuelectenerg-3307	446	70	(	(	PUNCT
fuelectenerg-3307	446	71	21	21	NUM
fuelectenerg-3307	446	72	):	):	PUNCT
fuelectenerg-3307	446	73	h1(x3,x4,x5	h1(x3,x4,x5	NOUN
fuelectenerg-3307	446	74	)	)	PUNCT
fuelectenerg-3307	447	1	=	=	SYM
fuelectenerg-3307	447	2	max	max	PROPN
fuelectenerg-3307	447	3	x2	x2	PROPN
fuelectenerg-3307	447	4	(	(	PUNCT
fuelectenerg-3307	447	5	x2	x2	PROPN
fuelectenerg-3307	447	6	⊕h′1(x2,x3,x4,x5	⊕h′1(x2,x3,x4,x5	PROPN
fuelectenerg-3307	447	7	)	)	PUNCT
fuelectenerg-3307	447	8	)	)	PUNCT
fuelectenerg-3307	447	9	)	)	PUNCT
fuelectenerg-3307	448	1	=	=	SYM
fuelectenerg-3307	448	2	max	max	PROPN
fuelectenerg-3307	448	3	x2	x2	PROPN
fuelectenerg-3307	448	4	(	(	PUNCT
fuelectenerg-3307	448	5	x2	x2	PROPN
fuelectenerg-3307	448	6	⊕	⊕	PROPN
fuelectenerg-3307	448	7	(	(	PUNCT
fuelectenerg-3307	448	8	x3	x3	PROPN
fuelectenerg-3307	448	9	∧	∧	PROPN
fuelectenerg-3307	448	10	(	(	PUNCT
fuelectenerg-3307	448	11	x4	x4	PROPN
fuelectenerg-3307	448	12	⊕	⊕	PROPN
fuelectenerg-3307	448	13	x5))⊕	x5))⊕	PROPN
fuelectenerg-3307	449	1	(	(	PUNCT
fuelectenerg-3307	449	2	x2	x2	PROPN
fuelectenerg-3307	449	3	⊕	⊕	PROPN
fuelectenerg-3307	449	4	x3	x3	ADJ
fuelectenerg-3307	449	5	)	)	PUNCT
fuelectenerg-3307	449	6	)	)	PUNCT
fuelectenerg-3307	450	1	=	=	PRON
fuelectenerg-3307	450	2	(	(	PUNCT
fuelectenerg-3307	450	3	x3	x3	PROPN
fuelectenerg-3307	450	4	∧	∧	PROPN
fuelectenerg-3307	450	5	(	(	PUNCT
fuelectenerg-3307	450	6	x4	x4	PROPN
fuelectenerg-3307	450	7	⊕	⊕	PROPN
fuelectenerg-3307	450	8	x5))⊕	x5))⊕	PROPN
fuelectenerg-3307	451	1	x3	x3	PROPN
fuelectenerg-3307	451	2	=	=	SYM
fuelectenerg-3307	452	1	(	(	PUNCT
fuelectenerg-3307	452	2	x4	x4	PROPN
fuelectenerg-3307	452	3	⊕	⊕	PROPN
fuelectenerg-3307	452	4	x5)∨	x5)∨	NOUN
fuelectenerg-3307	452	5	x3	x3	VERB
fuelectenerg-3307	452	6	.	.	PUNCT
fuelectenerg-3307	453	1	(	(	PUNCT
fuelectenerg-3307	453	2	27	27	NUM
fuelectenerg-3307	453	3	)	)	PUNCT
fuelectenerg-3307	453	4	hence	hence	ADV
fuelectenerg-3307	453	5	,	,	PUNCT
fuelectenerg-3307	453	6	h1(x3,x4,x5	h1(x3,x4,x5	NOUN
fuelectenerg-3307	453	7	)	)	PUNCT
fuelectenerg-3307	453	8	depends	depend	VERB
fuelectenerg-3307	453	9	only	only	ADV
fuelectenerg-3307	453	10	on	on	ADP
fuelectenerg-3307	453	11	three	three	NUM
fuelectenerg-3307	453	12	variables	variable	NOUN
fuelectenerg-3307	453	13	,	,	PUNCT
fuelectenerg-3307	453	14	and	and	CCONJ
fuelectenerg-3307	453	15	the	the	DET
fuelectenerg-3307	453	16	comparison	comparison	NOUN
fuelectenerg-3307	453	17	with	with	ADP
fuelectenerg-3307	453	18	g1(x1,x2,x4	g1(x1,x2,x4	NOUN
fuelectenerg-3307	453	19	)	)	PUNCT
fuelectenerg-3307	453	20	confirms	confirm	VERB
fuelectenerg-3307	453	21	that	that	SCONJ
fuelectenerg-3307	453	22	only	only	ADV
fuelectenerg-3307	453	23	the	the	DET
fuelectenerg-3307	453	24	variable	variable	NOUN
fuelectenerg-3307	453	25	x4	x4	PROPN
fuelectenerg-3307	453	26	is	be	AUX
fuelectenerg-3307	453	27	shared	share	VERB
fuelectenerg-3307	453	28	.	.	PUNCT
fuelectenerg-3307	454	1	in	in	ADP
fuelectenerg-3307	454	2	this	this	DET
fuelectenerg-3307	454	3	way	way	NOUN
fuelectenerg-3307	454	4	the	the	DET
fuelectenerg-3307	454	5	single	single	ADJ
fuelectenerg-3307	454	6	variable	variable	NOUN
fuelectenerg-3307	454	7	of	of	ADP
fuelectenerg-3307	454	8	the	the	DET
fuelectenerg-3307	454	9	dedicated	dedicated	ADJ
fuelectenerg-3307	454	10	set	set	NOUN
fuelectenerg-3307	454	11	xa	xa	PROPN
fuelectenerg-3307	454	12	is	be	AUX
fuelectenerg-3307	454	13	implicitly	implicitly	ADV
fuelectenerg-3307	454	14	extended	extend	VERB
fuelectenerg-3307	454	15	to	to	ADP
fuelectenerg-3307	454	16	xa	xa	PROPN
fuelectenerg-3307	454	17	=	=	SYM
fuelectenerg-3307	454	18	(	(	PUNCT
fuelectenerg-3307	454	19	x1,x2	x1,x2	PROPN
fuelectenerg-3307	454	20	)	)	PUNCT
fuelectenerg-3307	454	21	.	.	PUNCT
fuelectenerg-3307	455	1	algorithm	algorithm	NOUN
fuelectenerg-3307	455	2	2	2	NUM
fuelectenerg-3307	455	3	explicitly	explicitly	ADV
fuelectenerg-3307	455	4	realizes	realize	VERB
fuelectenerg-3307	455	5	this	this	DET
fuelectenerg-3307	455	6	extension	extension	NOUN
fuelectenerg-3307	455	7	in	in	ADP
fuelectenerg-3307	455	8	line	line	NOUN
fuelectenerg-3307	455	9	22	22	NUM
fuelectenerg-3307	455	10	using	use	VERB
fuelectenerg-3307	455	11	the	the	DET
fuelectenerg-3307	455	12	xboole	xboole	PROPN
fuelectenerg-3307	455	13	operation	operation	NOUN
fuelectenerg-3307	455	14	sv	sv	PROPN
fuelectenerg-3307	455	15	uni	uni	PROPN
fuelectenerg-3307	455	16	(	(	PUNCT
fuelectenerg-3307	455	17	set	set	NOUN
fuelectenerg-3307	455	18	of	of	ADP
fuelectenerg-3307	455	19	variables	variable	NOUN
fuelectenerg-3307	455	20	union	union	PROPN
fuelectenerg-3307	455	21	)	)	PUNCT
fuelectenerg-3307	455	22	.	.	PUNCT
fuelectenerg-3307	456	1	the	the	DET
fuelectenerg-3307	456	2	expressions	expression	NOUN
fuelectenerg-3307	456	3	(	(	PUNCT
fuelectenerg-3307	456	4	26	26	NUM
fuelectenerg-3307	456	5	)	)	PUNCT
fuelectenerg-3307	456	6	and	and	CCONJ
fuelectenerg-3307	456	7	(	(	PUNCT
fuelectenerg-3307	456	8	27	27	NUM
fuelectenerg-3307	456	9	)	)	PUNCT
fuelectenerg-3307	456	10	show	show	VERB
fuelectenerg-3307	456	11	that	that	SCONJ
fuelectenerg-3307	456	12	there	there	PRON
fuelectenerg-3307	456	13	are	be	VERB
fuelectenerg-3307	456	14	or	or	CCONJ
fuelectenerg-3307	456	15	-	-	PUNCT
fuelectenerg-3307	456	16	bi	bi	NOUN
fuelectenerg-3307	456	17	-	-	NOUN
fuelectenerg-3307	456	18	decompositions	decomposition	NOUN
fuelectenerg-3307	456	19	for	for	ADP
fuelectenerg-3307	456	20	both	both	DET
fuelectenerg-3307	456	21	decomposition	decomposition	NOUN
fuelectenerg-3307	456	22	functions	function	NOUN
fuelectenerg-3307	456	23	g1	g1	NOUN
fuelectenerg-3307	456	24	and	and	CCONJ
fuelectenerg-3307	456	25	h1	h1	PROPN
fuelectenerg-3307	456	26	.	.	PUNCT
fuelectenerg-3307	457	1	figure	figure	NOUN
fuelectenerg-3307	457	2	4	4	NUM
fuelectenerg-3307	457	3	shows	show	VERB
fuelectenerg-3307	457	4	that	that	SCONJ
fuelectenerg-3307	457	5	the	the	DET
fuelectenerg-3307	457	6	circuit	circuit	NOUN
fuelectenerg-3307	457	7	structure	structure	NOUN
fuelectenerg-3307	457	8	,	,	PUNCT
fuelectenerg-3307	457	9	realized	realize	VERB
fuelectenerg-3307	457	10	be	be	AUX
fuelectenerg-3307	457	11	means	mean	NOUN
fuelectenerg-3307	457	12	of	of	ADP
fuelectenerg-3307	457	13	the	the	DET
fuelectenerg-3307	457	14	new	new	ADJ
fuelectenerg-3307	457	15	method	method	NOUN
fuelectenerg-3307	457	16	,	,	PUNCT
fuelectenerg-3307	457	17	only	only	ADV
fuelectenerg-3307	457	18	needs	need	VERB
fuelectenerg-3307	457	19	six	six	NUM
fuelectenerg-3307	457	20	gates	gate	NOUN
fuelectenerg-3307	457	21	on	on	ADP
fuelectenerg-3307	457	22	three	three	NUM
fuelectenerg-3307	457	23	levels	level	NOUN
fuelectenerg-3307	457	24	.	.	PUNCT
fuelectenerg-3307	458	1	5.5	5.5	NUM
fuelectenerg-3307	458	2	comparison	comparison	NOUN
fuelectenerg-3307	458	3	of	of	ADP
fuelectenerg-3307	458	4	the	the	DET
fuelectenerg-3307	458	5	synthesis	synthesis	NOUN
fuelectenerg-3307	458	6	results	result	NOUN
fuelectenerg-3307	458	7	table	table	NOUN
fuelectenerg-3307	458	8	1	1	NUM
fuelectenerg-3307	458	9	summarizes	summarize	VERB
fuelectenerg-3307	458	10	the	the	DET
fuelectenerg-3307	458	11	results	result	NOUN
fuelectenerg-3307	458	12	of	of	ADP
fuelectenerg-3307	458	13	the	the	DET
fuelectenerg-3307	458	14	synthesis	synthesis	NOUN
fuelectenerg-3307	458	15	of	of	ADP
fuelectenerg-3307	458	16	the	the	DET
fuelectenerg-3307	458	17	given	give	VERB
fuelectenerg-3307	458	18	lattice	lattice	NOUN
fuelectenerg-3307	458	19	of	of	ADP
fuelectenerg-3307	458	20	boolean	boolean	ADJ
fuelectenerg-3307	458	21	functions	function	NOUN
fuelectenerg-3307	458	22	realized	realize	VERB
fuelectenerg-3307	458	23	by	by	ADP
fuelectenerg-3307	458	24	:	:	PUNCT
fuelectenerg-3307	458	25	•	•	ADP
fuelectenerg-3307	458	26	the	the	DET
fuelectenerg-3307	458	27	covering	covering	NOUN
fuelectenerg-3307	458	28	method	method	NOUN
fuelectenerg-3307	458	29	using	use	VERB
fuelectenerg-3307	458	30	the	the	DET
fuelectenerg-3307	458	31	quine	quine	PROPN
fuelectenerg-3307	458	32	mccluskey	mccluskey	PROPN
fuelectenerg-3307	458	33	approach	approach	NOUN
fuelectenerg-3307	458	34	to	to	PART
fuelectenerg-3307	458	35	get	get	VERB
fuelectenerg-3307	458	36	a	a	DET
fuelectenerg-3307	458	37	minimal	minimal	ADJ
fuelectenerg-3307	458	38	disjunctive	disjunctive	ADJ
fuelectenerg-3307	458	39	form	form	NOUN
fuelectenerg-3307	458	40	which	which	PRON
fuelectenerg-3307	458	41	has	have	AUX
fuelectenerg-3307	458	42	been	be	AUX
fuelectenerg-3307	458	43	split	split	VERB
fuelectenerg-3307	458	44	into	into	ADP
fuelectenerg-3307	458	45	two	two	NUM
fuelectenerg-3307	458	46	-	-	PUNCT
fuelectenerg-3307	458	47	input	input	NOUN
fuelectenerg-3307	458	48	gates	gate	NOUN
fuelectenerg-3307	458	49	that	that	PRON
fuelectenerg-3307	458	50	are	be	AUX
fuelectenerg-3307	458	51	reused	reuse	VERB
fuelectenerg-3307	458	52	as	as	ADV
fuelectenerg-3307	458	53	much	much	ADJ
fuelectenerg-3307	458	54	as	as	ADP
fuelectenerg-3307	458	55	possible	possible	ADJ
fuelectenerg-3307	458	56	;	;	PUNCT
fuelectenerg-3307	458	57	•	•	ADP
fuelectenerg-3307	458	58	the	the	DET
fuelectenerg-3307	458	59	bi	bi	ADJ
fuelectenerg-3307	458	60	-	-	ADJ
fuelectenerg-3307	458	61	decomposition	decomposition	NOUN
fuelectenerg-3307	458	62	method	method	NOUN
fuelectenerg-3307	458	63	where	where	SCONJ
fuelectenerg-3307	458	64	the	the	DET
fuelectenerg-3307	458	65	known	know	VERB
fuelectenerg-3307	458	66	xor	xor	PROPN
fuelectenerg-3307	458	67	-	-	PUNCT
fuelectenerg-3307	458	68	bi	bi	NOUN
fuelectenerg-3307	458	69	-	-	NOUN
fuelectenerg-3307	458	70	decomposition	decomposition	NOUN
fuelectenerg-3307	458	71	of	of	ADP
fuelectenerg-3307	458	72	a	a	DET
fuelectenerg-3307	458	73	lattice	lattice	NOUN
fuelectenerg-3307	458	74	is	be	AUX
fuelectenerg-3307	458	75	restricted	restrict	VERB
fuelectenerg-3307	458	76	to	to	ADP
fuelectenerg-3307	458	77	the	the	DET
fuelectenerg-3307	458	78	assignment	assignment	NOUN
fuelectenerg-3307	458	79	of	of	ADP
fuelectenerg-3307	458	80	a	a	DET
fuelectenerg-3307	458	81	single	single	ADJ
fuelectenerg-3307	458	82	variable	variable	NOUN
fuelectenerg-3307	458	83	to	to	ADP
fuelectenerg-3307	458	84	the	the	DET
fuelectenerg-3307	458	85	dedicated	dedicated	ADJ
fuelectenerg-3307	458	86	set	set	NOUN
fuelectenerg-3307	458	87	xa	xa	PROPN
fuelectenerg-3307	458	88	;	;	PUNCT
fuelectenerg-3307	458	89	•	•	ADP
fuelectenerg-3307	458	90	the	the	DET
fuelectenerg-3307	458	91	bi	bi	ADJ
fuelectenerg-3307	458	92	-	-	ADJ
fuelectenerg-3307	458	93	decomposition	decomposition	NOUN
fuelectenerg-3307	458	94	method	method	NOUN
fuelectenerg-3307	458	95	using	use	VERB
fuelectenerg-3307	458	96	the	the	DET
fuelectenerg-3307	458	97	new	new	ADJ
fuelectenerg-3307	458	98	xor	xor	PROPN
fuelectenerg-3307	458	99	-	-	PUNCT
