id	sid	tid	token	lemma	pos
bracis-28359	1	1	an	an	DET
bracis-28359	1	2	incremental	incremental	ADJ
bracis-28359	1	3	maxsat	maxsat	NOUN
bracis-28359	1	4	-	-	PUNCT
bracis-28359	1	5	based	base	VERB
bracis-28359	1	6	model	model	NOUN
bracis-28359	1	7	to	to	PART
bracis-28359	1	8	 	 	SPACE
bracis-28359	1	9	learn	learn	VERB
bracis-28359	1	10	interpretable	interpretable	ADJ
bracis-28359	1	11	and	and	CCONJ
bracis-28359	1	12	 	 	SPACE
bracis-28359	1	13	balanced	balanced	ADJ
bracis-28359	1	14	classification	classification	NOUN
bracis-28359	1	15	rules	rule	NOUN
bracis-28359	1	16	|	|	ADV
bracis-28359	1	17	springer	springer	NOUN
bracis-28359	1	18	nature	nature	NOUN
bracis-28359	1	19	link	link	PROPN
bracis-28359	1	20	(	(	PUNCT
bracis-28359	1	21	formerly	formerly	ADV
bracis-28359	1	22	springerlink	springerlink	NOUN
bracis-28359	1	23	)	)	PUNCT
bracis-28359	1	24	skip	skip	VERB
bracis-28359	1	25	to	to	ADP
bracis-28359	1	26	main	main	ADJ
bracis-28359	1	27	content	content	NOUN
bracis-28359	1	28	advertisement	advertisement	NOUN
bracis-28359	1	29	log	log	NOUN
bracis-28359	1	30	in	in	ADP
bracis-28359	1	31	menu	menu	NOUN
bracis-28359	1	32	find	find	VERB
bracis-28359	1	33	a	a	DET
bracis-28359	1	34	journal	journal	NOUN
bracis-28359	1	35	publish	publish	VERB
bracis-28359	1	36	with	with	ADP
bracis-28359	1	37	us	we	PRON
bracis-28359	1	38	track	track	VERB
bracis-28359	1	39	your	your	PRON
bracis-28359	1	40	research	research	NOUN
bracis-28359	1	41	search	search	NOUN
bracis-28359	1	42	cart	cart	NOUN
bracis-28359	1	43	home	home	NOUN
bracis-28359	1	44	intelligent	intelligent	ADJ
bracis-28359	1	45	systems	system	NOUN
bracis-28359	1	46	conference	conference	NOUN
bracis-28359	1	47	paper	paper	NOUN
bracis-28359	1	48	an	an	DET
bracis-28359	1	49	incremental	incremental	ADJ
bracis-28359	1	50	maxsat	maxsat	ADV
bracis-28359	1	51	-	-	PUNCT
bracis-28359	1	52	based	base	VERB
bracis-28359	1	53	model	model	NOUN
bracis-28359	1	54	to	to	PART
bracis-28359	1	55	 	 	SPACE
bracis-28359	1	56	learn	learn	VERB
bracis-28359	1	57	interpretable	interpretable	ADJ
bracis-28359	1	58	and	and	CCONJ
bracis-28359	1	59	 	 	SPACE
bracis-28359	1	60	balanced	balanced	ADJ
bracis-28359	1	61	classification	classification	NOUN
bracis-28359	1	62	rules	rule	NOUN
bracis-28359	1	63	conference	conference	NOUN
bracis-28359	1	64	paper	paper	NOUN
bracis-28359	1	65	first	first	ADV
bracis-28359	1	66	online	online	ADV
bracis-28359	1	67	:	:	PUNCT
bracis-28359	1	68	12	12	NUM
bracis-28359	1	69	october	october	NOUN
bracis-28359	1	70	2023	2023	NUM
bracis-28359	1	71	pp	pp	ADP
bracis-28359	1	72	227–242	227–242	NUM
bracis-28359	1	73	cite	cite	VERB
bracis-28359	1	74	this	this	DET
bracis-28359	1	75	conference	conference	NOUN
bracis-28359	1	76	paper	paper	NOUN
bracis-28359	1	77	access	access	NOUN
bracis-28359	1	78	provided	provide	VERB
bracis-28359	1	79	by	by	ADP
bracis-28359	1	80	university	university	PROPN
bracis-28359	1	81	of	of	ADP
bracis-28359	1	82	notre	notre	PROPN
bracis-28359	1	83	dame	dame	PROPN
bracis-28359	1	84	hesburgh	hesburgh	PROPN
bracis-28359	1	85	library	library	PROPN
bracis-28359	1	86	download	download	PROPN
bracis-28359	1	87	book	book	NOUN
bracis-28359	1	88	pdf	pdf	PROPN
bracis-28359	1	89	download	download	NOUN
bracis-28359	1	90	book	book	NOUN
bracis-28359	1	91	epub	epub	PROPN
bracis-28359	1	92	intelligent	intelligent	ADJ
bracis-28359	1	93	systems	system	NOUN
bracis-28359	1	94	(	(	PUNCT
bracis-28359	1	95	bracis	bracis	NOUN
bracis-28359	1	96	2023	2023	NUM
bracis-28359	1	97	)	)	PUNCT
bracis-28359	1	98	an	an	DET
bracis-28359	1	99	incremental	incremental	ADJ
bracis-28359	1	100	maxsat	maxsat	NOUN
bracis-28359	1	101	-	-	PUNCT
bracis-28359	1	102	based	base	VERB
bracis-28359	1	103	model	model	NOUN
bracis-28359	1	104	to	to	PART
bracis-28359	1	105	 	 	SPACE
bracis-28359	1	106	learn	learn	VERB
bracis-28359	1	107	interpretable	interpretable	ADJ
bracis-28359	1	108	and	and	CCONJ
bracis-28359	1	109	 	 	SPACE
bracis-28359	1	110	balanced	balanced	ADJ
bracis-28359	1	111	classification	classification	NOUN
bracis-28359	1	112	rules	rule	NOUN
bracis-28359	1	113	download	download	VERB
bracis-28359	1	114	book	book	NOUN
bracis-28359	1	115	pdf	pdf	PROPN
bracis-28359	1	116	download	download	NOUN
bracis-28359	1	117	book	book	PROPN
bracis-28359	1	118	epub	epub	PROPN
bracis-28359	1	119	antônio	antônio	PROPN
bracis-28359	1	120	carlos	carlos	PROPN
bracis-28359	1	121	souza	souza	PROPN
bracis-28359	1	122	ferreira	ferreira	PROPN
bracis-28359	1	123	júnior9	júnior9	PROPN
bracis-28359	1	124	&	&	CCONJ
bracis-28359	1	125	thiago	thiago	PROPN
bracis-28359	1	126	alves	alves	PROPN
bracis-28359	1	127	rocha9	rocha9	PROPN
bracis-28359	1	128	  	  	SPACE
bracis-28359	1	129	part	part	NOUN
bracis-28359	1	130	of	of	ADP
bracis-28359	1	131	the	the	DET
bracis-28359	1	132	book	book	NOUN
bracis-28359	1	133	series	series	NOUN
bracis-28359	1	134	:	:	PUNCT
bracis-28359	1	135	lecture	lecture	NOUN
bracis-28359	1	136	notes	note	NOUN
bracis-28359	1	137	in	in	ADP
bracis-28359	1	138	computer	computer	NOUN
bracis-28359	1	139	science	science	NOUN
bracis-28359	1	140	(	(	PUNCT
bracis-28359	1	141	(	(	PUNCT
bracis-28359	1	142	lnai	lnai	ADJ
bracis-28359	1	143	,	,	PUNCT
bracis-28359	1	144	volume	volume	NOUN
bracis-28359	1	145	14195	14195	NUM
bracis-28359	1	146	)	)	PUNCT
bracis-28359	1	147	)	)	PUNCT
bracis-28359	1	148	included	include	VERB
bracis-28359	1	149	in	in	ADP
bracis-28359	1	150	the	the	DET
bracis-28359	1	151	following	follow	VERB
bracis-28359	1	152	conference	conference	NOUN
bracis-28359	1	153	series	series	NOUN
bracis-28359	1	154	:	:	PUNCT
bracis-28359	1	155	brazilian	brazilian	ADJ
bracis-28359	1	156	conference	conference	NOUN
bracis-28359	1	157	on	on	ADP
bracis-28359	1	158	intelligent	intelligent	ADJ
bracis-28359	1	159	systems	system	NOUN
bracis-28359	1	160	536	536	NUM
bracis-28359	1	161	accesses	access	NOUN
bracis-28359	1	162	abstract	abstract	ADV
bracis-28359	1	163	the	the	DET
bracis-28359	1	164	increasing	increase	VERB
bracis-28359	1	165	advancements	advancement	NOUN
bracis-28359	1	166	in	in	ADP
bracis-28359	1	167	the	the	DET
bracis-28359	1	168	field	field	NOUN
bracis-28359	1	169	of	of	ADP
bracis-28359	1	170	machine	machine	NOUN
bracis-28359	1	171	learning	learning	NOUN
bracis-28359	1	172	have	have	AUX
bracis-28359	1	173	led	lead	VERB
bracis-28359	1	174	to	to	ADP
bracis-28359	1	175	the	the	DET
bracis-28359	1	176	development	development	NOUN
bracis-28359	1	177	of	of	ADP
bracis-28359	1	178	numerous	numerous	ADJ
bracis-28359	1	179	applications	application	NOUN
bracis-28359	1	180	that	that	PRON
bracis-28359	1	181	effectively	effectively	ADV
bracis-28359	1	182	address	address	VERB
bracis-28359	1	183	a	a	DET
bracis-28359	1	184	wide	wide	ADJ
bracis-28359	1	185	range	range	NOUN
bracis-28359	1	186	of	of	ADP
bracis-28359	1	187	problems	problem	NOUN
bracis-28359	1	188	with	with	ADP
bracis-28359	1	189	accurate	accurate	ADJ
bracis-28359	1	190	predictions	prediction	NOUN
bracis-28359	1	191	.	.	PUNCT
bracis-28359	2	1	however	however	ADV
bracis-28359	2	2	,	,	PUNCT
bracis-28359	2	3	in	in	ADP
bracis-28359	2	4	certain	certain	ADJ
bracis-28359	2	5	cases	case	NOUN
bracis-28359	2	6	,	,	PUNCT
bracis-28359	2	7	accuracy	accuracy	NOUN
bracis-28359	2	8	alone	alone	ADV
bracis-28359	2	9	may	may	AUX
bracis-28359	2	10	not	not	PART
bracis-28359	2	11	be	be	AUX
bracis-28359	2	12	sufficient	sufficient	ADJ
bracis-28359	2	13	.	.	PUNCT
bracis-28359	3	1	many	many	ADJ
bracis-28359	3	2	real	real	ADJ
bracis-28359	3	3	-	-	PUNCT
bracis-28359	3	4	world	world	NOUN
bracis-28359	3	5	problems	problem	NOUN
bracis-28359	3	6	also	also	ADV
bracis-28359	3	7	demand	demand	VERB
bracis-28359	3	8	explanations	explanation	NOUN
bracis-28359	3	9	and	and	CCONJ
bracis-28359	3	10	interpretability	interpretability	NOUN
bracis-28359	3	11	behind	behind	ADP
bracis-28359	3	12	the	the	DET
bracis-28359	3	13	predictions	prediction	NOUN
bracis-28359	3	14	.	.	PUNCT
bracis-28359	4	1	one	one	NUM
bracis-28359	4	2	of	of	ADP
bracis-28359	4	3	the	the	DET
bracis-28359	4	4	most	most	ADV
bracis-28359	4	5	popular	popular	ADJ
bracis-28359	4	6	interpretable	interpretable	ADJ
bracis-28359	4	7	models	model	NOUN
bracis-28359	4	8	that	that	PRON
bracis-28359	4	9	are	be	AUX
bracis-28359	4	10	classification	classification	NOUN
bracis-28359	4	11	rules	rule	NOUN
bracis-28359	4	12	.	.	PUNCT
bracis-28359	5	1	this	this	DET
bracis-28359	5	2	work	work	NOUN
bracis-28359	5	3	aims	aim	VERB
bracis-28359	5	4	to	to	PART
bracis-28359	5	5	propose	propose	VERB
bracis-28359	5	6	an	an	DET
bracis-28359	5	7	incremental	incremental	ADJ
bracis-28359	5	8	model	model	NOUN
bracis-28359	5	9	for	for	ADP
bracis-28359	5	10	learning	learn	VERB
bracis-28359	5	11	interpretable	interpretable	ADJ
bracis-28359	5	12	and	and	CCONJ
bracis-28359	5	13	balanced	balanced	ADJ
bracis-28359	5	14	rules	rule	NOUN
bracis-28359	5	15	based	base	VERB
bracis-28359	5	16	on	on	ADP
bracis-28359	5	17	maxsat	maxsat	ADJ
bracis-28359	5	18	,	,	PUNCT
bracis-28359	5	19	called	call	VERB
bracis-28359	5	20	imlib	imlib	NOUN
bracis-28359	5	21	.	.	PUNCT
bracis-28359	6	1	this	this	DET
bracis-28359	6	2	new	new	ADJ
bracis-28359	6	3	model	model	NOUN
bracis-28359	6	4	was	be	AUX
bracis-28359	6	5	based	base	VERB
bracis-28359	6	6	on	on	ADP
bracis-28359	6	7	two	two	NUM
bracis-28359	6	8	other	other	ADJ
bracis-28359	6	9	approaches	approach	NOUN
bracis-28359	6	10	,	,	PUNCT
bracis-28359	6	11	one	one	NUM
bracis-28359	6	12	based	base	VERB
bracis-28359	6	13	on	on	ADP
bracis-28359	6	14	sat	sit	VERB
bracis-28359	6	15	and	and	CCONJ
bracis-28359	6	16	the	the	DET
bracis-28359	6	17	other	other	ADJ
bracis-28359	6	18	on	on	ADP
bracis-28359	6	19	maxsat	maxsat	ADJ
bracis-28359	6	20	.	.	PUNCT
bracis-28359	7	1	the	the	DET
bracis-28359	7	2	one	one	NOUN
bracis-28359	7	3	based	base	VERB
bracis-28359	7	4	on	on	ADP
bracis-28359	7	5	sat	sit	VERB
bracis-28359	7	6	limits	limit	NOUN
bracis-28359	7	7	the	the	DET
bracis-28359	7	8	size	size	NOUN
bracis-28359	7	9	of	of	ADP
bracis-28359	7	10	each	each	DET
bracis-28359	7	11	generated	generate	VERB
bracis-28359	7	12	rule	rule	NOUN
bracis-28359	7	13	,	,	PUNCT
bracis-28359	7	14	making	make	VERB
bracis-28359	7	15	it	it	PRON
bracis-28359	7	16	possible	possible	ADJ
bracis-28359	7	17	to	to	PART
bracis-28359	7	18	balance	balance	VERB
bracis-28359	7	19	them	they	PRON
bracis-28359	7	20	.	.	PUNCT
bracis-28359	8	1	we	we	PRON
bracis-28359	8	2	suggest	suggest	VERB
bracis-28359	8	3	that	that	SCONJ
bracis-28359	8	4	such	such	DET
bracis-28359	8	5	a	a	DET
bracis-28359	8	6	set	set	NOUN
bracis-28359	8	7	of	of	ADP
bracis-28359	8	8	rules	rule	NOUN
bracis-28359	8	9	seem	seem	VERB
bracis-28359	8	10	more	more	ADV
bracis-28359	8	11	natural	natural	ADJ
bracis-28359	8	12	to	to	PART
bracis-28359	8	13	be	be	AUX
bracis-28359	8	14	understood	understand	VERB
bracis-28359	8	15	compared	compare	VERB
bracis-28359	8	16	to	to	ADP
bracis-28359	8	17	a	a	DET
bracis-28359	8	18	mixture	mixture	NOUN
bracis-28359	8	19	of	of	ADP
bracis-28359	8	20	large	large	ADJ
bracis-28359	8	21	and	and	CCONJ
bracis-28359	8	22	small	small	ADJ
bracis-28359	8	23	rules	rule	NOUN
bracis-28359	8	24	.	.	PUNCT
bracis-28359	9	1	the	the	DET
bracis-28359	9	2	approach	approach	NOUN
bracis-28359	9	3	based	base	VERB
bracis-28359	9	4	on	on	ADP
bracis-28359	9	5	maxsat	maxsat	ADJ
bracis-28359	9	6	,	,	PUNCT
bracis-28359	9	7	called	call	VERB
bracis-28359	9	8	imli	imli	ADV
bracis-28359	9	9	,	,	PUNCT
bracis-28359	9	10	presents	present	VERB
bracis-28359	9	11	a	a	DET
bracis-28359	9	12	technique	technique	NOUN
bracis-28359	9	13	to	to	PART
bracis-28359	9	14	increase	increase	VERB
bracis-28359	9	15	performance	performance	NOUN
bracis-28359	9	16	that	that	PRON
bracis-28359	9	17	involves	involve	VERB
bracis-28359	9	18	learning	learn	VERB
bracis-28359	9	19	a	a	DET
bracis-28359	9	20	set	set	NOUN
bracis-28359	9	21	of	of	ADP
bracis-28359	9	22	rules	rule	NOUN
bracis-28359	9	23	by	by	ADP
bracis-28359	9	24	incrementally	incrementally	ADV
bracis-28359	9	25	applying	apply	VERB
bracis-28359	9	26	the	the	DET
bracis-28359	9	27	model	model	NOUN
bracis-28359	9	28	in	in	ADP
bracis-28359	9	29	a	a	DET
bracis-28359	9	30	dataset	dataset	NOUN
bracis-28359	9	31	.	.	PUNCT
bracis-28359	10	1	finally	finally	ADV
bracis-28359	10	2	,	,	PUNCT
bracis-28359	10	3	imlib	imlib	PROPN
bracis-28359	10	4	and	and	CCONJ
bracis-28359	10	5	imli	imli	ADV
bracis-28359	10	6	are	be	AUX
bracis-28359	10	7	compared	compare	VERB
bracis-28359	10	8	using	use	VERB
bracis-28359	10	9	diverse	diverse	ADJ
bracis-28359	10	10	databases	database	NOUN
bracis-28359	10	11	.	.	PUNCT
bracis-28359	11	1	imlib	imlib	PROPN
bracis-28359	11	2	obtained	obtain	VERB
bracis-28359	11	3	results	result	NOUN
bracis-28359	11	4	comparable	comparable	ADJ
bracis-28359	11	5	to	to	ADP
bracis-28359	11	6	imli	imli	ADV
bracis-28359	11	7	in	in	ADP
bracis-28359	11	8	terms	term	NOUN
bracis-28359	11	9	of	of	ADP
bracis-28359	11	10	accuracy	accuracy	NOUN
bracis-28359	11	11	,	,	PUNCT
bracis-28359	11	12	generating	generate	VERB
bracis-28359	11	13	more	more	ADV
bracis-28359	11	14	balanced	balanced	ADJ
bracis-28359	11	15	rules	rule	NOUN
bracis-28359	11	16	with	with	ADP
bracis-28359	11	17	smaller	small	ADJ
bracis-28359	11	18	sizes	size	NOUN
bracis-28359	11	19	.	.	PUNCT
bracis-28359	12	1	access	access	NOUN
bracis-28359	12	2	provided	provide	VERB
bracis-28359	12	3	by	by	ADP
bracis-28359	12	4	university	university	PROPN
bracis-28359	12	5	of	of	ADP
bracis-28359	12	6	notre	notre	PROPN
bracis-28359	12	7	dame	dame	PROPN
bracis-28359	12	8	hesburgh	hesburgh	PROPN
bracis-28359	12	9	library	library	PROPN
bracis-28359	12	10	.	.	PUNCT
bracis-28359	13	1	download	download	PROPN
bracis-28359	13	2	conference	conference	NOUN
bracis-28359	13	3	paper	paper	NOUN
bracis-28359	13	4	pdf	pdf	NOUN
bracis-28359	13	5	similar	similar	ADJ
bracis-28359	13	6	content	content	NOUN
bracis-28359	13	7	being	be	AUX
bracis-28359	13	8	viewed	view	VERB
bracis-28359	13	9	by	by	ADP
bracis-28359	13	10	others	other	NOUN
bracis-28359	13	11	conceptual	conceptual	ADJ
bracis-28359	13	12	challenges	challenge	NOUN
bracis-28359	13	13	for	for	ADP
bracis-28359	13	14	interpretable	interpretable	ADJ
bracis-28359	13	15	machine	machine	NOUN
bracis-28359	13	16	learning	learn	VERB
bracis-28359	13	17	article	article	NOUN
bracis-28359	13	18	open	open	ADJ
bracis-28359	13	19	access	access	NOUN
bracis-28359	13	20	01	01	NUM
bracis-28359	13	21	march	march	PROPN
bracis-28359	13	22	2022	2022	NUM
bracis-28359	13	23	interpretable	interpretable	ADJ
bracis-28359	13	24	machine	machine	NOUN
bracis-28359	13	25	learning	learning	NOUN
bracis-28359	13	26	–	–	PUNCT
bracis-28359	13	27	a	a	DET
bracis-28359	13	28	brief	brief	ADJ
bracis-28359	13	29	history	history	NOUN
bracis-28359	13	30	,	,	PUNCT
bracis-28359	13	31	state	state	NOUN
bracis-28359	13	32	-	-	PUNCT
bracis-28359	13	33	of	of	ADP
bracis-28359	13	34	-	-	PUNCT
bracis-28359	13	35	the	the	DET
bracis-28359	13	36	-	-	PUNCT
bracis-28359	13	37	art	art	NOUN
bracis-28359	13	38	and	and	CCONJ
bracis-28359	13	39	challenges	challenge	VERB
bracis-28359	13	40	chapter	chapter	NOUN
bracis-28359	13	41	©	©	NOUN
bracis-28359	13	42	2020	2020	NUM
bracis-28359	13	43	active	active	ADJ
bracis-28359	13	44	class	class	NOUN
bracis-28359	13	45	incremental	incremental	ADJ
bracis-28359	13	46	learning	learning	NOUN
bracis-28359	13	47	for	for	ADP
bracis-28359	13	48	 	 	SPACE
bracis-28359	13	49	imbalanced	imbalanced	ADJ
bracis-28359	13	50	datasets	dataset	NOUN
bracis-28359	13	51	chapter	chapter	NOUN
bracis-28359	13	52	©	©	PROPN
bracis-28359	13	53	2020	2020	NUM
bracis-28359	13	54	explore	explore	VERB
bracis-28359	13	55	related	relate	VERB
bracis-28359	13	56	subjects	subject	NOUN
bracis-28359	13	57	discover	discover	VERB
bracis-28359	13	58	the	the	DET
bracis-28359	13	59	latest	late	ADJ
bracis-28359	13	60	articles	article	NOUN
bracis-28359	13	61	,	,	PUNCT
bracis-28359	13	62	books	book	NOUN
bracis-28359	13	63	and	and	CCONJ
bracis-28359	13	64	news	news	NOUN
bracis-28359	13	65	in	in	ADP
bracis-28359	13	66	related	related	ADJ
bracis-28359	13	67	subjects	subject	NOUN
bracis-28359	13	68	,	,	PUNCT
bracis-28359	13	69	suggested	suggest	VERB
bracis-28359	13	70	using	use	VERB
bracis-28359	13	71	machine	machine	NOUN
bracis-28359	13	72	learning	learning	NOUN
bracis-28359	13	73	.	.	PUNCT
bracis-28359	14	1	categorization	categorization	NOUN
bracis-28359	14	2	learning	learn	VERB
bracis-28359	14	3	algorithms	algorithm	NOUN
bracis-28359	14	4	learning	learn	VERB
bracis-28359	14	5	theory	theory	NOUN
bracis-28359	14	6	machine	machine	NOUN
bracis-28359	14	7	learning	learning	NOUN
bracis-28359	14	8	model	model	NOUN
bracis-28359	14	9	theory	theory	NOUN
bracis-28359	14	10	statistical	statistical	ADJ
bracis-28359	14	11	learning	learn	VERB
bracis-28359	14	12	1	1	NUM
bracis-28359	14	13	introduction	introduction	NOUN
bracis-28359	14	14	the	the	DET
bracis-28359	14	15	success	success	NOUN
bracis-28359	14	16	of	of	ADP
bracis-28359	14	17	machine	machine	NOUN
bracis-28359	14	18	learning	learning	NOUN
bracis-28359	14	19	(	(	PUNCT
bracis-28359	14	20	ml	ml	NOUN
bracis-28359	14	21	)	)	PUNCT
bracis-28359	14	22	in	in	ADP
bracis-28359	14	23	recent	recent	ADJ
bracis-28359	14	24	years	year	NOUN
bracis-28359	14	25	has	have	AUX
bracis-28359	14	26	led	lead	VERB
bracis-28359	14	27	to	to	ADP
bracis-28359	14	28	a	a	DET
bracis-28359	14	29	growing	grow	VERB
bracis-28359	14	30	advancement	advancement	NOUN
bracis-28359	14	31	in	in	ADP
bracis-28359	14	32	studies	study	NOUN
bracis-28359	14	33	in	in	ADP
bracis-28359	14	34	this	this	DET
bracis-28359	14	35	area	area	NOUN
bracis-28359	14	36	[	[	X
bracis-28359	14	37	2	2	NUM
bracis-28359	14	38	,	,	PUNCT
bracis-28359	14	39	8	8	NUM
bracis-28359	14	40	,	,	PUNCT
bracis-28359	14	41	12	12	NUM
bracis-28359	14	42	]	]	PUNCT
bracis-28359	14	43	.	.	PUNCT
bracis-28359	15	1	several	several	ADJ
bracis-28359	15	2	applications	application	NOUN
bracis-28359	15	3	have	have	AUX
bracis-28359	15	4	emerged	emerge	VERB
bracis-28359	15	5	with	with	ADP
bracis-28359	15	6	the	the	DET
bracis-28359	15	7	aim	aim	NOUN
bracis-28359	15	8	of	of	ADP
bracis-28359	15	9	circumventing	circumvent	VERB
bracis-28359	15	10	various	various	ADJ
bracis-28359	15	11	problems	problem	NOUN
bracis-28359	15	12	and	and	CCONJ
bracis-28359	15	13	situations	situation	NOUN
bracis-28359	15	14	[	[	X
bracis-28359	15	15	4	4	NUM
bracis-28359	15	16	,	,	PUNCT
bracis-28359	15	17	14	14	NUM
bracis-28359	15	18	,	,	PUNCT
bracis-28359	15	19	20	20	NUM
bracis-28359	15	20	]	]	PUNCT
bracis-28359	15	21	.	.	PUNCT
bracis-28359	16	1	one	one	NUM
bracis-28359	16	2	such	such	ADJ
bracis-28359	16	3	problem	problem	NOUN
bracis-28359	16	4	is	be	AUX
bracis-28359	16	5	the	the	DET
bracis-28359	16	6	lack	lack	NOUN
bracis-28359	16	7	of	of	ADP
bracis-28359	16	8	explainability	explainability	NOUN
bracis-28359	16	9	of	of	ADP
bracis-28359	16	10	prediction	prediction	NOUN
bracis-28359	16	11	models	model	NOUN
bracis-28359	16	12	.	.	PUNCT
bracis-28359	17	1	this	this	PRON
bracis-28359	17	2	directly	directly	ADV
bracis-28359	17	3	affects	affect	VERB
bracis-28359	17	4	the	the	DET
bracis-28359	17	5	reliability	reliability	NOUN
bracis-28359	17	6	of	of	ADP
bracis-28359	17	7	using	use	VERB
bracis-28359	17	8	these	these	DET
bracis-28359	17	9	applications	application	NOUN
bracis-28359	17	10	in	in	ADP
bracis-28359	17	11	critical	critical	ADJ
bracis-28359	17	12	situations	situation	NOUN
bracis-28359	17	13	involving	involve	VERB
bracis-28359	17	14	,	,	PUNCT
bracis-28359	17	15	for	for	ADP
bracis-28359	17	16	example	example	NOUN
bracis-28359	17	17	,	,	PUNCT
bracis-28359	17	18	finance	finance	NOUN
bracis-28359	17	19	,	,	PUNCT
bracis-28359	17	20	autonomous	autonomous	ADJ
bracis-28359	17	21	systems	system	NOUN
bracis-28359	17	22	,	,	PUNCT
bracis-28359	17	23	damage	damage	NOUN
bracis-28359	17	24	to	to	ADP
bracis-28359	17	25	equipment	equipment	NOUN
bracis-28359	17	26	,	,	PUNCT
bracis-28359	17	27	the	the	DET
bracis-28359	17	28	environment	environment	NOUN
bracis-28359	17	29	,	,	PUNCT
bracis-28359	17	30	and	and	CCONJ
bracis-28359	17	31	even	even	ADV
bracis-28359	17	32	lives	live	VERB
bracis-28359	17	33	[	[	X
bracis-28359	17	34	1	1	NUM
bracis-28359	17	35	,	,	PUNCT
bracis-28359	17	36	7	7	NUM
bracis-28359	17	37	,	,	PUNCT
bracis-28359	17	38	23	23	NUM
bracis-28359	17	39	]	]	PUNCT
bracis-28359	17	40	.	.	PUNCT
bracis-28359	18	1	that	that	PRON
bracis-28359	18	2	said	say	VERB
bracis-28359	18	3	,	,	PUNCT
bracis-28359	18	4	some	some	DET
bracis-28359	18	5	works	work	VERB
bracis-28359	18	6	seek	seek	VERB
bracis-28359	18	7	to	to	PART
bracis-28359	18	8	develop	develop	VERB
bracis-28359	18	9	approaches	approach	NOUN
bracis-28359	18	10	that	that	PRON
bracis-28359	18	11	bring	bring	VERB
bracis-28359	18	12	explainability	explainability	NOUN
bracis-28359	18	13	to	to	ADP
bracis-28359	18	14	their	their	PRON
bracis-28359	18	15	predictions	prediction	NOUN
bracis-28359	18	16	[	[	X
bracis-28359	18	17	13	13	NUM
bracis-28359	18	18	,	,	PUNCT
bracis-28359	18	19	21	21	NUM
bracis-28359	18	20	,	,	PUNCT
bracis-28359	18	21	22	22	NUM
bracis-28359	18	22	]	]	PUNCT
bracis-28359	18	23	.	.	PUNCT
bracis-28359	19	1	precise	precise	ADJ
bracis-28359	19	2	predictions	prediction	NOUN
bracis-28359	19	3	with	with	ADP
bracis-28359	19	4	high	high	ADJ
bracis-28359	19	5	levels	level	NOUN
bracis-28359	19	6	of	of	ADP
bracis-28359	19	7	interpretability	interpretability	NOUN
bracis-28359	19	8	are	be	AUX
bracis-28359	19	9	often	often	ADV
bracis-28359	19	10	not	not	PART
bracis-28359	19	11	a	a	DET
bracis-28359	19	12	simple	simple	ADJ
bracis-28359	19	13	task	task	NOUN
bracis-28359	19	14	.	.	PUNCT
bracis-28359	20	1	there	there	PRON
bracis-28359	20	2	are	be	VERB
bracis-28359	20	3	some	some	DET
bracis-28359	20	4	works	work	NOUN
bracis-28359	20	5	that	that	PRON
bracis-28359	20	6	try	try	VERB
bracis-28359	20	7	to	to	PART
bracis-28359	20	8	solve	solve	VERB
bracis-28359	20	9	this	this	DET
bracis-28359	20	10	problem	problem	NOUN
bracis-28359	20	11	by	by	ADP
bracis-28359	20	12	balancing	balance	VERB
bracis-28359	20	13	the	the	DET
bracis-28359	20	14	accuracy	accuracy	NOUN
bracis-28359	20	15	of	of	ADP
bracis-28359	20	16	the	the	DET
bracis-28359	20	17	prediction	prediction	NOUN
bracis-28359	20	18	with	with	ADP
bracis-28359	20	19	the	the	DET
bracis-28359	20	20	interpretability	interpretability	NOUN
bracis-28359	20	21	[	[	X
bracis-28359	20	22	5	5	NUM
bracis-28359	20	23	,	,	PUNCT
bracis-28359	20	24	6	6	NUM
bracis-28359	20	25	,	,	PUNCT
bracis-28359	20	26	9	9	NUM
bracis-28359	20	27	,	,	PUNCT
bracis-28359	20	28	15,16,17	15,16,17	NUM
bracis-28359	20	29	,	,	PUNCT
bracis-28359	20	30	24	24	NUM
bracis-28359	20	31	]	]	PUNCT
bracis-28359	20	32	.	.	PUNCT
bracis-28359	21	1	it	it	PRON
bracis-28359	21	2	can	can	AUX
bracis-28359	21	3	be	be	AUX
bracis-28359	21	4	seen	see	VERB
bracis-28359	21	5	that	that	SCONJ
bracis-28359	21	6	some	some	PRON
bracis-28359	21	7	of	of	ADP
bracis-28359	21	8	these	these	DET
bracis-28359	21	9	works	work	NOUN
bracis-28359	21	10	use	use	VERB
bracis-28359	21	11	approaches	approach	NOUN
bracis-28359	21	12	based	base	VERB
bracis-28359	21	13	on	on	ADP
bracis-28359	21	14	the	the	DET
bracis-28359	21	15	boolean	boolean	ADJ
bracis-28359	21	16	satisfiability	satisfiability	NOUN
bracis-28359	21	17	problem	problem	NOUN
bracis-28359	21	18	(	(	PUNCT
bracis-28359	21	19	sat	sit	VERB
bracis-28359	21	20	)	)	PUNCT
bracis-28359	21	21	and	and	CCONJ
bracis-28359	21	22	the	the	DET
bracis-28359	21	23	maximum	maximum	ADJ
bracis-28359	21	24	boolean	boolean	ADJ
bracis-28359	21	25	satisfiability	satisfiability	NOUN
bracis-28359	21	26	problem	problem	NOUN
bracis-28359	21	27	(	(	PUNCT
bracis-28359	21	28	maxsat	maxsat	ADJ
bracis-28359	21	29	)	)	PUNCT
bracis-28359	21	30	.	.	PUNCT
bracis-28359	22	1	the	the	DET
bracis-28359	22	2	choice	choice	NOUN
bracis-28359	22	3	of	of	ADP
bracis-28359	22	4	these	these	DET
bracis-28359	22	5	approaches	approach	NOUN
bracis-28359	22	6	to	to	PART
bracis-28359	22	7	solve	solve	VERB
bracis-28359	22	8	this	this	DET
bracis-28359	22	9	problem	problem	NOUN
bracis-28359	22	10	has	have	AUX
bracis-28359	22	11	been	be	AUX
bracis-28359	22	12	increasingly	increasingly	ADV
bracis-28359	22	13	recurrent	recurrent	ADJ
bracis-28359	22	14	in	in	ADP
bracis-28359	22	15	recent	recent	ADJ
bracis-28359	22	16	years	year	NOUN
bracis-28359	22	17	.	.	PUNCT
bracis-28359	23	1	the	the	DET
bracis-28359	23	2	reasons	reason	NOUN
bracis-28359	23	3	can	can	AUX
bracis-28359	23	4	be	be	AUX
bracis-28359	23	5	seen	see	VERB
bracis-28359	23	6	in	in	ADP
bracis-28359	23	7	the	the	DET
bracis-28359	23	8	results	result	NOUN
bracis-28359	23	9	obtained	obtain	VERB
bracis-28359	23	10	by	by	ADP
bracis-28359	23	11	these	these	DET
bracis-28359	23	12	models	model	NOUN
bracis-28359	23	13	.	.	PUNCT
bracis-28359	24	1	sat	sit	VERB
bracis-28359	24	2	-	-	PUNCT
bracis-28359	24	3	based	base	VERB
bracis-28359	24	4	approaches	approach	NOUN
bracis-28359	24	5	have	have	AUX
bracis-28359	24	6	been	be	AUX
bracis-28359	24	7	proposed	propose	VERB
bracis-28359	24	8	recently	recently	ADV
bracis-28359	24	9	[	[	X
bracis-28359	24	10	18	18	NUM
bracis-28359	24	11	,	,	PUNCT
bracis-28359	24	12	19	19	NUM
bracis-28359	24	13	]	]	PUNCT
bracis-28359	24	14	to	to	PART
bracis-28359	24	15	learn	learn	VERB
bracis-28359	24	16	quantifier	quantifier	NOUN
bracis-28359	24	17	-	-	PUNCT
bracis-28359	24	18	free	free	ADJ
bracis-28359	24	19	first	first	ADJ
bracis-28359	24	20	-	-	PUNCT
bracis-28359	24	21	order	order	NOUN
bracis-28359	24	22	sentences	sentence	NOUN
bracis-28359	24	23	from	from	ADP
bracis-28359	24	24	a	a	DET
bracis-28359	24	25	set	set	NOUN
bracis-28359	24	26	of	of	ADP
bracis-28359	24	27	classified	classified	ADJ
bracis-28359	24	28	strings	string	NOUN
bracis-28359	24	29	.	.	PUNCT
bracis-28359	25	1	more	more	ADV
bracis-28359	25	2	specifically	specifically	ADV
bracis-28359	25	3	,	,	PUNCT
bracis-28359	25	4	given	give	VERB
bracis-28359	25	5	a	a	DET
bracis-28359	25	6	set	set	NOUN
bracis-28359	25	7	of	of	ADP
bracis-28359	25	8	classified	classified	ADJ
bracis-28359	25	9	strings	string	NOUN
bracis-28359	25	10	,	,	PUNCT
bracis-28359	25	11	the	the	DET
bracis-28359	25	12	goal	goal	NOUN
bracis-28359	25	13	is	be	AUX
bracis-28359	25	14	to	to	PART
bracis-28359	25	15	find	find	VERB
bracis-28359	25	16	a	a	DET
bracis-28359	25	17	first	first	ADJ
bracis-28359	25	18	-	-	PUNCT
bracis-28359	25	19	order	order	NOUN
bracis-28359	25	20	sentence	sentence	NOUN
bracis-28359	25	21	over	over	ADP
bracis-28359	25	22	strings	string	NOUN
bracis-28359	25	23	of	of	ADP
bracis-28359	25	24	minimum	minimum	ADJ
bracis-28359	25	25	size	size	NOUN
bracis-28359	25	26	that	that	PRON
bracis-28359	25	27	correctly	correctly	ADV
bracis-28359	25	28	classifies	classify	VERB
bracis-28359	25	29	all	all	DET
bracis-28359	25	30	the	the	DET
bracis-28359	25	31	strings	string	NOUN
bracis-28359	25	32	.	.	PUNCT
bracis-28359	26	1	one	one	NUM
bracis-28359	26	2	of	of	ADP
bracis-28359	26	3	the	the	DET
bracis-28359	26	4	approaches	approach	NOUN
bracis-28359	26	5	demonstrated	demonstrate	VERB
bracis-28359	26	6	is	be	AUX
bracis-28359	26	7	sqfsat	sqfsat	ADJ
bracis-28359	26	8	(	(	PUNCT
bracis-28359	26	9	synthesis	synthesis	NOUN
bracis-28359	26	10	of	of	ADP
bracis-28359	26	11	quantifier	quantifier	NOUN
bracis-28359	26	12	-	-	PUNCT
bracis-28359	26	13	free	free	ADJ
bracis-28359	26	14	first	first	ADJ
bracis-28359	26	15	-	-	PUNCT
bracis-28359	26	16	order	order	NOUN
bracis-28359	26	17	sentences	sentence	NOUN
bracis-28359	26	18	over	over	ADP
bracis-28359	26	19	strings	string	NOUN
bracis-28359	26	20	with	with	ADP
bracis-28359	26	21	sat	sat	NOUN
bracis-28359	26	22	)	)	PUNCT
bracis-28359	26	23	.	.	PUNCT
bracis-28359	27	1	upon	upon	SCONJ
bracis-28359	27	2	receiving	receive	VERB
bracis-28359	27	3	a	a	DET
bracis-28359	27	4	set	set	NOUN
bracis-28359	27	5	of	of	ADP
bracis-28359	27	6	classified	classified	ADJ
bracis-28359	27	7	strings	string	NOUN
bracis-28359	27	8	,	,	PUNCT
bracis-28359	27	9	this	this	DET
bracis-28359	27	10	approach	approach	NOUN
bracis-28359	27	11	generates	generate	VERB
bracis-28359	27	12	a	a	DET
bracis-28359	27	13	quantifier	quantifier	NOUN
bracis-28359	27	14	-	-	PUNCT
bracis-28359	27	15	free	free	ADJ
bracis-28359	27	16	first	first	ADJ
bracis-28359	27	17	-	-	PUNCT
bracis-28359	27	18	order	order	NOUN
bracis-28359	27	19	sentence	sentence	NOUN
bracis-28359	27	20	over	over	ADP
bracis-28359	27	21	strings	string	NOUN
bracis-28359	27	22	in	in	ADP
bracis-28359	27	23	disjunctive	disjunctive	ADJ
bracis-28359	27	24	normal	normal	ADJ
bracis-28359	27	25	form	form	NOUN
bracis-28359	27	26	(	(	PUNCT
bracis-28359	27	27	dnf	dnf	PROPN
bracis-28359	27	28	)	)	PUNCT
bracis-28359	27	29	with	with	ADP
bracis-28359	27	30	a	a	DET
bracis-28359	27	31	given	give	VERB
bracis-28359	27	32	number	number	NOUN
bracis-28359	27	33	of	of	ADP
bracis-28359	27	34	terms	term	NOUN
bracis-28359	27	35	.	.	PUNCT
bracis-28359	28	1	what	what	PRON
bracis-28359	28	2	makes	make	VERB
bracis-28359	28	3	this	this	DET
bracis-28359	28	4	method	method	NOUN
bracis-28359	28	5	stand	stand	VERB
bracis-28359	28	6	out	out	ADP
bracis-28359	28	7	is	be	AUX
bracis-28359	28	8	the	the	DET
bracis-28359	28	9	fact	fact	NOUN
bracis-28359	28	10	that	that	SCONJ
bracis-28359	28	11	we	we	PRON
bracis-28359	28	12	can	can	AUX
bracis-28359	28	13	limit	limit	VERB
bracis-28359	28	14	both	both	CCONJ
bracis-28359	28	15	the	the	DET
bracis-28359	28	16	number	number	NOUN
bracis-28359	28	17	of	of	ADP
bracis-28359	28	18	terms	term	NOUN
bracis-28359	28	19	and	and	CCONJ
bracis-28359	28	20	the	the	DET
bracis-28359	28	21	number	number	NOUN
bracis-28359	28	22	of	of	ADP
bracis-28359	28	23	formulas	formula	NOUN
bracis-28359	28	24	per	per	ADP
bracis-28359	28	25	term	term	NOUN
bracis-28359	28	26	in	in	ADP
bracis-28359	28	27	the	the	DET
bracis-28359	28	28	generated	generate	VERB
bracis-28359	28	29	formula	formula	NOUN
bracis-28359	28	30	.	.	PUNCT
bracis-28359	29	1	in	in	ADP
bracis-28359	29	2	addition	addition	NOUN
bracis-28359	29	3	,	,	PUNCT
bracis-28359	29	4	as	as	SCONJ
bracis-28359	29	5	the	the	DET
bracis-28359	29	6	approach	approach	NOUN
bracis-28359	29	7	generates	generate	VERB
bracis-28359	29	8	formulas	formula	NOUN
bracis-28359	29	9	in	in	ADP
bracis-28359	29	10	dnf	dnf	PROPN
bracis-28359	29	11	,	,	PUNCT
bracis-28359	29	12	each	each	DET
bracis-28359	29	13	term	term	NOUN
bracis-28359	29	14	of	of	ADP
bracis-28359	29	15	the	the	DET
bracis-28359	29	16	formula	formula	NOUN
bracis-28359	29	17	can	can	AUX
bracis-28359	29	18	be	be	AUX
bracis-28359	29	19	seen	see	VERB
bracis-28359	29	20	as	as	ADP
bracis-28359	29	21	a	a	DET
bracis-28359	29	22	rule	rule	NOUN
bracis-28359	29	23	.	.	PUNCT
bracis-28359	30	1	then	then	ADV
bracis-28359	30	2	,	,	PUNCT
bracis-28359	30	3	for	for	ADP
bracis-28359	30	4	each	each	DET
bracis-28359	30	5	rule	rule	NOUN
bracis-28359	30	6	,	,	PUNCT
bracis-28359	30	7	its	its	PRON
bracis-28359	30	8	explanation	explanation	NOUN
bracis-28359	30	9	is	be	AUX
bracis-28359	30	10	the	the	DET
bracis-28359	30	11	conjunction	conjunction	NOUN
bracis-28359	30	12	of	of	ADP
bracis-28359	30	13	formulas	formula	NOUN
bracis-28359	30	14	in	in	ADP
bracis-28359	30	15	the	the	DET
bracis-28359	30	16	rule	rule	NOUN
bracis-28359	30	17	,	,	PUNCT
bracis-28359	30	18	which	which	PRON
bracis-28359	30	19	can	can	AUX
bracis-28359	30	20	be	be	AUX
bracis-28359	30	21	interesting	interesting	ADJ
bracis-28359	30	22	for	for	ADP
bracis-28359	30	23	their	their	PRON
bracis-28359	30	24	interpretability	interpretability	NOUN
bracis-28359	30	25	[	[	X
bracis-28359	30	26	11	11	NUM
bracis-28359	30	27	,	,	PUNCT
bracis-28359	30	28	18	18	NUM
bracis-28359	30	29	]	]	PUNCT
bracis-28359	30	30	.	.	PUNCT
bracis-28359	31	1	on	on	ADP
bracis-28359	31	2	the	the	DET
bracis-28359	31	3	other	other	ADJ
bracis-28359	31	4	hand	hand	NOUN
bracis-28359	31	5	,	,	PUNCT
bracis-28359	31	6	as	as	SCONJ
bracis-28359	31	7	the	the	DET
bracis-28359	31	8	model	model	NOUN
bracis-28359	31	9	is	be	AUX
bracis-28359	31	10	based	base	VERB
bracis-28359	31	11	on	on	ADP
bracis-28359	31	12	the	the	DET
bracis-28359	31	13	sat	sit	VERB
bracis-28359	31	14	problem	problem	NOUN
bracis-28359	31	15	,	,	PUNCT
bracis-28359	31	16	in	in	ADP
bracis-28359	31	17	certain	certain	ADJ
bracis-28359	31	18	situations	situation	NOUN
bracis-28359	31	19	it	it	PRON
bracis-28359	31	20	may	may	AUX
bracis-28359	31	21	bring	bring	VERB
bracis-28359	31	22	results	result	NOUN
bracis-28359	31	23	that	that	PRON
bracis-28359	31	24	are	be	AUX
bracis-28359	31	25	not	not	PART
bracis-28359	31	26	so	so	ADV
bracis-28359	31	27	interesting	interesting	ADJ
bracis-28359	31	28	in	in	ADP
bracis-28359	31	29	terms	term	NOUN
bracis-28359	31	30	of	of	ADP
bracis-28359	31	31	interpretability	interpretability	NOUN
bracis-28359	31	32	and	and	CCONJ
bracis-28359	31	33	efficiency	efficiency	NOUN
bracis-28359	31	34	,	,	PUNCT
bracis-28359	31	35	such	such	ADJ
bracis-28359	31	36	as	as	ADP
bracis-28359	31	37	in	in	ADP
bracis-28359	31	38	cases	case	NOUN
bracis-28359	31	39	where	where	SCONJ
bracis-28359	31	40	the	the	DET
bracis-28359	31	41	set	set	NOUN
bracis-28359	31	42	of	of	ADP
bracis-28359	31	43	strings	string	NOUN
bracis-28359	31	44	is	be	AUX
bracis-28359	31	45	large	large	ADJ
bracis-28359	31	46	.	.	PUNCT
bracis-28359	32	1	ghosh	ghosh	PROPN
bracis-28359	32	2	,	,	PUNCT
bracis-28359	32	3	b.	b.	PROPN
bracis-28359	32	4	et	et	PROPN
bracis-28359	32	5	al	al	PROPN
bracis-28359	32	6	.	.	PROPN
bracis-28359	32	7	created	create	VERB
bracis-28359	32	8	a	a	DET
bracis-28359	32	9	classification	classification	NOUN
bracis-28359	32	10	model	model	NOUN
bracis-28359	32	11	based	base	VERB
bracis-28359	32	12	on	on	ADP
bracis-28359	32	13	maxsat	maxsat	NOUN
bracis-28359	32	14	called	call	VERB
bracis-28359	32	15	imli	imli	ADV
bracis-28359	32	16	[	[	X
bracis-28359	32	17	6	6	NUM
bracis-28359	32	18	]	]	PUNCT
bracis-28359	32	19	.	.	PUNCT
bracis-28359	33	1	the	the	DET
bracis-28359	33	2	approach	approach	NOUN
bracis-28359	33	3	takes	take	VERB
bracis-28359	33	4	a	a	DET
bracis-28359	33	5	set	set	NOUN
bracis-28359	33	6	of	of	ADP
bracis-28359	33	7	classified	classified	ADJ
bracis-28359	33	8	samples	sample	NOUN
bracis-28359	33	9	,	,	PUNCT
bracis-28359	33	10	represented	represent	VERB
bracis-28359	33	11	by	by	ADP
bracis-28359	33	12	vectors	vector	NOUN
bracis-28359	33	13	of	of	ADP
bracis-28359	33	14	numerical	numerical	ADJ
bracis-28359	33	15	and	and	CCONJ
bracis-28359	33	16	categorical	categorical	ADJ
bracis-28359	33	17	data	datum	NOUN
bracis-28359	33	18	,	,	PUNCT
bracis-28359	33	19	and	and	CCONJ
bracis-28359	33	20	generates	generate	VERB
bracis-28359	33	21	a	a	DET
bracis-28359	33	22	set	set	NOUN
bracis-28359	33	23	of	of	ADP
bracis-28359	33	24	rules	rule	NOUN
bracis-28359	33	25	expressed	express	VERB
bracis-28359	33	26	in	in	ADP
bracis-28359	33	27	dnf	dnf	PROPN
bracis-28359	33	28	or	or	CCONJ
bracis-28359	33	29	in	in	ADP
bracis-28359	33	30	conjunctive	conjunctive	ADJ
bracis-28359	33	31	normal	normal	ADJ
bracis-28359	33	32	form	form	NOUN
bracis-28359	33	33	(	(	PUNCT
bracis-28359	33	34	cnf	cnf	PROPN
bracis-28359	33	35	)	)	PUNCT
bracis-28359	33	36	that	that	PRON
bracis-28359	33	37	correctly	correctly	ADV
bracis-28359	33	38	classifies	classify	VERB
bracis-28359	33	39	as	as	ADV
bracis-28359	33	40	many	many	ADJ
bracis-28359	33	41	samples	sample	NOUN
bracis-28359	33	42	as	as	ADP
bracis-28359	33	43	possible	possible	ADJ
bracis-28359	33	44	.	.	PUNCT
bracis-28359	34	1	in	in	ADP
bracis-28359	34	2	this	this	DET
bracis-28359	34	3	work	work	NOUN
bracis-28359	34	4	,	,	PUNCT
bracis-28359	34	5	we	we	PRON
bracis-28359	34	6	focus	focus	VERB
bracis-28359	34	7	on	on	ADP
bracis-28359	34	8	using	use	VERB
bracis-28359	34	9	imli	imli	ADV
bracis-28359	34	10	for	for	ADP
bracis-28359	34	11	learning	learn	VERB
bracis-28359	34	12	rules	rule	NOUN
bracis-28359	34	13	in	in	ADP
bracis-28359	34	14	dnf	dnf	PROPN
bracis-28359	34	15	.	.	PUNCT
bracis-28359	35	1	the	the	DET
bracis-28359	35	2	number	number	NOUN
bracis-28359	35	3	of	of	ADP
bracis-28359	35	4	rules	rule	NOUN
bracis-28359	35	5	in	in	ADP
bracis-28359	35	6	the	the	DET
bracis-28359	35	7	set	set	NOUN
bracis-28359	35	8	of	of	ADP
bracis-28359	35	9	rules	rule	NOUN
bracis-28359	35	10	can	can	AUX
bracis-28359	35	11	be	be	AUX
bracis-28359	35	12	defined	define	VERB
bracis-28359	35	13	similarly	similarly	ADV
bracis-28359	35	14	to	to	ADP
bracis-28359	35	15	sqfsat	sqfsat	NOUN
bracis-28359	35	16	,	,	PUNCT
bracis-28359	35	17	but	but	CCONJ
bracis-28359	35	18	imli	imli	ADV
bracis-28359	35	19	does	do	AUX
bracis-28359	35	20	not	not	PART
bracis-28359	35	21	consider	consider	VERB
bracis-28359	35	22	the	the	DET
bracis-28359	35	23	number	number	NOUN
bracis-28359	35	24	of	of	ADP
bracis-28359	35	25	elements	element	NOUN
bracis-28359	35	26	per	per	ADP
bracis-28359	35	27	rule	rule	NOUN
bracis-28359	35	28	.	.	PUNCT
bracis-28359	36	1	although	although	SCONJ
bracis-28359	36	2	imli	imli	NOUN
bracis-28359	36	3	focuses	focus	VERB
bracis-28359	36	4	on	on	ADP
bracis-28359	36	5	learning	learn	VERB
bracis-28359	36	6	a	a	DET
bracis-28359	36	7	sparse	sparse	ADJ
bracis-28359	36	8	set	set	NOUN
bracis-28359	36	9	of	of	ADP
bracis-28359	36	10	rules	rule	NOUN
bracis-28359	36	11	,	,	PUNCT
bracis-28359	36	12	it	it	PRON
bracis-28359	36	13	may	may	AUX
bracis-28359	36	14	obtain	obtain	VERB
bracis-28359	36	15	a	a	DET
bracis-28359	36	16	combination	combination	NOUN
bracis-28359	36	17	of	of	ADP
bracis-28359	36	18	both	both	CCONJ
bracis-28359	36	19	large	large	ADJ
bracis-28359	36	20	and	and	CCONJ
bracis-28359	36	21	small	small	ADJ
bracis-28359	36	22	rules	rule	NOUN
bracis-28359	36	23	.	.	PUNCT
bracis-28359	37	1	imli	imli	ADV
bracis-28359	37	2	also	also	ADV
bracis-28359	37	3	takes	take	VERB
bracis-28359	37	4	into	into	ADP
bracis-28359	37	5	account	account	NOUN
bracis-28359	37	6	the	the	DET
bracis-28359	37	7	option	option	NOUN
bracis-28359	37	8	of	of	ADP
bracis-28359	37	9	defining	define	VERB
bracis-28359	37	10	a	a	DET
bracis-28359	37	11	weighting	weighting	NOUN
bracis-28359	37	12	for	for	ADP
bracis-28359	37	13	correct	correct	ADJ
bracis-28359	37	14	classifications	classification	NOUN
bracis-28359	37	15	.	.	PUNCT
bracis-28359	38	1	as	as	ADP
bracis-28359	38	2	the	the	DET
bracis-28359	38	3	weighting	weighting	NOUN
bracis-28359	38	4	increases	increase	NOUN
bracis-28359	38	5	,	,	PUNCT
bracis-28359	38	6	the	the	DET
bracis-28359	38	7	accuracy	accuracy	NOUN
bracis-28359	38	8	of	of	ADP
bracis-28359	38	9	the	the	DET
bracis-28359	38	10	model	model	NOUN
bracis-28359	38	11	improves	improve	VERB
bracis-28359	38	12	,	,	PUNCT
bracis-28359	38	13	but	but	CCONJ
bracis-28359	38	14	at	at	ADP
bracis-28359	38	15	the	the	DET
bracis-28359	38	16	cost	cost	NOUN
bracis-28359	38	17	of	of	ADP
bracis-28359	38	18	an	an	DET
bracis-28359	38	19	increase	increase	NOUN
bracis-28359	38	20	in	in	ADP
bracis-28359	38	21	the	the	DET
bracis-28359	38	22	size	size	NOUN
bracis-28359	38	23	of	of	ADP
bracis-28359	38	24	the	the	DET
bracis-28359	38	25	generated	generate	VERB
bracis-28359	38	26	set	set	NOUN
bracis-28359	38	27	of	of	ADP
bracis-28359	38	28	rules	rule	NOUN
bracis-28359	38	29	.	.	PUNCT
bracis-28359	39	1	the	the	PRON
bracis-28359	39	2	smaller	small	ADJ
bracis-28359	39	3	the	the	DET
bracis-28359	39	4	weighting	weighting	NOUN
bracis-28359	39	5	,	,	PUNCT
bracis-28359	39	6	the	the	PRON
bracis-28359	39	7	lower	low	ADJ
bracis-28359	39	8	the	the	DET
bracis-28359	39	9	accuracy	accuracy	NOUN
bracis-28359	39	10	of	of	ADP
bracis-28359	39	11	the	the	DET
bracis-28359	39	12	model	model	NOUN
bracis-28359	39	13	,	,	PUNCT
bracis-28359	39	14	but	but	CCONJ
bracis-28359	39	15	correspondingly	correspondingly	ADV
bracis-28359	39	16	,	,	PUNCT
bracis-28359	39	17	the	the	DET
bracis-28359	39	18	generated	generate	VERB
bracis-28359	39	19	set	set	NOUN
bracis-28359	39	20	of	of	ADP
bracis-28359	39	21	rules	rule	NOUN
bracis-28359	39	22	tends	tend	VERB
bracis-28359	39	23	to	to	PART
bracis-28359	39	24	be	be	AUX
bracis-28359	39	25	smaller	small	ADJ
bracis-28359	39	26	.	.	PUNCT
bracis-28359	40	1	furthermore	furthermore	ADV
bracis-28359	40	2	,	,	PUNCT
bracis-28359	40	3	imli	imli	ADV
bracis-28359	40	4	uses	use	VERB
bracis-28359	40	5	an	an	DET
bracis-28359	40	6	incremental	incremental	ADJ
bracis-28359	40	7	approach	approach	NOUN
bracis-28359	40	8	to	to	PART
bracis-28359	40	9	achieve	achieve	VERB
bracis-28359	40	10	better	well	ADJ
bracis-28359	40	11	runtime	runtime	NOUN
bracis-28359	40	12	performance	performance	NOUN
bracis-28359	40	13	.	.	PUNCT
bracis-28359	41	1	the	the	DET
bracis-28359	41	2	incremental	incremental	ADJ
bracis-28359	41	3	form	form	NOUN
bracis-28359	41	4	consists	consist	VERB
bracis-28359	41	5	of	of	ADP
bracis-28359	41	6	dividing	divide	VERB
bracis-28359	41	7	the	the	DET
bracis-28359	41	8	set	set	NOUN
