id	sid	tid	token	lemma	pos
bracis-33597	1	1	on	on	ADP
bracis-33597	1	2	the	the	DET
bracis-33597	1	3	 	 	SPACE
bracis-33597	1	4	equivalence	equivalence	NOUN
bracis-33597	1	5	between	between	ADP
bracis-33597	1	6	logic	logic	NOUN
bracis-33597	1	7	programs	program	NOUN
bracis-33597	1	8	and	and	CCONJ
bracis-33597	1	9	 	 	SPACE
bracis-33597	1	10	bipolar	bipolar	ADJ
bracis-33597	1	11	argumentation	argumentation	NOUN
bracis-33597	1	12	frameworks	framework	NOUN
bracis-33597	1	13	|	|	ADV
bracis-33597	1	14	springer	springer	NOUN
bracis-33597	1	15	nature	nature	PROPN
bracis-33597	1	16	link	link	PROPN
bracis-33597	1	17	(	(	PUNCT
bracis-33597	1	18	formerly	formerly	ADV
bracis-33597	1	19	springerlink	springerlink	NOUN
bracis-33597	1	20	)	)	PUNCT
bracis-33597	1	21	skip	skip	VERB
bracis-33597	1	22	to	to	ADP
bracis-33597	1	23	main	main	ADJ
bracis-33597	1	24	content	content	NOUN
bracis-33597	1	25	advertisement	advertisement	NOUN
bracis-33597	1	26	log	log	NOUN
bracis-33597	1	27	in	in	ADP
bracis-33597	1	28	menu	menu	NOUN
bracis-33597	1	29	find	find	VERB
bracis-33597	1	30	a	a	DET
bracis-33597	1	31	journal	journal	NOUN
bracis-33597	1	32	publish	publish	VERB
bracis-33597	1	33	with	with	ADP
bracis-33597	1	34	us	we	PRON
bracis-33597	1	35	track	track	VERB
bracis-33597	1	36	your	your	PRON
bracis-33597	1	37	research	research	NOUN
bracis-33597	1	38	search	search	NOUN
bracis-33597	1	39	cart	cart	NOUN
bracis-33597	1	40	home	home	NOUN
bracis-33597	1	41	intelligent	intelligent	ADJ
bracis-33597	1	42	systems	system	NOUN
bracis-33597	1	43	conference	conference	NOUN
bracis-33597	1	44	paper	paper	NOUN
bracis-33597	1	45	on	on	ADP
bracis-33597	1	46	the	the	DET
bracis-33597	1	47	 	 	SPACE
bracis-33597	1	48	equivalence	equivalence	NOUN
bracis-33597	1	49	between	between	ADP
bracis-33597	1	50	logic	logic	NOUN
bracis-33597	1	51	programs	program	NOUN
bracis-33597	1	52	and	and	CCONJ
bracis-33597	1	53	 	 	SPACE
bracis-33597	1	54	bipolar	bipolar	ADJ
bracis-33597	1	55	argumentation	argumentation	NOUN
bracis-33597	1	56	frameworks	framework	NOUN
bracis-33597	1	57	conference	conference	NOUN
bracis-33597	1	58	paper	paper	NOUN
bracis-33597	1	59	first	first	ADV
bracis-33597	1	60	online	online	ADV
bracis-33597	1	61	:	:	PUNCT
bracis-33597	1	62	30	30	NUM
bracis-33597	1	63	january	january	NOUN
bracis-33597	1	64	2025	2025	NUM
bracis-33597	1	65	pp	pp	PROPN
bracis-33597	1	66	238–253	238–253	NUM
bracis-33597	1	67	cite	cite	VERB
bracis-33597	1	68	this	this	DET
bracis-33597	1	69	conference	conference	NOUN
bracis-33597	1	70	paper	paper	NOUN
bracis-33597	1	71	access	access	NOUN
bracis-33597	1	72	provided	provide	VERB
bracis-33597	1	73	by	by	ADP
bracis-33597	1	74	university	university	PROPN
bracis-33597	1	75	of	of	ADP
bracis-33597	1	76	notre	notre	PROPN
bracis-33597	1	77	dame	dame	PROPN
bracis-33597	1	78	hesburgh	hesburgh	PROPN
bracis-33597	1	79	library	library	PROPN
bracis-33597	1	80	download	download	PROPN
bracis-33597	1	81	book	book	NOUN
bracis-33597	1	82	pdf	pdf	PROPN
bracis-33597	1	83	download	download	NOUN
bracis-33597	1	84	book	book	NOUN
bracis-33597	1	85	epub	epub	PROPN
bracis-33597	1	86	intelligent	intelligent	ADJ
bracis-33597	1	87	systems	system	NOUN
bracis-33597	1	88	(	(	PUNCT
bracis-33597	1	89	bracis	bracis	NOUN
bracis-33597	1	90	2024	2024	NUM
bracis-33597	1	91	)	)	PUNCT
bracis-33597	1	92	on	on	ADP
bracis-33597	1	93	the	the	DET
bracis-33597	1	94	 	 	SPACE
bracis-33597	1	95	equivalence	equivalence	NOUN
bracis-33597	1	96	between	between	ADP
bracis-33597	1	97	logic	logic	NOUN
bracis-33597	1	98	programs	program	NOUN
bracis-33597	1	99	and	and	CCONJ
bracis-33597	1	100	 	 	SPACE
bracis-33597	1	101	bipolar	bipolar	ADJ
bracis-33597	1	102	argumentation	argumentation	NOUN
bracis-33597	1	103	frameworks	framework	NOUN
bracis-33597	1	104	download	download	VERB
bracis-33597	1	105	book	book	NOUN
bracis-33597	1	106	pdf	pdf	PROPN
bracis-33597	1	107	download	download	NOUN
bracis-33597	1	108	book	book	PROPN
bracis-33597	1	109	epub	epub	PROPN
bracis-33597	1	110	renan	renan	PROPN
bracis-33597	1	111	cordeiro	cordeiro	PROPN
bracis-33597	1	112	  	  	SPACE
bracis-33597	1	113	orcid	orcid	PROPN
bracis-33597	1	114	:	:	PUNCT
bracis-33597	1	115	orcid.org/0000-0001-9502-34139	orcid.org/0000-0001-9502-34139	PROPN
bracis-33597	1	116	&	&	CCONJ
bracis-33597	1	117	joão	joão	PROPN
bracis-33597	1	118	alcântara	alcântara	PROPN
bracis-33597	1	119	  	  	SPACE
bracis-33597	1	120	orcid	orcid	NOUN
bracis-33597	1	121	:	:	PUNCT
bracis-33597	1	122	orcid.org/0000-0002-4297-29709	orcid.org/0000-0002-4297-29709	ADJ
bracis-33597	1	123	  	  	SPACE
bracis-33597	1	124	part	part	NOUN
bracis-33597	1	125	of	of	ADP
bracis-33597	1	126	the	the	DET
bracis-33597	1	127	book	book	NOUN
bracis-33597	1	128	series	series	NOUN
bracis-33597	1	129	:	:	PUNCT
bracis-33597	2	1	lecture	lecture	NOUN
bracis-33597	2	2	notes	note	NOUN
bracis-33597	2	3	in	in	ADP
bracis-33597	2	4	computer	computer	NOUN
bracis-33597	2	5	science	science	NOUN
bracis-33597	2	6	(	(	PUNCT
bracis-33597	2	7	(	(	PUNCT
bracis-33597	2	8	lnai	lnai	ADJ
bracis-33597	2	9	,	,	PUNCT
bracis-33597	2	10	volume	volume	NOUN
bracis-33597	2	11	15413	15413	NUM
bracis-33597	2	12	)	)	PUNCT
bracis-33597	2	13	)	)	PUNCT
bracis-33597	2	14	included	include	VERB
bracis-33597	2	15	in	in	ADP
bracis-33597	2	16	the	the	DET
bracis-33597	2	17	following	follow	VERB
bracis-33597	2	18	conference	conference	NOUN
bracis-33597	2	19	series	series	NOUN
bracis-33597	2	20	:	:	PUNCT
bracis-33597	2	21	brazilian	brazilian	ADJ
bracis-33597	2	22	conference	conference	NOUN
bracis-33597	2	23	on	on	ADP
bracis-33597	2	24	intelligent	intelligent	ADJ