fuelectenerg-3307	458	100	bi	bi	NOUN
fuelectenerg-3307	458	101	-	-	NOUN
fuelectenerg-3307	458	102	decomposition	decomposition	NOUN
fuelectenerg-3307	458	103	for	for	ADP
fuelectenerg-3307	458	104	a	a	DET
fuelectenerg-3307	458	105	lattice	lattice	NOUN
fuelectenerg-3307	458	106	that	that	PRON
fuelectenerg-3307	458	107	is	be	AUX
fuelectenerg-3307	458	108	able	able	ADJ
fuelectenerg-3307	458	109	to	to	PART
fuelectenerg-3307	458	110	realize	realize	VERB
fuelectenerg-3307	458	111	a	a	DET
fuelectenerg-3307	458	112	compact	compact	ADJ
fuelectenerg-3307	458	113	xor	xor	PROPN
fuelectenerg-3307	458	114	-	-	PUNCT
fuelectenerg-3307	458	115	bi	bi	NOUN
fuelectenerg-3307	458	116	-	-	NOUN
fuelectenerg-3307	458	117	decomposition	decomposition	NOUN
fuelectenerg-3307	458	118	.	.	PUNCT
fuelectenerg-3307	459	1	both	both	CCONJ
fuelectenerg-3307	459	2	the	the	DET
fuelectenerg-3307	459	3	needed	needed	ADJ
fuelectenerg-3307	459	4	area	area	NOUN
fuelectenerg-3307	459	5	and	and	CCONJ
fuelectenerg-3307	459	6	the	the	DET
fuelectenerg-3307	459	7	power	power	NOUN
fuelectenerg-3307	459	8	consumption	consumption	NOUN
fuelectenerg-3307	459	9	are	be	AUX
fuelectenerg-3307	459	10	estimated	estimate	VERB
fuelectenerg-3307	459	11	by	by	ADP
fuelectenerg-3307	459	12	the	the	DET
fuelectenerg-3307	459	13	number	number	NOUN
fuelectenerg-3307	459	14	of	of	ADP
fuelectenerg-3307	459	15	gates	gate	NOUN
fuelectenerg-3307	459	16	.	.	PUNCT
fuelectenerg-3307	460	1	the	the	DET
fuelectenerg-3307	460	2	benefit	benefit	NOUN
fuelectenerg-3307	460	3	of	of	ADP
fuelectenerg-3307	460	4	the	the	DET
fuelectenerg-3307	460	5	bi	bi	NOUN
fuelectenerg-3307	460	6	-	-	NOUN
fuelectenerg-3307	460	7	decomposition	decomposition	NOUN
fuelectenerg-3307	460	8	in	in	ADP
fuelectenerg-3307	460	9	comparison	comparison	NOUN
fuelectenerg-3307	460	10	to	to	ADP
fuelectenerg-3307	460	11	the	the	DET
fuelectenerg-3307	460	12	covering	covering	NOUN
fuelectenerg-3307	460	13	method	method	NOUN
fuelectenerg-3307	460	14	is	be	AUX
fuelectenerg-3307	460	15	evident	evident	ADJ
fuelectenerg-3307	460	16	;	;	PUNCT
fuelectenerg-3307	460	17	the	the	DET
fuelectenerg-3307	460	18	number	number	NOUN
fuelectenerg-3307	460	19	of	of	ADP
fuelectenerg-3307	460	20	gates	gate	NOUN
fuelectenerg-3307	460	21	could	could	AUX
fuelectenerg-3307	460	22	be	be	AUX
fuelectenerg-3307	460	23	reduced	reduce	VERB
fuelectenerg-3307	460	24	,	,	PUNCT
fuelectenerg-3307	460	25	despite	despite	SCONJ
fuelectenerg-3307	460	26	the	the	DET
fuelectenerg-3307	460	27	seven	seven	NUM
fuelectenerg-3307	460	28	reused	reuse	VERB
fuelectenerg-3307	460	29	gates	gate	NOUN
fuelectenerg-3307	460	30	in	in	ADP
fuelectenerg-3307	460	31	the	the	DET
fuelectenerg-3307	460	32	covering	covering	NOUN
fuelectenerg-3307	460	33	approach	approach	NOUN
fuelectenerg-3307	460	34	,	,	PUNCT
fuelectenerg-3307	460	35	from	from	ADP
fuelectenerg-3307	460	36	25	25	NUM
fuelectenerg-3307	460	37	to	to	PART
fuelectenerg-3307	460	38	seven	seven	NUM
fuelectenerg-3307	460	39	in	in	ADP
fuelectenerg-3307	460	40	case	case	NOUN
fuelectenerg-3307	460	41	of	of	ADP
fuelectenerg-3307	460	42	the	the	DET
fuelectenerg-3307	460	43	known	know	VERB
fuelectenerg-3307	460	44	bi	bi	NOUN
fuelectenerg-3307	460	45	-	-	NOUN
fuelectenerg-3307	460	46	decomposition	decomposition	NOUN
fuelectenerg-3307	460	47	and	and	CCONJ
fuelectenerg-3307	460	48	even	even	ADV
fuelectenerg-3307	460	49	to	to	ADP
fuelectenerg-3307	460	50	six	six	NUM
fuelectenerg-3307	460	51	when	when	SCONJ
fuelectenerg-3307	460	52	the	the	DET
fuelectenerg-3307	460	53	new	new	ADJ
fuelectenerg-3307	460	54	compact	compact	ADJ
fuelectenerg-3307	460	55	xor	xor	PROPN
fuelectenerg-3307	460	56	-	-	PUNCT
fuelectenerg-3307	460	57	bi	bi	NOUN
fuelectenerg-3307	460	58	-	-	NOUN
fuelectenerg-3307	460	59	decomposition	decomposition	NOUN
fuelectenerg-3307	460	60	is	be	AUX
fuelectenerg-3307	460	61	used	use	VERB
fuelectenerg-3307	460	62	.	.	PUNCT
fuelectenerg-3307	461	1	this	this	PRON
fuelectenerg-3307	461	2	is	be	AUX
fuelectenerg-3307	461	3	a	a	DET
fuelectenerg-3307	461	4	reduction	reduction	NOUN
fuelectenerg-3307	461	5	to	to	ADP
fuelectenerg-3307	461	6	24	24	NUM
fuelectenerg-3307	461	7	%	%	NOUN
fuelectenerg-3307	461	8	of	of	ADP
fuelectenerg-3307	461	9	the	the	DET
fuelectenerg-3307	461	10	needed	need	VERB
fuelectenerg-3307	461	11	area	area	NOUN
fuelectenerg-3307	461	12	as	as	ADV
fuelectenerg-3307	461	13	well	well	ADV
fuelectenerg-3307	461	14	as	as	ADP
fuelectenerg-3307	461	15	the	the	DET
fuelectenerg-3307	461	16	power	power	NOUN
fuelectenerg-3307	461	17	consumption	consumption	NOUN
fuelectenerg-3307	461	18	of	of	ADP
fuelectenerg-3307	461	19	the	the	DET
fuelectenerg-3307	461	20	new	new	ADJ
fuelectenerg-3307	461	21	236	236	NUM
fuelectenerg-3307	461	22	b.	b.	PROPN
fuelectenerg-3307	461	23	steinbach	steinbach	PROPN
fuelectenerg-3307	461	24	,	,	PUNCT
fuelectenerg-3307	461	25	c.	c.	PROPN
fuelectenerg-3307	461	26	posthoff	posthoff	PROPN
fuelectenerg-3307	461	27	compact	compact	ADJ
fuelectenerg-3307	461	28	xor	xor	PROPN
fuelectenerg-3307	461	29	-	-	PUNCT
fuelectenerg-3307	461	30	bi	bi	NOUN
fuelectenerg-3307	461	31	-	-	NOUN
fuelectenerg-3307	461	32	decomposition	decomposition	NOUN
fuelectenerg-3307	461	33	for	for	ADP
fuelectenerg-3307	461	34	lattices	lattice	NOUN
fuelectenerg-3307	461	35	of	of	ADP
fuelectenerg-3307	461	36	boolean	boolean	ADJ
fuelectenerg-3307	461	37	functions	function	NOUN
fuelectenerg-3307	461	38	237	237	NUM
fuelectenerg-3307	461	39	16	16	NUM
fuelectenerg-3307	461	40	b.	b.	PROPN
fuelectenerg-3307	461	41	steinbach	steinbach	PROPN
fuelectenerg-3307	461	42	and	and	CCONJ
fuelectenerg-3307	461	43	c.	c.	PROPN
fuelectenerg-3307	461	44	posthoff	posthoff	PROPN
fuelectenerg-3307	461	45	:	:	PUNCT
fuelectenerg-3307	461	46	table	table	NOUN
fuelectenerg-3307	461	47	1	1	NUM
fuelectenerg-3307	461	48	.	.	PUNCT
fuelectenerg-3307	461	49	comparison	comparison	NOUN
fuelectenerg-3307	461	50	of	of	ADP
fuelectenerg-3307	461	51	needed	needed	ADJ
fuelectenerg-3307	461	52	area	area	NOUN
fuelectenerg-3307	461	53	,	,	PUNCT
fuelectenerg-3307	461	54	power	power	NOUN
fuelectenerg-3307	461	55	consumption	consumption	NOUN
fuelectenerg-3307	461	56	,	,	PUNCT
fuelectenerg-3307	461	57	and	and	CCONJ
fuelectenerg-3307	461	58	maximal	maximal	ADJ
fuelectenerg-3307	461	59	delay	delay	NOUN
fuelectenerg-3307	461	60	effect	effect	NOUN
fuelectenerg-3307	461	61	to	to	ADP
fuelectenerg-3307	461	62	used	use	VERB
fuelectenerg-3307	461	63	count	count	NOUN
fuelectenerg-3307	461	64	covering	covering	NOUN
fuelectenerg-3307	461	65	method	method	NOUN
fuelectenerg-3307	461	66	used	use	VERB
fuelectenerg-3307	461	67	xor	xor	PROPN
fuelectenerg-3307	461	68	-	-	PUNCT
fuelectenerg-3307	461	69	bi	bi	ADJ
fuelectenerg-3307	461	70	-	-	ADJ
fuelectenerg-3307	461	71	decomposition	decomposition	NOUN
fuelectenerg-3307	461	72	ratios	ratio	NOUN
fuelectenerg-3307	461	73	known	know	VERB
fuelectenerg-3307	461	74	new	new	ADJ
fuelectenerg-3307	461	75	compact	compact	ADJ
fuelectenerg-3307	461	76	new	new	ADJ
fuelectenerg-3307	461	77	compact	compact	ADJ
fuelectenerg-3307	461	78	covering	cover	VERB
fuelectenerg-3307	461	79	new	new	ADJ
fuelectenerg-3307	461	80	compact	compact	ADJ
fuelectenerg-3307	461	81	known	know	VERB
fuelectenerg-3307	461	82	area	area	NOUN
fuelectenerg-3307	461	83	number	number	NOUN
fuelectenerg-3307	461	84	of	of	ADP
fuelectenerg-3307	461	85	gates	gate	NOUN
fuelectenerg-3307	461	86	25	25	NUM
fuelectenerg-3307	461	87	7	7	NUM
fuelectenerg-3307	461	88	6	6	NUM
fuelectenerg-3307	461	89	24.0	24.0	NUM
fuelectenerg-3307	461	90	%	%	NOUN
fuelectenerg-3307	461	91	85.7	85.7	NUM
fuelectenerg-3307	461	92	%	%	NOUN
fuelectenerg-3307	461	93	power	power	NOUN
fuelectenerg-3307	461	94	number	number	NOUN
fuelectenerg-3307	461	95	of	of	ADP
fuelectenerg-3307	461	96	gates	gate	NOUN
fuelectenerg-3307	461	97	25	25	NUM
fuelectenerg-3307	461	98	7	7	NUM
fuelectenerg-3307	461	99	6	6	NUM
fuelectenerg-3307	461	100	24.0	24.0	NUM
fuelectenerg-3307	461	101	%	%	NOUN
fuelectenerg-3307	461	102	85.7	85.7	NUM
fuelectenerg-3307	461	103	%	%	NOUN
fuelectenerg-3307	461	104	delay	delay	NOUN
fuelectenerg-3307	461	105	number	number	NOUN
fuelectenerg-3307	461	106	of	of	ADP
fuelectenerg-3307	461	107	gates	gate	NOUN
fuelectenerg-3307	461	108	in	in	ADP
fuelectenerg-3307	461	109	the	the	DET
fuelectenerg-3307	461	110	longest	long	ADJ
fuelectenerg-3307	461	111	path	path	NOUN
fuelectenerg-3307	461	112	6	6	NUM
fuelectenerg-3307	461	113	4	4	NUM
fuelectenerg-3307	461	114	3	3	NUM
fuelectenerg-3307	461	115	50.0	50.0	NUM
fuelectenerg-3307	461	116	%	%	NOUN
fuelectenerg-3307	461	117	75.0	75.0	NUM
fuelectenerg-3307	461	118	%	%	NOUN
fuelectenerg-3307	461	119	compact	compact	ADJ
fuelectenerg-3307	461	120	xor	xor	PROPN
fuelectenerg-3307	461	121	-	-	PUNCT
fuelectenerg-3307	461	122	bi	bi	NOUN
fuelectenerg-3307	461	123	-	-	NOUN
fuelectenerg-3307	461	124	decomposition	decomposition	NOUN
fuelectenerg-3307	461	125	in	in	ADP
fuelectenerg-3307	461	126	comparison	comparison	NOUN
fuelectenerg-3307	461	127	to	to	ADP
fuelectenerg-3307	461	128	the	the	DET
fuelectenerg-3307	461	129	covering	covering	NOUN
fuelectenerg-3307	461	130	method	method	NOUN
fuelectenerg-3307	461	131	or	or	CCONJ
fuelectenerg-3307	461	132	to	to	ADP
fuelectenerg-3307	461	133	85.7	85.7	NUM
fuelectenerg-3307	461	134	%	%	NOUN
fuelectenerg-3307	461	135	regarding	regard	VERB
fuelectenerg-3307	461	136	the	the	DET
fuelectenerg-3307	461	137	so	so	ADV
fuelectenerg-3307	461	138	far	far	ADV
fuelectenerg-3307	461	139	used	use	VERB
fuelectenerg-3307	461	140	non	non	ADJ
fuelectenerg-3307	461	141	-	-	ADJ
fuelectenerg-3307	461	142	compact	compact	ADJ
fuelectenerg-3307	461	143	xor	xor	PROPN
fuelectenerg-3307	461	144	-	-	PUNCT
fuelectenerg-3307	461	145	bi	bi	NOUN
fuelectenerg-3307	461	146	-	-	NOUN
fuelectenerg-3307	461	147	decomposition	decomposition	NOUN
fuelectenerg-3307	461	148	.	.	PUNCT
fuelectenerg-3307	462	1	the	the	DET
fuelectenerg-3307	462	2	maximal	maximal	ADJ
fuelectenerg-3307	462	3	delay	delay	NOUN
fuelectenerg-3307	462	4	of	of	ADP
fuelectenerg-3307	462	5	the	the	DET
fuelectenerg-3307	462	6	synthesized	synthesize	VERB
fuelectenerg-3307	462	7	circuit	circuit	NOUN
fuelectenerg-3307	462	8	can	can	AUX
fuelectenerg-3307	462	9	be	be	AUX
fuelectenerg-3307	462	10	estimated	estimate	VERB
fuelectenerg-3307	462	11	by	by	ADP
fuelectenerg-3307	462	12	the	the	DET
fuelectenerg-3307	462	13	number	number	NOUN
fuelectenerg-3307	462	14	of	of	ADP
fuelectenerg-3307	462	15	gates	gate	NOUN
fuelectenerg-3307	462	16	in	in	ADP
fuelectenerg-3307	462	17	the	the	DET
fuelectenerg-3307	462	18	longest	long	ADJ
fuelectenerg-3307	462	19	path	path	NOUN
fuelectenerg-3307	462	20	that	that	PRON
fuelectenerg-3307	462	21	is	be	AUX