bracis-28359	41	9	of	of	ADP
bracis-28359	41	10	samples	sample	NOUN
bracis-28359	41	11	into	into	ADP
bracis-28359	41	12	partitions	partition	NOUN
bracis-28359	41	13	in	in	ADP
bracis-28359	41	14	order	order	NOUN
bracis-28359	41	15	to	to	PART
bracis-28359	41	16	generate	generate	VERB
bracis-28359	41	17	a	a	DET
bracis-28359	41	18	set	set	NOUN
bracis-28359	41	19	of	of	ADP
bracis-28359	41	20	rules	rule	NOUN
bracis-28359	41	21	for	for	ADP
bracis-28359	41	22	each	each	DET
bracis-28359	41	23	partition	partition	NOUN
bracis-28359	41	24	from	from	ADP
bracis-28359	41	25	the	the	DET
bracis-28359	41	26	set	set	NOUN
bracis-28359	41	27	of	of	ADP
bracis-28359	41	28	rules	rule	NOUN
bracis-28359	41	29	obtained	obtain	VERB
bracis-28359	41	30	in	in	ADP
bracis-28359	41	31	the	the	DET
bracis-28359	41	32	previous	previous	ADJ
bracis-28359	41	33	partitions	partition	NOUN
bracis-28359	41	34	.	.	PUNCT
bracis-28359	42	1	in	in	ADP
bracis-28359	42	2	this	this	DET
bracis-28359	42	3	work	work	NOUN
bracis-28359	42	4	,	,	PUNCT
bracis-28359	42	5	we	we	PRON
bracis-28359	42	6	aim	aim	VERB
bracis-28359	42	7	to	to	PART
bracis-28359	42	8	create	create	VERB
bracis-28359	42	9	a	a	DET
bracis-28359	42	10	new	new	ADJ
bracis-28359	42	11	approach	approach	NOUN
bracis-28359	42	12	for	for	ADP
bracis-28359	42	13	learning	learn	VERB
bracis-28359	42	14	interpretable	interpretable	ADJ
bracis-28359	42	15	rules	rule	NOUN
bracis-28359	42	16	based	base	VERB
bracis-28359	42	17	on	on	ADP
bracis-28359	42	18	maxsat	maxsat	NOUN
bracis-28359	42	19	that	that	PRON
bracis-28359	42	20	unites	unite	VERB
bracis-28359	42	21	sqfsat	sqfsat	NOUN
bracis-28359	42	22	with	with	ADP
bracis-28359	42	23	the	the	DET
bracis-28359	42	24	incrementality	incrementality	NOUN
bracis-28359	42	25	of	of	ADP
bracis-28359	42	26	imli	imli	NOUN
bracis-28359	42	27	.	.	PUNCT
bracis-28359	43	1	the	the	DET
bracis-28359	43	2	motivation	motivation	NOUN
bracis-28359	43	3	for	for	ADP
bracis-28359	43	4	choosing	choose	VERB
bracis-28359	43	5	sqfsat	sqfsat	NOUN
bracis-28359	43	6	is	be	AUX
bracis-28359	43	7	the	the	DET
bracis-28359	43	8	possibility	possibility	NOUN
bracis-28359	43	9	of	of	ADP
bracis-28359	43	10	defining	define	VERB
bracis-28359	43	11	the	the	DET
bracis-28359	43	12	number	number	NOUN
bracis-28359	43	13	of	of	ADP
bracis-28359	43	14	literals	literal	NOUN
bracis-28359	43	15	per	per	ADP
bracis-28359	43	16	clause	clause	NOUN
bracis-28359	43	17	,	,	PUNCT
bracis-28359	43	18	allowing	allow	VERB
bracis-28359	43	19	us	we	PRON
bracis-28359	43	20	to	to	PART
bracis-28359	43	21	generate	generate	VERB
bracis-28359	43	22	smaller	small	ADJ
bracis-28359	43	23	and	and	CCONJ
bracis-28359	43	24	more	more	ADV
bracis-28359	43	25	balanced	balanced	ADJ
bracis-28359	43	26	rules	rule	NOUN
bracis-28359	43	27	.	.	PUNCT
bracis-28359	44	1	the	the	DET
bracis-28359	44	2	choice	choice	NOUN
bracis-28359	44	3	of	of	ADP
bracis-28359	44	4	imli	imli	ADV
bracis-28359	44	5	is	be	AUX
bracis-28359	44	6	motivated	motivate	VERB
bracis-28359	44	7	by	by	ADP
bracis-28359	44	8	its	its	PRON
bracis-28359	44	9	incrementability	incrementability	NOUN
bracis-28359	44	10	technique	technique	NOUN
bracis-28359	44	11	,	,	PUNCT
bracis-28359	44	12	which	which	PRON
bracis-28359	44	13	allows	allow	VERB
bracis-28359	44	14	the	the	DET
bracis-28359	44	15	method	method	NOUN
bracis-28359	44	16	to	to	PART
bracis-28359	44	17	train	train	VERB
bracis-28359	44	18	on	on	ADP
bracis-28359	44	19	large	large	ADJ
bracis-28359	44	20	sets	set	NOUN
bracis-28359	44	21	of	of	ADP
bracis-28359	44	22	samples	sample	NOUN
bracis-28359	44	23	efficiently	efficiently	ADV
bracis-28359	44	24	.	.	PUNCT
bracis-28359	45	1	in	in	ADP
bracis-28359	45	2	addition	addition	NOUN
bracis-28359	45	3	,	,	PUNCT
bracis-28359	45	4	we	we	PRON
bracis-28359	45	5	propose	propose	VERB
bracis-28359	45	6	a	a	DET
bracis-28359	45	7	technique	technique	NOUN
bracis-28359	45	8	that	that	PRON
bracis-28359	45	9	reduces	reduce	VERB
bracis-28359	45	10	the	the	DET
bracis-28359	45	11	size	size	NOUN
bracis-28359	45	12	of	of	ADP
bracis-28359	45	13	the	the	DET
bracis-28359	45	14	generated	generate	VERB
bracis-28359	45	15	rules	rule	NOUN
bracis-28359	45	16	,	,	PUNCT
bracis-28359	45	17	removing	remove	VERB
bracis-28359	45	18	possible	possible	ADJ
bracis-28359	45	19	redundancies	redundancy	NOUN
bracis-28359	45	20	.	.	PUNCT
bracis-28359	46	1	this	this	DET
bracis-28359	46	2	work	work	NOUN
bracis-28359	46	3	is	be	AUX
bracis-28359	46	4	divided	divide	VERB
bracis-28359	46	5	into	into	ADP
bracis-28359	46	6	6	6	NUM
bracis-28359	46	7	sections	section	NOUN
bracis-28359	46	8	.	.	PUNCT
bracis-28359	47	1	in	in	ADP
bracis-28359	47	2	sect	sect	NOUN
bracis-28359	47	3	.	.	PUNCT
bracis-28359	47	4	 	 	SPACE
bracis-28359	47	5	2	2	NUM
bracis-28359	47	6	,	,	PUNCT
bracis-28359	47	7	we	we	PRON
bracis-28359	47	8	define	define	VERB
bracis-28359	47	9	the	the	DET
bracis-28359	47	10	general	general	ADJ
bracis-28359	47	11	notions	notion	NOUN
bracis-28359	47	12	and	and	CCONJ
bracis-28359	47	13	notations	notation	NOUN
bracis-28359	47	14	.	.	PUNCT
bracis-28359	48	1	since	since	SCONJ
bracis-28359	48	2	all	all	DET
bracis-28359	48	3	methods	method	NOUN
bracis-28359	48	4	presented	present	VERB
bracis-28359	48	5	in	in	ADP
bracis-28359	48	6	this	this	DET
bracis-28359	48	7	paper	paper	NOUN
bracis-28359	48	8	use	use	VERB
bracis-28359	48	9	boolean	boolean	ADJ
bracis-28359	48	10	logic	logic	NOUN
bracis-28359	48	11	,	,	PUNCT
bracis-28359	48	12	we	we	PRON
bracis-28359	48	13	also	also	ADV
bracis-28359	48	14	define	define	VERB
bracis-28359	48	15	in	in	ADP
bracis-28359	48	16	sect	sect	NOUN
bracis-28359	48	17	.	.	PUNCT
bracis-28359	48	18	 	 	SPACE
bracis-28359	49	1	2	2	NUM
bracis-28359	49	2	how	how	SCONJ
bracis-28359	49	3	these	these	DET
bracis-28359	49	4	methods	method	NOUN
bracis-28359	49	5	binarize	binarize	VERB
bracis-28359	49	6	datasets	dataset	NOUN
bracis-28359	49	7	with	with	ADP
bracis-28359	49	8	numerical	numerical	ADJ
bracis-28359	49	9	and	and	CCONJ
bracis-28359	49	10	categorical	categorical	ADJ
bracis-28359	49	11	data	datum	NOUN
bracis-28359	49	12	.	.	PUNCT
bracis-28359	50	1	in	in	ADP
bracis-28359	50	2	sect	sect	NOUN
bracis-28359	50	3	.	.	PUNCT
bracis-28359	50	4	 	 	SPACE
bracis-28359	50	5	3	3	NUM
bracis-28359	50	6	,	,	PUNCT
bracis-28359	50	7	sqfsat	sqfsat	NOUN
bracis-28359	50	8	and	and	CCONJ
bracis-28359	50	9	imli	imli	ADV
bracis-28359	50	10	are	be	AUX
bracis-28359	50	11	presented	present	VERB
bracis-28359	50	12	,	,	PUNCT
bracis-28359	50	13	respectively	respectively	ADV
bracis-28359	50	14	.	.	PUNCT
bracis-28359	51	1	we	we	PRON
bracis-28359	51	2	present	present	VERB
bracis-28359	51	3	sqfsat	sqfsat	NOUN
bracis-28359	51	4	in	in	ADP
bracis-28359	51	5	the	the	DET
bracis-28359	51	6	context	context	NOUN
bracis-28359	51	7	of	of	ADP
bracis-28359	51	8	our	our	PRON
bracis-28359	51	9	work	work	NOUN
bracis-28359	51	10	where	where	SCONJ
bracis-28359	51	11	samples	sample	NOUN
bracis-28359	51	12	consist	consist	VERB
bracis-28359	51	13	of	of	ADP
bracis-28359	51	14	binary	binary	ADJ
bracis-28359	51	15	vectors	vector	NOUN
bracis-28359	51	16	instead	instead	ADV
bracis-28359	51	17	of	of	ADP
bracis-28359	51	18	strings	string	NOUN
bracis-28359	51	19	,	,	PUNCT
bracis-28359	51	20	and	and	CCONJ
bracis-28359	51	21	elements	element	NOUN
bracis-28359	51	22	of	of	ADP
bracis-28359	51	23	rules	rule	NOUN
bracis-28359	51	24	are	be	AUX
bracis-28359	51	25	not	not	PART
bracis-28359	51	26	first	first	ADJ
bracis-28359	51	27	-	-	PUNCT
bracis-28359	51	28	order	order	NOUN
bracis-28359	51	29	sentences	sentence	NOUN
bracis-28359	51	30	over	over	ADP
bracis-28359	51	31	strings	string	NOUN
bracis-28359	51	32	.	.	PUNCT
bracis-28359	52	1	in	in	ADP
bracis-28359	52	2	sect	sect	NOUN
bracis-28359	52	3	.	.	PUNCT
bracis-28359	52	4	 	 	SPACE
bracis-28359	52	5	4	4	NUM
bracis-28359	52	6	,	,	PUNCT
bracis-28359	52	7	our	our	PRON
bracis-28359	52	8	contribution	contribution	NOUN
bracis-28359	52	9	is	be	AUX
bracis-28359	52	10	presented	present	VERB
bracis-28359	52	11	:	:	PUNCT
bracis-28359	52	12	imlib	imlib	PROPN
bracis-28359	52	13	.	.	PUNCT
bracis-28359	53	1	in	in	ADP
bracis-28359	53	2	sect	sect	NOUN
bracis-28359	53	3	.	.	PUNCT
bracis-28359	53	4	 	 	SPACE
bracis-28359	53	5	5	5	NUM
bracis-28359	53	6	,	,	PUNCT
bracis-28359	53	7	we	we	PRON
bracis-28359	53	8	describe	describe	VERB
bracis-28359	53	9	the	the	DET
bracis-28359	53	10	experiments	experiment	NOUN
bracis-28359	53	11	conducted	conduct	VERB
bracis-28359	53	12	and	and	CCONJ
bracis-28359	53	13	the	the	DET
bracis-28359	53	14	results	result	NOUN
bracis-28359	53	15	for	for	ADP
bracis-28359	53	16	the	the	DET
bracis-28359	53	17	comparison	comparison	NOUN
bracis-28359	53	18	of	of	ADP
bracis-28359	53	19	our	our	PRON
bracis-28359	53	20	approach	approach	NOUN
bracis-28359	53	21	against	against	ADP
bracis-28359	53	22	imli	imli	NOUN
bracis-28359	53	23	.	.	PUNCT
bracis-28359	54	1	finally	finally	ADV
bracis-28359	54	2	,	,	PUNCT
bracis-28359	54	3	in	in	ADP
bracis-28359	54	4	the	the	DET
bracis-28359	54	5	last	last	ADJ
bracis-28359	54	6	section	section	NOUN
bracis-28359	54	7	,	,	PUNCT
bracis-28359	54	8	we	we	PRON
bracis-28359	54	9	present	present	VERB
bracis-28359	54	10	the	the	DET
bracis-28359	54	11	conclusions	conclusion	NOUN
bracis-28359	54	12	and	and	CCONJ
bracis-28359	54	13	indicate	indicate	VERB
bracis-28359	54	14	future	future	ADJ
bracis-28359	54	15	work	work	NOUN
bracis-28359	54	16	.	.	PUNCT
bracis-28359	55	1	2	2	NUM
bracis-28359	55	2	preliminaries	preliminary	NOUN
bracis-28359	55	3	we	we	PRON
bracis-28359	55	4	consider	consider	VERB
bracis-28359	55	5	the	the	DET
bracis-28359	55	6	binary	binary	ADJ
bracis-28359	55	7	classification	classification	NOUN
bracis-28359	55	8	problem	problem	NOUN
bracis-28359	55	9	where	where	SCONJ
bracis-28359	55	10	we	we	PRON
bracis-28359	55	11	are	be	AUX
bracis-28359	55	12	given	give	VERB
bracis-28359	55	13	a	a	DET
bracis-28359	55	14	set	set	NOUN
bracis-28359	55	15	of	of	ADP
bracis-28359	55	16	samples	sample	NOUN
bracis-28359	55	17	and	and	CCONJ
bracis-28359	55	18	their	their	PRON
bracis-28359	55	19	classifications	classification	NOUN
bracis-28359	55	20	.	.	PUNCT
bracis-28359	56	1	the	the	DET
bracis-28359	56	2	set	set	NOUN
bracis-28359	56	3	of	of	ADP
bracis-28359	56	4	samples	sample	NOUN
bracis-28359	56	5	is	be	AUX
bracis-28359	56	6	represented	represent	VERB
bracis-28359	56	7	by	by	ADP
bracis-28359	56	8	a	a	DET
bracis-28359	56	9	binary	binary	ADJ
bracis-28359	56	10	matrix	matrix	NOUN
bracis-28359	56	11	of	of	ADP
bracis-28359	56	12	size	size	NOUN
bracis-28359	56	13	\(n	\(n	NOUN
bracis-28359	56	14	\times	\times	ADP
bracis-28359	56	15	m\	m\	NOUN
bracis-28359	56	16	)	)	PUNCT
bracis-28359	56	17	and	and	CCONJ
bracis-28359	56	18	their	their	PRON
bracis-28359	56	19	classifications	classification	NOUN
bracis-28359	56	20	by	by	ADP
bracis-28359	56	21	a	a	DET
bracis-28359	56	22	vector	vector	NOUN
bracis-28359	56	23	of	of	ADP
bracis-28359	56	24	size	size	NOUN
bracis-28359	56	25	n.	n.	NOUN
bracis-28359	56	26	we	we	PRON
bracis-28359	56	27	call	call	VERB
bracis-28359	56	28	the	the	DET
bracis-28359	56	29	matrix	matrix	NOUN
bracis-28359	56	30	\({\textbf	\({\textbf	PROPN
bracis-28359	56	31	{	{	PUNCT
bracis-28359	56	32	x}}\	x}}\	NOUN
bracis-28359	56	33	)	)	PUNCT
bracis-28359	56	34	and	and	CCONJ
bracis-28359	56	35	the	the	DET
bracis-28359	56	36	vector	vector	NOUN
bracis-28359	56	37	\({\textbf	\({\textbf	PROPN
bracis-28359	56	38	{	{	PUNCT
bracis-28359	56	39	y}}\	y}}\	PROPN
bracis-28359	56	40	)	)	PUNCT
bracis-28359	56	41	.	.	PUNCT
bracis-28359	57	1	each	each	DET
bracis-28359	57	2	row	row	NOUN
bracis-28359	57	3	of	of	ADP
bracis-28359	57	4	\({\textbf	\({\textbf	PROPN
bracis-28359	57	5	{	{	PUNCT
bracis-28359	57	6	x}}\	x}}\	PROPN
bracis-28359	57	7	)	)	PUNCT
bracis-28359	57	8	is	be	AUX
bracis-28359	57	9	a	a	DET
bracis-28359	57	10	sample	sample	NOUN
bracis-28359	57	11	of	of	ADP
bracis-28359	57	12	the	the	DET
bracis-28359	57	13	set	set	NOUN
bracis-28359	57	14	and	and	CCONJ
bracis-28359	57	15	we	we	PRON
bracis-28359	57	16	will	will	AUX
bracis-28359	57	17	call	call	VERB
bracis-28359	57	18	it	it	PRON
bracis-28359	57	19	\({\textbf	\({\textbf	PROPN
bracis-28359	57	20	{	{	PUNCT
bracis-28359	57	21	x}}_i\	x}}_i\	NOUN
bracis-28359	57	22	)	)	PUNCT
bracis-28359	57	23	with	with	ADP
bracis-28359	57	24	\(i	\(i	NOUN
bracis-28359	57	25	\in	\in	PROPN
bracis-28359	57	26	\{1,	\{1,	ADJ
bracis-28359	57	27	...	...	PUNCT
bracis-28359	57	28	,n\}\	,n\}\	PUNCT
bracis-28359	57	29	)	)	PUNCT
bracis-28359	57	30	.	.	PUNCT
bracis-28359	58	1	to	to	PART
bracis-28359	58	2	represent	represent	VERB
bracis-28359	58	3	a	a	DET
bracis-28359	58	4	specific	specific	ADJ
bracis-28359	58	5	value	value	NOUN
bracis-28359	58	6	of	of	ADP
bracis-28359	58	7	\({\textbf	\({\textbf	PROPN
bracis-28359	58	8	{	{	PUNCT
bracis-28359	58	9	x}}_i\	x}}_i\	NOUN
bracis-28359	58	10	)	)	PUNCT
bracis-28359	58	11	,	,	PUNCT
bracis-28359	58	12	we	we	PRON
bracis-28359	58	13	will	will	AUX
bracis-28359	58	14	use	use	VERB
bracis-28359	58	15	\(x_{i	\(x_{i	ADP
bracis-28359	58	16	,	,	PUNCT
bracis-28359	58	17	j}\	j}\	PROPN
bracis-28359	58	18	)	)	PUNCT
bracis-28359	58	19	with	with	ADP
bracis-28359	58	20	\(j	\(j	X
bracis-28359	58	21	\in	\in	PROPN
bracis-28359	58	22	\{1,	\{1,	ADJ
bracis-28359	58	23	...	...	PUNCT
bracis-28359	58	24	,m\}\	,m\}\	PUNCT
bracis-28359	58	25	)	)	PUNCT
bracis-28359	58	26	.	.	PUNCT
bracis-28359	59	1	each	each	DET
bracis-28359	59	2	column	column	NOUN
bracis-28359	59	3	of	of	ADP
bracis-28359	59	4	\({\textbf	\({\textbf	PROPN
bracis-28359	59	5	{	{	PUNCT
bracis-28359	59	6	x}}\	x}}\	PROPN
bracis-28359	59	7	)	)	PUNCT
bracis-28359	59	8	has	have	VERB
bracis-28359	59	9	a	a	DET
bracis-28359	59	10	label	label	NOUN
bracis-28359	59	11	representing	represent	VERB
bracis-28359	59	12	a	a	DET
bracis-28359	59	13	feature	feature	NOUN
bracis-28359	59	14	and	and	CCONJ
bracis-28359	59	15	the	the	DET
bracis-28359	59	16	label	label	NOUN
bracis-28359	59	17	is	be	AUX
bracis-28359	59	18	symbolized	symbolize	VERB
bracis-28359	59	19	by	by	ADP
bracis-28359	59	20	\(x^j\	\(x^j\	PROPN
bracis-28359	59	21	)	)	PUNCT
bracis-28359	59	22	.	.	PUNCT
bracis-28359	60	1	to	to	PART
bracis-28359	60	2	represent	represent	VERB
bracis-28359	60	3	a	a	DET
bracis-28359	60	4	specific	specific	ADJ
bracis-28359	60	5	value	value	NOUN
bracis-28359	60	6	of	of	ADP
bracis-28359	60	7	\({\textbf	\({\textbf	PROPN
bracis-28359	60	8	{	{	PUNCT
bracis-28359	60	9	y}}\	y}}\	PROPN
bracis-28359	60	10	)	)	PUNCT
bracis-28359	60	11	,	,	PUNCT
bracis-28359	60	12	we	we	PRON
bracis-28359	60	13	will	will	AUX
bracis-28359	60	14	use	use	VERB
bracis-28359	60	15	\(y_i\	\(y_i\	NOUN
bracis-28359	60	16	)	)	PUNCT
bracis-28359	60	17	.	.	PUNCT
bracis-28359	61	1	to	to	PART
bracis-28359	61	2	represent	represent	VERB
bracis-28359	61	3	the	the	DET
bracis-28359	61	4	opposite	opposite	ADJ
bracis-28359	61	5	value	value	NOUN
bracis-28359	61	6	of	of	ADP
bracis-28359	61	7	\(y_i\	\(y_i\	NOUN
bracis-28359	61	8	)	)	PUNCT
bracis-28359	61	9	,	,	PUNCT
bracis-28359	61	10	that	that	ADV
bracis-28359	61	11	is	is	ADV
bracis-28359	61	12	,	,	PUNCT
bracis-28359	61	13	if	if	SCONJ
bracis-28359	61	14	it	it	PRON
bracis-28359	61	15	is	be	AUX
bracis-28359	61	16	1	1	NUM
bracis-28359	61	17	the	the	DET
bracis-28359	61	18	opposite	opposite	ADJ
bracis-28359	61	19	value	value	NOUN
bracis-28359	61	20	is	be	AUX
bracis-28359	61	21	0	0	NUM
bracis-28359	61	22	and	and	CCONJ
bracis-28359	61	23	vice	vice	ADV
bracis-28359	61	24	versa	versa	ADV
bracis-28359	61	25	,	,	PUNCT
bracis-28359	61	26	we	we	PRON
bracis-28359	61	27	use	use	VERB
bracis-28359	61	28	\(\lnot	\(\lnot	ADV
bracis-28359	61	29	y_i\	y_i\	NOUN
bracis-28359	61	30	)	)	PUNCT
bracis-28359	61	31	.	.	PUNCT
bracis-28359	62	1	therefore	therefore	ADV
bracis-28359	62	2	,	,	PUNCT
bracis-28359	62	3	we	we	PRON
bracis-28359	62	4	will	will	AUX
bracis-28359	62	5	use	use	VERB
bracis-28359	62	6	the	the	DET
bracis-28359	62	7	symbol	symbol	NOUN
bracis-28359	62	8	\(\lnot	\(\lnot	ADV
bracis-28359	62	9	{	{	PUNCT
bracis-28359	62	10	\textbf	\textbf	PROPN
bracis-28359	62	11	{	{	PUNCT
bracis-28359	62	12	y}}\	y}}\	NOUN
bracis-28359	62	13	)	)	PUNCT
bracis-28359	62	14	to	to	PART
bracis-28359	62	15	represent	represent	VERB
bracis-28359	62	16	\({\textbf	\({\textbf	PROPN
bracis-28359	62	17	{	{	PUNCT
bracis-28359	62	18	y}}\	y}}\	PROPN
bracis-28359	62	19	)	)	PUNCT
bracis-28359	62	20	with	with	ADP
bracis-28359	62	21	all	all	DET
bracis-28359	62	22	opposite	opposite	ADJ
bracis-28359	62	23	values	value	NOUN
bracis-28359	62	24	.	.	PUNCT
bracis-28359	63	1	to	to	PART
bracis-28359	63	2	represent	represent	VERB
bracis-28359	63	3	the	the	DET
bracis-28359	63	4	opposite	opposite	ADJ
bracis-28359	63	5	value	value	NOUN
bracis-28359	63	6	of	of	ADP
bracis-28359	63	7	\(x_{i	\(x_{i	NOUN
bracis-28359	63	8	,	,	PUNCT
bracis-28359	63	9	j}\	j}\	PROPN
bracis-28359	63	10	)	)	PUNCT
bracis-28359	63	11	,	,	PUNCT
bracis-28359	63	12	we	we	PRON
bracis-28359	63	13	use	use	VERB
bracis-28359	63	14	\(\lnot	\(\lnot	ADV
bracis-28359	63	15	x_{i	x_{i	PROPN
bracis-28359	63	16	,	,	PUNCT
bracis-28359	63	17	j}\	j}\	PROPN
bracis-28359	63	18	)	)	PUNCT
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bracis-28359	64	1	therefore	therefore	ADV
bracis-28359	64	2	,	,	PUNCT
bracis-28359	64	3	we	we	PRON
bracis-28359	64	4	will	will	AUX
bracis-28359	64	5	use	use	VERB
bracis-28359	64	6	the	the	DET
bracis-28359	64	7	symbol	symbol	NOUN
bracis-28359	64	8	\(\lnot	\(\lnot	ADV
bracis-28359	64	9	{	{	PUNCT
bracis-28359	64	10	\textbf	\textbf	PROPN
bracis-28359	64	11	{	{	PUNCT
bracis-28359	64	12	x}}_i\	x}}_i\	NOUN
bracis-28359	64	13	)	)	PUNCT
bracis-28359	64	14	to	to	PART
bracis-28359	64	15	represent	represent	VERB
bracis-28359	64	16	\({\textbf	\({\textbf	PROPN
bracis-28359	64	17	{	{	PUNCT
bracis-28359	64	18	x}}_i\	x}}_i\	NOUN
bracis-28359	64	19	)	)	PUNCT
bracis-28359	64	20	with	with	ADP
bracis-28359	64	21	all	all	DET
bracis-28359	64	22	opposite	opposite	ADJ
bracis-28359	64	23	values	value	NOUN
bracis-28359	64	24	.	.	PUNCT
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bracis-28359	65	2	label	label	NOUN
bracis-28359	65	3	also	also	ADV
bracis-28359	65	4	has	have	VERB
bracis-28359	65	5	its	its	PRON
bracis-28359	65	6	opposite	opposite	ADJ
bracis-28359	65	7	label	label	NOUN
bracis-28359	65	8	which	which	PRON
bracis-28359	65	9	is	be	AUX
bracis-28359	65	10	symbolized	symbolize	VERB
bracis-28359	65	11	by	by	ADP
bracis-28359	65	12	\(\lnot	\(\lnot	ADV
bracis-28359	65	13	x^j\	x^j\	NUM
bracis-28359	65	14	)	)	PUNCT
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bracis-28359	66	1	a	a	DET
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bracis-28359	66	4	\({\textbf	\({\textbf	PROPN
bracis-28359	66	5	{	{	PUNCT
bracis-28359	66	6	x}}\	x}}\	PROPN
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bracis-28359	66	8	is	be	AUX
bracis-28359	66	9	represented	represent	VERB
bracis-28359	66	10	by	by	ADP
bracis-28359	66	11	\({\textbf	\({\textbf	PROPN
bracis-28359	66	12	{	{	PUNCT
bracis-28359	66	13	x}}^t\	x}}^t\	PROPN
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bracis-28359	66	15	with	with	ADP
bracis-28359	66	16	\(t	\(t	NOUN
bracis-28359	66	17	\in	\in	PROPN
bracis-28359	66	18	\{1,	\{1,	ADJ
bracis-28359	66	19	...	...	PUNCT
bracis-28359	66	20	,p\}\	,p\}\	PUNCT
bracis-28359	66	21	)	)	PUNCT
bracis-28359	66	22	,	,	PUNCT
bracis-28359	66	23	where	where	SCONJ
bracis-28359	66	24	p	p	NOUN
bracis-28359	66	25	is	be	AUX
bracis-28359	66	26	the	the	DET
bracis-28359	66	27	number	number	NOUN
bracis-28359	66	28	of	of	ADP
bracis-28359	66	29	partitions	partition	NOUN
bracis-28359	66	30	.	.	PUNCT
bracis-28359	67	1	therefore	therefore	ADV
bracis-28359	67	2	,	,	PUNCT
bracis-28359	67	3	the	the	DET
bracis-28359	67	4	partitions	partition	NOUN
bracis-28359	67	5	of	of	ADP
bracis-28359	67	6	vector	vector	NOUN
bracis-28359	67	7	\({\textbf	\({\textbf	PROPN
bracis-28359	67	8	{	{	PUNCT
bracis-28359	67	9	y}}\	y}}\	PROPN
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bracis-28359	67	11	are	be	AUX
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bracis-28359	67	13	by	by	ADP
bracis-28359	67	14	\({\textbf	\({\textbf	PROPN
bracis-28359	67	15	{	{	PUNCT
bracis-28359	67	16	y}}^t\	y}}^t\	PROPN
bracis-28359	67	17	)	)	PUNCT
bracis-28359	67	18	.	.	PUNCT
bracis-28359	68	1	each	each	DET
bracis-28359	68	2	element	element	NOUN
bracis-28359	68	3	of	of	ADP
bracis-28359	68	4	\({\textbf	\({\textbf	PROPN
bracis-28359	68	5	{	{	PUNCT
bracis-28359	68	6	y}}\	y}}\	PROPN
bracis-28359	68	7	)	)	PUNCT
bracis-28359	68	8	is	be	AUX
bracis-28359	68	9	symbolized	symbolize	VERB
bracis-28359	68	10	by	by	ADP
bracis-28359	68	11	\(y_i\	\(y_i\	NOUN
bracis-28359	68	12	)	)	PUNCT
bracis-28359	68	13	and	and	CCONJ
bracis-28359	68	14	represents	represent	VERB
bracis-28359	68	15	the	the	DET
bracis-28359	68	16	class	class	NOUN
bracis-28359	68	17	value	value	NOUN
bracis-28359	68	18	of	of	ADP
bracis-28359	68	19	sample	sample	NOUN
bracis-28359	68	20	\({\textbf	\({\textbf	PROPN
bracis-28359	68	21	{	{	PUNCT
bracis-28359	68	22	x}}_i\	x}}_i\	NOUN
bracis-28359	68	23	)	)	PUNCT
bracis-28359	68	24	.	.	PUNCT
bracis-28359	69	1	we	we	PRON
bracis-28359	69	2	use	use	VERB
bracis-28359	69	3	\(\mathcal	\(\mathcal	ADJ
bracis-28359	69	4	{	{	PUNCT
bracis-28359	69	5	e}^=	e}^=	ADJ
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bracis-28359	69	7	\mid	\mid	NOUN
bracis-28359	69	8	y_i	y_i	X
bracis-28359	69	9	=	=	SYM
bracis-28359	69	10	0	0	NUM
bracis-28359	69	11	,	,	PUNCT
bracis-28359	69	12	1	1	NUM
bracis-28359	69	13	\le	\le	NOUN
bracis-28359	69	14	i	i	PRON
bracis-28359	69	15	\le	\le	NOUN
bracis-28359	69	16	n\}\	n\}\	NOUN
bracis-28359	69	17	)	)	PUNCT
bracis-28359	69	18	and	and	CCONJ
bracis-28359	69	19	\(\mathcal	\(\mathcal	ADJ
bracis-28359	69	20	{	{	PUNCT
bracis-28359	69	21	e}^+	e}^+	NOUN
bracis-28359	69	22	=	=	PUNCT
bracis-28359	69	23	\{x_i	\{x_i	X
bracis-28359	69	24	\mid	\mid	NOUN
bracis-28359	69	25	y_i	y_i	X
bracis-28359	69	26	=	=	SYM
bracis-28359	69	27	1	1	NUM
bracis-28359	69	28	,	,	PUNCT
bracis-28359	69	29	1	1	NUM
bracis-28359	69	30	\le	\le	NOUN
bracis-28359	69	31	i	i	PRON
bracis-28359	69	32	\le	\le	NOUN
bracis-28359	69	33	n\}\	n\}\	NOUN
bracis-28359	69	34	)	)	PUNCT
bracis-28359	69	35	.	.	PUNCT
bracis-28359	70	1	to	to	PART
bracis-28359	70	2	represent	represent	VERB
bracis-28359	70	3	the	the	DET
bracis-28359	70	4	size	size	NOUN
bracis-28359	70	5	of	of	ADP
bracis-28359	70	6	these	these	DET
bracis-28359	70	7	sets	set	NOUN
bracis-28359	70	8	,	,	PUNCT
bracis-28359	70	9	that	that	ADV
bracis-28359	70	10	is	is	ADV
bracis-28359	70	11	,	,	PUNCT
bracis-28359	70	12	the	the	DET
bracis-28359	70	13	number	number	NOUN
bracis-28359	70	14	of	of	ADP
bracis-28359	70	15	samples	sample	NOUN
bracis-28359	70	16	contained	contain	VERB
bracis-28359	70	17	in	in	ADP
bracis-28359	70	18	them	they	PRON
bracis-28359	70	19	,	,	PUNCT
bracis-28359	70	20	we	we	PRON
bracis-28359	70	21	use	use	VERB
bracis-28359	70	22	the	the	DET
bracis-28359	70	23	notations	notation	NOUN
bracis-28359	70	24	:	:	PUNCT
bracis-28359	70	25	\(|\mathcal	\(|\mathcal	X
bracis-28359	70	26	{	{	PUNCT
bracis-28359	70	27	e}^-|\	e}^-|\	NOUN
bracis-28359	70	28	)	)	PUNCT
bracis-28359	70	29	and	and	CCONJ
bracis-28359	70	30	\(|\mathcal	\(|\mathcal	X
bracis-28359	70	31	{	{	PUNCT
bracis-28359	70	32	e}^+|\	e}^+|\	ADJ
bracis-28359	70	33	)	)	PUNCT
bracis-28359	70	34	.	.	PUNCT
bracis-28359	71	1	example	example	NOUN
bracis-28359	72	1	1	1	NUM
bracis-28359	72	2	let	let	VERB
bracis-28359	72	3	\({\textbf	\({\textbf	PROPN
bracis-28359	72	4	{	{	PUNCT
bracis-28359	72	5	x}}\	x}}\	VERB
bracis-28359	72	6	)	)	PUNCT
bracis-28359	72	7	be	be	VERB
bracis-28359	72	8	the	the	DET
bracis-28359	72	9	set	set	NOUN
bracis-28359	72	10	of	of	ADP
bracis-28359	72	11	samples	sample	NOUN
bracis-28359	72	12	$	$	SYM
bracis-28359	72	13	$	$	SYM
bracis-28359	72	14	{	{	PUNCT
bracis-28359	72	15	\textbf	\textbf	PROPN
bracis-28359	72	16	{	{	PUNCT
bracis-28359	72	17	x	x	NOUN
bracis-28359	72	18	}	}	PUNCT
bracis-28359	72	19	}	}	PUNCT
bracis-28359	72	20	=	=	SYM
bracis-28359	72	21	\left	\left	PROPN
bracis-28359	72	22	[	[	PUNCT
bracis-28359	72	23	\begin{array}{ccc	\begin{array}{ccc	PRON
bracis-28359	72	24	}	}	PUNCT
bracis-28359	72	25	0&{}0&{}1\\	0&{}0&{}1\\	VERB
bracis-28359	72	26	0&{}1&{}0\\	0&{}1&{}0\\	NOUN
bracis-28359	72	27	0&{}1&{}1\\	0&{}1&{}1\\	NOUN
bracis-28359	72	28	1&{}0&{}0	1&{}0&{}0	PROPN
bracis-28359	72	29	\end{array}\right	\end{array}\right	PROPN
bracis-28359	72	30	]	]	PUNCT
bracis-28359	72	31	$	$	SYM
bracis-28359	72	32	$	$	NUM
bracis-28359	72	33	and	and	CCONJ
bracis-28359	72	34	their	their	PRON
bracis-28359	72	35	classifications	classification	NOUN
bracis-28359	72	36	\({\textbf	\({\textbf	NOUN
bracis-28359	72	37	{	{	PUNCT
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bracis-28359	72	39	}	}	PUNCT
bracis-28359	72	40	}	}	PUNCT
bracis-28359	72	41	=	=	PUNCT
bracis-28359	73	1	[	[	X
bracis-28359	73	2	1	1	NUM
bracis-28359	73	3	,	,	PUNCT
bracis-28359	73	4	0	0	NUM
bracis-28359	73	5	,	,	PUNCT
bracis-28359	73	6	0	0	NUM
bracis-28359	73	7	,	,	PUNCT
bracis-28359	73	8	1]\	1]\	NUM
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bracis-28359	73	10	.	.	PUNCT
bracis-28359	74	1	the	the	DET
bracis-28359	74	2	samples	sample	NOUN
bracis-28359	74	3	\({\textbf	\({\textbf	PROPN
bracis-28359	74	4	{	{	PUNCT
bracis-28359	74	5	x}}_i\	x}}_i\	NOUN
bracis-28359	74	6	)	)	PUNCT
bracis-28359	74	7	are	be	AUX
bracis-28359	74	8	:	:	PUNCT
bracis-28359	74	9	\({\textbf	\({\textbf	X
bracis-28359	74	10	{	{	PUNCT
bracis-28359	74	11	x}}_1	x}}_1	PUNCT
bracis-28359	75	1	=	=	PUNCT
bracis-28359	76	1	[	[	X
bracis-28359	76	2	0	0	NUM
bracis-28359	76	3	,	,	PUNCT
bracis-28359	76	4	0	0	NUM
bracis-28359	76	5	,	,	PUNCT
bracis-28359	76	6	1	1	NUM
bracis-28359	76	7	]	]	PUNCT
bracis-28359	76	8	,	,	PUNCT
bracis-28359	76	9	...	...	PUNCT
bracis-28359	76	10	,	,	PUNCT
bracis-28359	76	11	{	{	PUNCT
bracis-28359	76	12	\textbf	\textbf	PROPN
bracis-28359	76	13	{	{	PUNCT
bracis-28359	76	14	x}}_4	x}}_4	PROPN
bracis-28359	76	15	=	=	PUNCT
bracis-28359	77	1	[	[	X
bracis-28359	77	2	1	1	NUM
bracis-28359	77	3	,	,	PUNCT
bracis-28359	77	4	0	0	NUM
bracis-28359	77	5	,	,	PUNCT
bracis-28359	77	6	0]\	0]\	NOUN
bracis-28359	77	7	)	)	PUNCT
bracis-28359	77	8	.	.	PUNCT
bracis-28359	78	1	the	the	DET
bracis-28359	78	2	values	value	NOUN
bracis-28359	78	3	of	of	ADP
bracis-28359	78	4	each	each	DET
bracis-28359	78	5	sample	sample	NOUN
bracis-28359	78	6	\(x_{i	\(x_{i	ADP
bracis-28359	78	7	,	,	PUNCT
bracis-28359	78	8	j}\	j}\	PROPN
bracis-28359	78	9	)	)	PUNCT
bracis-28359	78	10	are	be	AUX
bracis-28359	78	11	:	:	PUNCT
bracis-28359	78	12	\(x_{1,1}=0	\(x_{1,1}=0	NUM
bracis-28359	78	13	,	,	PUNCT
bracis-28359	78	14	x_{1,2}=0	x_{1,2}=0	PROPN
bracis-28359	78	15	,	,	PUNCT
bracis-28359	78	16	x_{1,3}=1	x_{1,3}=1	PROPN
bracis-28359	78	17	,	,	PUNCT
bracis-28359	78	18	x_{2,1}=0	x_{2,1}=0	PROPN
bracis-28359	78	19	,	,	PUNCT
bracis-28359	78	20	...	...	PUNCT
bracis-28359	78	21	,	,	PUNCT
bracis-28359	78	22	x_{4,3}=0\	x_{4,3}=0\	PROPN
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bracis-28359	78	24	.	.	PUNCT
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bracis-28359	79	2	class	class	NOUN
bracis-28359	79	3	values	value	VERB
bracis-28359	79	4	\(y_i\	\(y_i\	NOUN
bracis-28359	79	5	)	)	PUNCT
bracis-28359	79	6	of	of	ADP
bracis-28359	79	7	each	each	DET
bracis-28359	79	8	sample	sample	NOUN
bracis-28359	79	9	are	be	AUX
bracis-28359	79	10	:	:	PUNCT
bracis-28359	79	11	\(y_1=1	\(y_1=1	ADJ
bracis-28359	79	12	,	,	PUNCT
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bracis-28359	79	14	,	,	PUNCT
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bracis-28359	79	17	.	.	PUNCT
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bracis-28359	80	2	can	can	AUX
bracis-28359	80	3	divide	divide	VERB
bracis-28359	80	4	\({\textbf	\({\textbf	PROPN
bracis-28359	80	5	{	{	PUNCT
bracis-28359	80	6	x}}\	x}}\	NOUN
bracis-28359	80	7	)	)	PUNCT
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bracis-28359	80	9	two	two	NUM
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bracis-28359	80	11	in	in	ADP
bracis-28359	80	12	several	several	ADJ
bracis-28359	80	13	different	different	ADJ
bracis-28359	80	14	ways	way	NOUN
bracis-28359	80	15	,	,	PUNCT
bracis-28359	80	16	one	one	NUM
bracis-28359	80	17	of	of	ADP
bracis-28359	80	18	which	which	PRON
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bracis-28359	80	20	:	:	PUNCT
bracis-28359	80	21	\({\textbf	\({\textbf	PROPN
bracis-28359	80	22	{	{	PUNCT
bracis-28359	80	23	x}}^1	x}}^1	PROPN
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bracis-28359	80	25	\left	\left	PROPN
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bracis-28359	80	27	\begin{array}{ccc	\begin{array}{ccc	PRON
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bracis-28359	80	29	0&{}1&{}1\\	0&{}1&{}1\\	NOUN
bracis-28359	80	30	0&{}1&{}0	0&{}1&{}0	NOUN
bracis-28359	80	31	\end{array}\right	\end{array}\right	PROPN
bracis-28359	80	32	]	]	PUNCT
bracis-28359	80	33	\	\	NOUN
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bracis-28359	80	36	\({\textbf	\({\textbf	PROPN
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bracis-28359	80	39	=	=	PUNCT
bracis-28359	81	1	[	[	X
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bracis-28359	81	3	,	,	PUNCT
bracis-28359	81	4	0]\	0]\	PROPN
bracis-28359	81	5	)	)	PUNCT
bracis-28359	81	6	,	,	PUNCT
bracis-28359	81	7	\({\textbf	\({\textbf	PROPN
bracis-28359	81	8	{	{	PUNCT
bracis-28359	81	9	x}}^2	x}}^2	PROPN
bracis-28359	81	10	=	=	SYM
bracis-28359	81	11	\left	\left	PROPN
bracis-28359	81	12	[	[	PUNCT
bracis-28359	81	13	\begin{array}{ccc	\begin{array}{ccc	PRON
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bracis-28359	81	15	1&{}0&{}0\\	1&{}0&{}0\\	NUM
bracis-28359	81	16	0&{}0&{}1	0&{}0&{}1	NOUN
bracis-28359	81	17	\end{array}\right	\end{array}\right	PROPN
bracis-28359	81	18	]	]	PUNCT
bracis-28359	81	19	\	\	NOUN
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bracis-28359	82	1	e	e	X
bracis-28359	82	2	\({\textbf	\({\textbf	PROPN
bracis-28359	82	3	{	{	PUNCT
bracis-28359	82	4	y}}^2	y}}^2	NOUN
bracis-28359	82	5	=	=	PUNCT
bracis-28359	83	1	[	[	X
bracis-28359	83	2	1	1	NUM
bracis-28359	83	3	,	,	PUNCT
bracis-28359	83	4	1]\	1]\	PROPN
bracis-28359	83	5	)	)	PUNCT
bracis-28359	83	6	.	.	PUNCT
bracis-28359	83	7	example	example	NOUN
bracis-28359	84	1	2	2	NUM
bracis-28359	84	2	let	let	VERB
bracis-28359	84	3	\({\textbf	\({\textbf	PROPN
bracis-28359	84	4	{	{	PUNCT
bracis-28359	84	5	x}}\	x}}\	VERB
bracis-28359	84	6	)	)	PUNCT
bracis-28359	84	7	be	be	VERB
bracis-28359	84	8	the	the	DET
bracis-28359	84	9	set	set	NOUN
bracis-28359	84	10	of	of	ADP
bracis-28359	84	11	samples	sample	NOUN
bracis-28359	84	12	from	from	ADP
bracis-28359	84	13	example	example	NOUN
bracis-28359	84	14	 	 	SPACE
bracis-28359	84	15	1	1	NUM
bracis-28359	84	16	,	,	PUNCT
bracis-28359	84	17	then	then	ADV
bracis-28359	84	18	$	$	SYM
bracis-28359	84	19	$	$	SYM
bracis-28359	84	20	\lnot	\lnot	PROPN
bracis-28359	84	21	{	{	PUNCT
bracis-28359	84	22	\textbf	\textbf	PROPN
bracis-28359	84	23	{	{	PUNCT
bracis-28359	84	24	x	x	NOUN
bracis-28359	84	25	}	}	PUNCT
bracis-28359	84	26	}	}	PUNCT
bracis-28359	84	27	=	=	SYM
bracis-28359	84	28	\left	\left	PROPN
bracis-28359	84	29	[	[	PUNCT
bracis-28359	84	30	\begin{array}{ccc	\begin{array}{ccc	PRON
bracis-28359	84	31	}	}	PUNCT
bracis-28359	84	32	1&{}1&{}0\\	1&{}1&{}0\\	NUM
bracis-28359	84	33	1&{}0&{}1\\	1&{}0&{}1\\	NUM
bracis-28359	84	34	1&{}0&{}0\\	1&{}0&{}0\\	NUM
bracis-28359	84	35	0&{}1&{}1	0&{}1&{}1	PROPN
bracis-28359	84	36	\end{array}\right	\end{array}\right	PROPN
bracis-28359	84	37	]	]	PUNCT
bracis-28359	84	38	$	$	SYM
bracis-28359	84	39	$	$	NUM
bracis-28359	84	40	and	and	CCONJ
bracis-28359	84	41	\(\lnot	\(\lnot	ADV
bracis-28359	84	42	{	{	PUNCT
bracis-28359	84	43	\textbf	\textbf	PROPN
bracis-28359	84	44	{	{	PUNCT
bracis-28359	84	45	y	y	NOUN
bracis-28359	84	46	}	}	PUNCT
bracis-28359	84	47	}	}	PUNCT
bracis-28359	84	48	=	=	PUNCT
bracis-28359	85	1	[	[	X
bracis-28359	85	2	0	0	NUM
bracis-28359	85	3	,	,	PUNCT
bracis-28359	85	4	1	1	NUM
bracis-28359	85	5	,	,	PUNCT
bracis-28359	85	6	1	1	NUM
bracis-28359	85	7	,	,	PUNCT
bracis-28359	85	8	0]\	0]\	NOUN
bracis-28359	85	9	)	)	PUNCT
bracis-28359	85	10	.	.	PUNCT
bracis-28359	86	1	the	the	DET
bracis-28359	86	2	samples	sample	NOUN
bracis-28359	86	3	\(\lnot	\(\lnot	ADV
bracis-28359	86	4	{	{	PUNCT
bracis-28359	86	5	\textbf	\textbf	PROPN
bracis-28359	86	6	{	{	PUNCT
bracis-28359	86	7	x}}_i\	x}}_i\	NOUN
bracis-28359	86	8	)	)	PUNCT
bracis-28359	86	9	are	be	AUX
bracis-28359	86	10	:	:	PUNCT
bracis-28359	86	11	\(\lnot	\(\lnot	ADV
bracis-28359	86	12	{	{	PUNCT
bracis-28359	86	13	\textbf	\textbf	PROPN
bracis-28359	86	14	{	{	PUNCT
bracis-28359	86	15	x}}_1	x}}_1	PUNCT
bracis-28359	86	16	=	=	PUNCT
bracis-28359	87	1	[	[	X
bracis-28359	87	2	1	1	NUM
bracis-28359	87	3	,	,	PUNCT
bracis-28359	87	4	1	1	NUM
bracis-28359	87	5	,	,	PUNCT
bracis-28359	87	6	0	0	NUM
bracis-28359	87	7	]	]	PUNCT
bracis-28359	87	8	,	,	PUNCT
bracis-28359	87	9	...	...	PUNCT
bracis-28359	87	10	,	,	PUNCT
bracis-28359	87	11	\lnot	\lnot	INTJ
bracis-28359	87	12	{	{	PUNCT
bracis-28359	87	13	\textbf	\textbf	PROPN
bracis-28359	87	14	{	{	PUNCT
bracis-28359	87	15	x}}_4	x}}_4	PROPN
bracis-28359	87	16	=	=	PUNCT
bracis-28359	88	1	[	[	X
bracis-28359	88	2	0	0	NUM
bracis-28359	88	3	,	,	PUNCT
bracis-28359	88	4	1	1	NUM
bracis-28359	88	5	,	,	PUNCT
bracis-28359	88	6	1]\	1]\	NUM
bracis-28359	88	7	)	)	PUNCT
bracis-28359	88	8	.	.	PUNCT
bracis-28359	89	1	the	the	DET
bracis-28359	89	2	values	value	NOUN
bracis-28359	89	3	of	of	ADP
bracis-28359	89	4	each	each	DET
bracis-28359	89	5	sample	sample	NOUN
bracis-28359	89	6	\(\lnot	\(\lnot	ADV
bracis-28359	89	7	x_{i	x_{i	PROPN
bracis-28359	89	8	,	,	PUNCT
bracis-28359	89	9	j}\	j}\	PROPN
bracis-28359	89	10	)	)	PUNCT
bracis-28359	89	11	are	be	AUX
bracis-28359	89	12	:	:	PUNCT
bracis-28359	89	13	\(\lnot	\(\lnot	ADV
bracis-28359	89	14	x_{1,1}=1	x_{1,1}=1	PROPN
bracis-28359	89	15	,	,	PUNCT
bracis-28359	89	16	\lnot	\lnot	PROPN
bracis-28359	89	17	x_{1,2}=1	x_{1,2}=1	PROPN
bracis-28359	89	18	,	,	PUNCT
bracis-28359	89	19	\lnot	\lnot	PROPN
bracis-28359	89	20	x_{1,3}=0	x_{1,3}=0	PROPN
bracis-28359	89	21	,	,	PUNCT
bracis-28359	89	22	\lnot	\lnot	PROPN
bracis-28359	89	23	x_{2,1}=1	x_{2,1}=1	PROPN
bracis-28359	89	24	,	,	PUNCT
bracis-28359	89	25	...	...	PUNCT
bracis-28359	89	26	,	,	PUNCT
bracis-28359	89	27	\lnot	\lnot	PROPN
bracis-28359	89	28	x_{4,3}=1\	x_{4,3}=1\	PROPN
bracis-28359	89	29	)	)	PUNCT
bracis-28359	89	30	.	.	PUNCT
bracis-28359	90	1	the	the	DET
bracis-28359	90	2	class	class	NOUN
bracis-28359	90	3	values	value	NOUN
bracis-28359	90	4	of	of	ADP
bracis-28359	90	5	each	each	DET
bracis-28359	90	6	sample	sample	NOUN
bracis-28359	90	7	\(\lnot	\(\lnot	ADV
bracis-28359	90	8	y_i\	y_i\	NOUN
bracis-28359	90	9	)	)	PUNCT
bracis-28359	90	10	are	be	AUX
bracis-28359	90	11	:	:	PUNCT
bracis-28359	90	12	\(\lnot	\(\lnot	ADV
bracis-28359	90	13	y_1=0	y_1=0	NOUN
bracis-28359	90	14	,	,	PUNCT
bracis-28359	90	15	...	...	PUNCT
bracis-28359	90	16	,	,	PUNCT
bracis-28359	90	17	\lnot	\lnot	PROPN
bracis-28359	90	18	y_4=0\	y_4=0\	PROPN
bracis-28359	90	19	)	)	PUNCT
bracis-28359	90	20	.	.	PUNCT
bracis-28359	91	1	we	we	PRON
bracis-28359	91	2	can	can	AUX
bracis-28359	91	3	divide	divide	VERB
bracis-28359	91	4	\(\lnot	\(\lnot	ADV
bracis-28359	91	5	{	{	PUNCT
bracis-28359	91	6	\textbf	\textbf	PROPN
bracis-28359	91	7	{	{	PUNCT
bracis-28359	91	8	x}}\	x}}\	NOUN
bracis-28359	91	9	)	)	PUNCT
bracis-28359	91	10	in	in	ADP
bracis-28359	91	11	partitions	partition	NOUN
bracis-28359	91	12	as	as	ADP
bracis-28359	91	13	in	in	ADP
bracis-28359	91	14	example	example	NOUN
bracis-28359	91	15	 	 	SPACE
bracis-28359	91	16	1	1	NUM
bracis-28359	91	17	:	:	PUNCT
bracis-28359	91	18	\(\lnot	\(\lnot	X
bracis-28359	91	19	{	{	PUNCT
bracis-28359	91	20	\textbf	\textbf	PROPN
bracis-28359	91	21	{	{	PUNCT
bracis-28359	91	22	x}}^1	x}}^1	PROPN
bracis-28359	91	23	=	=	SYM
bracis-28359	91	24	\left	\left	PROPN
bracis-28359	91	25	[	[	PUNCT
bracis-28359	91	26	\begin{array}{ccc	\begin{array}{ccc	PRON
bracis-28359	91	27	}	}	PUNCT
bracis-28359	91	28	1&{}0&{}0\\	1&{}0&{}0\\	NUM
bracis-28359	91	29	1&{}0&{}1	1&{}0&{}1	NUM
bracis-28359	91	30	\end{array}\right	\end{array}\right	PROPN
bracis-28359	91	31	]	]	PUNCT
bracis-28359	91	32	\	\	NOUN
bracis-28359	91	33	)	)	PUNCT
bracis-28359	91	34	,	,	PUNCT
bracis-28359	91	35	\(\lnot	\(\lnot	ADV
bracis-28359	91	36	{	{	PUNCT
bracis-28359	91	37	\textbf	\textbf	PROPN
bracis-28359	91	38	{	{	PUNCT
bracis-28359	91	39	y}}^1	y}}^1	NOUN
bracis-28359	91	40	=	=	PUNCT
bracis-28359	92	1	[	[	X
bracis-28359	92	2	1	1	NUM
bracis-28359	92	3	,	,	PUNCT
bracis-28359	92	4	1]\	1]\	PROPN
bracis-28359	92	5	)	)	PUNCT
bracis-28359	92	6	,	,	PUNCT
bracis-28359	92	7	\(\lnot	\(\lnot	ADV
bracis-28359	92	8	{	{	PUNCT
bracis-28359	92	9	\textbf	\textbf	PROPN
bracis-28359	92	10	{	{	PUNCT
bracis-28359	92	11	x}}^2	x}}^2	PROPN
bracis-28359	92	12	=	=	SYM
bracis-28359	92	13	\left	\left	PROPN
bracis-28359	92	14	[	[	PUNCT
bracis-28359	92	15	\begin{array}{ccc	\begin{array}{ccc	PRON
bracis-28359	92	16	}	}	PUNCT
bracis-28359	92	17	0&{}1&{}1\\	0&{}1&{}1\\	ADJ
bracis-28359	92	18	1&{}1&{}0	1&{}1&{}0	PROPN
bracis-28359	92	19	\end{array}\right	\end{array}\right	PROPN
bracis-28359	92	20	]	]	PUNCT
bracis-28359	92	21	\	\	NOUN
bracis-28359	92	22	)	)	PUNCT
bracis-28359	92	23	e	e	X
bracis-28359	92	24	\(\lnot	\(\lnot	ADV
bracis-28359	92	25	{	{	PUNCT
bracis-28359	92	26	\textbf	\textbf	PROPN
bracis-28359	92	27	{	{	PUNCT
bracis-28359	92	28	y}}^2	y}}^2	NOUN
bracis-28359	92	29	=	=	PUNCT
bracis-28359	93	1	[	[	X
bracis-28359	93	2	0	0	NUM
bracis-28359	93	3	,	,	PUNCT
bracis-28359	93	4	0]\	0]\	PROPN
bracis-28359	93	5	)	)	PUNCT
bracis-28359	93	6	.	.	PUNCT
bracis-28359	94	1	we	we	PRON
bracis-28359	94	2	define	define	VERB
bracis-28359	94	3	a	a	DET
bracis-28359	94	4	set	set	NOUN
bracis-28359	94	5	of	of	ADP
bracis-28359	94	6	rules	rule	NOUN
bracis-28359	94	7	being	be	AUX
bracis-28359	94	8	the	the	DET
bracis-28359	94	9	disjunction	disjunction	NOUN
bracis-28359	94	10	of	of	ADP
bracis-28359	94	11	rules	rule	NOUN
bracis-28359	94	12	and	and	CCONJ
bracis-28359	94	13	is	be	AUX
bracis-28359	94	14	represented	represent	VERB
bracis-28359	94	15	by	by	ADP
bracis-28359	94	16	\({\textbf	\({\textbf	PROPN
bracis-28359	94	17	{	{	PUNCT
bracis-28359	94	18	r}}\	r}}\	PROPN
bracis-28359	94	19	)	)	PUNCT
bracis-28359	94	20	.	.	PUNCT
bracis-28359	95	1	a	a	DET
bracis-28359	95	2	rule	rule	NOUN
bracis-28359	95	3	is	be	AUX
bracis-28359	95	4	a	a	DET
bracis-28359	95	5	conjunction	conjunction	NOUN
bracis-28359	95	6	of	of	ADP
bracis-28359	95	7	one	one	NUM
bracis-28359	95	8	or	or	CCONJ
bracis-28359	95	9	more	more	ADJ
bracis-28359	95	10	features	feature	NOUN
bracis-28359	95	11	.	.	PUNCT
bracis-28359	96	1	each	each	DET
bracis-28359	96	2	rule	rule	NOUN
bracis-28359	96	3	in	in	ADP
bracis-28359	96	4	\({\textbf	\({\textbf	PROPN
bracis-28359	96	5	{	{	PUNCT
bracis-28359	96	6	r}}\	r}}\	PROPN
bracis-28359	96	7	)	)	PUNCT
bracis-28359	96	8	is	be	AUX
bracis-28359	96	9	represented	represent	VERB
bracis-28359	96	10	by	by	ADP
bracis-28359	96	11	\(r_o\	\(r_o\	NOUN
bracis-28359	96	12	)	)	PUNCT
bracis-28359	96	13	with	with	ADP
bracis-28359	96	14	\(o	\(o	ADJ
bracis-28359	96	15	\in	\in	PROPN
bracis-28359	96	16	\{1,	\{1,	ADJ
bracis-28359	96	17	...	...	PUNCT
bracis-28359	96	18	,k\}\	,k\}\	PROPN
bracis-28359	96	19	)	)	PUNCT
bracis-28359	96	20	,	,	PUNCT
bracis-28359	96	21	where	where	SCONJ
bracis-28359	96	22	k	k	PROPN
bracis-28359	96	23	is	be	AUX
bracis-28359	96	24	the	the	DET
bracis-28359	96	25	number	number	NOUN
bracis-28359	96	26	of	of	ADP
bracis-28359	96	27	rules	rule	NOUN
bracis-28359	96	28	.	.	PUNCT
bracis-28359	97	1	moreover	moreover	ADV
bracis-28359	97	2	,	,	PUNCT
bracis-28359	97	3	\({\textbf	\({\textbf	PROPN
bracis-28359	97	4	{	{	PUNCT
bracis-28359	97	5	r}}({\textbf	r}}({\textbf	NOUN
bracis-28359	97	6	{	{	PUNCT
bracis-28359	97	7	x}}_i)\	x}}_i)\	NOUN
bracis-28359	97	8	)	)	PUNCT
bracis-28359	97	9	represents	represent	VERB
bracis-28359	97	10	the	the	DET
bracis-28359	97	11	application	application	NOUN
bracis-28359	97	12	of	of	ADP
bracis-28359	97	13	\({\textbf	\({\textbf	PROPN
bracis-28359	97	14	{	{	PUNCT
bracis-28359	97	15	r}}\	r}}\	PROPN
bracis-28359	97	16	)	)	PUNCT
bracis-28359	97	17	to	to	ADP
bracis-28359	97	18	\({\textbf	\({\textbf	PROPN
bracis-28359	97	19	{	{	PUNCT
bracis-28359	97	20	x}}_i\	x}}_i\	NOUN
bracis-28359	97	21	)	)	PUNCT
bracis-28359	97	22	.	.	PUNCT
bracis-28359	98	1	the	the	DET
bracis-28359	98	2	notations	notation	NOUN
bracis-28359	98	3	\(|{\textbf	\(|{\textbf	PROPN
bracis-28359	98	4	{	{	PUNCT
bracis-28359	98	5	r}}|\	r}}|\	NUM