bracis-33597	2	25	systems	system	NOUN
bracis-33597	2	26	366	366	NUM
bracis-33597	2	27	accesses	access	NOUN
bracis-33597	2	28	abstract	abstract	ADJ
bracis-33597	2	29	in	in	ADP
bracis-33597	2	30	this	this	DET
bracis-33597	2	31	paper	paper	NOUN
bracis-33597	2	32	,	,	PUNCT
bracis-33597	2	33	we	we	PRON
bracis-33597	2	34	extend	extend	VERB
bracis-33597	2	35	the	the	DET
bracis-33597	2	36	connection	connection	NOUN
bracis-33597	2	37	between	between	ADP
bracis-33597	2	38	argumentation	argumentation	NOUN
bracis-33597	2	39	formalisms	formalism	NOUN
bracis-33597	2	40	and	and	CCONJ
bracis-33597	2	41	logic	logic	NOUN
bracis-33597	2	42	programs	program	NOUN
bracis-33597	2	43	,	,	PUNCT
bracis-33597	2	44	by	by	ADP
bracis-33597	2	45	showing	show	VERB
bracis-33597	2	46	the	the	DET
bracis-33597	2	47	equivalence	equivalence	NOUN
bracis-33597	2	48	between	between	ADP
bracis-33597	2	49	bipolar	bipolar	ADJ
bracis-33597	2	50	argumentation	argumentation	NOUN
bracis-33597	2	51	\(\beta	\(\beta	NOUN
bracis-33597	2	52	\)-semantics	\)-semantic	NOUN
bracis-33597	2	53	and	and	CCONJ
bracis-33597	2	54	various	various	ADJ
bracis-33597	2	55	3	3	NUM
bracis-33597	2	56	-	-	PUNCT
bracis-33597	2	57	valued	value	VERB
bracis-33597	2	58	logic	logic	NOUN
bracis-33597	2	59	programming	programming	NOUN
bracis-33597	2	60	semantics	semantic	NOUN
bracis-33597	2	61	.	.	PUNCT
bracis-33597	3	1	in	in	ADP
bracis-33597	3	2	particular	particular	ADJ
bracis-33597	3	3	,	,	PUNCT
bracis-33597	3	4	we	we	PRON
bracis-33597	3	5	show	show	VERB
bracis-33597	3	6	that	that	SCONJ
bracis-33597	3	7	\(\beta	\(\beta	ADJ
bracis-33597	3	8	\)-semi	\)-semi	NOUN
bracis-33597	3	9	-	-	ADJ
bracis-33597	3	10	stable	stable	ADJ
bracis-33597	3	11	semantics	semantic	NOUN
bracis-33597	3	12	corresponds	correspond	VERB
bracis-33597	3	13	to	to	ADP
bracis-33597	3	14	l	l	ADJ
bracis-33597	3	15	-	-	ADJ
bracis-33597	3	16	stable	stable	ADJ
bracis-33597	3	17	semantics	semantic	NOUN
bracis-33597	3	18	,	,	PUNCT
bracis-33597	3	19	which	which	PRON
bracis-33597	3	20	has	have	AUX
bracis-33597	3	21	been	be	AUX
bracis-33597	3	22	previously	previously	ADV
bracis-33597	3	23	shown	show	VERB
bracis-33597	3	24	not	not	PART
bracis-33597	3	25	to	to	PART
bracis-33597	3	26	be	be	AUX
bracis-33597	3	27	expressible	expressible	ADJ
bracis-33597	3	28	by	by	ADP
bracis-33597	3	29	traditional	traditional	ADJ
bracis-33597	3	30	attack	attack	NOUN
bracis-33597	3	31	-	-	PUNCT
bracis-33597	3	32	only	only	ADV
bracis-33597	3	33	argumentation	argumentation	NOUN
bracis-33597	3	34	frameworks	framework	NOUN
bracis-33597	3	35	.	.	PUNCT
bracis-33597	4	1	besides	besides	SCONJ
bracis-33597	4	2	enhancing	enhance	VERB
bracis-33597	4	3	our	our	PRON
bracis-33597	4	4	understanding	understanding	NOUN
bracis-33597	4	5	of	of	ADP
bracis-33597	4	6	how	how	SCONJ
bracis-33597	4	7	logic	logic	ADJ
bracis-33597	4	8	programs	program	NOUN
bracis-33597	4	9	relate	relate	VERB
bracis-33597	4	10	to	to	ADP
bracis-33597	4	11	argumentation	argumentation	NOUN
bracis-33597	4	12	with	with	ADP
bracis-33597	4	13	support	support	NOUN
bracis-33597	4	14	,	,	PUNCT
bracis-33597	4	15	we	we	PRON
bracis-33597	4	16	provide	provide	VERB
bracis-33597	4	17	direct	direct	ADJ
bracis-33597	4	18	translations	translation	NOUN
bracis-33597	4	19	between	between	ADP
bracis-33597	4	20	them	they	PRON
bracis-33597	4	21	and	and	CCONJ
bracis-33597	4	22	their	their	PRON
bracis-33597	4	23	semantics	semantic	NOUN
bracis-33597	4	24	,	,	PUNCT
bracis-33597	4	25	allowing	allow	VERB
bracis-33597	4	26	their	their	PRON
bracis-33597	4	27	interchangeable	interchangeable	ADJ
bracis-33597	4	28	use	use	NOUN
bracis-33597	4	29	.	.	PUNCT
bracis-33597	5	1	access	access	NOUN
bracis-33597	5	2	provided	provide	VERB
bracis-33597	5	3	by	by	ADP
bracis-33597	5	4	university	university	PROPN
bracis-33597	5	5	of	of	ADP
bracis-33597	5	6	notre	notre	PROPN
bracis-33597	5	7	dame	dame	PROPN
bracis-33597	5	8	hesburgh	hesburgh	PROPN
bracis-33597	5	9	library	library	PROPN
bracis-33597	5	10	.	.	PUNCT
bracis-33597	6	1	download	download	PROPN
bracis-33597	6	2	conference	conference	NOUN
bracis-33597	6	3	paper	paper	NOUN
bracis-33597	6	4	pdf	pdf	NOUN
bracis-33597	6	5	similar	similar	ADJ
bracis-33597	6	6	content	content	NOUN
bracis-33597	6	7	being	be	AUX
bracis-33597	6	8	viewed	view	VERB
bracis-33597	6	9	by	by	ADP
bracis-33597	6	10	others	other	NOUN
bracis-33597	6	11	an	an	DET
bracis-33597	6	12	abstract	abstract	ADJ
bracis-33597	6	13	argumentation	argumentation	NOUN
bracis-33597	6	14	and	and	CCONJ
bracis-33597	6	15	logic	logic	NOUN
bracis-33597	6	16	programming	programming	NOUN
bracis-33597	6	17	comparison	comparison	NOUN
bracis-33597	6	18	based	base	VERB
bracis-33597	6	19	on	on	ADP
bracis-33597	6	20	5	5	NUM
bracis-33597	6	21	-	-	PUNCT
bracis-33597	6	22	valued	value	VERB
bracis-33597	6	23	labellings	labelling	NOUN
bracis-33597	6	24	chapter	chapter	NOUN
bracis-33597	6	25	©	©	PROPN
bracis-33597	6	26	2021	2021	NUM
bracis-33597	6	27	capturing	capture	VERB
bracis-33597	6	28	bipolar	bipolar	ADJ
bracis-33597	6	29	argumentation	argumentation	NOUN
bracis-33597	6	30	in	in	ADP
bracis-33597	6	31	non	non	ADJ
bracis-33597	6	32	-	-	ADJ
bracis-33597	6	33	flat	flat	ADJ
bracis-33597	6	34	assumption	assumption	NOUN
bracis-33597	6	35	-	-	PUNCT
bracis-33597	6	36	based	base	VERB
bracis-33597	6	37	argumentation	argumentation	NOUN
bracis-33597	6	38	chapter	chapter	NOUN
bracis-33597	6	39	©	©	PROPN
bracis-33597	6	40	2017	2017	NUM
bracis-33597	6	41	generalizing	generalize	VERB
bracis-33597	6	42	complete	complete	ADJ
bracis-33597	6	43	semantics	semantic	NOUN