fuelectenerg-3307	462	22	equal	equal	ADJ
fuelectenerg-3307	462	23	to	to	ADP
fuelectenerg-3307	462	24	the	the	DET
fuelectenerg-3307	462	25	number	number	NOUN
fuelectenerg-3307	462	26	of	of	ADP
fuelectenerg-3307	462	27	gate	gate	NOUN
fuelectenerg-3307	462	28	levels	level	NOUN
fuelectenerg-3307	462	29	.	.	PUNCT
fuelectenerg-3307	463	1	the	the	DET
fuelectenerg-3307	463	2	bidecomposition	bidecomposition	NOUN
fuelectenerg-3307	463	3	outperforms	outperform	VERB
fuelectenerg-3307	463	4	the	the	DET
fuelectenerg-3307	463	5	covering	covering	NOUN
fuelectenerg-3307	463	6	method	method	NOUN
fuelectenerg-3307	463	7	also	also	ADV
fuelectenerg-3307	463	8	regarding	regard	VERB
fuelectenerg-3307	463	9	the	the	DET
fuelectenerg-3307	463	10	maximal	maximal	ADJ
fuelectenerg-3307	463	11	delay	delay	NOUN
fuelectenerg-3307	463	12	.	.	PUNCT
fuelectenerg-3307	464	1	the	the	DET
fuelectenerg-3307	464	2	new	new	ADJ
fuelectenerg-3307	464	3	compact	compact	ADJ
fuelectenerg-3307	464	4	xor	xor	PROPN
fuelectenerg-3307	464	5	-	-	PUNCT
fuelectenerg-3307	464	6	bi	bi	NOUN
fuelectenerg-3307	464	7	-	-	NOUN
fuelectenerg-3307	464	8	decomposition	decomposition	NOUN
fuelectenerg-3307	464	9	was	be	AUX
fuelectenerg-3307	464	10	able	able	ADJ
fuelectenerg-3307	464	11	to	to	PART
fuelectenerg-3307	464	12	reduce	reduce	VERB
fuelectenerg-3307	464	13	the	the	DET
fuelectenerg-3307	464	14	maximal	maximal	ADJ
fuelectenerg-3307	464	15	delay	delay	NOUN
fuelectenerg-3307	464	16	to	to	ADP
fuelectenerg-3307	464	17	one	one	NUM
fuelectenerg-3307	464	18	half	half	NOUN
fuelectenerg-3307	464	19	in	in	ADP
fuelectenerg-3307	464	20	comparison	comparison	NOUN
fuelectenerg-3307	464	21	to	to	ADP
fuelectenerg-3307	464	22	the	the	DET
fuelectenerg-3307	464	23	covering	covering	NOUN
fuelectenerg-3307	464	24	method	method	NOUN
fuelectenerg-3307	464	25	or	or	CCONJ
fuelectenerg-3307	464	26	75	75	NUM
fuelectenerg-3307	464	27	%	%	NOUN
fuelectenerg-3307	464	28	according	accord	VERB
fuelectenerg-3307	464	29	to	to	ADP
fuelectenerg-3307	464	30	the	the	DET
fuelectenerg-3307	464	31	known	known	ADJ
fuelectenerg-3307	464	32	non	non	ADJ
fuelectenerg-3307	464	33	-	-	ADJ
fuelectenerg-3307	464	34	compact	compact	ADJ
fuelectenerg-3307	464	35	xor	xor	PROPN
fuelectenerg-3307	464	36	-	-	PUNCT
fuelectenerg-3307	464	37	bi	bi	NOUN
fuelectenerg-3307	464	38	-	-	NOUN
fuelectenerg-3307	464	39	decomposition	decomposition	NOUN
fuelectenerg-3307	464	40	.	.	PUNCT
fuelectenerg-3307	465	1	6	6	NUM
fuelectenerg-3307	465	2	conclusions	conclusion	NOUN
fuelectenerg-3307	465	3	lattices	lattice	NOUN
fuelectenerg-3307	465	4	of	of	ADP
fuelectenerg-3307	465	5	boolean	boolean	ADJ
fuelectenerg-3307	465	6	functions	function	NOUN
fuelectenerg-3307	465	7	provide	provide	VERB
fuelectenerg-3307	465	8	the	the	DET
fuelectenerg-3307	465	9	possibility	possibility	NOUN
fuelectenerg-3307	465	10	to	to	PART
fuelectenerg-3307	465	11	choose	choose	VERB
fuelectenerg-3307	465	12	the	the	DET
fuelectenerg-3307	465	13	function	function	NOUN
fuelectenerg-3307	465	14	for	for	ADP
fuelectenerg-3307	465	15	which	which	PRON
fuelectenerg-3307	465	16	the	the	DET
fuelectenerg-3307	465	17	circuit	circuit	NOUN
fuelectenerg-3307	465	18	needs	need	VERB
fuelectenerg-3307	465	19	a	a	DET
fuelectenerg-3307	465	20	small	small	ADJ
fuelectenerg-3307	465	21	area	area	NOUN
fuelectenerg-3307	465	22	,	,	PUNCT
fuelectenerg-3307	465	23	a	a	DET
fuelectenerg-3307	465	24	low	low	ADJ
fuelectenerg-3307	465	25	power	power	NOUN
fuelectenerg-3307	465	26	consumption	consumption	NOUN
fuelectenerg-3307	465	27	,	,	PUNCT
fuelectenerg-3307	465	28	and	and	CCONJ
fuelectenerg-3307	465	29	has	have	VERB
fuelectenerg-3307	465	30	a	a	DET
fuelectenerg-3307	465	31	short	short	ADJ
fuelectenerg-3307	465	32	delay	delay	NOUN
fuelectenerg-3307	465	33	time	time	NOUN
fuelectenerg-3307	465	34	.	.	PUNCT
fuelectenerg-3307	466	1	the	the	DET
fuelectenerg-3307	466	2	bi	bi	NOUN
fuelectenerg-3307	466	3	-	-	NOUN
fuelectenerg-3307	466	4	decomposition	decomposition	NOUN
fuelectenerg-3307	466	5	is	be	AUX
fuelectenerg-3307	466	6	a	a	DET
fuelectenerg-3307	466	7	very	very	ADV
fuelectenerg-3307	466	8	powerful	powerful	ADJ
fuelectenerg-3307	466	9	method	method	NOUN
fuelectenerg-3307	466	10	to	to	PART
fuelectenerg-3307	466	11	synthesize	synthesize	VERB
fuelectenerg-3307	466	12	circuits	circuit	NOUN
fuelectenerg-3307	466	13	that	that	PRON
fuelectenerg-3307	466	14	improve	improve	VERB
fuelectenerg-3307	466	15	these	these	DET
fuelectenerg-3307	466	16	parameters	parameter	NOUN
fuelectenerg-3307	466	17	in	in	ADP
fuelectenerg-3307	466	18	comparison	comparison	NOUN
fuelectenerg-3307	466	19	to	to	ADP
fuelectenerg-3307	466	20	covering	cover	VERB
fuelectenerg-3307	466	21	methods	method	NOUN
fuelectenerg-3307	466	22	.	.	PUNCT
fuelectenerg-3307	467	1	the	the	DET
fuelectenerg-3307	467	2	theory	theory	NOUN
fuelectenerg-3307	467	3	to	to	PART
fuelectenerg-3307	467	4	find	find	VERB
fuelectenerg-3307	467	5	compact	compact	ADJ
fuelectenerg-3307	467	6	strong	strong	ADJ
fuelectenerg-3307	467	7	bi	bi	NOUN
fuelectenerg-3307	467	8	-	-	NOUN
fuelectenerg-3307	467	9	decompositions	decomposition	NOUN
fuelectenerg-3307	467	10	was	be	AUX
fuelectenerg-3307	467	11	so	so	ADV
fuelectenerg-3307	467	12	far	far	ADV
fuelectenerg-3307	467	13	only	only	ADV
fuelectenerg-3307	467	14	known	know	VERB
fuelectenerg-3307	467	15	for	for	ADP
fuelectenerg-3307	467	16	andand	andand	NOUN
fuelectenerg-3307	467	17	orgates	orgate	NOUN
fuelectenerg-3307	467	18	.	.	PUNCT
fuelectenerg-3307	468	1	however	however	ADV
fuelectenerg-3307	468	2	,	,	PUNCT
fuelectenerg-3307	468	3	strong	strong	ADJ
fuelectenerg-3307	468	4	xor	xor	PROPN
fuelectenerg-3307	468	5	-	-	PUNCT
fuelectenerg-3307	468	6	bi	bi	NOUN
fuelectenerg-3307	468	7	-	-	PUNCT
fuelectenerg-3307	468	8	decompositions	decomposition	NOUN
fuelectenerg-3307	468	9	were	be	AUX
fuelectenerg-3307	468	10	restricted	restrict	VERB
fuelectenerg-3307	468	11	to	to	ADP
fuelectenerg-3307	468	12	a	a	DET
fuelectenerg-3307	468	13	single	single	ADJ
fuelectenerg-3307	468	14	variable	variable	NOUN
fuelectenerg-3307	468	15	in	in	ADP
fuelectenerg-3307	468	16	the	the	DET
fuelectenerg-3307	468	17	dedicated	dedicated	ADJ
fuelectenerg-3307	468	18	set	set	NOUN
fuelectenerg-3307	468	19	xa	xa	PROPN
fuelectenerg-3307	468	20	.	.	PUNCT
fuelectenerg-3307	469	1	the	the	DET
fuelectenerg-3307	469	2	results	result	NOUN
fuelectenerg-3307	469	3	of	of	ADP
fuelectenerg-3307	469	4	this	this	DET
fuelectenerg-3307	469	5	paper	paper	NOUN
fuelectenerg-3307	469	6	close	close	VERB
fuelectenerg-3307	469	7	this	this	DET
fuelectenerg-3307	469	8	gap	gap	NOUN
fuelectenerg-3307	469	9	of	of	ADP
fuelectenerg-3307	469	10	a	a	DET
fuelectenerg-3307	469	11	missing	missing	ADJ
fuelectenerg-3307	469	12	compact	compact	ADJ
fuelectenerg-3307	469	13	xor	xor	PROPN
fuelectenerg-3307	469	14	-	-	PUNCT
fuelectenerg-3307	469	15	bi	bi	NOUN
fuelectenerg-3307	469	16	-	-	NOUN
fuelectenerg-3307	469	17	decomposition	decomposition	NOUN
fuelectenerg-3307	469	18	for	for	ADP
fuelectenerg-3307	469	19	lattices	lattice	NOUN
fuelectenerg-3307	469	20	of	of	ADP
fuelectenerg-3307	469	21	boolean	boolean	ADJ
fuelectenerg-3307	469	22	functions	function	NOUN
fuelectenerg-3307	469	23	.	.	PUNCT
fuelectenerg-3307	470	1	it	it	PRON
fuelectenerg-3307	470	2	provides	provide	VERB
fuelectenerg-3307	470	3	both	both	CCONJ
fuelectenerg-3307	470	4	the	the	DET
fuelectenerg-3307	470	5	needed	need	VERB
fuelectenerg-3307	470	6	new	new	ADJ
fuelectenerg-3307	470	7	theory	theory	NOUN
fuelectenerg-3307	470	8	and	and	CCONJ
fuelectenerg-3307	470	9	their	their	PRON
fuelectenerg-3307	470	10	application	application	NOUN
fuelectenerg-3307	470	11	in	in	ADP
fuelectenerg-3307	470	12	algorithms	algorithm	NOUN
fuelectenerg-3307	470	13	using	use	VERB
fuelectenerg-3307	470	14	xboole	xboole	PROPN
fuelectenerg-3307	471	1	[	[	X
fuelectenerg-3307	471	2	19	19	NUM
fuelectenerg-3307	471	3	,	,	PUNCT
fuelectenerg-3307	471	4	20	20	NUM
fuelectenerg-3307	471	5	]	]	PUNCT
fuelectenerg-3307	471	6	for	for	ADP
fuelectenerg-3307	471	7	the	the	DET
fuelectenerg-3307	471	8	calculation	calculation	NOUN
fuelectenerg-3307	471	9	of	of	ADP
fuelectenerg-3307	471	10	compact	compact	ADJ
fuelectenerg-3307	471	11	xor	xor	PROPN
fuelectenerg-3307	471	12	-	-	PUNCT
fuelectenerg-3307	471	13	bi	bi	NOUN
fuelectenerg-3307	471	14	-	-	NOUN
fuelectenerg-3307	471	15	decompositions	decomposition	NOUN
fuelectenerg-3307	471	16	for	for	ADP
fuelectenerg-3307	471	17	lattices	lattice	NOUN
fuelectenerg-3307	471	18	of	of	ADP
fuelectenerg-3307	471	19	boolean	boolean	ADJ
fuelectenerg-3307	471	20	functions	function	NOUN
fuelectenerg-3307	471	21	.	.	PUNCT
fuelectenerg-3307	472	1	in	in	ADP
fuelectenerg-3307	472	2	a	a	DET
fuelectenerg-3307	472	3	very	very	ADV
fuelectenerg-3307	472	4	simple	simple	ADJ
fuelectenerg-3307	472	5	example	example	NOUN
fuelectenerg-3307	472	6	the	the	DET
fuelectenerg-3307	472	7	gate	gate	NOUN
fuelectenerg-3307	472	8	count	count	NOUN
fuelectenerg-3307	472	9	(	(	PUNCT
fuelectenerg-3307	472	10	needed	needed	ADJ
fuelectenerg-3307	472	11	area	area	NOUN
fuelectenerg-3307	472	12	,	,	PUNCT
fuelectenerg-3307	472	13	power	power	NOUN
fuelectenerg-3307	472	14	consumption	consumption	NOUN
fuelectenerg-3307	472	15	)	)	PUNCT
fuelectenerg-3307	472	16	could	could	AUX
fuelectenerg-3307	472	17	be	be	AUX
fuelectenerg-3307	472	18	reduced	reduce	VERB
fuelectenerg-3307	472	19	to	to	ADP
fuelectenerg-3307	472	20	24	24	NUM
fuelectenerg-3307	472	21	percent	percent	NOUN
fuelectenerg-3307	472	22	in	in	ADP
fuelectenerg-3307	472	23	comparison	comparison	NOUN
fuelectenerg-3307	472	24	to	to	ADP
fuelectenerg-3307	472	25	an	an	DET
fuelectenerg-3307	472	26	exact	exact	ADJ
fuelectenerg-3307	472	27	covering	covering	NOUN
fuelectenerg-3307	472	28	method	method	NOUN
fuelectenerg-3307	472	29	and	and	CCONJ
fuelectenerg-3307	472	30	to	to	ADP
fuelectenerg-3307	472	31	85	85	NUM
fuelectenerg-3307	472	32	percent	percent	NOUN
fuelectenerg-3307	472	33	regarding	regard	VERB
fuelectenerg-3307	472	34	the	the	DET
fuelectenerg-3307	472	35	known	know	VERB
fuelectenerg-3307	472	36	bi	bi	NOUN
fuelectenerg-3307	472	37	-	-	NOUN
fuelectenerg-3307	472	38	decomposition	decomposition	NOUN
fuelectenerg-3307	472	39	.	.	PUNCT
fuelectenerg-3307	473	1	for	for	ADP
fuelectenerg-3307	473	2	the	the	DET
fuelectenerg-3307	473	3	same	same	ADJ
fuelectenerg-3307	473	4	example	example	NOUN
fuelectenerg-3307	473	5	the	the	DET
fuelectenerg-3307	473	6	length	length	NOUN
fuelectenerg-3307	473	7	of	of	ADP
fuelectenerg-3307	473	8	the	the	DET
fuelectenerg-3307	473	9	longest	long	ADJ
fuelectenerg-3307	473	10	path	path	NOUN
fuelectenerg-3307	473	11	(	(	PUNCT
fuelectenerg-3307	473	12	maximal	maximal	ADJ