bracis-28359	98	6	)	)	PUNCT
bracis-28359	98	7	and	and	CCONJ
bracis-28359	98	8	\(|r_o|\	\(|r_o|\	VERB
bracis-28359	98	9	)	)	PUNCT
bracis-28359	98	10	are	be	AUX
bracis-28359	98	11	used	use	VERB
bracis-28359	98	12	to	to	PART
bracis-28359	98	13	represent	represent	VERB
bracis-28359	98	14	the	the	DET
bracis-28359	98	15	number	number	NOUN
bracis-28359	98	16	of	of	ADP
bracis-28359	98	17	features	feature	NOUN
bracis-28359	98	18	in	in	ADP
bracis-28359	98	19	\({\textbf	\({\textbf	PROPN
bracis-28359	98	20	{	{	PUNCT
bracis-28359	98	21	r}}\	r}}\	PROPN
bracis-28359	98	22	)	)	PUNCT
bracis-28359	98	23	and	and	CCONJ
bracis-28359	98	24	\(r_o\	\(r_o\	NOUN
bracis-28359	98	25	)	)	PUNCT
bracis-28359	98	26	,	,	PUNCT
bracis-28359	98	27	respectively	respectively	ADV
bracis-28359	98	28	.	.	PUNCT
bracis-28359	98	29	example	example	NOUN
bracis-28359	98	30	3	3	NUM
bracis-28359	98	31	let	let	VERB
bracis-28359	98	32	\(x^1=\	\(x^1=\	NOUN
bracis-28359	98	33	)	)	PUNCT
bracis-28359	98	34	man	man	NOUN
bracis-28359	98	35	,	,	PUNCT
bracis-28359	98	36	\(x^2=\	\(x^2=\	NOUN
bracis-28359	98	37	)	)	PUNCT
bracis-28359	98	38	smoke	smoke	NOUN
bracis-28359	98	39	,	,	PUNCT
bracis-28359	98	40	\(x^3=\	\(x^3=\	NOUN
bracis-28359	98	41	)	)	PUNCT
bracis-28359	98	42	hike	hike	NOUN
bracis-28359	98	43	be	be	AUX
bracis-28359	98	44	labels	label	NOUN
bracis-28359	98	45	of	of	ADP
bracis-28359	98	46	features	feature	NOUN
bracis-28359	98	47	.	.	PUNCT
bracis-28359	99	1	let	let	VERB
bracis-28359	99	2	\({\textbf	\({\textbf	PROPN
bracis-28359	99	3	{	{	PUNCT
bracis-28359	99	4	r}}\	r}}\	PROPN
bracis-28359	99	5	)	)	PUNCT
bracis-28359	99	6	be	be	VERB
bracis-28359	99	7	the	the	DET
bracis-28359	99	8	set	set	NOUN
bracis-28359	99	9	of	of	ADP
bracis-28359	99	10	rules	rule	NOUN
bracis-28359	99	11	\({\textbf	\({\textbf	PROPN
bracis-28359	99	12	{	{	PUNCT
bracis-28359	99	13	r	r	NOUN
bracis-28359	99	14	}	}	PUNCT
bracis-28359	99	15	}	}	PUNCT
bracis-28359	99	16	=	=	SYM
bracis-28359	99	17	\	\	NOUN
bracis-28359	99	18	)	)	PUNCT
bracis-28359	99	19	(	(	PUNCT
bracis-28359	99	20	man	man	NOUN
bracis-28359	99	21	)	)	PUNCT
bracis-28359	99	22	\(\vee	\(\vee	NOUN
bracis-28359	100	1	\	\	NOUN
bracis-28359	100	2	)	)	PUNCT
bracis-28359	100	3	(	(	PUNCT
bracis-28359	100	4	smoke	smoke	NOUN
bracis-28359	100	5	\(\wedge	\(\wedge	NOUN
bracis-28359	100	6	\	\	NOUN
bracis-28359	100	7	)	)	PUNCT
bracis-28359	100	8	\(\lnot	\(\lnot	ADV
bracis-28359	100	9	\)hike	\)hike	ADJ
bracis-28359	100	10	)	)	PUNCT
bracis-28359	100	11	.	.	PUNCT
bracis-28359	101	1	the	the	DET
bracis-28359	101	2	rules	rule	NOUN
bracis-28359	101	3	\(r_o\	\(r_o\	VERB
bracis-28359	101	4	)	)	PUNCT
bracis-28359	101	5	are	be	AUX
bracis-28359	101	6	:	:	PUNCT
bracis-28359	101	7	\(r_1=\	\(r_1=\	NUM
bracis-28359	101	8	)	)	PUNCT
bracis-28359	101	9	(	(	PUNCT
bracis-28359	101	10	man	man	NOUN
bracis-28359	101	11	)	)	PUNCT
bracis-28359	101	12	and	and	CCONJ
bracis-28359	101	13	\(r_2=\	\(r_2=\	NUM
bracis-28359	101	14	)	)	PUNCT
bracis-28359	101	15	(	(	PUNCT
bracis-28359	101	16	smoke	smoke	NOUN
bracis-28359	101	17	\(\wedge	\(\wedge	NOUN
bracis-28359	101	18	\	\	NOUN
bracis-28359	101	19	)	)	PUNCT
bracis-28359	101	20	\(\lnot	\(\lnot	ADV
bracis-28359	101	21	\)hike	\)hike	ADJ
bracis-28359	101	22	)	)	PUNCT
bracis-28359	101	23	.	.	PUNCT
bracis-28359	102	1	the	the	DET
bracis-28359	102	2	application	application	NOUN
bracis-28359	102	3	of	of	ADP
bracis-28359	102	4	\({\textbf	\({\textbf	PROPN
bracis-28359	102	5	{	{	PUNCT
bracis-28359	102	6	r}}\	r}}\	PROPN
bracis-28359	102	7	)	)	PUNCT
bracis-28359	102	8	to	to	ADP
bracis-28359	102	9	\({\textbf	\({\textbf	PROPN
bracis-28359	102	10	{	{	PUNCT
bracis-28359	102	11	x}}_i\	x}}_i\	NOUN
bracis-28359	102	12	)	)	PUNCT
bracis-28359	102	13	is	be	AUX
bracis-28359	102	14	represented	represent	VERB
bracis-28359	102	15	as	as	SCONJ
bracis-28359	102	16	follows	follow	VERB
bracis-28359	102	17	:	:	PUNCT
bracis-28359	102	18	\({\textbf	\({\textbf	NOUN
bracis-28359	102	19	{	{	PUNCT
bracis-28359	102	20	r	r	NOUN
bracis-28359	102	21	}	}	PUNCT
bracis-28359	102	22	}	}	PUNCT
bracis-28359	102	23	(	(	PUNCT
bracis-28359	102	24	{	{	PUNCT
bracis-28359	102	25	\textbf	\textbf	PROPN
bracis-28359	102	26	{	{	PUNCT
bracis-28359	102	27	x}}_i	x}}_i	PROPN
bracis-28359	102	28	)	)	PUNCT
bracis-28359	102	29	=	=	SYM
bracis-28359	102	30	x_{i,1	x_{i,1	PROPN
bracis-28359	102	31	}	}	PUNCT
bracis-28359	102	32	\vee	\vee	PROPN
bracis-28359	102	33	(	(	PUNCT
bracis-28359	102	34	x_{i,2	x_{i,2	NOUN
bracis-28359	102	35	}	}	PUNCT
bracis-28359	102	36	\wedge	\wedge	PROPN
bracis-28359	102	37	\lnot	\lnot	PROPN
bracis-28359	102	38	x_{i,3})\	x_{i,3})\	PROPN
bracis-28359	102	39	)	)	PUNCT
bracis-28359	102	40	.	.	PUNCT
bracis-28359	103	1	for	for	ADP
bracis-28359	103	2	example	example	NOUN
bracis-28359	103	3	,	,	PUNCT
bracis-28359	103	4	let	let	VERB
bracis-28359	103	5	\({\textbf	\({\textbf	PROPN
bracis-28359	103	6	{	{	PUNCT
bracis-28359	103	7	x}}\	x}}\	VERB
bracis-28359	103	8	)	)	PUNCT
bracis-28359	103	9	be	be	VERB
bracis-28359	103	10	the	the	DET
bracis-28359	103	11	set	set	NOUN
bracis-28359	103	12	of	of	ADP
bracis-28359	103	13	samples	sample	NOUN
bracis-28359	103	14	from	from	ADP
bracis-28359	103	15	example	example	NOUN
bracis-28359	103	16	 	 	SPACE
bracis-28359	103	17	1	1	NUM
bracis-28359	103	18	,	,	PUNCT
bracis-28359	103	19	then	then	ADV
bracis-28359	103	20	:	:	PUNCT
bracis-28359	103	21	\({\textbf	\({\textbf	NOUN
bracis-28359	103	22	{	{	PUNCT
bracis-28359	103	23	r}}({\textbf	r}}({\textbf	NOUN
bracis-28359	103	24	{	{	PUNCT
bracis-28359	103	25	x}}_1	x}}_1	PRON
bracis-28359	103	26	)	)	PUNCT
bracis-28359	103	27	=	=	SYM
bracis-28359	104	1	x_{1,1	x_{1,1	PROPN
bracis-28359	104	2	}	}	PUNCT
bracis-28359	104	3	\vee	\vee	PROPN
bracis-28359	104	4	(	(	PUNCT
bracis-28359	104	5	x_{1,2	x_{1,2	PROPN
bracis-28359	104	6	}	}	PUNCT
bracis-28359	104	7	\wedge	\wedge	PROPN
bracis-28359	104	8	\lnot	\lnot	PROPN
bracis-28359	104	9	x_{1,3	x_{1,3	PROPN
bracis-28359	104	10	}	}	PUNCT
bracis-28359	104	11	)	)	PUNCT
bracis-28359	105	1	=	=	SYM
bracis-28359	105	2	0	0	NUM
bracis-28359	105	3	\vee	\vee	NOUN
bracis-28359	105	4	(	(	PUNCT
bracis-28359	105	5	0	0	NUM
bracis-28359	105	6	\wedge	\wedge	NOUN
bracis-28359	105	7	0	0	NUM
bracis-28359	105	8	)	)	PUNCT
bracis-28359	105	9	=	=	SYM
bracis-28359	105	10	0\	0\	PROPN
bracis-28359	105	11	)	)	PUNCT
bracis-28359	105	12	.	.	PUNCT
bracis-28359	106	1	moreover	moreover	ADV
bracis-28359	106	2	,	,	PUNCT
bracis-28359	106	3	we	we	PRON
bracis-28359	106	4	have	have	VERB
bracis-28359	106	5	that	that	DET
bracis-28359	106	6	\(|{\textbf	\(|{\textbf	PROPN
bracis-28359	106	7	{	{	PUNCT
bracis-28359	106	8	r}}|	r}}|	NOUN
bracis-28359	106	9	=	=	SYM
bracis-28359	106	10	3\	3\	NUM
bracis-28359	106	11	)	)	PUNCT
bracis-28359	106	12	,	,	PUNCT
bracis-28359	106	13	\(|r_1|	\(|r_1|	NOUN
bracis-28359	106	14	=	=	SYM
bracis-28359	106	15	1\	1\	NUM
bracis-28359	106	16	)	)	PUNCT
bracis-28359	106	17	and	and	CCONJ
bracis-28359	106	18	\(|r_2|	\(|r_2|	NOUN
bracis-28359	106	19	=	=	SYM
bracis-28359	106	20	2\	2\	NUM
bracis-28359	106	21	)	)	PUNCT
bracis-28359	106	22	.	.	PUNCT
bracis-28359	107	1	as	as	SCONJ
bracis-28359	107	2	we	we	PRON
bracis-28359	107	3	assume	assume	VERB
bracis-28359	107	4	a	a	DET
bracis-28359	107	5	set	set	NOUN
bracis-28359	107	6	of	of	ADP
bracis-28359	107	7	binary	binary	ADJ
bracis-28359	107	8	samples	sample	NOUN
bracis-28359	107	9	,	,	PUNCT
bracis-28359	107	10	we	we	PRON
bracis-28359	107	11	need	need	VERB
bracis-28359	107	12	to	to	PART
bracis-28359	107	13	perform	perform	VERB
bracis-28359	107	14	some	some	DET
bracis-28359	107	15	preprocessing	preprocessing	NOUN
bracis-28359	107	16	.	.	PUNCT
bracis-28359	108	1	preprocessing	preprocesse	VERB
bracis-28359	108	2	consists	consist	NOUN
bracis-28359	108	3	of	of	ADP
bracis-28359	108	4	binarizing	binarize	VERB
bracis-28359	108	5	a	a	DET
bracis-28359	108	6	set	set	NOUN
bracis-28359	108	7	of	of	ADP
bracis-28359	108	8	samples	sample	NOUN
bracis-28359	108	9	with	with	ADP
bracis-28359	108	10	numerical	numerical	ADJ
bracis-28359	108	11	or	or	CCONJ
bracis-28359	108	12	categorical	categorical	ADJ
bracis-28359	108	13	values	value	NOUN
bracis-28359	108	14	.	.	PUNCT
bracis-28359	109	1	the	the	DET
bracis-28359	109	2	algorithm	algorithm	NOUN
bracis-28359	109	3	divides	divide	VERB
bracis-28359	109	4	the	the	DET
bracis-28359	109	5	features	feature	NOUN
bracis-28359	109	6	into	into	ADP
bracis-28359	109	7	four	four	NUM
bracis-28359	109	8	types	type	NOUN
bracis-28359	109	9	:	:	PUNCT
bracis-28359	109	10	constant	constant	ADJ
bracis-28359	109	11	,	,	PUNCT
bracis-28359	109	12	where	where	SCONJ
bracis-28359	109	13	all	all	DET
bracis-28359	109	14	samples	sample	NOUN
bracis-28359	109	15	have	have	VERB
bracis-28359	109	16	the	the	DET
bracis-28359	109	17	same	same	ADJ
bracis-28359	109	18	value	value	NOUN
bracis-28359	109	19	;	;	PUNCT
bracis-28359	109	20	binary	binary	NOUN
bracis-28359	109	21	,	,	PUNCT
bracis-28359	109	22	where	where	SCONJ
bracis-28359	109	23	there	there	PRON
bracis-28359	109	24	are	be	VERB
bracis-28359	109	25	only	only	ADV
bracis-28359	109	26	two	two	NUM
bracis-28359	109	27	distinct	distinct	ADJ
bracis-28359	109	28	variations	variation	NOUN
bracis-28359	109	29	among	among	ADP
bracis-28359	109	30	all	all	DET
bracis-28359	109	31	the	the	DET
bracis-28359	109	32	samples	sample	NOUN
bracis-28359	109	33	for	for	ADP
bracis-28359	109	34	the	the	DET
bracis-28359	109	35	same	same	ADJ
bracis-28359	109	36	value	value	NOUN
bracis-28359	109	37	;	;	PUNCT
bracis-28359	109	38	categorical	categorical	ADJ
bracis-28359	109	39	,	,	PUNCT
bracis-28359	109	40	when	when	SCONJ
bracis-28359	109	41	the	the	DET
bracis-28359	109	42	feature	feature	NOUN
bracis-28359	109	43	does	do	AUX
bracis-28359	109	44	not	not	PART
bracis-28359	109	45	fit	fit	VERB
bracis-28359	109	46	in	in	ADP
bracis-28359	109	47	constant	constant	ADJ
bracis-28359	109	48	and	and	CCONJ
bracis-28359	109	49	binary	binary	NOUN
bracis-28359	109	50	and	and	CCONJ
bracis-28359	109	51	its	its	PRON
bracis-28359	109	52	values	value	NOUN
bracis-28359	109	53	are	be	AUX
bracis-28359	109	54	three	three	NUM
bracis-28359	109	55	or	or	CCONJ
bracis-28359	109	56	more	more	ADJ
bracis-28359	109	57	categories	category	NOUN
bracis-28359	109	58	;	;	PUNCT
bracis-28359	109	59	ordinal	ordinal	ADJ
bracis-28359	109	60	,	,	PUNCT
bracis-28359	109	61	when	when	SCONJ
bracis-28359	109	62	the	the	DET
bracis-28359	109	63	feature	feature	NOUN
bracis-28359	109	64	does	do	AUX
bracis-28359	109	65	not	not	PART
bracis-28359	109	66	fit	fit	VERB
bracis-28359	109	67	into	into	ADP
bracis-28359	109	68	constant	constant	ADJ
bracis-28359	109	69	and	and	CCONJ
bracis-28359	109	70	binary	binary	NOUN
bracis-28359	109	71	and	and	CCONJ
bracis-28359	109	72	has	have	VERB
bracis-28359	109	73	numerical	numerical	ADJ
bracis-28359	109	74	values	value	NOUN
bracis-28359	109	75	.	.	PUNCT
bracis-28359	110	1	when	when	SCONJ
bracis-28359	110	2	the	the	DET
bracis-28359	110	3	feature	feature	NOUN
bracis-28359	110	4	type	type	NOUN
bracis-28359	110	5	is	be	AUX
bracis-28359	110	6	constant	constant	ADJ
bracis-28359	110	7	,	,	PUNCT
bracis-28359	110	8	the	the	DET
bracis-28359	110	9	algorithm	algorithm	NOUN
bracis-28359	110	10	discards	discard	VERB
bracis-28359	110	11	that	that	DET
bracis-28359	110	12	feature	feature	NOUN
bracis-28359	110	13	.	.	PUNCT
bracis-28359	111	1	this	this	PRON
bracis-28359	111	2	happens	happen	VERB
bracis-28359	111	3	due	due	ADP
bracis-28359	111	4	to	to	ADP
bracis-28359	111	5	the	the	DET
bracis-28359	111	6	fact	fact	NOUN
bracis-28359	111	7	that	that	SCONJ
bracis-28359	111	8	a	a	DET
bracis-28359	111	9	feature	feature	NOUN
bracis-28359	111	10	common	common	ADJ
bracis-28359	111	11	to	to	ADP
bracis-28359	111	12	all	all	DET
bracis-28359	111	13	samples	sample	NOUN
bracis-28359	111	14	makes	make	VERB
bracis-28359	111	15	no	no	DET
bracis-28359	111	16	difference	difference	NOUN
bracis-28359	111	17	in	in	ADP
bracis-28359	111	18	the	the	DET
bracis-28359	111	19	generated	generate	VERB
bracis-28359	111	20	rules	rule	NOUN
bracis-28359	111	21	.	.	PUNCT
bracis-28359	112	1	when	when	SCONJ
bracis-28359	112	2	the	the	DET
bracis-28359	112	3	type	type	NOUN
bracis-28359	112	4	is	be	AUX
bracis-28359	112	5	binary	binary	ADJ
bracis-28359	112	6	,	,	PUNCT
bracis-28359	112	7	one	one	NUM
bracis-28359	112	8	of	of	ADP
bracis-28359	112	9	the	the	DET
bracis-28359	112	10	feature	feature	NOUN
bracis-28359	112	11	variations	variation	NOUN
bracis-28359	112	12	will	will	AUX
bracis-28359	112	13	receive	receive	VERB
bracis-28359	112	14	0	0	NUM
bracis-28359	112	15	and	and	CCONJ
bracis-28359	112	16	the	the	DET
bracis-28359	112	17	other	other	ADJ
bracis-28359	112	18	1	1	NUM
bracis-28359	112	19	as	as	ADP
bracis-28359	112	20	new	new	ADJ
bracis-28359	112	21	values	value	NOUN
bracis-28359	112	22	.	.	PUNCT
bracis-28359	113	1	if	if	SCONJ
bracis-28359	113	2	the	the	DET
bracis-28359	113	3	type	type	NOUN
bracis-28359	113	4	is	be	AUX
bracis-28359	113	5	categorical	categorical	ADJ
bracis-28359	113	6	,	,	PUNCT
bracis-28359	113	7	we	we	PRON
bracis-28359	113	8	employ	employ	VERB
bracis-28359	113	9	the	the	DET
bracis-28359	113	10	widely	widely	ADV
bracis-28359	113	11	recognized	recognize	VERB
bracis-28359	113	12	technique	technique	NOUN
bracis-28359	113	13	of	of	ADP
bracis-28359	113	14	one	one	NUM
bracis-28359	113	15	-	-	PUNCT
bracis-28359	113	16	hot	hot	ADJ
bracis-28359	113	17	encoding	encoding	NOUN
bracis-28359	113	18	.	.	PUNCT
bracis-28359	114	1	finally	finally	ADV
bracis-28359	114	2	,	,	PUNCT
bracis-28359	114	3	for	for	ADP
bracis-28359	114	4	the	the	DET
bracis-28359	114	5	ordinal	ordinal	ADJ
bracis-28359	114	6	type	type	NOUN
bracis-28359	114	7	feature	feature	NOUN
bracis-28359	114	8	,	,	PUNCT
bracis-28359	114	9	a	a	DET
bracis-28359	114	10	quantization	quantization	NOUN
bracis-28359	114	11	is	be	AUX
bracis-28359	114	12	performed	perform	VERB
bracis-28359	114	13	,	,	PUNCT
bracis-28359	114	14	that	that	ADV
bracis-28359	114	15	is	is	ADV
bracis-28359	114	16	,	,	PUNCT
bracis-28359	114	17	the	the	DET
bracis-28359	114	18	variations	variation	NOUN
bracis-28359	114	19	of	of	ADP
bracis-28359	114	20	this	this	DET
bracis-28359	114	21	feature	feature	NOUN
bracis-28359	114	22	are	be	AUX
bracis-28359	114	23	divided	divide	VERB
bracis-28359	114	24	into	into	ADP
bracis-28359	114	25	quantiles	quantile	NOUN
bracis-28359	114	26	.	.	PUNCT
bracis-28359	115	1	with	with	ADP
bracis-28359	115	2	this	this	PRON
bracis-28359	115	3	,	,	PUNCT
bracis-28359	115	4	boolean	boolean	ADJ
bracis-28359	115	5	values	value	NOUN
bracis-28359	115	6	are	be	AUX
bracis-28359	115	7	assigned	assign	VERB
bracis-28359	115	8	to	to	ADP
bracis-28359	115	9	each	each	DET
bracis-28359	115	10	quantile	quantile	NOUN
bracis-28359	115	11	according	accord	VERB
bracis-28359	115	12	to	to	ADP
bracis-28359	115	13	the	the	DET
bracis-28359	115	14	original	original	ADJ
bracis-28359	115	15	value	value	NOUN
bracis-28359	115	16	.	.	PUNCT
bracis-28359	116	1	we	we	PRON
bracis-28359	116	2	use	use	VERB
bracis-28359	116	3	sat	sit	VERB
bracis-28359	116	4	and	and	CCONJ
bracis-28359	116	5	maxsat	maxsat	ADJ
bracis-28359	116	6	solvers	solver	NOUN
bracis-28359	116	7	to	to	PART
bracis-28359	116	8	implement	implement	VERB
bracis-28359	116	9	the	the	DET
bracis-28359	116	10	methods	method	NOUN
bracis-28359	116	11	presented	present	VERB
bracis-28359	116	12	in	in	ADP
bracis-28359	116	13	this	this	DET
bracis-28359	116	14	work	work	NOUN
bracis-28359	116	15	.	.	PUNCT
bracis-28359	117	1	a	a	DET
bracis-28359	117	2	solver	solver	NOUN
bracis-28359	117	3	receives	receive	VERB
bracis-28359	117	4	a	a	DET
bracis-28359	117	5	formula	formula	NOUN
bracis-28359	117	6	in	in	ADP
bracis-28359	117	7	cnf	cnf	PROPN
bracis-28359	117	8	,	,	PUNCT
bracis-28359	117	9	for	for	ADP
bracis-28359	117	10	example	example	NOUN
bracis-28359	117	11	:	:	PUNCT
bracis-28359	117	12	\((p	\((p	NOUN
bracis-28359	117	13	\vee	\vee	PROPN
bracis-28359	117	14	q	q	PROPN
bracis-28359	117	15	)	)	PUNCT
bracis-28359	117	16	\wedge	\wedge	PROPN
bracis-28359	117	17	(	(	PUNCT
bracis-28359	117	18	q	q	PROPN
bracis-28359	117	19	\vee	\vee	PROPN
bracis-28359	117	20	\lnot	\lnot	INTJ
bracis-28359	117	21	p)\	p)\	NOUN
bracis-28359	117	22	)	)	PUNCT
bracis-28359	117	23	.	.	PUNCT
bracis-28359	118	1	furthermore	furthermore	ADV
bracis-28359	118	2	,	,	PUNCT
bracis-28359	118	3	a	a	DET
bracis-28359	118	4	maxsat	maxsat	ADJ
bracis-28359	118	5	solver	solver	NOUN
bracis-28359	118	6	receives	receive	VERB
bracis-28359	118	7	weights	weight	NOUN
bracis-28359	118	8	that	that	PRON
bracis-28359	118	9	will	will	AUX
bracis-28359	118	10	be	be	AUX
bracis-28359	118	11	assigned	assign	VERB
bracis-28359	118	12	to	to	ADP
bracis-28359	118	13	each	each	DET
bracis-28359	118	14	clause	clause	NOUN
bracis-28359	118	15	in	in	ADP
bracis-28359	118	16	the	the	DET
bracis-28359	118	17	formula	formula	NOUN
bracis-28359	118	18	.	.	PUNCT
bracis-28359	119	1	a	a	DET
bracis-28359	119	2	clause	clause	NOUN
bracis-28359	119	3	is	be	AUX
bracis-28359	119	4	the	the	DET
bracis-28359	119	5	disjunction	disjunction	NOUN
bracis-28359	119	6	of	of	ADP
bracis-28359	119	7	one	one	NUM
bracis-28359	119	8	or	or	CCONJ
bracis-28359	119	9	more	more	ADJ
bracis-28359	119	10	literals	literal	NOUN
bracis-28359	119	11	.	.	PUNCT
bracis-28359	120	1	the	the	DET
bracis-28359	120	2	weights	weight	NOUN
bracis-28359	120	3	are	be	AUX
bracis-28359	120	4	represented	represent	VERB
bracis-28359	120	5	by	by	ADP
bracis-28359	120	6	\(w(cl	\(w(cl	ADJ
bracis-28359	120	7	)	)	PUNCT
bracis-28359	120	8	=	=	PUNCT
bracis-28359	120	9	w\	w\	VERB
bracis-28359	120	10	)	)	PUNCT
bracis-28359	120	11	where	where	SCONJ
bracis-28359	120	12	cl	cl	NOUN
bracis-28359	120	13	is	be	AUX
bracis-28359	120	14	one	one	NUM
bracis-28359	120	15	or	or	CCONJ
bracis-28359	120	16	more	more	ADJ
bracis-28359	120	17	clauses	clause	NOUN
bracis-28359	120	18	and	and	CCONJ
bracis-28359	120	19	w	w	NOUN
bracis-28359	120	20	represents	represent	VERB
bracis-28359	120	21	the	the	DET
bracis-28359	120	22	weight	weight	NOUN
bracis-28359	120	23	assigned	assign	VERB
bracis-28359	120	24	to	to	ADP
bracis-28359	120	25	each	each	DET
bracis-28359	120	26	one	one	NUM
bracis-28359	120	27	of	of	ADP
bracis-28359	120	28	them	they	PRON
bracis-28359	120	29	.	.	PUNCT
bracis-28359	121	1	a	a	DET
bracis-28359	121	2	sat	sit	VERB
bracis-28359	121	3	solver	solver	NOUN
bracis-28359	121	4	tries	try	VERB
bracis-28359	121	5	to	to	PART
bracis-28359	121	6	assign	assign	VERB
bracis-28359	121	7	values	value	NOUN
bracis-28359	121	8	to	to	ADP
bracis-28359	121	9	the	the	DET
bracis-28359	121	10	literals	literal	NOUN
bracis-28359	121	11	in	in	ADP
bracis-28359	121	12	such	such	DET
bracis-28359	121	13	a	a	DET
bracis-28359	121	14	way	way	NOUN
bracis-28359	121	15	that	that	PRON
bracis-28359	121	16	all	all	DET
bracis-28359	121	17	clauses	clause	NOUN
bracis-28359	121	18	are	be	AUX
bracis-28359	121	19	satisfied	satisfied	ADJ
bracis-28359	121	20	.	.	PUNCT
bracis-28359	122	1	a	a	DET
bracis-28359	122	2	maxsat	maxsat	ADJ
bracis-28359	122	3	solver	solver	NOUN
bracis-28359	122	4	tries	try	VERB
bracis-28359	122	5	to	to	PART
bracis-28359	122	6	assign	assign	VERB
bracis-28359	122	7	values	value	NOUN
bracis-28359	122	8	to	to	ADP
bracis-28359	122	9	the	the	DET
bracis-28359	122	10	literals	literal	NOUN
bracis-28359	122	11	in	in	ADP
bracis-28359	122	12	a	a	DET
bracis-28359	122	13	way	way	NOUN
bracis-28359	122	14	that	that	PRON
bracis-28359	122	15	the	the	DET
bracis-28359	122	16	sum	sum	NOUN
bracis-28359	122	17	of	of	ADP
bracis-28359	122	18	the	the	DET
bracis-28359	122	19	weights	weight	NOUN
bracis-28359	122	20	of	of	ADP
bracis-28359	122	21	satisfied	satisfied	ADJ
bracis-28359	122	22	clauses	clause	NOUN
bracis-28359	122	23	is	be	AUX
bracis-28359	122	24	maximum	maximum	ADJ
bracis-28359	122	25	.	.	PUNCT
bracis-28359	123	1	clauses	clause	NOUN
bracis-28359	123	2	with	with	ADP
bracis-28359	123	3	numerical	numerical	ADJ
bracis-28359	123	4	weights	weight	NOUN
bracis-28359	123	5	are	be	AUX
bracis-28359	123	6	considered	consider	VERB
bracis-28359	123	7	soft	soft	ADJ
bracis-28359	123	8	.	.	PUNCT
bracis-28359	124	1	the	the	PRON
bracis-28359	124	2	greater	great	ADJ
bracis-28359	124	3	the	the	DET
bracis-28359	124	4	weight	weight	NOUN
bracis-28359	124	5	,	,	PUNCT
bracis-28359	124	6	the	the	PRON
bracis-28359	124	7	greater	great	ADJ
bracis-28359	124	8	the	the	DET
bracis-28359	124	9	priority	priority	NOUN
bracis-28359	124	10	of	of	ADP
bracis-28359	124	11	the	the	DET
bracis-28359	124	12	clause	clause	NOUN
bracis-28359	124	13	to	to	PART
bracis-28359	124	14	be	be	AUX
bracis-28359	124	15	satisfied	satisfied	ADJ
bracis-28359	124	16	.	.	PUNCT
bracis-28359	125	1	clauses	clause	NOUN
bracis-28359	125	2	assigned	assign	VERB
bracis-28359	125	3	a	a	DET
bracis-28359	125	4	weight	weight	NOUN
bracis-28359	125	5	of	of	ADP
bracis-28359	125	6	\(\infty	\(\infty	PROPN
bracis-28359	125	7	\	\	NOUN
bracis-28359	125	8	)	)	PUNCT
bracis-28359	125	9	are	be	AUX
bracis-28359	125	10	considered	consider	VERB
bracis-28359	125	11	hard	hard	ADJ
bracis-28359	125	12	and	and	CCONJ
bracis-28359	125	13	must	must	AUX
bracis-28359	125	14	be	be	AUX
bracis-28359	125	15	satisfied	satisfied	ADJ
bracis-28359	125	16	.	.	PUNCT
bracis-28359	126	1	3	3	NUM
bracis-28359	126	2	rule	rule	NOUN
bracis-28359	126	3	learning	learn	VERB
bracis-28359	126	4	with	with	ADP
bracis-28359	126	5	 	 	SPACE
bracis-28359	126	6	sat	sit	VERB
bracis-28359	126	7	and	and	CCONJ
bracis-28359	126	8	 	 	SPACE
bracis-28359	126	9	maxsat	maxsat	ADJ
bracis-28359	126	10	3.1	3.1	NUM
bracis-28359	126	11	sqfsat	sqfsat	NOUN
bracis-28359	126	12	sqfsat	sqfsat	NOUN
bracis-28359	126	13	is	be	AUX
bracis-28359	126	14	a	a	DET
bracis-28359	126	15	sat	sat	ADV
bracis-28359	126	16	-	-	PUNCT
bracis-28359	126	17	based	base	VERB
bracis-28359	126	18	approach	approach	NOUN
bracis-28359	126	19	that	that	SCONJ
bracis-28359	126	20	,	,	PUNCT
bracis-28359	126	21	given	give	VERB
bracis-28359	126	22	x	x	PROPN
bracis-28359	126	23	,	,	PUNCT
bracis-28359	126	24	y	y	PROPN
bracis-28359	126	25	,	,	PUNCT
bracis-28359	126	26	k	k	PROPN
bracis-28359	126	27	and	and	CCONJ
bracis-28359	126	28	the	the	DET
bracis-28359	126	29	number	number	NOUN
bracis-28359	126	30	of	of	ADP
bracis-28359	126	31	features	feature	NOUN
bracis-28359	126	32	per	per	ADP
bracis-28359	126	33	rule	rule	NOUN
bracis-28359	126	34	l	l	NOUN
bracis-28359	126	35	,	,	PUNCT
bracis-28359	126	36	tries	try	VERB
bracis-28359	126	37	to	to	PART
bracis-28359	126	38	find	find	VERB
bracis-28359	126	39	a	a	DET
bracis-28359	126	40	set	set	NOUN
bracis-28359	126	41	of	of	ADP
bracis-28359	126	42	rules	rule	NOUN
bracis-28359	126	43	\({\textbf	\({\textbf	PROPN
bracis-28359	126	44	{	{	PUNCT
bracis-28359	126	45	r}}\	r}}\	PROPN
bracis-28359	126	46	)	)	PUNCT
bracis-28359	126	47	with	with	ADP
bracis-28359	126	48	k	k	PROPN
bracis-28359	126	49	rules	rule	NOUN
bracis-28359	126	50	and	and	CCONJ
bracis-28359	126	51	at	at	ADP
bracis-28359	126	52	most	most	ADJ
bracis-28359	126	53	l	l	NOUN
bracis-28359	126	54	features	feature	NOUN
bracis-28359	126	55	per	per	ADP
bracis-28359	126	56	rule	rule	NOUN
bracis-28359	126	57	that	that	PRON
bracis-28359	126	58	correctly	correctly	ADV
bracis-28359	126	59	classify	classify	VERB
bracis-28359	126	60	all	all	DET
bracis-28359	126	61	samples	sample	NOUN
bracis-28359	126	62	\({\textbf	\({\textbf	PROPN
bracis-28359	126	63	{	{	PUNCT
bracis-28359	126	64	x}}_i\	x}}_i\	NOUN
bracis-28359	126	65	)	)	PUNCT
bracis-28359	126	66	,	,	PUNCT
bracis-28359	126	67	that	that	ADV
bracis-28359	126	68	is	is	ADV
bracis-28359	126	69	,	,	PUNCT
bracis-28359	126	70	\({\textbf	\({\textbf	PROPN
bracis-28359	126	71	{	{	PUNCT
bracis-28359	126	72	r}}({\textbf	r}}({\textbf	NOUN
bracis-28359	126	73	{	{	PUNCT
bracis-28359	126	74	x}}_i	x}}_i	PROPN
bracis-28359	126	75	)	)	PUNCT
bracis-28359	126	76	=	=	SYM
bracis-28359	126	77	y_i\	y_i\	NOUN
bracis-28359	126	78	)	)	PUNCT
bracis-28359	126	79	for	for	ADP
bracis-28359	126	80	all	all	DET
bracis-28359	126	81	i.	i.	NOUN
bracis-28359	126	82	in	in	ADP
bracis-28359	126	83	general	general	ADJ
bracis-28359	126	84	,	,	PUNCT
bracis-28359	126	85	the	the	DET
bracis-28359	126	86	approach	approach	NOUN
bracis-28359	126	87	takes	take	VERB
bracis-28359	126	88	its	its	PRON
bracis-28359	126	89	parameters	parameter	NOUN
bracis-28359	126	90	\({\textbf	\({\textbf	PROPN
bracis-28359	126	91	{	{	PUNCT
bracis-28359	126	92	x}}\	x}}\	PROPN
bracis-28359	126	93	)	)	PUNCT
bracis-28359	126	94	,	,	PUNCT
bracis-28359	126	95	\({\textbf	\({\textbf	PROPN
bracis-28359	126	96	{	{	PUNCT
bracis-28359	126	97	y}}\	y}}\	PROPN
bracis-28359	126	98	)	)	PUNCT
bracis-28359	126	99	,	,	PUNCT
bracis-28359	126	100	k	k	PROPN
bracis-28359	126	101	and	and	CCONJ
bracis-28359	126	102	l	l	NOUN
bracis-28359	126	103	and	and	CCONJ
bracis-28359	126	104	constructs	construct	VERB
bracis-28359	126	105	a	a	DET
bracis-28359	126	106	cnf	cnf	NOUN
bracis-28359	126	107	formula	formula	NOUN
bracis-28359	126	108	to	to	PART
bracis-28359	126	109	apply	apply	VERB
bracis-28359	126	110	it	it	PRON
bracis-28359	126	111	to	to	ADP
bracis-28359	126	112	a	a	DET
bracis-28359	126	113	sat	sat	NOUN
bracis-28359	126	114	solver	solver	VERB
bracis-28359	126	115	,	,	PUNCT
bracis-28359	126	116	which	which	PRON
bracis-28359	126	117	returns	return	VERB
bracis-28359	126	118	an	an	DET
bracis-28359	126	119	answer	answer	NOUN
bracis-28359	126	120	that	that	PRON
bracis-28359	126	121	is	be	AUX
bracis-28359	126	122	used	use	VERB
bracis-28359	126	123	to	to	PART
bracis-28359	126	124	get	get	VERB
bracis-28359	126	125	\({\textbf	\({\textbf	PROPN
bracis-28359	126	126	{	{	PUNCT
bracis-28359	126	127	r}}\	r}}\	PROPN
bracis-28359	126	128	)	)	PUNCT
bracis-28359	126	129	.	.	PUNCT
bracis-28359	127	1	the	the	DET
bracis-28359	127	2	construction	construction	NOUN
bracis-28359	127	3	of	of	ADP
bracis-28359	127	4	the	the	DET
bracis-28359	127	5	sat	sit	VERB
bracis-28359	127	6	clauses	clause	NOUN
bracis-28359	127	7	is	be	AUX
bracis-28359	127	8	defined	define	VERB
bracis-28359	127	9	by	by	ADP
bracis-28359	127	10	propositional	propositional	ADJ
bracis-28359	127	11	variables	variable	NOUN
bracis-28359	127	12	:	:	PUNCT
bracis-28359	127	13	\(u_{o	\(u_{o	NUM
bracis-28359	127	14	,	,	PUNCT
bracis-28359	127	15	d}^j\	d}^j\	PROPN
bracis-28359	127	16	)	)	PUNCT
bracis-28359	127	17	,	,	PUNCT
bracis-28359	127	18	\(p_{o	\(p_{o	NOUN
bracis-28359	127	19	,	,	PUNCT
bracis-28359	127	20	d}\	d}\	PROPN
bracis-28359	127	21	)	)	PUNCT
bracis-28359	127	22	,	,	PUNCT
bracis-28359	127	23	\(u_{o	\(u_{o	NOUN
bracis-28359	127	24	,	,	PUNCT
bracis-28359	127	25	d}^*\	d}^*\	NOUN
bracis-28359	127	26	)	)	PUNCT
bracis-28359	127	27	,	,	PUNCT
bracis-28359	127	28	\(e_{o	\(e_{o	X
bracis-28359	127	29	,	,	PUNCT
bracis-28359	127	30	d	d	NOUN
bracis-28359	127	31	,	,	PUNCT
bracis-28359	127	32	i}\	i}\	NUM
bracis-28359	127	33	)	)	PUNCT
bracis-28359	127	34	and	and	CCONJ
bracis-28359	127	35	\(z_{o	\(z_{o	NOUN
bracis-28359	127	36	,	,	PUNCT
bracis-28359	127	37	i}\	i}\	NUM
bracis-28359	127	38	)	)	PUNCT
bracis-28359	127	39	,	,	PUNCT
bracis-28359	127	40	for	for	ADP
bracis-28359	127	41	\(d	\(d	NOUN
bracis-28359	127	42	\in	\in	NOUN
bracis-28359	127	43	\{1,	\{1,	ADJ
bracis-28359	127	44	...	...	PUNCT
bracis-28359	127	45	,l\}\	,l\}\	PUNCT
bracis-28359	127	46	)	)	PUNCT
bracis-28359	127	47	.	.	PUNCT
bracis-28359	128	1	if	if	SCONJ
bracis-28359	128	2	the	the	DET
bracis-28359	128	3	valuation	valuation	NOUN
bracis-28359	128	4	of	of	ADP
bracis-28359	128	5	\(u_{o	\(u_{o	NOUN
bracis-28359	128	6	,	,	PUNCT
bracis-28359	128	7	d}^j\	d}^j\	PROPN
bracis-28359	128	8	)	)	PUNCT
bracis-28359	128	9	is	be	AUX
bracis-28359	128	10	true	true	ADJ
bracis-28359	128	11	,	,	PUNCT
bracis-28359	128	12	it	it	PRON
bracis-28359	128	13	means	mean	VERB
bracis-28359	128	14	that	that	SCONJ
bracis-28359	128	15	jth	jth	PROPN
bracis-28359	128	16	feature	feature	NOUN
bracis-28359	128	17	label	label	NOUN
bracis-28359	128	18	will	will	AUX
bracis-28359	128	19	be	be	AUX
bracis-28359	128	20	the	the	DET
bracis-28359	128	21	dth	dth	ADJ
bracis-28359	128	22	feature	feature	NOUN
bracis-28359	128	23	of	of	ADP
bracis-28359	128	24	the	the	DET
bracis-28359	128	25	rule	rule	NOUN
bracis-28359	128	26	\(r_o\	\(r_o\	NOUN
bracis-28359	128	27	)	)	PUNCT
bracis-28359	128	28	.	.	PUNCT
bracis-28359	129	1	furthermore	furthermore	ADV
bracis-28359	129	2	,	,	PUNCT
bracis-28359	129	3	if	if	SCONJ
bracis-28359	129	4	\(p_{o	\(p_{o	NOUN
bracis-28359	129	5	,	,	PUNCT
bracis-28359	129	6	d}\	d}\	PROPN
bracis-28359	129	7	)	)	PUNCT
bracis-28359	129	8	is	be	AUX
bracis-28359	129	9	true	true	ADJ
bracis-28359	129	10	,	,	PUNCT
bracis-28359	129	11	it	it	PRON
bracis-28359	129	12	means	mean	VERB
bracis-28359	129	13	that	that	SCONJ
bracis-28359	129	14	the	the	DET
bracis-28359	129	15	dth	dth	ADJ
bracis-28359	129	16	feature	feature	NOUN
bracis-28359	129	17	of	of	ADP
bracis-28359	129	18	the	the	DET
bracis-28359	129	19	rule	rule	NOUN
bracis-28359	129	20	\(r_o\	\(r_o\	NOUN
bracis-28359	129	21	)	)	PUNCT
bracis-28359	129	22	will	will	AUX
bracis-28359	129	23	be	be	AUX
bracis-28359	129	24	\(x^j\	\(x^j\	PROPN
bracis-28359	129	25	)	)	PUNCT
bracis-28359	129	26	,	,	PUNCT
bracis-28359	129	27	in	in	ADP
bracis-28359	129	28	other	other	ADJ
bracis-28359	129	29	words	word	NOUN
bracis-28359	129	30	,	,	PUNCT
bracis-28359	129	31	will	will	AUX
bracis-28359	129	32	be	be	AUX
bracis-28359	129	33	positive	positive	ADJ
bracis-28359	129	34	.	.	PUNCT
bracis-28359	130	1	otherwise	otherwise	ADV
bracis-28359	130	2	,	,	PUNCT
bracis-28359	130	3	it	it	PRON
bracis-28359	130	4	will	will	AUX
bracis-28359	130	5	be	be	AUX
bracis-28359	130	6	negative	negative	ADJ
bracis-28359	130	7	:	:	PUNCT
bracis-28359	130	8	\(\lnot	\(\lnot	ADV
bracis-28359	130	9	x^j\	x^j\	NUM
bracis-28359	130	10	)	)	PUNCT
bracis-28359	130	11	.	.	PUNCT
bracis-28359	131	1	if	if	SCONJ
bracis-28359	131	2	\(u_{o	\(u_{o	NUM
bracis-28359	131	3	,	,	PUNCT
bracis-28359	131	4	d}^*\	d}^*\	NOUN
bracis-28359	131	5	)	)	PUNCT
bracis-28359	131	6	is	be	AUX
bracis-28359	131	7	true	true	ADJ
bracis-28359	131	8	,	,	PUNCT
bracis-28359	131	9	it	it	PRON
bracis-28359	131	10	means	mean	VERB
bracis-28359	131	11	that	that	SCONJ
bracis-28359	131	12	the	the	DET
bracis-28359	131	13	dth	dth	ADJ
bracis-28359	131	14	feature	feature	NOUN
bracis-28359	131	15	is	be	AUX
bracis-28359	131	16	skipped	skip	VERB
bracis-28359	131	17	in	in	ADP
bracis-28359	131	18	the	the	DET
bracis-28359	131	19	rule	rule	NOUN
bracis-28359	131	20	\(r_o\	\(r_o\	NOUN
bracis-28359	131	21	)	)	PUNCT
bracis-28359	131	22	.	.	PUNCT
bracis-28359	132	1	in	in	ADP
bracis-28359	132	2	this	this	DET
bracis-28359	132	3	case	case	NOUN
bracis-28359	132	4	,	,	PUNCT
bracis-28359	132	5	we	we	PRON
bracis-28359	132	6	ignore	ignore	VERB
bracis-28359	132	7	\(p_{o	\(p_{o	NOUN
bracis-28359	132	8	,	,	PUNCT
bracis-28359	132	9	d}\	d}\	PROPN
bracis-28359	132	10	)	)	PUNCT
bracis-28359	132	11	.	.	PUNCT
bracis-28359	133	1	if	if	SCONJ
bracis-28359	133	2	\(e_{o	\(e_{o	X
bracis-28359	133	3	,	,	PUNCT
bracis-28359	133	4	d	d	NOUN
bracis-28359	133	5	,	,	PUNCT
bracis-28359	133	6	i}\	i}\	NUM
bracis-28359	133	7	)	)	PUNCT
bracis-28359	133	8	is	be	AUX
bracis-28359	133	9	true	true	ADJ
bracis-28359	133	10	,	,	PUNCT
bracis-28359	133	11	then	then	ADV
bracis-28359	133	12	the	the	DET
bracis-28359	133	13	dth	dth	ADJ
bracis-28359	133	14	feature	feature	NOUN
bracis-28359	133	15	of	of	ADP
bracis-28359	133	16	rule	rule	NOUN
bracis-28359	133	17	\(r_o\	\(r_o\	NOUN
bracis-28359	133	18	)	)	PUNCT
bracis-28359	133	19	contributes	contribute	VERB
bracis-28359	133	20	to	to	ADP
bracis-28359	133	21	the	the	DET
bracis-28359	133	22	correct	correct	ADJ
bracis-28359	133	23	classification	classification	NOUN
bracis-28359	133	24	of	of	ADP
bracis-28359	133	25	the	the	DET
bracis-28359	133	26	ith	ith	PROPN
bracis-28359	133	27	sample	sample	NOUN
bracis-28359	133	28	.	.	PUNCT
bracis-28359	134	1	if	if	SCONJ
bracis-28359	134	2	\(z_{o	\(z_{o	NOUN
bracis-28359	134	3	,	,	PUNCT
bracis-28359	134	4	i}\	i}\	NUM
bracis-28359	134	5	)	)	PUNCT
bracis-28359	134	6	is	be	AUX
bracis-28359	134	7	true	true	ADJ
bracis-28359	134	8	,	,	PUNCT
bracis-28359	134	9	then	then	ADV
bracis-28359	134	10	the	the	DET
bracis-28359	134	11	rule	rule	NOUN
bracis-28359	134	12	\(r_o\	\(r_o\	NOUN
bracis-28359	134	13	)	)	PUNCT
bracis-28359	134	14	contributes	contribute	VERB
bracis-28359	134	15	to	to	ADP
bracis-28359	134	16	the	the	DET
bracis-28359	134	17	correct	correct	ADJ
bracis-28359	134	18	classification	classification	NOUN
bracis-28359	134	19	of	of	ADP
bracis-28359	134	20	the	the	DET
bracis-28359	134	21	ith	ith	PROPN
bracis-28359	134	22	sample	sample	NOUN
bracis-28359	134	23	.	.	PUNCT
bracis-28359	135	1	that	that	PRON
bracis-28359	135	2	said	say	VERB
bracis-28359	135	3	,	,	PUNCT
bracis-28359	135	4	below	below	ADV
bracis-28359	135	5	,	,	PUNCT
bracis-28359	135	6	we	we	PRON
bracis-28359	135	7	will	will	AUX
bracis-28359	135	8	show	show	VERB
bracis-28359	135	9	the	the	DET
bracis-28359	135	10	constraints	constraint	NOUN
bracis-28359	135	11	formulated	formulate	VERB
bracis-28359	135	12	in	in	ADP
bracis-28359	135	13	the	the	DET
bracis-28359	135	14	model	model	NOUN
bracis-28359	135	15	for	for	ADP
bracis-28359	135	16	constructing	construct	VERB
bracis-28359	135	17	the	the	DET
bracis-28359	135	18	sat	sit	VERB
bracis-28359	135	19	clauses	clause	NOUN
bracis-28359	135	20	.	.	PUNCT
bracis-28359	136	1	conjunction	conjunction	NOUN
bracis-28359	136	2	of	of	ADP
bracis-28359	136	3	clauses	clause	NOUN
bracis-28359	136	4	that	that	PRON
bracis-28359	136	5	guarantees	guarantee	VERB
bracis-28359	136	6	that	that	SCONJ
bracis-28359	136	7	exactly	exactly	ADV
bracis-28359	136	8	one	one	NUM
bracis-28359	136	9	\(u_{o	\(u_{o	NOUN
bracis-28359	136	10	,	,	PUNCT
bracis-28359	136	11	d}^j\	d}^j\	PROPN
bracis-28359	136	12	)	)	PUNCT
bracis-28359	136	13	is	be	AUX
bracis-28359	136	14	true	true	ADJ
bracis-28359	136	15	for	for	ADP
bracis-28359	136	16	the	the	DET
bracis-28359	136	17	dth	dth	ADJ
bracis-28359	136	18	feature	feature	NOUN
bracis-28359	136	19	of	of	ADP
bracis-28359	136	20	the	the	DET
bracis-28359	136	21	rule	rule	NOUN
bracis-28359	136	22	\(r_o\	\(r_o\	NOUN
bracis-28359	136	23	):	):	PUNCT
bracis-28359	136	24	$	$	SYM
bracis-28359	136	25	$	$	SYM
bracis-28359	136	26	\begin{aligned	\begin{aligne	VERB
bracis-28359	136	27	}	}	PUNCT
bracis-28359	136	28	a	a	PRON
bracis-28359	136	29	=	=	PUNCT
bracis-28359	136	30	\bigwedge	\bigwedge	PART
bracis-28359	136	31	_	_	PROPN
bracis-28359	136	32	{	{	PUNCT
bracis-28359	136	33	o	o	X
bracis-28359	136	34	\in	\in	PROPN
bracis-28359	136	35	\{1,	\{1,	ADJ
bracis-28359	136	36	...	...	PUNCT
bracis-28359	136	37	,k\	,k\	PUNCT
bracis-28359	136	38	}	}	PUNCT
bracis-28359	136	39	\atop	\atop	ADP
bracis-28359	136	40	d	d	X
bracis-28359	136	41	\in	\in	PROPN
bracis-28359	136	42	\{1,	\{1,	ADJ
bracis-28359	136	43	...	...	PUNCT
bracis-28359	136	44	,l\	,l\	PUNCT
bracis-28359	136	45	}	}	PUNCT
bracis-28359	136	46	}	}	PUNCT
bracis-28359	136	47	\bigvee	\bigvee	ADP
bracis-28359	136	48	_	_	PUNCT
bracis-28359	136	49	{	{	PUNCT
bracis-28359	136	50	j	j	PROPN
bracis-28359	136	51	\in	\in	PROPN
bracis-28359	136	52	\{1,	\{1,	ADJ
bracis-28359	136	53	...	...	PUNCT
bracis-28359	136	54	,m,*\	,m,*\	PUNCT
bracis-28359	136	55	}	}	PUNCT
bracis-28359	136	56	}	}	PUNCT
bracis-28359	136	57	u_{o	u_{o	NOUN
bracis-28359	136	58	,	,	PUNCT
bracis-28359	136	59	d}^j	d}^j	PROPN
bracis-28359	136	60	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	136	61	(	(	PUNCT
bracis-28359	136	62	1	1	NUM
bracis-28359	136	63	)	)	PUNCT
bracis-28359	136	64	$	$	SYM
bracis-28359	136	65	$	$	SYM
bracis-28359	136	66	\begin{aligned	\begin{aligne	VERB
bracis-28359	136	67	}	}	PUNCT
bracis-28359	136	68	b	b	NOUN
bracis-28359	136	69	=	=	PUNCT
bracis-28359	136	70	\bigwedge	\bigwedge	VERB
bracis-28359	136	71	_	_	PROPN
bracis-28359	136	72	{	{	PUNCT
bracis-28359	136	73	o	o	X
bracis-28359	136	74	\in	\in	PROPN
bracis-28359	136	75	\{1,	\{1,	ADJ
bracis-28359	136	76	...	...	PUNCT
bracis-28359	136	77	,k\	,k\	PUNCT
bracis-28359	136	78	}	}	PUNCT
bracis-28359	136	79	\atop	\atop	ADP
bracis-28359	136	80	{	{	PUNCT
bracis-28359	136	81	d	d	X
bracis-28359	136	82	\in	\in	PROPN
bracis-28359	136	83	\{1,	\{1,	ADJ
bracis-28359	136	84	...	...	PUNCT
bracis-28359	136	85	,l\	,l\	PUNCT
bracis-28359	136	86	}	}	PUNCT
bracis-28359	136	87	\atop	\atop	ADP
bracis-28359	136	88	j	j	PROPN
bracis-28359	136	89	,	,	PUNCT
bracis-28359	136	90	j	j	PROPN
bracis-28359	136	91	'	'	PUNCT
bracis-28359	136	92	\in	\in	PROPN
bracis-28359	136	93	\{1,	\{1,	ADJ
bracis-28359	136	94	...	...	PUNCT
bracis-28359	136	95	,m,*\	,m,*\	PUNCT
bracis-28359	136	96	}	}	PUNCT
bracis-28359	136	97	,	,	PUNCT
bracis-28359	136	98	j	j	PROPN
bracis-28359	136	99	\ne	\ne	PROPN
bracis-28359	136	100	j	j	PROPN
bracis-28359	136	101	'	'	PROPN
bracis-28359	136	102	}	}	PUNCT
bracis-28359	136	103	}	}	PUNCT
bracis-28359	136	104	(	(	PUNCT
bracis-28359	136	105	\lnot	\lnot	PROPN
bracis-28359	136	106	u_{o	u_{o	PROPN
bracis-28359	136	107	,	,	PUNCT
bracis-28359	136	108	d}^j	d}^j	PROPN
bracis-28359	136	109	\vee	\vee	PROPN
bracis-28359	136	110	\lnot	\lnot	PROPN
bracis-28359	136	111	u_{o	u_{o	PROPN
bracis-28359	136	112	,	,	PUNCT
bracis-28359	136	113	d}^{j	d}^{j	PROPN
bracis-28359	136	114	'	'	NUM
bracis-28359	136	115	}	}	PUNCT
bracis-28359	136	116	)	)	PUNCT
bracis-28359	136	117	\end{aligned}$$	\end{aligned}$$	PROPN
bracis-28359	136	118	(	(	PUNCT
bracis-28359	136	119	2	2	NUM
bracis-28359	136	120	)	)	PUNCT
bracis-28359	136	121	conjunction	conjunction	NOUN
bracis-28359	136	122	of	of	ADP
bracis-28359	136	123	clauses	clause	NOUN
bracis-28359	136	124	that	that	PRON
bracis-28359	136	125	ensures	ensure	VERB
bracis-28359	136	126	that	that	SCONJ
bracis-28359	136	127	each	each	DET
bracis-28359	136	128	rule	rule	NOUN
bracis-28359	136	129	has	have	VERB
bracis-28359	136	130	at	at	ADV
bracis-28359	136	131	least	least	ADV
bracis-28359	136	132	one	one	NUM
bracis-28359	136	133	feature	feature	NOUN
bracis-28359	136	134	:	:	PUNCT
bracis-28359	136	135	$	$	SYM
bracis-28359	136	136	$	$	SYM
bracis-28359	136	137	\begin{aligned	\begin{aligne	VERB
bracis-28359	136	138	}	}	PUNCT
bracis-28359	136	139	c	c	X
bracis-28359	137	1	=	=	PUNCT
bracis-28359	137	2	\bigwedge	\bigwedge	NOUN
bracis-28359	137	3	_	_	PROPN
bracis-28359	137	4	{	{	PUNCT
bracis-28359	137	5	o	o	X
bracis-28359	137	6	\in	\in	PROPN
bracis-28359	137	7	\{1,	\{1,	ADJ
bracis-28359	137	8	...	...	PUNCT
bracis-28359	137	9	,k\	,k\	PUNCT
bracis-28359	137	10	}	}	PUNCT
bracis-28359	137	11	}	}	PUNCT
bracis-28359	137	12	\bigvee	\bigvee	ADP
bracis-28359	137	13	_	_	PUNCT
bracis-28359	137	14	{	{	PUNCT
bracis-28359	137	15	d	d	X
bracis-28359	137	16	\in	\in	PROPN
bracis-28359	137	17	\{1,	\{1,	ADJ
bracis-28359	137	18	...	...	PUNCT
bracis-28359	137	19	,l\	,l\	PUNCT
bracis-28359	137	20	}	}	PUNCT
bracis-28359	137	21	}	}	PUNCT
bracis-28359	137	22	\lnot	\lnot	PROPN
bracis-28359	137	23	u_{o	u_{o	NOUN
bracis-28359	137	24	,	,	PUNCT
bracis-28359	137	25	d}^	d}^	VERB
bracis-28359	137	26	*	*	SYM
bracis-28359	137	27	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	137	28	(	(	PUNCT
bracis-28359	137	29	3	3	NUM
bracis-28359	137	30	)	)	PUNCT
bracis-28359	137	31	we	we	PRON
bracis-28359	137	32	will	will	AUX
bracis-28359	137	33	use	use	VERB
bracis-28359	137	34	the	the	DET
bracis-28359	137	35	symbol	symbol	NOUN
bracis-28359	137	36	\(s_{o	\(s_{o	NOUN
bracis-28359	137	37	,	,	PUNCT
bracis-28359	137	38	d	d	NOUN
bracis-28359	137	39	,	,	PUNCT
bracis-28359	137	40	i}^j\	i}^j\	PRON
bracis-28359	137	41	)	)	PUNCT
bracis-28359	137	42	to	to	PART
bracis-28359	137	43	represent	represent	VERB
bracis-28359	137	44	the	the	DET
bracis-28359	137	45	value	value	NOUN
bracis-28359	137	46	of	of	ADP
bracis-28359	137	47	the	the	DET
bracis-28359	137	48	ith	ith	PROPN
bracis-28359	137	49	sample	sample	NOUN
bracis-28359	137	50	in	in	ADP
bracis-28359	137	51	the	the	DET
bracis-28359	137	52	jth	jth	PROPN
bracis-28359	137	53	feature	feature	NOUN
bracis-28359	137	54	label	label	NOUN
bracis-28359	137	55	of	of	ADP
bracis-28359	137	56	\({\textbf	\({\textbf	PROPN
bracis-28359	137	57	{	{	PUNCT
bracis-28359	137	58	x}}\	x}}\	NOUN
bracis-28359	137	59	)	)	PUNCT
bracis-28359	137	60	.	.	PUNCT
bracis-28359	138	1	if	if	SCONJ
bracis-28359	138	2	this	this	DET
bracis-28359	138	3	value	value	NOUN
bracis-28359	138	4	is	be	AUX
bracis-28359	138	5	1	1	NUM
bracis-28359	138	6	,	,	PUNCT
bracis-28359	138	7	it	it	PRON
bracis-28359	138	8	means	mean	VERB
bracis-28359	138	9	that	that	SCONJ
bracis-28359	138	10	if	if	SCONJ
bracis-28359	138	11	the	the	DET
bracis-28359	138	12	jth	jth	PROPN
bracis-28359	138	13	feature	feature	NOUN
bracis-28359	138	14	label	label	NOUN
bracis-28359	138	15	is	be	AUX
bracis-28359	138	16	in	in	ADP
bracis-28359	138	17	the	the	DET
bracis-28359	138	18	dth	dth	ADJ