bracis-33597	6	44	to	to	ADP
bracis-33597	6	45	 	 	SPACE
bracis-33597	6	46	bipolar	bipolar	ADJ
bracis-33597	6	47	argumentation	argumentation	NOUN
bracis-33597	6	48	frameworks	framework	NOUN
bracis-33597	6	49	chapter	chapter	NOUN
bracis-33597	6	50	©	©	NOUN
bracis-33597	6	51	2021	2021	NUM
bracis-33597	6	52	1	1	NUM
bracis-33597	6	53	introduction	introduction	NOUN
bracis-33597	6	54	formal	formal	ADJ
bracis-33597	6	55	argumentation	argumentation	NOUN
bracis-33597	6	56	and	and	CCONJ
bracis-33597	6	57	logic	logic	NOUN
bracis-33597	6	58	programming	programming	NOUN
bracis-33597	6	59	are	be	AUX
bracis-33597	6	60	closely	closely	ADV
bracis-33597	6	61	related	relate	VERB
bracis-33597	6	62	paradigms	paradigm	NOUN
bracis-33597	6	63	[	[	X
bracis-33597	6	64	7	7	X
bracis-33597	6	65	]	]	PUNCT
bracis-33597	6	66	for	for	ADP
bracis-33597	6	67	representing	represent	VERB
bracis-33597	6	68	possibly	possibly	ADV
bracis-33597	6	69	contradictory	contradictory	ADJ
bracis-33597	6	70	,	,	PUNCT
bracis-33597	6	71	uncertain	uncertain	ADJ
bracis-33597	6	72	or	or	CCONJ
bracis-33597	6	73	incomplete	incomplete	ADJ
bracis-33597	6	74	information	information	NOUN
bracis-33597	6	75	.	.	PUNCT
bracis-33597	7	1	in	in	ADP
bracis-33597	7	2	formal	formal	ADJ
bracis-33597	7	3	argumentation	argumentation	NOUN
bracis-33597	7	4	,	,	PUNCT
bracis-33597	7	5	an	an	DET
bracis-33597	7	6	argument	argument	NOUN
bracis-33597	7	7	represents	represent	VERB
bracis-33597	7	8	a	a	DET
bracis-33597	7	9	claim	claim	NOUN
bracis-33597	7	10	whose	whose	DET
bracis-33597	7	11	acceptability	acceptability	NOUN
bracis-33597	7	12	is	be	AUX
bracis-33597	7	13	determined	determine	VERB
bracis-33597	7	14	by	by	ADP
bracis-33597	7	15	some	some	DET
bracis-33597	7	16	criteria	criterion	NOUN
bracis-33597	7	17	(	(	PUNCT
bracis-33597	7	18	referred	refer	VERB
bracis-33597	7	19	to	to	ADP
bracis-33597	7	20	as	as	ADP
bracis-33597	7	21	semantics	semantic	NOUN
bracis-33597	7	22	)	)	PUNCT
bracis-33597	7	23	that	that	PRON
bracis-33597	7	24	depend	depend	VERB
bracis-33597	7	25	on	on	ADP
bracis-33597	7	26	how	how	SCONJ
bracis-33597	7	27	arguments	argument	NOUN
bracis-33597	7	28	interact	interact	VERB
bracis-33597	7	29	with	with	ADP
bracis-33597	7	30	each	each	DET
bracis-33597	7	31	other	other	ADJ
bracis-33597	7	32	.	.	PUNCT
bracis-33597	8	1	dung	dung	NOUN
bracis-33597	8	2	introduced	introduce	VERB
bracis-33597	8	3	abstract	abstract	ADJ
bracis-33597	8	4	argumentation	argumentation	NOUN
bracis-33597	8	5	frameworks	framework	NOUN
bracis-33597	8	6	(	(	PUNCT
bracis-33597	8	7	\	\	PROPN
bracis-33597	8	8	(	(	PUNCT
bracis-33597	8	9	aaf	aaf	PROPN
bracis-33597	8	10	\)s	\)s	PROPN
bracis-33597	8	11	)	)	PUNCT
bracis-33597	8	12	in	in	ADP
bracis-33597	8	13	his	his	PRON
bracis-33597	8	14	seminal	seminal	ADJ
bracis-33597	8	15	work	work	NOUN
bracis-33597	8	16	[	[	X
bracis-33597	8	17	10	10	NUM
bracis-33597	8	18	]	]	PUNCT
bracis-33597	8	19	,	,	PUNCT
bracis-33597	8	20	defining	define	VERB
bracis-33597	8	21	an	an	DET
bracis-33597	8	22	\	\	PROPN
bracis-33597	8	23	(	(	PUNCT
bracis-33597	8	24	aaf	aaf	PROPN
bracis-33597	8	25	\	\	PROPN
bracis-33597	8	26	)	)	PUNCT
bracis-33597	8	27	by	by	ADP
bracis-33597	8	28	a	a	DET
bracis-33597	8	29	set	set	NOUN
bracis-33597	8	30	of	of	ADP
bracis-33597	8	31	arguments	argument	NOUN
bracis-33597	8	32	and	and	CCONJ
bracis-33597	8	33	an	an	DET
bracis-33597	8	34	attack	attack	NOUN
bracis-33597	8	35	relation	relation	NOUN
bracis-33597	8	36	between	between	ADP
bracis-33597	8	37	them	they	PRON
bracis-33597	8	38	.	.	PUNCT
bracis-33597	9	1	in	in	ADP
bracis-33597	9	2	\	\	PROPN
bracis-33597	9	3	(	(	PUNCT
bracis-33597	9	4	aaf	aaf	PROPN
bracis-33597	9	5	\)s	\)s	PROPN
bracis-33597	9	6	,	,	PUNCT
bracis-33597	9	7	an	an	DET
bracis-33597	9	8	argument	argument	NOUN
bracis-33597	9	9	is	be	AUX
bracis-33597	9	10	treated	treat	VERB
bracis-33597	9	11	as	as	ADP
bracis-33597	9	12	an	an	DET
bracis-33597	9	13	abstract	abstract	ADJ
bracis-33597	9	14	entity	entity	NOUN
bracis-33597	9	15	without	without	ADP
bracis-33597	9	16	any	any	DET
bracis-33597	9	17	internal	internal	ADJ
bracis-33597	9	18	structure	structure	NOUN
bracis-33597	9	19	,	,	PUNCT
bracis-33597	9	20	which	which	PRON
bracis-33597	9	21	means	mean	VERB
bracis-33597	9	22	that	that	SCONJ
bracis-33597	9	23	semantics	semantic	NOUN
bracis-33597	9	24	can	can	AUX
bracis-33597	9	25	only	only	ADV
bracis-33597	9	26	take	take	VERB
bracis-33597	9	27	into	into	ADP
bracis-33597	9	28	account	account	NOUN
bracis-33597	9	29	the	the	DET
bracis-33597	9	30	interactions	interaction	NOUN
bracis-33597	9	31	between	between	ADP
bracis-33597	9	32	arguments	argument	NOUN
bracis-33597	9	33	.	.	PUNCT
bracis-33597	10	1	in	in	ADP
bracis-33597	10	2	normal	normal	ADJ
bracis-33597	10	3	logic	logic	NOUN
bracis-33597	10	4	programs	program	NOUN
bracis-33597	10	5	(	(	PUNCT
bracis-33597	10	6	\(\textit{nlp}\)s	\(\textit{nlp}\)s	ADJ
bracis-33597	10	7	)	)	PUNCT
bracis-33597	10	8	,	,	PUNCT
bracis-33597	10	9	a	a	DET
bracis-33597	10	10	claim	claim	NOUN
bracis-33597	10	11	is	be	AUX
bracis-33597	10	12	represented	represent	VERB
bracis-33597	10	13	by	by	ADP
bracis-33597	10	14	an	an	DET
bracis-33597	10	15	atom	atom	NOUN
bracis-33597	10	16	whose	whose	DET
bracis-33597	10	17	evaluation	evaluation	NOUN
bracis-33597	10	18	consists	consist	VERB
bracis-33597	10	19	in	in	ADP
bracis-33597	10	20	determining	determine	VERB
bracis-33597	10	21	whether	whether	SCONJ
bracis-33597	10	22	it	it	PRON
bracis-33597	10	23	can	can	AUX
bracis-33597	10	24	be	be	AUX
bracis-33597	10	25	inferred	infer	VERB
bracis-33597	10	26	from	from	ADP
bracis-33597	10	27	logical	logical	ADJ