fuelectenerg-3307	473	13	delay	delay	NOUN
fuelectenerg-3307	473	14	)	)	PUNCT
fuelectenerg-3307	473	15	could	could	AUX
fuelectenerg-3307	473	16	be	be	AUX
fuelectenerg-3307	473	17	reduced	reduce	VERB
fuelectenerg-3307	473	18	to	to	ADP
fuelectenerg-3307	473	19	one	one	NUM
fuelectenerg-3307	473	20	half	half	NOUN
fuelectenerg-3307	473	21	in	in	ADP
fuelectenerg-3307	473	22	comparison	comparison	NOUN
fuelectenerg-3307	473	23	to	to	ADP
fuelectenerg-3307	473	24	an	an	DET
fuelectenerg-3307	473	25	exact	exact	ADJ
fuelectenerg-3307	473	26	covering	covering	NOUN
fuelectenerg-3307	473	27	method	method	NOUN
fuelectenerg-3307	473	28	and	and	CCONJ
fuelectenerg-3307	473	29	to	to	ADP
fuelectenerg-3307	473	30	75	75	NUM
fuelectenerg-3307	473	31	percent	percent	NOUN
fuelectenerg-3307	473	32	according	accord	VERB
fuelectenerg-3307	473	33	to	to	ADP
fuelectenerg-3307	473	34	the	the	DET
fuelectenerg-3307	473	35	known	know	VERB
fuelectenerg-3307	473	36	bi	bi	NOUN
fuelectenerg-3307	473	37	-	-	NOUN
fuelectenerg-3307	473	38	decomposition	decomposition	NOUN
fuelectenerg-3307	473	39	.	.	PUNCT
fuelectenerg-3307	474	1	238	238	NUM
fuelectenerg-3307	474	2	b.	b.	PROPN
fuelectenerg-3307	474	3	steinbach	steinbach	PROPN
fuelectenerg-3307	474	4	,	,	PUNCT
fuelectenerg-3307	474	5	c.	c.	PROPN
fuelectenerg-3307	474	6	posthoff	posthoff	PROPN
fuelectenerg-3307	474	7	compact	compact	ADJ
fuelectenerg-3307	474	8	xor	xor	PROPN
fuelectenerg-3307	474	9	-	-	PUNCT
fuelectenerg-3307	474	10	bi	bi	NOUN
fuelectenerg-3307	474	11	-	-	NOUN
fuelectenerg-3307	474	12	decomposition	decomposition	NOUN
fuelectenerg-3307	474	13	for	for	ADP
fuelectenerg-3307	474	14	lattices	lattice	NOUN
fuelectenerg-3307	474	15	of	of	ADP
fuelectenerg-3307	474	16	boolean	boolean	ADJ
fuelectenerg-3307	474	17	functions	function	NOUN
fuelectenerg-3307	474	18	239	239	NUM
fuelectenerg-3307	474	19	16	16	NUM
fuelectenerg-3307	474	20	b.	b.	PROPN
fuelectenerg-3307	474	21	steinbach	steinbach	PROPN
fuelectenerg-3307	474	22	and	and	CCONJ
fuelectenerg-3307	474	23	c.	c.	PROPN
fuelectenerg-3307	474	24	posthoff	posthoff	PROPN
fuelectenerg-3307	474	25	:	:	PUNCT
fuelectenerg-3307	474	26	table	table	NOUN
fuelectenerg-3307	474	27	1	1	NUM
fuelectenerg-3307	474	28	.	.	PUNCT
fuelectenerg-3307	474	29	comparison	comparison	NOUN
fuelectenerg-3307	474	30	of	of	ADP
fuelectenerg-3307	474	31	needed	needed	ADJ
fuelectenerg-3307	474	32	area	area	NOUN
fuelectenerg-3307	474	33	,	,	PUNCT
fuelectenerg-3307	474	34	power	power	NOUN
fuelectenerg-3307	474	35	consumption	consumption	NOUN
fuelectenerg-3307	474	36	,	,	PUNCT
fuelectenerg-3307	474	37	and	and	CCONJ
fuelectenerg-3307	474	38	maximal	maximal	ADJ
fuelectenerg-3307	474	39	delay	delay	NOUN
fuelectenerg-3307	474	40	effect	effect	NOUN
fuelectenerg-3307	474	41	to	to	ADP
fuelectenerg-3307	474	42	used	use	VERB
fuelectenerg-3307	474	43	count	count	NOUN
fuelectenerg-3307	474	44	covering	covering	NOUN
fuelectenerg-3307	474	45	method	method	NOUN
fuelectenerg-3307	474	46	used	use	VERB
fuelectenerg-3307	474	47	xor	xor	PROPN
fuelectenerg-3307	474	48	-	-	PUNCT
fuelectenerg-3307	474	49	bi	bi	ADJ
fuelectenerg-3307	474	50	-	-	ADJ
fuelectenerg-3307	474	51	decomposition	decomposition	NOUN
fuelectenerg-3307	474	52	ratios	ratio	NOUN
fuelectenerg-3307	474	53	known	know	VERB
fuelectenerg-3307	474	54	new	new	ADJ
fuelectenerg-3307	474	55	compact	compact	ADJ
fuelectenerg-3307	474	56	new	new	ADJ
fuelectenerg-3307	474	57	compact	compact	ADJ
fuelectenerg-3307	474	58	covering	cover	VERB
fuelectenerg-3307	474	59	new	new	ADJ
fuelectenerg-3307	474	60	compact	compact	ADJ
fuelectenerg-3307	474	61	known	know	VERB
fuelectenerg-3307	474	62	area	area	NOUN
fuelectenerg-3307	474	63	number	number	NOUN
fuelectenerg-3307	474	64	of	of	ADP
fuelectenerg-3307	474	65	gates	gate	NOUN
fuelectenerg-3307	474	66	25	25	NUM
fuelectenerg-3307	474	67	7	7	NUM
fuelectenerg-3307	474	68	6	6	NUM
fuelectenerg-3307	474	69	24.0	24.0	NUM
fuelectenerg-3307	474	70	%	%	NOUN
fuelectenerg-3307	474	71	85.7	85.7	NUM
fuelectenerg-3307	474	72	%	%	NOUN
fuelectenerg-3307	474	73	power	power	NOUN
fuelectenerg-3307	474	74	number	number	NOUN
fuelectenerg-3307	474	75	of	of	ADP
fuelectenerg-3307	474	76	gates	gate	NOUN
fuelectenerg-3307	474	77	25	25	NUM
fuelectenerg-3307	474	78	7	7	NUM
fuelectenerg-3307	474	79	6	6	NUM
fuelectenerg-3307	474	80	24.0	24.0	NUM
fuelectenerg-3307	474	81	%	%	NOUN
fuelectenerg-3307	474	82	85.7	85.7	NUM
fuelectenerg-3307	474	83	%	%	NOUN
fuelectenerg-3307	474	84	delay	delay	NOUN
fuelectenerg-3307	474	85	number	number	NOUN
fuelectenerg-3307	474	86	of	of	ADP
fuelectenerg-3307	474	87	gates	gate	NOUN
fuelectenerg-3307	474	88	in	in	ADP
fuelectenerg-3307	474	89	the	the	DET
fuelectenerg-3307	474	90	longest	long	ADJ
fuelectenerg-3307	474	91	path	path	NOUN
fuelectenerg-3307	474	92	6	6	NUM
fuelectenerg-3307	474	93	4	4	NUM
fuelectenerg-3307	474	94	3	3	NUM
fuelectenerg-3307	474	95	50.0	50.0	NUM
fuelectenerg-3307	474	96	%	%	NOUN
fuelectenerg-3307	474	97	75.0	75.0	NUM
fuelectenerg-3307	474	98	%	%	NOUN
fuelectenerg-3307	474	99	compact	compact	ADJ
fuelectenerg-3307	474	100	xor	xor	PROPN
fuelectenerg-3307	474	101	-	-	PUNCT
fuelectenerg-3307	474	102	bi	bi	NOUN
fuelectenerg-3307	474	103	-	-	NOUN
fuelectenerg-3307	474	104	decomposition	decomposition	NOUN
fuelectenerg-3307	474	105	in	in	ADP
fuelectenerg-3307	474	106	comparison	comparison	NOUN
fuelectenerg-3307	474	107	to	to	ADP
fuelectenerg-3307	474	108	the	the	DET
fuelectenerg-3307	474	109	covering	covering	NOUN
fuelectenerg-3307	474	110	method	method	NOUN
fuelectenerg-3307	474	111	or	or	CCONJ
fuelectenerg-3307	474	112	to	to	ADP
fuelectenerg-3307	474	113	85.7	85.7	NUM
fuelectenerg-3307	474	114	%	%	NOUN
fuelectenerg-3307	474	115	regarding	regard	VERB
fuelectenerg-3307	474	116	the	the	DET
fuelectenerg-3307	474	117	so	so	ADV
fuelectenerg-3307	474	118	far	far	ADV
fuelectenerg-3307	474	119	used	use	VERB
fuelectenerg-3307	474	120	non	non	ADJ
fuelectenerg-3307	474	121	-	-	ADJ
fuelectenerg-3307	474	122	compact	compact	ADJ
fuelectenerg-3307	474	123	xor	xor	PROPN
fuelectenerg-3307	474	124	-	-	PUNCT
fuelectenerg-3307	474	125	bi	bi	NOUN
fuelectenerg-3307	474	126	-	-	NOUN
fuelectenerg-3307	474	127	decomposition	decomposition	NOUN
fuelectenerg-3307	474	128	.	.	PUNCT
fuelectenerg-3307	475	1	the	the	DET
fuelectenerg-3307	475	2	maximal	maximal	ADJ
fuelectenerg-3307	475	3	delay	delay	NOUN
fuelectenerg-3307	475	4	of	of	ADP
fuelectenerg-3307	475	5	the	the	DET
fuelectenerg-3307	475	6	synthesized	synthesize	VERB
fuelectenerg-3307	475	7	circuit	circuit	NOUN
fuelectenerg-3307	475	8	can	can	AUX
fuelectenerg-3307	475	9	be	be	AUX
fuelectenerg-3307	475	10	estimated	estimate	VERB
fuelectenerg-3307	475	11	by	by	ADP
fuelectenerg-3307	475	12	the	the	DET
fuelectenerg-3307	475	13	number	number	NOUN
fuelectenerg-3307	475	14	of	of	ADP
fuelectenerg-3307	475	15	gates	gate	NOUN
fuelectenerg-3307	475	16	in	in	ADP
fuelectenerg-3307	475	17	the	the	DET
fuelectenerg-3307	475	18	longest	long	ADJ
fuelectenerg-3307	475	19	path	path	NOUN
fuelectenerg-3307	475	20	that	that	PRON
fuelectenerg-3307	475	21	is	be	AUX
fuelectenerg-3307	475	22	equal	equal	ADJ
fuelectenerg-3307	475	23	to	to	ADP
fuelectenerg-3307	475	24	the	the	DET
fuelectenerg-3307	475	25	number	number	NOUN
fuelectenerg-3307	475	26	of	of	ADP
fuelectenerg-3307	475	27	gate	gate	NOUN
fuelectenerg-3307	475	28	levels	level	NOUN
fuelectenerg-3307	475	29	.	.	PUNCT
fuelectenerg-3307	476	1	the	the	DET
fuelectenerg-3307	476	2	bidecomposition	bidecomposition	NOUN
fuelectenerg-3307	476	3	outperforms	outperform	VERB
fuelectenerg-3307	476	4	the	the	DET
fuelectenerg-3307	476	5	covering	covering	NOUN
fuelectenerg-3307	476	6	method	method	NOUN
fuelectenerg-3307	476	7	also	also	ADV
fuelectenerg-3307	476	8	regarding	regard	VERB
fuelectenerg-3307	476	9	the	the	DET
fuelectenerg-3307	476	10	maximal	maximal	ADJ
fuelectenerg-3307	476	11	delay	delay	NOUN
fuelectenerg-3307	476	12	.	.	PUNCT
fuelectenerg-3307	477	1	the	the	DET
fuelectenerg-3307	477	2	new	new	ADJ
fuelectenerg-3307	477	3	compact	compact	ADJ
fuelectenerg-3307	477	4	xor	xor	PROPN
fuelectenerg-3307	477	5	-	-	PUNCT
fuelectenerg-3307	477	6	bi	bi	NOUN
fuelectenerg-3307	477	7	-	-	NOUN
fuelectenerg-3307	477	8	decomposition	decomposition	NOUN
fuelectenerg-3307	477	9	was	be	AUX
fuelectenerg-3307	477	10	able	able	ADJ
fuelectenerg-3307	477	11	to	to	PART
fuelectenerg-3307	477	12	reduce	reduce	VERB
fuelectenerg-3307	477	13	the	the	DET
fuelectenerg-3307	477	14	maximal	maximal	ADJ
fuelectenerg-3307	477	15	delay	delay	NOUN
fuelectenerg-3307	477	16	to	to	ADP
fuelectenerg-3307	477	17	one	one	NUM
fuelectenerg-3307	477	18	half	half	NOUN
fuelectenerg-3307	477	19	in	in	ADP
fuelectenerg-3307	477	20	comparison	comparison	NOUN
fuelectenerg-3307	477	21	to	to	ADP
fuelectenerg-3307	477	22	the	the	DET
fuelectenerg-3307	477	23	covering	covering	NOUN
fuelectenerg-3307	477	24	method	method	NOUN
fuelectenerg-3307	477	25	or	or	CCONJ
fuelectenerg-3307	477	26	75	75	NUM
fuelectenerg-3307	477	27	%	%	NOUN
fuelectenerg-3307	477	28	according	accord	VERB
fuelectenerg-3307	477	29	to	to	ADP
fuelectenerg-3307	477	30	the	the	DET
fuelectenerg-3307	477	31	known	known	ADJ
fuelectenerg-3307	477	32	non	non	ADJ
fuelectenerg-3307	477	33	-	-	ADJ
fuelectenerg-3307	477	34	compact	compact	ADJ
fuelectenerg-3307	477	35	xor	xor	PROPN
fuelectenerg-3307	477	36	-	-	PUNCT
fuelectenerg-3307	477	37	bi	bi	NOUN
fuelectenerg-3307	477	38	-	-	NOUN
fuelectenerg-3307	477	39	decomposition	decomposition	NOUN
fuelectenerg-3307	477	40	.	.	PUNCT
fuelectenerg-3307	478	1	6	6	NUM
fuelectenerg-3307	478	2	conclusions	conclusion	NOUN
fuelectenerg-3307	478	3	lattices	lattice	NOUN
fuelectenerg-3307	478	4	of	of	ADP
fuelectenerg-3307	478	5	boolean	boolean	ADJ
fuelectenerg-3307	478	6	functions	function	NOUN
fuelectenerg-3307	478	7	provide	provide	VERB
fuelectenerg-3307	478	8	the	the	DET
fuelectenerg-3307	478	9	possibility	possibility	NOUN
fuelectenerg-3307	478	10	to	to	PART
fuelectenerg-3307	478	11	choose	choose	VERB
fuelectenerg-3307	478	12	the	the	DET
fuelectenerg-3307	478	13	function	function	NOUN
fuelectenerg-3307	478	14	for	for	ADP
fuelectenerg-3307	478	15	which	which	PRON
fuelectenerg-3307	478	16	the	the	DET
fuelectenerg-3307	478	17	circuit	circuit	NOUN
fuelectenerg-3307	478	18	needs	need	VERB
fuelectenerg-3307	478	19	a	a	DET
fuelectenerg-3307	478	20	small	small	ADJ
fuelectenerg-3307	478	21	area	area	NOUN
fuelectenerg-3307	478	22	,	,	PUNCT
fuelectenerg-3307	478	23	a	a	DET
fuelectenerg-3307	478	24	low	low	ADJ
fuelectenerg-3307	478	25	power	power	NOUN
fuelectenerg-3307	478	26	consumption	consumption	NOUN
fuelectenerg-3307	478	27	,	,	PUNCT
fuelectenerg-3307	478	28	and	and	CCONJ