bracis-28359	138	19	position	position	NOUN
bracis-28359	138	20	of	of	ADP
bracis-28359	138	21	the	the	DET
bracis-28359	138	22	rule	rule	NOUN
bracis-28359	138	23	\(r_o\	\(r_o\	NOUN
bracis-28359	138	24	)	)	PUNCT
bracis-28359	138	25	,	,	PUNCT
bracis-28359	138	26	then	then	ADV
bracis-28359	138	27	it	it	PRON
bracis-28359	138	28	contributes	contribute	VERB
bracis-28359	138	29	to	to	ADP
bracis-28359	138	30	the	the	DET
bracis-28359	138	31	correct	correct	ADJ
bracis-28359	138	32	classification	classification	NOUN
bracis-28359	138	33	of	of	ADP
bracis-28359	138	34	the	the	DET
bracis-28359	138	35	ith	ith	PROPN
bracis-28359	138	36	sample	sample	NOUN
bracis-28359	138	37	.	.	PUNCT
bracis-28359	139	1	therefore	therefore	ADV
bracis-28359	139	2	,	,	PUNCT
bracis-28359	139	3	\(s_{o	\(s_{o	NOUN
bracis-28359	139	4	,	,	PUNCT
bracis-28359	139	5	d	d	PROPN
bracis-28359	139	6	,	,	PUNCT
bracis-28359	139	7	i}^j	i}^j	PROPN
bracis-28359	139	8	=	=	PUNCT
bracis-28359	139	9	e_{o	e_{o	NOUN
bracis-28359	139	10	,	,	PUNCT
bracis-28359	139	11	d	d	NOUN
bracis-28359	139	12	,	,	PUNCT
bracis-28359	139	13	i}\	i}\	NUM
bracis-28359	139	14	)	)	PUNCT
bracis-28359	139	15	.	.	PUNCT
bracis-28359	140	1	otherwise	otherwise	ADV
bracis-28359	140	2	,	,	PUNCT
bracis-28359	140	3	\(s_{o	\(s_{o	NOUN
bracis-28359	140	4	,	,	PUNCT
bracis-28359	140	5	d	d	PROPN
bracis-28359	140	6	,	,	PUNCT
bracis-28359	140	7	i}^j	i}^j	PROPN
bracis-28359	140	8	=	=	SYM
bracis-28359	140	9	\lnot	\lnot	PROPN
bracis-28359	140	10	e_{o	e_{o	NOUN
bracis-28359	140	11	,	,	PUNCT
bracis-28359	140	12	d	d	NOUN
bracis-28359	140	13	,	,	PUNCT
bracis-28359	140	14	i}\	i}\	NUM
bracis-28359	140	15	)	)	PUNCT
bracis-28359	140	16	.	.	PUNCT
bracis-28359	141	1	that	that	PRON
bracis-28359	141	2	said	say	VERB
bracis-28359	141	3	,	,	PUNCT
bracis-28359	141	4	the	the	DET
bracis-28359	141	5	following	follow	VERB
bracis-28359	141	6	conjunction	conjunction	NOUN
bracis-28359	141	7	of	of	ADP
bracis-28359	141	8	formulas	formula	NOUN
bracis-28359	141	9	guarantees	guarantee	VERB
bracis-28359	141	10	that	that	SCONJ
bracis-28359	141	11	\(e_{o	\(e_{o	NOUN
bracis-28359	141	12	,	,	PUNCT
bracis-28359	141	13	d	d	NOUN
bracis-28359	141	14	,	,	PUNCT
bracis-28359	141	15	i}\	i}\	NUM
bracis-28359	141	16	)	)	PUNCT
bracis-28359	141	17	is	be	AUX
bracis-28359	141	18	true	true	ADJ
bracis-28359	141	19	if	if	SCONJ
bracis-28359	141	20	the	the	DET
bracis-28359	141	21	jth	jth	PROPN
bracis-28359	141	22	feature	feature	NOUN
bracis-28359	141	23	in	in	ADP
bracis-28359	141	24	the	the	DET
bracis-28359	141	25	oth	oth	PROPN
bracis-28359	141	26	rule	rule	NOUN
bracis-28359	141	27	contributes	contribute	VERB
bracis-28359	141	28	to	to	ADP
bracis-28359	141	29	the	the	DET
bracis-28359	141	30	correct	correct	ADJ
bracis-28359	141	31	classification	classification	NOUN
bracis-28359	141	32	of	of	ADP
bracis-28359	141	33	the	the	DET
bracis-28359	141	34	sample	sample	NOUN
bracis-28359	141	35	\({\textbf	\({\textbf	PROPN
bracis-28359	141	36	{	{	PUNCT
bracis-28359	141	37	x}}_i\	x}}_i\	PROPN
bracis-28359	141	38	):	):	PUNCT
bracis-28359	141	39	$	$	SYM
bracis-28359	141	40	$	$	SYM
bracis-28359	141	41	\begin{aligned	\begin{aligne	VERB
bracis-28359	141	42	}	}	PUNCT
bracis-28359	141	43	d	d	NOUN
bracis-28359	141	44	=	=	PUNCT
bracis-28359	141	45	\bigwedge	\bigwedge	NOUN
bracis-28359	141	46	_	_	PROPN
bracis-28359	141	47	{	{	PUNCT
bracis-28359	141	48	o	o	X
bracis-28359	141	49	\in	\in	PROPN
bracis-28359	141	50	\{1,	\{1,	ADJ
bracis-28359	141	51	...	...	PUNCT
bracis-28359	141	52	,k\	,k\	PUNCT
bracis-28359	141	53	}	}	PUNCT
bracis-28359	141	54	\atop	\atop	ADP
bracis-28359	141	55	{	{	PUNCT
bracis-28359	141	56	d	d	X
bracis-28359	141	57	\in	\in	PROPN
bracis-28359	141	58	\{1,	\{1,	ADJ
bracis-28359	141	59	...	...	PUNCT
bracis-28359	141	60	,l\	,l\	PUNCT
bracis-28359	141	61	}	}	PUNCT
bracis-28359	141	62	\atop	\atop	ADP
bracis-28359	141	63	{	{	PUNCT
bracis-28359	141	64	j	j	PROPN
bracis-28359	141	65	\in	\in	PROPN
bracis-28359	141	66	\{1,	\{1,	ADV
bracis-28359	141	67	...	...	PUNCT
bracis-28359	141	68	,m\	,m\	PUNCT
bracis-28359	141	69	}	}	PUNCT
bracis-28359	141	70	\atop	\atop	ADP
bracis-28359	141	71	i	i	PRON
bracis-28359	141	72	\in	\in	VERB
bracis-28359	141	73	\{1,	\{1,	ADV
bracis-28359	141	74	...	...	PUNCT
bracis-28359	141	75	,n\	,n\	PUNCT
bracis-28359	141	76	}	}	PUNCT
bracis-28359	141	77	}	}	PUNCT
bracis-28359	141	78	}	}	PUNCT
bracis-28359	141	79	}	}	PUNCT
bracis-28359	141	80	u_{o	u_{o	NOUN
bracis-28359	141	81	,	,	PUNCT
bracis-28359	141	82	d}^j	d}^j	PROPN
bracis-28359	141	83	\rightarrow	\rightarrow	PROPN
bracis-28359	141	84	(	(	PUNCT
bracis-28359	141	85	p_{o	p_{o	ADV
bracis-28359	141	86	,	,	PUNCT
bracis-28359	141	87	d	d	NOUN
bracis-28359	141	88	}	}	PUNCT
bracis-28359	141	89	\leftrightarrow	\leftrightarrow	PROPN
bracis-28359	141	90	s_{o	s_{o	PROPN
bracis-28359	141	91	,	,	PUNCT
bracis-28359	141	92	d	d	PROPN
bracis-28359	141	93	,	,	PUNCT
bracis-28359	141	94	i}^j	i}^j	PROPN
bracis-28359	141	95	)	)	PUNCT
bracis-28359	141	96	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	142	1	(	(	PUNCT
bracis-28359	142	2	4	4	NUM
bracis-28359	142	3	)	)	PUNCT
bracis-28359	142	4	conjunction	conjunction	NOUN
bracis-28359	142	5	of	of	ADP
bracis-28359	142	6	formulas	formula	NOUN
bracis-28359	142	7	guaranteeing	guarantee	VERB
bracis-28359	142	8	that	that	SCONJ
bracis-28359	142	9	if	if	SCONJ
bracis-28359	142	10	the	the	DET
bracis-28359	142	11	dth	dth	ADJ
bracis-28359	142	12	feature	feature	NOUN
bracis-28359	142	13	of	of	ADP
bracis-28359	142	14	a	a	DET
bracis-28359	142	15	rule	rule	NOUN
bracis-28359	142	16	is	be	AUX
bracis-28359	142	17	skipped	skip	VERB
bracis-28359	142	18	,	,	PUNCT
bracis-28359	142	19	then	then	ADV
bracis-28359	142	20	the	the	DET
bracis-28359	142	21	classification	classification	NOUN
bracis-28359	142	22	of	of	ADP
bracis-28359	142	23	this	this	DET
bracis-28359	142	24	rule	rule	NOUN
bracis-28359	142	25	is	be	AUX
bracis-28359	142	26	not	not	PART
bracis-28359	142	27	interfered	interfere	VERB
bracis-28359	142	28	by	by	ADP
bracis-28359	142	29	this	this	DET
bracis-28359	142	30	feature	feature	NOUN
bracis-28359	142	31	:	:	PUNCT
bracis-28359	142	32	$	$	SYM
bracis-28359	142	33	$	$	SYM
bracis-28359	142	34	\begin{aligned	\begin{aligne	VERB
bracis-28359	142	35	}	}	PUNCT
bracis-28359	142	36	e	e	X
bracis-28359	142	37	=	=	PUNCT
bracis-28359	142	38	\bigwedge	\bigwedge	VERB
bracis-28359	142	39	_	_	PROPN
bracis-28359	142	40	{	{	PUNCT
bracis-28359	142	41	o	o	X
bracis-28359	142	42	\in	\in	PROPN
bracis-28359	142	43	\{1,	\{1,	ADJ
bracis-28359	142	44	...	...	PUNCT
bracis-28359	142	45	,k\	,k\	PUNCT
bracis-28359	142	46	}	}	PUNCT
bracis-28359	142	47	\atop	\atop	ADP
bracis-28359	142	48	{	{	PUNCT
bracis-28359	142	49	d	d	X
bracis-28359	142	50	\in	\in	PROPN
bracis-28359	142	51	\{1,	\{1,	ADJ
bracis-28359	142	52	...	...	PUNCT
bracis-28359	142	53	,l\	,l\	PUNCT
bracis-28359	142	54	}	}	PUNCT
bracis-28359	142	55	\atop	\atop	ADP
bracis-28359	142	56	i	i	PRON
bracis-28359	142	57	\in	\in	VERB
bracis-28359	142	58	\{1,	\{1,	ADV
bracis-28359	142	59	...	...	PUNCT
bracis-28359	142	60	,n\	,n\	PUNCT
bracis-28359	142	61	}	}	PUNCT
bracis-28359	142	62	}	}	PUNCT
bracis-28359	142	63	}	}	PUNCT
bracis-28359	142	64	u_{o	u_{o	NOUN
bracis-28359	142	65	,	,	PUNCT
bracis-28359	142	66	d}^	d}^	VERB
bracis-28359	142	67	*	*	PUNCT
bracis-28359	142	68	\rightarrow	\rightarrow	PROPN
bracis-28359	142	69	e_{o	e_{o	PROPN
bracis-28359	142	70	,	,	PUNCT
bracis-28359	142	71	d	d	PROPN
bracis-28359	142	72	,	,	PUNCT
bracis-28359	142	73	i	i	PRON
bracis-28359	142	74	}	}	PUNCT
bracis-28359	142	75	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	142	76	(	(	PUNCT
bracis-28359	142	77	5	5	NUM
bracis-28359	142	78	)	)	PUNCT
bracis-28359	142	79	conjunction	conjunction	NOUN
bracis-28359	142	80	of	of	ADP
bracis-28359	142	81	formulas	formula	NOUN
bracis-28359	142	82	indicating	indicate	VERB
bracis-28359	142	83	that	that	SCONJ
bracis-28359	142	84	\(z_{o	\(z_{o	NOUN
bracis-28359	142	85	,	,	PUNCT
bracis-28359	142	86	i}\	i}\	NUM
bracis-28359	142	87	)	)	PUNCT
bracis-28359	142	88	will	will	AUX
bracis-28359	142	89	be	be	AUX
bracis-28359	142	90	set	set	VERB
bracis-28359	142	91	to	to	ADP
bracis-28359	142	92	true	true	ADJ
bracis-28359	142	93	if	if	SCONJ
bracis-28359	142	94	all	all	DET
bracis-28359	142	95	the	the	DET
bracis-28359	142	96	features	feature	NOUN
bracis-28359	142	97	of	of	ADP
bracis-28359	142	98	rule	rule	NOUN
bracis-28359	142	99	\(r_o\	\(r_o\	NOUN
bracis-28359	142	100	)	)	PUNCT
bracis-28359	142	101	contribute	contribute	VERB
bracis-28359	142	102	to	to	ADP
bracis-28359	142	103	the	the	DET
bracis-28359	142	104	correct	correct	ADJ
bracis-28359	142	105	classification	classification	NOUN
bracis-28359	142	106	of	of	ADP
bracis-28359	142	107	sample	sample	NOUN
bracis-28359	142	108	\({\textbf	\({\textbf	PROPN
bracis-28359	142	109	{	{	PUNCT
bracis-28359	142	110	x}}_i\	x}}_i\	PROPN
bracis-28359	142	111	):	):	PUNCT
bracis-28359	142	112	$	$	SYM
bracis-28359	142	113	$	$	SYM
bracis-28359	142	114	\begin{aligned	\begin{aligne	VERB
bracis-28359	142	115	}	}	PUNCT
bracis-28359	142	116	f	f	NOUN
bracis-28359	143	1	=	=	PUNCT
bracis-28359	143	2	\bigwedge	\bigwedge	PROPN
bracis-28359	143	3	_	_	PROPN
bracis-28359	143	4	{	{	PUNCT
bracis-28359	143	5	o	o	X
bracis-28359	143	6	\in	\in	PROPN
bracis-28359	143	7	\{1,	\{1,	ADJ
bracis-28359	143	8	...	...	PUNCT
bracis-28359	143	9	,k\	,k\	PUNCT
bracis-28359	143	10	}	}	PUNCT
bracis-28359	143	11	}	}	PUNCT
bracis-28359	143	12	\bigwedge	\bigwedge	VERB
bracis-28359	143	13	_	_	NOUN
bracis-28359	143	14	{	{	PUNCT
bracis-28359	143	15	i	i	PROPN
bracis-28359	143	16	\in	\in	VERB
bracis-28359	143	17	\{1,	\{1,	ADV
bracis-28359	143	18	...	...	PUNCT
bracis-28359	143	19	,n\	,n\	PUNCT
bracis-28359	143	20	}	}	PUNCT
bracis-28359	143	21	}	}	PUNCT
bracis-28359	143	22	z_{o	z_{o	PROPN
bracis-28359	143	23	,	,	PUNCT
bracis-28359	143	24	i	i	PRON
bracis-28359	143	25	}	}	PUNCT
bracis-28359	143	26	\leftrightarrow	\leftrightarrow	PROPN
bracis-28359	143	27	\bigwedge	\bigwedge	NOUN
bracis-28359	143	28	_	_	PUNCT
bracis-28359	143	29	{	{	PUNCT
bracis-28359	143	30	d	d	X
bracis-28359	143	31	\in	\in	PROPN
bracis-28359	143	32	\{1,	\{1,	ADJ
bracis-28359	143	33	...	...	PUNCT
bracis-28359	143	34	,l\	,l\	PUNCT
bracis-28359	143	35	}	}	PUNCT
bracis-28359	143	36	}	}	PUNCT
bracis-28359	143	37	e_{o	e_{o	NOUN
bracis-28359	143	38	,	,	PUNCT
bracis-28359	143	39	d	d	NOUN
bracis-28359	143	40	,	,	PUNCT
bracis-28359	143	41	i	i	PRON
bracis-28359	143	42	}	}	PUNCT
bracis-28359	143	43	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	143	44	(	(	PUNCT
bracis-28359	143	45	6	6	NUM
bracis-28359	143	46	)	)	PUNCT
bracis-28359	143	47	conjunction	conjunction	NOUN
bracis-28359	143	48	of	of	ADP
bracis-28359	143	49	clauses	clause	NOUN
bracis-28359	143	50	that	that	PRON
bracis-28359	143	51	guarantees	guarantee	VERB
bracis-28359	143	52	that	that	SCONJ
bracis-28359	143	53	\({\textbf	\({\textbf	PROPN
bracis-28359	143	54	{	{	PUNCT
bracis-28359	143	55	r}}\	r}}\	PROPN
bracis-28359	143	56	)	)	PUNCT
bracis-28359	143	57	will	will	AUX
bracis-28359	143	58	correctly	correctly	ADV
bracis-28359	143	59	classify	classify	VERB
bracis-28359	143	60	all	all	DET
bracis-28359	143	61	samples	sample	NOUN
bracis-28359	143	62	:	:	PUNCT
bracis-28359	143	63	$	$	SYM
bracis-28359	143	64	$	$	SYM
bracis-28359	143	65	\begin{aligned	\begin{aligne	VERB
bracis-28359	143	66	}	}	PUNCT
bracis-28359	143	67	g	g	NOUN
bracis-28359	143	68	=	=	PUNCT
bracis-28359	143	69	\bigwedge	\bigwedge	PROPN
bracis-28359	143	70	_	_	PROPN
bracis-28359	143	71	{	{	PUNCT
bracis-28359	143	72	i	i	PROPN
bracis-28359	143	73	\in	\in	PROPN
bracis-28359	143	74	\mathcal	\mathcal	PROPN
bracis-28359	143	75	{	{	PUNCT
bracis-28359	143	76	e}^+	e}^+	NOUN
bracis-28359	143	77	}	}	PUNCT
bracis-28359	143	78	\bigvee	\bigvee	ADP
bracis-28359	143	79	_	_	PUNCT
bracis-28359	143	80	{	{	PUNCT
bracis-28359	143	81	o	o	X
bracis-28359	143	82	\in	\in	PROPN
bracis-28359	143	83	\{1,	\{1,	ADJ
bracis-28359	143	84	...	...	PUNCT
bracis-28359	143	85	,k\	,k\	PUNCT
bracis-28359	143	86	}	}	PUNCT
bracis-28359	143	87	}	}	PUNCT
bracis-28359	143	88	z_{o	z_{o	PROPN
bracis-28359	143	89	,	,	PUNCT
bracis-28359	143	90	i	i	PRON
bracis-28359	143	91	}	}	PUNCT
bracis-28359	143	92	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	143	93	(	(	PUNCT
bracis-28359	143	94	7	7	NUM
bracis-28359	143	95	)	)	PUNCT
bracis-28359	143	96	$	$	SYM
bracis-28359	143	97	$	$	SYM
bracis-28359	143	98	\begin{aligned	\begin{aligne	VERB
bracis-28359	143	99	}	}	PUNCT
bracis-28359	143	100	h	h	NOUN
bracis-28359	143	101	=	=	PUNCT
bracis-28359	143	102	\bigwedge	\bigwedge	PROPN
bracis-28359	143	103	_	_	PROPN
bracis-28359	143	104	{	{	PUNCT
bracis-28359	143	105	i	i	PROPN
bracis-28359	143	106	\in	\in	PROPN
bracis-28359	143	107	\mathcal	\mathcal	PROPN
bracis-28359	143	108	{	{	PUNCT
bracis-28359	143	109	e}^-	e}^-	NOUN
bracis-28359	143	110	}	}	PUNCT
bracis-28359	143	111	\bigwedge	\bigwedge	VERB
bracis-28359	143	112	_	_	PROPN
bracis-28359	143	113	{	{	PUNCT
bracis-28359	143	114	o	o	X
bracis-28359	143	115	\in	\in	PROPN
bracis-28359	143	116	\{1,	\{1,	ADJ
bracis-28359	143	117	...	...	PUNCT
bracis-28359	143	118	,k\	,k\	PUNCT
bracis-28359	143	119	}	}	PUNCT
bracis-28359	143	120	}	}	PUNCT
bracis-28359	143	121	\lnot	\lnot	PROPN
bracis-28359	143	122	z_{o	z_{o	PROPN
bracis-28359	143	123	,	,	PUNCT
bracis-28359	143	124	i	i	PRON
bracis-28359	143	125	}	}	PUNCT
bracis-28359	143	126	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	143	127	(	(	PUNCT
bracis-28359	143	128	8)	8)	NUM
bracis-28359	143	129	next	next	ADV
bracis-28359	143	130	,	,	PUNCT
bracis-28359	143	131	the	the	DET
bracis-28359	143	132	formula	formula	NOUN
bracis-28359	143	133	q	q	PUNCT
bracis-28359	143	134	below	below	ADV
bracis-28359	143	135	is	be	AUX
bracis-28359	143	136	converted	convert	VERB
bracis-28359	143	137	to	to	ADP
bracis-28359	143	138	cnf	cnf	PROPN
bracis-28359	143	139	.	.	PUNCT
bracis-28359	144	1	then	then	ADV
bracis-28359	144	2	,	,	PUNCT
bracis-28359	144	3	finally	finally	ADV
bracis-28359	144	4	,	,	PUNCT
bracis-28359	144	5	we	we	PRON
bracis-28359	144	6	have	have	VERB
bracis-28359	144	7	the	the	DET
bracis-28359	144	8	sat	sit	VERB
bracis-28359	144	9	query	query	NOUN
bracis-28359	144	10	that	that	PRON
bracis-28359	144	11	is	be	AUX
bracis-28359	144	12	sent	send	VERB
bracis-28359	144	13	to	to	ADP
bracis-28359	144	14	the	the	DET
bracis-28359	144	15	solver	solver	NOUN
bracis-28359	144	16	.	.	PUNCT
bracis-28359	145	1	$	$	SYM
bracis-28359	145	2	$	$	SYM
bracis-28359	145	3	\begin{aligned	\begin{aligne	VERB
bracis-28359	145	4	}	}	PUNCT
bracis-28359	145	5	q	q	NOUN
bracis-28359	146	1	=	=	PUNCT
bracis-28359	146	2	a	a	DET
bracis-28359	146	3	\wedge	\wedge	PROPN
bracis-28359	146	4	b	b	PROPN
bracis-28359	146	5	\wedge	\wedge	PROPN
bracis-28359	146	6	c	c	PROPN
bracis-28359	146	7	\wedge	\wedge	PROPN
bracis-28359	146	8	d	d	PROPN
bracis-28359	146	9	\wedge	\wedge	PROPN
bracis-28359	146	10	e	e	PROPN
bracis-28359	146	11	\wedge	\wedge	PROPN
bracis-28359	146	12	f	f	PROPN
bracis-28359	146	13	\wedge	\wedge	PROPN
bracis-28359	146	14	g	g	PROPN
bracis-28359	146	15	\wedge	\wedge	PROPN
bracis-28359	146	16	h	h	PROPN
bracis-28359	146	17	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	146	18	(	(	PUNCT
bracis-28359	146	19	9	9	NUM
bracis-28359	146	20	)	)	PUNCT
bracis-28359	146	21	3.2	3.2	NUM
bracis-28359	146	22	imli	imli	ADV
bracis-28359	146	23	imli	imli	ADV
bracis-28359	146	24	is	be	AUX
bracis-28359	146	25	an	an	DET
bracis-28359	146	26	incremental	incremental	ADJ
bracis-28359	146	27	approach	approach	NOUN
bracis-28359	146	28	based	base	VERB
bracis-28359	146	29	on	on	ADP
bracis-28359	146	30	maxsat	maxsat	NOUN
bracis-28359	146	31	for	for	ADP
bracis-28359	146	32	learning	learn	VERB
bracis-28359	146	33	interpretable	interpretable	ADJ
bracis-28359	146	34	rules	rule	NOUN
bracis-28359	146	35	.	.	PUNCT
bracis-28359	147	1	given	give	VERB
bracis-28359	147	2	\({\textbf	\({\textbf	PROPN
bracis-28359	147	3	{	{	PUNCT
bracis-28359	147	4	x}}\	x}}\	PROPN
bracis-28359	147	5	)	)	PUNCT
bracis-28359	147	6	,	,	PUNCT
bracis-28359	147	7	\({\textbf	\({\textbf	PROPN
bracis-28359	147	8	{	{	PUNCT
bracis-28359	147	9	y}}\	y}}\	PROPN
bracis-28359	147	10	)	)	PUNCT
bracis-28359	147	11	,	,	PUNCT
bracis-28359	147	12	k	k	NOUN
bracis-28359	147	13	,	,	PUNCT
bracis-28359	147	14	and	and	CCONJ
bracis-28359	147	15	a	a	DET
bracis-28359	147	16	weight	weight	NOUN
bracis-28359	147	17	\(\lambda	\(\lambda	NOUN
bracis-28359	147	18	\	\	NOUN
bracis-28359	147	19	)	)	PUNCT
bracis-28359	147	20	,	,	PUNCT
bracis-28359	147	21	the	the	DET
bracis-28359	147	22	model	model	NOUN
bracis-28359	147	23	aims	aim	VERB
bracis-28359	147	24	to	to	PART
bracis-28359	147	25	obtain	obtain	VERB
bracis-28359	147	26	the	the	DET
bracis-28359	147	27	smallest	small	ADJ
bracis-28359	147	28	set	set	NOUN
bracis-28359	147	29	of	of	ADP
bracis-28359	147	30	rules	rule	NOUN
bracis-28359	147	31	\({\textbf	\({\textbf	PROPN
bracis-28359	147	32	{	{	PUNCT
bracis-28359	147	33	m}}\	m}}\	PROPN
bracis-28359	147	34	)	)	PUNCT
bracis-28359	147	35	in	in	ADP
bracis-28359	147	36	cnf	cnf	PROPN
bracis-28359	147	37	that	that	PRON
bracis-28359	147	38	correctly	correctly	ADV
bracis-28359	147	39	classifies	classify	VERB
bracis-28359	147	40	as	as	ADV
bracis-28359	147	41	many	many	ADJ
bracis-28359	147	42	samples	sample	NOUN
bracis-28359	147	43	as	as	ADP
bracis-28359	147	44	possible	possible	ADJ
bracis-28359	147	45	,	,	PUNCT
bracis-28359	147	46	penalizing	penalize	VERB
bracis-28359	147	47	classification	classification	NOUN
bracis-28359	147	48	errors	error	NOUN
bracis-28359	147	49	with	with	ADP
bracis-28359	147	50	\(\lambda	\(\lambda	NOUN
bracis-28359	147	51	\	\	NOUN
bracis-28359	147	52	)	)	PUNCT
bracis-28359	147	53	.	.	PUNCT
bracis-28359	148	1	in	in	ADP
bracis-28359	148	2	general	general	ADJ
bracis-28359	148	3	,	,	PUNCT
bracis-28359	148	4	the	the	DET
bracis-28359	148	5	method	method	NOUN
bracis-28359	148	6	solves	solve	VERB
bracis-28359	148	7	the	the	DET
bracis-28359	148	8	optimization	optimization	NOUN
bracis-28359	148	9	problem	problem	NOUN
bracis-28359	148	10	\(\min	\(\min	PUNCT
bracis-28359	149	1	_	_	PRON
bracis-28359	149	2	{	{	PUNCT
bracis-28359	149	3	{	{	PUNCT
bracis-28359	149	4	\textbf	\textbf	PROPN
bracis-28359	149	5	{	{	PUNCT
bracis-28359	149	6	m	m	NOUN
bracis-28359	149	7	}	}	PUNCT
bracis-28359	149	8	}	}	PUNCT
bracis-28359	149	9	}	}	PUNCT
bracis-28359	149	10	\{|{\textbf	\{|{\textbf	NOUN
bracis-28359	149	11	{	{	PUNCT
bracis-28359	149	12	m}}|	m}}|	NOUN
bracis-28359	149	13	+	+	CCONJ
bracis-28359	149	14	\lambda	\lambda	PROPN
bracis-28359	149	15	|\mathcal	|\mathcal	NOUN
bracis-28359	149	16	{	{	PUNCT
bracis-28359	149	17	e}_m|	e}_m|	NUM
bracis-28359	149	18	\mid	\mid	ADP
bracis-28359	149	19	\mathcal	\mathcal	PROPN
bracis-28359	149	20	{	{	PUNCT
bracis-28359	149	21	e}_m	e}_m	X
bracis-28359	149	22	=	=	SYM
bracis-28359	149	23	\{{\textbf	\{{\textbf	NOUN
bracis-28359	149	24	{	{	PUNCT
bracis-28359	149	25	x}}_i	x}}_i	PROPN
bracis-28359	149	26	\mid	\mid	ADP
bracis-28359	149	27	{	{	PUNCT
bracis-28359	149	28	\textbf	\textbf	PROPN
bracis-28359	149	29	{	{	PUNCT
bracis-28359	149	30	m}}({\textbf	m}}({\textbf	PROPN
bracis-28359	149	31	{	{	PUNCT
bracis-28359	149	32	x}}_i	x}}_i	PROPN
bracis-28359	149	33	)	)	PUNCT
bracis-28359	149	34	\ne	\ne	PROPN
bracis-28359	149	35	y_i\}\}\	y_i\}\}\	NOUN
bracis-28359	149	36	)	)	PUNCT
bracis-28359	149	37	,	,	PUNCT
bracis-28359	149	38	where	where	SCONJ
bracis-28359	149	39	\(|{\textbf	\(|{\textbf	PROPN
bracis-28359	149	40	{	{	PUNCT
bracis-28359	149	41	m}}|\	m}}|\	ADJ
bracis-28359	149	42	)	)	PUNCT
bracis-28359	149	43	represents	represent	VERB
bracis-28359	149	44	the	the	DET
bracis-28359	149	45	number	number	NOUN
bracis-28359	149	46	of	of	ADP
bracis-28359	149	47	features	feature	NOUN
bracis-28359	149	48	in	in	ADP
bracis-28359	149	49	\({\textbf	\({\textbf	PROPN
bracis-28359	149	50	{	{	PUNCT
bracis-28359	149	51	m}}\	m}}\	PROPN
bracis-28359	149	52	)	)	PUNCT
bracis-28359	149	53	and	and	CCONJ
bracis-28359	149	54	\({\textbf	\({\textbf	PROPN
bracis-28359	149	55	{	{	PUNCT
bracis-28359	149	56	m}}({\textbf	m}}({\textbf	NOUN
bracis-28359	149	57	{	{	PUNCT
bracis-28359	149	58	x}}_i)\	x}}_i)\	NOUN
bracis-28359	149	59	)	)	PUNCT
bracis-28359	149	60	denotes	denote	VERB
bracis-28359	149	61	the	the	DET
bracis-28359	149	62	application	application	NOUN
bracis-28359	149	63	of	of	ADP
bracis-28359	149	64	the	the	DET
bracis-28359	149	65	set	set	NOUN
bracis-28359	149	66	of	of	ADP
bracis-28359	149	67	rules	rule	NOUN
bracis-28359	149	68	\({\textbf	\({\textbf	PROPN
bracis-28359	149	69	{	{	PUNCT
bracis-28359	149	70	m}}\	m}}\	PROPN
bracis-28359	149	71	)	)	PUNCT
bracis-28359	149	72	to	to	ADP
bracis-28359	149	73	\({\textbf	\({\textbf	PROPN
bracis-28359	149	74	{	{	PUNCT
bracis-28359	149	75	x}}_i\	x}}_i\	NOUN
bracis-28359	149	76	)	)	PUNCT
bracis-28359	149	77	.	.	PUNCT
bracis-28359	150	1	therefore	therefore	ADV
bracis-28359	150	2	,	,	PUNCT
bracis-28359	150	3	the	the	DET
bracis-28359	150	4	approach	approach	NOUN
bracis-28359	150	5	takes	take	VERB
bracis-28359	150	6	its	its	PRON
bracis-28359	150	7	parameters	parameter	NOUN
bracis-28359	150	8	\({\textbf	\({\textbf	PROPN
bracis-28359	150	9	{	{	PUNCT
bracis-28359	150	10	x}}\	x}}\	PROPN
bracis-28359	150	11	)	)	PUNCT
bracis-28359	150	12	,	,	PUNCT
bracis-28359	150	13	\({\textbf	\({\textbf	PROPN
bracis-28359	150	14	{	{	PUNCT
bracis-28359	150	15	y}}\	y}}\	PROPN
bracis-28359	150	16	)	)	PUNCT
bracis-28359	150	17	,	,	PUNCT
bracis-28359	150	18	k	k	PROPN
bracis-28359	150	19	and	and	CCONJ
bracis-28359	150	20	\(\lambda	\(\lambda	PRON
bracis-28359	150	21	\	\	NOUN
bracis-28359	150	22	)	)	PUNCT
bracis-28359	150	23	and	and	CCONJ
bracis-28359	150	24	constructs	construct	VERB
bracis-28359	150	25	a	a	DET
bracis-28359	150	26	maxsat	maxsat	ADJ
bracis-28359	150	27	query	query	NOUN
bracis-28359	150	28	to	to	PART
bracis-28359	150	29	apply	apply	VERB
bracis-28359	150	30	it	it	PRON
bracis-28359	150	31	to	to	ADP
bracis-28359	150	32	a	a	DET
bracis-28359	150	33	maxsat	maxsat	ADJ
bracis-28359	150	34	solver	solver	NOUN
bracis-28359	150	35	,	,	PUNCT
bracis-28359	150	36	which	which	PRON
bracis-28359	150	37	returns	return	VERB
bracis-28359	150	38	an	an	DET
bracis-28359	150	39	answer	answer	NOUN
bracis-28359	150	40	that	that	PRON
bracis-28359	150	41	is	be	AUX
bracis-28359	150	42	used	use	VERB
bracis-28359	150	43	to	to	PART
bracis-28359	150	44	generate	generate	VERB
bracis-28359	150	45	\({\textbf	\({\textbf	PROPN
bracis-28359	150	46	{	{	PUNCT
bracis-28359	150	47	m}}\	m}}\	PROPN
bracis-28359	150	48	)	)	PUNCT
bracis-28359	150	49	.	.	PUNCT
bracis-28359	151	1	note	note	VERB
bracis-28359	151	2	that	that	SCONJ
bracis-28359	151	3	imli	imli	NOUN
bracis-28359	151	4	generates	generate	VERB
bracis-28359	151	5	set	set	VERB
bracis-28359	151	6	of	of	ADP
bracis-28359	151	7	rules	rule	NOUN
bracis-28359	151	8	in	in	ADP
bracis-28359	151	9	cnf	cnf	PROPN
bracis-28359	151	10	,	,	PUNCT
bracis-28359	151	11	whereas	whereas	SCONJ
bracis-28359	151	12	our	our	PRON
bracis-28359	151	13	objective	objective	NOUN
bracis-28359	151	14	is	be	AUX
bracis-28359	151	15	to	to	PART
bracis-28359	151	16	obtain	obtain	VERB
bracis-28359	151	17	sets	set	NOUN
bracis-28359	151	18	of	of	ADP
bracis-28359	151	19	rules	rule	NOUN
bracis-28359	151	20	in	in	ADP
bracis-28359	151	21	dnf	dnf	PROPN
bracis-28359	151	22	.	.	PROPN
bracis-28359	152	1	for	for	ADP
bracis-28359	152	2	that	that	PRON
bracis-28359	152	3	,	,	PUNCT
bracis-28359	152	4	we	we	PRON
bracis-28359	152	5	will	will	AUX
bracis-28359	152	6	have	have	VERB
bracis-28359	152	7	to	to	PART
bracis-28359	152	8	use	use	VERB
bracis-28359	152	9	as	as	ADP
bracis-28359	152	10	parameter	parameter	NOUN
bracis-28359	152	11	\(\lnot	\(\lnot	ADV
bracis-28359	152	12	{	{	PUNCT
bracis-28359	152	13	\textbf	\textbf	PROPN
bracis-28359	152	14	{	{	PUNCT
bracis-28359	152	15	y}}\	y}}\	NOUN
bracis-28359	152	16	)	)	PUNCT
bracis-28359	152	17	instead	instead	ADV
bracis-28359	152	18	of	of	ADP
bracis-28359	152	19	\({\textbf	\({\textbf	PROPN
bracis-28359	152	20	{	{	PUNCT
bracis-28359	152	21	y}}\	y}}\	PROPN
bracis-28359	152	22	)	)	PUNCT
bracis-28359	152	23	and	and	CCONJ
bracis-28359	152	24	negate	negate	VERB
bracis-28359	152	25	the	the	DET
bracis-28359	152	26	set	set	NOUN
bracis-28359	152	27	of	of	ADP
bracis-28359	152	28	rules	rule	NOUN
bracis-28359	152	29	\({\textbf	\({\textbf	PROPN
bracis-28359	152	30	{	{	PUNCT
bracis-28359	152	31	m}}\	m}}\	PROPN
bracis-28359	152	32	)	)	PUNCT
bracis-28359	152	33	to	to	PART
bracis-28359	152	34	obtain	obtain	VERB
bracis-28359	152	35	a	a	DET
bracis-28359	152	36	set	set	NOUN
bracis-28359	152	37	of	of	ADP
bracis-28359	152	38	rules	rule	NOUN
bracis-28359	152	39	\({\textbf	\({\textbf	PROPN
bracis-28359	152	40	{	{	PUNCT
bracis-28359	152	41	r}}\	r}}\	PROPN
bracis-28359	152	42	)	)	PUNCT
bracis-28359	152	43	in	in	ADP
bracis-28359	152	44	dnf	dnf	PROPN
bracis-28359	152	45	.	.	PUNCT
bracis-28359	153	1	the	the	DET
bracis-28359	153	2	construction	construction	NOUN
bracis-28359	153	3	of	of	ADP
bracis-28359	153	4	the	the	DET
bracis-28359	153	5	maxsat	maxsat	ADJ
bracis-28359	153	6	clauses	clause	NOUN
bracis-28359	153	7	is	be	AUX
bracis-28359	153	8	defined	define	VERB
bracis-28359	153	9	by	by	ADP
bracis-28359	153	10	propositional	propositional	ADJ
bracis-28359	153	11	variables	variable	NOUN
bracis-28359	153	12	:	:	PUNCT
bracis-28359	153	13	\(b_o^v\	\(b_o^v\	NOUN
bracis-28359	153	14	)	)	PUNCT
bracis-28359	153	15	and	and	CCONJ
bracis-28359	153	16	\(\eta	\(\eta	X
bracis-28359	153	17	_	_	PRON
bracis-28359	153	18	i\	i\	NOUN
bracis-28359	153	19	)	)	PUNCT
bracis-28359	153	20	,	,	PUNCT
bracis-28359	153	21	for	for	ADP
bracis-28359	153	22	\(v	\(v	X
bracis-28359	153	23	\in	\in	PROPN
bracis-28359	153	24	\{1,	\{1,	ADJ
bracis-28359	153	25	...	...	PUNCT
bracis-28359	153	26	,2m\}\	,2m\}\	NUM
bracis-28359	153	27	)	)	PUNCT
bracis-28359	153	28	.	.	PUNCT
bracis-28359	154	1	the	the	DET
bracis-28359	154	2	v	v	NOUN
bracis-28359	154	3	ranges	range	VERB
bracis-28359	154	4	from	from	ADP
bracis-28359	154	5	1	1	NUM
bracis-28359	154	6	to	to	ADP
bracis-28359	154	7	2	2	NUM
bracis-28359	154	8	m	m	NOUN
bracis-28359	154	9	,	,	PUNCT
bracis-28359	154	10	as	as	SCONJ
bracis-28359	154	11	it	it	PRON
bracis-28359	154	12	also	also	ADV
bracis-28359	154	13	considers	consider	VERB
bracis-28359	154	14	opposite	opposite	ADJ
bracis-28359	154	15	features	feature	NOUN
bracis-28359	154	16	.	.	PUNCT
bracis-28359	155	1	if	if	SCONJ
bracis-28359	155	2	the	the	DET
bracis-28359	155	3	valuation	valuation	NOUN
bracis-28359	155	4	of	of	ADP
bracis-28359	155	5	\(b_o^v\	\(b_o^v\	PROPN
bracis-28359	155	6	)	)	PUNCT
bracis-28359	155	7	is	be	AUX
bracis-28359	155	8	true	true	ADJ
bracis-28359	155	9	and	and	CCONJ
bracis-28359	155	10	\(v	\(v	NOUN
bracis-28359	155	11	\le	\le	NOUN
bracis-28359	155	12	m\	m\	NOUN
bracis-28359	155	13	)	)	PUNCT
bracis-28359	155	14	,	,	PUNCT
bracis-28359	155	15	it	it	PRON
bracis-28359	155	16	means	mean	VERB
bracis-28359	155	17	that	that	SCONJ
bracis-28359	155	18	feature	feature	NOUN
bracis-28359	155	19	\(x^v\	\(x^v\	NOUN
bracis-28359	155	20	)	)	PUNCT
bracis-28359	155	21	will	will	AUX
bracis-28359	155	22	be	be	AUX
bracis-28359	155	23	in	in	ADP
bracis-28359	155	24	the	the	DET
bracis-28359	155	25	rule	rule	NOUN
bracis-28359	155	26	\(m_o\	\(m_o\	NOUN
bracis-28359	155	27	)	)	PUNCT
bracis-28359	155	28	,	,	PUNCT
bracis-28359	155	29	where	where	SCONJ
bracis-28359	155	30	\(m_o\	\(m_o\	NOUN
bracis-28359	155	31	)	)	PUNCT
bracis-28359	155	32	is	be	AUX
bracis-28359	155	33	the	the	DET
bracis-28359	155	34	oth	oth	PROPN
bracis-28359	155	35	rule	rule	NOUN
bracis-28359	155	36	of	of	ADP
bracis-28359	155	37	\({\textbf	\({\textbf	PROPN
bracis-28359	155	38	{	{	PUNCT
bracis-28359	155	39	m}}\	m}}\	PROPN
bracis-28359	155	40	)	)	PUNCT
bracis-28359	155	41	.	.	PUNCT
bracis-28359	156	1	if	if	SCONJ
bracis-28359	156	2	the	the	DET
bracis-28359	156	3	valuation	valuation	NOUN
bracis-28359	156	4	of	of	ADP
bracis-28359	156	5	the	the	DET
bracis-28359	156	6	\(b_o^v\	\(b_o^v\	NOUN
bracis-28359	156	7	)	)	PUNCT
bracis-28359	156	8	is	be	AUX
bracis-28359	156	9	true	true	ADJ
bracis-28359	156	10	and	and	CCONJ
bracis-28359	156	11	\(v	\(v	VERB
bracis-28359	156	12	>	>	X
bracis-28359	156	13	m\	m\	NOUN
bracis-28359	156	14	)	)	PUNCT
bracis-28359	156	15	,	,	PUNCT
bracis-28359	156	16	it	it	PRON
bracis-28359	156	17	means	mean	VERB
bracis-28359	156	18	that	that	SCONJ
bracis-28359	156	19	feature	feature	VERB
bracis-28359	156	20	\(\lnot	\(\lnot	ADV
bracis-28359	156	21	x^{v	x^{v	NOUN
bracis-28359	156	22	m}\	m}\	NUM
bracis-28359	156	23	)	)	PUNCT
bracis-28359	156	24	will	will	AUX
bracis-28359	156	25	be	be	AUX
bracis-28359	156	26	in	in	ADP
bracis-28359	156	27	the	the	DET
bracis-28359	156	28	rule	rule	NOUN
bracis-28359	156	29	\(m_o\	\(m_o\	NOUN
bracis-28359	156	30	)	)	PUNCT
bracis-28359	156	31	.	.	PUNCT
bracis-28359	157	1	if	if	SCONJ
bracis-28359	157	2	the	the	DET
bracis-28359	157	3	valuation	valuation	NOUN
bracis-28359	157	4	of	of	ADP
bracis-28359	157	5	\(\eta	\(\eta	PROPN
bracis-28359	157	6	_	_	NOUN
bracis-28359	157	7	i\	i\	NOUN
bracis-28359	157	8	)	)	PUNCT
bracis-28359	157	9	is	be	AUX
bracis-28359	157	10	true	true	ADJ
bracis-28359	157	11	,	,	PUNCT
bracis-28359	157	12	it	it	PRON
bracis-28359	157	13	means	mean	VERB
bracis-28359	157	14	that	that	SCONJ
bracis-28359	157	15	sample	sample	NOUN
bracis-28359	157	16	\({\textbf	\({\textbf	PROPN
bracis-28359	157	17	{	{	PUNCT
bracis-28359	157	18	x}}_i\	x}}_i\	NOUN
bracis-28359	157	19	)	)	PUNCT
bracis-28359	157	20	is	be	AUX
bracis-28359	157	21	not	not	PART
bracis-28359	157	22	classified	classify	VERB
bracis-28359	157	23	correctly	correctly	ADV
bracis-28359	157	24	,	,	PUNCT
bracis-28359	157	25	that	that	ADV
bracis-28359	157	26	is	is	ADV
bracis-28359	157	27	,	,	PUNCT
bracis-28359	157	28	\({\textbf	\({\textbf	PROPN
bracis-28359	157	29	{	{	PUNCT
bracis-28359	157	30	m}}({\textbf	m}}({\textbf	PROPN
bracis-28359	157	31	{	{	PUNCT
bracis-28359	157	32	x}}_i	x}}_i	PROPN
bracis-28359	157	33	)	)	PUNCT
bracis-28359	157	34	\ne	\ne	PROPN
bracis-28359	157	35	y_i\	y_i\	NOUN
bracis-28359	157	36	)	)	PUNCT
bracis-28359	157	37	.	.	PUNCT
bracis-28359	158	1	that	that	PRON
bracis-28359	158	2	said	say	VERB
bracis-28359	158	3	,	,	PUNCT
bracis-28359	158	4	below	below	ADV
bracis-28359	158	5	,	,	PUNCT
bracis-28359	158	6	we	we	PRON
bracis-28359	158	7	will	will	AUX
bracis-28359	158	8	show	show	VERB
bracis-28359	158	9	the	the	DET
bracis-28359	158	10	constraints	constraint	NOUN
bracis-28359	158	11	for	for	ADP
bracis-28359	158	12	constructing	construct	VERB
bracis-28359	158	13	maxsat	maxsat	ADJ
bracis-28359	158	14	clauses	clause	NOUN
bracis-28359	158	15	.	.	PUNCT
bracis-28359	159	1	constraints	constraint	NOUN
bracis-28359	159	2	that	that	PRON
bracis-28359	159	3	represent	represent	VERB
bracis-28359	159	4	that	that	SCONJ
bracis-28359	159	5	the	the	DET
bracis-28359	159	6	cost	cost	NOUN
bracis-28359	159	7	of	of	ADP
bracis-28359	159	8	a	a	DET
bracis-28359	159	9	misclassification	misclassification	NOUN
bracis-28359	159	10	is	be	AUX
bracis-28359	159	11	\(\lambda	\(\lambda	PRON
bracis-28359	159	12	\	\	NOUN
bracis-28359	159	13	):	):	PUNCT
bracis-28359	159	14	$	$	SYM
bracis-28359	159	15	$	$	SYM
bracis-28359	159	16	\begin{aligned	\begin{aligne	VERB
bracis-28359	159	17	}	}	PUNCT
bracis-28359	159	18	a	a	PRON
bracis-28359	159	19	=	=	PUNCT
bracis-28359	159	20	\bigwedge	\bigwedge	NOUN
bracis-28359	159	21	_	_	PROPN
bracis-28359	159	22	{	{	PUNCT
bracis-28359	159	23	i	i	PROPN
bracis-28359	159	24	\in	\in	VERB
bracis-28359	159	25	\{1,	\{1,	ADV
bracis-28359	159	26	...	...	PUNCT
bracis-28359	159	27	,n\	,n\	PUNCT
bracis-28359	159	28	}	}	PUNCT
bracis-28359	159	29	}	}	PUNCT
bracis-28359	160	1	\lnot	\lnot	ADV
bracis-28359	160	2	\eta	\eta	PROPN
bracis-28359	160	3	_	_	NOUN
bracis-28359	160	4	i	i	PRON
bracis-28359	160	5	,	,	PUNCT
bracis-28359	160	6	w(a	w(a	ADV
bracis-28359	160	7	)	)	PUNCT
bracis-28359	161	1	=	=	PUNCT
bracis-28359	161	2	\lambda	\lambda	PROPN
bracis-28359	161	3	\end{aligned}$$	\end{aligned}$$	NOUN
bracis-28359	161	4	(	(	PUNCT
bracis-28359	161	5	10	10	NUM
bracis-28359	161	6	)	)	PUNCT
bracis-28359	161	7	constraints	constraint	NOUN
bracis-28359	161	8	that	that	PRON
bracis-28359	161	9	represent	represent	VERB
bracis-28359	161	10	that	that	SCONJ
bracis-28359	161	11	the	the	DET
bracis-28359	161	12	model	model	NOUN
bracis-28359	161	13	tries	try	VERB
bracis-28359	161	14	to	to	PART
bracis-28359	161	15	insert	insert	VERB
bracis-28359	161	16	as	as	ADP
bracis-28359	161	17	few	few	ADJ
bracis-28359	161	18	features	feature	NOUN
bracis-28359	161	19	as	as	ADP
bracis-28359	161	20	possible	possible	ADJ
bracis-28359	161	21	in	in	ADP
bracis-28359	161	22	\({\textbf	\({\textbf	PROPN
bracis-28359	161	23	{	{	PUNCT
bracis-28359	161	24	m}}\	m}}\	PROPN
bracis-28359	161	25	)	)	PUNCT
bracis-28359	161	26	,	,	PUNCT
bracis-28359	161	27	taking	take	VERB
bracis-28359	161	28	into	into	ADP
bracis-28359	161	29	account	account	NOUN
bracis-28359	161	30	the	the	DET
bracis-28359	161	31	weights	weight	NOUN
bracis-28359	161	32	of	of	ADP
bracis-28359	161	33	all	all	DET
bracis-28359	161	34	clauses	clause	NOUN
bracis-28359	161	35	:	:	PUNCT
bracis-28359	161	36	$	$	SYM
bracis-28359	161	37	$	$	SYM
bracis-28359	161	38	\begin{aligned	\begin{aligne	VERB
bracis-28359	161	39	}	}	PUNCT
bracis-28359	161	40	b	b	NOUN
bracis-28359	161	41	=	=	PUNCT
bracis-28359	161	42	\bigwedge	\bigwedge	VERB
bracis-28359	161	43	_	_	PROPN
bracis-28359	161	44	{	{	PUNCT
bracis-28359	161	45	v	v	ADP
bracis-28359	161	46	\in	\in	PROPN
bracis-28359	161	47	\{1,	\{1,	ADJ
bracis-28359	161	48	...	...	PUNCT
bracis-28359	161	49	,2m\	,2m\	PUNCT
bracis-28359	161	50	}	}	PUNCT
bracis-28359	161	51	\atop	\atop	ADP
bracis-28359	161	52	o	o	NOUN
bracis-28359	161	53	\in	\in	PROPN
bracis-28359	161	54	\{1,	\{1,	ADJ
bracis-28359	161	55	...	...	PUNCT
bracis-28359	161	56	,k\	,k\	PUNCT
bracis-28359	161	57	}	}	PUNCT
bracis-28359	161	58	}	}	PUNCT
bracis-28359	161	59	\lnot	\lnot	PROPN
bracis-28359	161	60	b_o^v	b_o^v	NUM
bracis-28359	161	61	,	,	PUNCT
bracis-28359	161	62	w(b	w(b	NOUN
bracis-28359	161	63	)	)	PUNCT
bracis-28359	161	64	=	=	SYM
bracis-28359	161	65	1	1	NUM
bracis-28359	161	66	\end{aligned}$$	\end{aligned}$$	ADP
bracis-28359	161	67	(	(	PUNCT
bracis-28359	161	68	11	11	NUM
bracis-28359	161	69	)	)	PUNCT
bracis-28359	161	70	even	even	ADV
bracis-28359	161	71	though	though	SCONJ
bracis-28359	161	72	the	the	DET
bracis-28359	161	73	constraints	constraint	NOUN
bracis-28359	161	74	in	in	ADP
bracis-28359	161	75	 	 	SPACE
bracis-28359	161	76	11	11	NUM
bracis-28359	161	77	prioritize	prioritize	NOUN
bracis-28359	161	78	learning	learn	VERB
bracis-28359	161	79	sparse	sparse	ADJ
bracis-28359	161	80	rules	rule	NOUN
bracis-28359	161	81	,	,	PUNCT
bracis-28359	161	82	they	they	PRON
bracis-28359	161	83	do	do	VERB
bracis-28359	161	84	so	so	ADV
bracis-28359	161	85	by	by	ADP
bracis-28359	161	86	directing	direct	VERB
bracis-28359	161	87	attention	attention	NOUN
bracis-28359	161	88	to	to	ADP
bracis-28359	161	89	the	the	DET
bracis-28359	161	90	overall	overall	ADJ
bracis-28359	161	91	set	set	NOUN
bracis-28359	161	92	of	of	ADP
bracis-28359	161	93	rules	rule	NOUN
bracis-28359	161	94	,	,	PUNCT
bracis-28359	161	95	i.e.	i.e.	X
bracis-28359	161	96	in	in	ADP
bracis-28359	161	97	the	the	DET
bracis-28359	161	98	total	total	ADJ
bracis-28359	161	99	number	number	NOUN
bracis-28359	161	100	of	of	ADP
bracis-28359	161	101	features	feature	NOUN
bracis-28359	161	102	in	in	ADP
bracis-28359	161	103	\({\textbf	\({\textbf	PROPN
bracis-28359	161	104	{	{	PUNCT
bracis-28359	161	105	m}}\	m}}\	PROPN
bracis-28359	161	106	)	)	PUNCT
bracis-28359	161	107	.	.	PUNCT
bracis-28359	162	1	then	then	ADV
bracis-28359	162	2	,	,	PUNCT
bracis-28359	162	3	imli	imli	ADV
bracis-28359	162	4	may	may	AUX
bracis-28359	162	5	generate	generate	VERB
bracis-28359	162	6	a	a	DET
bracis-28359	162	7	set	set	NOUN
bracis-28359	162	8	of	of	ADP
bracis-28359	162	9	rules	rule	NOUN
bracis-28359	162	10	that	that	PRON
bracis-28359	162	11	comprises	comprise	VERB
bracis-28359	162	12	a	a	DET
bracis-28359	162	13	combination	combination	NOUN
bracis-28359	162	14	of	of	ADP
bracis-28359	162	15	both	both	CCONJ
bracis-28359	162	16	large	large	ADJ
bracis-28359	162	17	and	and	CCONJ
bracis-28359	162	18	small	small	ADJ
bracis-28359	162	19	rules	rule	NOUN
bracis-28359	162	20	.	.	PUNCT
bracis-28359	163	1	in	in	ADP
bracis-28359	163	2	our	our	PRON
bracis-28359	163	3	approach	approach	NOUN
bracis-28359	163	4	presented	present	VERB
bracis-28359	163	5	in	in	ADP
bracis-28359	163	6	sect	sect	NOUN
bracis-28359	163	7	.	.	PUNCT
bracis-28359	163	8	 	 	SPACE
bracis-28359	164	1	4	4	NUM
bracis-28359	164	2	,	,	PUNCT
bracis-28359	164	3	we	we	PRON
bracis-28359	164	4	address	address	VERB
bracis-28359	164	5	this	this	DET
bracis-28359	164	6	drawback	drawback	NOUN
bracis-28359	164	7	by	by	ADP
bracis-28359	164	8	limiting	limit	VERB
bracis-28359	164	9	the	the	DET
bracis-28359	164	10	number	number	NOUN
bracis-28359	164	11	of	of	ADP
bracis-28359	164	12	features	feature	NOUN
bracis-28359	164	13	in	in	ADP
bracis-28359	164	14	each	each	DET
bracis-28359	164	15	rule	rule	NOUN
bracis-28359	164	16	.	.	PUNCT
bracis-28359	165	1	we	we	PRON
bracis-28359	165	2	will	will	AUX
bracis-28359	165	3	use	use	VERB
bracis-28359	165	4	\({\textbf	\({\textbf	PROPN
bracis-28359	165	5	{	{	PUNCT
bracis-28359	165	6	l}}_o\	l}}_o\	PROPN
bracis-28359	165	7	)	)	PUNCT
bracis-28359	165	8	to	to	PART
bracis-28359	165	9	represent	represent	VERB
bracis-28359	165	10	the	the	DET
bracis-28359	165	11	set	set	NOUN
bracis-28359	165	12	of	of	ADP
bracis-28359	165	13	variables	variable	NOUN
bracis-28359	165	14	\(b_o^v\	\(b_o^v\	PROPN
bracis-28359	165	15	)	)	PUNCT
bracis-28359	165	16	of	of	ADP
bracis-28359	165	17	a	a	DET
bracis-28359	165	18	rule	rule	NOUN
bracis-28359	165	19	\(m_o\	\(m_o\	NOUN
bracis-28359	165	20	)	)	PUNCT
bracis-28359	165	21	,	,	PUNCT
bracis-28359	165	22	that	that	ADV
bracis-28359	165	23	is	is	ADV
bracis-28359	165	24	,	,	PUNCT
bracis-28359	165	25	\({\textbf	\({\textbf	PROPN
bracis-28359	165	26	{	{	PUNCT
bracis-28359	165	27	l}}_o	l}}_o	NOUN
bracis-28359	165	28	=	=	SYM
bracis-28359	165	29	\{b_o^v\	\{b_o^v\	NOUN
bracis-28359	165	30	,	,	PUNCT
bracis-28359	165	31	|	|	ADV
bracis-28359	165	32	v	v	ADP
bracis-28359	165	33	\in	\in	PROPN
bracis-28359	165	34	\{1	\{1	PROPN
bracis-28359	165	35	,	,	PUNCT
bracis-28359	165	36	...	...	PUNCT
bracis-28359	165	37	,	,	PUNCT
bracis-28359	165	38	2m\}\}\	2m\}\}\	NUM
bracis-28359	165	39	)	)	PUNCT
bracis-28359	165	40	,	,	PUNCT
bracis-28359	165	41	for	for	ADP
bracis-28359	165	42	\(o	\(o	ADJ
bracis-28359	165	43	\in	\in	PROPN
bracis-28359	165	44	\{1,	\{1,	ADJ
bracis-28359	165	45	...	...	PUNCT
bracis-28359	165	46	,k\}\	,k\}\	NOUN
bracis-28359	165	47	)	)	PUNCT
bracis-28359	165	48	.	.	PUNCT
bracis-28359	166	1	to	to	PART
bracis-28359	166	2	represent	represent	VERB
bracis-28359	166	3	the	the	DET
bracis-28359	166	4	concatenation	concatenation	NOUN
bracis-28359	166	5	of	of	ADP
bracis-28359	166	6	two	two	NUM
bracis-28359	166	7	samples	sample	NOUN
bracis-28359	166	8	,	,	PUNCT
bracis-28359	166	9	we	we	PRON
bracis-28359	166	10	will	will	AUX
bracis-28359	166	11	use	use	VERB
bracis-28359	166	12	the	the	DET
bracis-28359	166	13	symbol	symbol	NOUN
bracis-28359	166	14	\(\cup	\(\cup	ADP
bracis-28359	166	15	\	\	NOUN
bracis-28359	166	16	)	)	PUNCT
bracis-28359	166	17	.	.	PUNCT
bracis-28359	167	1	we	we	PRON
bracis-28359	167	2	also	also	ADV
bracis-28359	167	3	use	use	VERB
bracis-28359	167	4	the	the	DET
bracis-28359	167	5	symbol	symbol	NOUN
bracis-28359	167	6	@	@	ADP
bracis-28359	168	1	to	to	PART
bracis-28359	168	2	represent	represent	VERB
bracis-28359	168	3	an	an	DET
bracis-28359	168	4	operation	operation	NOUN
bracis-28359	168	5	between	between	ADP
bracis-28359	168	6	two	two	NUM
bracis-28359	168	7	vectors	vector	NOUN
bracis-28359	168	8	of	of	ADP
bracis-28359	168	9	the	the	DET
bracis-28359	168	10	same	same	ADJ
bracis-28359	168	11	size	size	NOUN
bracis-28359	168	12	.	.	PUNCT
bracis-28359	169	1	the	the	DET
bracis-28359	169	2	operation	operation	NOUN
bracis-28359	169	3	consists	consist	VERB
bracis-28359	169	4	of	of	ADP
bracis-28359	169	5	applying	apply	VERB
bracis-28359	169	6	a	a	DET
bracis-28359	169	7	conjunction	conjunction	NOUN
bracis-28359	169	8	between	between	ADP
bracis-28359	169	9	the	the	DET
bracis-28359	169	10	corresponding	corresponding	ADJ
bracis-28359	169	11	elements	element	NOUN
bracis-28359	169	12	of	of	ADP
bracis-28359	169	13	the	the	DET
bracis-28359	169	14	vectors	vector	NOUN
bracis-28359	169	15	.	.	PUNCT
bracis-28359	170	1	subsequently	subsequently	ADV
bracis-28359	170	2	,	,	PUNCT
bracis-28359	170	3	a	a	DET