bracis-33597	10	28	rules	rule	NOUN
bracis-33597	10	29	.	.	PUNCT
bracis-33597	11	1	despite	despite	SCONJ
bracis-33597	11	2	expressing	express	VERB
bracis-33597	11	3	information	information	NOUN
bracis-33597	11	4	in	in	ADP
bracis-33597	11	5	distinctive	distinctive	ADJ
bracis-33597	11	6	perspectives	perspective	NOUN
bracis-33597	11	7	,	,	PUNCT
bracis-33597	11	8	formal	formal	ADJ
bracis-33597	11	9	argumentation	argumentation	NOUN
bracis-33597	11	10	and	and	CCONJ
bracis-33597	11	11	logic	logic	NOUN
bracis-33597	11	12	programming	programming	NOUN
bracis-33597	11	13	are	be	AUX
bracis-33597	11	14	closely	closely	ADV
bracis-33597	11	15	connected	connect	VERB
bracis-33597	11	16	.	.	PUNCT
bracis-33597	12	1	their	their	PRON
bracis-33597	12	2	connection	connection	NOUN
bracis-33597	12	3	is	be	AUX
bracis-33597	12	4	a	a	DET
bracis-33597	12	5	very	very	ADV
bracis-33597	12	6	relevant	relevant	ADJ
bracis-33597	12	7	line	line	NOUN
bracis-33597	12	8	of	of	ADP
bracis-33597	12	9	research	research	NOUN
bracis-33597	12	10	,	,	PUNCT
bracis-33597	12	11	as	as	SCONJ
bracis-33597	12	12	it	it	PRON
bracis-33597	12	13	allows	allow	VERB
bracis-33597	12	14	one	one	PRON
bracis-33597	12	15	to	to	PART
bracis-33597	12	16	view	view	VERB
bracis-33597	12	17	logic	logic	NOUN
bracis-33597	12	18	programs	program	NOUN
bracis-33597	12	19	as	as	ADP
bracis-33597	12	20	argumentation	argumentation	NOUN
bracis-33597	12	21	frameworks	framework	NOUN
bracis-33597	12	22	and	and	CCONJ
bracis-33597	12	23	vice	vice	NOUN
bracis-33597	12	24	versa	versa	ADV
bracis-33597	12	25	,	,	PUNCT
bracis-33597	12	26	allowing	allow	VERB
bracis-33597	12	27	the	the	DET
bracis-33597	12	28	most	most	ADV
bracis-33597	12	29	suitable	suitable	ADJ
bracis-33597	12	30	formalism	formalism	NOUN
bracis-33597	12	31	to	to	PART
bracis-33597	12	32	be	be	AUX
bracis-33597	12	33	employed	employ	VERB
bracis-33597	12	34	given	give	VERB
bracis-33597	12	35	a	a	DET
bracis-33597	12	36	specific	specific	ADJ
bracis-33597	12	37	application	application	NOUN
bracis-33597	12	38	.	.	PUNCT
bracis-33597	13	1	besides	besides	SCONJ
bracis-33597	13	2	,	,	PUNCT
bracis-33597	13	3	algorithms	algorithm	NOUN
bracis-33597	13	4	,	,	PUNCT
bracis-33597	13	5	techniques	technique	NOUN
bracis-33597	13	6	and	and	CCONJ
bracis-33597	13	7	semantics	semantic	NOUN
bracis-33597	13	8	developed	develop	VERB
bracis-33597	13	9	for	for	ADP
bracis-33597	13	10	a	a	DET
bracis-33597	13	11	formalism	formalism	NOUN
bracis-33597	13	12	can	can	AUX
bracis-33597	13	13	be	be	AUX
bracis-33597	13	14	adapted	adapt	VERB
bracis-33597	13	15	to	to	ADP
bracis-33597	13	16	the	the	DET
bracis-33597	13	17	other	other	ADJ
bracis-33597	13	18	.	.	PUNCT
bracis-33597	14	1	not	not	PART
bracis-33597	14	2	surprisingly	surprisingly	ADV
bracis-33597	14	3	,	,	PUNCT
bracis-33597	14	4	equivalences	equivalence	NOUN
bracis-33597	14	5	were	be	AUX
bracis-33597	14	6	extensively	extensively	ADV
bracis-33597	14	7	investigated	investigate	VERB
bracis-33597	14	8	.	.	PUNCT
bracis-33597	15	1	there	there	PRON
bracis-33597	15	2	is	be	VERB
bracis-33597	15	3	correspondence	correspondence	NOUN
bracis-33597	15	4	between	between	ADP
bracis-33597	15	5	complete	complete	ADJ
bracis-33597	15	6	and	and	CCONJ
bracis-33597	15	7	partial	partial	ADJ
bracis-33597	15	8	stable	stable	ADJ
bracis-33597	15	9	semantics	semantic	NOUN
bracis-33597	16	1	[	[	X
bracis-33597	16	2	16	16	NUM
bracis-33597	16	3	]	]	PUNCT
bracis-33597	16	4	,	,	PUNCT
bracis-33597	16	5	grounded	grounded	ADJ
bracis-33597	16	6	and	and	CCONJ
bracis-33597	16	7	well	well	ADV
bracis-33597	16	8	-	-	PUNCT
bracis-33597	16	9	founded	found	VERB
bracis-33597	16	10	semantics	semantic	NOUN
bracis-33597	17	1	[	[	X
bracis-33597	17	2	10	10	NUM
bracis-33597	17	3	]	]	PUNCT
bracis-33597	17	4	,	,	PUNCT
bracis-33597	17	5	preferred	preferred	ADJ
bracis-33597	17	6	and	and	CCONJ
bracis-33597	17	7	regular	regular	ADJ
bracis-33597	17	8	semantics	semantic	NOUN
bracis-33597	18	1	[	[	X
bracis-33597	18	2	7	7	NUM
bracis-33597	18	3	]	]	PUNCT
bracis-33597	18	4	,	,	PUNCT
bracis-33597	18	5	stable	stable	ADJ
bracis-33597	18	6	(	(	PUNCT
bracis-33597	18	7	argumentation	argumentation	NOUN
bracis-33597	18	8	)	)	PUNCT
bracis-33597	18	9	and	and	CCONJ
bracis-33597	18	10	stable	stable	ADJ
bracis-33597	18	11	(	(	PUNCT
bracis-33597	18	12	logic	logic	NOUN
bracis-33597	18	13	programming	programming	NOUN
bracis-33597	18	14	)	)	PUNCT
bracis-33597	18	15	semantics	semantic	NOUN
bracis-33597	19	1	[	[	X
bracis-33597	19	2	10	10	NUM
bracis-33597	19	3	]	]	PUNCT
bracis-33597	19	4	.	.	PUNCT
bracis-33597	20	1	however	however	ADV
bracis-33597	20	2	,	,	PUNCT
bracis-33597	20	3	there	there	PRON
bracis-33597	20	4	exists	exist	VERB
bracis-33597	20	5	a	a	DET
bracis-33597	20	6	logic	logic	NOUN
bracis-33597	20	7	programming	programming	NOUN
bracis-33597	20	8	semantics	semantic	NOUN
bracis-33597	20	9	(	(	PUNCT
bracis-33597	20	10	l	l	NOUN
bracis-33597	20	11	-	-	NOUN
bracis-33597	20	12	stable	stable	ADJ
bracis-33597	20	13	)	)	PUNCT
bracis-33597	20	14	that	that	PRON
bracis-33597	20	15	can	can	AUX
bracis-33597	20	16	not	not	PART
bracis-33597	20	17	be	be	AUX
bracis-33597	20	18	captured	capture	VERB
bracis-33597	20	19	by	by	ADP
bracis-33597	20	20	any	any	DET
bracis-33597	20	21	abstract	abstract	ADJ
bracis-33597	20	22	argumentation	argumentation	NOUN
bracis-33597	20	23	semantics	semantic	NOUN
bracis-33597	20	24	[	[	X
bracis-33597	20	25	7	7	NUM
bracis-33597	20	26	]	]	PUNCT
bracis-33597	20	27	.	.	PUNCT
bracis-33597	21	1	in	in	ADP
bracis-33597	21	2	this	this	DET
bracis-33597	21	3	paper	paper	NOUN
bracis-33597	21	4	,	,	PUNCT