fuelectenerg-3307	478	29	has	have	VERB
fuelectenerg-3307	478	30	a	a	DET
fuelectenerg-3307	478	31	short	short	ADJ
fuelectenerg-3307	478	32	delay	delay	NOUN
fuelectenerg-3307	478	33	time	time	NOUN
fuelectenerg-3307	478	34	.	.	PUNCT
fuelectenerg-3307	479	1	the	the	DET
fuelectenerg-3307	479	2	bi	bi	NOUN
fuelectenerg-3307	479	3	-	-	NOUN
fuelectenerg-3307	479	4	decomposition	decomposition	NOUN
fuelectenerg-3307	479	5	is	be	AUX
fuelectenerg-3307	479	6	a	a	DET
fuelectenerg-3307	479	7	very	very	ADV
fuelectenerg-3307	479	8	powerful	powerful	ADJ
fuelectenerg-3307	479	9	method	method	NOUN
fuelectenerg-3307	479	10	to	to	PART
fuelectenerg-3307	479	11	synthesize	synthesize	VERB
fuelectenerg-3307	479	12	circuits	circuit	NOUN
fuelectenerg-3307	479	13	that	that	PRON
fuelectenerg-3307	479	14	improve	improve	VERB
fuelectenerg-3307	479	15	these	these	DET
fuelectenerg-3307	479	16	parameters	parameter	NOUN
fuelectenerg-3307	479	17	in	in	ADP
fuelectenerg-3307	479	18	comparison	comparison	NOUN
fuelectenerg-3307	479	19	to	to	ADP
fuelectenerg-3307	479	20	covering	cover	VERB
fuelectenerg-3307	479	21	methods	method	NOUN
fuelectenerg-3307	479	22	.	.	PUNCT
fuelectenerg-3307	480	1	the	the	DET
fuelectenerg-3307	480	2	theory	theory	NOUN
fuelectenerg-3307	480	3	to	to	PART
fuelectenerg-3307	480	4	find	find	VERB
fuelectenerg-3307	480	5	compact	compact	ADJ
fuelectenerg-3307	480	6	strong	strong	ADJ
fuelectenerg-3307	480	7	bi	bi	NOUN
fuelectenerg-3307	480	8	-	-	NOUN
fuelectenerg-3307	480	9	decompositions	decomposition	NOUN
fuelectenerg-3307	480	10	was	be	AUX
fuelectenerg-3307	480	11	so	so	ADV
fuelectenerg-3307	480	12	far	far	ADV
fuelectenerg-3307	480	13	only	only	ADV
fuelectenerg-3307	480	14	known	know	VERB
fuelectenerg-3307	480	15	for	for	ADP
fuelectenerg-3307	480	16	andand	andand	NOUN
fuelectenerg-3307	480	17	orgates	orgate	NOUN
fuelectenerg-3307	480	18	.	.	PUNCT
fuelectenerg-3307	481	1	however	however	ADV
fuelectenerg-3307	481	2	,	,	PUNCT
fuelectenerg-3307	481	3	strong	strong	ADJ
fuelectenerg-3307	481	4	xor	xor	PROPN
fuelectenerg-3307	481	5	-	-	PUNCT
fuelectenerg-3307	481	6	bi	bi	NOUN
fuelectenerg-3307	481	7	-	-	PUNCT
fuelectenerg-3307	481	8	decompositions	decomposition	NOUN
fuelectenerg-3307	481	9	were	be	AUX
fuelectenerg-3307	481	10	restricted	restrict	VERB
fuelectenerg-3307	481	11	to	to	ADP
fuelectenerg-3307	481	12	a	a	DET
fuelectenerg-3307	481	13	single	single	ADJ
fuelectenerg-3307	481	14	variable	variable	NOUN
fuelectenerg-3307	481	15	in	in	ADP
fuelectenerg-3307	481	16	the	the	DET
fuelectenerg-3307	481	17	dedicated	dedicated	ADJ
fuelectenerg-3307	481	18	set	set	NOUN
fuelectenerg-3307	481	19	xa	xa	PROPN
fuelectenerg-3307	481	20	.	.	PUNCT
fuelectenerg-3307	482	1	the	the	DET
fuelectenerg-3307	482	2	results	result	NOUN
fuelectenerg-3307	482	3	of	of	ADP
fuelectenerg-3307	482	4	this	this	DET
fuelectenerg-3307	482	5	paper	paper	NOUN
fuelectenerg-3307	482	6	close	close	VERB
fuelectenerg-3307	482	7	this	this	DET
fuelectenerg-3307	482	8	gap	gap	NOUN
fuelectenerg-3307	482	9	of	of	ADP
fuelectenerg-3307	482	10	a	a	DET
fuelectenerg-3307	482	11	missing	missing	ADJ
fuelectenerg-3307	482	12	compact	compact	ADJ
fuelectenerg-3307	482	13	xor	xor	PROPN
fuelectenerg-3307	482	14	-	-	PUNCT
fuelectenerg-3307	482	15	bi	bi	NOUN
fuelectenerg-3307	482	16	-	-	NOUN
fuelectenerg-3307	482	17	decomposition	decomposition	NOUN
fuelectenerg-3307	482	18	for	for	ADP
fuelectenerg-3307	482	19	lattices	lattice	NOUN
fuelectenerg-3307	482	20	of	of	ADP
fuelectenerg-3307	482	21	boolean	boolean	ADJ
fuelectenerg-3307	482	22	functions	function	NOUN
fuelectenerg-3307	482	23	.	.	PUNCT
fuelectenerg-3307	483	1	it	it	PRON
fuelectenerg-3307	483	2	provides	provide	VERB
fuelectenerg-3307	483	3	both	both	CCONJ
fuelectenerg-3307	483	4	the	the	DET
fuelectenerg-3307	483	5	needed	need	VERB
fuelectenerg-3307	483	6	new	new	ADJ
fuelectenerg-3307	483	7	theory	theory	NOUN
fuelectenerg-3307	483	8	and	and	CCONJ
fuelectenerg-3307	483	9	their	their	PRON
fuelectenerg-3307	483	10	application	application	NOUN
fuelectenerg-3307	483	11	in	in	ADP
fuelectenerg-3307	483	12	algorithms	algorithm	NOUN
fuelectenerg-3307	483	13	using	use	VERB
fuelectenerg-3307	483	14	xboole	xboole	PROPN
fuelectenerg-3307	484	1	[	[	X
fuelectenerg-3307	484	2	19	19	NUM
fuelectenerg-3307	484	3	,	,	PUNCT
fuelectenerg-3307	484	4	20	20	NUM
fuelectenerg-3307	484	5	]	]	PUNCT
fuelectenerg-3307	484	6	for	for	ADP
fuelectenerg-3307	484	7	the	the	DET
fuelectenerg-3307	484	8	calculation	calculation	NOUN
fuelectenerg-3307	484	9	of	of	ADP
fuelectenerg-3307	484	10	compact	compact	ADJ
fuelectenerg-3307	484	11	xor	xor	PROPN
fuelectenerg-3307	484	12	-	-	PUNCT
fuelectenerg-3307	484	13	bi	bi	NOUN
fuelectenerg-3307	484	14	-	-	NOUN
fuelectenerg-3307	484	15	decompositions	decomposition	NOUN
fuelectenerg-3307	484	16	for	for	ADP
fuelectenerg-3307	484	17	lattices	lattice	NOUN
fuelectenerg-3307	484	18	of	of	ADP
fuelectenerg-3307	484	19	boolean	boolean	ADJ
fuelectenerg-3307	484	20	functions	function	NOUN
fuelectenerg-3307	484	21	.	.	PUNCT
fuelectenerg-3307	485	1	in	in	ADP
fuelectenerg-3307	485	2	a	a	DET
fuelectenerg-3307	485	3	very	very	ADV
fuelectenerg-3307	485	4	simple	simple	ADJ
fuelectenerg-3307	485	5	example	example	NOUN
fuelectenerg-3307	485	6	the	the	DET
fuelectenerg-3307	485	7	gate	gate	NOUN
fuelectenerg-3307	485	8	count	count	NOUN
fuelectenerg-3307	485	9	(	(	PUNCT
fuelectenerg-3307	485	10	needed	needed	ADJ
fuelectenerg-3307	485	11	area	area	NOUN
fuelectenerg-3307	485	12	,	,	PUNCT
fuelectenerg-3307	485	13	power	power	NOUN
fuelectenerg-3307	485	14	consumption	consumption	NOUN
fuelectenerg-3307	485	15	)	)	PUNCT
fuelectenerg-3307	485	16	could	could	AUX
fuelectenerg-3307	485	17	be	be	AUX
fuelectenerg-3307	485	18	reduced	reduce	VERB
fuelectenerg-3307	485	19	to	to	ADP
fuelectenerg-3307	485	20	24	24	NUM
fuelectenerg-3307	485	21	percent	percent	NOUN
fuelectenerg-3307	485	22	in	in	ADP
fuelectenerg-3307	485	23	comparison	comparison	NOUN
fuelectenerg-3307	485	24	to	to	ADP
fuelectenerg-3307	485	25	an	an	DET
fuelectenerg-3307	485	26	exact	exact	ADJ
fuelectenerg-3307	485	27	covering	covering	NOUN
fuelectenerg-3307	485	28	method	method	NOUN
fuelectenerg-3307	485	29	and	and	CCONJ
fuelectenerg-3307	485	30	to	to	ADP
fuelectenerg-3307	485	31	85	85	NUM
fuelectenerg-3307	485	32	percent	percent	NOUN
fuelectenerg-3307	485	33	regarding	regard	VERB
fuelectenerg-3307	485	34	the	the	DET
fuelectenerg-3307	485	35	known	know	VERB
fuelectenerg-3307	485	36	bi	bi	NOUN
fuelectenerg-3307	485	37	-	-	NOUN
fuelectenerg-3307	485	38	decomposition	decomposition	NOUN
fuelectenerg-3307	485	39	.	.	PUNCT
fuelectenerg-3307	486	1	for	for	ADP
fuelectenerg-3307	486	2	the	the	DET
fuelectenerg-3307	486	3	same	same	ADJ
fuelectenerg-3307	486	4	example	example	NOUN
fuelectenerg-3307	486	5	the	the	DET
fuelectenerg-3307	486	6	length	length	NOUN
fuelectenerg-3307	486	7	of	of	ADP
fuelectenerg-3307	486	8	the	the	DET
fuelectenerg-3307	486	9	longest	long	ADJ
fuelectenerg-3307	486	10	path	path	NOUN
fuelectenerg-3307	486	11	(	(	PUNCT
fuelectenerg-3307	486	12	maximal	maximal	ADJ
fuelectenerg-3307	486	13	delay	delay	NOUN
fuelectenerg-3307	486	14	)	)	PUNCT
fuelectenerg-3307	486	15	could	could	AUX
fuelectenerg-3307	486	16	be	be	AUX
fuelectenerg-3307	486	17	reduced	reduce	VERB
fuelectenerg-3307	486	18	to	to	ADP
fuelectenerg-3307	486	19	one	one	NUM
fuelectenerg-3307	486	20	half	half	NOUN
fuelectenerg-3307	486	21	in	in	ADP
fuelectenerg-3307	486	22	comparison	comparison	NOUN
fuelectenerg-3307	486	23	to	to	ADP
fuelectenerg-3307	486	24	an	an	DET
fuelectenerg-3307	486	25	exact	exact	ADJ
fuelectenerg-3307	486	26	covering	covering	NOUN
fuelectenerg-3307	486	27	method	method	NOUN
fuelectenerg-3307	486	28	and	and	CCONJ
fuelectenerg-3307	486	29	to	to	ADP
fuelectenerg-3307	486	30	75	75	NUM
fuelectenerg-3307	486	31	percent	percent	NOUN
fuelectenerg-3307	486	32	according	accord	VERB
fuelectenerg-3307	486	33	to	to	ADP
fuelectenerg-3307	486	34	the	the	DET
fuelectenerg-3307	486	35	known	know	VERB
fuelectenerg-3307	486	36	bi	bi	NOUN
fuelectenerg-3307	486	37	-	-	NOUN
fuelectenerg-3307	486	38	decomposition	decomposition	NOUN
fuelectenerg-3307	486	39	.	.	PUNCT
fuelectenerg-3307	487	1	references	reference	NOUN
fuelectenerg-3307	487	2	17	17	NUM
fuelectenerg-3307	487	3	references	reference	NOUN
fuelectenerg-3307	487	4	[	[	X
fuelectenerg-3307	487	5	1	1	NUM
fuelectenerg-3307	487	6	]	]	X
fuelectenerg-3307	487	7	d.	d.	PROPN
fuelectenerg-3307	487	8	bochmann	bochmann	PROPN
fuelectenerg-3307	487	9	,	,	PUNCT
fuelectenerg-3307	487	10	f.	f.	PROPN
fuelectenerg-3307	487	11	dresig	dresig	PROPN
fuelectenerg-3307	487	12	,	,	PUNCT
fuelectenerg-3307	487	13	and	and	CCONJ
fuelectenerg-3307	487	14	b.	b.	PROPN
fuelectenerg-3307	487	15	steinbach	steinbach	PROPN
fuelectenerg-3307	487	16	.	.	PUNCT
fuelectenerg-3307	488	1	“	"	PUNCT
fuelectenerg-3307	488	2	a	a	DET
fuelectenerg-3307	488	3	new	new	ADJ
fuelectenerg-3307	488	4	decomposition	decomposition	NOUN
fuelectenerg-3307	488	5	method	method	NOUN
fuelectenerg-3307	488	6	for	for	ADP
fuelectenerg-3307	488	7	multilevel	multilevel	ADJ
fuelectenerg-3307	488	8	circuit	circuit	NOUN
fuelectenerg-3307	488	9	design	design	NOUN
fuelectenerg-3307	488	10	”	"	PUNCT
fuelectenerg-3307	488	11	.	.	PUNCT
fuelectenerg-3307	489	1	in	in	ADP
fuelectenerg-3307	489	2	:	:	PUNCT
fuelectenerg-3307	489	3	proceedings	proceeding	NOUN
fuelectenerg-3307	489	4	of	of	ADP
fuelectenerg-3307	489	5	the	the	DET
fuelectenerg-3307	489	6	conference	conference	NOUN
fuelectenerg-3307	489	7	on	on	ADP
fuelectenerg-3307	489	8	european	european	ADJ
fuelectenerg-3307	489	9	design	design	NOUN
fuelectenerg-3307	489	10	automation	automation	NOUN
fuelectenerg-3307	489	11	.	.	PUNCT
fuelectenerg-3307	490	1	edac	edac	PROPN
fuelectenerg-3307	490	2	’	’	PROPN
fuelectenerg-3307	490	3	91	91	NUM
fuelectenerg-3307	490	4	.	.	PUNCT
fuelectenerg-3307	491	1	amsterdam	amsterdam	PROPN
fuelectenerg-3307	491	2	,	,	PUNCT
fuelectenerg-3307	491	3	the	the	DET
fuelectenerg-3307	491	4	netherlands	netherlands	PROPN
fuelectenerg-3307	491	5	:	:	PUNCT
fuelectenerg-3307	491	6	ieee	ieee	NOUN
fuelectenerg-3307	491	7	computer	computer	NOUN
fuelectenerg-3307	491	8	society	society	NOUN
fuelectenerg-3307	491	9	,	,	PUNCT
fuelectenerg-3307	491	10	1991	1991	NUM
fuelectenerg-3307	491	11	,	,	PUNCT
fuelectenerg-3307	491	12	pp	pp	ADJ
fuelectenerg-3307	491	13	.	.	PUNCT
fuelectenerg-3307	492	1	374–377	374–377	NUM
fuelectenerg-3307	492	2	.	.	PUNCT
fuelectenerg-3307	493	1	[	[	X
fuelectenerg-3307	493	2	2	2	X
fuelectenerg-3307	493	3	]	]	PUNCT
fuelectenerg-3307	493	4	t.	t.	PROPN
fuelectenerg-3307	493	5	le	le	PROPN
fuelectenerg-3307	493	6	.	.	PUNCT