bracis-28359	170	4	disjunction	disjunction	NOUN
bracis-28359	170	5	between	between	ADP
bracis-28359	170	6	the	the	DET
bracis-28359	170	7	elements	element	NOUN
bracis-28359	170	8	of	of	ADP
bracis-28359	170	9	the	the	DET
bracis-28359	170	10	result	result	NOUN
bracis-28359	170	11	is	be	AUX
bracis-28359	170	12	applied	apply	VERB
bracis-28359	170	13	.	.	PUNCT
bracis-28359	171	1	the	the	DET
bracis-28359	171	2	following	follow	VERB
bracis-28359	171	3	example	example	NOUN
bracis-28359	171	4	illustrates	illustrate	VERB
bracis-28359	171	5	how	how	SCONJ
bracis-28359	171	6	these	these	DET
bracis-28359	171	7	definitions	definition	NOUN
bracis-28359	171	8	will	will	AUX
bracis-28359	171	9	be	be	AUX
bracis-28359	171	10	used	use	VERB
bracis-28359	171	11	:	:	PUNCT
bracis-28359	171	12	example	example	NOUN
bracis-28359	171	13	4	4	NUM
bracis-28359	171	14	let	let	VERB
bracis-28359	171	15	be	be	AUX
bracis-28359	171	16	\({\textbf	\({\textbf	PROPN
bracis-28359	171	17	{	{	PUNCT
bracis-28359	171	18	x}}_4\	x}}_4\	NOUN
bracis-28359	171	19	)	)	PUNCT
bracis-28359	171	20	as	as	ADP
bracis-28359	171	21	in	in	ADP
bracis-28359	171	22	example	example	NOUN
bracis-28359	171	23	1	1	NUM
bracis-28359	171	24	,	,	PUNCT
bracis-28359	171	25	\({\textbf	\({\textbf	PROPN
bracis-28359	171	26	{	{	PUNCT
bracis-28359	171	27	x}}_4	x}}_4	PROPN
bracis-28359	171	28	\cup	\cup	VERB
bracis-28359	171	29	\lnot	\lnot	PROPN
bracis-28359	171	30	{	{	PUNCT
bracis-28359	171	31	\textbf	\textbf	PROPN
bracis-28359	171	32	{	{	PUNCT
bracis-28359	171	33	x}}_4	x}}_4	PROPN
bracis-28359	171	34	=	=	PUNCT
bracis-28359	172	1	[	[	X
bracis-28359	172	2	1,0,0,0,1,1]\	1,0,0,0,1,1]\	NUM
bracis-28359	172	3	)	)	PUNCT
bracis-28359	172	4	and	and	CCONJ
bracis-28359	172	5	\({\textbf	\({\textbf	PROPN
bracis-28359	172	6	{	{	PUNCT
bracis-28359	172	7	l}}_o	l}}_o	PROPN
bracis-28359	172	8	=	=	PUNCT
bracis-28359	173	1	[	[	X
bracis-28359	173	2	b_o^1,b_o^2,b_o^3,b_o^4,b_o^5,b_o^6]\	b_o^1,b_o^2,b_o^3,b_o^4,b_o^5,b_o^6]\	X
bracis-28359	173	3	)	)	PUNCT
bracis-28359	173	4	.	.	PUNCT
bracis-28359	174	1	therefore	therefore	ADV
bracis-28359	174	2	,	,	PUNCT
bracis-28359	174	3	\(({\textbf	\(({\textbf	NOUN
bracis-28359	174	4	{	{	PUNCT
bracis-28359	174	5	x}}_4	x}}_4	PUNCT
bracis-28359	174	6	\cup	\cup	VERB
bracis-28359	174	7	\lnot	\lnot	PROPN
bracis-28359	174	8	{	{	PUNCT
bracis-28359	174	9	\textbf	\textbf	PROPN
bracis-28359	174	10	{	{	PUNCT
bracis-28359	174	11	x}}_4	x}}_4	PROPN
bracis-28359	174	12	)	)	PUNCT
bracis-28359	174	13	@	@	ADP
bracis-28359	174	14	{	{	PUNCT
bracis-28359	174	15	\textbf	\textbf	PROPN
bracis-28359	174	16	{	{	PUNCT
bracis-28359	174	17	l}}_o	l}}_o	NOUN
bracis-28359	174	18	=	=	SYM
bracis-28359	174	19	(	(	PUNCT
bracis-28359	174	20	x_{4,1	x_{4,1	PROPN
bracis-28359	174	21	}	}	PUNCT
bracis-28359	174	22	\wedge	\wedge	PROPN
bracis-28359	174	23	b_o^1	b_o^1	PROPN
bracis-28359	174	24	)	)	PUNCT
bracis-28359	174	25	\vee	\vee	PROPN
bracis-28359	174	26	(	(	PUNCT
bracis-28359	174	27	x_{4,2	x_{4,2	PROPN
bracis-28359	174	28	}	}	PUNCT
bracis-28359	174	29	\wedge	\wedge	PROPN
bracis-28359	174	30	b_o^2	b_o^2	PROPN
bracis-28359	174	31	)	)	PUNCT
bracis-28359	174	32	\vee	\vee	PROPN
bracis-28359	174	33	...	...	PUNCT
bracis-28359	175	1	\vee	\vee	PROPN
bracis-28359	175	2	(	(	PUNCT
bracis-28359	175	3	\lnot	\lnot	PROPN
bracis-28359	175	4	x_{4,6	x_{4,6	PROPN
bracis-28359	175	5	}	}	PUNCT
bracis-28359	175	6	\wedge	\wedge	PROPN
bracis-28359	175	7	b_o^6	b_o^6	NOUN
bracis-28359	175	8	)	)	PUNCT
bracis-28359	175	9	=	=	PUNCT
bracis-28359	175	10	(	(	PUNCT
bracis-28359	175	11	1	1	NUM
bracis-28359	175	12	\wedge	\wedge	PROPN
bracis-28359	175	13	b_o^1	b_o^1	PROPN
bracis-28359	175	14	)	)	PUNCT
bracis-28359	175	15	\vee	\vee	PROPN
bracis-28359	175	16	(	(	PUNCT
bracis-28359	175	17	0	0	NUM
bracis-28359	175	18	\wedge	\wedge	PROPN
bracis-28359	175	19	b_o^2	b_o^2	PROPN
bracis-28359	175	20	)	)	PUNCT
bracis-28359	175	21	\vee	\vee	PROPN
bracis-28359	175	22	...	...	PUNCT
bracis-28359	176	1	\vee	\vee	PROPN
bracis-28359	176	2	(	(	PUNCT
bracis-28359	176	3	1	1	NUM
bracis-28359	176	4	\wedge	\wedge	PROPN
bracis-28359	176	5	b_o^6	b_o^6	NOUN
bracis-28359	176	6	)	)	PUNCT
bracis-28359	176	7	=	=	SYM
bracis-28359	176	8	b_o^1	b_o^1	PROPN
bracis-28359	176	9	\vee	\vee	PROPN
bracis-28359	176	10	b_o^5	b_o^5	ADP
bracis-28359	176	11	\vee	\vee	NOUN
bracis-28359	176	12	b_o^6\	b_o^6\	ADJ
bracis-28359	176	13	)	)	PUNCT
bracis-28359	176	14	.	.	PUNCT
bracis-28359	177	1	the	the	DET
bracis-28359	177	2	objective	objective	NOUN
bracis-28359	177	3	of	of	ADP
bracis-28359	177	4	this	this	DET
bracis-28359	177	5	operation	operation	NOUN
bracis-28359	177	6	is	be	AUX
bracis-28359	177	7	to	to	PART
bracis-28359	177	8	generate	generate	VERB
bracis-28359	177	9	a	a	DET
bracis-28359	177	10	disjunction	disjunction	NOUN
bracis-28359	177	11	of	of	ADP
bracis-28359	177	12	variables	variable	NOUN
bracis-28359	177	13	that	that	PRON
bracis-28359	177	14	indicates	indicate	VERB
bracis-28359	177	15	if	if	SCONJ
bracis-28359	177	16	any	any	PRON
bracis-28359	177	17	of	of	ADP
bracis-28359	177	18	the	the	DET
bracis-28359	177	19	features	feature	NOUN
bracis-28359	177	20	associated	associate	VERB
bracis-28359	177	21	with	with	ADP
bracis-28359	177	22	these	these	DET
bracis-28359	177	23	variables	variable	NOUN
bracis-28359	177	24	are	be	AUX
bracis-28359	177	25	present	present	ADJ
bracis-28359	177	26	in	in	ADP
bracis-28359	177	27	\(m_o\	\(m_o\	NOUN
bracis-28359	177	28	)	)	PUNCT
bracis-28359	177	29	,	,	PUNCT
bracis-28359	177	30	then	then	ADV
bracis-28359	177	31	sample	sample	VERB
bracis-28359	177	32	\({\textbf	\({\textbf	PROPN
bracis-28359	177	33	{	{	PUNCT
bracis-28359	177	34	x}}_i\	x}}_i\	NOUN
bracis-28359	177	35	)	)	PUNCT
bracis-28359	177	36	will	will	AUX
bracis-28359	177	37	be	be	AUX
bracis-28359	177	38	correctly	correctly	ADV
bracis-28359	177	39	classified	classify	VERB
bracis-28359	177	40	by	by	ADP
bracis-28359	177	41	\(m_o\	\(m_o\	NOUN
bracis-28359	177	42	)	)	PUNCT
bracis-28359	177	43	.	.	PUNCT
bracis-28359	178	1	now	now	ADV
bracis-28359	178	2	,	,	PUNCT
bracis-28359	178	3	we	we	PRON
bracis-28359	178	4	can	can	AUX
bracis-28359	178	5	show	show	VERB
bracis-28359	178	6	the	the	DET
bracis-28359	178	7	formula	formula	NOUN
bracis-28359	178	8	that	that	PRON
bracis-28359	178	9	guarantees	guarantee	VERB
bracis-28359	178	10	that	that	SCONJ
bracis-28359	178	11	if	if	SCONJ
bracis-28359	178	12	\(\eta	\(\eta	ADJ
bracis-28359	178	13	_	_	PRON
bracis-28359	178	14	i\	i\	NOUN
bracis-28359	178	15	)	)	PUNCT
bracis-28359	178	16	is	be	AUX
bracis-28359	178	17	false	false	ADJ
bracis-28359	178	18	,	,	PUNCT
bracis-28359	178	19	then	then	ADV
bracis-28359	178	20	\({\textbf	\({\textbf	PROPN
bracis-28359	178	21	{	{	PUNCT
bracis-28359	178	22	m	m	PROPN
bracis-28359	178	23	}	}	PUNCT
bracis-28359	178	24	}	}	PUNCT
bracis-28359	178	25	(	(	PUNCT
bracis-28359	178	26	{	{	PUNCT
bracis-28359	178	27	\textbf	\textbf	PROPN
bracis-28359	178	28	{	{	PUNCT
bracis-28359	178	29	x}}_i	x}}_i	PROPN
bracis-28359	178	30	)	)	PUNCT
bracis-28359	178	31	=	=	SYM
bracis-28359	178	32	y_i\	y_i\	NOUN
bracis-28359	178	33	):	):	PUNCT
bracis-28359	178	34	$	$	SYM
bracis-28359	178	35	$	$	SYM
bracis-28359	178	36	\begin{aligned	\begin{aligne	VERB
bracis-28359	178	37	}	}	PUNCT
bracis-28359	178	38	c	c	X
bracis-28359	178	39	=	=	PUNCT
bracis-28359	178	40	\bigwedge	\bigwedge	NOUN
bracis-28359	178	41	_	_	PROPN
bracis-28359	178	42	{	{	PUNCT
bracis-28359	178	43	\	\	PROPN
bracis-28359	178	44	i\	i\	PROPN
bracis-28359	178	45	\in	\in	PROPN
bracis-28359	178	46	\	\	NOUN
bracis-28359	178	47	\{1	\{1	NOUN
bracis-28359	178	48	,	,	PUNCT
bracis-28359	178	49	...	...	PUNCT
bracis-28359	178	50	,	,	PUNCT
bracis-28359	178	51	n\	n\	NOUN
bracis-28359	178	52	}	}	PUNCT
bracis-28359	178	53	}	}	PUNCT
bracis-28359	179	1	\lnot	\lnot	PROPN
bracis-28359	179	2	\eta	\eta	PROPN
bracis-28359	179	3	_	_	NOUN
bracis-28359	180	1	i	i	PRON
bracis-28359	180	2	\rightarrow	\rightarrow	PROPN
bracis-28359	180	3	(	(	PUNCT
bracis-28359	180	4	y_i	y_i	PROPN
bracis-28359	180	5	\leftrightarrow	\leftrightarrow	PROPN
bracis-28359	180	6	\bigwedge	\bigwedge	NOUN
bracis-28359	180	7	_	_	PUNCT
bracis-28359	180	8	{	{	PUNCT
bracis-28359	180	9	o	o	X
bracis-28359	180	10	\in	\in	PROPN
bracis-28359	180	11	\{1,	\{1,	ADJ
bracis-28359	180	12	...	...	PUNCT
bracis-28359	180	13	,k\	,k\	PUNCT
bracis-28359	180	14	}	}	PUNCT
bracis-28359	180	15	}	}	PUNCT
bracis-28359	180	16	(	(	PUNCT
bracis-28359	180	17	(	(	PUNCT
bracis-28359	180	18	{	{	PUNCT
bracis-28359	180	19	\textbf	\textbf	PROPN
bracis-28359	180	20	{	{	PUNCT
bracis-28359	180	21	x}}_i	x}}_i	PROPN
bracis-28359	180	22	\cup	\cup	VERB
bracis-28359	180	23	\lnot	\lnot	PROPN
bracis-28359	180	24	{	{	PUNCT
bracis-28359	180	25	\textbf	\textbf	PROPN
bracis-28359	180	26	{	{	PUNCT
bracis-28359	180	27	x}}_i	x}}_i	PROPN
bracis-28359	180	28	)	)	PUNCT
bracis-28359	180	29	@	@	ADP
bracis-28359	180	30	{	{	PUNCT
bracis-28359	180	31	\textbf	\textbf	PROPN
bracis-28359	180	32	{	{	PUNCT
bracis-28359	180	33	l}}_o	l}}_o	PROPN
bracis-28359	180	34	)	)	PUNCT
bracis-28359	180	35	)	)	PUNCT
bracis-28359	180	36	,	,	PUNCT
bracis-28359	180	37	w(c	w(c	ADJ
bracis-28359	180	38	)	)	PUNCT
bracis-28359	180	39	=	=	PUNCT
bracis-28359	181	1	\infty	\infty	PROPN
bracis-28359	181	2	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	181	3	(	(	PUNCT
bracis-28359	181	4	12	12	NUM
bracis-28359	181	5	)	)	PUNCT
bracis-28359	181	6	we	we	PRON
bracis-28359	181	7	can	can	AUX
bracis-28359	181	8	see	see	VERB
bracis-28359	181	9	that	that	SCONJ
bracis-28359	181	10	c	c	PROPN
bracis-28359	181	11	is	be	AUX
bracis-28359	181	12	not	not	PART
bracis-28359	181	13	in	in	ADP
bracis-28359	181	14	cnf	cnf	PROPN
bracis-28359	181	15	.	.	PUNCT
bracis-28359	182	1	therefore	therefore	ADV
bracis-28359	182	2	,	,	PUNCT
bracis-28359	182	3	formula	formula	NOUN
bracis-28359	182	4	q	q	PUNCT
bracis-28359	182	5	below	below	ADV
bracis-28359	182	6	must	must	AUX
bracis-28359	182	7	be	be	AUX
bracis-28359	182	8	converted	convert	VERB
bracis-28359	182	9	to	to	ADP
bracis-28359	182	10	cnf	cnf	PROPN
bracis-28359	182	11	.	.	PUNCT
bracis-28359	183	1	with	with	ADP
bracis-28359	183	2	that	that	PRON
bracis-28359	183	3	,	,	PUNCT
bracis-28359	183	4	finally	finally	ADV
bracis-28359	183	5	,	,	PUNCT
bracis-28359	183	6	we	we	PRON
bracis-28359	183	7	have	have	VERB
bracis-28359	183	8	the	the	DET
bracis-28359	183	9	maxsat	maxsat	ADJ
bracis-28359	183	10	query	query	NOUN
bracis-28359	183	11	that	that	PRON
bracis-28359	183	12	is	be	AUX
bracis-28359	183	13	sent	send	VERB
bracis-28359	183	14	to	to	ADP
bracis-28359	183	15	the	the	DET
bracis-28359	183	16	solver	solver	NOUN
bracis-28359	183	17	.	.	PUNCT
bracis-28359	184	1	$	$	SYM
bracis-28359	184	2	$	$	SYM
bracis-28359	184	3	\begin{aligned	\begin{aligne	VERB
bracis-28359	184	4	}	}	PUNCT
bracis-28359	184	5	q	q	NOUN
bracis-28359	184	6	=	=	PUNCT
bracis-28359	184	7	a	a	DET
bracis-28359	184	8	\wedge	\wedge	PROPN
bracis-28359	184	9	b	b	PROPN
bracis-28359	184	10	\wedge	\wedge	PROPN
bracis-28359	184	11	c	c	PROPN
bracis-28359	184	12	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	184	13	(	(	PUNCT
bracis-28359	184	14	13	13	NUM
bracis-28359	184	15	)	)	PUNCT
bracis-28359	184	16	the	the	DET
bracis-28359	184	17	set	set	NOUN
bracis-28359	184	18	of	of	ADP
bracis-28359	184	19	samples	sample	NOUN
bracis-28359	184	20	\({\textbf	\({\textbf	PROPN
bracis-28359	184	21	{	{	PUNCT
bracis-28359	184	22	x}}\	x}}\	NOUN
bracis-28359	184	23	)	)	PUNCT
bracis-28359	184	24	,	,	PUNCT
bracis-28359	184	25	in	in	ADP
bracis-28359	184	26	imli	imli	NOUN
bracis-28359	184	27	,	,	PUNCT
bracis-28359	184	28	can	can	AUX
bracis-28359	184	29	be	be	AUX
bracis-28359	184	30	divided	divide	VERB
bracis-28359	184	31	into	into	ADP
bracis-28359	184	32	p	p	ADJ
bracis-28359	184	33	partitions	partition	NOUN
bracis-28359	184	34	:	:	PUNCT
bracis-28359	184	35	\({\textbf	\({\textbf	NOUN
bracis-28359	184	36	{	{	PUNCT
bracis-28359	184	37	x}}^1\	x}}^1\	NOUN
bracis-28359	184	38	)	)	PUNCT
bracis-28359	184	39	,	,	PUNCT
bracis-28359	184	40	\({\textbf	\({\textbf	PROPN
bracis-28359	184	41	{	{	PUNCT
bracis-28359	184	42	x}}^2\	x}}^2\	PROPN
bracis-28359	184	43	)	)	PUNCT
bracis-28359	184	44	,	,	PUNCT
bracis-28359	184	45	...	...	PUNCT
bracis-28359	184	46	,	,	PUNCT
bracis-28359	184	47	\({\textbf	\({\textbf	PROPN
bracis-28359	184	48	{	{	PUNCT
bracis-28359	184	49	x}}^p\	x}}^p\	PROPN
bracis-28359	184	50	)	)	PUNCT
bracis-28359	184	51	.	.	PUNCT
bracis-28359	185	1	each	each	DET
bracis-28359	185	2	partition	partition	NOUN
bracis-28359	185	3	,	,	PUNCT
bracis-28359	185	4	but	but	CCONJ
bracis-28359	185	5	the	the	DET
bracis-28359	185	6	last	last	ADJ
bracis-28359	185	7	one	one	NUM
bracis-28359	185	8	,	,	PUNCT
bracis-28359	185	9	contains	contain	VERB
bracis-28359	185	10	the	the	DET
bracis-28359	185	11	same	same	ADJ
bracis-28359	185	12	values	value	NOUN
bracis-28359	185	13	of	of	ADP
bracis-28359	185	14	\(|\mathcal	\(|\mathcal	X
bracis-28359	185	15	{	{	PUNCT
bracis-28359	185	16	e}^-|\	e}^-|\	NOUN
bracis-28359	185	17	)	)	PUNCT
bracis-28359	185	18	and	and	CCONJ
bracis-28359	185	19	\(|\mathcal	\(|\mathcal	X
bracis-28359	185	20	{	{	PUNCT
bracis-28359	185	21	e}^+|\	e}^+|\	NOUN
bracis-28359	185	22	)	)	PUNCT
bracis-28359	185	23	.	.	PUNCT
bracis-28359	186	1	also	also	ADV
bracis-28359	186	2	,	,	PUNCT
bracis-28359	186	3	the	the	DET
bracis-28359	186	4	samples	sample	NOUN
bracis-28359	186	5	are	be	AUX
bracis-28359	186	6	randomly	randomly	ADV
bracis-28359	186	7	distributed	distribute	VERB
bracis-28359	186	8	across	across	ADP
bracis-28359	186	9	the	the	DET
bracis-28359	186	10	partitions	partition	NOUN
bracis-28359	186	11	.	.	PUNCT
bracis-28359	187	1	partitioning	partition	VERB
bracis-28359	187	2	aims	aim	VERB
bracis-28359	187	3	to	to	PART
bracis-28359	187	4	make	make	VERB
bracis-28359	187	5	the	the	DET
bracis-28359	187	6	model	model	NOUN
bracis-28359	187	7	perform	perform	VERB
bracis-28359	187	8	better	well	ADV
bracis-28359	187	9	in	in	ADP
bracis-28359	187	10	generating	generate	VERB
bracis-28359	187	11	the	the	DET
bracis-28359	187	12	set	set	NOUN
bracis-28359	187	13	of	of	ADP
bracis-28359	187	14	rules	rule	NOUN
bracis-28359	187	15	\({\textbf	\({\textbf	PROPN
bracis-28359	187	16	{	{	PUNCT
bracis-28359	187	17	m}}\	m}}\	PROPN
bracis-28359	187	18	)	)	PUNCT
bracis-28359	187	19	.	.	PUNCT
bracis-28359	188	1	thus	thus	ADV
bracis-28359	188	2	,	,	PUNCT
bracis-28359	188	3	the	the	DET
bracis-28359	188	4	conjunction	conjunction	NOUN
bracis-28359	188	5	of	of	ADP
bracis-28359	188	6	clauses	clause	NOUN
bracis-28359	188	7	will	will	AUX
bracis-28359	188	8	be	be	AUX
bracis-28359	188	9	created	create	VERB
bracis-28359	188	10	from	from	ADP
bracis-28359	188	11	each	each	DET
bracis-28359	188	12	partition	partition	NOUN
bracis-28359	188	13	\({\textbf	\({\textbf	PROPN
bracis-28359	188	14	{	{	PUNCT
bracis-28359	188	15	x}}^t\	x}}^t\	PROPN
bracis-28359	188	16	)	)	PUNCT
bracis-28359	188	17	in	in	ADP
bracis-28359	188	18	an	an	DET
bracis-28359	188	19	incremental	incremental	ADJ
bracis-28359	188	20	way	way	NOUN
bracis-28359	188	21	,	,	PUNCT
bracis-28359	188	22	that	that	ADV
bracis-28359	188	23	is	is	ADV
bracis-28359	188	24	,	,	PUNCT
bracis-28359	188	25	the	the	DET
bracis-28359	188	26	set	set	NOUN
bracis-28359	188	27	of	of	ADP
bracis-28359	188	28	rules	rule	NOUN
bracis-28359	188	29	\({\textbf	\({\textbf	PROPN
bracis-28359	188	30	{	{	PUNCT
bracis-28359	188	31	m}}\	m}}\	PROPN
bracis-28359	188	32	)	)	PUNCT
bracis-28359	188	33	obtained	obtain	VERB
bracis-28359	188	34	by	by	ADP
bracis-28359	188	35	the	the	DET
bracis-28359	188	36	current	current	ADJ
bracis-28359	188	37	partition	partition	NOUN
bracis-28359	188	38	will	will	AUX
bracis-28359	188	39	be	be	AUX
bracis-28359	188	40	reused	reuse	VERB
bracis-28359	188	41	for	for	ADP
bracis-28359	188	42	the	the	DET
bracis-28359	188	43	next	next	ADJ
bracis-28359	188	44	partition	partition	NOUN
bracis-28359	188	45	.	.	PUNCT
bracis-28359	189	1	in	in	ADP
bracis-28359	189	2	the	the	DET
bracis-28359	189	3	first	first	ADJ
bracis-28359	189	4	partition	partition	NOUN
bracis-28359	189	5	,	,	PUNCT
bracis-28359	189	6	constraints	constraint	NOUN
bracis-28359	189	7	(	(	PUNCT
bracis-28359	189	8	10	10	NUM
bracis-28359	189	9	)	)	PUNCT
bracis-28359	189	10	,	,	PUNCT
bracis-28359	189	11	(	(	PUNCT
bracis-28359	189	12	11	11	NUM
bracis-28359	189	13	)	)	PUNCT
bracis-28359	189	14	,	,	PUNCT
bracis-28359	189	15	(	(	PUNCT
bracis-28359	189	16	12	12	NUM
bracis-28359	189	17	)	)	PUNCT
bracis-28359	189	18	are	be	AUX
bracis-28359	189	19	created	create	VERB
bracis-28359	189	20	in	in	ADP
bracis-28359	189	21	exactly	exactly	ADV
bracis-28359	189	22	the	the	DET
bracis-28359	189	23	same	same	ADJ
bracis-28359	189	24	way	way	NOUN
bracis-28359	189	25	as	as	SCONJ
bracis-28359	189	26	described	describe	VERB
bracis-28359	189	27	.	.	PUNCT
bracis-28359	190	1	from	from	ADP
bracis-28359	190	2	the	the	DET
bracis-28359	190	3	second	second	ADJ
bracis-28359	190	4	onwards	onward	NOUN
bracis-28359	190	5	,	,	PUNCT
bracis-28359	190	6	(	(	PUNCT
bracis-28359	190	7	11	11	NUM
bracis-28359	190	8	)	)	PUNCT
bracis-28359	190	9	is	be	AUX
bracis-28359	190	10	replaced	replace	VERB
bracis-28359	190	11	by	by	ADP
bracis-28359	190	12	the	the	DET
bracis-28359	190	13	following	follow	VERB
bracis-28359	190	14	constraints	constraint	NOUN
bracis-28359	190	15	:	:	PUNCT
bracis-28359	190	16	$	$	SYM
bracis-28359	190	17	$	$	SYM
bracis-28359	190	18	\begin{aligned	\begin{aligne	VERB
bracis-28359	190	19	}	}	PUNCT
bracis-28359	190	20	b	b	NOUN
bracis-28359	190	21	'	'	PUNCT
bracis-28359	190	22	=	=	NOUN
bracis-28359	190	23	\bigwedge	\bigwedge	VERB
bracis-28359	190	24	_	_	PROPN
bracis-28359	190	25	{	{	PUNCT
bracis-28359	190	26	v	v	ADP
bracis-28359	190	27	\in	\in	PROPN
bracis-28359	190	28	\{1,	\{1,	ADJ
bracis-28359	190	29	...	...	PUNCT
bracis-28359	190	30	,2m\	,2m\	PUNCT
bracis-28359	190	31	}	}	PUNCT
bracis-28359	190	32	\atop	\atop	ADP
bracis-28359	190	33	o	o	NOUN
bracis-28359	190	34	\in	\in	PROPN
bracis-28359	190	35	\{1,	\{1,	ADJ
bracis-28359	190	36	...	...	PUNCT
bracis-28359	190	37	,k\	,k\	PUNCT
bracis-28359	190	38	}	}	PUNCT
bracis-28359	190	39	}	}	PUNCT
bracis-28359	190	40	\left\	\left\	PROPN
bracis-28359	190	41	{	{	PUNCT
bracis-28359	190	42	\begin{array}{ll	\begin{array}{ll	PROPN
bracis-28359	190	43	}	}	PUNCT
bracis-28359	190	44	b_o^v	b_o^v	PUNCT
bracis-28359	190	45	\text	\text	PROPN
bracis-28359	190	46	{	{	PUNCT
bracis-28359	190	47	,	,	PUNCT
bracis-28359	190	48	if	if	SCONJ
bracis-28359	190	49	}	}	PUNCT
bracis-28359	190	50	\	\	NOUN
bracis-28359	190	51	,	,	PUNCT
bracis-28359	190	52	b_o^v	b_o^v	ADP
bracis-28359	190	53	\	\	NOUN
bracis-28359	190	54	,	,	PUNCT
bracis-28359	190	55	\text	\text	ADP
bracis-28359	190	56	{	{	PUNCT
bracis-28359	190	57	is	be	AUX
bracis-28359	190	58	true	true	ADJ
bracis-28359	190	59	in	in	ADP
bracis-28359	190	60	the	the	DET
bracis-28359	190	61	previous	previous	ADJ
bracis-28359	190	62	partition};\\	partition};\\	VERB
bracis-28359	190	63	\lnot	\lnot	PROPN
bracis-28359	190	64	b_o^v	b_o^v	PUNCT
bracis-28359	190	65	\text	\text	ADV
bracis-28359	190	66	{	{	PUNCT
bracis-28359	190	67	,	,	PUNCT
bracis-28359	190	68	otherwise	otherwise	ADV
bracis-28359	190	69	}	}	PUNCT
bracis-28359	190	70	.	.	PUNCT
bracis-28359	191	1	\end{array	\end{array	ADJ
bracis-28359	191	2	}	}	PUNCT
bracis-28359	191	3	\right	\right	PROPN
bracis-28359	191	4	.	.	PROPN
bracis-28359	191	5	,	,	PUNCT
bracis-28359	191	6	w(b	w(b	NOUN
bracis-28359	191	7	'	'	PUNCT
bracis-28359	191	8	)	)	PUNCT
bracis-28359	191	9	=	=	PUNCT
bracis-28359	191	10	1	1	NUM
bracis-28359	191	11	\end{aligned}$$	\end{aligned}$$	ADP
bracis-28359	191	12	(	(	PUNCT
bracis-28359	191	13	14	14	NUM
bracis-28359	191	14	)	)	PUNCT
bracis-28359	191	15	the	the	DET
bracis-28359	191	16	imli	imli	NOUN
bracis-28359	191	17	also	also	ADV
bracis-28359	191	18	has	have	VERB
bracis-28359	191	19	a	a	DET
bracis-28359	191	20	technique	technique	NOUN
bracis-28359	191	21	for	for	ADP
bracis-28359	191	22	reducing	reduce	VERB
bracis-28359	191	23	the	the	DET
bracis-28359	191	24	size	size	NOUN
bracis-28359	191	25	of	of	ADP
bracis-28359	191	26	the	the	DET
bracis-28359	191	27	generated	generate	VERB
bracis-28359	191	28	set	set	NOUN
bracis-28359	191	29	of	of	ADP
bracis-28359	191	30	rules	rule	NOUN
bracis-28359	191	31	.	.	PUNCT
bracis-28359	192	1	the	the	DET
bracis-28359	192	2	technique	technique	NOUN
bracis-28359	192	3	removes	remove	VERB
bracis-28359	192	4	possible	possible	ADJ
bracis-28359	192	5	redundancies	redundancy	NOUN
bracis-28359	192	6	in	in	ADP
bracis-28359	192	7	ordinal	ordinal	ADJ
bracis-28359	192	8	features	feature	NOUN
bracis-28359	192	9	as	as	ADP
bracis-28359	192	10	the	the	DET
bracis-28359	192	11	one	one	NUM
bracis-28359	192	12	in	in	ADP
bracis-28359	192	13	example	example	NOUN
bracis-28359	192	14	5	5	NUM
bracis-28359	192	15	.	.	PUNCT
bracis-28359	193	1	in	in	ADP
bracis-28359	193	2	the	the	DET
bracis-28359	193	3	original	original	ADJ
bracis-28359	193	4	implementation	implementation	NOUN
bracis-28359	193	5	of	of	ADP
bracis-28359	193	6	the	the	DET
bracis-28359	193	7	model	model	NOUN
bracis-28359	193	8	,	,	PUNCT
bracis-28359	193	9	the	the	DET
bracis-28359	193	10	technique	technique	NOUN
bracis-28359	193	11	is	be	AUX
bracis-28359	193	12	applied	apply	VERB
bracis-28359	193	13	at	at	ADP
bracis-28359	193	14	the	the	DET
bracis-28359	193	15	end	end	NOUN
bracis-28359	193	16	of	of	ADP
bracis-28359	193	17	each	each	DET
bracis-28359	193	18	partition	partition	NOUN
bracis-28359	193	19	.	.	PUNCT
bracis-28359	194	1	in	in	ADP
bracis-28359	194	2	our	our	PRON
bracis-28359	194	3	implementation	implementation	NOUN
bracis-28359	194	4	for	for	ADP
bracis-28359	194	5	the	the	DET
bracis-28359	194	6	experiments	experiment	NOUN
bracis-28359	194	7	in	in	ADP
bracis-28359	194	8	sect	sect	NOUN
bracis-28359	194	9	.	.	PUNCT
bracis-28359	194	10	 	 	SPACE
bracis-28359	194	11	5	5	NUM
bracis-28359	194	12	,	,	PUNCT
bracis-28359	194	13	this	this	DET
bracis-28359	194	14	technique	technique	NOUN
bracis-28359	194	15	is	be	AUX
bracis-28359	194	16	applied	apply	VERB
bracis-28359	194	17	only	only	ADV
bracis-28359	194	18	at	at	ADP
bracis-28359	194	19	the	the	DET
bracis-28359	194	20	end	end	NOUN
bracis-28359	194	21	of	of	ADP
bracis-28359	194	22	the	the	DET
bracis-28359	194	23	last	last	ADJ
bracis-28359	194	24	partition	partition	NOUN
bracis-28359	194	25	.	.	PUNCT
bracis-28359	195	1	the	the	DET
bracis-28359	195	2	reason	reason	NOUN
bracis-28359	195	3	for	for	ADP
bracis-28359	195	4	this	this	PRON
bracis-28359	195	5	is	be	AUX
bracis-28359	195	6	training	training	NOUN
bracis-28359	195	7	performance	performance	NOUN
bracis-28359	195	8	.	.	PUNCT
bracis-28359	196	1	example	example	NOUN
bracis-28359	196	2	5	5	NUM
bracis-28359	196	3	let	let	VERB
bracis-28359	196	4	\({\textbf	\({\textbf	PROPN
bracis-28359	196	5	{	{	PUNCT
bracis-28359	196	6	r}}\	r}}\	PROPN
bracis-28359	196	7	)	)	PUNCT
bracis-28359	196	8	be	be	VERB
bracis-28359	196	9	the	the	DET
bracis-28359	196	10	following	follow	VERB
bracis-28359	196	11	set	set	NOUN
bracis-28359	196	12	of	of	ADP
bracis-28359	196	13	rules	rule	NOUN
bracis-28359	196	14	with	with	ADP
bracis-28359	196	15	redundancy	redundancy	NOUN
bracis-28359	196	16	in	in	ADP
bracis-28359	196	17	the	the	DET
bracis-28359	196	18	same	same	ADJ
bracis-28359	196	19	rule	rule	NOUN
bracis-28359	196	20	:	:	PUNCT
bracis-28359	196	21	$	$	SYM
bracis-28359	196	22	$	$	SYM
bracis-28359	196	23	(	(	PUNCT
bracis-28359	196	24	\textit{age}>18	\textit{age}>18	NOUN
bracis-28359	196	25	\wedge	\wedge	PROPN
bracis-28359	196	26	\textit{age}>20	\textit{age}>20	PROPN
bracis-28359	196	27	)	)	PUNCT
bracis-28359	196	28	\vee	\vee	PROPN
bracis-28359	196	29	(	(	PUNCT
bracis-28359	196	30	\textit{height}\le	\textit{height}\le	PROPN
bracis-28359	196	31	2).$$	2).$$	NUM
bracis-28359	196	32	then	then	ADV
bracis-28359	196	33	,	,	PUNCT
bracis-28359	196	34	the	the	DET
bracis-28359	196	35	technique	technique	NOUN
bracis-28359	196	36	removes	remove	VERB
bracis-28359	196	37	the	the	DET
bracis-28359	196	38	redundancy	redundancy	NOUN
bracis-28359	196	39	and	and	CCONJ
bracis-28359	196	40	the	the	DET
bracis-28359	196	41	following	follow	VERB
bracis-28359	196	42	set	set	NOUN
bracis-28359	196	43	of	of	ADP
bracis-28359	196	44	rules	rule	NOUN
bracis-28359	196	45	is	be	AUX
bracis-28359	196	46	obtained	obtain	VERB
bracis-28359	196	47	:	:	PUNCT
bracis-28359	196	48	$	$	SYM
bracis-28359	196	49	$	$	SYM
bracis-28359	196	50	(	(	PUNCT
bracis-28359	196	51	\textit{age}>20	\textit{age}>20	PROPN
bracis-28359	196	52	)	)	PUNCT
bracis-28359	196	53	\vee	\vee	PROPN
bracis-28359	196	54	(	(	PUNCT
bracis-28359	196	55	\textit{height}\le	\textit{height}\le	PROPN
bracis-28359	196	56	2).$$	2).$$	NUM
bracis-28359	196	57	4	4	NUM
bracis-28359	196	58	imlib	imlib	NOUN
bracis-28359	196	59	in	in	ADP
bracis-28359	196	60	this	this	DET
bracis-28359	196	61	section	section	NOUN
bracis-28359	196	62	,	,	PUNCT
bracis-28359	196	63	we	we	PRON
bracis-28359	196	64	will	will	AUX
bracis-28359	196	65	present	present	VERB
bracis-28359	196	66	our	our	PRON
bracis-28359	196	67	method	method	NOUN
bracis-28359	196	68	imlib	imlib	NOUN
bracis-28359	196	69	which	which	PRON
bracis-28359	196	70	is	be	AUX
bracis-28359	196	71	an	an	DET
bracis-28359	196	72	incremental	incremental	ADJ
bracis-28359	196	73	version	version	NOUN
bracis-28359	196	74	of	of	ADP
bracis-28359	196	75	sqfsat	sqfsat	NOUN
bracis-28359	196	76	based	base	VERB
bracis-28359	196	77	on	on	ADP
bracis-28359	196	78	maxsat	maxsat	PROPN
bracis-28359	196	79	.	.	PUNCT
bracis-28359	197	1	imlib	imlib	PROPN
bracis-28359	197	2	also	also	ADV
bracis-28359	197	3	has	have	VERB
bracis-28359	197	4	a	a	DET
bracis-28359	197	5	technique	technique	NOUN
bracis-28359	197	6	for	for	ADP
bracis-28359	197	7	reducing	reduce	VERB
bracis-28359	197	8	the	the	DET
bracis-28359	197	9	size	size	NOUN
bracis-28359	197	10	of	of	ADP
bracis-28359	197	11	the	the	DET
bracis-28359	197	12	generated	generate	VERB
bracis-28359	197	13	set	set	NOUN
bracis-28359	197	14	of	of	ADP
bracis-28359	197	15	rules	rule	NOUN
bracis-28359	197	16	.	.	PUNCT
bracis-28359	198	1	therefore	therefore	ADV
bracis-28359	198	2	,	,	PUNCT
bracis-28359	198	3	our	our	PRON
bracis-28359	198	4	approach	approach	NOUN
bracis-28359	198	5	partitions	partition	VERB
bracis-28359	198	6	the	the	DET
bracis-28359	198	7	set	set	NOUN
bracis-28359	198	8	of	of	ADP
bracis-28359	198	9	samples	sample	NOUN
bracis-28359	198	10	\({\textbf	\({\textbf	PROPN
bracis-28359	198	11	{	{	PUNCT
bracis-28359	198	12	x}}\	x}}\	NOUN
bracis-28359	198	13	)	)	PUNCT
bracis-28359	198	14	.	.	PUNCT
bracis-28359	199	1	moreover	moreover	ADV
bracis-28359	199	2	,	,	PUNCT
bracis-28359	199	3	our	our	PRON
bracis-28359	199	4	method	method	NOUN
bracis-28359	199	5	has	have	VERB
bracis-28359	199	6	one	one	NUM
bracis-28359	199	7	more	more	ADJ
bracis-28359	199	8	constraint	constraint	NOUN
bracis-28359	199	9	and	and	CCONJ
bracis-28359	199	10	weight	weight	NOUN
bracis-28359	199	11	on	on	ADP
bracis-28359	199	12	all	all	DET
bracis-28359	199	13	clauses	clause	NOUN
bracis-28359	199	14	.	.	PUNCT
bracis-28359	200	1	with	with	ADP
bracis-28359	200	2	that	that	PRON
bracis-28359	200	3	,	,	PUNCT
bracis-28359	200	4	our	our	PRON
bracis-28359	200	5	approach	approach	NOUN
bracis-28359	200	6	receives	receive	VERB
bracis-28359	200	7	five	five	NUM
bracis-28359	200	8	input	input	NOUN
bracis-28359	200	9	parameters	parameter	NOUN
bracis-28359	200	10	\({\textbf	\({\textbf	PROPN
bracis-28359	200	11	{	{	PUNCT
bracis-28359	200	12	x}}\	x}}\	PROPN
bracis-28359	200	13	)	)	PUNCT
bracis-28359	200	14	,	,	PUNCT
bracis-28359	200	15	\({\textbf	\({\textbf	PROPN
bracis-28359	200	16	{	{	PUNCT
bracis-28359	200	17	y}}\	y}}\	PROPN
bracis-28359	200	18	)	)	PUNCT
bracis-28359	200	19	,	,	PUNCT
bracis-28359	200	20	k	k	PROPN
bracis-28359	200	21	,	,	PUNCT
bracis-28359	200	22	l	l	NOUN
bracis-28359	200	23	,	,	PUNCT
bracis-28359	200	24	\(\lambda	\(\lambda	NOUN
bracis-28359	200	25	\	\	NOUN
bracis-28359	200	26	)	)	PUNCT
bracis-28359	200	27	and	and	CCONJ
bracis-28359	200	28	tries	try	VERB
bracis-28359	200	29	to	to	PART
bracis-28359	200	30	obtain	obtain	VERB
bracis-28359	200	31	the	the	DET
bracis-28359	200	32	smallest	small	ADJ
bracis-28359	200	33	\({\textbf	\({\textbf	PROPN
bracis-28359	200	34	{	{	PUNCT
bracis-28359	200	35	r}}\	r}}\	PROPN
bracis-28359	200	36	)	)	PUNCT
bracis-28359	200	37	that	that	PRON
bracis-28359	200	38	correctly	correctly	ADV
bracis-28359	200	39	classifies	classify	VERB
bracis-28359	200	40	as	as	ADV
bracis-28359	200	41	many	many	ADJ
bracis-28359	200	42	samples	sample	NOUN
bracis-28359	200	43	as	as	ADP
bracis-28359	200	44	possible	possible	ADJ
bracis-28359	200	45	,	,	PUNCT
bracis-28359	200	46	penalizing	penalize	VERB
bracis-28359	200	47	classification	classification	NOUN
bracis-28359	200	48	errors	error	NOUN
bracis-28359	200	49	with	with	ADP
bracis-28359	200	50	\(\lambda	\(\lambda	NOUN
bracis-28359	200	51	\	\	NOUN
bracis-28359	200	52	)	)	PUNCT
bracis-28359	200	53	,	,	PUNCT
bracis-28359	200	54	that	that	ADV
bracis-28359	200	55	is	is	ADV
bracis-28359	200	56	,	,	PUNCT
bracis-28359	200	57	\(\min	\(\min	PUNCT
bracis-28359	201	1	_	_	PRON
bracis-28359	201	2	{	{	PUNCT
bracis-28359	201	3	{	{	PUNCT
bracis-28359	201	4	\textbf	\textbf	PROPN
bracis-28359	201	5	{	{	PUNCT
bracis-28359	201	6	r	r	NOUN
bracis-28359	201	7	}	}	PUNCT
bracis-28359	201	8	}	}	PUNCT
bracis-28359	201	9	}	}	PUNCT
bracis-28359	201	10	\{|{\textbf	\{|{\textbf	NOUN
bracis-28359	201	11	{	{	PUNCT
bracis-28359	201	12	r}}|	r}}|	NOUN
bracis-28359	201	13	+	+	CCONJ
bracis-28359	201	14	\lambda	\lambda	PROPN
bracis-28359	201	15	|\mathcal	|\mathcal	ADJ
bracis-28359	201	16	{	{	PUNCT
bracis-28359	201	17	e}_r|	e}_r|	PROPN
bracis-28359	201	18	\mid	\mid	ADP
bracis-28359	201	19	\mathcal	\mathcal	PROPN
bracis-28359	201	20	{	{	PUNCT
bracis-28359	201	21	e}_r	e}_r	NUM
bracis-28359	201	22	=	=	SYM
bracis-28359	201	23	\{{\textbf	\{{\textbf	NOUN
bracis-28359	201	24	{	{	PUNCT
bracis-28359	201	25	x}}_i	x}}_i	PROPN
bracis-28359	201	26	\mid	\mid	ADP
bracis-28359	201	27	{	{	PUNCT
bracis-28359	201	28	\textbf	\textbf	PROPN
bracis-28359	201	29	{	{	PUNCT
bracis-28359	201	30	r	r	NOUN
bracis-28359	201	31	}	}	PUNCT
bracis-28359	201	32	}	}	PUNCT
bracis-28359	201	33	(	(	PUNCT
bracis-28359	201	34	{	{	PUNCT
bracis-28359	201	35	\textbf	\textbf	PROPN
bracis-28359	201	36	{	{	PUNCT
bracis-28359	201	37	x}}_i	x}}_i	PROPN
bracis-28359	201	38	)	)	PUNCT
bracis-28359	201	39	\ne	\ne	PROPN
bracis-28359	201	40	y_i\}\}\	y_i\}\}\	NOUN
bracis-28359	201	41	)	)	PUNCT
bracis-28359	201	42	.	.	PUNCT
bracis-28359	202	1	that	that	PRON
bracis-28359	202	2	said	say	VERB
bracis-28359	202	3	,	,	PUNCT
bracis-28359	202	4	below	below	ADV
bracis-28359	202	5	,	,	PUNCT
bracis-28359	202	6	we	we	PRON
bracis-28359	202	7	will	will	AUX
bracis-28359	202	8	show	show	VERB
bracis-28359	202	9	the	the	DET
bracis-28359	202	10	constraints	constraint	NOUN
bracis-28359	202	11	of	of	ADP
bracis-28359	202	12	our	our	PRON
bracis-28359	202	13	approach	approach	NOUN
bracis-28359	202	14	for	for	ADP
bracis-28359	202	15	constructing	construct	VERB
bracis-28359	202	16	maxsat	maxsat	ADJ
bracis-28359	202	17	clauses	clause	NOUN
bracis-28359	202	18	.	.	PUNCT
bracis-28359	203	1	constraints	constraint	NOUN
bracis-28359	203	2	that	that	PRON
bracis-28359	203	3	guarantee	guarantee	VERB
bracis-28359	203	4	that	that	SCONJ
bracis-28359	203	5	exactly	exactly	ADV
bracis-28359	203	6	only	only	ADV
bracis-28359	203	7	one	one	NUM
bracis-28359	203	8	\(u_{o	\(u_{o	NOUN
bracis-28359	203	9	,	,	PUNCT
bracis-28359	203	10	d}^j\	d}^j\	PROPN
bracis-28359	203	11	)	)	PUNCT
bracis-28359	203	12	is	be	AUX
bracis-28359	203	13	true	true	ADJ
bracis-28359	203	14	for	for	ADP
bracis-28359	203	15	the	the	DET
bracis-28359	203	16	dth	dth	ADJ
bracis-28359	203	17	feature	feature	NOUN
bracis-28359	203	18	of	of	ADP
bracis-28359	203	19	the	the	DET
bracis-28359	203	20	rule	rule	NOUN
bracis-28359	203	21	\(r_o\	\(r_o\	NOUN
bracis-28359	203	22	):	):	PUNCT
bracis-28359	203	23	$	$	SYM
bracis-28359	203	24	$	$	SYM
bracis-28359	203	25	\begin{aligned	\begin{aligne	VERB
bracis-28359	203	26	}	}	PUNCT
bracis-28359	203	27	a	a	PRON
bracis-28359	203	28	=	=	PUNCT
bracis-28359	203	29	\bigwedge	\bigwedge	PART
bracis-28359	203	30	_	_	PROPN
bracis-28359	203	31	{	{	PUNCT
bracis-28359	203	32	o	o	X
bracis-28359	203	33	\in	\in	PROPN
bracis-28359	203	34	\{1,	\{1,	ADJ
bracis-28359	203	35	...	...	PUNCT
bracis-28359	203	36	,k\	,k\	PUNCT
bracis-28359	203	37	}	}	PUNCT
bracis-28359	203	38	\atop	\atop	ADP
bracis-28359	203	39	d	d	X
bracis-28359	203	40	\in	\in	PROPN
bracis-28359	203	41	\{1,	\{1,	ADJ
bracis-28359	203	42	...	...	PUNCT
bracis-28359	203	43	,l\	,l\	PUNCT
bracis-28359	203	44	}	}	PUNCT
bracis-28359	203	45	}	}	PUNCT
bracis-28359	203	46	\bigvee	\bigvee	ADP
bracis-28359	203	47	_	_	PUNCT
bracis-28359	203	48	{	{	PUNCT
bracis-28359	203	49	j	j	PROPN
bracis-28359	203	50	\in	\in	PROPN
bracis-28359	203	51	\{1,	\{1,	ADJ
bracis-28359	203	52	...	...	PUNCT
bracis-28359	203	53	,m,*\	,m,*\	PUNCT
bracis-28359	203	54	}	}	PUNCT
bracis-28359	203	55	}	}	PUNCT
bracis-28359	203	56	u_{o	u_{o	PROPN
bracis-28359	203	57	,	,	PUNCT
bracis-28359	203	58	d}^j	d}^j	PROPN
bracis-28359	203	59	,	,	PUNCT
bracis-28359	203	60	w(a	w(a	ADV
bracis-28359	203	61	)	)	PUNCT
bracis-28359	204	1	=	=	SYM
bracis-28359	204	2	\infty	\infty	PROPN
bracis-28359	204	3	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	204	4	(	(	PUNCT
bracis-28359	204	5	15	15	NUM
bracis-28359	204	6	)	)	PUNCT
bracis-28359	204	7	$	$	SYM
bracis-28359	204	8	$	$	SYM
bracis-28359	204	9	\begin{aligned	\begin{aligne	VERB
bracis-28359	204	10	}	}	PUNCT
bracis-28359	204	11	b	b	NOUN
bracis-28359	204	12	=	=	PUNCT
bracis-28359	204	13	\bigwedge	\bigwedge	VERB
bracis-28359	204	14	_	_	PROPN
bracis-28359	204	15	{	{	PUNCT
bracis-28359	204	16	o	o	X
bracis-28359	204	17	\in	\in	PROPN
bracis-28359	204	18	\{1,	\{1,	ADJ
bracis-28359	204	19	...	...	PUNCT
bracis-28359	204	20	,k\	,k\	PUNCT
bracis-28359	204	21	}	}	PUNCT
bracis-28359	204	22	\atop	\atop	ADP
bracis-28359	204	23	{	{	PUNCT
bracis-28359	204	24	d	d	X
bracis-28359	204	25	\in	\in	PROPN
bracis-28359	204	26	\{1,	\{1,	ADJ
bracis-28359	204	27	...	...	PUNCT
bracis-28359	204	28	,l\	,l\	PUNCT
bracis-28359	204	29	}	}	PUNCT
bracis-28359	204	30	\atop	\atop	ADP
bracis-28359	204	31	j	j	PROPN
bracis-28359	204	32	,	,	PUNCT
bracis-28359	204	33	j	j	PROPN
bracis-28359	204	34	'	'	PUNCT
bracis-28359	204	35	\in	\in	PROPN
bracis-28359	204	36	\{1,	\{1,	ADJ
bracis-28359	204	37	...	...	PUNCT
bracis-28359	204	38	,m,*\	,m,*\	PUNCT
bracis-28359	204	39	}	}	PUNCT
bracis-28359	204	40	,	,	PUNCT
bracis-28359	204	41	j	j	PROPN
bracis-28359	204	42	\ne	\ne	PROPN
bracis-28359	204	43	j	j	PROPN
bracis-28359	204	44	'	'	PUNCT
bracis-28359	204	45	}	}	PUNCT
bracis-28359	204	46	}	}	PUNCT
bracis-28359	204	47	\lnot	\lnot	PROPN
bracis-28359	204	48	u_{o	u_{o	NOUN
bracis-28359	204	49	,	,	PUNCT
bracis-28359	204	50	d}^j	d}^j	PROPN
bracis-28359	204	51	\vee	\vee	PROPN
bracis-28359	204	52	\lnot	\lnot	PROPN
bracis-28359	204	53	u_{o	u_{o	PROPN
bracis-28359	204	54	,	,	PUNCT
bracis-28359	204	55	d}^{j	d}^{j	PROPN
bracis-28359	204	56	'	'	NUM
bracis-28359	204	57	}	}	PUNCT
bracis-28359	204	58	,	,	PUNCT
bracis-28359	204	59	w(b	w(b	NOUN
bracis-28359	204	60	)	)	PUNCT
bracis-28359	204	61	=	=	PUNCT
bracis-28359	205	1	\infty	\infty	PROPN
bracis-28359	205	2	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	205	3	(	(	PUNCT
bracis-28359	205	4	16	16	NUM
bracis-28359	205	5	)	)	PUNCT
bracis-28359	205	6	constraints	constraint	NOUN
bracis-28359	205	7	representing	represent	VERB
bracis-28359	205	8	that	that	SCONJ
bracis-28359	205	9	the	the	DET
bracis-28359	205	10	model	model	NOUN
bracis-28359	205	11	will	will	AUX
bracis-28359	205	12	try	try	VERB
bracis-28359	205	13	to	to	PART
bracis-28359	205	14	insert	insert	VERB
bracis-28359	205	15	as	as	ADP
bracis-28359	205	16	few	few	ADJ
bracis-28359	205	17	features	feature	NOUN
bracis-28359	205	18	as	as	ADP
bracis-28359	205	19	possible	possible	ADJ
bracis-28359	205	20	in	in	ADP
bracis-28359	205	21	\({\textbf	\({\textbf	PROPN
bracis-28359	205	22	{	{	PUNCT
bracis-28359	205	23	r}}\	r}}\	PROPN
bracis-28359	205	24	):	):	PUNCT
bracis-28359	205	25	$	$	SYM
bracis-28359	205	26	$	$	SYM
bracis-28359	205	27	\begin{aligned	\begin{aligne	VERB
bracis-28359	205	28	}	}	PUNCT
bracis-28359	205	29	c	c	X
bracis-28359	205	30	=	=	PUNCT
bracis-28359	205	31	\bigwedge	\bigwedge	NOUN
bracis-28359	205	32	_	_	PROPN
bracis-28359	205	33	{	{	PUNCT
bracis-28359	205	34	o	o	X
bracis-28359	205	35	\in	\in	PROPN
bracis-28359	205	36	\{1,	\{1,	ADJ
bracis-28359	205	37	...	...	PUNCT
bracis-28359	205	38	,k\	,k\	PUNCT
bracis-28359	205	39	}	}	PUNCT
bracis-28359	205	40	\atop	\atop	ADP
bracis-28359	205	41	{	{	PUNCT
bracis-28359	205	42	d	d	X
bracis-28359	205	43	\in	\in	PROPN
bracis-28359	205	44	\{1,	\{1,	ADJ
bracis-28359	205	45	...	...	PUNCT
bracis-28359	205	46	,l\	,l\	PUNCT
bracis-28359	205	47	}	}	PUNCT
bracis-28359	205	48	\atop	\atop	ADP
bracis-28359	205	49	j	j	PROPN
bracis-28359	205	50	\in	\in	PROPN
bracis-28359	205	51	\{1,	\{1,	ADV
bracis-28359	205	52	...	...	PUNCT
bracis-28359	205	53	,m\	,m\	PUNCT
bracis-28359	205	54	}	}	PUNCT
bracis-28359	205	55	}	}	PUNCT
bracis-28359	205	56	}	}	PUNCT
bracis-28359	205	57	\lnot	\lnot	PROPN
bracis-28359	205	58	u_{o	u_{o	NOUN
bracis-28359	205	59	,	,	PUNCT
bracis-28359	205	60	d}^j	d}^j	PROPN
bracis-28359	205	61	\wedge	\wedge	PROPN
bracis-28359	205	62	\bigwedge	\bigwedge	PROPN
bracis-28359	205	63	_	_	PROPN
bracis-28359	205	64	{	{	PUNCT
bracis-28359	205	65	o	o	X
bracis-28359	205	66	\in	\in	PROPN
bracis-28359	205	67	\{1,	\{1,	ADJ
bracis-28359	205	68	...	...	PUNCT
bracis-28359	205	69	,k\	,k\	PUNCT
bracis-28359	205	70	}	}	PUNCT
bracis-28359	205	71	\atop	\atop	ADP
bracis-28359	205	72	{	{	PUNCT
bracis-28359	205	73	d	d	X
bracis-28359	205	74	\in	\in	PROPN
bracis-28359	205	75	\{1,	\{1,	ADJ
bracis-28359	205	76	...	...	PUNCT
bracis-28359	205	77	,l\	,l\	PUNCT
bracis-28359	205	78	}	}	PUNCT
bracis-28359	205	79	}	}	PUNCT
bracis-28359	205	80	}	}	PUNCT
bracis-28359	205	81	u_{o	u_{o	NOUN
bracis-28359	205	82	,	,	PUNCT
bracis-28359	205	83	d}^	d}^	ADV
bracis-28359	205	84	*	*	SYM
bracis-28359	205	85	,	,	PUNCT
bracis-28359	205	86	w(c	w(c	ADJ
bracis-28359	205	87	)	)	PUNCT
bracis-28359	205	88	=	=	SYM
bracis-28359	205	89	1	1	NUM
bracis-28359	205	90	\end{aligned}$$	\end{aligned}$$	ADP
bracis-28359	205	91	(	(	PUNCT
bracis-28359	205	92	17	17	NUM
bracis-28359	205	93	)	)	PUNCT
bracis-28359	205	94	conjunction	conjunction	NOUN
bracis-28359	205	95	of	of	ADP
bracis-28359	205	96	clauses	clause	NOUN
bracis-28359	205	97	that	that	PRON
bracis-28359	205	98	guarantees	guarantee	VERB
bracis-28359	205	99	that	that	SCONJ
bracis-28359	205	100	each	each	DET
bracis-28359	205	101	rule	rule	NOUN
bracis-28359	205	102	has	have	VERB
bracis-28359	205	103	at	at	ADV
bracis-28359	205	104	least	least	ADV
bracis-28359	205	105	one	one	NUM
bracis-28359	205	106	feature	feature	NOUN
bracis-28359	205	107	:	:	PUNCT
bracis-28359	205	108	$	$	SYM
bracis-28359	205	109	$	$	SYM
bracis-28359	205	110	\begin{aligned	\begin{aligne	VERB
bracis-28359	205	111	}	}	PUNCT
bracis-28359	205	112	d	d	NOUN
bracis-28359	205	113	=	=	PUNCT
bracis-28359	205	114	\bigwedge	\bigwedge	NOUN
bracis-28359	205	115	_	_	PROPN
bracis-28359	205	116	{	{	PUNCT
bracis-28359	205	117	o	o	X
bracis-28359	205	118	\in	\in	PROPN
bracis-28359	205	119	\{1,	\{1,	ADJ
bracis-28359	205	120	...	...	PUNCT
bracis-28359	205	121	,k\	,k\	PUNCT
bracis-28359	205	122	}	}	PUNCT
bracis-28359	205	123	}	}	PUNCT
bracis-28359	205	124	\bigvee	\bigvee	ADP
bracis-28359	205	125	_	_	PUNCT
bracis-28359	205	126	{	{	PUNCT
bracis-28359	205	127	d	d	X
bracis-28359	205	128	\in	\in	PROPN
bracis-28359	205	129	\{1,	\{1,	ADJ
bracis-28359	205	130	...	...	PUNCT
bracis-28359	205	131	,l\	,l\	PUNCT
bracis-28359	205	132	}	}	PUNCT
bracis-28359	205	133	}	}	PUNCT
bracis-28359	205	134	\lnot	\lnot	PROPN
bracis-28359	205	135	u_{o	u_{o	NOUN
bracis-28359	205	136	,	,	PUNCT
bracis-28359	205	137	d}^	d}^	ADV
bracis-28359	205	138	*	*	SYM
bracis-28359	205	139	,	,	PUNCT
bracis-28359	205	140	w(d	w(d	ADJ
bracis-28359	205	141	)	)	PUNCT
bracis-28359	205	142	=	=	SYM
bracis-28359	206	1	\infty	\infty	PROPN
bracis-28359	206	2	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	206	3	(	(	PUNCT
bracis-28359	206	4	18	18	NUM
bracis-28359	206	5	)	)	PUNCT
bracis-28359	206	6	the	the	DET
bracis-28359	206	7	following	follow	VERB
bracis-28359	206	8	conjunction	conjunction	NOUN
bracis-28359	206	9	of	of	ADP
bracis-28359	206	10	formulas	formula	NOUN
bracis-28359	206	11	ensures	ensure	VERB
bracis-28359	206	12	that	that	SCONJ
bracis-28359	206	13	\(e_{o	\(e_{o	NOUN
bracis-28359	206	14	,	,	PUNCT
bracis-28359	206	15	d	d	NOUN
bracis-28359	206	16	,	,	PUNCT