bracis-33597	21	5	we	we	PRON
bracis-33597	21	6	continue	continue	VERB
bracis-33597	21	7	this	this	DET
bracis-33597	21	8	line	line	NOUN
bracis-33597	21	9	of	of	ADP
bracis-33597	21	10	research	research	NOUN
bracis-33597	21	11	by	by	ADP
bracis-33597	21	12	considering	consider	VERB
bracis-33597	21	13	instead	instead	ADV
bracis-33597	21	14	bipolar	bipolar	ADJ
bracis-33597	21	15	argumentation	argumentation	NOUN
bracis-33597	21	16	frameworks	framework	NOUN
bracis-33597	21	17	(	(	PUNCT
bracis-33597	21	18	\(\textit{baf}\)s	\(\textit{baf}\)s	ADJ
bracis-33597	21	19	[	[	X
bracis-33597	21	20	5	5	NUM
bracis-33597	21	21	]	]	NUM
bracis-33597	21	22	)	)	PUNCT
bracis-33597	21	23	,	,	PUNCT
bracis-33597	21	24	in	in	ADP
bracis-33597	21	25	which	which	PRON
bracis-33597	21	26	additionally	additionally	ADV
bracis-33597	21	27	there	there	PRON
bracis-33597	21	28	is	be	VERB
bracis-33597	21	29	a	a	DET
bracis-33597	21	30	support	support	NOUN
bracis-33597	21	31	relation	relation	NOUN
bracis-33597	21	32	between	between	ADP
bracis-33597	21	33	arguments	argument	NOUN
bracis-33597	21	34	:	:	PUNCT
bracis-33597	21	35	a	a	DET
bracis-33597	21	36	positive	positive	ADJ
bracis-33597	21	37	interaction	interaction	NOUN
bracis-33597	21	38	independent	independent	ADJ
bracis-33597	21	39	from	from	ADP
bracis-33597	21	40	the	the	DET
bracis-33597	21	41	attack	attack	NOUN
bracis-33597	21	42	relation	relation	NOUN
bracis-33597	21	43	.	.	PUNCT
bracis-33597	22	1	although	although	SCONJ
bracis-33597	22	2	indirectly	indirectly	ADV
bracis-33597	22	3	and	and	CCONJ
bracis-33597	22	4	not	not	PART
bracis-33597	22	5	for	for	ADP
bracis-33597	22	6	all	all	DET
bracis-33597	22	7	semantics	semantic	NOUN
bracis-33597	22	8	,	,	PUNCT
bracis-33597	22	9	bipolar	bipolar	ADJ
bracis-33597	22	10	argumentation	argumentation	NOUN
bracis-33597	22	11	can	can	AUX
bracis-33597	22	12	be	be	AUX
bracis-33597	22	13	linked	link	VERB
bracis-33597	22	14	to	to	ADP
bracis-33597	22	15	logic	logic	NOUN
bracis-33597	22	16	programming	programming	NOUN
bracis-33597	22	17	by	by	ADP
bracis-33597	22	18	the	the	DET
bracis-33597	22	19	current	current	ADJ
bracis-33597	22	20	literature	literature	NOUN
bracis-33597	22	21	.	.	PUNCT
bracis-33597	23	1	in	in	ADP
bracis-33597	23	2	[	[	X
bracis-33597	23	3	9	9	NUM
bracis-33597	23	4	]	]	PUNCT
bracis-33597	23	5	,	,	PUNCT
bracis-33597	23	6	\(\textit{baf}\)s	\(\textit{baf}\)s	PROPN
bracis-33597	23	7	are	be	AUX
bracis-33597	23	8	represented	represent	VERB
bracis-33597	23	9	by	by	ADP
bracis-33597	23	10	assumption	assumption	NOUN
bracis-33597	23	11	-	-	PUNCT
bracis-33597	23	12	based	base	VERB
bracis-33597	23	13	argumentation	argumentation	NOUN
bracis-33597	23	14	(	(	PUNCT
bracis-33597	23	15	\(\textit{aba}\	\(\textit{aba}\	PROPN
bracis-33597	23	16	)	)	PUNCT
bracis-33597	23	17	)	)	PUNCT
bracis-33597	23	18	for	for	ADP
bracis-33597	23	19	admissible	admissible	ADJ
bracis-33597	23	20	,	,	PUNCT
bracis-33597	23	21	preferred	preferred	ADJ
bracis-33597	23	22	and	and	CCONJ
bracis-33597	23	23	stable	stable	ADJ
bracis-33597	23	24	semantics	semantic	NOUN
bracis-33597	23	25	and	and	CCONJ
bracis-33597	23	26	four	four	NUM
bracis-33597	23	27	interpretations	interpretation	NOUN
bracis-33597	23	28	of	of	ADP
bracis-33597	23	29	support	support	NOUN
bracis-33597	23	30	.	.	PUNCT
bracis-33597	24	1	as	as	SCONJ
bracis-33597	24	2	\(\textit{aba}\	\(\textit{aba}\	PROPN
bracis-33597	24	3	)	)	PUNCT
bracis-33597	24	4	is	be	AUX
bracis-33597	24	5	linked	link	VERB
bracis-33597	24	6	to	to	ADP
bracis-33597	24	7	logic	logic	NOUN
bracis-33597	24	8	programming	programming	NOUN
bracis-33597	24	9	[	[	X
bracis-33597	24	10	8	8	NUM
bracis-33597	24	11	]	]	PUNCT
bracis-33597	24	12	,	,	PUNCT
bracis-33597	24	13	the	the	DET
bracis-33597	24	14	transitive	transitive	ADJ
bracis-33597	24	15	nature	nature	NOUN
bracis-33597	24	16	of	of	ADP
bracis-33597	24	17	these	these	DET
bracis-33597	24	18	correspondences	correspondence	NOUN
bracis-33597	24	19	induces	induce	VERB
bracis-33597	24	20	an	an	DET
bracis-33597	24	21	indirect	indirect	ADJ
bracis-33597	24	22	connection	connection	NOUN
bracis-33597	24	23	between	between	ADP
bracis-33597	24	24	\(\textit{baf}\)s	\(\textit{baf}\)s	PROPN
bracis-33597	24	25	and	and	CCONJ
bracis-33597	24	26	\(\textit{nlp}\)s	\(\textit{nlp}\)s	ADJ
bracis-33597	24	27	.	.	PUNCT
bracis-33597	25	1	however	however	ADV
bracis-33597	25	2	,	,	PUNCT
bracis-33597	25	3	the	the	DET
bracis-33597	25	4	semi	semi	ADJ
bracis-33597	25	5	-	-	ADJ
bracis-33597	25	6	stable	stable	ADJ
bracis-33597	25	7	semantics	semantic	NOUN
bracis-33597	25	8	of	of	ADP
bracis-33597	25	9	\(\textit{aba}\	\(\textit{aba}\	PROPN
bracis-33597	25	10	)	)	PUNCT
bracis-33597	25	11	does	do	AUX
bracis-33597	25	12	not	not	PART
bracis-33597	25	13	correspond	correspond	VERB
bracis-33597	25	14	in	in	ADP
bracis-33597	25	15	general	general	ADJ
bracis-33597	25	16	to	to	ADP
bracis-33597	25	17	the	the	DET
bracis-33597	25	18	l	l	ADJ
bracis-33597	25	19	-	-	ADJ
bracis-33597	25	20	stable	stable	ADJ
bracis-33597	25	21	semantics	semantic	NOUN
bracis-33597	25	22	of	of	ADP
bracis-33597	25	23	\(\textit{nlp}\)s	\(\textit{nlp}\)s	PROPN
bracis-33597	25	24	[	[	X
bracis-33597	25	25	8	8	NUM
bracis-33597	25	26	]	]	PUNCT
bracis-33597	25	27	.	.	PUNCT
bracis-33597	26	1	a	a	DET
bracis-33597	26	2	common	common	ADJ
bracis-33597	26	3	aspect	aspect	NOUN
bracis-33597	26	4	of	of	ADP
bracis-33597	26	5	these	these	DET
bracis-33597	26	6	interpretations	interpretation	NOUN
bracis-33597	26	7	of	of	ADP
bracis-33597	26	8	support	support	NOUN
bracis-33597	26	9	is	be	AUX
bracis-33597	26	10	their	their	PRON