fuelectenerg-3307	494	1	“	"	PUNCT
fuelectenerg-3307	494	2	testbarkeit	testbarkeit	PROPN
fuelectenerg-3307	494	3	kombinatorischer	kombinatorischer	ADJ
fuelectenerg-3307	494	4	schaltungen	schaltungen	NOUN
fuelectenerg-3307	494	5	theorie	theorie	PROPN
fuelectenerg-3307	494	6	und	und	PROPN
fuelectenerg-3307	494	7	entwurf	entwurf	NOUN
fuelectenerg-3307	494	8	”	"	PUNCT
fuelectenerg-3307	494	9	.	.	PUNCT
fuelectenerg-3307	495	1	written	write	VERB
fuelectenerg-3307	495	2	in	in	ADP
fuelectenerg-3307	495	3	german	german	ADJ
fuelectenerg-3307	495	4	,	,	PUNCT
fuelectenerg-3307	495	5	english	english	ADJ
fuelectenerg-3307	495	6	title	title	NOUN
fuelectenerg-3307	495	7	:	:	PUNCT
fuelectenerg-3307	495	8	testability	testability	NOUN
fuelectenerg-3307	495	9	of	of	ADP
fuelectenerg-3307	495	10	combinational	combinational	ADJ
fuelectenerg-3307	495	11	circuits	circuit	NOUN
fuelectenerg-3307	495	12	theory	theory	NOUN
fuelectenerg-3307	495	13	and	and	CCONJ
fuelectenerg-3307	495	14	design	design	NOUN
fuelectenerg-3307	495	15	.	.	PUNCT
fuelectenerg-3307	496	1	phd	phd	NOUN
fuelectenerg-3307	496	2	thesis	thesis	PROPN
fuelectenerg-3307	496	3	.	.	PUNCT
fuelectenerg-3307	497	1	tu	tu	PROPN
fuelectenerg-3307	497	2	karl	karl	PROPN
fuelectenerg-3307	497	3	-	-	PUNCT
fuelectenerg-3307	497	4	marx	marx	PROPN
fuelectenerg-3307	497	5	-	-	PUNCT
fuelectenerg-3307	497	6	stadt	stadt	NOUN
fuelectenerg-3307	497	7	,	,	PUNCT
fuelectenerg-3307	497	8	germany	germany	PROPN
fuelectenerg-3307	497	9	,	,	PUNCT
fuelectenerg-3307	497	10	1989	1989	NUM
fuelectenerg-3307	497	11	.	.	PUNCT
fuelectenerg-3307	498	1	[	[	X
fuelectenerg-3307	498	2	3	3	X
fuelectenerg-3307	498	3	]	]	X
fuelectenerg-3307	498	4	c.	c.	NOUN
fuelectenerg-3307	498	5	posthoff	posthoff	PROPN
fuelectenerg-3307	498	6	and	and	CCONJ
fuelectenerg-3307	498	7	b.	b.	PROPN
fuelectenerg-3307	498	8	steinbach	steinbach	PROPN
fuelectenerg-3307	498	9	.	.	PUNCT
fuelectenerg-3307	499	1	logic	logic	NOUN
fuelectenerg-3307	499	2	functions	function	NOUN
fuelectenerg-3307	499	3	and	and	CCONJ
fuelectenerg-3307	499	4	equations	equation	NOUN
fuelectenerg-3307	499	5	–	–	PUNCT
fuelectenerg-3307	499	6	binary	binary	NOUN
fuelectenerg-3307	499	7	models	model	NOUN
fuelectenerg-3307	499	8	for	for	ADP
fuelectenerg-3307	499	9	computer	computer	NOUN
fuelectenerg-3307	499	10	science	science	NOUN
fuelectenerg-3307	499	11	.	.	PUNCT
fuelectenerg-3307	500	1	dordrecht	dordrecht	PROPN
fuelectenerg-3307	500	2	,	,	PUNCT
fuelectenerg-3307	500	3	the	the	DET
fuelectenerg-3307	500	4	netherlands	netherlands	PROPN
fuelectenerg-3307	500	5	:	:	PUNCT
fuelectenerg-3307	500	6	springer	springer	NOUN
fuelectenerg-3307	500	7	,	,	PUNCT
fuelectenerg-3307	500	8	2004	2004	NUM
fuelectenerg-3307	500	9	.	.	PUNCT
fuelectenerg-3307	501	1	[	[	X
fuelectenerg-3307	501	2	4	4	X
fuelectenerg-3307	501	3	]	]	PUNCT
fuelectenerg-3307	501	4	b.	b.	PROPN
fuelectenerg-3307	501	5	steinbach	steinbach	PROPN
fuelectenerg-3307	501	6	and	and	CCONJ
fuelectenerg-3307	501	7	c.	c.	PROPN
fuelectenerg-3307	501	8	posthoff	posthoff	PROPN
fuelectenerg-3307	501	9	.	.	PUNCT
fuelectenerg-3307	502	1	boolean	boolean	ADJ
fuelectenerg-3307	502	2	differential	differential	ADJ
fuelectenerg-3307	502	3	calculus	calculus	NOUN
fuelectenerg-3307	502	4	.	.	PUNCT
fuelectenerg-3307	503	1	synthesis	synthesis	NOUN
fuelectenerg-3307	503	2	lecturers	lecturer	NOUN
fuelectenerg-3307	503	3	on	on	ADP
fuelectenerg-3307	503	4	digital	digital	ADJ
fuelectenerg-3307	503	5	circuits	circuit	NOUN
fuelectenerg-3307	503	6	and	and	CCONJ
fuelectenerg-3307	503	7	systems	system	NOUN
fuelectenerg-3307	503	8	52	52	NUM
fuelectenerg-3307	503	9	.	.	PUNCT
fuelectenerg-3307	504	1	san	san	PROPN
fuelectenerg-3307	504	2	rafael	rafael	PROPN
fuelectenerg-3307	504	3	,	,	PUNCT
fuelectenerg-3307	504	4	ca	ca	PROPN
fuelectenerg-3307	504	5	,	,	PUNCT
fuelectenerg-3307	504	6	usa	usa	PROPN
fuelectenerg-3307	504	7	:	:	PUNCT
fuelectenerg-3307	504	8	morgan	morgan	PROPN
fuelectenerg-3307	504	9	&	&	CCONJ
fuelectenerg-3307	504	10	claypool	claypool	PROPN
fuelectenerg-3307	504	11	,	,	PUNCT
fuelectenerg-3307	504	12	2017	2017	NUM
fuelectenerg-3307	504	13	.	.	PUNCT
fuelectenerg-3307	505	1	[	[	X
fuelectenerg-3307	505	2	5	5	NUM
fuelectenerg-3307	505	3	]	]	PUNCT
fuelectenerg-3307	505	4	a.	a.	NOUN
fuelectenerg-3307	505	5	mishchenko	mishchenko	PROPN
fuelectenerg-3307	505	6	,	,	PUNCT
fuelectenerg-3307	505	7	b.	b.	PROPN
fuelectenerg-3307	505	8	steinbach	steinbach	PROPN
fuelectenerg-3307	505	9	,	,	PUNCT
fuelectenerg-3307	505	10	and	and	CCONJ
fuelectenerg-3307	505	11	m.	m.	PROPN
fuelectenerg-3307	505	12	perkowski	perkowski	PROPN
fuelectenerg-3307	505	13	.	.	PUNCT
fuelectenerg-3307	506	1	“	"	PUNCT
fuelectenerg-3307	506	2	an	an	DET
fuelectenerg-3307	506	3	algorithm	algorithm	NOUN
fuelectenerg-3307	506	4	for	for	ADP
fuelectenerg-3307	506	5	bidecomposition	bidecomposition	NOUN
fuelectenerg-3307	506	6	of	of	ADP
fuelectenerg-3307	506	7	logic	logic	NOUN
fuelectenerg-3307	506	8	functions	function	NOUN
fuelectenerg-3307	506	9	”	"	PUNCT
fuelectenerg-3307	506	10	.	.	PUNCT
fuelectenerg-3307	507	1	in	in	ADP
fuelectenerg-3307	507	2	:	:	PUNCT
fuelectenerg-3307	507	3	proceedings	proceeding	NOUN
fuelectenerg-3307	507	4	of	of	ADP
fuelectenerg-3307	507	5	the	the	DET
fuelectenerg-3307	507	6	38th	38th	ADJ
fuelectenerg-3307	507	7	annual	annual	ADJ
fuelectenerg-3307	507	8	design	design	NOUN
fuelectenerg-3307	507	9	automation	automation	NOUN
fuelectenerg-3307	507	10	conference	conference	NOUN
fuelectenerg-3307	507	11	.	.	PUNCT
fuelectenerg-3307	508	1	dac	dac	PROPN
fuelectenerg-3307	508	2	’	'	PUNCT
fuelectenerg-3307	508	3	01	01	NUM
fuelectenerg-3307	508	4	.	.	PUNCT
fuelectenerg-3307	509	1	las	las	PROPN
fuelectenerg-3307	509	2	vegas	vegas	PROPN
fuelectenerg-3307	509	3	,	,	PUNCT
fuelectenerg-3307	509	4	nevada	nevada	PROPN
fuelectenerg-3307	509	5	,	,	PUNCT
fuelectenerg-3307	509	6	usa	usa	PROPN
fuelectenerg-3307	509	7	:	:	PUNCT
fuelectenerg-3307	509	8	acm	acm	PROPN
fuelectenerg-3307	509	9	,	,	PUNCT
fuelectenerg-3307	509	10	2001	2001	NUM
fuelectenerg-3307	509	11	,	,	PUNCT
fuelectenerg-3307	509	12	pp	pp	ADJ
fuelectenerg-3307	509	13	.	.	PUNCT
fuelectenerg-3307	510	1	103–108	103–108	NUM
fuelectenerg-3307	510	2	.	.	PUNCT
fuelectenerg-3307	511	1	[	[	X
fuelectenerg-3307	511	2	6	6	NUM
fuelectenerg-3307	511	3	]	]	PUNCT
fuelectenerg-3307	511	4	b.	b.	PROPN
fuelectenerg-3307	511	5	steinbach	steinbach	PROPN
fuelectenerg-3307	511	6	.	.	PUNCT
fuelectenerg-3307	512	1	“	"	PUNCT
fuelectenerg-3307	512	2	vectorial	vectorial	ADJ
fuelectenerg-3307	512	3	bi	bi	NOUN
fuelectenerg-3307	512	4	-	-	NOUN
fuelectenerg-3307	512	5	decompositions	decomposition	NOUN
fuelectenerg-3307	512	6	of	of	ADP
fuelectenerg-3307	512	7	logic	logic	NOUN
fuelectenerg-3307	512	8	functions	function	NOUN
fuelectenerg-3307	512	9	”	"	PUNCT
fuelectenerg-3307	512	10	.	.	PUNCT
fuelectenerg-3307	513	1	in	in	ADP
fuelectenerg-3307	513	2	:	:	PUNCT
fuelectenerg-3307	513	3	proceedings	proceeding	NOUN
fuelectenerg-3307	513	4	of	of	ADP
fuelectenerg-3307	513	5	the	the	DET
fuelectenerg-3307	513	6	reed	reed	NOUN
fuelectenerg-3307	513	7	-	-	PUNCT
fuelectenerg-3307	513	8	mullerworkshop	mullerworkshop	NOUN
fuelectenerg-3307	513	9	2015	2015	NUM
fuelectenerg-3307	513	10	.	.	PUNCT
fuelectenerg-3307	514	1	rm	rm	PROPN
fuelectenerg-3307	514	2	4	4	NUM
fuelectenerg-3307	514	3	.	.	PUNCT
fuelectenerg-3307	515	1	waterloo	waterloo	PROPN
fuelectenerg-3307	515	2	,	,	PUNCT
fuelectenerg-3307	515	3	canada	canada	PROPN
fuelectenerg-3307	515	4	,	,	PUNCT
fuelectenerg-3307	515	5	2015	2015	NUM
fuelectenerg-3307	515	6	.	.	PUNCT
fuelectenerg-3307	516	1	[	[	X
fuelectenerg-3307	516	2	7	7	X
fuelectenerg-3307	516	3	]	]	PUNCT
fuelectenerg-3307	516	4	b.	b.	PROPN
fuelectenerg-3307	516	5	steinbach	steinbach	PROPN
fuelectenerg-3307	516	6	and	and	CCONJ
fuelectenerg-3307	516	7	c.	c.	PROPN
fuelectenerg-3307	516	8	posthoff	posthoff	PROPN
fuelectenerg-3307	516	9	.	.	PUNCT
fuelectenerg-3307	517	1	“	"	PUNCT
fuelectenerg-3307	517	2	vectorial	vectorial	ADJ
fuelectenerg-3307	517	3	bi	bi	NOUN
fuelectenerg-3307	517	4	-	-	NOUN
fuelectenerg-3307	517	5	decompositions	decomposition	NOUN
fuelectenerg-3307	517	6	for	for	ADP
fuelectenerg-3307	517	7	lattices	lattice	NOUN
fuelectenerg-3307	517	8	of	of	ADP
fuelectenerg-3307	517	9	boolean	boolean	ADJ
fuelectenerg-3307	517	10	functions	function	NOUN
fuelectenerg-3307	517	11	”	"	PUNCT
fuelectenerg-3307	517	12	.	.	PUNCT
fuelectenerg-3307	518	1	in	in	ADP
fuelectenerg-3307	518	2	:	:	PUNCT
fuelectenerg-3307	518	3	proceedings	proceeding	NOUN
fuelectenerg-3307	518	4	of	of	ADP
fuelectenerg-3307	518	5	the	the	DET
fuelectenerg-3307	518	6	12th	12th	ADJ
fuelectenerg-3307	518	7	international	international	ADJ
fuelectenerg-3307	518	8	workshops	workshop	NOUN
fuelectenerg-3307	518	9	on	on	ADP
fuelectenerg-3307	518	10	boolean	boolean	ADJ
fuelectenerg-3307	518	11	problems	problem	NOUN
fuelectenerg-3307	518	12	.	.	PUNCT
fuelectenerg-3307	519	1	iwsbp	iwsbp	NOUN
fuelectenerg-3307	519	2	.	.	PUNCT
fuelectenerg-3307	520	1	freiberg	freiberg	PROPN
fuelectenerg-3307	520	2	,	,	PUNCT
fuelectenerg-3307	520	3	germany	germany	PROPN
fuelectenerg-3307	520	4	:	:	PUNCT
fuelectenerg-3307	520	5	freiberg	freiberg	PROPN
fuelectenerg-3307	520	6	university	university	PROPN
fuelectenerg-3307	520	7	of	of	ADP
fuelectenerg-3307	520	8	mining	mining	NOUN
fuelectenerg-3307	520	9	and	and	CCONJ
fuelectenerg-3307	520	10	technology	technology	NOUN
fuelectenerg-3307	520	11	,	,	PUNCT
fuelectenerg-3307	520	12	2016	2016	NUM
fuelectenerg-3307	520	13	,	,	PUNCT
fuelectenerg-3307	520	14	pp	pp	ADV
fuelectenerg-3307	520	15	.	.	PUNCT
fuelectenerg-3307	521	1	93–104	93–104	NOUN
fuelectenerg-3307	521	2	.	.	PUNCT
fuelectenerg-3307	522	1	[	[	X
fuelectenerg-3307	522	2	8	8	NUM
fuelectenerg-3307	522	3	]	]	PUNCT
fuelectenerg-3307	522	4	a.	a.	NOUN
fuelectenerg-3307	522	5	thayse	thayse	NOUN
fuelectenerg-3307	522	6	.	.	PUNCT
fuelectenerg-3307	523	1	“	"	PUNCT
fuelectenerg-3307	523	2	boolean	boolean	ADJ
fuelectenerg-3307	523	3	differential	differential	NOUN
fuelectenerg-3307	523	4	calculus	calculus	NOUN
fuelectenerg-3307	523	5	”	"	PUNCT
fuelectenerg-3307	523	6	.	.	PUNCT
fuelectenerg-3307	524	1	in	in	ADP
fuelectenerg-3307	524	2	:	:	PUNCT
fuelectenerg-3307	524	3	philips	philips	PROPN
fuelectenerg-3307	524	4	research	research	PROPN
fuelectenerg-3307	524	5	reports	report	VERB
fuelectenerg-3307	524	6	26	26	NUM
fuelectenerg-3307	524	7	(	(	PUNCT
fuelectenerg-3307	524	8	1971	1971	NUM
fuelectenerg-3307	524	9	)	)	PUNCT
fuelectenerg-3307	524	10	.	.	PUNCT
fuelectenerg-3307	525	1	r	r	NOUN
fuelectenerg-3307	525	2	764	764	NUM
fuelectenerg-3307	525	3	,	,	PUNCT
fuelectenerg-3307	525	4	pp	pp	ADJ