bracis-28359	206	17	i}\	i}\	NUM
bracis-28359	206	18	)	)	PUNCT
bracis-28359	206	19	is	be	AUX
bracis-28359	206	20	true	true	ADJ
bracis-28359	206	21	if	if	SCONJ
bracis-28359	206	22	the	the	DET
bracis-28359	206	23	jth	jth	PROPN
bracis-28359	206	24	feature	feature	NOUN
bracis-28359	206	25	label	label	NOUN
bracis-28359	206	26	in	in	ADP
bracis-28359	206	27	the	the	DET
bracis-28359	206	28	oth	oth	PROPN
bracis-28359	206	29	rule	rule	NOUN
bracis-28359	206	30	contributes	contribute	VERB
bracis-28359	206	31	to	to	PART
bracis-28359	206	32	correctly	correctly	ADV
bracis-28359	206	33	classify	classify	VERB
bracis-28359	206	34	sample	sample	NOUN
bracis-28359	206	35	\({\textbf	\({\textbf	PROPN
bracis-28359	206	36	{	{	PUNCT
bracis-28359	206	37	x}}_i\	x}}_i\	PROPN
bracis-28359	206	38	):	):	PUNCT
bracis-28359	206	39	$	$	SYM
bracis-28359	206	40	$	$	SYM
bracis-28359	206	41	\begin{aligned	\begin{aligne	VERB
bracis-28359	206	42	}	}	PUNCT
bracis-28359	206	43	e	e	X
bracis-28359	206	44	=	=	PUNCT
bracis-28359	206	45	\bigwedge	\bigwedge	VERB
bracis-28359	206	46	_	_	PROPN
bracis-28359	206	47	{	{	PUNCT
bracis-28359	206	48	o	o	X
bracis-28359	206	49	\in	\in	PROPN
bracis-28359	206	50	\{1,	\{1,	ADJ
bracis-28359	206	51	...	...	PUNCT
bracis-28359	206	52	,k\	,k\	PUNCT
bracis-28359	206	53	}	}	PUNCT
bracis-28359	206	54	\atop	\atop	ADP
bracis-28359	206	55	{	{	PUNCT
bracis-28359	206	56	d	d	X
bracis-28359	206	57	\in	\in	PROPN
bracis-28359	206	58	\{1,	\{1,	ADJ
bracis-28359	206	59	...	...	PUNCT
bracis-28359	206	60	,l\	,l\	PUNCT
bracis-28359	206	61	}	}	PUNCT
bracis-28359	206	62	\atop	\atop	ADP
bracis-28359	206	63	{	{	PUNCT
bracis-28359	206	64	j	j	PROPN
bracis-28359	206	65	\in	\in	PROPN
bracis-28359	206	66	\{1,	\{1,	ADV
bracis-28359	206	67	...	...	PUNCT
bracis-28359	206	68	,m\	,m\	PUNCT
bracis-28359	206	69	}	}	PUNCT
bracis-28359	206	70	\atop	\atop	ADP
bracis-28359	206	71	i	i	PRON
bracis-28359	206	72	\in	\in	VERB
bracis-28359	206	73	\{1,	\{1,	ADV
bracis-28359	206	74	...	...	PUNCT
bracis-28359	206	75	,n\	,n\	PUNCT
bracis-28359	206	76	}	}	PUNCT
bracis-28359	206	77	}	}	PUNCT
bracis-28359	206	78	}	}	PUNCT
bracis-28359	206	79	}	}	PUNCT
bracis-28359	206	80	u_{o	u_{o	NOUN
bracis-28359	206	81	,	,	PUNCT
bracis-28359	206	82	d}^j	d}^j	PROPN
bracis-28359	206	83	\rightarrow	\rightarrow	PROPN
bracis-28359	206	84	(	(	PUNCT
bracis-28359	206	85	p_{o	p_{o	ADV
bracis-28359	206	86	,	,	PUNCT
bracis-28359	206	87	d	d	NOUN
bracis-28359	206	88	}	}	PUNCT
bracis-28359	206	89	\leftrightarrow	\leftrightarrow	PROPN
bracis-28359	206	90	s_{o	s_{o	PROPN
bracis-28359	206	91	,	,	PUNCT
bracis-28359	206	92	d	d	PROPN
bracis-28359	206	93	,	,	PUNCT
bracis-28359	206	94	i}^j	i}^j	PROPN
bracis-28359	206	95	)	)	PUNCT
bracis-28359	206	96	,	,	PUNCT
bracis-28359	206	97	w(e	w(e	PROPN
bracis-28359	206	98	)	)	PUNCT
bracis-28359	206	99	=	=	PUNCT
bracis-28359	207	1	\infty	\infty	PROPN
bracis-28359	207	2	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	207	3	(	(	PUNCT
bracis-28359	207	4	19	19	NUM
bracis-28359	207	5	)	)	PUNCT
bracis-28359	207	6	conjunction	conjunction	NOUN
bracis-28359	207	7	of	of	ADP
bracis-28359	207	8	formulas	formula	NOUN
bracis-28359	207	9	guaranteeing	guarantee	VERB
bracis-28359	207	10	that	that	SCONJ
bracis-28359	207	11	the	the	DET
bracis-28359	207	12	classification	classification	NOUN
bracis-28359	207	13	of	of	ADP
bracis-28359	207	14	a	a	DET
bracis-28359	207	15	specific	specific	ADJ
bracis-28359	207	16	rule	rule	NOUN
bracis-28359	207	17	will	will	AUX
bracis-28359	207	18	not	not	PART
bracis-28359	207	19	be	be	AUX
bracis-28359	207	20	interfered	interfere	VERB
bracis-28359	207	21	by	by	ADP
bracis-28359	207	22	skipped	skip	VERB
bracis-28359	207	23	features	feature	NOUN
bracis-28359	207	24	in	in	ADP
bracis-28359	207	25	the	the	DET
bracis-28359	207	26	rule	rule	NOUN
bracis-28359	207	27	:	:	PUNCT
bracis-28359	207	28	$	$	SYM
bracis-28359	207	29	$	$	SYM
bracis-28359	207	30	\begin{aligned	\begin{aligne	VERB
bracis-28359	207	31	}	}	PUNCT
bracis-28359	207	32	f	f	NOUN
bracis-28359	208	1	=	=	PUNCT
bracis-28359	208	2	\bigwedge	\bigwedge	PROPN
bracis-28359	208	3	_	_	PROPN
bracis-28359	208	4	{	{	PUNCT
bracis-28359	208	5	o	o	X
bracis-28359	208	6	\in	\in	PROPN
bracis-28359	208	7	\{1,	\{1,	ADJ
bracis-28359	208	8	...	...	PUNCT
bracis-28359	208	9	,k\	,k\	PUNCT
bracis-28359	208	10	}	}	PUNCT
bracis-28359	208	11	\atop	\atop	ADP
bracis-28359	208	12	{	{	PUNCT
bracis-28359	208	13	d	d	X
bracis-28359	208	14	\in	\in	PROPN
bracis-28359	208	15	\{1,	\{1,	ADJ
bracis-28359	208	16	...	...	PUNCT
bracis-28359	208	17	,l\	,l\	PUNCT
bracis-28359	208	18	}	}	PUNCT
bracis-28359	208	19	\atop	\atop	ADP
bracis-28359	208	20	i	i	PRON
bracis-28359	208	21	\in	\in	VERB
bracis-28359	208	22	\{1,	\{1,	ADV
bracis-28359	208	23	...	...	PUNCT
bracis-28359	208	24	,n\	,n\	PUNCT
bracis-28359	208	25	}	}	PUNCT
bracis-28359	208	26	}	}	PUNCT
bracis-28359	208	27	}	}	PUNCT
bracis-28359	208	28	u_{o	u_{o	NOUN
bracis-28359	208	29	,	,	PUNCT
bracis-28359	208	30	d}^	d}^	VERB
bracis-28359	208	31	*	*	PUNCT
bracis-28359	208	32	\rightarrow	\rightarrow	PROPN
bracis-28359	208	33	e_{o	e_{o	PROPN
bracis-28359	208	34	,	,	PUNCT
bracis-28359	208	35	d	d	NOUN
bracis-28359	208	36	,	,	PUNCT
bracis-28359	208	37	i	i	NOUN
bracis-28359	208	38	}	}	PUNCT
bracis-28359	208	39	,	,	PUNCT
bracis-28359	208	40	w(f	w(f	ADJ
bracis-28359	208	41	)	)	PUNCT
bracis-28359	208	42	=	=	SYM
bracis-28359	209	1	\infty	\infty	PROPN
bracis-28359	209	2	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	209	3	(	(	PUNCT
bracis-28359	209	4	20	20	NUM
bracis-28359	209	5	)	)	PUNCT
bracis-28359	209	6	conjunction	conjunction	NOUN
bracis-28359	209	7	of	of	ADP
bracis-28359	209	8	formulas	formula	NOUN
bracis-28359	209	9	indicating	indicate	VERB
bracis-28359	209	10	that	that	SCONJ
bracis-28359	209	11	the	the	DET
bracis-28359	209	12	model	model	NOUN
bracis-28359	209	13	assigns	assign	NOUN
bracis-28359	209	14	true	true	ADJ
bracis-28359	209	15	to	to	ADP
bracis-28359	209	16	\(z_{o	\(z_{o	X
bracis-28359	209	17	,	,	PUNCT
bracis-28359	209	18	i}\	i}\	NUM
bracis-28359	209	19	)	)	PUNCT
bracis-28359	209	20	if	if	SCONJ
bracis-28359	209	21	all	all	DET
bracis-28359	209	22	the	the	DET
bracis-28359	209	23	features	feature	NOUN
bracis-28359	209	24	of	of	ADP
bracis-28359	209	25	rule	rule	NOUN
bracis-28359	209	26	\(r_o\	\(r_o\	NOUN
bracis-28359	209	27	)	)	PUNCT
bracis-28359	209	28	support	support	VERB
bracis-28359	209	29	the	the	DET
bracis-28359	209	30	correct	correct	ADJ
bracis-28359	209	31	classification	classification	NOUN
bracis-28359	209	32	of	of	ADP
bracis-28359	209	33	sample	sample	NOUN
bracis-28359	209	34	\({\textbf	\({\textbf	PROPN
bracis-28359	209	35	{	{	PUNCT
bracis-28359	209	36	x}}_i\	x}}_i\	PROPN
bracis-28359	209	37	):	):	PUNCT
bracis-28359	209	38	$	$	SYM
bracis-28359	209	39	$	$	SYM
bracis-28359	209	40	\begin{aligned	\begin{aligne	VERB
bracis-28359	209	41	}	}	PUNCT
bracis-28359	209	42	g	g	NOUN
bracis-28359	209	43	=	=	PUNCT
bracis-28359	209	44	\bigwedge	\bigwedge	PROPN
bracis-28359	209	45	_	_	PROPN
bracis-28359	209	46	{	{	PUNCT
bracis-28359	209	47	o	o	X
bracis-28359	209	48	\in	\in	PROPN
bracis-28359	209	49	\{1,	\{1,	ADJ
bracis-28359	209	50	...	...	PUNCT
bracis-28359	209	51	,k\	,k\	PUNCT
bracis-28359	209	52	}	}	PUNCT
bracis-28359	209	53	}	}	PUNCT
bracis-28359	209	54	\bigwedge	\bigwedge	VERB
bracis-28359	209	55	_	_	NOUN
bracis-28359	209	56	{	{	PUNCT
bracis-28359	209	57	i	i	PROPN
bracis-28359	209	58	\in	\in	VERB
bracis-28359	209	59	\{1,	\{1,	ADV
bracis-28359	209	60	...	...	PUNCT
bracis-28359	209	61	,n\	,n\	PUNCT
bracis-28359	209	62	}	}	PUNCT
bracis-28359	209	63	}	}	PUNCT
bracis-28359	209	64	z_{o	z_{o	PROPN
bracis-28359	209	65	,	,	PUNCT
bracis-28359	209	66	i	i	PRON
bracis-28359	209	67	}	}	PUNCT
bracis-28359	209	68	\leftrightarrow	\leftrightarrow	PROPN
bracis-28359	209	69	\bigwedge	\bigwedge	NOUN
bracis-28359	209	70	_	_	PUNCT
bracis-28359	209	71	{	{	PUNCT
bracis-28359	209	72	d	d	X
bracis-28359	209	73	\in	\in	PROPN
bracis-28359	209	74	\{1,	\{1,	ADJ
bracis-28359	209	75	...	...	PUNCT
bracis-28359	209	76	,l\	,l\	PUNCT
bracis-28359	209	77	}	}	PUNCT
bracis-28359	209	78	}	}	PUNCT
bracis-28359	209	79	e_{o	e_{o	NOUN
bracis-28359	209	80	,	,	PUNCT
bracis-28359	209	81	d	d	NOUN
bracis-28359	209	82	,	,	PUNCT
bracis-28359	209	83	i	i	PRON
bracis-28359	209	84	}	}	PUNCT
bracis-28359	209	85	,	,	PUNCT
bracis-28359	209	86	w(g	w(g	PROPN
bracis-28359	209	87	)	)	PUNCT
bracis-28359	209	88	=	=	SYM
bracis-28359	210	1	\infty	\infty	PROPN
bracis-28359	210	2	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	210	3	(	(	PUNCT
bracis-28359	210	4	21	21	NUM
bracis-28359	210	5	)	)	PUNCT
bracis-28359	210	6	conjunction	conjunction	NOUN
bracis-28359	210	7	of	of	ADP
bracis-28359	210	8	clauses	clause	NOUN
bracis-28359	210	9	designed	design	VERB
bracis-28359	210	10	to	to	PART
bracis-28359	210	11	generate	generate	VERB
bracis-28359	210	12	a	a	DET
bracis-28359	210	13	set	set	NOUN
bracis-28359	210	14	of	of	ADP
bracis-28359	210	15	rules	rule	NOUN
bracis-28359	210	16	\({\textbf	\({\textbf	PROPN
bracis-28359	210	17	{	{	PUNCT
bracis-28359	210	18	r}}\	r}}\	PROPN
bracis-28359	210	19	)	)	PUNCT
bracis-28359	210	20	that	that	PRON
bracis-28359	210	21	correctly	correctly	ADV
bracis-28359	210	22	classify	classify	VERB
bracis-28359	210	23	as	as	ADP
bracis-28359	210	24	many	many	ADJ
bracis-28359	210	25	samples	sample	NOUN
bracis-28359	210	26	as	as	ADP
bracis-28359	210	27	possible	possible	ADJ
bracis-28359	210	28	:	:	PUNCT
bracis-28359	210	29	$	$	SYM
bracis-28359	210	30	$	$	SYM
bracis-28359	210	31	\begin{aligned	\begin{aligne	VERB
bracis-28359	210	32	}	}	PUNCT
bracis-28359	210	33	h	h	NOUN
bracis-28359	210	34	=	=	PUNCT
bracis-28359	210	35	\bigwedge	\bigwedge	PROPN
bracis-28359	210	36	_	_	PROPN
bracis-28359	210	37	{	{	PUNCT
bracis-28359	210	38	i	i	PROPN
bracis-28359	210	39	\in	\in	PROPN
bracis-28359	210	40	\mathcal	\mathcal	PROPN
bracis-28359	210	41	{	{	PUNCT
bracis-28359	210	42	e}^+	e}^+	NOUN
bracis-28359	210	43	}	}	PUNCT
bracis-28359	210	44	\bigvee	\bigvee	ADP
bracis-28359	210	45	_	_	PUNCT
bracis-28359	210	46	{	{	PUNCT
bracis-28359	210	47	o	o	X
bracis-28359	210	48	\in	\in	PROPN
bracis-28359	210	49	\{1,	\{1,	ADJ
bracis-28359	210	50	...	...	PUNCT
bracis-28359	210	51	,k\	,k\	PUNCT
bracis-28359	210	52	}	}	PUNCT
bracis-28359	210	53	}	}	PUNCT
bracis-28359	210	54	z_{o	z_{o	PROPN
bracis-28359	210	55	,	,	PUNCT
bracis-28359	210	56	i	i	PRON
bracis-28359	210	57	}	}	PUNCT
bracis-28359	210	58	,	,	PUNCT
bracis-28359	210	59	w(h	w(h	PROPN
bracis-28359	210	60	)	)	PUNCT
bracis-28359	210	61	=	=	PUNCT
bracis-28359	211	1	\lambda	\lambda	PROPN
bracis-28359	211	2	\end{aligned}$$	\end{aligned}$$	NOUN
bracis-28359	211	3	(	(	PUNCT
bracis-28359	211	4	22	22	NUM
bracis-28359	211	5	)	)	PUNCT
bracis-28359	211	6	$	$	SYM
bracis-28359	211	7	$	$	SYM
bracis-28359	211	8	\begin{aligned	\begin{aligne	VERB
bracis-28359	211	9	}	}	PUNCT
bracis-28359	211	10	i	i	PRON
bracis-28359	211	11	=	=	PUNCT
bracis-28359	211	12	\bigwedge	\bigwedge	NOUN
bracis-28359	211	13	_	_	PROPN
bracis-28359	211	14	{	{	PUNCT
bracis-28359	211	15	i	i	PROPN
bracis-28359	211	16	\in	\in	PROPN
bracis-28359	211	17	\mathcal	\mathcal	PROPN
bracis-28359	211	18	{	{	PUNCT
bracis-28359	211	19	e}^-	e}^-	NOUN
bracis-28359	211	20	}	}	PUNCT
bracis-28359	211	21	\bigwedge	\bigwedge	VERB
bracis-28359	211	22	_	_	PROPN
bracis-28359	211	23	{	{	PUNCT
bracis-28359	211	24	o	o	X
bracis-28359	211	25	\in	\in	PROPN
bracis-28359	211	26	\{1,	\{1,	ADJ
bracis-28359	211	27	...	...	PUNCT
bracis-28359	211	28	,k\	,k\	PUNCT
bracis-28359	211	29	}	}	PUNCT
bracis-28359	211	30	}	}	PUNCT
bracis-28359	211	31	\lnot	\lnot	PROPN
bracis-28359	211	32	z_{o	z_{o	PROPN
bracis-28359	211	33	,	,	PUNCT
bracis-28359	211	34	i	i	PROPN
bracis-28359	211	35	}	}	PUNCT
bracis-28359	211	36	,	,	PUNCT
bracis-28359	211	37	w(i	w(i	PROPN
bracis-28359	211	38	)	)	PUNCT
bracis-28359	212	1	=	=	PUNCT
bracis-28359	212	2	\lambda	\lambda	PROPN
bracis-28359	212	3	\end{aligned}$$	\end{aligned}$$	NOUN
bracis-28359	212	4	(	(	PUNCT
bracis-28359	212	5	23	23	NUM
bracis-28359	212	6	)	)	PUNCT
bracis-28359	212	7	finally	finally	ADV
bracis-28359	212	8	,	,	PUNCT
bracis-28359	212	9	after	after	ADP
bracis-28359	212	10	converting	convert	VERB
bracis-28359	212	11	formula	formula	NOUN
bracis-28359	212	12	q	q	NOUN
bracis-28359	212	13	below	below	ADV
bracis-28359	212	14	to	to	ADP
bracis-28359	212	15	cnf	cnf	PROPN
bracis-28359	212	16	,	,	PUNCT
bracis-28359	212	17	we	we	PRON
bracis-28359	212	18	have	have	VERB
bracis-28359	212	19	the	the	DET
bracis-28359	212	20	maxsat	maxsat	ADJ
bracis-28359	212	21	query	query	NOUN
bracis-28359	212	22	that	that	PRON
bracis-28359	212	23	is	be	AUX
bracis-28359	212	24	sent	send	VERB
bracis-28359	212	25	to	to	ADP
bracis-28359	212	26	the	the	DET
bracis-28359	212	27	solver	solver	NOUN
bracis-28359	212	28	.	.	PUNCT
bracis-28359	213	1	$	$	SYM
bracis-28359	213	2	$	$	SYM
bracis-28359	213	3	\begin{aligned	\begin{aligne	VERB
bracis-28359	213	4	}	}	PUNCT
bracis-28359	213	5	q	q	NOUN
bracis-28359	214	1	=	=	PUNCT
bracis-28359	214	2	a	a	DET
bracis-28359	214	3	\wedge	\wedge	PROPN
bracis-28359	214	4	b	b	PROPN
bracis-28359	214	5	\wedge	\wedge	PROPN
bracis-28359	214	6	c	c	PROPN
bracis-28359	214	7	\wedge	\wedge	PROPN
bracis-28359	214	8	d	d	PROPN
bracis-28359	214	9	\wedge	\wedge	PROPN
bracis-28359	214	10	e	e	PROPN
bracis-28359	214	11	\wedge	\wedge	PROPN
bracis-28359	214	12	f	f	PROPN
bracis-28359	214	13	\wedge	\wedge	PROPN
bracis-28359	214	14	g	g	PROPN
bracis-28359	214	15	\wedge	\wedge	PROPN
bracis-28359	214	16	h	h	NOUN
bracis-28359	214	17	\wedge	\wedge	PROPN
bracis-28359	214	18	i	i	PRON
bracis-28359	214	19	\end{aligned}$$	\end{aligned}$$	X
bracis-28359	214	20	(	(	PUNCT
bracis-28359	214	21	24	24	NUM
bracis-28359	214	22	)	)	PUNCT
bracis-28359	214	23	imlib	imlib	NOUN
bracis-28359	214	24	can	can	AUX
bracis-28359	214	25	also	also	ADV
bracis-28359	214	26	partition	partition	VERB
bracis-28359	214	27	the	the	DET
bracis-28359	214	28	set	set	NOUN
bracis-28359	214	29	of	of	ADP
bracis-28359	214	30	samples	sample	NOUN
bracis-28359	214	31	\({\textbf	\({\textbf	PROPN
bracis-28359	214	32	{	{	PUNCT
bracis-28359	214	33	x}}\	x}}\	NOUN
bracis-28359	214	34	)	)	PUNCT
bracis-28359	214	35	in	in	ADP
bracis-28359	214	36	the	the	DET
bracis-28359	214	37	same	same	ADJ
bracis-28359	214	38	way	way	NOUN
bracis-28359	214	39	imli	imli	ADV
bracis-28359	214	40	.	.	PUNCT
bracis-28359	215	1	therefore	therefore	ADV
bracis-28359	215	2	,	,	PUNCT
bracis-28359	215	3	all	all	DET
bracis-28359	215	4	constraints	constraint	NOUN
bracis-28359	215	5	described	describe	VERB
bracis-28359	215	6	above	above	ADV
bracis-28359	215	7	are	be	AUX
bracis-28359	215	8	applied	apply	VERB
bracis-28359	215	9	in	in	ADP
bracis-28359	215	10	the	the	DET
bracis-28359	215	11	first	first	ADJ
bracis-28359	215	12	partition	partition	NOUN
bracis-28359	215	13	.	.	PUNCT
bracis-28359	216	1	starting	start	VERB
bracis-28359	216	2	from	from	ADP
bracis-28359	216	3	the	the	DET
bracis-28359	216	4	second	second	ADJ
bracis-28359	216	5	partition	partition	NOUN
bracis-28359	216	6	,	,	PUNCT
bracis-28359	216	7	the	the	DET
bracis-28359	216	8	constraints	constraint	NOUN
bracis-28359	216	9	in	in	ADP
bracis-28359	216	10	(	(	PUNCT
bracis-28359	216	11	17	17	NUM
bracis-28359	216	12	)	)	PUNCT
bracis-28359	216	13	are	be	AUX
bracis-28359	216	14	replaced	replace	VERB
bracis-28359	216	15	by	by	ADP
bracis-28359	216	16	the	the	DET
bracis-28359	216	17	following	follow	VERB
bracis-28359	216	18	constraints	constraint	NOUN
bracis-28359	216	19	:	:	PUNCT
bracis-28359	216	20	$	$	SYM
bracis-28359	216	21	$	$	SYM
bracis-28359	216	22	\begin{aligned	\begin{aligne	VERB
bracis-28359	216	23	}	}	PUNCT
bracis-28359	216	24	c	c	NOUN
bracis-28359	216	25	'	'	PUNCT
bracis-28359	216	26	=	=	SYM
bracis-28359	216	27	\bigwedge	\bigwedge	VERB
bracis-28359	216	28	_	_	PROPN
bracis-28359	216	29	{	{	PUNCT
bracis-28359	216	30	o	o	X
bracis-28359	216	31	\in	\in	PROPN
bracis-28359	216	32	\{1,	\{1,	ADJ
bracis-28359	216	33	...	...	PUNCT
bracis-28359	216	34	,k\	,k\	PUNCT
bracis-28359	216	35	}	}	PUNCT
bracis-28359	216	36	\atop	\atop	ADP
bracis-28359	216	37	{	{	PUNCT
bracis-28359	216	38	d	d	X
bracis-28359	216	39	\in	\in	PROPN
bracis-28359	216	40	\{1,	\{1,	ADJ
bracis-28359	216	41	...	...	PUNCT
bracis-28359	216	42	,l\	,l\	PUNCT
bracis-28359	216	43	}	}	PUNCT
bracis-28359	216	44	\atop	\atop	ADP
bracis-28359	216	45	j	j	PROPN
bracis-28359	216	46	\in	\in	PROPN
bracis-28359	216	47	\{1,	\{1,	ADJ
bracis-28359	216	48	...	...	PUNCT
bracis-28359	216	49	,m,*\	,m,*\	PUNCT
bracis-28359	216	50	}	}	PUNCT
bracis-28359	216	51	}	}	PUNCT
bracis-28359	216	52	}	}	PUNCT
bracis-28359	216	53	\left\	\left\	PROPN
bracis-28359	216	54	{	{	PUNCT
bracis-28359	216	55	\begin{array}{ll	\begin{array}{ll	PROPN
bracis-28359	216	56	}	}	PUNCT
bracis-28359	216	57	u_{o	u_{o	NOUN
bracis-28359	216	58	,	,	PUNCT
bracis-28359	216	59	d}^j	d}^j	PROPN
bracis-28359	216	60	\text	\text	NOUN
bracis-28359	216	61	{	{	PUNCT
bracis-28359	216	62	,	,	PUNCT
bracis-28359	216	63	if	if	SCONJ
bracis-28359	216	64	}	}	PUNCT
bracis-28359	216	65	\	\	PROPN
bracis-28359	216	66	,	,	PUNCT
bracis-28359	216	67	u_{o	u_{o	NOUN
bracis-28359	216	68	,	,	PUNCT
bracis-28359	216	69	d}^j	d}^j	PROPN
bracis-28359	216	70	\	\	PROPN
bracis-28359	216	71	,	,	PUNCT
bracis-28359	216	72	\text	\text	ADP
bracis-28359	216	73	{	{	PUNCT
bracis-28359	216	74	is	be	AUX
bracis-28359	216	75	true	true	ADJ
bracis-28359	216	76	in	in	ADP
bracis-28359	216	77	the	the	DET
bracis-28359	216	78	previous}\\	previous}\\	NOUN
bracis-28359	216	79	{	{	PUNCT
bracis-28359	216	80	partition};\\	partition};\\	NOUN
bracis-28359	216	81	\lnot	\lnot	PROPN
bracis-28359	216	82	u_{o	u_{o	NOUN
bracis-28359	216	83	,	,	PUNCT
bracis-28359	216	84	d}^j	d}^j	PROPN
bracis-28359	216	85	\text	\text	PROPN
bracis-28359	216	86	{	{	PUNCT
bracis-28359	216	87	,	,	PUNCT
bracis-28359	216	88	otherwise	otherwise	ADV
bracis-28359	216	89	}	}	PUNCT
bracis-28359	216	90	.	.	PUNCT
bracis-28359	217	1	\end{array	\end{array	ADJ
bracis-28359	217	2	}	}	PUNCT
bracis-28359	217	3	\right	\right	PROPN
bracis-28359	217	4	.	.	PROPN
bracis-28359	217	5	,	,	PUNCT
bracis-28359	217	6	w(c	w(c	PROPN
bracis-28359	217	7	'	'	PUNCT
bracis-28359	217	8	)	)	PUNCT
bracis-28359	217	9	=	=	SYM
bracis-28359	217	10	1	1	NUM
bracis-28359	217	11	\end{aligned}$$	\end{aligned}$$	ADP
bracis-28359	217	12	(	(	PUNCT
bracis-28359	217	13	25	25	NUM
bracis-28359	217	14	)	)	PUNCT
bracis-28359	217	15	imlib	imlib	NOUN
bracis-28359	217	16	also	also	ADV
bracis-28359	217	17	has	have	VERB
bracis-28359	217	18	a	a	DET
bracis-28359	217	19	technique	technique	NOUN
bracis-28359	217	20	for	for	ADP
bracis-28359	217	21	reducing	reduce	VERB
bracis-28359	217	22	the	the	DET
bracis-28359	217	23	size	size	NOUN
bracis-28359	217	24	of	of	ADP
bracis-28359	217	25	the	the	DET
bracis-28359	217	26	generated	generate	VERB
bracis-28359	217	27	set	set	NOUN
bracis-28359	217	28	of	of	ADP
bracis-28359	217	29	rules	rule	NOUN
bracis-28359	217	30	demonstrated	demonstrate	VERB
bracis-28359	217	31	in	in	ADP
bracis-28359	217	32	example	example	NOUN
bracis-28359	217	33	5	5	NUM
bracis-28359	217	34	.	.	PUNCT
bracis-28359	218	1	moreover	moreover	ADV
bracis-28359	218	2	,	,	PUNCT
bracis-28359	218	3	we	we	PRON
bracis-28359	218	4	added	add	VERB
bracis-28359	218	5	two	two	NUM
bracis-28359	218	6	more	more	ADJ
bracis-28359	218	7	cases	case	NOUN
bracis-28359	218	8	which	which	PRON
bracis-28359	218	9	are	be	AUX
bracis-28359	218	10	described	describe	VERB
bracis-28359	218	11	in	in	ADP
bracis-28359	218	12	example	example	NOUN
bracis-28359	218	13	6	6	NUM
bracis-28359	218	14	and	and	CCONJ
bracis-28359	218	15	example	example	NOUN
bracis-28359	218	16	7	7	NUM
bracis-28359	218	17	.	.	NOUN
bracis-28359	218	18	example	example	NOUN
bracis-28359	218	19	6	6	NUM
bracis-28359	218	20	let	let	VERB
bracis-28359	218	21	\({\textbf	\({\textbf	PROPN
bracis-28359	218	22	{	{	PUNCT
bracis-28359	218	23	r}}\	r}}\	PROPN
bracis-28359	218	24	)	)	PUNCT
bracis-28359	218	25	be	be	VERB
bracis-28359	218	26	the	the	DET
bracis-28359	218	27	following	follow	VERB
bracis-28359	218	28	set	set	NOUN
bracis-28359	218	29	of	of	ADP
bracis-28359	218	30	rules	rule	NOUN
bracis-28359	218	31	with	with	ADP
bracis-28359	218	32	opposite	opposite	ADJ
bracis-28359	218	33	features	feature	NOUN
bracis-28359	218	34	in	in	ADP
bracis-28359	218	35	the	the	DET
bracis-28359	218	36	same	same	ADJ
bracis-28359	218	37	rule	rule	NOUN
bracis-28359	218	38	:	:	PUNCT
bracis-28359	218	39	$	$	SYM
bracis-28359	218	40	$	$	SYM
bracis-28359	218	41	(	(	PUNCT
bracis-28359	218	42	\textit{age}>20	\textit{age}>20	PROPN
bracis-28359	218	43	)	)	PUNCT
bracis-28359	218	44	\vee	\vee	PROPN
bracis-28359	218	45	(	(	PUNCT
bracis-28359	218	46	\textit{height}\le	\textit{height}\le	PROPN
bracis-28359	218	47	2	2	NUM
bracis-28359	218	48	\wedge	\wedge	PROPN
bracis-28359	218	49	\textit{height}>2	\textit{height}>2	PROPN
bracis-28359	218	50	)	)	PUNCT
bracis-28359	218	51	\vee	\vee	PROPN
bracis-28359	218	52	(	(	PUNCT
bracis-28359	218	53	\textit{hike	\textit{hike	ADP
bracis-28359	218	54	}	}	PUNCT
bracis-28359	218	55	\wedge	\wedge	PROPN
bracis-28359	218	56	\textit{not	\textit{not	PROPN
bracis-28359	218	57	hike}).$$	hike}).$$	PROPN
bracis-28359	218	58	therefore	therefore	ADV
bracis-28359	218	59	,	,	PUNCT
bracis-28359	218	60	the	the	DET
bracis-28359	218	61	technique	technique	NOUN
bracis-28359	218	62	removes	remove	VERB
bracis-28359	218	63	rules	rule	NOUN
bracis-28359	218	64	with	with	ADP
bracis-28359	218	65	opposite	opposite	ADJ
bracis-28359	218	66	features	feature	NOUN
bracis-28359	218	67	in	in	ADP
bracis-28359	218	68	the	the	DET
bracis-28359	218	69	same	same	ADJ
bracis-28359	218	70	rule	rule	NOUN
bracis-28359	218	71	obtaining	obtain	VERB
bracis-28359	218	72	the	the	DET
bracis-28359	218	73	following	follow	VERB
bracis-28359	218	74	set	set	NOUN
bracis-28359	218	75	of	of	ADP
bracis-28359	218	76	rules	rule	NOUN
bracis-28359	218	77	:	:	PUNCT
bracis-28359	218	78	$	$	SYM
bracis-28359	218	79	$	$	SYM
bracis-28359	218	80	(	(	PUNCT
bracis-28359	218	81	\textit{age}>20).$$	\textit{age}>20).$$	DET
bracis-28359	218	82	example	example	NOUN
bracis-28359	218	83	7	7	NUM
bracis-28359	218	84	let	let	VERB
bracis-28359	218	85	\({\textbf	\({\textbf	PROPN
bracis-28359	218	86	{	{	PUNCT
bracis-28359	218	87	r}}\	r}}\	PROPN
bracis-28359	218	88	)	)	PUNCT
bracis-28359	218	89	be	be	VERB
bracis-28359	218	90	the	the	DET
bracis-28359	218	91	following	follow	VERB
bracis-28359	218	92	set	set	NOUN
bracis-28359	218	93	of	of	ADP
bracis-28359	218	94	rules	rule	NOUN
bracis-28359	218	95	with	with	ADP
bracis-28359	218	96	the	the	DET
bracis-28359	218	97	same	same	ADJ
bracis-28359	218	98	feature	feature	NOUN
bracis-28359	218	99	occurring	occur	VERB
bracis-28359	218	100	twice	twice	ADV
bracis-28359	218	101	in	in	ADP
bracis-28359	218	102	a	a	DET
bracis-28359	218	103	rule	rule	NOUN
bracis-28359	218	104	:	:	PUNCT
bracis-28359	218	105	$	$	SYM
bracis-28359	218	106	$	$	SYM
bracis-28359	218	107	(	(	PUNCT
bracis-28359	218	108	\textit{hike	\textit{hike	ADJ
bracis-28359	218	109	}	}	PUNCT
bracis-28359	218	110	\wedge	\wedge	NOUN
bracis-28359	218	111	\textit{hike	\textit{hike	PROPN
bracis-28359	218	112	}	}	PUNCT
bracis-28359	218	113	)	)	PUNCT
bracis-28359	218	114	\vee	\vee	PROPN
bracis-28359	218	115	(	(	PUNCT
bracis-28359	218	116	\textit{age}>20).$$	\textit{age}>20).$$	ADV
bracis-28359	218	117	accordingly	accordingly	ADV
bracis-28359	218	118	,	,	PUNCT
bracis-28359	218	119	our	our	PRON
bracis-28359	218	120	technique	technique	NOUN
bracis-28359	218	121	for	for	ADP
bracis-28359	218	122	removing	remove	VERB
bracis-28359	218	123	redundancies	redundancy	NOUN
bracis-28359	218	124	eliminates	eliminate	VERB
bracis-28359	218	125	repetitive	repetitive	ADJ
bracis-28359	218	126	features	feature	NOUN
bracis-28359	218	127	,	,	PUNCT
bracis-28359	218	128	resulting	result	VERB
bracis-28359	218	129	in	in	ADP
bracis-28359	218	130	the	the	DET
bracis-28359	218	131	following	follow	VERB
bracis-28359	218	132	set	set	NOUN
bracis-28359	218	133	of	of	ADP
bracis-28359	218	134	rules	rule	NOUN
bracis-28359	218	135	:	:	PUNCT
bracis-28359	218	136	$	$	SYM
bracis-28359	218	137	$	$	SYM
bracis-28359	218	138	(	(	PUNCT
bracis-28359	218	139	\textit{hike	\textit{hike	ADJ
bracis-28359	218	140	}	}	PUNCT
bracis-28359	218	141	)	)	PUNCT
bracis-28359	218	142	\vee	\vee	PROPN
bracis-28359	218	143	(	(	PUNCT
bracis-28359	218	144	\textit{age}>20).$$	\textit{age}>20).$$	ADP
bracis-28359	218	145	5	5	NUM
bracis-28359	218	146	experiments	experiment	NOUN
bracis-28359	218	147	table	table	VERB
bracis-28359	218	148	1	1	NUM
bracis-28359	218	149	.	.	PUNCT
bracis-28359	219	1	databases	database	NOUN
bracis-28359	219	2	information.full	information.full	PRON
bracis-28359	219	3	size	size	NOUN
bracis-28359	219	4	table	table	NOUN
bracis-28359	219	5	in	in	ADP
bracis-28359	219	6	this	this	DET
bracis-28359	219	7	section	section	NOUN
bracis-28359	219	8	,	,	PUNCT
bracis-28359	219	9	we	we	PRON
bracis-28359	219	10	present	present	VERB
bracis-28359	219	11	the	the	DET
bracis-28359	219	12	experiments	experiment	NOUN
bracis-28359	219	13	we	we	PRON
bracis-28359	219	14	conducted	conduct	VERB
bracis-28359	219	15	to	to	PART
bracis-28359	219	16	compare	compare	VERB
bracis-28359	219	17	our	our	PRON
bracis-28359	219	18	method	method	NOUN
bracis-28359	219	19	imlib	imlib	NOUN
bracis-28359	219	20	against	against	ADP
bracis-28359	219	21	imli	imli	NOUN
bracis-28359	219	22	.	.	PUNCT
bracis-28359	220	1	the	the	DET
bracis-28359	220	2	two	two	NUM
bracis-28359	220	3	models	model	NOUN
bracis-28359	220	4	were	be	AUX
bracis-28359	220	5	implementedfootnote	implementedfootnote	VERB
bracis-28359	220	6	1	1	NUM
bracis-28359	220	7	with	with	ADP
bracis-28359	220	8	python	python	NOUN
bracis-28359	220	9	and	and	CCONJ
bracis-28359	220	10	maxsat	maxsat	PROPN
bracis-28359	220	11	solver	solver	PROPN
bracis-28359	220	12	rc2	rc2	PROPN
bracis-28359	221	1	[	[	X
bracis-28359	221	2	10	10	NUM
bracis-28359	221	3	]	]	PUNCT
bracis-28359	221	4	.	.	PUNCT
bracis-28359	222	1	the	the	DET
bracis-28359	222	2	experiments	experiment	NOUN
bracis-28359	222	3	were	be	AUX
bracis-28359	222	4	carried	carry	VERB
bracis-28359	222	5	out	out	ADP
bracis-28359	222	6	on	on	ADP
bracis-28359	222	7	a	a	DET
bracis-28359	222	8	machine	machine	NOUN
bracis-28359	222	9	with	with	ADP
bracis-28359	222	10	the	the	DET
bracis-28359	222	11	following	follow	VERB
bracis-28359	222	12	configurations	configuration	NOUN
bracis-28359	222	13	:	:	PUNCT
bracis-28359	222	14	intel(r	intel(r	NOUN
bracis-28359	222	15	)	)	PUNCT
bracis-28359	222	16	core(tm	core(tm	NOUN
bracis-28359	222	17	)	)	PUNCT
bracis-28359	222	18	i5	i5	PROPN
bracis-28359	222	19	-	-	PUNCT
bracis-28359	222	20	4460	4460	NUM
bracis-28359	222	21	3.20ghz	3.20ghz	NUM
bracis-28359	222	22	processor	processor	NOUN
bracis-28359	222	23	,	,	PUNCT
bracis-28359	222	24	and	and	CCONJ
bracis-28359	222	25	12	12	NUM
bracis-28359	222	26	gb	gb	NOUN
bracis-28359	222	27	of	of	ADP
bracis-28359	222	28	ram	ram	NOUN
bracis-28359	222	29	memory	memory	NOUN
bracis-28359	222	30	.	.	PUNCT
bracis-28359	223	1	ten	ten	NUM
bracis-28359	223	2	databases	database	NOUN
bracis-28359	223	3	from	from	ADP
bracis-28359	223	4	the	the	DET
bracis-28359	223	5	uci	uci	PROPN
bracis-28359	223	6	repository	repository	NOUN
bracis-28359	223	7	[	[	X
bracis-28359	223	8	3	3	X
bracis-28359	223	9	]	]	PUNCT
bracis-28359	223	10	were	be	AUX
bracis-28359	223	11	used	use	VERB
bracis-28359	223	12	to	to	PART
bracis-28359	223	13	compare	compare	VERB
bracis-28359	223	14	imli	imli	ADV
bracis-28359	223	15	with	with	ADP
bracis-28359	223	16	imlib	imlib	PROPN
bracis-28359	223	17	.	.	PUNCT
bracis-28359	224	1	information	information	NOUN
bracis-28359	224	2	on	on	ADP
bracis-28359	224	3	the	the	DET
bracis-28359	224	4	datasets	dataset	NOUN
bracis-28359	224	5	can	can	AUX
bracis-28359	224	6	be	be	AUX
bracis-28359	224	7	seen	see	VERB
bracis-28359	224	8	in	in	ADP
bracis-28359	224	9	table	table	NOUN
bracis-28359	224	10	1	1	NUM
bracis-28359	224	11	.	.	PUNCT
bracis-28359	225	1	databases	database	NOUN
bracis-28359	225	2	that	that	PRON
bracis-28359	225	3	have	have	VERB
bracis-28359	225	4	more	more	ADJ
bracis-28359	225	5	than	than	ADP
bracis-28359	225	6	two	two	NUM
bracis-28359	225	7	classes	class	NOUN
bracis-28359	225	8	were	be	AUX
bracis-28359	225	9	adapted	adapt	VERB
bracis-28359	225	10	,	,	PUNCT
bracis-28359	225	11	considering	consider	VERB
bracis-28359	225	12	that	that	SCONJ
bracis-28359	225	13	both	both	DET
bracis-28359	225	14	models	model	NOUN
bracis-28359	225	15	are	be	AUX
bracis-28359	225	16	designed	design	VERB
bracis-28359	225	17	for	for	ADP
bracis-28359	225	18	binary	binary	ADJ
bracis-28359	225	19	classification	classification	NOUN
bracis-28359	225	20	.	.	PUNCT
bracis-28359	226	1	for	for	ADP
bracis-28359	226	2	purposes	purpose	NOUN
bracis-28359	226	3	of	of	ADP
bracis-28359	226	4	comparison	comparison	NOUN
bracis-28359	226	5	,	,	PUNCT
bracis-28359	226	6	we	we	PRON
bracis-28359	226	7	measure	measure	VERB
bracis-28359	226	8	the	the	DET
bracis-28359	226	9	following	follow	VERB
bracis-28359	226	10	metrics	metric	NOUN
bracis-28359	226	11	:	:	PUNCT
bracis-28359	226	12	number	number	NOUN
bracis-28359	226	13	of	of	ADP
bracis-28359	226	14	rules	rule	NOUN
bracis-28359	226	15	,	,	PUNCT
bracis-28359	226	16	size	size	NOUN
bracis-28359	226	17	of	of	ADP
bracis-28359	226	18	the	the	DET
bracis-28359	226	19	set	set	NOUN
bracis-28359	226	20	of	of	ADP
bracis-28359	226	21	rules	rule	NOUN
bracis-28359	226	22	,	,	PUNCT
bracis-28359	226	23	size	size	NOUN
bracis-28359	226	24	of	of	ADP
bracis-28359	226	25	the	the	DET
bracis-28359	226	26	largest	large	ADJ
bracis-28359	226	27	rule	rule	NOUN
bracis-28359	226	28	,	,	PUNCT
bracis-28359	226	29	accuracy	accuracy	NOUN
bracis-28359	226	30	on	on	ADP
bracis-28359	226	31	test	test	NOUN
bracis-28359	226	32	data	datum	NOUN
bracis-28359	226	33	and	and	CCONJ
bracis-28359	226	34	training	training	NOUN
bracis-28359	226	35	time	time	NOUN
bracis-28359	226	36	.	.	PUNCT
bracis-28359	227	1	the	the	DET
bracis-28359	227	2	number	number	NOUN
bracis-28359	227	3	of	of	ADP
bracis-28359	227	4	rules	rule	NOUN
bracis-28359	227	5	,	,	PUNCT
bracis-28359	227	6	size	size	NOUN
bracis-28359	227	7	of	of	ADP
bracis-28359	227	8	the	the	DET
bracis-28359	227	9	set	set	NOUN
bracis-28359	227	10	of	of	ADP
bracis-28359	227	11	rules	rule	NOUN
bracis-28359	227	12	,	,	PUNCT
bracis-28359	227	13	and	and	CCONJ
bracis-28359	227	14	size	size	NOUN
bracis-28359	227	15	of	of	ADP
bracis-28359	227	16	the	the	DET
bracis-28359	227	17	largest	large	ADJ
bracis-28359	227	18	rule	rule	NOUN
bracis-28359	227	19	can	can	AUX
bracis-28359	227	20	be	be	AUX
bracis-28359	227	21	used	use	VERB
bracis-28359	227	22	as	as	ADP
bracis-28359	227	23	interpretability	interpretability	NOUN
bracis-28359	227	24	metrics	metric	NOUN
bracis-28359	227	25	.	.	PUNCT
bracis-28359	228	1	for	for	ADP
bracis-28359	228	2	example	example	NOUN
bracis-28359	228	3	,	,	PUNCT
bracis-28359	228	4	a	a	DET
bracis-28359	228	5	set	set	NOUN
bracis-28359	228	6	of	of	ADP
bracis-28359	228	7	rules	rule	NOUN
bracis-28359	228	8	with	with	ADP
bracis-28359	228	9	few	few	ADJ
bracis-28359	228	10	rules	rule	NOUN
bracis-28359	228	11	and	and	CCONJ
bracis-28359	228	12	small	small	ADJ
bracis-28359	228	13	rules	rule	NOUN
bracis-28359	228	14	is	be	AUX
bracis-28359	228	15	more	more	ADV
bracis-28359	228	16	interpretable	interpretable	ADJ
bracis-28359	228	17	than	than	ADP
bracis-28359	228	18	one	one	NUM
bracis-28359	228	19	with	with	ADP
bracis-28359	228	20	many	many	ADJ
bracis-28359	228	21	large	large	ADJ
bracis-28359	228	22	rules	rule	NOUN
bracis-28359	228	23	.	.	PUNCT
bracis-28359	229	1	each	each	DET
bracis-28359	229	2	dataset	dataset	NOUN
bracis-28359	229	3	was	be	AUX
bracis-28359	229	4	split	split	VERB
bracis-28359	229	5	into	into	ADP
bracis-28359	229	6	\(80\%\	\(80\%\	NOUN
bracis-28359	229	7	)	)	PUNCT
bracis-28359	229	8	for	for	ADP
bracis-28359	229	9	training	training	NOUN
bracis-28359	229	10	and	and	CCONJ
bracis-28359	229	11	\(20\%\	\(20\%\	NUM
bracis-28359	229	12	)	)	PUNCT
bracis-28359	229	13	for	for	ADP
bracis-28359	229	14	testing	testing	NOUN
bracis-28359	229	15	.	.	PUNCT
bracis-28359	230	1	both	both	DET
bracis-28359	230	2	models	model	NOUN
bracis-28359	230	3	were	be	AUX
bracis-28359	230	4	trained	train	VERB
bracis-28359	230	5	and	and	CCONJ
bracis-28359	230	6	evaluated	evaluate	VERB
bracis-28359	230	7	using	use	VERB
bracis-28359	230	8	the	the	DET
bracis-28359	230	9	same	same	ADJ
bracis-28359	230	10	training	training	NOUN
bracis-28359	230	11	and	and	CCONJ
bracis-28359	230	12	test	test	NOUN
bracis-28359	230	13	sets	set	NOUN
bracis-28359	230	14	,	,	PUNCT
bracis-28359	230	15	as	as	ADV
bracis-28359	230	16	well	well	ADV
bracis-28359	230	17	as	as	ADP
bracis-28359	230	18	the	the	DET
bracis-28359	230	19	same	same	ADJ
bracis-28359	230	20	random	random	ADJ
bracis-28359	230	21	distribution	distribution	NOUN
bracis-28359	230	22	.	.	PUNCT
bracis-28359	231	1	then	then	ADV
bracis-28359	231	2	,	,	PUNCT
bracis-28359	231	3	the	the	DET
bracis-28359	231	4	way	way	NOUN
bracis-28359	231	5	the	the	DET
bracis-28359	231	6	experiments	experiment	NOUN
bracis-28359	231	7	were	be	AUX
bracis-28359	231	8	conducted	conduct	VERB
bracis-28359	231	9	ensured	ensure	VERB
bracis-28359	231	10	that	that	SCONJ
bracis-28359	231	11	both	both	DET
bracis-28359	231	12	models	model	NOUN
bracis-28359	231	13	had	have	VERB
bracis-28359	231	14	exactly	exactly	ADV
bracis-28359	231	15	the	the	DET
bracis-28359	231	16	same	same	ADJ
bracis-28359	231	17	set	set	NOUN
bracis-28359	231	18	of	of	ADP
bracis-28359	231	19	samples	sample	NOUN
bracis-28359	231	20	to	to	PART
bracis-28359	231	21	learn	learn	VERB
bracis-28359	231	22	the	the	DET
bracis-28359	231	23	set	set	NOUN
bracis-28359	231	24	of	of	ADP
bracis-28359	231	25	rules	rule	NOUN
bracis-28359	231	26	.	.	PUNCT
bracis-28359	232	1	for	for	ADP
bracis-28359	232	2	both	both	CCONJ
bracis-28359	232	3	imli	imli	NOUN
bracis-28359	232	4	and	and	CCONJ
bracis-28359	232	5	imlib	imlib	PROPN
bracis-28359	232	6	,	,	PUNCT
bracis-28359	232	7	we	we	PRON
bracis-28359	232	8	consider	consider	VERB
bracis-28359	232	9	parameter	parameter	NOUN
bracis-28359	232	10	configurations	configuration	NOUN
bracis-28359	232	11	obtained	obtain	VERB
bracis-28359	232	12	by	by	ADP
bracis-28359	232	13	combining	combine	VERB
bracis-28359	232	14	values	value	NOUN
bracis-28359	232	15	of	of	ADP
bracis-28359	232	16	:	:	PUNCT
bracis-28359	232	17	\(k	\(k	NOUN
bracis-28359	232	18	\in	\in	PROPN
bracis-28359	232	19	\{1,2,3\}\	\{1,2,3\}\	NOUN
bracis-28359	232	20	)	)	PUNCT
bracis-28359	232	21	,	,	PUNCT
bracis-28359	232	22	\(\lambda	\(\lambda	NOUN
bracis-28359	232	23	\in	\in	PROPN
bracis-28359	232	24	\{5,10\}\	\{5,10\}\	PROPN
bracis-28359	232	25	)	)	PUNCT
bracis-28359	232	26	and	and	CCONJ
bracis-28359	232	27	\(lp	\(lp	PROPN
bracis-28359	232	28	\in	\in	PROPN
bracis-28359	232	29	\{8,16\}\	\{8,16\}\	PROPN
bracis-28359	232	30	)	)	PUNCT
bracis-28359	232	31	,	,	PUNCT
bracis-28359	232	32	where	where	SCONJ
bracis-28359	232	33	lp	lp	NOUN
bracis-28359	232	34	is	be	AUX
bracis-28359	232	35	the	the	DET
bracis-28359	232	36	number	number	NOUN
bracis-28359	232	37	of	of	ADP
bracis-28359	232	38	samples	sample	NOUN
bracis-28359	232	39	per	per	ADP
bracis-28359	232	40	partition	partition	NOUN
bracis-28359	232	41	.	.	PUNCT
bracis-28359	233	1	since	since	SCONJ
bracis-28359	233	2	imlib	imlib	PROPN
bracis-28359	233	3	has	have	VERB
bracis-28359	233	4	the	the	DET
bracis-28359	233	5	maximum	maximum	ADJ
bracis-28359	233	6	number	number	NOUN
bracis-28359	233	7	of	of	ADP
bracis-28359	233	8	features	feature	NOUN
bracis-28359	233	9	per	per	ADP
bracis-28359	233	10	rule	rule	NOUN
bracis-28359	233	11	l	l	NOUN
bracis-28359	233	12	as	as	ADP
bracis-28359	233	13	an	an	DET
bracis-28359	233	14	extra	extra	ADJ
bracis-28359	233	15	parameter	parameter	NOUN
bracis-28359	233	16	,	,	PUNCT
bracis-28359	233	17	for	for	ADP
bracis-28359	233	18	each	each	DET
bracis-28359	233	19	parameter	parameter	NOUN
bracis-28359	233	20	configuration	configuration	NOUN
bracis-28359	233	21	of	of	ADP
bracis-28359	233	22	imli	imli	NOUN
bracis-28359	233	23	and	and	CCONJ
bracis-28359	233	24	its	its	PRON
bracis-28359	233	25	corresponding	corresponding	ADJ
bracis-28359	233	26	\(\textbf{r}\	\(\textbf{r}\	PROPN
bracis-28359	233	27	)	)	PUNCT
bracis-28359	233	28	,	,	PUNCT
bracis-28359	233	29	we	we	PRON
bracis-28359	233	30	considered	consider	VERB
bracis-28359	233	31	l	l	NOUN
bracis-28359	233	32	ranging	range	VERB
bracis-28359	233	33	from	from	ADP
bracis-28359	233	34	1	1	NUM
bracis-28359	233	35	to	to	ADP
bracis-28359	233	36	one	one	NUM
bracis-28359	233	37	less	less	ADJ
bracis-28359	233	38	than	than	ADP
bracis-28359	233	39	the	the	DET
bracis-28359	233	40	size	size	NOUN
bracis-28359	233	41	of	of	ADP
bracis-28359	233	42	the	the	DET
bracis-28359	233	43	largest	large	ADJ
bracis-28359	233	44	rule	rule	NOUN
bracis-28359	233	45	in	in	ADP
bracis-28359	233	46	\(\textbf{r}\	\(\textbf{r}\	PROPN
bracis-28359	233	47	)	)	PUNCT
bracis-28359	233	48	.	.	PUNCT
bracis-28359	234	1	thus	thus	ADV
bracis-28359	234	2	,	,	PUNCT
bracis-28359	234	3	the	the	DET
bracis-28359	234	4	value	value	NOUN
bracis-28359	234	5	of	of	ADP
bracis-28359	234	6	l	l	NOUN
bracis-28359	234	7	that	that	PRON
bracis-28359	234	8	resulted	result	VERB
bracis-28359	234	9	in	in	ADP
bracis-28359	234	10	the	the	DET
bracis-28359	234	11	best	good	ADJ
bracis-28359	234	12	test	test	NOUN
bracis-28359	234	13	accuracy	accuracy	NOUN
bracis-28359	234	14	was	be	AUX
bracis-28359	234	15	chosen	choose	VERB
bracis-28359	234	16	to	to	PART
bracis-28359	234	17	be	be	AUX
bracis-28359	234	18	compared	compare	VERB
bracis-28359	234	19	with	with	ADP
bracis-28359	234	20	imli	imli	NOUN
bracis-28359	234	21	.	.	PUNCT
bracis-28359	235	1	our	our	PRON
bracis-28359	235	2	objective	objective	NOUN
bracis-28359	235	3	is	be	AUX
bracis-28359	235	4	to	to	PART
bracis-28359	235	5	evaluate	evaluate	VERB
bracis-28359	235	6	whether	whether	SCONJ
bracis-28359	235	7	imlib	imlib	NOUN
bracis-28359	235	8	can	can	AUX
bracis-28359	235	9	achieve	achieve	VERB
bracis-28359	235	10	higher	high	ADJ
bracis-28359	235	11	test	test	NOUN
bracis-28359	235	12	accuracy	accuracy	NOUN
bracis-28359	235	13	compared	compare	VERB
bracis-28359	235	14	to	to	ADP
bracis-28359	235	15	imli	imli	ADV
bracis-28359	235	16	by	by	ADP
bracis-28359	235	17	employing	employ	VERB
bracis-28359	235	18	smaller	small	ADJ
bracis-28359	235	19	and	and	CCONJ
bracis-28359	235	20	more	more	ADV
bracis-28359	235	21	balanced	balanced	ADJ
bracis-28359	235	22	rules	rule	NOUN
bracis-28359	235	23	.	.	PUNCT
bracis-28359	236	1	furthermore	furthermore	ADV
bracis-28359	236	2	,	,	PUNCT
bracis-28359	236	3	it	it	PRON
bracis-28359	236	4	should	should	AUX
bracis-28359	236	5	be	be	AUX
bracis-28359	236	6	noted	note	VERB
bracis-28359	236	7	that	that	SCONJ
bracis-28359	236	8	this	this	PRON
bracis-28359	236	9	does	do	AUX
bracis-28359	236	10	not	not	PART
bracis-28359	236	11	exclude	exclude	VERB
bracis-28359	236	12	the	the	DET
bracis-28359	236	13	possibility	possibility	NOUN
bracis-28359	236	14	of	of	ADP
bracis-28359	236	15	our	our	PRON
bracis-28359	236	16	method	method	NOUN
bracis-28359	236	17	generating	generating	NOUN
bracis-28359	236	18	sets	set	NOUN
bracis-28359	236	19	of	of	ADP
bracis-28359	236	20	rules	rule	NOUN
bracis-28359	236	21	with	with	ADP
bracis-28359	236	22	larger	large	ADJ
bracis-28359	236	23	sizes	size	NOUN
bracis-28359	236	24	than	than	ADP
bracis-28359	236	25	imli	imli	ADV
bracis-28359	236	26	.	.	PUNCT
bracis-28359	237	1	for	for	ADP
bracis-28359	237	2	each	each	DET
bracis-28359	237	3	dataset	dataset	NOUN
bracis-28359	237	4	and	and	CCONJ
bracis-28359	237	5	each	each	DET
bracis-28359	237	6	parameter	parameter	NOUN
bracis-28359	237	7	configuration	configuration	NOUN
bracis-28359	237	8	of	of	ADP
bracis-28359	237	9	k	k	PROPN
bracis-28359	237	10	,	,	PUNCT
bracis-28359	237	11	\(\lambda	\(\lambda	NOUN
bracis-28359	237	12	\	\	NOUN
bracis-28359	237	13	)	)	PUNCT
bracis-28359	237	14	and	and	CCONJ
bracis-28359	237	15	lp	lp	NOUN
bracis-28359	237	16	,	,	PUNCT
bracis-28359	237	17	we	we	PRON
bracis-28359	237	18	conducted	conduct	VERB
bracis-28359	237	19	ten	ten	NUM
bracis-28359	237	20	independent	independent	ADJ
bracis-28359	237	21	realizations	realization	NOUN
bracis-28359	237	22	of	of	ADP
bracis-28359	237	23	this	this	DET
bracis-28359	237	24	experiment	experiment	NOUN
bracis-28359	237	25	.	.	PUNCT
bracis-28359	238	1	for	for	ADP
bracis-28359	238	2	each	each	DET
bracis-28359	238	3	dataset	dataset	NOUN
bracis-28359	238	4	,	,	PUNCT
bracis-28359	238	5	the	the	DET
bracis-28359	238	6	parameter	parameter	NOUN
bracis-28359	238	7	configuration	configuration	NOUN