bracis-33597	26	11	asymmetric	asymmetric	ADJ
bracis-33597	26	12	treatment	treatment	NOUN
bracis-33597	26	13	of	of	ADP
bracis-33597	26	14	attacks	attack	NOUN
bracis-33597	26	15	and	and	CCONJ
bracis-33597	26	16	supports	support	NOUN
bracis-33597	26	17	.	.	PUNCT
bracis-33597	27	1	the	the	DET
bracis-33597	27	2	former	former	ADJ
bracis-33597	27	3	are	be	AUX
bracis-33597	27	4	favoured	favour	VERB
bracis-33597	27	5	,	,	PUNCT
bracis-33597	27	6	as	as	SCONJ
bracis-33597	27	7	an	an	DET
bracis-33597	27	8	argument	argument	NOUN
bracis-33597	27	9	is	be	AUX
bracis-33597	27	10	always	always	ADV
bracis-33597	27	11	rejected	reject	VERB
bracis-33597	27	12	when	when	SCONJ
bracis-33597	27	13	it	it	PRON
bracis-33597	27	14	is	be	AUX
bracis-33597	27	15	both	both	PRON
bracis-33597	27	16	attacked	attack	VERB
bracis-33597	27	17	and	and	CCONJ
bracis-33597	27	18	supported	support	VERB
bracis-33597	27	19	by	by	ADP
bracis-33597	27	20	accepted	accept	VERB
bracis-33597	27	21	arguments	argument	NOUN
bracis-33597	27	22	.	.	PUNCT
bracis-33597	28	1	we	we	PRON
bracis-33597	28	2	instead	instead	ADV
bracis-33597	28	3	resort	resort	VERB
bracis-33597	28	4	to	to	ADP
bracis-33597	28	5	the	the	DET
bracis-33597	28	6	interpretation	interpretation	NOUN
bracis-33597	28	7	of	of	ADP
bracis-33597	28	8	support	support	NOUN
bracis-33597	28	9	from	from	ADP
bracis-33597	28	10	the	the	DET
bracis-33597	28	11	\(\beta	\(\beta	PROPN
bracis-33597	28	12	\)-semantics	\)-semantic	NOUN
bracis-33597	28	13	[	[	X
bracis-33597	28	14	1	1	NUM
bracis-33597	28	15	]	]	PUNCT
bracis-33597	28	16	,	,	PUNCT
bracis-33597	28	17	in	in	ADP
bracis-33597	28	18	which	which	PRON
bracis-33597	28	19	an	an	DET
bracis-33597	28	20	argument	argument	NOUN
bracis-33597	28	21	is	be	AUX
bracis-33597	28	22	always	always	ADV
bracis-33597	28	23	accepted	accept	VERB
bracis-33597	28	24	if	if	SCONJ
bracis-33597	28	25	it	it	PRON
bracis-33597	28	26	is	be	AUX
bracis-33597	28	27	supported	support	VERB
bracis-33597	28	28	by	by	ADP
bracis-33597	28	29	an	an	DET
bracis-33597	28	30	accepted	accept	VERB
bracis-33597	28	31	argument	argument	NOUN
bracis-33597	28	32	.	.	PUNCT
bracis-33597	29	1	several	several	ADJ
bracis-33597	29	2	works	work	NOUN
bracis-33597	29	3	also	also	ADV
bracis-33597	29	4	relate	relate	VERB
bracis-33597	29	5	more	more	ADV
bracis-33597	29	6	expressive	expressive	ADJ
bracis-33597	29	7	argumentation	argumentation	NOUN
bracis-33597	29	8	formalisms	formalism	NOUN
bracis-33597	29	9	to	to	ADP
bracis-33597	29	10	logic	logic	NOUN
bracis-33597	29	11	programming	programming	NOUN
bracis-33597	29	12	.	.	PUNCT
bracis-33597	30	1	for	for	ADP
bracis-33597	30	2	instance	instance	NOUN
bracis-33597	30	3	,	,	PUNCT
bracis-33597	30	4	abstract	abstract	ADJ
bracis-33597	30	5	dialectical	dialectical	ADJ
bracis-33597	30	6	frameworks	framework	NOUN
bracis-33597	30	7	[	[	X
bracis-33597	30	8	2	2	NUM
bracis-33597	30	9	,	,	PUNCT
bracis-33597	30	10	6	6	NUM
bracis-33597	30	11	,	,	PUNCT
bracis-33597	30	12	14	14	NUM
bracis-33597	30	13	]	]	PUNCT
bracis-33597	30	14	,	,	PUNCT
bracis-33597	30	15	\(\textit{aba}\	\(\textit{aba}\	PROPN
bracis-33597	30	16	)	)	PUNCT
bracis-33597	31	1	[	[	X
bracis-33597	31	2	8	8	NUM
bracis-33597	31	3	]	]	PUNCT
bracis-33597	31	4	,	,	PUNCT
bracis-33597	31	5	claim	claim	NOUN
bracis-33597	31	6	-	-	PUNCT
bracis-33597	31	7	augmented	augment	VERB
bracis-33597	31	8	argumentation	argumentation	NOUN
bracis-33597	31	9	[	[	X
bracis-33597	31	10	13	13	NUM
bracis-33597	31	11	,	,	PUNCT
bracis-33597	31	12	15	15	NUM
bracis-33597	31	13	]	]	PUNCT
bracis-33597	31	14	,	,	PUNCT
bracis-33597	31	15	frameworks	framework	NOUN
bracis-33597	31	16	with	with	ADP
bracis-33597	31	17	collective	collective	ADJ
bracis-33597	31	18	attacks	attack	NOUN
bracis-33597	31	19	[	[	X
bracis-33597	31	20	3	3	NUM
bracis-33597	31	21	,	,	PUNCT
bracis-33597	31	22	15	15	NUM
bracis-33597	31	23	]	]	PUNCT
bracis-33597	31	24	and	and	CCONJ
bracis-33597	31	25	many	many	ADJ
bracis-33597	31	26	others	other	NOUN
bracis-33597	31	27	[	[	X
bracis-33597	31	28	4	4	NUM
bracis-33597	31	29	]	]	PUNCT
bracis-33597	31	30	are	be	AUX
bracis-33597	31	31	connected	connect	VERB
bracis-33597	31	32	to	to	ADP
bracis-33597	31	33	logic	logic	NOUN
bracis-33597	31	34	programming	programming	NOUN
bracis-33597	31	35	.	.	PUNCT
bracis-33597	32	1	the	the	DET
bracis-33597	32	2	work	work	NOUN
bracis-33597	32	3	closest	close	ADJ
bracis-33597	32	4	to	to	ADP
bracis-33597	32	5	ours	ours	PRON
bracis-33597	32	6	is	be	AUX
bracis-33597	32	7	[	[	X
bracis-33597	32	8	13	13	NUM
bracis-33597	32	9	]	]	PUNCT
bracis-33597	32	10	,	,	PUNCT
bracis-33597	32	11	where	where	SCONJ
bracis-33597	32	12	the	the	DET
bracis-33597	32	13	authors	author	NOUN
bracis-33597	32	14	relate	relate	VERB
bracis-33597	32	15	bipolar	bipolar	ADJ
bracis-33597	32	16	claim	claim	NOUN
bracis-33597	32	17	-	-	PUNCT
bracis-33597	32	18	augmented	augment	VERB
bracis-33597	32	19	argumentation	argumentation	NOUN
bracis-33597	32	20	frameworks	framework	NOUN
bracis-33597	32	21	(	(	PUNCT
bracis-33597	32	22	\(\textit{bcaf}\)s	\(\textit{bcaf}\)s	NOUN
bracis-33597	32	23	)	)	PUNCT
bracis-33597	32	24	to	to	PART
bracis-33597	32	25	\(\textit{nlp}\)s	\(\textit{nlp}\)s	VERB
bracis-33597	32	26	.	.	PUNCT
bracis-33597	33	1	they	they	PRON
bracis-33597	33	2	could	could	AUX
bracis-33597	33	3	establish	establish	VERB
bracis-33597	33	4	a	a	DET
bracis-33597	33	5	one	one	NUM
bracis-33597	33	6	-	-	PUNCT
bracis-33597	33	7	to	to	ADP
bracis-33597	33	8	-	-	PUNCT
bracis-33597	33	9	one	one	NUM
bracis-33597	33	10	correspondence	correspondence	NOUN
bracis-33597	33	11	between	between	ADP
bracis-33597	33	12	\(\textit{bcaf}\)s	\(\textit{bcaf}\)s	PROPN