fuelectenerg-3307	525	5	.	.	PUNCT
fuelectenerg-3307	526	1	229–246	229–246	NUM
fuelectenerg-3307	526	2	.	.	PUNCT
fuelectenerg-3307	527	1	[	[	X
fuelectenerg-3307	527	2	9	9	NUM
fuelectenerg-3307	527	3	]	]	PUNCT
fuelectenerg-3307	527	4	m.	m.	NOUN
fuelectenerg-3307	527	5	davio	davio	NOUN
fuelectenerg-3307	527	6	and	and	CCONJ
fuelectenerg-3307	527	7	a.	a.	NOUN
fuelectenerg-3307	527	8	thayse	thayse	NOUN
fuelectenerg-3307	527	9	.	.	PUNCT
fuelectenerg-3307	528	1	“	"	PUNCT
fuelectenerg-3307	528	2	boolean	boolean	ADJ
fuelectenerg-3307	528	3	differential	differential	NOUN
fuelectenerg-3307	528	4	calculus	calculus	NOUN
fuelectenerg-3307	528	5	and	and	CCONJ
fuelectenerg-3307	528	6	its	its	PRON
fuelectenerg-3307	528	7	application	application	NOUN
fuelectenerg-3307	528	8	to	to	ADP
fuelectenerg-3307	528	9	switching	switch	VERB
fuelectenerg-3307	528	10	theory	theory	NOUN
fuelectenerg-3307	528	11	”	"	PUNCT
fuelectenerg-3307	528	12	.	.	PUNCT
fuelectenerg-3307	529	1	in	in	ADP
fuelectenerg-3307	529	2	:	:	PUNCT
fuelectenerg-3307	529	3	ieee	ieee	NOUN
fuelectenerg-3307	529	4	transactions	transaction	NOUN
fuelectenerg-3307	529	5	on	on	ADP
fuelectenerg-3307	529	6	computes	compute	NOUN
fuelectenerg-3307	529	7	22.4	22.4	NUM
fuelectenerg-3307	529	8	(	(	PUNCT
fuelectenerg-3307	529	9	1973	1973	NUM
fuelectenerg-3307	529	10	)	)	PUNCT
fuelectenerg-3307	529	11	,	,	PUNCT
fuelectenerg-3307	529	12	pp	pp	ADP
fuelectenerg-3307	529	13	.	.	PUNCT
fuelectenerg-3307	530	1	409–420	409–420	NUM
fuelectenerg-3307	530	2	.	.	PUNCT
fuelectenerg-3307	531	1	[	[	X
fuelectenerg-3307	531	2	10	10	NUM
fuelectenerg-3307	531	3	]	]	PUNCT
fuelectenerg-3307	531	4	b.	b.	PROPN
fuelectenerg-3307	531	5	steinbach	steinbach	PROPN
fuelectenerg-3307	531	6	and	and	CCONJ
fuelectenerg-3307	531	7	c.	c.	PROPN
fuelectenerg-3307	531	8	posthoff	posthoff	PROPN
fuelectenerg-3307	531	9	.	.	PUNCT
fuelectenerg-3307	532	1	logic	logic	NOUN
fuelectenerg-3307	532	2	functions	function	NOUN
fuelectenerg-3307	532	3	and	and	CCONJ
fuelectenerg-3307	532	4	equations	equation	NOUN
fuelectenerg-3307	532	5	examples	example	NOUN
fuelectenerg-3307	532	6	and	and	CCONJ
fuelectenerg-3307	532	7	exercises	exercise	NOUN
fuelectenerg-3307	532	8	.	.	PUNCT
fuelectenerg-3307	533	1	springer	springer	NOUN
fuelectenerg-3307	533	2	science	science	NOUN
fuelectenerg-3307	533	3	+	+	CCONJ
fuelectenerg-3307	533	4	business	business	NOUN
fuelectenerg-3307	533	5	media	medium	NOUN
fuelectenerg-3307	533	6	b.v	b.v	PROPN
fuelectenerg-3307	533	7	.	.	PROPN
fuelectenerg-3307	533	8	,	,	PUNCT
fuelectenerg-3307	533	9	2009	2009	NUM
fuelectenerg-3307	533	10	.	.	PUNCT
fuelectenerg-3307	534	1	[	[	X
fuelectenerg-3307	534	2	11	11	NUM
fuelectenerg-3307	534	3	]	]	PUNCT
fuelectenerg-3307	534	4	b.	b.	PROPN
fuelectenerg-3307	534	5	steinbach	steinbach	PROPN
fuelectenerg-3307	534	6	and	and	CCONJ
fuelectenerg-3307	534	7	c.	c.	PROPN
fuelectenerg-3307	534	8	posthoff	posthoff	PROPN
fuelectenerg-3307	534	9	.	.	PUNCT
fuelectenerg-3307	535	1	“	"	PUNCT
fuelectenerg-3307	535	2	boolean	boolean	ADJ
fuelectenerg-3307	535	3	differential	differential	ADJ
fuelectenerg-3307	535	4	calculus	calculus	NOUN
fuelectenerg-3307	535	5	theory	theory	NOUN
fuelectenerg-3307	535	6	and	and	CCONJ
fuelectenerg-3307	535	7	applications	application	NOUN
fuelectenerg-3307	535	8	”	"	PUNCT
fuelectenerg-3307	535	9	.	.	PUNCT
fuelectenerg-3307	536	1	in	in	ADP
fuelectenerg-3307	536	2	:	:	PUNCT
fuelectenerg-3307	536	3	journal	journal	NOUN
fuelectenerg-3307	536	4	of	of	ADP
fuelectenerg-3307	536	5	computational	computational	ADJ
fuelectenerg-3307	536	6	and	and	CCONJ
fuelectenerg-3307	536	7	theoretical	theoretical	ADJ
fuelectenerg-3307	536	8	nanoscience	nanoscience	NOUN
fuelectenerg-3307	536	9	7.6	7.6	NUM
fuelectenerg-3307	536	10	(	(	PUNCT
fuelectenerg-3307	536	11	2010	2010	NUM
fuelectenerg-3307	536	12	)	)	PUNCT
fuelectenerg-3307	536	13	,	,	PUNCT
fuelectenerg-3307	536	14	pp	pp	ADP
fuelectenerg-3307	536	15	.	.	PUNCT
fuelectenerg-3307	537	1	933–981	933–981	NUM
fuelectenerg-3307	537	2	.	.	X
fuelectenerg-3307	537	3	238	238	NUM
fuelectenerg-3307	537	4	b.	b.	PROPN
fuelectenerg-3307	537	5	steinbach	steinbach	PROPN
fuelectenerg-3307	537	6	,	,	PUNCT
fuelectenerg-3307	537	7	c.	c.	PROPN
fuelectenerg-3307	537	8	posthoff	posthoff	PROPN
fuelectenerg-3307	537	9	compact	compact	ADJ
fuelectenerg-3307	537	10	xor	xor	PROPN
fuelectenerg-3307	537	11	-	-	PUNCT
fuelectenerg-3307	537	12	bi	bi	NOUN
fuelectenerg-3307	537	13	-	-	NOUN
fuelectenerg-3307	537	14	decomposition	decomposition	NOUN
fuelectenerg-3307	537	15	for	for	ADP
fuelectenerg-3307	537	16	lattices	lattice	NOUN
fuelectenerg-3307	537	17	of	of	ADP
fuelectenerg-3307	537	18	boolean	boolean	ADJ
fuelectenerg-3307	537	19	functions	function	NOUN
fuelectenerg-3307	537	20	239	239	NUM
fuelectenerg-3307	537	21	18	18	NUM
fuelectenerg-3307	537	22	references	reference	NOUN
fuelectenerg-3307	537	23	[	[	X
fuelectenerg-3307	537	24	12	12	NUM
fuelectenerg-3307	537	25	]	]	PUNCT
fuelectenerg-3307	537	26	b.	b.	PROPN
fuelectenerg-3307	537	27	steinbach	steinbach	PROPN
fuelectenerg-3307	537	28	and	and	CCONJ
fuelectenerg-3307	537	29	c.	c.	PROPN
fuelectenerg-3307	537	30	posthoff	posthoff	PROPN
fuelectenerg-3307	537	31	.	.	PUNCT
fuelectenerg-3307	538	1	“	"	PUNCT
fuelectenerg-3307	538	2	boolean	boolean	ADJ
fuelectenerg-3307	538	3	differential	differential	NOUN
fuelectenerg-3307	538	4	calculus	calculus	NOUN
fuelectenerg-3307	538	5	”	"	PUNCT
fuelectenerg-3307	538	6	.	.	PUNCT
fuelectenerg-3307	539	1	in	in	ADP
fuelectenerg-3307	539	2	:	:	PUNCT
fuelectenerg-3307	539	3	progress	progress	NOUN
fuelectenerg-3307	539	4	in	in	ADP
fuelectenerg-3307	539	5	applications	application	NOUN
fuelectenerg-3307	539	6	of	of	ADP
fuelectenerg-3307	539	7	boolean	boolean	ADJ
fuelectenerg-3307	539	8	functions	function	NOUN
fuelectenerg-3307	539	9	.	.	PUNCT
fuelectenerg-3307	540	1	synthesis	synthesis	NOUN
fuelectenerg-3307	540	2	lecturers	lecturer	NOUN
fuelectenerg-3307	540	3	on	on	ADP
fuelectenerg-3307	540	4	digital	digital	ADJ
fuelectenerg-3307	540	5	circuits	circuit	NOUN
fuelectenerg-3307	540	6	and	and	CCONJ
fuelectenerg-3307	540	7	systems	system	NOUN
fuelectenerg-3307	540	8	26	26	NUM
fuelectenerg-3307	540	9	.	.	PUNCT
fuelectenerg-3307	541	1	san	san	PROPN
fuelectenerg-3307	541	2	rafael	rafael	PROPN
fuelectenerg-3307	541	3	,	,	PUNCT
fuelectenerg-3307	541	4	ca	ca	PROPN
fuelectenerg-3307	541	5	,	,	PUNCT
fuelectenerg-3307	541	6	usa	usa	PROPN
fuelectenerg-3307	541	7	:	:	PUNCT
fuelectenerg-3307	541	8	morgan	morgan	PROPN
fuelectenerg-3307	541	9	&	&	CCONJ
fuelectenerg-3307	541	10	claypool	claypool	PROPN
fuelectenerg-3307	541	11	,	,	PUNCT
fuelectenerg-3307	541	12	2010	2010	NUM
fuelectenerg-3307	541	13	,	,	PUNCT
fuelectenerg-3307	541	14	pp	pp	ADJ
fuelectenerg-3307	541	15	.	.	PUNCT
fuelectenerg-3307	542	1	55–78	55–78	X
fuelectenerg-3307	542	2	.	.	PUNCT
fuelectenerg-3307	543	1	[	[	X
fuelectenerg-3307	543	2	13	13	NUM
fuelectenerg-3307	543	3	]	]	PUNCT
fuelectenerg-3307	543	4	t.	t.	PROPN
fuelectenerg-3307	543	5	sasao	sasao	PROPN
fuelectenerg-3307	543	6	and	and	CCONJ
fuelectenerg-3307	543	7	j.	j.	PROPN
fuelectenerg-3307	543	8	butler	butler	PROPN
fuelectenerg-3307	543	9	.	.	PUNCT
fuelectenerg-3307	544	1	“	"	PUNCT
fuelectenerg-3307	544	2	on	on	ADP
fuelectenerg-3307	544	3	bi	bi	NOUN
fuelectenerg-3307	544	4	-	-	NOUN
fuelectenerg-3307	544	5	decompositions	decomposition	NOUN
fuelectenerg-3307	544	6	of	of	ADP
fuelectenerg-3307	544	7	logic	logic	NOUN
fuelectenerg-3307	544	8	functions	function	NOUN
fuelectenerg-3307	544	9	”	"	PUNCT
fuelectenerg-3307	544	10	.	.	PUNCT
fuelectenerg-3307	545	1	in	in	ADP
fuelectenerg-3307	545	2	:	:	PUNCT
fuelectenerg-3307	545	3	6th	6th	ADJ
fuelectenerg-3307	545	4	international	international	ADJ
fuelectenerg-3307	545	5	workshop	workshop	NOUN
fuelectenerg-3307	545	6	on	on	ADP
fuelectenerg-3307	545	7	logic	logic	NOUN
fuelectenerg-3307	545	8	&	&	CCONJ
fuelectenerg-3307	545	9	synthesis	synthesis	NOUN
fuelectenerg-3307	545	10	.	.	PUNCT
fuelectenerg-3307	546	1	iwls	iwl	NOUN
fuelectenerg-3307	546	2	.	.	PUNCT
fuelectenerg-3307	547	1	granlibakken	granlibakken	VERB
fuelectenerg-3307	547	2	resort	resort	PROPN
fuelectenerg-3307	547	3	tahoe	tahoe	PROPN
fuelectenerg-3307	547	4	city	city	PROPN
fuelectenerg-3307	547	5	,	,	PUNCT
fuelectenerg-3307	547	6	ca	ca	PROPN
fuelectenerg-3307	547	7	,	,	PUNCT
fuelectenerg-3307	547	8	usa	usa	PROPN
fuelectenerg-3307	547	9	,	,	PUNCT
fuelectenerg-3307	547	10	1997	1997	NUM
fuelectenerg-3307	547	11	,	,	PUNCT
fuelectenerg-3307	547	12	pp	pp	ADV
fuelectenerg-3307	547	13	.	.	PUNCT
fuelectenerg-3307	548	1	1–6	1–6	X
fuelectenerg-3307	548	2	.	.	PUNCT
fuelectenerg-3307	549	1	[	[	X
fuelectenerg-3307	549	2	14	14	NUM
fuelectenerg-3307	549	3	]	]	PUNCT
fuelectenerg-3307	549	4	m.	m.	PROPN
fuelectenerg-3307	549	5	choudhury	choudhury	PROPN
fuelectenerg-3307	549	6	and	and	CCONJ
fuelectenerg-3307	549	7	k.	k.	PROPN
fuelectenerg-3307	549	8	mohanram	mohanram	PROPN
fuelectenerg-3307	549	9	.	.	PUNCT
fuelectenerg-3307	550	1	“	"	PUNCT
fuelectenerg-3307	550	2	bi	bi	NOUN
fuelectenerg-3307	550	3	-	-	NOUN
fuelectenerg-3307	550	4	decomposition	decomposition	NOUN
fuelectenerg-3307	550	5	of	of	ADP
fuelectenerg-3307	550	6	large	large	ADJ
fuelectenerg-3307	550	7	boolean	boolean	ADJ
fuelectenerg-3307	550	8	functions	function	NOUN
fuelectenerg-3307	550	9	using	use	VERB
fuelectenerg-3307	550	10	blocking	block	VERB
fuelectenerg-3307	550	11	edge	edge	NOUN
fuelectenerg-3307	550	12	graphs	graph	NOUN
fuelectenerg-3307	550	13	”	"	PUNCT
fuelectenerg-3307	550	14	.	.	PUNCT
fuelectenerg-3307	551	1	in	in	ADP
fuelectenerg-3307	551	2	:	:	PUNCT
fuelectenerg-3307	551	3	2010	2010	NUM
fuelectenerg-3307	551	4	ieee	ieee	NOUN
fuelectenerg-3307	551	5	/	/	SYM
fuelectenerg-3307	551	6	acm	acm	PROPN
fuelectenerg-3307	551	7	international	international	ADJ
fuelectenerg-3307	551	8	conference	conference	NOUN
fuelectenerg-3307	551	9	on	on	ADP
fuelectenerg-3307	551	10	computer	computer	NOUN
fuelectenerg-3307	551	11	-	-	PUNCT
fuelectenerg-3307	551	12	aided	aid	VERB
fuelectenerg-3307	551	13	design	design	NOUN
fuelectenerg-3307	551	14	.	.	PUNCT
fuelectenerg-3307	552	1	iccad	iccad	PROPN
fuelectenerg-3307	552	2	.	.	PUNCT
fuelectenerg-3307	553	1	2010	2010	NUM
fuelectenerg-3307	553	2	,	,	PUNCT
fuelectenerg-3307	553	3	pp	pp	ADP
fuelectenerg-3307	553	4	.	.	PUNCT
fuelectenerg-3307	554	1	586–591	586–591	NUM
fuelectenerg-3307	554	2	.	.	PUNCT
fuelectenerg-3307	555	1	[	[	X
fuelectenerg-3307	555	2	15	15	NUM
fuelectenerg-3307	555	3	]	]	X
fuelectenerg-3307	555	4	d.	d.	PROPN
fuelectenerg-3307	555	5	cheng	cheng	PROPN
fuelectenerg-3307	555	6	and	and	CCONJ
fuelectenerg-3307	555	7	x.	x.	PROPN
fuelectenerg-3307	555	8	xu	xu	PROPN