bracis-28359	238	8	with	with	ADP
bracis-28359	238	9	the	the	DET
bracis-28359	238	10	best	good	ADJ
bracis-28359	238	11	average	average	NOUN
bracis-28359	238	12	of	of	ADP
bracis-28359	238	13	test	test	NOUN
bracis-28359	238	14	accuracy	accuracy	NOUN
bracis-28359	238	15	for	for	ADP
bracis-28359	238	16	imli	imli	ADV
bracis-28359	238	17	was	be	AUX
bracis-28359	238	18	chosen	choose	VERB
bracis-28359	238	19	to	to	PART
bracis-28359	238	20	be	be	AUX
bracis-28359	238	21	inserted	insert	VERB
bracis-28359	238	22	in	in	ADP
bracis-28359	238	23	table	table	NOUN
bracis-28359	238	24	 	 	SPACE
bracis-28359	238	25	2	2	NUM
bracis-28359	238	26	.	.	PUNCT
bracis-28359	238	27	for	for	ADP
bracis-28359	238	28	each	each	DET
bracis-28359	238	29	dataset	dataset	NOUN
bracis-28359	238	30	,	,	PUNCT
bracis-28359	238	31	the	the	DET
bracis-28359	238	32	parameter	parameter	NOUN
bracis-28359	238	33	configuration	configuration	NOUN
bracis-28359	238	34	with	with	ADP
bracis-28359	238	35	the	the	DET
bracis-28359	238	36	best	good	ADJ
bracis-28359	238	37	average	average	NOUN
bracis-28359	238	38	of	of	ADP
bracis-28359	238	39	test	test	NOUN
bracis-28359	238	40	accuracy	accuracy	NOUN
bracis-28359	238	41	for	for	ADP
bracis-28359	238	42	imlib	imlib	NOUN
bracis-28359	238	43	was	be	AUX
bracis-28359	238	44	chosen	choose	VERB
bracis-28359	238	45	to	to	PART
bracis-28359	238	46	be	be	AUX
bracis-28359	238	47	inserted	insert	VERB
bracis-28359	238	48	in	in	ADP
bracis-28359	238	49	table	table	NOUN
bracis-28359	238	50	 	 	SPACE
bracis-28359	238	51	3	3	NUM
bracis-28359	238	52	.	.	PUNCT
bracis-28359	239	1	the	the	DET
bracis-28359	239	2	results	result	NOUN
bracis-28359	239	3	presented	present	VERB
bracis-28359	239	4	in	in	ADP
bracis-28359	239	5	both	both	DET
bracis-28359	239	6	tables	table	NOUN
bracis-28359	239	7	are	be	AUX
bracis-28359	239	8	the	the	DET
bracis-28359	239	9	average	average	NOUN
bracis-28359	239	10	over	over	ADP
bracis-28359	239	11	the	the	DET
bracis-28359	239	12	ten	ten	NUM
bracis-28359	239	13	realizations	realization	NOUN
bracis-28359	239	14	.	.	PUNCT
bracis-28359	240	1	in	in	ADP
bracis-28359	240	2	table	table	NOUN
bracis-28359	240	3	 	 	SPACE
bracis-28359	240	4	2	2	NUM
bracis-28359	240	5	,	,	PUNCT
bracis-28359	240	6	when	when	SCONJ
bracis-28359	240	7	considering	consider	VERB
bracis-28359	240	8	parameter	parameter	NOUN
bracis-28359	240	9	configurations	configuration	NOUN
bracis-28359	240	10	that	that	PRON
bracis-28359	240	11	favor	favor	VERB
bracis-28359	240	12	imli	imli	ADV
bracis-28359	240	13	,	,	PUNCT
bracis-28359	240	14	we	we	PRON
bracis-28359	240	15	can	can	AUX
bracis-28359	240	16	see	see	VERB
bracis-28359	240	17	that	that	SCONJ
bracis-28359	240	18	imlib	imlib	PROPN
bracis-28359	240	19	stands	stand	VERB
bracis-28359	240	20	out	out	ADP
bracis-28359	240	21	in	in	ADP
bracis-28359	240	22	the	the	DET
bracis-28359	240	23	size	size	NOUN
bracis-28359	240	24	of	of	ADP
bracis-28359	240	25	the	the	DET
bracis-28359	240	26	generated	generate	VERB
bracis-28359	240	27	set	set	NOUN
bracis-28359	240	28	of	of	ADP
bracis-28359	240	29	rules	rule	NOUN
bracis-28359	240	30	and	and	CCONJ
bracis-28359	240	31	in	in	ADP
bracis-28359	240	32	the	the	DET
bracis-28359	240	33	size	size	NOUN
bracis-28359	240	34	of	of	ADP
bracis-28359	240	35	the	the	DET
bracis-28359	240	36	largest	large	ADJ
bracis-28359	240	37	rule	rule	NOUN
bracis-28359	240	38	in	in	ADP
bracis-28359	240	39	datasets	dataset	NOUN
bracis-28359	240	40	.	.	PUNCT
bracis-28359	241	1	furthermore	furthermore	ADV
bracis-28359	241	2	,	,	PUNCT
bracis-28359	241	3	our	our	PRON
bracis-28359	241	4	method	method	NOUN
bracis-28359	241	5	achieved	achieve	VERB
bracis-28359	241	6	equal	equal	ADJ
bracis-28359	241	7	or	or	CCONJ
bracis-28359	241	8	higher	high	ADJ
bracis-28359	241	9	accuracy	accuracy	NOUN
bracis-28359	241	10	compared	compare	VERB
bracis-28359	241	11	to	to	ADP
bracis-28359	241	12	imli	imli	ADV
bracis-28359	241	13	in	in	ADP
bracis-28359	241	14	four	four	NUM
bracis-28359	241	15	out	out	ADP
bracis-28359	241	16	of	of	ADP
bracis-28359	241	17	ten	ten	NUM
bracis-28359	241	18	datasets	dataset	NOUN
bracis-28359	241	19	.	.	PUNCT
bracis-28359	242	1	in	in	ADP
bracis-28359	242	2	datasets	dataset	NOUN
bracis-28359	242	3	where	where	SCONJ
bracis-28359	242	4	imli	imli	NOUN
bracis-28359	242	5	outperformed	outperform	VERB
bracis-28359	242	6	imlib	imlib	NOUN
bracis-28359	242	7	in	in	ADP
bracis-28359	242	8	terms	term	NOUN
bracis-28359	242	9	of	of	ADP
bracis-28359	242	10	accuracy	accuracy	NOUN
bracis-28359	242	11	,	,	PUNCT
bracis-28359	242	12	our	our	PRON
bracis-28359	242	13	method	method	NOUN
bracis-28359	242	14	exhibited	exhibit	VERB
bracis-28359	242	15	a	a	DET
bracis-28359	242	16	modest	modest	ADJ
bracis-28359	242	17	average	average	ADJ
bracis-28359	242	18	performance	performance	NOUN
bracis-28359	242	19	gap	gap	NOUN
bracis-28359	242	20	of	of	ADP
bracis-28359	242	21	only	only	ADV
bracis-28359	242	22	three	three	NUM
bracis-28359	242	23	percentage	percentage	NOUN
bracis-28359	242	24	points	point	NOUN
bracis-28359	242	25	.	.	PUNCT
bracis-28359	243	1	besides	besides	ADV
bracis-28359	243	2	,	,	PUNCT
bracis-28359	243	3	imli	imli	ADV
bracis-28359	243	4	outperformed	outperform	VERB
bracis-28359	243	5	our	our	PRON
bracis-28359	243	6	method	method	NOUN
bracis-28359	243	7	in	in	ADP
bracis-28359	243	8	terms	term	NOUN
bracis-28359	243	9	of	of	ADP
bracis-28359	243	10	training	training	NOUN
bracis-28359	243	11	time	time	NOUN
bracis-28359	243	12	in	in	ADP
bracis-28359	243	13	all	all	DET
bracis-28359	243	14	datasets	dataset	NOUN
bracis-28359	243	15	.	.	PUNCT
bracis-28359	244	1	table	table	NOUN
bracis-28359	244	2	2	2	NUM
bracis-28359	244	3	.	.	X
bracis-28359	244	4	comparison	comparison	NOUN
bracis-28359	244	5	between	between	ADP
bracis-28359	244	6	imli	imli	NOUN
bracis-28359	244	7	and	and	CCONJ
bracis-28359	244	8	imlib	imlib	NOUN
bracis-28359	244	9	in	in	ADP
bracis-28359	244	10	different	different	ADJ
bracis-28359	244	11	databases	database	NOUN
bracis-28359	244	12	with	with	ADP
bracis-28359	244	13	the	the	DET
bracis-28359	244	14	imli	imli	ADJ
bracis-28359	244	15	configuration	configuration	NOUN
bracis-28359	244	16	that	that	PRON
bracis-28359	244	17	obtained	obtain	VERB
bracis-28359	244	18	the	the	DET
bracis-28359	244	19	best	good	ADJ
bracis-28359	244	20	result	result	NOUN
bracis-28359	244	21	in	in	ADP
bracis-28359	244	22	terms	term	NOUN
bracis-28359	244	23	of	of	ADP
bracis-28359	244	24	accuracy	accuracy	NOUN
bracis-28359	244	25	.	.	PUNCT
bracis-28359	245	1	the	the	DET
bracis-28359	245	2	column	column	NOUN
bracis-28359	245	3	training	training	NOUN
bracis-28359	245	4	time	time	NOUN
bracis-28359	245	5	represents	represent	VERB
bracis-28359	245	6	the	the	DET
bracis-28359	245	7	training	training	NOUN
bracis-28359	245	8	time	time	NOUN
bracis-28359	245	9	in	in	ADP
bracis-28359	245	10	seconds.full	seconds.full	NOUN
bracis-28359	245	11	size	size	NOUN
bracis-28359	245	12	table	table	NOUN
bracis-28359	245	13	table	table	NOUN
bracis-28359	245	14	3	3	NUM
bracis-28359	245	15	.	.	X
bracis-28359	245	16	comparison	comparison	NOUN
bracis-28359	245	17	between	between	ADP
bracis-28359	245	18	imli	imli	NOUN
bracis-28359	245	19	and	and	CCONJ
bracis-28359	245	20	imlib	imlib	NOUN
bracis-28359	245	21	in	in	ADP
bracis-28359	245	22	different	different	ADJ
bracis-28359	245	23	databases	database	NOUN
bracis-28359	245	24	with	with	ADP
bracis-28359	245	25	the	the	DET
bracis-28359	245	26	imlib	imlib	PROPN
bracis-28359	245	27	configuration	configuration	NOUN
bracis-28359	245	28	that	that	PRON
bracis-28359	245	29	obtained	obtain	VERB
bracis-28359	245	30	the	the	DET
bracis-28359	245	31	best	good	ADJ
bracis-28359	245	32	result	result	NOUN
bracis-28359	245	33	in	in	ADP
bracis-28359	245	34	terms	term	NOUN
bracis-28359	245	35	of	of	ADP
bracis-28359	245	36	accuracy	accuracy	NOUN
bracis-28359	245	37	.	.	PUNCT
bracis-28359	246	1	the	the	DET
bracis-28359	246	2	column	column	NOUN
bracis-28359	246	3	training	training	NOUN
bracis-28359	246	4	time	time	NOUN
bracis-28359	246	5	represents	represent	VERB
bracis-28359	246	6	the	the	DET
bracis-28359	246	7	training	training	NOUN
bracis-28359	246	8	time	time	NOUN
bracis-28359	246	9	in	in	ADP
bracis-28359	246	10	seconds.full	seconds.full	NOUN
bracis-28359	246	11	size	size	NOUN
bracis-28359	246	12	table	table	NOUN
bracis-28359	246	13	in	in	ADP
bracis-28359	246	14	table	table	NOUN
bracis-28359	246	15	 	 	SPACE
bracis-28359	246	16	3	3	NUM
bracis-28359	246	17	,	,	PUNCT
bracis-28359	246	18	when	when	SCONJ
bracis-28359	246	19	we	we	PRON
bracis-28359	246	20	consider	consider	VERB
bracis-28359	246	21	parameter	parameter	NOUN
bracis-28359	246	22	configurations	configuration	NOUN
bracis-28359	246	23	that	that	PRON
bracis-28359	246	24	favor	favor	VERB
bracis-28359	246	25	our	our	PRON
bracis-28359	246	26	method	method	NOUN
bracis-28359	246	27	,	,	PUNCT
bracis-28359	246	28	we	we	PRON
bracis-28359	246	29	can	can	AUX
bracis-28359	246	30	see	see	VERB
bracis-28359	246	31	that	that	PRON
bracis-28359	246	32	imlib	imlib	PROPN
bracis-28359	246	33	continues	continue	VERB
bracis-28359	246	34	to	to	PART
bracis-28359	246	35	stand	stand	VERB
bracis-28359	246	36	out	out	ADP
bracis-28359	246	37	in	in	ADP
bracis-28359	246	38	terms	term	NOUN
bracis-28359	246	39	of	of	ADP
bracis-28359	246	40	the	the	DET
bracis-28359	246	41	size	size	NOUN
bracis-28359	246	42	of	of	ADP
bracis-28359	246	43	the	the	DET
bracis-28359	246	44	generated	generate	VERB
bracis-28359	246	45	set	set	NOUN
bracis-28359	246	46	of	of	ADP
bracis-28359	246	47	rules	rule	NOUN
bracis-28359	246	48	and	and	CCONJ
bracis-28359	246	49	the	the	DET
bracis-28359	246	50	size	size	NOUN
bracis-28359	246	51	of	of	ADP
bracis-28359	246	52	the	the	DET
bracis-28359	246	53	largest	large	ADJ
bracis-28359	246	54	rule	rule	NOUN
bracis-28359	246	55	in	in	ADP
bracis-28359	246	56	all	all	DET
bracis-28359	246	57	datasets	dataset	NOUN
bracis-28359	246	58	.	.	PUNCT
bracis-28359	247	1	moreover	moreover	ADV
bracis-28359	247	2	,	,	PUNCT
bracis-28359	247	3	our	our	PRON
bracis-28359	247	4	method	method	NOUN
bracis-28359	247	5	achieved	achieve	VERB
bracis-28359	247	6	equal	equal	ADJ
bracis-28359	247	7	or	or	CCONJ
bracis-28359	247	8	higher	high	ADJ
bracis-28359	247	9	accuracy	accuracy	NOUN
bracis-28359	247	10	than	than	ADP
bracis-28359	247	11	imli	imli	ADV
bracis-28359	247	12	in	in	ADP
bracis-28359	247	13	all	all	DET
bracis-28359	247	14	datasets	dataset	NOUN
bracis-28359	247	15	.	.	PUNCT
bracis-28359	248	1	again	again	ADV
bracis-28359	248	2	,	,	PUNCT
bracis-28359	248	3	imli	imli	ADV
bracis-28359	248	4	consistently	consistently	ADV
bracis-28359	248	5	demonstrated	demonstrate	VERB
bracis-28359	248	6	better	well	ADJ
bracis-28359	248	7	training	training	NOUN
bracis-28359	248	8	time	time	NOUN
bracis-28359	248	9	performance	performance	NOUN
bracis-28359	248	10	compared	compare	VERB
bracis-28359	248	11	to	to	ADP
bracis-28359	248	12	imlib	imlib	NOUN
bracis-28359	248	13	across	across	ADP
bracis-28359	248	14	all	all	DET
bracis-28359	248	15	datasets	dataset	NOUN
bracis-28359	248	16	.	.	PUNCT
bracis-28359	249	1	as	as	ADP
bracis-28359	249	2	an	an	DET
bracis-28359	249	3	illustrative	illustrative	ADJ
bracis-28359	249	4	example	example	NOUN
bracis-28359	249	5	of	of	ADP
bracis-28359	249	6	interpretability	interpretability	NOUN
bracis-28359	249	7	,	,	PUNCT
bracis-28359	249	8	we	we	PRON
bracis-28359	249	9	present	present	VERB
bracis-28359	249	10	a	a	DET
bracis-28359	249	11	comparison	comparison	NOUN
bracis-28359	249	12	of	of	ADP
bracis-28359	249	13	the	the	DET
bracis-28359	249	14	sizes	size	NOUN
bracis-28359	249	15	of	of	ADP
bracis-28359	249	16	rules	rule	NOUN
bracis-28359	249	17	learned	learn	VERB
bracis-28359	249	18	by	by	ADP
bracis-28359	249	19	both	both	DET
bracis-28359	249	20	methods	method	NOUN
bracis-28359	249	21	in	in	ADP
bracis-28359	249	22	the	the	DET
bracis-28359	249	23	mushroom	mushroom	NOUN
bracis-28359	249	24	dataset	dataset	NOUN
bracis-28359	249	25	.	.	PUNCT
bracis-28359	250	1	table	table	NOUN
bracis-28359	250	2	4	4	NUM
bracis-28359	250	3	shows	show	VERB
bracis-28359	250	4	the	the	DET
bracis-28359	250	5	sizes	size	NOUN
bracis-28359	250	6	of	of	ADP
bracis-28359	250	7	rules	rule	NOUN
bracis-28359	250	8	obtained	obtain	VERB
bracis-28359	250	9	in	in	ADP
bracis-28359	250	10	all	all	DET
bracis-28359	250	11	ten	ten	NUM
bracis-28359	250	12	realizations	realization	NOUN
bracis-28359	250	13	of	of	ADP
bracis-28359	250	14	the	the	DET
bracis-28359	250	15	experiment	experiment	NOUN
bracis-28359	250	16	.	.	PUNCT
bracis-28359	251	1	we	we	PRON
bracis-28359	251	2	can	can	AUX
bracis-28359	251	3	observe	observe	VERB
bracis-28359	251	4	that	that	SCONJ
bracis-28359	251	5	imlib	imlib	PROPN
bracis-28359	251	6	consistently	consistently	ADV
bracis-28359	251	7	maintains	maintain	VERB
bracis-28359	251	8	a	a	DET
bracis-28359	251	9	smaller	small	ADJ
bracis-28359	251	10	and	and	CCONJ
bracis-28359	251	11	more	more	ADV
bracis-28359	251	12	balanced	balanced	ADJ
bracis-28359	251	13	set	set	NOUN
bracis-28359	251	14	of	of	ADP
bracis-28359	251	15	rules	rule	NOUN
bracis-28359	251	16	across	across	ADP
bracis-28359	251	17	the	the	DET
bracis-28359	251	18	different	different	ADJ
bracis-28359	251	19	realizations	realization	NOUN
bracis-28359	251	20	.	.	PUNCT
bracis-28359	252	1	this	this	PRON
bracis-28359	252	2	is	be	AUX
bracis-28359	252	3	interesting	interesting	ADJ
bracis-28359	252	4	because	because	SCONJ
bracis-28359	252	5	unbalanced	unbalanced	ADJ
bracis-28359	252	6	rules	rule	NOUN
bracis-28359	252	7	can	can	AUX
bracis-28359	252	8	affect	affect	VERB
bracis-28359	252	9	interpretability	interpretability	NOUN
bracis-28359	252	10	.	.	PUNCT
bracis-28359	253	1	see	see	VERB
bracis-28359	253	2	realization	realization	NOUN
bracis-28359	253	3	6	6	NUM
bracis-28359	253	4	,	,	PUNCT
bracis-28359	253	5	for	for	ADP
bracis-28359	253	6	instance	instance	NOUN
bracis-28359	253	7	.	.	PUNCT
bracis-28359	254	1	the	the	DET
bracis-28359	254	2	largest	large	ADJ
bracis-28359	254	3	rule	rule	NOUN
bracis-28359	254	4	learned	learn	VERB
bracis-28359	254	5	by	by	ADP
bracis-28359	254	6	imli	imli	ADV
bracis-28359	254	7	has	have	VERB
bracis-28359	254	8	a	a	DET
bracis-28359	254	9	size	size	NOUN
bracis-28359	254	10	of	of	ADP
bracis-28359	254	11	10	10	NUM
bracis-28359	254	12	,	,	PUNCT
bracis-28359	254	13	nearly	nearly	ADV
bracis-28359	254	14	double	double	DET
bracis-28359	254	15	the	the	DET
bracis-28359	254	16	size	size	NOUN
bracis-28359	254	17	of	of	ADP
bracis-28359	254	18	the	the	DET
bracis-28359	254	19	remaining	remain	VERB
bracis-28359	254	20	rules	rule	NOUN
bracis-28359	254	21	.	.	PUNCT
bracis-28359	255	1	in	in	ADP
bracis-28359	255	2	contrast	contrast	NOUN
bracis-28359	255	3	,	,	PUNCT
bracis-28359	255	4	imlib	imlib	PROPN
bracis-28359	255	5	learned	learn	VERB
bracis-28359	255	6	a	a	DET
bracis-28359	255	7	set	set	NOUN
bracis-28359	255	8	of	of	ADP
bracis-28359	255	9	rules	rule	NOUN
bracis-28359	255	10	where	where	SCONJ
bracis-28359	255	11	the	the	DET
bracis-28359	255	12	size	size	NOUN
bracis-28359	255	13	of	of	ADP
bracis-28359	255	14	the	the	DET
bracis-28359	255	15	largest	large	ADJ
bracis-28359	255	16	rule	rule	NOUN
bracis-28359	255	17	is	be	AUX
bracis-28359	255	18	6	6	NUM
bracis-28359	255	19	and	and	CCONJ
bracis-28359	255	20	the	the	DET
bracis-28359	255	21	others	other	NOUN
bracis-28359	255	22	have	have	VERB
bracis-28359	255	23	similar	similar	ADJ
bracis-28359	255	24	sizes	size	NOUN
bracis-28359	255	25	.	.	PUNCT
bracis-28359	256	1	thus	thus	ADV
bracis-28359	256	2	,	,	PUNCT
bracis-28359	256	3	interpreting	interpret	VERB
bracis-28359	256	4	three	three	NUM
bracis-28359	256	5	rules	rule	NOUN
bracis-28359	256	6	of	of	ADP
bracis-28359	256	7	size	size	NOUN
bracis-28359	256	8	at	at	ADP
bracis-28359	256	9	most	most	ADV
bracis-28359	256	10	6	6	NUM
bracis-28359	256	11	is	be	AUX
bracis-28359	256	12	easier	easy	ADJ
bracis-28359	256	13	than	than	ADP
bracis-28359	256	14	interpreting	interpret	VERB
bracis-28359	256	15	a	a	DET
bracis-28359	256	16	rule	rule	NOUN
bracis-28359	256	17	of	of	ADP
bracis-28359	256	18	size	size	NOUN
bracis-28359	256	19	10	10	NUM
bracis-28359	256	20	.	.	PUNCT
bracis-28359	257	1	also	also	ADV
bracis-28359	257	2	as	as	ADP
bracis-28359	257	3	illustrative	illustrative	ADJ
bracis-28359	257	4	examples	example	NOUN
bracis-28359	257	5	of	of	ADP
bracis-28359	257	6	interpretability	interpretability	NOUN
bracis-28359	257	7	,	,	PUNCT
bracis-28359	257	8	we	we	PRON
bracis-28359	257	9	can	can	AUX
bracis-28359	257	10	see	see	VERB
bracis-28359	257	11	some	some	DET
bracis-28359	257	12	sets	set	NOUN
bracis-28359	257	13	of	of	ADP
bracis-28359	257	14	rules	rule	NOUN
bracis-28359	257	15	learned	learn	VERB
bracis-28359	257	16	by	by	ADP
bracis-28359	257	17	imlib	imlib	PROPN
bracis-28359	257	18	in	in	ADP
bracis-28359	257	19	table	table	NOUN
bracis-28359	257	20	 	 	SPACE
bracis-28359	257	21	5	5	NUM
bracis-28359	257	22	.	.	PUNCT
bracis-28359	257	23	table	table	NOUN
bracis-28359	257	24	4	4	NUM
bracis-28359	257	25	.	.	PUNCT
bracis-28359	257	26	comparison	comparison	NOUN
bracis-28359	257	27	of	of	ADP
bracis-28359	257	28	the	the	DET
bracis-28359	257	29	size	size	NOUN
bracis-28359	257	30	of	of	ADP
bracis-28359	257	31	the	the	DET
bracis-28359	257	32	rules	rule	NOUN
bracis-28359	257	33	generated	generate	VERB
bracis-28359	257	34	in	in	ADP
bracis-28359	257	35	the	the	DET
bracis-28359	257	36	ten	ten	NUM
bracis-28359	257	37	realizations	realization	NOUN
bracis-28359	257	38	of	of	ADP
bracis-28359	257	39	the	the	DET
bracis-28359	257	40	mushroom	mushroom	NOUN
bracis-28359	257	41	base	base	NOUN
bracis-28359	257	42	from	from	ADP
bracis-28359	257	43	table	table	NOUN
bracis-28359	257	44	 	 	SPACE
bracis-28359	257	45	2	2	NUM
bracis-28359	257	46	.	.	PUNCT
bracis-28359	258	1	the	the	DET
bracis-28359	258	2	configuration	configuration	NOUN
bracis-28359	258	3	used	use	VERB
bracis-28359	258	4	was	be	AUX
bracis-28359	258	5	\(lp	\(lp	NOUN
bracis-28359	258	6	=	=	PROPN
bracis-28359	258	7	16\	16\	NUM
bracis-28359	258	8	)	)	PUNCT
bracis-28359	258	9	,	,	PUNCT
bracis-28359	258	10	\(k	\(k	NOUN
bracis-28359	258	11	=	=	SYM
bracis-28359	258	12	3\	3\	NUM
bracis-28359	258	13	)	)	PUNCT
bracis-28359	258	14	and	and	CCONJ
bracis-28359	258	15	\(\lambda	\(\lambda	NOUN
bracis-28359	258	16	=	=	SYM
bracis-28359	258	17	10\	10\	NUM
bracis-28359	258	18	)	)	PUNCT
bracis-28359	258	19	.	.	PUNCT
bracis-28359	259	1	as	as	SCONJ
bracis-28359	259	2	the	the	DET
bracis-28359	259	3	value	value	NOUN
bracis-28359	259	4	of	of	ADP
bracis-28359	259	5	l	l	NOUN
bracis-28359	259	6	used	use	VERB
bracis-28359	259	7	in	in	ADP
bracis-28359	259	8	imlib	imlib	PROPN
bracis-28359	259	9	varies	vary	VERB
bracis-28359	259	10	across	across	ADP
bracis-28359	259	11	the	the	DET
bracis-28359	259	12	realizations	realization	NOUN
bracis-28359	259	13	,	,	PUNCT
bracis-28359	259	14	column	column	NOUN
bracis-28359	259	15	l	l	NOUN
bracis-28359	259	16	will	will	AUX
bracis-28359	259	17	indicate	indicate	VERB
bracis-28359	259	18	which	which	PRON
bracis-28359	259	19	was	be	AUX
bracis-28359	259	20	the	the	DET
bracis-28359	259	21	value	value	NOUN
bracis-28359	259	22	used	use	VERB
bracis-28359	259	23	in	in	ADP
bracis-28359	259	24	each	each	DET
bracis-28359	259	25	realization	realization	NOUN
bracis-28359	259	26	.	.	PUNCT
bracis-28359	260	1	in	in	ADP
bracis-28359	260	2	the	the	DET
bracis-28359	260	3	column	column	NOUN
bracis-28359	260	4	rules	rule	VERB
bracis-28359	260	5	sizes	size	NOUN
bracis-28359	260	6	,	,	PUNCT
bracis-28359	260	7	we	we	PRON
bracis-28359	260	8	show	show	VERB
bracis-28359	260	9	the	the	DET
bracis-28359	260	10	size	size	NOUN
bracis-28359	260	11	of	of	ADP
bracis-28359	260	12	each	each	DET
bracis-28359	260	13	rule	rule	NOUN
bracis-28359	260	14	in	in	ADP
bracis-28359	260	15	the	the	DET
bracis-28359	260	16	following	follow	VERB
bracis-28359	260	17	format	format	NOUN
bracis-28359	260	18	:	:	PUNCT
bracis-28359	260	19	(	(	PUNCT
bracis-28359	260	20	\(|r_1|\	\(|r_1|\	NOUN
bracis-28359	260	21	)	)	PUNCT
bracis-28359	260	22	,	,	PUNCT
bracis-28359	260	23	\(|r_2|\	\(|r_2|\	PROPN
bracis-28359	260	24	)	)	PUNCT
bracis-28359	260	25	,	,	PUNCT
bracis-28359	260	26	\(|r_3|\	\(|r_3|\	NOUN
bracis-28359	260	27	)	)	PUNCT
bracis-28359	260	28	)	)	PUNCT
bracis-28359	260	29	.	.	PUNCT
bracis-28359	261	1	we	we	PRON
bracis-28359	261	2	have	have	AUX
bracis-28359	261	3	highlighted	highlight	VERB
bracis-28359	261	4	in	in	ADP
bracis-28359	261	5	bold	bold	ADJ
bracis-28359	261	6	the	the	DET
bracis-28359	261	7	cases	case	NOUN
bracis-28359	261	8	where	where	SCONJ
bracis-28359	261	9	the	the	DET
bracis-28359	261	10	size	size	NOUN
bracis-28359	261	11	of	of	ADP
bracis-28359	261	12	\(|r_o|\	\(|r_o|\	NOUN
bracis-28359	261	13	)	)	PUNCT
bracis-28359	261	14	is	be	AUX
bracis-28359	261	15	the	the	DET
bracis-28359	261	16	same	same	ADJ
bracis-28359	261	17	or	or	CCONJ
bracis-28359	261	18	smaller	small	ADJ
bracis-28359	261	19	in	in	ADP
bracis-28359	261	20	our	our	PRON
bracis-28359	261	21	model	model	NOUN
bracis-28359	261	22	compared	compare	VERB
bracis-28359	261	23	to	to	ADP
bracis-28359	261	24	imli.full	imli.full	ADJ
bracis-28359	261	25	size	size	NOUN
bracis-28359	261	26	table	table	NOUN
bracis-28359	261	27	table	table	NOUN
bracis-28359	261	28	5	5	NUM
bracis-28359	261	29	.	.	PUNCT
bracis-28359	261	30	examples	example	NOUN
bracis-28359	261	31	of	of	ADP
bracis-28359	261	32	set	set	NOUN
bracis-28359	261	33	of	of	ADP
bracis-28359	261	34	rules	rule	NOUN
bracis-28359	261	35	generated	generate	VERB
bracis-28359	261	36	by	by	ADP
bracis-28359	261	37	imlib	imlib	PROPN
bracis-28359	261	38	in	in	ADP
bracis-28359	261	39	some	some	DET
bracis-28359	261	40	tested	test	VERB
bracis-28359	261	41	databases.full	databases.full	NOUN
bracis-28359	261	42	size	size	NOUN
bracis-28359	261	43	table	table	NOUN
bracis-28359	261	44	6	6	NUM
bracis-28359	261	45	conclusion	conclusion	NOUN
bracis-28359	261	46	in	in	ADP
bracis-28359	261	47	this	this	DET
bracis-28359	261	48	work	work	NOUN
bracis-28359	261	49	,	,	PUNCT
bracis-28359	261	50	we	we	PRON
bracis-28359	261	51	present	present	VERB
bracis-28359	261	52	a	a	DET
bracis-28359	261	53	new	new	ADJ
bracis-28359	261	54	incremental	incremental	ADJ
bracis-28359	261	55	model	model	NOUN
bracis-28359	261	56	for	for	ADP
bracis-28359	261	57	learning	learn	VERB
bracis-28359	261	58	interpretable	interpretable	ADJ
bracis-28359	261	59	and	and	CCONJ
bracis-28359	261	60	balanced	balanced	ADJ
bracis-28359	261	61	rules	rule	NOUN
bracis-28359	261	62	:	:	PUNCT
bracis-28359	261	63	imlib	imlib	PROPN
bracis-28359	261	64	.	.	PUNCT
bracis-28359	262	1	our	our	PRON
bracis-28359	262	2	method	method	NOUN
bracis-28359	262	3	leverages	leverage	VERB
bracis-28359	262	4	the	the	DET
bracis-28359	262	5	strengths	strength	NOUN
bracis-28359	262	6	of	of	ADP
bracis-28359	262	7	sqfsat	sqfsat	NOUN
bracis-28359	262	8	,	,	PUNCT
bracis-28359	262	9	which	which	PRON
bracis-28359	262	10	effectively	effectively	ADV
bracis-28359	262	11	constrains	constrain	VERB
bracis-28359	262	12	the	the	DET
bracis-28359	262	13	size	size	NOUN
bracis-28359	262	14	of	of	ADP
bracis-28359	262	15	rules	rule	NOUN
bracis-28359	262	16	,	,	PUNCT
bracis-28359	262	17	while	while	SCONJ
bracis-28359	262	18	incorporating	incorporate	VERB
bracis-28359	262	19	techniques	technique	NOUN
bracis-28359	262	20	from	from	ADP
bracis-28359	262	21	imli	imli	NOUN
bracis-28359	262	22	,	,	PUNCT
bracis-28359	262	23	such	such	ADJ
bracis-28359	262	24	as	as	ADP
bracis-28359	262	25	incrementability	incrementability	NOUN
bracis-28359	262	26	,	,	PUNCT
bracis-28359	262	27	cost	cost	NOUN
bracis-28359	262	28	for	for	ADP
bracis-28359	262	29	classification	classification	NOUN
bracis-28359	262	30	errors	error	NOUN
bracis-28359	262	31	,	,	PUNCT
bracis-28359	262	32	and	and	CCONJ
bracis-28359	262	33	minimization	minimization	NOUN
bracis-28359	262	34	of	of	ADP
bracis-28359	262	35	the	the	DET
bracis-28359	262	36	set	set	NOUN
bracis-28359	262	37	of	of	ADP
bracis-28359	262	38	rules	rule	NOUN
bracis-28359	262	39	.	.	PUNCT
bracis-28359	263	1	our	our	PRON
bracis-28359	263	2	experiments	experiment	NOUN
bracis-28359	263	3	demonstrate	demonstrate	VERB
bracis-28359	263	4	that	that	SCONJ
bracis-28359	263	5	the	the	DET
bracis-28359	263	6	proposed	propose	VERB
bracis-28359	263	7	approach	approach	NOUN
bracis-28359	263	8	generates	generate	VERB
bracis-28359	263	9	smaller	small	ADJ
bracis-28359	263	10	and	and	CCONJ
bracis-28359	263	11	more	more	ADV
bracis-28359	263	12	balanced	balanced	ADJ
bracis-28359	263	13	rules	rule	NOUN
bracis-28359	263	14	than	than	ADP
bracis-28359	263	15	imli	imli	ADV
bracis-28359	263	16	,	,	PUNCT
bracis-28359	263	17	while	while	SCONJ
bracis-28359	263	18	maintaining	maintain	VERB
bracis-28359	263	19	comparable	comparable	ADJ
bracis-28359	263	20	or	or	CCONJ
bracis-28359	263	21	even	even	ADV
bracis-28359	263	22	superior	superior	ADJ
bracis-28359	263	23	accuracy	accuracy	NOUN
bracis-28359	263	24	in	in	ADP
bracis-28359	263	25	many	many	ADJ
bracis-28359	263	26	cases	case	NOUN
bracis-28359	263	27	.	.	PUNCT
bracis-28359	264	1	we	we	PRON
bracis-28359	264	2	argue	argue	VERB
bracis-28359	264	3	that	that	SCONJ
bracis-28359	264	4	sets	set	NOUN
bracis-28359	264	5	of	of	ADP
bracis-28359	264	6	small	small	ADJ
bracis-28359	264	7	rules	rule	NOUN
bracis-28359	264	8	with	with	ADP
bracis-28359	264	9	approximately	approximately	ADV
bracis-28359	264	10	the	the	DET
bracis-28359	264	11	same	same	ADJ
bracis-28359	264	12	size	size	NOUN
bracis-28359	264	13	seem	seem	VERB
bracis-28359	264	14	more	more	ADV
bracis-28359	264	15	interpretable	interpretable	ADJ
bracis-28359	264	16	when	when	SCONJ
bracis-28359	264	17	compared	compare	VERB
bracis-28359	264	18	to	to	ADP
bracis-28359	264	19	sets	set	NOUN
bracis-28359	264	20	with	with	ADP
bracis-28359	264	21	a	a	DET
bracis-28359	264	22	few	few	ADJ
bracis-28359	264	23	large	large	ADJ
bracis-28359	264	24	rules	rule	NOUN
bracis-28359	264	25	.	.	PUNCT
bracis-28359	265	1	as	as	ADP
bracis-28359	265	2	future	future	ADJ
bracis-28359	265	3	work	work	NOUN
bracis-28359	265	4	,	,	PUNCT
bracis-28359	265	5	we	we	PRON
bracis-28359	265	6	plan	plan	VERB
bracis-28359	265	7	to	to	PART
bracis-28359	265	8	develop	develop	VERB
bracis-28359	265	9	a	a	DET
bracis-28359	265	10	version	version	NOUN
bracis-28359	265	11	of	of	ADP
bracis-28359	265	12	imlib	imlib	NOUN
bracis-28359	265	13	that	that	PRON
bracis-28359	265	14	can	can	AUX
bracis-28359	265	15	classify	classify	VERB
bracis-28359	265	16	sets	set	NOUN
bracis-28359	265	17	of	of	ADP
bracis-28359	265	18	samples	sample	NOUN
bracis-28359	265	19	with	with	ADP
bracis-28359	265	20	more	more	ADJ
bracis-28359	265	21	than	than	ADP
bracis-28359	265	22	two	two	NUM
bracis-28359	265	23	classes	class	NOUN
bracis-28359	265	24	,	,	PUNCT
bracis-28359	265	25	enabling	enable	VERB
bracis-28359	265	26	us	we	PRON
bracis-28359	265	27	to	to	PART
bracis-28359	265	28	compare	compare	VERB
bracis-28359	265	29	this	this	DET
bracis-28359	265	30	approach	approach	NOUN
bracis-28359	265	31	with	with	ADP
bracis-28359	265	32	multiclass	multiclass	ADJ
bracis-28359	265	33	interpretable	interpretable	ADJ
bracis-28359	265	34	rules	rule	NOUN
bracis-28359	265	35	from	from	ADP
bracis-28359	265	36	the	the	DET
bracis-28359	265	37	literature	literature	NOUN
bracis-28359	265	38	[	[	X
bracis-28359	265	39	11	11	NUM
bracis-28359	265	40	,	,	PUNCT
bracis-28359	265	41	24	24	NUM
bracis-28359	265	42	]	]	PUNCT
bracis-28359	265	43	.	.	PUNCT
bracis-28359	266	1	notes	note	VERB
bracis-28359	266	2	1.source	1.source	NUM
bracis-28359	266	3	code	code	NOUN
bracis-28359	266	4	of	of	ADP
bracis-28359	266	5	imlib	imlib	PROPN
bracis-28359	266	6	and	and	CCONJ
bracis-28359	266	7	the	the	DET
bracis-28359	266	8	implementation	implementation	NOUN
bracis-28359	266	9	of	of	ADP
bracis-28359	266	10	the	the	DET
bracis-28359	266	11	tests	test	NOUN
bracis-28359	266	12	performed	perform	VERB
bracis-28359	266	13	can	can	AUX
bracis-28359	266	14	be	be	AUX
bracis-28359	266	15	found	find	VERB
bracis-28359	266	16	at	at	ADP
bracis-28359	266	17	the	the	DET
bracis-28359	266	18	link	link	NOUN
bracis-28359	266	19	:	:	PUNCT
bracis-28359	267	1	https://github.com/cacajr/decision_set_models	https://github.com/cacajr/decision_set_model	NOUN
bracis-28359	267	2	.	.	PUNCT
bracis-28359	268	1	references	reference	NOUN
bracis-28359	268	2	biran	biran	ADJ
bracis-28359	268	3	,	,	PUNCT
bracis-28359	268	4	o.	o.	INTJ
bracis-28359	268	5	,	,	PUNCT
bracis-28359	268	6	cotton	cotton	NOUN
bracis-28359	268	7	,	,	PUNCT
bracis-28359	268	8	c.	c.	NOUN
bracis-28359	268	9	:	:	PUNCT
bracis-28359	268	10	explanation	explanation	NOUN
bracis-28359	268	11	and	and	CCONJ
bracis-28359	268	12	justification	justification	NOUN
bracis-28359	268	13	in	in	ADP
bracis-28359	268	14	machine	machine	NOUN
bracis-28359	268	15	learning	learning	NOUN
bracis-28359	268	16	:	:	PUNCT
bracis-28359	268	17	a	a	DET
bracis-28359	268	18	survey	survey	NOUN
bracis-28359	268	19	.	.	PUNCT
bracis-28359	269	1	in	in	ADP
bracis-28359	269	2	:	:	PUNCT
bracis-28359	269	3	ijcai-17	ijcai-17	ADJ
bracis-28359	269	4	workshop	workshop	NOUN
bracis-28359	269	5	on	on	ADP
bracis-28359	269	6	explainable	explainable	ADJ
bracis-28359	269	7	ai	ai	NOUN
bracis-28359	269	8	(	(	PUNCT
bracis-28359	269	9	xai	xai	PROPN
bracis-28359	269	10	)	)	PUNCT
bracis-28359	269	11	,	,	PUNCT
bracis-28359	269	12	vol	vol	NOUN
bracis-28359	269	13	.	.	PROPN
bracis-28359	269	14	8	8	NUM
bracis-28359	269	15	,	,	PUNCT
bracis-28359	269	16	pp	pp	ADJ
bracis-28359	269	17	.	.	PUNCT
bracis-28359	269	18	8–13	8–13	NOUN
bracis-28359	269	19	(	(	PUNCT
bracis-28359	269	20	2017	2017	NUM
bracis-28359	269	21	)	)	PUNCT
bracis-28359	269	22	google	google	NOUN
bracis-28359	269	23	scholar	scholar	NOUN
bracis-28359	269	24	  	  	SPACE
bracis-28359	269	25	carleo	carleo	NOUN
bracis-28359	269	26	,	,	PUNCT
bracis-28359	269	27	g.	g.	PROPN
bracis-28359	269	28	,	,	PUNCT
bracis-28359	269	29	et	et	PROPN
bracis-28359	269	30	al	al	PROPN
bracis-28359	269	31	.	.	PUNCT
bracis-28359	269	32	:	:	PUNCT
bracis-28359	270	1	machine	machine	NOUN
bracis-28359	270	2	learning	learning	NOUN
bracis-28359	270	3	and	and	CCONJ
bracis-28359	270	4	the	the	DET
bracis-28359	270	5	physical	physical	ADJ
bracis-28359	270	6	sciences	sciences	PROPN
bracis-28359	270	7	.	.	PUNCT
bracis-28359	271	1	rev	rev	PROPN
bracis-28359	271	2	.	.	PROPN
bracis-28359	272	1	mod	mod	PROPN
bracis-28359	272	2	.	.	PUNCT
bracis-28359	273	1	phys	phys	PROPN
bracis-28359	273	2	.	.	PUNCT
bracis-28359	274	1	91(4	91(4	NOUN
bracis-28359	274	2	)	)	PUNCT
bracis-28359	274	3	,	,	PUNCT
bracis-28359	274	4	045002	045002	NUM
bracis-28359	274	5	(	(	PUNCT
bracis-28359	274	6	2019	2019	NUM
bracis-28359	274	7	)	)	PUNCT
bracis-28359	274	8	article	article	NOUN
bracis-28359	274	9	  	  	SPACE
bracis-28359	274	10	google	google	PROPN
bracis-28359	274	11	scholar	scholar	NOUN
bracis-28359	274	12	  	  	SPACE
bracis-28359	274	13	dua	dua	PROPN
bracis-28359	274	14	,	,	PUNCT
bracis-28359	274	15	d.	d.	PROPN
bracis-28359	274	16	,	,	PUNCT
bracis-28359	274	17	graff	graff	PROPN
bracis-28359	274	18	,	,	PUNCT
bracis-28359	274	19	c.	c.	PROPN
bracis-28359	274	20	:	:	PUNCT
bracis-28359	274	21	uci	uci	PROPN
bracis-28359	274	22	machine	machine	NOUN
bracis-28359	274	23	learning	learn	VERB
bracis-28359	274	24	repository	repository	NOUN
bracis-28359	274	25	(	(	PUNCT
bracis-28359	274	26	2017	2017	NUM
bracis-28359	274	27	)	)	PUNCT
bracis-28359	274	28	.	.	PUNCT
bracis-28359	275	1	http://archive.ics.uci.edu/ml	http://archive.ics.uci.edu/ml	NUM
bracis-28359	275	2	ghassemi	ghassemi	NOUN
bracis-28359	275	3	,	,	PUNCT
bracis-28359	275	4	m.	m.	NOUN
bracis-28359	275	5	,	,	PUNCT
bracis-28359	275	6	oakden	oakden	ADJ
bracis-28359	275	7	-	-	PUNCT
bracis-28359	275	8	rayner	rayner	NOUN
bracis-28359	275	9	,	,	PUNCT
bracis-28359	275	10	l.	l.	PROPN
bracis-28359	275	11	,	,	PUNCT
bracis-28359	275	12	beam	beam	NOUN
bracis-28359	275	13	,	,	PUNCT
bracis-28359	275	14	a.l	a.l	PROPN
bracis-28359	275	15	.	.	PROPN
bracis-28359	275	16	:	:	PUNCT
bracis-28359	276	1	the	the	DET
bracis-28359	276	2	false	false	ADJ
bracis-28359	276	3	hope	hope	NOUN
bracis-28359	276	4	of	of	ADP
bracis-28359	276	5	current	current	ADJ
bracis-28359	276	6	approaches	approach	NOUN
bracis-28359	276	7	to	to	ADP
bracis-28359	276	8	explainable	explainable	ADJ
bracis-28359	276	9	artificial	artificial	ADJ
bracis-28359	276	10	intelligence	intelligence	NOUN
bracis-28359	276	11	in	in	ADP
bracis-28359	276	12	health	health	NOUN
bracis-28359	276	13	care	care	NOUN
bracis-28359	276	14	.	.	PUNCT
bracis-28359	277	1	lancet	lancet	NOUN
bracis-28359	277	2	digit	digit	PROPN
bracis-28359	277	3	.	.	PUNCT
bracis-28359	278	1	health	health	NOUN
bracis-28359	278	2	3(11	3(11	NUM
bracis-28359	278	3	)	)	PUNCT
bracis-28359	278	4	,	,	PUNCT
bracis-28359	278	5	e745	e745	PROPN
bracis-28359	278	6	–	–	PUNCT
bracis-28359	278	7	e750	e750	NUM
bracis-28359	278	8	(	(	PUNCT
bracis-28359	278	9	2021	2021	NUM
bracis-28359	278	10	)	)	PUNCT
bracis-28359	278	11	article	article	NOUN
bracis-28359	278	12	  	  	SPACE
bracis-28359	278	13	google	google	PROPN
bracis-28359	278	14	scholar	scholar	NOUN
bracis-28359	278	15	  	  	SPACE
bracis-28359	278	16	ghosh	ghosh	PROPN
bracis-28359	278	17	,	,	PUNCT
bracis-28359	278	18	b.	b.	PROPN
bracis-28359	278	19	,	,	PUNCT
bracis-28359	278	20	malioutov	malioutov	PROPN
bracis-28359	278	21	,	,	PUNCT
bracis-28359	278	22	d.	d.	PROPN
bracis-28359	278	23	,	,	PUNCT
bracis-28359	278	24	meel	meel	PROPN
bracis-28359	278	25	,	,	PUNCT
bracis-28359	278	26	k.s	k.s	PROPN
bracis-28359	278	27	.	.	PUNCT
bracis-28359	278	28	:	:	PUNCT
bracis-28359	279	1	efficient	efficient	ADJ
bracis-28359	279	2	learning	learning	NOUN
bracis-28359	279	3	of	of	ADP
bracis-28359	279	4	interpretable	interpretable	ADJ
bracis-28359	279	5	classification	classification	NOUN
bracis-28359	279	6	rules	rule	NOUN
bracis-28359	279	7	.	.	PUNCT
bracis-28359	280	1	j.	j.	PROPN
bracis-28359	280	2	artif	artif	PROPN
bracis-28359	280	3	.	.	PUNCT
bracis-28359	281	1	intell	intell	PROPN
bracis-28359	281	2	.	.	PUNCT
bracis-28359	282	1	res	re	NOUN
bracis-28359	282	2	.	.	PROPN
bracis-28359	283	1	74	74	NUM
bracis-28359	283	2	,	,	PUNCT
bracis-28359	283	3	1823–1863	1823–1863	NUM
bracis-28359	283	4	(	(	PUNCT
bracis-28359	283	5	2022	2022	NUM
bracis-28359	283	6	)	)	PUNCT
bracis-28359	283	7	article	article	NOUN
bracis-28359	283	8	  	  	SPACE
bracis-28359	283	9	mathscinet	mathscinet	NOUN
bracis-28359	283	10	  	  	SPACE
bracis-28359	283	11	math	math	NOUN
bracis-28359	283	12	  	  	SPACE
bracis-28359	283	13	google	google	PROPN
bracis-28359	283	14	scholar	scholar	NOUN
bracis-28359	283	15	  	  	SPACE
bracis-28359	283	16	ghosh	ghosh	PROPN
bracis-28359	283	17	,	,	PUNCT
bracis-28359	283	18	b.	b.	PROPN
bracis-28359	283	19	,	,	PUNCT
bracis-28359	283	20	meel	meel	PROPN
bracis-28359	283	21	,	,	PUNCT
bracis-28359	283	22	k.s	k.s	PROPN
bracis-28359	283	23	.	.	PUNCT
bracis-28359	283	24	:	:	PUNCT
bracis-28359	284	1	imli	imli	ADV
bracis-28359	284	2	:	:	PUNCT
bracis-28359	284	3	an	an	DET
bracis-28359	284	4	incremental	incremental	ADJ
bracis-28359	284	5	framework	framework	NOUN
bracis-28359	284	6	for	for	ADP
bracis-28359	284	7	maxsat	maxsat	ADJ
bracis-28359	284	8	-	-	PUNCT
bracis-28359	284	9	based	base	VERB
bracis-28359	284	10	learning	learning	NOUN
bracis-28359	284	11	of	of	ADP
bracis-28359	284	12	interpretable	interpretable	ADJ
bracis-28359	284	13	classification	classification	NOUN
bracis-28359	284	14	rules	rule	NOUN
bracis-28359	284	15	.	.	PUNCT
bracis-28359	285	1	in	in	ADP
bracis-28359	285	2	:	:	PUNCT
bracis-28359	285	3	proceedings	proceeding	NOUN
bracis-28359	285	4	of	of	ADP
bracis-28359	285	5	the	the	DET
bracis-28359	285	6	2019	2019	NUM
bracis-28359	285	7	aaai	aaai	PROPN
bracis-28359	285	8	/	/	SYM
bracis-28359	285	9	acm	acm	PROPN
bracis-28359	285	10	conference	conference	NOUN
bracis-28359	285	11	on	on	ADP
bracis-28359	285	12	ai	ai	PROPN
bracis-28359	285	13	,	,	PUNCT
bracis-28359	285	14	ethics	ethic	NOUN
bracis-28359	285	15	,	,	PUNCT
bracis-28359	285	16	and	and	CCONJ
bracis-28359	285	17	society	society	NOUN
bracis-28359	285	18	,	,	PUNCT
bracis-28359	285	19	pp	pp	ADV
bracis-28359	285	20	.	.	PUNCT
bracis-28359	286	1	203–210	203–210	NUM
bracis-28359	286	2	(	(	PUNCT
bracis-28359	286	3	2019	2019	NUM
bracis-28359	286	4	)	)	PUNCT
bracis-28359	286	5	google	google	NOUN
bracis-28359	286	6	scholar	scholar	NOUN
bracis-28359	286	7	  	  	SPACE
bracis-28359	286	8	gunning	gunning	NOUN
bracis-28359	286	9	,	,	PUNCT
bracis-28359	286	10	d.	d.	PROPN
bracis-28359	286	11	,	,	PUNCT
bracis-28359	286	12	stefik	stefik	VERB
bracis-28359	286	13	,	,	PUNCT
bracis-28359	286	14	m.	m.	NOUN
bracis-28359	286	15	,	,	PUNCT
bracis-28359	286	16	choi	choi	NOUN
bracis-28359	286	17	,	,	PUNCT
bracis-28359	286	18	j.	j.	PROPN
bracis-28359	286	19	,	,	PUNCT
bracis-28359	286	20	miller	miller	PROPN
bracis-28359	286	21	,	,	PUNCT
bracis-28359	286	22	t.	t.	PROPN
bracis-28359	286	23	,	,	PUNCT
bracis-28359	286	24	stumpf	stumpf	PROPN
bracis-28359	286	25	,	,	PUNCT
bracis-28359	286	26	s.	s.	PROPN
bracis-28359	286	27	,	,	PUNCT
bracis-28359	286	28	yang	yang	PROPN
bracis-28359	286	29	,	,	PUNCT
bracis-28359	286	30	g.z	g.z	PROPN
bracis-28359	286	31	.	.	PROPN
bracis-28359	286	32	:	:	PUNCT
bracis-28359	287	1	xai	xai	PROPN
bracis-28359	287	2	-	-	PUNCT
bracis-28359	287	3	explainable	explainable	ADJ
bracis-28359	287	4	artificial	artificial	ADJ
bracis-28359	287	5	intelligence	intelligence	NOUN
bracis-28359	287	6	.	.	PUNCT
bracis-28359	288	1	sci	sci	PROPN
bracis-28359	288	2	.	.	PROPN
bracis-28359	288	3	robot	robot	PROPN
bracis-28359	288	4	.	.	PUNCT
bracis-28359	289	1	4(37	4(37	NUM
bracis-28359	289	2	)	)	PUNCT
bracis-28359	289	3	,	,	PUNCT
bracis-28359	290	1	eaay7120	eaay7120	PROPN
bracis-28359	290	2	(	(	PUNCT
bracis-28359	290	3	2019	2019	NUM
bracis-28359	290	4	)	)	PUNCT
bracis-28359	290	5	google	google	PROPN
bracis-28359	290	6	scholar	scholar	NOUN
bracis-28359	290	7	  	  	SPACE
bracis-28359	290	8	huang	huang	PROPN
bracis-28359	290	9	,	,	PUNCT
bracis-28359	290	10	h.y	h.y	PROPN
bracis-28359	290	11	.	.	PROPN
bracis-28359	290	12	,	,	PUNCT
bracis-28359	290	13	et	et	PROPN
bracis-28359	290	14	al	al	PROPN
bracis-28359	290	15	.	.	PUNCT
bracis-28359	290	16	:	:	PUNCT
bracis-28359	291	1	power	power	NOUN
bracis-28359	291	2	of	of	ADP
bracis-28359	291	3	data	datum	NOUN
bracis-28359	291	4	in	in	ADP
bracis-28359	291	5	quantum	quantum	ADJ
bracis-28359	291	6	machine	machine	NOUN
bracis-28359	291	7	learning	learning	NOUN
bracis-28359	291	8	.	.	PUNCT
bracis-28359	292	1	nat	nat	PROPN
bracis-28359	292	2	.	.	PUNCT
bracis-28359	293	1	commun	commun	PROPN
bracis-28359	293	2	.	.	PUNCT
bracis-28359	294	1	12(1	12(1	NUM
bracis-28359	294	2	)	)	PUNCT
bracis-28359	294	3	,	,	PUNCT
bracis-28359	294	4	2631	2631	NUM
bracis-28359	294	5	(	(	PUNCT
bracis-28359	294	6	2021	2021	NUM
bracis-28359	294	7	)	)	PUNCT
bracis-28359	294	8	article	article	NOUN
bracis-28359	294	9	  	  	SPACE
bracis-28359	294	10	google	google	PROPN
bracis-28359	294	11	scholar	scholar	NOUN
bracis-28359	294	12	  	  	SPACE
bracis-28359	294	13	ignatiev	ignatiev	NOUN
bracis-28359	294	14	,	,	PUNCT
bracis-28359	294	15	a.	a.	NOUN
bracis-28359	294	16	,	,	PUNCT
bracis-28359	294	17	marques	marques	PROPN
bracis-28359	294	18	-	-	NOUN
bracis-28359	294	19	silva	silva	PROPN
bracis-28359	294	20	,	,	PUNCT
bracis-28359	294	21	j.	j.	PROPN
bracis-28359	294	22	,	,	PUNCT
bracis-28359	294	23	narodytska	narodytska	PROPN
bracis-28359	294	24	,	,	PUNCT
bracis-28359	294	25	n.	n.	PROPN
bracis-28359	294	26	,	,	PUNCT
bracis-28359	294	27	stuckey	stuckey	PROPN
bracis-28359	294	28	,	,	PUNCT
bracis-28359	294	29	p.j	p.j	PROPN
bracis-28359	294	30	.	.	PUNCT
bracis-28359	294	31	:	:	PUNCT
bracis-28359	294	32	reasoning	reason	VERB
bracis-28359	294	33	-	-	PUNCT
bracis-28359	294	34	based	base	VERB
bracis-28359	294	35	learning	learning	NOUN
bracis-28359	294	36	of	of	ADP
bracis-28359	294	37	interpretable	interpretable	ADJ
bracis-28359	294	38	ml	ml	NOUN
bracis-28359	294	39	models	model	NOUN
bracis-28359	294	40	.	.	PUNCT
bracis-28359	295	1	in	in	ADP
bracis-28359	295	2	:	:	PUNCT
bracis-28359	295	3	ijcai	ijcai	NOUN
bracis-28359	295	4	,	,	PUNCT
bracis-28359	295	5	pp	pp	X
bracis-28359	295	6	.	.	PUNCT
bracis-28359	296	1	4458–4465	4458–4465	NUM
bracis-28359	296	2	(	(	PUNCT
bracis-28359	296	3	2021	2021	NUM
bracis-28359	296	4	)	)	PUNCT
bracis-28359	296	5	google	google	NOUN
bracis-28359	296	6	scholar	scholar	NOUN
bracis-28359	296	7	  	  	SPACE
bracis-28359	296	8	ignatiev	ignatiev	NOUN
bracis-28359	296	9	,	,	PUNCT
bracis-28359	296	10	a.	a.	NOUN
bracis-28359	296	11	,	,	PUNCT
bracis-28359	296	12	morgado	morgado	NOUN
bracis-28359	296	13	,	,	PUNCT
bracis-28359	296	14	a.	a.	NOUN