bracis-33597	33	13	and	and	CCONJ
bracis-33597	33	14	\(\textit{nlp}\)s	\(\textit{nlp}\)s	ADJ
bracis-33597	33	15	in	in	ADP
bracis-33597	33	16	both	both	DET
bracis-33597	33	17	directions	direction	NOUN
bracis-33597	33	18	,	,	PUNCT
bracis-33597	33	19	whilst	whilst	SCONJ
bracis-33597	33	20	preserving	preserve	VERB
bracis-33597	33	21	the	the	DET
bracis-33597	33	22	main	main	ADJ
bracis-33597	33	23	acceptability	acceptability	NOUN
bracis-33597	33	24	semantics	semantic	NOUN
bracis-33597	33	25	,	,	PUNCT
bracis-33597	33	26	including	include	VERB
bracis-33597	33	27	the	the	DET
bracis-33597	33	28	l	l	ADJ
bracis-33597	33	29	-	-	ADJ
bracis-33597	33	30	stable	stable	ADJ
bracis-33597	33	31	semantics	semantic	NOUN
bracis-33597	33	32	.	.	PUNCT
bracis-33597	34	1	the	the	DET
bracis-33597	34	2	main	main	ADJ
bracis-33597	34	3	distinction	distinction	NOUN
bracis-33597	34	4	between	between	ADP
bracis-33597	34	5	\(\textit{bcaf}\)s	\(\textit{bcaf}\)s	PROPN
bracis-33597	34	6	and	and	CCONJ
bracis-33597	34	7	\(\textit{baf}\)s	\(\textit{baf}\)s	ADJ
bracis-33597	34	8	(	(	PUNCT
bracis-33597	34	9	and	and	CCONJ
bracis-33597	34	10	hence	hence	ADV
bracis-33597	34	11	between	between	ADP
bracis-33597	34	12	their	their	PRON
bracis-33597	34	13	work	work	NOUN
bracis-33597	34	14	and	and	CCONJ
bracis-33597	34	15	ours	ours	PRON
bracis-33597	34	16	)	)	PUNCT
bracis-33597	34	17	is	be	AUX
bracis-33597	34	18	that	that	SCONJ
bracis-33597	34	19	\(\textit{bcaf}\)s	\(\textit{bcaf}\)s	NOUN
bracis-33597	34	20	have	have	VERB
bracis-33597	34	21	additional	additional	ADJ
bracis-33597	34	22	structure	structure	NOUN
bracis-33597	34	23	,	,	PUNCT
bracis-33597	34	24	as	as	SCONJ
bracis-33597	34	25	each	each	DET
bracis-33597	34	26	argument	argument	NOUN
bracis-33597	34	27	is	be	AUX
bracis-33597	34	28	associated	associate	VERB
bracis-33597	34	29	to	to	ADP
bracis-33597	34	30	an	an	DET
bracis-33597	34	31	explicit	explicit	ADJ
bracis-33597	34	32	claim	claim	NOUN
bracis-33597	34	33	,	,	PUNCT
bracis-33597	34	34	whereas	whereas	SCONJ
bracis-33597	34	35	arguments	argument	NOUN
bracis-33597	34	36	in	in	ADP
bracis-33597	34	37	a	a	DET
bracis-33597	34	38	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	34	39	)	)	PUNCT
bracis-33597	34	40	are	be	AUX
bracis-33597	34	41	abstract	abstract	ADJ
bracis-33597	34	42	:	:	PUNCT
bracis-33597	34	43	the	the	DET
bracis-33597	34	44	\(\beta	\(\beta	PROPN
bracis-33597	34	45	\)-semantics	\)-semantics	PROPN
bracis-33597	34	46	depend	depend	VERB
bracis-33597	34	47	exclusively	exclusively	ADV
bracis-33597	34	48	on	on	ADP
bracis-33597	34	49	the	the	DET
bracis-33597	34	50	attack	attack	NOUN
bracis-33597	34	51	and	and	CCONJ
bracis-33597	34	52	support	support	NOUN
bracis-33597	34	53	relation	relation	NOUN
bracis-33597	34	54	between	between	ADP
bracis-33597	34	55	arguments	argument	NOUN
bracis-33597	34	56	.	.	PUNCT
bracis-33597	35	1	in	in	ADP
bracis-33597	35	2	contrast	contrast	NOUN
bracis-33597	35	3	,	,	PUNCT
bracis-33597	35	4	the	the	DET
bracis-33597	35	5	semi	semi	ADJ
bracis-33597	35	6	-	-	ADJ
bracis-33597	35	7	stable	stable	ADJ
bracis-33597	35	8	semantics	semantic	NOUN
bracis-33597	35	9	of	of	ADP
bracis-33597	35	10	\(\textit{bcaf}\)s	\(\textit{bcaf}\)s	NUM
bracis-33597	35	11	[	[	X
bracis-33597	35	12	13	13	NUM
bracis-33597	35	13	]	]	PUNCT
bracis-33597	35	14	take	take	VERB
bracis-33597	35	15	into	into	ADP
bracis-33597	35	16	account	account	NOUN
bracis-33597	35	17	the	the	DET
bracis-33597	35	18	conclusion	conclusion	NOUN
bracis-33597	35	19	of	of	ADP
bracis-33597	35	20	arguments	argument	NOUN
bracis-33597	35	21	,	,	PUNCT
bracis-33597	35	22	information	information	NOUN
bracis-33597	35	23	not	not	PART
bracis-33597	35	24	inferred	infer	VERB
bracis-33597	35	25	solely	solely	ADV
bracis-33597	35	26	from	from	ADP
bracis-33597	35	27	the	the	DET
bracis-33597	35	28	attack	attack	NOUN
bracis-33597	35	29	and	and	CCONJ
bracis-33597	35	30	support	support	NOUN
bracis-33597	35	31	relations	relation	NOUN
bracis-33597	35	32	.	.	PUNCT
bracis-33597	36	1	this	this	DET
bracis-33597	36	2	paper	paper	NOUN
bracis-33597	36	3	is	be	AUX
bracis-33597	36	4	divided	divide	VERB
bracis-33597	36	5	as	as	SCONJ
bracis-33597	36	6	follows	follow	VERB
bracis-33597	36	7	:	:	PUNCT
bracis-33597	36	8	in	in	ADP
bracis-33597	36	9	sect	sect	NOUN
bracis-33597	36	10	.	.	PUNCT
bracis-33597	36	11	 	 	SPACE
bracis-33597	37	1	2	2	NUM
bracis-33597	37	2	,	,	PUNCT
bracis-33597	37	3	we	we	PRON
bracis-33597	37	4	briefly	briefly	ADV
bracis-33597	37	5	recall	recall	VERB
bracis-33597	37	6	the	the	DET
bracis-33597	37	7	foundations	foundation	NOUN
bracis-33597	37	8	of	of	ADP
bracis-33597	37	9	bipolar	bipolar	ADJ
bracis-33597	37	10	argumentation	argumentation	NOUN
bracis-33597	37	11	frameworks	framework	NOUN
bracis-33597	37	12	(	(	PUNCT
bracis-33597	37	13	\(\textit{baf}\)s	\(\textit{baf}\)s	ADJ
bracis-33597	37	14	)	)	PUNCT
bracis-33597	37	15	and	and	CCONJ
bracis-33597	37	16	their	their	PRON
bracis-33597	37	17	\(\beta	\(\beta	PRON
bracis-33597	37	18	\)-semantics	\)-semantic	NOUN
bracis-33597	37	19	,	,	PUNCT
bracis-33597	37	20	and	and	CCONJ
bracis-33597	37	21	of	of	ADP
bracis-33597	37	22	normal	normal	ADJ
bracis-33597	37	23	logic	logic	NOUN
bracis-33597	37	24	programs	program	NOUN
bracis-33597	37	25	(	(	PUNCT
bracis-33597	37	26	\(\textit{nlp}\)s	\(\textit{nlp}\)s	ADJ
bracis-33597	37	27	)	)	PUNCT
bracis-33597	37	28	and	and	CCONJ
bracis-33597	37	29	their	their	PRON
bracis-33597	37	30	3	3	NUM
bracis-33597	37	31	-	-	PUNCT
bracis-33597	37	32	valued	value	VERB
bracis-33597	37	33	semantics	semantic	NOUN
bracis-33597	37	34	;	;	PUNCT