fuelectenerg-3307	555	9	.	.	PUNCT
fuelectenerg-3307	556	1	“	"	PUNCT
fuelectenerg-3307	556	2	bi	bi	NOUN
fuelectenerg-3307	556	3	-	-	NOUN
fuelectenerg-3307	556	4	decomposition	decomposition	NOUN
fuelectenerg-3307	556	5	of	of	ADP
fuelectenerg-3307	556	6	logical	logical	ADJ
fuelectenerg-3307	556	7	mappings	mapping	NOUN
fuelectenerg-3307	556	8	via	via	ADP
fuelectenerg-3307	556	9	semitensor	semitensor	NOUN
fuelectenerg-3307	556	10	product	product	NOUN
fuelectenerg-3307	556	11	of	of	ADP
fuelectenerg-3307	556	12	matrices	matrix	NOUN
fuelectenerg-3307	556	13	”	"	PUNCT
fuelectenerg-3307	556	14	.	.	PUNCT
fuelectenerg-3307	557	1	in	in	ADP
fuelectenerg-3307	557	2	:	:	PUNCT
fuelectenerg-3307	557	3	automatica	automatica	PROPN
fuelectenerg-3307	557	4	49.7	49.7	NUM
fuelectenerg-3307	557	5	(	(	PUNCT
fuelectenerg-3307	557	6	2013	2013	NUM
fuelectenerg-3307	557	7	)	)	PUNCT
fuelectenerg-3307	557	8	,	,	PUNCT
fuelectenerg-3307	557	9	pp	pp	ADP
fuelectenerg-3307	557	10	.	.	PUNCT
fuelectenerg-3307	557	11	51–76	51–76	NUM
fuelectenerg-3307	557	12	.	.	PUNCT
fuelectenerg-3307	558	1	[	[	X
fuelectenerg-3307	558	2	16	16	NUM
fuelectenerg-3307	558	3	]	]	PUNCT
fuelectenerg-3307	558	4	b.	b.	PROPN
fuelectenerg-3307	558	5	steinbach	steinbach	PROPN
fuelectenerg-3307	558	6	.	.	PUNCT
fuelectenerg-3307	559	1	“	"	PUNCT
fuelectenerg-3307	559	2	generalized	generalized	ADJ
fuelectenerg-3307	559	3	lattices	lattice	NOUN
fuelectenerg-3307	559	4	of	of	ADP
fuelectenerg-3307	559	5	boolean	boolean	ADJ
fuelectenerg-3307	559	6	functions	function	NOUN
fuelectenerg-3307	559	7	utilized	utilize	VERB
fuelectenerg-3307	559	8	for	for	ADP
fuelectenerg-3307	559	9	derivative	derivative	ADJ
fuelectenerg-3307	559	10	operations	operation	NOUN
fuelectenerg-3307	559	11	”	"	PUNCT
fuelectenerg-3307	559	12	.	.	PUNCT
fuelectenerg-3307	560	1	in	in	ADP
fuelectenerg-3307	560	2	:	:	PUNCT
fuelectenerg-3307	560	3	materiały	materiały	PROPN
fuelectenerg-3307	560	4	konferencyjne	konferencyjne	PROPN
fuelectenerg-3307	560	5	knws’13	knws’13	PROPN
fuelectenerg-3307	560	6	.	.	PUNCT
fuelectenerg-3307	561	1	knws	knws	NOUN
fuelectenerg-3307	561	2	’	'	PUNCT
fuelectenerg-3307	561	3	13	13	NUM
fuelectenerg-3307	561	4	.	.	PUNCT
fuelectenerg-3307	561	5	łagów	łagów	PROPN
fuelectenerg-3307	561	6	,	,	PUNCT
fuelectenerg-3307	561	7	poland	poland	PROPN
fuelectenerg-3307	561	8	,	,	PUNCT
fuelectenerg-3307	561	9	2013	2013	NUM
fuelectenerg-3307	561	10	,	,	PUNCT
fuelectenerg-3307	561	11	pp	pp	ADJ
fuelectenerg-3307	561	12	.	.	PUNCT
fuelectenerg-3307	562	1	1–17	1–17	NOUN
fuelectenerg-3307	562	2	.	.	PUNCT
fuelectenerg-3307	563	1	[	[	X
fuelectenerg-3307	563	2	17	17	NUM
fuelectenerg-3307	563	3	]	]	PUNCT
fuelectenerg-3307	563	4	b.	b.	PROPN
fuelectenerg-3307	563	5	steinbach	steinbach	PROPN
fuelectenerg-3307	563	6	.	.	PUNCT
fuelectenerg-3307	564	1	“	"	PUNCT
fuelectenerg-3307	564	2	derivative	derivative	ADJ
fuelectenerg-3307	564	3	operations	operation	NOUN
fuelectenerg-3307	564	4	for	for	ADP
fuelectenerg-3307	564	5	lattices	lattice	NOUN
fuelectenerg-3307	564	6	of	of	ADP
fuelectenerg-3307	564	7	boolean	boolean	ADJ
fuelectenerg-3307	564	8	functions	function	NOUN
fuelectenerg-3307	564	9	”	"	PUNCT
fuelectenerg-3307	564	10	.	.	PUNCT
fuelectenerg-3307	565	1	in	in	ADP
fuelectenerg-3307	565	2	:	:	PUNCT
fuelectenerg-3307	565	3	proceedings	proceeding	NOUN
fuelectenerg-3307	565	4	of	of	ADP
fuelectenerg-3307	565	5	the	the	DET
fuelectenerg-3307	565	6	reed	reed	NOUN
fuelectenerg-3307	565	7	-	-	PUNCT
fuelectenerg-3307	565	8	muller	muller	NOUN
fuelectenerg-3307	565	9	workshop	workshop	NOUN
fuelectenerg-3307	565	10	2013	2013	NUM
fuelectenerg-3307	565	11	.	.	PUNCT
fuelectenerg-3307	566	1	rm	rm	NOUN
fuelectenerg-3307	566	2	’	’	PROPN
fuelectenerg-3307	566	3	13	13	NUM
fuelectenerg-3307	566	4	.	.	PUNCT
fuelectenerg-3307	567	1	toyama	toyama	PROPN
fuelectenerg-3307	567	2	,	,	PUNCT
fuelectenerg-3307	567	3	japan	japan	PROPN
fuelectenerg-3307	567	4	,	,	PUNCT
fuelectenerg-3307	567	5	2013	2013	NUM
fuelectenerg-3307	567	6	,	,	PUNCT
fuelectenerg-3307	567	7	pp	pp	ADJ
fuelectenerg-3307	567	8	.	.	PUNCT
fuelectenerg-3307	568	1	110–119	110–119	NUM
fuelectenerg-3307	568	2	.	.	PUNCT
fuelectenerg-3307	569	1	[	[	X
fuelectenerg-3307	569	2	18	18	NUM
fuelectenerg-3307	569	3	]	]	PUNCT
fuelectenerg-3307	569	4	b.	b.	PROPN
fuelectenerg-3307	569	5	steinbach	steinbach	PROPN
fuelectenerg-3307	569	6	and	and	CCONJ
fuelectenerg-3307	569	7	a.	a.	NOUN
fuelectenerg-3307	569	8	wereszczynski	wereszczynski	PROPN
fuelectenerg-3307	569	9	.	.	PUNCT
fuelectenerg-3307	570	1	“	"	PUNCT
fuelectenerg-3307	570	2	synthesis	synthesis	NOUN
fuelectenerg-3307	570	3	of	of	ADP
fuelectenerg-3307	570	4	multi	multi	ADJ
fuelectenerg-3307	570	5	-	-	ADJ
fuelectenerg-3307	570	6	level	level	ADJ
fuelectenerg-3307	570	7	circuits	circuit	NOUN
fuelectenerg-3307	570	8	using	use	VERB
fuelectenerg-3307	570	9	exor	exor	PROPN
fuelectenerg-3307	570	10	-	-	PUNCT
fuelectenerg-3307	570	11	gates	gate	NOUN
fuelectenerg-3307	570	12	”	"	PUNCT
fuelectenerg-3307	570	13	.	.	PUNCT
fuelectenerg-3307	571	1	in	in	ADP
fuelectenerg-3307	571	2	:	:	PUNCT
fuelectenerg-3307	571	3	ifip	ifip	NOUN
fuelectenerg-3307	571	4	wg	wg	ADP
fuelectenerg-3307	571	5	10.5	10.5	NUM
fuelectenerg-3307	571	6	workshop	workshop	NOUN
fuelectenerg-3307	571	7	on	on	ADP
fuelectenerg-3307	571	8	applications	application	NOUN
fuelectenerg-3307	571	9	of	of	ADP
fuelectenerg-3307	571	10	the	the	DET
fuelectenerg-3307	571	11	reed	reed	NOUN
fuelectenerg-3307	571	12	-	-	PUNCT
fuelectenerg-3307	571	13	muller	muller	NOUN
fuelectenerg-3307	571	14	expansion	expansion	NOUN
fuelectenerg-3307	571	15	in	in	ADP
fuelectenerg-3307	571	16	circuit	circuit	NOUN
fuelectenerg-3307	571	17	design	design	NOUN
fuelectenerg-3307	571	18	.	.	PUNCT
fuelectenerg-3307	572	1	chiba	chiba	PROPN
fuelectenerg-3307	572	2	makuhari	makuhari	PROPN
fuelectenerg-3307	572	3	,	,	PUNCT
fuelectenerg-3307	572	4	japan	japan	PROPN
fuelectenerg-3307	572	5	,	,	PUNCT
fuelectenerg-3307	572	6	1995	1995	NUM
fuelectenerg-3307	572	7	,	,	PUNCT
fuelectenerg-3307	572	8	pp	pp	ADP
fuelectenerg-3307	572	9	.	.	PUNCT
fuelectenerg-3307	573	1	161–168	161–168	NUM
fuelectenerg-3307	573	2	.	.	PUNCT
fuelectenerg-3307	574	1	[	[	X
fuelectenerg-3307	574	2	19	19	NUM
fuelectenerg-3307	574	3	]	]	PUNCT
fuelectenerg-3307	574	4	b.	b.	PROPN
fuelectenerg-3307	574	5	steinbach	steinbach	PROPN
fuelectenerg-3307	574	6	.	.	PUNCT
fuelectenerg-3307	575	1	“	"	PUNCT
fuelectenerg-3307	575	2	xboole	xboole	VERB
fuelectenerg-3307	575	3	a	a	DET
fuelectenerg-3307	575	4	toolbox	toolbox	NOUN
fuelectenerg-3307	575	5	for	for	ADP
fuelectenerg-3307	575	6	modelling	modelling	NOUN
fuelectenerg-3307	575	7	,	,	PUNCT
fuelectenerg-3307	575	8	simulation	simulation	NOUN
fuelectenerg-3307	575	9	,	,	PUNCT
fuelectenerg-3307	575	10	and	and	CCONJ
fuelectenerg-3307	575	11	analysis	analysis	NOUN
fuelectenerg-3307	575	12	of	of	ADP
fuelectenerg-3307	575	13	large	large	ADJ
fuelectenerg-3307	575	14	digital	digital	ADJ
fuelectenerg-3307	575	15	systems	system	NOUN
fuelectenerg-3307	575	16	”	"	PUNCT
fuelectenerg-3307	575	17	.	.	PUNCT
fuelectenerg-3307	576	1	in	in	ADP
fuelectenerg-3307	576	2	:	:	PUNCT
fuelectenerg-3307	576	3	systems	system	NOUN
fuelectenerg-3307	576	4	analysis	analysis	NOUN
fuelectenerg-3307	576	5	and	and	CCONJ
fuelectenerg-3307	576	6	modelling	model	VERB
fuelectenerg-3307	576	7	simulation	simulation	NOUN
fuelectenerg-3307	576	8	9.4	9.4	NUM
fuelectenerg-3307	576	9	(	(	PUNCT
fuelectenerg-3307	576	10	1992	1992	NUM
fuelectenerg-3307	576	11	)	)	PUNCT
fuelectenerg-3307	576	12	,	,	PUNCT
fuelectenerg-3307	576	13	pp	pp	ADP
fuelectenerg-3307	576	14	.	.	PUNCT
fuelectenerg-3307	577	1	297–312	297–312	NUM
fuelectenerg-3307	577	2	.	.	PUNCT
fuelectenerg-3307	578	1	[	[	X
fuelectenerg-3307	578	2	20	20	NUM
fuelectenerg-3307	578	3	]	]	PUNCT
fuelectenerg-3307	578	4	b.	b.	PROPN
fuelectenerg-3307	578	5	steinbach	steinbach	PROPN
fuelectenerg-3307	578	6	and	and	CCONJ
fuelectenerg-3307	578	7	m.	m.	PROPN
fuelectenerg-3307	578	8	werner	werner	PROPN
fuelectenerg-3307	578	9	.	.	PUNCT
fuelectenerg-3307	579	1	“	"	PUNCT
fuelectenerg-3307	579	2	xboole	xboole	NOUN
fuelectenerg-3307	579	3	-	-	PUNCT
fuelectenerg-3307	579	4	cuda	cuda	PROPN
fuelectenerg-3307	579	5	fast	fast	ADJ
fuelectenerg-3307	579	6	calculations	calculation	NOUN
fuelectenerg-3307	579	7	of	of	ADP
fuelectenerg-3307	579	8	large	large	ADJ
fuelectenerg-3307	579	9	boolean	boolean	ADJ
fuelectenerg-3307	579	10	problems	problem	NOUN
fuelectenerg-3307	579	11	on	on	ADP
fuelectenerg-3307	579	12	the	the	DET
fuelectenerg-3307	579	13	gpu	gpu	NOUN
fuelectenerg-3307	579	14	”	"	PUNCT
fuelectenerg-3307	579	15	.	.	PUNCT
fuelectenerg-3307	580	1	in	in	ADP
fuelectenerg-3307	580	2	:	:	PUNCT
fuelectenerg-3307	580	3	problems	problem	NOUN
fuelectenerg-3307	580	4	and	and	CCONJ
fuelectenerg-3307	580	5	new	new	ADJ
fuelectenerg-3307	580	6	solutions	solution	NOUN
fuelectenerg-3307	580	7	in	in	ADP
fuelectenerg-3307	580	8	the	the	DET
fuelectenerg-3307	580	9	boolean	boolean	ADJ
fuelectenerg-3307	580	10	domain	domain	NOUN
fuelectenerg-3307	580	11	.	.	PUNCT
fuelectenerg-3307	581	1	ed	ed	NOUN
fuelectenerg-3307	581	2	.	.	PUNCT
fuelectenerg-3307	582	1	by	by	ADP
fuelectenerg-3307	582	2	b.	b.	PROPN
fuelectenerg-3307	582	3	steinbach	steinbach	PROPN
fuelectenerg-3307	582	4	.	.	PUNCT
fuelectenerg-3307	583	1	newcastle	newcastle	PROPN
fuelectenerg-3307	583	2	upon	upon	SCONJ
fuelectenerg-3307	583	3	tyne	tyne	PROPN
fuelectenerg-3307	583	4	,	,	PUNCT
fuelectenerg-3307	583	5	uk	uk	PROPN
fuelectenerg-3307	583	6	:	:	PUNCT
fuelectenerg-3307	583	7	cambridge	cambridge	PROPN
fuelectenerg-3307	583	8	scholars	scholars	PROPN
fuelectenerg-3307	583	9	publishing	publishing	PROPN
fuelectenerg-3307	583	10	,	,	PUNCT
fuelectenerg-3307	583	11	2016	2016	NUM
fuelectenerg-3307	583	12	,	,	PUNCT
fuelectenerg-3307	583	13	pp	pp	ADJ
fuelectenerg-3307	583	14	.	.	PUNCT
fuelectenerg-3307	584	1	117–149	117–149	NUM
fuelectenerg-3307	584	2	.	.	X
fuelectenerg-3307	584	3	240	240	NUM
fuelectenerg-3307	584	4	b.	b.	PROPN
fuelectenerg-3307	584	5	steinbach	steinbach	PROPN
fuelectenerg-3307	584	6	,	,	PUNCT
fuelectenerg-3307	584	7	c.	c.	PROPN
fuelectenerg-3307	584	8	posthoff	posthoff	PROPN
fuelectenerg-3307	584	9	compact	compact	ADJ
fuelectenerg-3307	584	10	xor	xor	PROPN
fuelectenerg-3307	584	11	-	-	PUNCT
fuelectenerg-3307	584	12	bi	bi	NOUN
fuelectenerg-3307	584	13	-	-	NOUN
fuelectenerg-3307	584	14	decomposition	decomposition	NOUN
fuelectenerg-3307	584	15	for	for	ADP
fuelectenerg-3307	584	16	lattices	lattice	NOUN
fuelectenerg-3307	584	17	of	of	ADP
fuelectenerg-3307	584	18	boolean	boolean	ADJ
fuelectenerg-3307	584	19	functions	function	NOUN
fuelectenerg-3307	584	20	pb	pb	ADP