bracis-28359	296	15	,	,	PUNCT
bracis-28359	296	16	marques	marques	PROPN
bracis-28359	296	17	-	-	NOUN
bracis-28359	296	18	silva	silva	PROPN
bracis-28359	296	19	,	,	PUNCT
bracis-28359	296	20	j.	j.	PROPN
bracis-28359	296	21	:	:	PUNCT
bracis-28359	296	22	rc2	rc2	PROPN
bracis-28359	296	23	:	:	PUNCT
bracis-28359	296	24	an	an	DET
bracis-28359	296	25	efficient	efficient	ADJ
bracis-28359	296	26	maxsat	maxsat	NOUN
bracis-28359	296	27	solver	solver	NOUN
bracis-28359	296	28	.	.	PUNCT
bracis-28359	297	1	j.	j.	PROPN
bracis-28359	297	2	satisfiability	satisfiability	PROPN
bracis-28359	297	3	boolean	boolean	ADJ
bracis-28359	297	4	modeling	modeling	NOUN
bracis-28359	297	5	comput	comput	NOUN
bracis-28359	297	6	.	.	PUNCT
bracis-28359	298	1	11(1	11(1	NUM
bracis-28359	298	2	)	)	PUNCT
bracis-28359	298	3	,	,	PUNCT
bracis-28359	298	4	53–64	53–64	NUM
bracis-28359	298	5	(	(	PUNCT
bracis-28359	298	6	2019	2019	NUM
bracis-28359	298	7	)	)	PUNCT
bracis-28359	298	8	article	article	NOUN
bracis-28359	298	9	  	  	SPACE
bracis-28359	298	10	mathscinet	mathscinet	NOUN
bracis-28359	298	11	  	  	SPACE
bracis-28359	298	12	math	math	NOUN
bracis-28359	298	13	  	  	SPACE
bracis-28359	298	14	google	google	PROPN
bracis-28359	298	15	scholar	scholar	NOUN
bracis-28359	298	16	  	  	SPACE
bracis-28359	298	17	ignatiev	ignatiev	NOUN
bracis-28359	298	18	,	,	PUNCT
bracis-28359	298	19	a.	a.	PROPN
bracis-28359	298	20	,	,	PUNCT
bracis-28359	298	21	pereira	pereira	PROPN
bracis-28359	298	22	,	,	PUNCT
bracis-28359	298	23	f.	f.	PROPN
bracis-28359	298	24	,	,	PUNCT
bracis-28359	298	25	narodytska	narodytska	PROPN
bracis-28359	298	26	,	,	PUNCT
bracis-28359	298	27	n.	n.	NOUN
bracis-28359	298	28	,	,	PUNCT
bracis-28359	298	29	marques	marques	PROPN
bracis-28359	298	30	-	-	NOUN
bracis-28359	298	31	silva	silva	PROPN
bracis-28359	298	32	,	,	PUNCT
bracis-28359	298	33	j.	j.	PROPN
bracis-28359	298	34	:	:	PUNCT
bracis-28359	298	35	a	a	DET
bracis-28359	298	36	sat	sit	VERB
bracis-28359	298	37	-	-	PUNCT
bracis-28359	298	38	based	base	VERB
bracis-28359	298	39	approach	approach	NOUN
bracis-28359	298	40	to	to	PART
bracis-28359	298	41	learn	learn	VERB
bracis-28359	298	42	explainable	explainable	ADJ
bracis-28359	298	43	decision	decision	NOUN
bracis-28359	298	44	sets	set	NOUN
bracis-28359	298	45	.	.	PUNCT
bracis-28359	299	1	in	in	ADP
bracis-28359	299	2	:	:	PUNCT
bracis-28359	299	3	galmiche	galmiche	PROPN
bracis-28359	299	4	,	,	PUNCT
bracis-28359	299	5	d.	d.	PROPN
bracis-28359	299	6	,	,	PUNCT
bracis-28359	299	7	schulz	schulz	PROPN
bracis-28359	299	8	,	,	PUNCT
bracis-28359	299	9	s.	s.	PROPN
bracis-28359	299	10	,	,	PUNCT
bracis-28359	299	11	sebastiani	sebastiani	PROPN
bracis-28359	299	12	,	,	PUNCT
bracis-28359	299	13	r.	r.	PROPN
bracis-28359	299	14	(	(	PUNCT
bracis-28359	299	15	eds	eds	PROPN
bracis-28359	299	16	.	.	PUNCT
bracis-28359	299	17	)	)	PUNCT
bracis-28359	299	18	ijcar	ijcar	VERB
bracis-28359	299	19	2018	2018	NUM
bracis-28359	299	20	.	.	PUNCT
bracis-28359	300	1	lncs	lncs	PROPN
bracis-28359	300	2	(	(	PUNCT
bracis-28359	300	3	lnai	lnai	ADJ
bracis-28359	300	4	)	)	PUNCT
bracis-28359	300	5	,	,	PUNCT
bracis-28359	300	6	vol	vol	NOUN
bracis-28359	300	7	.	.	PROPN
bracis-28359	300	8	10900	10900	NUM
bracis-28359	300	9	,	,	PUNCT
bracis-28359	300	10	pp	pp	ADJ
bracis-28359	300	11	.	.	PUNCT
bracis-28359	301	1	627–645	627–645	NUM
bracis-28359	301	2	.	.	PUNCT
bracis-28359	302	1	springer	springer	NOUN
bracis-28359	302	2	,	,	PUNCT
bracis-28359	302	3	cham	cham	PROPN
bracis-28359	302	4	(	(	PUNCT
bracis-28359	302	5	2018	2018	NUM
bracis-28359	302	6	)	)	PUNCT
bracis-28359	302	7	.	.	PUNCT
bracis-28359	303	1	https://doi.org/10.1007/978-3-319-94205-6_41	https://doi.org/10.1007/978-3-319-94205-6_41	VERB
bracis-28359	303	2	chapter	chapter	NOUN
bracis-28359	303	3	  	  	SPACE
bracis-28359	303	4	google	google	PROPN
bracis-28359	303	5	scholar	scholar	NOUN
bracis-28359	303	6	  	  	SPACE
bracis-28359	303	7	janiesch	janiesch	PROPN
bracis-28359	303	8	,	,	PUNCT
bracis-28359	303	9	c.	c.	PROPN
bracis-28359	303	10	,	,	PUNCT
bracis-28359	303	11	zschech	zschech	PROPN
bracis-28359	303	12	,	,	PUNCT
bracis-28359	303	13	p.	p.	PROPN
bracis-28359	303	14	,	,	PUNCT
bracis-28359	303	15	heinrich	heinrich	PROPN
bracis-28359	303	16	,	,	PUNCT
bracis-28359	303	17	k.	k.	PROPN
bracis-28359	303	18	:	:	PUNCT
bracis-28359	303	19	machine	machine	NOUN
bracis-28359	303	20	learning	learning	NOUN
bracis-28359	303	21	and	and	CCONJ
bracis-28359	303	22	deep	deep	ADJ
bracis-28359	303	23	learning	learning	NOUN
bracis-28359	303	24	.	.	PUNCT
bracis-28359	304	1	electron	electron	PROPN
bracis-28359	304	2	.	.	PUNCT
bracis-28359	305	1	mark	mark	PROPN
bracis-28359	305	2	.	.	PUNCT
bracis-28359	306	1	31(3	31(3	NUM
bracis-28359	306	2	)	)	PUNCT
bracis-28359	306	3	,	,	PUNCT
bracis-28359	306	4	685–695	685–695	NUM
bracis-28359	306	5	(	(	PUNCT
bracis-28359	306	6	2021	2021	NUM
bracis-28359	306	7	)	)	PUNCT
bracis-28359	306	8	article	article	NOUN
bracis-28359	306	9	  	  	SPACE
bracis-28359	306	10	google	google	PROPN
bracis-28359	306	11	scholar	scholar	NOUN
bracis-28359	306	12	  	  	SPACE
bracis-28359	306	13	jiménez	jiménez	PROPN
bracis-28359	306	14	-	-	PUNCT
bracis-28359	306	15	luna	luna	PROPN
bracis-28359	306	16	,	,	PUNCT
bracis-28359	306	17	j.	j.	PROPN
bracis-28359	306	18	,	,	PUNCT
bracis-28359	306	19	grisoni	grisoni	PROPN
bracis-28359	306	20	,	,	PUNCT
bracis-28359	306	21	f.	f.	PROPN
bracis-28359	306	22	,	,	PUNCT
bracis-28359	306	23	schneider	schneider	PROPN
bracis-28359	306	24	,	,	PUNCT
bracis-28359	306	25	g.	g.	PROPN
bracis-28359	306	26	:	:	PUNCT
bracis-28359	306	27	drug	drug	NOUN
bracis-28359	306	28	discovery	discovery	NOUN
bracis-28359	306	29	with	with	ADP
bracis-28359	306	30	explainable	explainable	ADJ
bracis-28359	306	31	artificial	artificial	ADJ
bracis-28359	306	32	intelligence	intelligence	NOUN
bracis-28359	306	33	.	.	PUNCT
bracis-28359	307	1	nat	nat	PROPN
bracis-28359	307	2	.	.	PUNCT
bracis-28359	308	1	mach	mach	PROPN
bracis-28359	308	2	.	.	PUNCT
bracis-28359	309	1	intell	intell	PROPN
bracis-28359	309	2	.	.	PUNCT
bracis-28359	310	1	2(10	2(10	NUM
bracis-28359	310	2	)	)	PUNCT
bracis-28359	310	3	,	,	PUNCT
bracis-28359	310	4	573–584	573–584	NUM
bracis-28359	310	5	(	(	PUNCT
bracis-28359	310	6	2020	2020	NUM
bracis-28359	310	7	)	)	PUNCT
bracis-28359	310	8	article	article	NOUN
bracis-28359	310	9	  	  	SPACE
bracis-28359	310	10	google	google	PROPN
bracis-28359	310	11	scholar	scholar	NOUN
bracis-28359	310	12	  	  	SPACE
bracis-28359	310	13	kwekha	kwekha	PROPN
bracis-28359	310	14	-	-	PUNCT
bracis-28359	310	15	rashid	rashid	PROPN
bracis-28359	310	16	,	,	PUNCT
bracis-28359	310	17	a.s	a.s	PROPN
bracis-28359	310	18	.	.	PROPN
bracis-28359	310	19	,	,	PUNCT
bracis-28359	310	20	abduljabbar	abduljabbar	PROPN
bracis-28359	310	21	,	,	PUNCT
bracis-28359	310	22	h.n	h.n	PROPN
bracis-28359	310	23	.	.	PROPN
bracis-28359	310	24	,	,	PUNCT
bracis-28359	310	25	alhayani	alhayani	PROPN
bracis-28359	310	26	,	,	PUNCT
bracis-28359	310	27	b.	b.	PROPN
bracis-28359	310	28	:	:	PUNCT
bracis-28359	310	29	coronavirus	coronavirus	NOUN
bracis-28359	310	30	disease	disease	NOUN
bracis-28359	310	31	(	(	PUNCT
bracis-28359	310	32	covid-19	covid-19	PROPN
bracis-28359	310	33	)	)	PUNCT
bracis-28359	310	34	cases	case	VERB
bracis-28359	310	35	analysis	analysis	NOUN
bracis-28359	310	36	using	use	VERB
bracis-28359	310	37	machine	machine	NOUN
bracis-28359	310	38	-	-	PUNCT
bracis-28359	310	39	learning	learn	VERB
bracis-28359	310	40	applications	application	NOUN
bracis-28359	310	41	.	.	PUNCT
bracis-28359	311	1	appl	appl	PROPN
bracis-28359	311	2	.	.	PUNCT
bracis-28359	312	1	nanosci	nanosci	PROPN
bracis-28359	312	2	.	.	PUNCT
bracis-28359	313	1	1–13	1–13	NOUN
bracis-28359	313	2	(	(	PUNCT
bracis-28359	313	3	2021	2021	NUM
bracis-28359	313	4	)	)	PUNCT
bracis-28359	313	5	google	google	NOUN
bracis-28359	313	6	scholar	scholar	NOUN
bracis-28359	313	7	  	  	SPACE
bracis-28359	313	8	lakkaraju	lakkaraju	PROPN
bracis-28359	313	9	,	,	PUNCT
bracis-28359	313	10	h.	h.	PROPN
bracis-28359	313	11	,	,	PUNCT
bracis-28359	313	12	bach	bach	PROPN
bracis-28359	313	13	,	,	PUNCT
bracis-28359	313	14	s.h	s.h	PROPN
bracis-28359	313	15	.	.	PROPN
bracis-28359	313	16	,	,	PUNCT
bracis-28359	313	17	leskovec	leskovec	PROPN
bracis-28359	313	18	,	,	PUNCT
bracis-28359	313	19	j.	j.	PROPN
bracis-28359	313	20	:	:	PUNCT
bracis-28359	313	21	interpretable	interpretable	ADJ
bracis-28359	313	22	decision	decision	NOUN
bracis-28359	313	23	sets	set	NOUN
bracis-28359	313	24	:	:	PUNCT
bracis-28359	313	25	a	a	DET
bracis-28359	313	26	joint	joint	ADJ
bracis-28359	313	27	framework	framework	NOUN
bracis-28359	313	28	for	for	ADP
bracis-28359	313	29	description	description	NOUN
bracis-28359	313	30	and	and	CCONJ
bracis-28359	313	31	prediction	prediction	NOUN
bracis-28359	313	32	.	.	PUNCT
bracis-28359	314	1	in	in	ADP
bracis-28359	314	2	:	:	PUNCT
bracis-28359	314	3	proceedings	proceeding	NOUN
bracis-28359	314	4	of	of	ADP
bracis-28359	314	5	the	the	DET
bracis-28359	314	6	22nd	22nd	PROPN
bracis-28359	314	7	acm	acm	PROPN
bracis-28359	314	8	sigkdd	sigkdd	PROPN
bracis-28359	314	9	international	international	ADJ
bracis-28359	314	10	conference	conference	NOUN
bracis-28359	314	11	on	on	ADP
bracis-28359	314	12	knowledge	knowledge	NOUN
bracis-28359	314	13	discovery	discovery	PROPN
bracis-28359	314	14	and	and	CCONJ
bracis-28359	314	15	data	datum	NOUN
bracis-28359	314	16	mining	mining	NOUN
bracis-28359	314	17	,	,	PUNCT
bracis-28359	314	18	pp	pp	ADP
bracis-28359	314	19	.	.	PUNCT
bracis-28359	315	1	1675–1684	1675–1684	INTJ
bracis-28359	315	2	(	(	PUNCT
bracis-28359	315	3	2016	2016	NUM
bracis-28359	315	4	)	)	PUNCT
bracis-28359	315	5	google	google	PROPN
bracis-28359	315	6	scholar	scholar	NOUN
bracis-28359	315	7	  	  	SPACE
bracis-28359	315	8	maliotov	maliotov	NOUN
bracis-28359	315	9	,	,	PUNCT
bracis-28359	315	10	d.	d.	PROPN
bracis-28359	315	11	,	,	PUNCT
bracis-28359	315	12	meel	meel	PROPN
bracis-28359	315	13	,	,	PUNCT
bracis-28359	315	14	k.s	k.s	PROPN
bracis-28359	315	15	.	.	PUNCT
bracis-28359	315	16	:	:	PUNCT
bracis-28359	316	1	mlic	mlic	NOUN
bracis-28359	316	2	:	:	PUNCT
bracis-28359	316	3	a	a	DET
bracis-28359	316	4	maxsat	maxsat	ADJ
bracis-28359	316	5	-	-	PUNCT
bracis-28359	316	6	based	base	VERB
bracis-28359	316	7	framework	framework	NOUN
bracis-28359	316	8	for	for	ADP
bracis-28359	316	9	learning	learn	VERB
bracis-28359	316	10	interpretable	interpretable	ADJ
bracis-28359	316	11	classification	classification	NOUN
bracis-28359	316	12	rules	rule	NOUN
bracis-28359	316	13	.	.	PUNCT
bracis-28359	317	1	in	in	ADP
bracis-28359	317	2	:	:	PUNCT
bracis-28359	317	3	hooker	hooker	PROPN
bracis-28359	317	4	,	,	PUNCT
bracis-28359	317	5	j.	j.	PROPN
bracis-28359	317	6	(	(	PUNCT
bracis-28359	317	7	ed	ed	NOUN
bracis-28359	317	8	.	.	PUNCT
bracis-28359	317	9	)	)	PUNCT
bracis-28359	318	1	cp	cp	NUM
bracis-28359	318	2	2018	2018	NUM
bracis-28359	318	3	.	.	PUNCT
bracis-28359	319	1	lncs	lncs	PROPN
bracis-28359	319	2	,	,	PUNCT
bracis-28359	319	3	vol	vol	NOUN
bracis-28359	319	4	.	.	PROPN
bracis-28359	319	5	11008	11008	NUM
bracis-28359	319	6	,	,	PUNCT
bracis-28359	319	7	pp	pp	ADJ
bracis-28359	319	8	.	.	PUNCT
bracis-28359	320	1	312–327	312–327	NUM
bracis-28359	320	2	.	.	PUNCT
bracis-28359	320	3	springer	springer	NOUN
bracis-28359	320	4	,	,	PUNCT
bracis-28359	320	5	cham	cham	PROPN
bracis-28359	320	6	(	(	PUNCT
bracis-28359	320	7	2018	2018	NUM
bracis-28359	320	8	)	)	PUNCT
bracis-28359	320	9	.	.	PUNCT
bracis-28359	321	1	https://doi.org/10.1007/978-3-319-98334-9_21	https://doi.org/10.1007/978-3-319-98334-9_21	PROPN
bracis-28359	321	2	chapter	chapter	NOUN
bracis-28359	321	3	  	  	SPACE
bracis-28359	321	4	google	google	PROPN
bracis-28359	321	5	scholar	scholar	NOUN
bracis-28359	321	6	  	  	SPACE
bracis-28359	321	7	mita	mita	PROPN
bracis-28359	321	8	,	,	PUNCT
bracis-28359	321	9	g.	g.	PROPN
bracis-28359	321	10	,	,	PUNCT
bracis-28359	321	11	papotti	papotti	ADJ
bracis-28359	321	12	,	,	PUNCT
bracis-28359	321	13	p.	p.	NOUN
bracis-28359	321	14	,	,	PUNCT
bracis-28359	321	15	filippone	filippone	NOUN
bracis-28359	321	16	,	,	PUNCT
bracis-28359	321	17	m.	m.	NOUN
bracis-28359	321	18	,	,	PUNCT
bracis-28359	321	19	michiardi	michiardi	PROPN
bracis-28359	321	20	,	,	PUNCT
bracis-28359	321	21	p.	p.	NOUN
bracis-28359	321	22	:	:	PUNCT
bracis-28359	322	1	libre	libre	PROPN
bracis-28359	322	2	:	:	PUNCT
bracis-28359	322	3	learning	learn	VERB
bracis-28359	322	4	interpretable	interpretable	ADJ
bracis-28359	322	5	boolean	boolean	ADJ
bracis-28359	322	6	rule	rule	NOUN
bracis-28359	322	7	ensembles	ensemble	NOUN
bracis-28359	322	8	.	.	PUNCT
bracis-28359	323	1	in	in	ADP
bracis-28359	323	2	:	:	PUNCT
bracis-28359	323	3	aistats	aistat	NOUN
bracis-28359	323	4	,	,	PUNCT
bracis-28359	323	5	pp	pp	ADV
bracis-28359	323	6	.	.	PUNCT
bracis-28359	324	1	245–255	245–255	NUM
bracis-28359	324	2	.	.	PUNCT
bracis-28359	325	1	pmlr	pmlr	NOUN
bracis-28359	325	2	(	(	PUNCT
bracis-28359	325	3	2020	2020	NUM
bracis-28359	325	4	)	)	PUNCT
bracis-28359	325	5	google	google	PROPN
bracis-28359	325	6	scholar	scholar	NOUN
bracis-28359	325	7	  	  	SPACE
bracis-28359	325	8	rocha	rocha	PROPN
bracis-28359	325	9	,	,	PUNCT
bracis-28359	325	10	t.a	t.a	PROPN
bracis-28359	325	11	.	.	PROPN
bracis-28359	325	12	,	,	PUNCT
bracis-28359	325	13	martins	martins	PROPN
bracis-28359	325	14	,	,	PUNCT
bracis-28359	325	15	a.t	a.t	PROPN
bracis-28359	325	16	.	.	PROPN
bracis-28359	325	17	:	:	PUNCT
bracis-28359	325	18	synthesis	synthesis	NOUN
bracis-28359	325	19	of	of	ADP
bracis-28359	325	20	quantifier	quantifier	NOUN
bracis-28359	325	21	-	-	PUNCT
bracis-28359	325	22	free	free	ADJ
bracis-28359	325	23	first	first	ADJ
bracis-28359	325	24	-	-	PUNCT
bracis-28359	325	25	order	order	NOUN
bracis-28359	325	26	sentences	sentence	NOUN
bracis-28359	325	27	from	from	ADP
bracis-28359	325	28	noisy	noisy	ADJ
bracis-28359	325	29	samples	sample	NOUN
bracis-28359	325	30	of	of	ADP
bracis-28359	325	31	strings	string	NOUN
bracis-28359	325	32	.	.	PUNCT
bracis-28359	326	1	in	in	ADP
bracis-28359	326	2	:	:	PUNCT
bracis-28359	326	3	2019	2019	NUM
bracis-28359	326	4	8th	8th	ADJ
bracis-28359	326	5	brazilian	brazilian	ADJ
bracis-28359	326	6	conference	conference	NOUN
bracis-28359	326	7	on	on	ADP
bracis-28359	326	8	intelligent	intelligent	ADJ
bracis-28359	326	9	systems	system	NOUN
bracis-28359	326	10	(	(	PUNCT
bracis-28359	326	11	bracis	bracis	NOUN
bracis-28359	326	12	)	)	PUNCT
bracis-28359	326	13	,	,	PUNCT
bracis-28359	326	14	pp	pp	ADJ
bracis-28359	326	15	.	.	PUNCT
bracis-28359	327	1	12–17	12–17	NUM
bracis-28359	327	2	.	.	PUNCT
bracis-28359	328	1	ieee	ieee	NOUN
bracis-28359	328	2	(	(	PUNCT
bracis-28359	328	3	2019	2019	NUM
bracis-28359	328	4	)	)	PUNCT
bracis-28359	328	5	google	google	PROPN
bracis-28359	328	6	scholar	scholar	NOUN
bracis-28359	328	7	  	  	SPACE
bracis-28359	328	8	rocha	rocha	PROPN
bracis-28359	328	9	,	,	PUNCT
bracis-28359	328	10	t.a	t.a	PROPN
bracis-28359	328	11	.	.	PROPN
bracis-28359	328	12	,	,	PUNCT
bracis-28359	328	13	martins	martins	PROPN
bracis-28359	328	14	,	,	PUNCT
bracis-28359	328	15	a.t	a.t	PROPN
bracis-28359	328	16	.	.	PROPN
bracis-28359	328	17	,	,	PUNCT
bracis-28359	328	18	ferreira	ferreira	PROPN
bracis-28359	328	19	,	,	PUNCT
bracis-28359	328	20	f.m	f.m	PROPN
bracis-28359	328	21	.	.	PROPN
bracis-28359	328	22	:	:	PUNCT
bracis-28359	328	23	synthesis	synthesis	NOUN
bracis-28359	328	24	of	of	ADP
bracis-28359	328	25	a	a	DET
bracis-28359	328	26	dnf	dnf	ADJ
bracis-28359	328	27	formula	formula	NOUN
bracis-28359	328	28	from	from	ADP
bracis-28359	328	29	a	a	DET
bracis-28359	328	30	sample	sample	NOUN
bracis-28359	328	31	of	of	ADP
bracis-28359	328	32	strings	string	NOUN
bracis-28359	328	33	using	use	VERB
bracis-28359	328	34	ehrenfeucht	ehrenfeucht	NOUN
bracis-28359	328	35	-	-	PUNCT
bracis-28359	328	36	fraïssé	fraïssé	PROPN
bracis-28359	328	37	games	games	PROPN
bracis-28359	328	38	.	.	PUNCT
bracis-28359	329	1	theoret	theoret	ADJ
bracis-28359	329	2	.	.	PUNCT
bracis-28359	330	1	comput	comput	NOUN
bracis-28359	330	2	.	.	PUNCT
bracis-28359	331	1	sci	sci	PROPN
bracis-28359	331	2	.	.	PROPN
bracis-28359	331	3	805	805	NUM
bracis-28359	331	4	,	,	PUNCT
bracis-28359	331	5	109–126	109–126	NUM
bracis-28359	331	6	(	(	PUNCT
bracis-28359	331	7	2020	2020	NUM
bracis-28359	331	8	)	)	PUNCT
bracis-28359	331	9	article	article	NOUN
bracis-28359	331	10	  	  	SPACE
bracis-28359	331	11	mathscinet	mathscinet	NOUN
bracis-28359	331	12	  	  	SPACE
bracis-28359	331	13	math	math	NOUN
bracis-28359	331	14	  	  	SPACE
bracis-28359	331	15	google	google	PROPN
bracis-28359	331	16	scholar	scholar	NOUN
bracis-28359	331	17	  	  	SPACE
bracis-28359	331	18	sharma	sharma	PROPN
bracis-28359	331	19	,	,	PUNCT
bracis-28359	331	20	a.	a.	PROPN
bracis-28359	331	21	,	,	PUNCT
bracis-28359	331	22	jain	jain	PROPN
bracis-28359	331	23	,	,	PUNCT
bracis-28359	331	24	a.	a.	PROPN
bracis-28359	331	25	,	,	PUNCT
bracis-28359	331	26	gupta	gupta	PROPN
bracis-28359	331	27	,	,	PUNCT
bracis-28359	331	28	p.	p.	PROPN
bracis-28359	331	29	,	,	PUNCT
bracis-28359	331	30	chowdary	chowdary	PROPN
bracis-28359	331	31	,	,	PUNCT
bracis-28359	331	32	v.	v.	PROPN
bracis-28359	331	33	:	:	PUNCT
bracis-28359	331	34	machine	machine	NOUN
bracis-28359	331	35	learning	learn	VERB
bracis-28359	331	36	applications	application	NOUN
bracis-28359	331	37	for	for	ADP
bracis-28359	331	38	precision	precision	NOUN
bracis-28359	331	39	agriculture	agriculture	NOUN
bracis-28359	331	40	:	:	PUNCT
bracis-28359	331	41	a	a	DET
bracis-28359	331	42	comprehensive	comprehensive	ADJ
bracis-28359	331	43	review	review	NOUN
bracis-28359	331	44	.	.	PUNCT
bracis-28359	332	1	ieee	ieee	NOUN
bracis-28359	332	2	access	access	NOUN
bracis-28359	332	3	9	9	NUM
bracis-28359	332	4	,	,	PUNCT
bracis-28359	332	5	4843–4873	4843–4873	NUM
bracis-28359	332	6	(	(	PUNCT
bracis-28359	332	7	2020	2020	NUM
bracis-28359	332	8	)	)	PUNCT
bracis-28359	332	9	article	article	NOUN
bracis-28359	332	10	  	  	SPACE
bracis-28359	332	11	google	google	PROPN
bracis-28359	332	12	scholar	scholar	NOUN
bracis-28359	332	13	  	  	SPACE
bracis-28359	332	14	tjoa	tjoa	PROPN
bracis-28359	332	15	,	,	PUNCT
bracis-28359	332	16	e.	e.	PROPN
bracis-28359	332	17	,	,	PUNCT
bracis-28359	332	18	guan	guan	PROPN
bracis-28359	332	19	,	,	PUNCT
bracis-28359	332	20	c.	c.	PROPN
bracis-28359	332	21	:	:	PUNCT
bracis-28359	332	22	a	a	DET
bracis-28359	332	23	survey	survey	NOUN
bracis-28359	332	24	on	on	ADP
bracis-28359	332	25	explainable	explainable	ADJ
bracis-28359	332	26	artificial	artificial	ADJ
bracis-28359	332	27	intelligence	intelligence	NOUN
bracis-28359	332	28	(	(	PUNCT
bracis-28359	332	29	xai	xai	PROPN
bracis-28359	332	30	):	):	PUNCT
bracis-28359	332	31	toward	toward	ADP
bracis-28359	332	32	medical	medical	ADJ
bracis-28359	332	33	xai	xai	PROPN
bracis-28359	332	34	.	.	PUNCT
bracis-28359	333	1	ieee	ieee	PROPN
bracis-28359	333	2	trans	trans	PROPN
bracis-28359	333	3	.	.	PUNCT
bracis-28359	334	1	neural	neural	ADJ
bracis-28359	334	2	netw	netw	NOUN
bracis-28359	334	3	.	.	PUNCT
bracis-28359	335	1	learn	learn	VERB
bracis-28359	335	2	.	.	PUNCT
bracis-28359	336	1	syst	syst	NOUN
bracis-28359	336	2	.	.	PUNCT
bracis-28359	337	1	32(11	32(11	NUM
bracis-28359	337	2	)	)	PUNCT
bracis-28359	337	3	,	,	PUNCT
bracis-28359	337	4	4793–4813	4793–4813	NUM
bracis-28359	337	5	(	(	PUNCT
bracis-28359	337	6	2020	2020	NUM
bracis-28359	337	7	)	)	PUNCT
bracis-28359	337	8	article	article	NOUN
bracis-28359	337	9	  	  	SPACE
bracis-28359	337	10	google	google	PROPN
bracis-28359	337	11	scholar	scholar	NOUN
bracis-28359	337	12	  	  	SPACE
bracis-28359	337	13	vilone	vilone	NOUN
bracis-28359	337	14	,	,	PUNCT
bracis-28359	337	15	g.	g.	PROPN
bracis-28359	337	16	,	,	PUNCT
bracis-28359	337	17	longo	longo	PROPN
bracis-28359	337	18	,	,	PUNCT
bracis-28359	337	19	l.	l.	PROPN
bracis-28359	337	20	:	:	PUNCT
bracis-28359	337	21	notions	notion	NOUN
bracis-28359	337	22	of	of	ADP
bracis-28359	337	23	explainability	explainability	NOUN
bracis-28359	337	24	and	and	CCONJ
bracis-28359	337	25	evaluation	evaluation	NOUN
bracis-28359	337	26	approaches	approach	NOUN
bracis-28359	337	27	for	for	ADP
bracis-28359	337	28	explainable	explainable	ADJ
bracis-28359	337	29	artificial	artificial	ADJ
bracis-28359	337	30	intelligence	intelligence	NOUN
bracis-28359	337	31	.	.	PUNCT
bracis-28359	338	1	inf	inf	PROPN
bracis-28359	338	2	.	.	PUNCT
bracis-28359	338	3	fusion	fusion	PROPN
bracis-28359	338	4	76	76	NUM
bracis-28359	338	5	,	,	PUNCT
bracis-28359	338	6	89–106	89–106	NUM
bracis-28359	338	7	(	(	PUNCT
bracis-28359	338	8	2021	2021	NUM
bracis-28359	338	9	)	)	PUNCT
bracis-28359	338	10	article	article	NOUN
bracis-28359	338	11	  	  	SPACE
bracis-28359	338	12	google	google	PROPN
bracis-28359	338	13	scholar	scholar	NOUN
bracis-28359	338	14	  	  	SPACE
bracis-28359	338	15	yan	yan	PROPN
bracis-28359	338	16	,	,	PUNCT
bracis-28359	338	17	l.	l.	PROPN
bracis-28359	338	18	,	,	PUNCT
bracis-28359	338	19	et	et	PROPN
bracis-28359	338	20	al	al	PROPN
bracis-28359	338	21	.	.	PROPN
bracis-28359	338	22	:	:	PUNCT
bracis-28359	339	1	an	an	DET
bracis-28359	339	2	interpretable	interpretable	ADJ
bracis-28359	339	3	mortality	mortality	NOUN
bracis-28359	339	4	prediction	prediction	NOUN
bracis-28359	339	5	model	model	NOUN
bracis-28359	339	6	for	for	ADP
bracis-28359	339	7	covid-19	covid-19	PROPN
bracis-28359	339	8	patients	patient	NOUN
bracis-28359	339	9	.	.	PUNCT
bracis-28359	340	1	nat	nat	NOUN
bracis-28359	340	2	.	.	PUNCT
bracis-28359	341	1	mach	mach	PROPN
bracis-28359	341	2	.	.	PUNCT
bracis-28359	342	1	intell	intell	PROPN
bracis-28359	342	2	.	.	PUNCT
bracis-28359	343	1	2(5	2(5	NUM
bracis-28359	343	2	)	)	PUNCT
bracis-28359	343	3	,	,	PUNCT
bracis-28359	343	4	283–288	283–288	NUM
bracis-28359	343	5	(	(	PUNCT
bracis-28359	343	6	2020	2020	NUM
bracis-28359	343	7	)	)	PUNCT
bracis-28359	343	8	article	article	NOUN
bracis-28359	343	9	  	  	SPACE
bracis-28359	343	10	google	google	PROPN
bracis-28359	343	11	scholar	scholar	NOUN
bracis-28359	343	12	  	  	SPACE
bracis-28359	343	13	yu	yu	PROPN
bracis-28359	343	14	,	,	PUNCT
bracis-28359	343	15	j.	j.	PROPN
bracis-28359	343	16	,	,	PUNCT
bracis-28359	343	17	ignatiev	ignatiev	PROPN
bracis-28359	343	18	,	,	PUNCT
bracis-28359	343	19	a.	a.	PROPN
bracis-28359	343	20	,	,	PUNCT
bracis-28359	343	21	stuckey	stuckey	PROPN
bracis-28359	343	22	,	,	PUNCT
bracis-28359	343	23	p.j	p.j	PROPN
bracis-28359	343	24	.	.	PROPN
bracis-28359	343	25	,	,	PUNCT
bracis-28359	343	26	le	le	X
bracis-28359	343	27	bodic	bodic	NOUN
bracis-28359	343	28	,	,	PUNCT
bracis-28359	343	29	p.	p.	NOUN
bracis-28359	343	30	:	:	PUNCT
bracis-28359	344	1	computing	compute	VERB
bracis-28359	344	2	optimal	optimal	ADJ
bracis-28359	344	3	decision	decision	NOUN
bracis-28359	344	4	sets	set	NOUN
bracis-28359	344	5	with	with	ADP
bracis-28359	344	6	 	 	SPACE
bracis-28359	344	7	sat	sit	VERB
bracis-28359	344	8	.	.	PUNCT
bracis-28359	345	1	in	in	ADP
bracis-28359	345	2	:	:	PUNCT
bracis-28359	345	3	simonis	simonis	PROPN
bracis-28359	345	4	,	,	PUNCT
bracis-28359	345	5	h.	h.	PROPN
bracis-28359	345	6	(	(	PUNCT
bracis-28359	345	7	ed	ed	NOUN
bracis-28359	345	8	.	.	PUNCT
bracis-28359	345	9	)	)	PUNCT
bracis-28359	346	1	cp	cp	NUM
bracis-28359	346	2	2020	2020	NUM
bracis-28359	346	3	.	.	PUNCT
bracis-28359	347	1	lncs	lncs	PROPN
bracis-28359	347	2	,	,	PUNCT
bracis-28359	347	3	vol	vol	NOUN
bracis-28359	347	4	.	.	NOUN
bracis-28359	347	5	12333	12333	NUM
bracis-28359	347	6	,	,	PUNCT
bracis-28359	347	7	pp	pp	ADV
bracis-28359	347	8	.	.	PUNCT
bracis-28359	348	1	952–970	952–970	NUM
bracis-28359	348	2	.	.	PUNCT
bracis-28359	348	3	springer	springer	NOUN
bracis-28359	348	4	,	,	PUNCT
bracis-28359	348	5	cham	cham	PROPN
bracis-28359	348	6	(	(	PUNCT
bracis-28359	348	7	2020	2020	NUM
bracis-28359	348	8	)	)	PUNCT
bracis-28359	348	9	.	.	PUNCT
bracis-28359	349	1	https://doi.org/10.1007/978-3-030-58475-7_55	https://doi.org/10.1007/978-3-030-58475-7_55	PROPN
bracis-28359	349	2	chapter	chapter	NOUN
bracis-28359	349	3	  	  	SPACE
bracis-28359	349	4	google	google	PROPN
bracis-28359	349	5	scholar	scholar	NOUN
bracis-28359	349	6	  	  	SPACE
bracis-28359	349	7	download	download	NOUN
bracis-28359	349	8	references	reference	NOUN
bracis-28359	349	9	author	author	NOUN
bracis-28359	349	10	information	information	NOUN
bracis-28359	349	11	authors	author	NOUN
bracis-28359	349	12	and	and	CCONJ
bracis-28359	349	13	affiliations	affiliation	NOUN
bracis-28359	349	14	instituto	instituto	PROPN
bracis-28359	349	15	federal	federal	PROPN
bracis-28359	349	16	de	de	PROPN
bracis-28359	349	17	educação	educação	PROPN
bracis-28359	349	18	,	,	PUNCT
bracis-28359	349	19	ciência	ciência	PROPN
bracis-28359	349	20	e	e	NOUN
bracis-28359	349	21	tecnologia	tecnologia	NOUN
bracis-28359	349	22	do	do	VERB
bracis-28359	349	23	ceará	ceará	NOUN
bracis-28359	349	24	(	(	PUNCT
bracis-28359	349	25	ifce	ifce	PROPN
bracis-28359	349	26	)	)	PUNCT
bracis-28359	349	27	,	,	PUNCT
bracis-28359	349	28	fortaleza	fortaleza	PROPN
bracis-28359	349	29	,	,	PUNCT
bracis-28359	349	30	brazil	brazil	PROPN
bracis-28359	349	31	antônio	antônio	PROPN
bracis-28359	349	32	carlos	carlos	PROPN
bracis-28359	349	33	souza	souza	PROPN
bracis-28359	349	34	ferreira	ferreira	PROPN
bracis-28359	349	35	júnior	júnior	PROPN
bracis-28359	349	36	 	 	SPACE
bracis-28359	349	37	&	&	CCONJ
bracis-28359	349	38	 	 	SPACE
bracis-28359	349	39	thiago	thiago	PROPN
bracis-28359	349	40	alves	alves	PROPN
bracis-28359	349	41	rocha	rocha	PROPN
bracis-28359	349	42	authors	authors	PROPN
bracis-28359	349	43	antônio	antônio	PROPN
bracis-28359	349	44	carlos	carlos	PROPN
bracis-28359	349	45	souza	souza	PROPN
bracis-28359	349	46	ferreira	ferreira	PROPN
bracis-28359	349	47	júniorview	júniorview	PROPN
bracis-28359	349	48	author	author	NOUN
bracis-28359	349	49	publications	publication	NOUN
bracis-28359	349	50	search	search	NOUN
bracis-28359	349	51	author	author	NOUN
bracis-28359	349	52	on	on	ADP
bracis-28359	349	53	:	:	PUNCT
bracis-28359	349	54	pubmed	pubmed	PROPN
bracis-28359	349	55	 	 	SPACE
bracis-28359	349	56	google	google	PROPN
bracis-28359	349	57	scholar	scholar	NOUN
bracis-28359	349	58	thiago	thiago	PROPN
bracis-28359	349	59	alves	alves	PROPN
bracis-28359	349	60	rochaview	rochaview	PROPN
bracis-28359	349	61	author	author	NOUN
bracis-28359	349	62	publications	publication	NOUN
bracis-28359	349	63	search	search	NOUN
bracis-28359	349	64	author	author	NOUN
bracis-28359	349	65	on	on	ADP
bracis-28359	349	66	:	:	PUNCT
bracis-28359	349	67	pubmed	pubmed	PROPN
bracis-28359	349	68	 	 	SPACE
bracis-28359	349	69	google	google	PROPN
bracis-28359	349	70	scholar	scholar	NOUN
bracis-28359	349	71	corresponding	correspond	VERB
bracis-28359	349	72	author	author	NOUN
bracis-28359	349	73	correspondence	correspondence	NOUN
bracis-28359	349	74	to	to	PART
bracis-28359	349	75	antônio	antônio	PROPN
bracis-28359	349	76	carlos	carlos	PROPN
bracis-28359	349	77	souza	souza	PROPN
bracis-28359	349	78	ferreira	ferreira	PROPN
bracis-28359	349	79	júnior	júnior	PROPN
bracis-28359	349	80	.	.	PUNCT
bracis-28359	350	1	editor	editor	NOUN
bracis-28359	350	2	information	information	NOUN
bracis-28359	350	3	editors	editor	NOUN
bracis-28359	350	4	and	and	CCONJ
bracis-28359	350	5	affiliations	affiliation	NOUN
bracis-28359	350	6	federal	federal	PROPN
bracis-28359	350	7	university	university	PROPN
bracis-28359	350	8	of	of	ADP
bracis-28359	350	9	são	são	PROPN
bracis-28359	350	10	carlos	carlos	PROPN
bracis-28359	350	11	,	,	PUNCT
bracis-28359	350	12	são	são	PROPN
bracis-28359	350	13	carlos	carlos	PROPN
bracis-28359	350	14	,	,	PUNCT
bracis-28359	350	15	brazil	brazil	PROPN
bracis-28359	350	16	murilo	murilo	PROPN
bracis-28359	350	17	c.	c.	PROPN
bracis-28359	350	18	naldi	naldi	PROPN
bracis-28359	350	19	centro	centro	PROPN
bracis-28359	350	20	universitario	universitario	PROPN
bracis-28359	350	21	da	da	PROPN
bracis-28359	350	22	fei	fei	PROPN
bracis-28359	350	23	,	,	PUNCT
bracis-28359	350	24	são	são	PROPN
bracis-28359	350	25	bernardo	bernardo	PROPN
bracis-28359	350	26	do	do	AUX
bracis-28359	350	27	campo	campo	PROPN
bracis-28359	350	28	,	,	PUNCT
bracis-28359	350	29	brazil	brazil	PROPN
bracis-28359	350	30	reinaldo	reinaldo	PROPN
bracis-28359	350	31	a.	a.	PROPN
bracis-28359	350	32	c.	c.	PROPN
bracis-28359	350	33	bianchi	bianchi	PROPN
bracis-28359	350	34	rights	right	NOUN
bracis-28359	350	35	and	and	CCONJ
bracis-28359	350	36	permissions	permission	NOUN
bracis-28359	350	37	reprints	reprint	NOUN
bracis-28359	350	38	and	and	CCONJ
bracis-28359	350	39	permissions	permission	VERB
bracis-28359	350	40	copyright	copyright	NOUN
bracis-28359	350	41	information	information	NOUN
bracis-28359	350	42	©	©	ADP
bracis-28359	350	43	2023	2023	NUM
bracis-28359	350	44	the	the	DET
bracis-28359	350	45	author(s	author(s	NOUN
bracis-28359	350	46	)	)	PUNCT
bracis-28359	350	47	,	,	PUNCT
bracis-28359	350	48	under	under	ADP
bracis-28359	350	49	exclusive	exclusive	ADJ
bracis-28359	350	50	license	license	NOUN
bracis-28359	350	51	to	to	ADP
bracis-28359	350	52	springer	springer	NOUN
bracis-28359	350	53	nature	nature	PROPN
bracis-28359	350	54	switzerland	switzerland	PROPN
bracis-28359	350	55	ag	ag	PROPN
bracis-28359	350	56	about	about	ADP
bracis-28359	350	57	this	this	DET
bracis-28359	350	58	paper	paper	NOUN
bracis-28359	350	59	cite	cite	VERB
bracis-28359	350	60	this	this	DET
bracis-28359	350	61	paper	paper	NOUN
bracis-28359	350	62	ferreira	ferreira	PROPN
bracis-28359	350	63	júnior	júnior	PROPN
bracis-28359	350	64	,	,	PUNCT
bracis-28359	350	65	a.c.s	a.c.s	PROPN
bracis-28359	350	66	.	.	PROPN
bracis-28359	350	67	,	,	PUNCT
bracis-28359	350	68	rocha	rocha	PROPN
bracis-28359	350	69	,	,	PUNCT
bracis-28359	350	70	t.a	t.a	PROPN
bracis-28359	350	71	.	.	PROPN
bracis-28359	350	72	(	(	PUNCT
bracis-28359	350	73	2023	2023	NUM
bracis-28359	350	74	)	)	PUNCT
bracis-28359	350	75	.	.	PUNCT
bracis-28359	351	1	an	an	DET
bracis-28359	351	2	incremental	incremental	ADJ
bracis-28359	351	3	maxsat	maxsat	NOUN
bracis-28359	351	4	-	-	PUNCT
bracis-28359	351	5	based	base	VERB
bracis-28359	351	6	model	model	NOUN
bracis-28359	351	7	to	to	PART
bracis-28359	351	8	 	 	SPACE
bracis-28359	351	9	learn	learn	VERB
bracis-28359	351	10	interpretable	interpretable	ADJ
bracis-28359	351	11	and	and	CCONJ
bracis-28359	351	12	 	 	SPACE
bracis-28359	351	13	balanced	balanced	ADJ
bracis-28359	351	14	classification	classification	NOUN
bracis-28359	351	15	rules	rule	NOUN
bracis-28359	351	16	.	.	PUNCT
bracis-28359	352	1	in	in	ADP
bracis-28359	352	2	:	:	PUNCT
bracis-28359	352	3	naldi	naldi	PROPN
bracis-28359	352	4	,	,	PUNCT
bracis-28359	352	5	m.c	m.c	PROPN
bracis-28359	352	6	.	.	PROPN
bracis-28359	352	7	,	,	PUNCT
bracis-28359	352	8	bianchi	bianchi	PROPN
bracis-28359	352	9	,	,	PUNCT
bracis-28359	352	10	r.a.c	r.a.c	ADP
bracis-28359	352	11	.	.	PUNCT
bracis-28359	352	12	(	(	PUNCT
bracis-28359	352	13	eds	ed	NOUN
bracis-28359	352	14	)	)	PUNCT
bracis-28359	352	15	intelligent	intelligent	ADJ
bracis-28359	352	16	systems	system	NOUN
bracis-28359	352	17	.	.	PUNCT
bracis-28359	353	1	bracis	bracis	PROPN
bracis-28359	353	2	2023	2023	NUM
bracis-28359	353	3	.	.	PUNCT
bracis-28359	354	1	lecture	lecture	NOUN
bracis-28359	354	2	notes	note	NOUN
bracis-28359	354	3	in	in	ADP
bracis-28359	354	4	computer	computer	NOUN
bracis-28359	354	5	science	science	NOUN
bracis-28359	354	6	(	(	PUNCT
bracis-28359	354	7	)	)	PUNCT
bracis-28359	354	8	,	,	PUNCT
bracis-28359	354	9	vol	vol	NOUN
bracis-28359	354	10	14195	14195	NUM
bracis-28359	354	11	.	.	PUNCT
bracis-28359	355	1	springer	springer	NOUN
bracis-28359	355	2	,	,	PUNCT
bracis-28359	355	3	cham	cham	PROPN
bracis-28359	355	4	.	.	PUNCT
bracis-28359	356	1	https://doi.org/10.1007/978-3-031-45368-7_15	https://doi.org/10.1007/978-3-031-45368-7_15	NOUN
bracis-28359	356	2	download	download	NOUN
bracis-28359	356	3	citation	citation	NOUN
bracis-28359	356	4	.ris	.ris	PUNCT
bracis-28359	356	5	.enw	.enw	PROPN
bracis-28359	356	6	.bib	.bib	PUNCT
bracis-28359	357	1	doi	doi	PROPN
bracis-28359	357	2	:	:	PUNCT
bracis-28359	357	3	https://doi.org/10.1007/978-3-031-45368-7_15	https://doi.org/10.1007/978-3-031-45368-7_15	PROPN
bracis-28359	357	4	published	publish	VERB
bracis-28359	357	5	:	:	PUNCT
bracis-28359	357	6	12	12	NUM
bracis-28359	357	7	october	october	PROPN
bracis-28359	357	8	2023	2023	NUM
bracis-28359	357	9	publisher	publisher	NOUN
bracis-28359	357	10	name	name	NOUN
bracis-28359	357	11	:	:	PUNCT
bracis-28359	357	12	springer	springer	NOUN
bracis-28359	357	13	,	,	PUNCT
bracis-28359	357	14	cham	cham	PROPN
bracis-28359	357	15	print	print	PROPN
bracis-28359	357	16	isbn	isbn	PROPN
bracis-28359	357	17	:	:	PUNCT
bracis-28359	357	18	978	978	NUM
bracis-28359	357	19	-	-	SYM
bracis-28359	357	20	3	3	NUM
bracis-28359	357	21	-	-	PUNCT
bracis-28359	357	22	031	031	NUM
bracis-28359	357	23	-	-	PUNCT
bracis-28359	357	24	45367	45367	NUM
bracis-28359	357	25	-	-	PUNCT
bracis-28359	357	26	0	0	NUM
bracis-28359	357	27	online	online	ADJ
bracis-28359	357	28	isbn	isbn	NOUN
bracis-28359	357	29	:	:	PUNCT
bracis-28359	357	30	978	978	NUM
bracis-28359	357	31	-	-	SYM
bracis-28359	357	32	3	3	NUM
bracis-28359	357	33	-	-	PUNCT
bracis-28359	357	34	031	031	NUM
bracis-28359	357	35	-	-	PUNCT
bracis-28359	357	36	45368	45368	NUM
bracis-28359	357	37	-	-	PUNCT
bracis-28359	357	38	7	7	NUM
bracis-28359	357	39	ebook	ebook	NOUN
bracis-28359	357	40	packages	package	NOUN
bracis-28359	357	41	:	:	PUNCT
bracis-28359	357	42	computer	computer	NOUN
bracis-28359	357	43	sciencecomputer	sciencecomputer	NOUN
bracis-28359	357	44	science	science	NOUN
bracis-28359	357	45	(	(	PUNCT
bracis-28359	357	46	r0	r0	NOUN
bracis-28359	357	47	)	)	PUNCT
bracis-28359	357	48	share	share	VERB
bracis-28359	357	49	this	this	DET
bracis-28359	357	50	paper	paper	NOUN
bracis-28359	357	51	anyone	anyone	PRON
bracis-28359	357	52	you	you	PRON
bracis-28359	357	53	share	share	VERB
bracis-28359	357	54	the	the	DET
bracis-28359	357	55	following	follow	VERB
bracis-28359	357	56	link	link	NOUN
bracis-28359	357	57	with	with	ADP
bracis-28359	357	58	will	will	AUX
bracis-28359	357	59	be	be	AUX
bracis-28359	357	60	able	able	ADJ
bracis-28359	357	61	to	to	PART
bracis-28359	357	62	read	read	VERB
bracis-28359	357	63	this	this	DET
bracis-28359	357	64	content	content	NOUN
bracis-28359	357	65	:	:	PUNCT
bracis-28359	357	66	get	get	VERB
bracis-28359	357	67	shareable	shareable	ADJ
bracis-28359	357	68	linksorry	linksorry	NOUN
bracis-28359	357	69	,	,	PUNCT
bracis-28359	357	70	a	a	DET
bracis-28359	357	71	shareable	shareable	ADJ
bracis-28359	357	72	link	link	NOUN
bracis-28359	357	73	is	be	AUX
bracis-28359	357	74	not	not	PART
bracis-28359	357	75	currently	currently	ADV
bracis-28359	357	76	available	available	ADJ
bracis-28359	357	77	for	for	ADP
bracis-28359	357	78	this	this	DET
bracis-28359	357	79	article	article	NOUN
bracis-28359	357	80	.	.	PUNCT
bracis-28359	358	1	copy	copy	VERB
bracis-28359	358	2	shareable	shareable	ADJ
bracis-28359	358	3	link	link	NOUN
bracis-28359	358	4	to	to	PART
bracis-28359	358	5	clipboard	clipboard	NOUN
bracis-28359	358	6	provided	provide	VERB
bracis-28359	358	7	by	by	ADP
bracis-28359	358	8	the	the	DET
bracis-28359	358	9	springer	springer	NOUN
bracis-28359	358	10	nature	nature	PROPN
bracis-28359	358	11	sharedit	sharedit	PROPN
bracis-28359	358	12	content	content	NOUN
bracis-28359	358	13	-	-	PUNCT
bracis-28359	358	14	sharing	share	VERB
bracis-28359	358	15	initiative	initiative	NOUN
bracis-28359	358	16	keywords	keyword	NOUN
bracis-28359	358	17	interpretable	interpretable	ADJ
bracis-28359	358	18	artificial	artificial	ADJ
bracis-28359	358	19	intelligence	intelligence	NOUN
bracis-28359	358	20	explainable	explainable	ADJ
bracis-28359	358	21	artificial	artificial	ADJ
bracis-28359	358	22	intelligence	intelligence	NOUN
bracis-28359	358	23	rule	rule	NOUN
bracis-28359	358	24	learning	learn	VERB
bracis-28359	358	25	maximum	maximum	ADJ
bracis-28359	358	26	satisfiability	satisfiability	NOUN
bracis-28359	358	27	publish	publish	VERB
bracis-28359	358	28	with	with	ADP
bracis-28359	358	29	us	us	PROPN
bracis-28359	358	30	policies	policy	NOUN
bracis-28359	358	31	and	and	CCONJ
bracis-28359	358	32	ethics	ethic	NOUN
bracis-28359	358	33	search	search	NOUN
bracis-28359	358	34	search	search	NOUN
bracis-28359	358	35	by	by	ADP
bracis-28359	358	36	keyword	keyword	NOUN
bracis-28359	358	37	or	or	CCONJ
bracis-28359	358	38	author	author	NOUN
bracis-28359	358	39	search	search	NOUN
bracis-28359	358	40	navigation	navigation	NOUN
bracis-28359	358	41	find	find	VERB
bracis-28359	358	42	a	a	DET
bracis-28359	358	43	journal	journal	NOUN
bracis-28359	358	44	publish	publish	VERB
bracis-28359	358	45	with	with	ADP
bracis-28359	358	46	us	we	PRON
bracis-28359	358	47	track	track	VERB
bracis-28359	358	48	your	your	PRON
bracis-28359	358	49	research	research	NOUN
bracis-28359	358	50	discover	discover	VERB
bracis-28359	358	51	content	content	NOUN
bracis-28359	358	52	journals	journal	NOUN
bracis-28359	358	53	a	a	DET
bracis-28359	358	54	-	-	PUNCT
bracis-28359	358	55	z	z	NOUN
bracis-28359	358	56	books	book	NOUN
bracis-28359	358	57	a	a	DET
bracis-28359	358	58	-	-	PUNCT
bracis-28359	358	59	z	z	NOUN
bracis-28359	358	60	publish	publish	NOUN
bracis-28359	358	61	with	with	ADP
bracis-28359	358	62	us	us	PROPN
bracis-28359	358	63	journal	journal	PROPN
bracis-28359	358	64	finder	finder	PROPN
bracis-28359	358	65	publish	publish	VERB
bracis-28359	358	66	your	your	PRON
bracis-28359	358	67	research	research	NOUN
bracis-28359	358	68	language	language	NOUN
bracis-28359	358	69	editing	edit	VERB
bracis-28359	358	70	open	open	ADJ
bracis-28359	358	71	access	access	NOUN
bracis-28359	358	72	publishing	publishing	NOUN
bracis-28359	358	73	products	product	NOUN
bracis-28359	358	74	and	and	CCONJ
bracis-28359	358	75	services	service	NOUN
bracis-28359	358	76	our	our	PRON
bracis-28359	358	77	products	product	NOUN
bracis-28359	358	78	librarians	librarian	VERB
bracis-28359	358	79	societies	society	NOUN
bracis-28359	358	80	partners	partner	NOUN
bracis-28359	358	81	and	and	CCONJ
bracis-28359	358	82	advertisers	advertiser	NOUN
bracis-28359	358	83	our	our	PRON
bracis-28359	358	84	brands	brand	NOUN
bracis-28359	358	85	springer	springer	NOUN
bracis-28359	358	86	nature	nature	PROPN
bracis-28359	358	87	portfolio	portfolio	PROPN
bracis-28359	358	88	bmc	bmc	PROPN
bracis-28359	358	89	palgrave	palgrave	PROPN
bracis-28359	358	90	macmillan	macmillan	PROPN
bracis-28359	358	91	apress	apress	PROPN
bracis-28359	358	92	discover	discover	VERB
bracis-28359	358	93	your	your	PRON
bracis-28359	358	94	privacy	privacy	NOUN
bracis-28359	358	95	choices	choice	NOUN
bracis-28359	358	96	/	/	SYM
bracis-28359	358	97	manage	manage	NOUN
bracis-28359	358	98	cookies	cookie	NOUN
bracis-28359	358	99	your	your	PRON
bracis-28359	358	100	us	us	PROPN
bracis-28359	359	1	state	state	NOUN
bracis-28359	359	2	privacy	privacy	NOUN
bracis-28359	359	3	rights	right	NOUN
bracis-28359	359	4	accessibility	accessibility	NOUN
bracis-28359	359	5	statement	statement	NOUN
bracis-28359	359	6	terms	term	NOUN
bracis-28359	359	7	and	and	CCONJ
bracis-28359	359	8	conditions	condition	NOUN
bracis-28359	359	9	privacy	privacy	NOUN
bracis-28359	359	10	policy	policy	NOUN
bracis-28359	359	11	help	help	NOUN
bracis-28359	359	12	and	and	CCONJ
bracis-28359	359	13	support	support	VERB
bracis-28359	359	14	legal	legal	ADJ
bracis-28359	359	15	notice	notice	NOUN
bracis-28359	359	16	cancel	cancel	VERB
bracis-28359	359	17	contracts	contract	NOUN
bracis-28359	359	18	here	here	ADV
bracis-28359	359	19	129.74.145.123	129.74.145.123	NUM
bracis-28359	359	20	hesburgh	hesburgh	PROPN
bracis-28359	359	21	library	library	PROPN
bracis-28359	359	22	er	er	INTJ
bracis-28359	359	23	unit	unit	NOUN
bracis-28359	359	24	(	(	PUNCT
bracis-28359	359	25	3005732405	3005732405	NUM
bracis-28359	359	26	)	)	PUNCT
bracis-28359	359	27	northeast	northeast	ADJ
bracis-28359	359	28	research	research	NOUN
bracis-28359	359	29	libraries	library	NOUN
bracis-28359	359	30	(	(	PUNCT
bracis-28359	359	31	nerl	nerl	PROPN
bracis-28359	359	32	)	)	PUNCT
bracis-28359	359	33	(	(	PUNCT
bracis-28359	359	34	8200828607	8200828607	NUM
bracis-28359	359	35	)	)	PUNCT
bracis-28359	359	36	nerl	nerl	VERB
bracis-28359	359	37	ta	ta	X
bracis-28359	359	38	account	account	NOUN
bracis-28359	359	39	(	(	PUNCT
bracis-28359	359	40	3006206169	3006206169	NUM
bracis-28359	359	41	)	)	PUNCT
bracis-28359	359	42	university	university	NOUN
bracis-28359	359	43	of	of	ADP
bracis-28359	359	44	notre	notre	PROPN
bracis-28359	359	45	dame	dame	PROPN
bracis-28359	359	46	hesburgh	hesburgh	PROPN
bracis-28359	359	47	library	library	NOUN
bracis-28359	359	48	(	(	PUNCT
bracis-28359	359	49	3000184373	3000184373	NUM
bracis-28359	359	50	)	)	PUNCT
bracis-28359	360	1	©	©	ADP
bracis-28359	360	2	2025	2025	NUM
bracis-28359	360	3	springer	springer	NOUN
bracis-28359	360	4	nature	nature	NOUN