bracis-33597	37	35	in	in	ADP
bracis-33597	37	36	the	the	DET
bracis-33597	37	37	sequence	sequence	NOUN
bracis-33597	37	38	,	,	PUNCT
bracis-33597	37	39	we	we	PRON
bracis-33597	37	40	provide	provide	VERB
bracis-33597	37	41	a	a	DET
bracis-33597	37	42	translation	translation	NOUN
bracis-33597	37	43	from	from	ADP
bracis-33597	37	44	\(\textit{nlp}\)s	\(\textit{nlp}\)s	PROPN
bracis-33597	37	45	to	to	ADP
bracis-33597	37	46	\(\textit{baf}\)s	\(\textit{baf}\)s	NOUN
bracis-33597	37	47	and	and	CCONJ
bracis-33597	37	48	between	between	ADP
bracis-33597	37	49	their	their	PRON
bracis-33597	37	50	semantics	semantic	NOUN
bracis-33597	37	51	;	;	PUNCT
bracis-33597	37	52	the	the	DET
bracis-33597	37	53	inverse	inverse	NOUN
bracis-33597	37	54	direction	direction	NOUN
bracis-33597	37	55	from	from	ADP
bracis-33597	37	56	\(\textit{baf}\)s	\(\textit{baf}\)s	PROPN
bracis-33597	37	57	to	to	ADP
bracis-33597	37	58	\(\textit{nlp}\)s	\(\textit{nlp}\)s	PROPN
bracis-33597	37	59	is	be	AUX
bracis-33597	37	60	discussed	discuss	VERB
bracis-33597	37	61	in	in	ADP
bracis-33597	37	62	sect	sect	NOUN
bracis-33597	37	63	.	.	PUNCT
bracis-33597	37	64	 	 	SPACE
bracis-33597	38	1	4	4	NUM
bracis-33597	38	2	;	;	PUNCT
bracis-33597	38	3	we	we	PRON
bracis-33597	38	4	collect	collect	VERB
bracis-33597	38	5	our	our	PRON
bracis-33597	38	6	conclusions	conclusion	NOUN
bracis-33597	38	7	in	in	ADP
bracis-33597	38	8	sect	sect	NOUN
bracis-33597	38	9	.	.	PUNCT
bracis-33597	38	10	 	 	SPACE
bracis-33597	39	1	5	5	NUM
bracis-33597	39	2	.	.	SYM
bracis-33597	39	3	2	2	NUM
bracis-33597	39	4	preliminaries	preliminary	NOUN
bracis-33597	39	5	2.1	2.1	NUM
bracis-33597	39	6	bipolar	bipolar	ADJ
bracis-33597	39	7	argumentation	argumentation	NOUN
bracis-33597	39	8	frameworks	framework	NOUN
bracis-33597	39	9	\((\textit{baf}s)\	\((\textit{baf}s)\	NOUN
bracis-33597	39	10	)	)	PUNCT
bracis-33597	39	11	in	in	ADP
bracis-33597	39	12	[	[	X
bracis-33597	39	13	5	5	NUM
bracis-33597	39	14	]	]	PUNCT
bracis-33597	39	15	,	,	PUNCT
bracis-33597	39	16	dung	dung	NOUN
bracis-33597	39	17	’s	’s	PART
bracis-33597	39	18	abstract	abstract	ADJ
bracis-33597	39	19	argumentation	argumentation	NOUN
bracis-33597	39	20	frameworks	framework	NOUN
bracis-33597	39	21	(	(	PUNCT
bracis-33597	39	22	\	\	PROPN
bracis-33597	39	23	(	(	PUNCT
bracis-33597	39	24	aaf	aaf	PROPN
bracis-33597	39	25	\)s	\)s	PROPN
bracis-33597	39	26	)	)	PUNCT
bracis-33597	39	27	were	be	AUX
bracis-33597	39	28	extended	extend	VERB
bracis-33597	39	29	to	to	PART
bracis-33597	39	30	incorporate	incorporate	VERB
bracis-33597	39	31	an	an	DET
bracis-33597	39	32	explicit	explicit	ADJ
bracis-33597	39	33	notion	notion	NOUN
bracis-33597	39	34	of	of	ADP
bracis-33597	39	35	support	support	NOUN
bracis-33597	39	36	between	between	ADP
bracis-33597	39	37	arguments	argument	NOUN
bracis-33597	39	38	,	,	PUNCT
bracis-33597	39	39	independent	independent	ADJ
bracis-33597	39	40	from	from	ADP
bracis-33597	39	41	the	the	DET
bracis-33597	39	42	attack	attack	NOUN
bracis-33597	39	43	relation	relation	NOUN
bracis-33597	39	44	.	.	PUNCT
bracis-33597	40	1	the	the	DET
bracis-33597	40	2	resulting	result	VERB
bracis-33597	40	3	framework	framework	NOUN
bracis-33597	40	4	,	,	PUNCT
bracis-33597	40	5	called	call	VERB
bracis-33597	40	6	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	40	7	)	)	PUNCT
bracis-33597	40	8	,	,	PUNCT
bracis-33597	40	9	is	be	AUX
bracis-33597	40	10	defined	define	VERB
bracis-33597	40	11	next	next	ADV
bracis-33597	40	12	:	:	PUNCT
bracis-33597	40	13	definition	definition	NOUN
bracis-33597	40	14	1	1	NUM
bracis-33597	40	15	(	(	PUNCT
bracis-33597	40	16	baf	baf	PROPN
bracis-33597	40	17	[	[	X
bracis-33597	40	18	5	5	NUM
bracis-33597	40	19	]	]	NUM
bracis-33597	40	20	)	)	PUNCT
bracis-33597	40	21	.	.	PUNCT
bracis-33597	41	1	a	a	DET
bracis-33597	41	2	bipolar	bipolar	ADJ
bracis-33597	41	3	argumentation	argumentation	NOUN
bracis-33597	41	4	framework	framework	NOUN
bracis-33597	41	5	(	(	PUNCT
bracis-33597	41	6	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	41	7	)	)	PUNCT
bracis-33597	41	8	)	)	PUNCT
bracis-33597	41	9	is	be	AUX
bracis-33597	41	10	a	a	DET
bracis-33597	41	11	tuple	tuple	NOUN
bracis-33597	41	12	\((\mathcal	\((\mathcal	PROPN
bracis-33597	41	13	{	{	PUNCT
bracis-33597	41	14	a	a	NOUN
bracis-33597	41	15	}	}	PUNCT
bracis-33597	41	16	,	,	PUNCT
bracis-33597	41	17	att	att	PROPN
bracis-33597	41	18	,	,	PUNCT
bracis-33597	41	19	\	\	PROPN
bracis-33597	41	20	)	)	PUNCT
bracis-33597	42	1	\	\	PROPN
bracis-33597	42	2	(	(	PUNCT
bracis-33597	42	3	sup	sup	NOUN
bracis-33597	42	4	)	)	PUNCT
bracis-33597	42	5	\	\	NOUN
bracis-33597	42	6	)	)	PUNCT
bracis-33597	42	7	,	,	PUNCT
bracis-33597	42	8	in	in	ADP
bracis-33597	42	9	which	which	PRON
bracis-33597	42	10	\(\mathcal	\(\mathcal	ADJ
bracis-33597	42	11	{	{	PUNCT
bracis-33597	42	12	a}\	a}\	NUM
bracis-33597	42	13	)	)	PUNCT
bracis-33597	42	14	is	be	AUX
bracis-33597	42	15	a	a	DET
bracis-33597	42	16	set	set	NOUN
bracis-33597	42	17	of	of	ADP
bracis-33597	42	18	arguments	argument	NOUN
bracis-33597	42	19	,	,	PUNCT
bracis-33597	42	20	\	\	PROPN
bracis-33597	42	21	(	(	PUNCT
bracis-33597	42	22	att	att	PROPN
bracis-33597	42	23	\subseteq	\subseteq	PROPN
bracis-33597	42	24	\mathcal	\mathcal	PROPN
bracis-33597	42	25	{	{	PUNCT
bracis-33597	42	26	a}\times	a}\times	PROPN
bracis-33597	42	27	\mathcal	\mathcal	PROPN
bracis-33597	42	28	{	{	PUNCT
bracis-33597	42	29	a}\	a}\	NUM
bracis-33597	42	30	)	)	PUNCT
bracis-33597	42	31	is	be	AUX
bracis-33597	42	32	the	the	DET
bracis-33597	42	33	attack	attack	NOUN
bracis-33597	42	34	relation	relation	NOUN
bracis-33597	42	35	and	and	CCONJ
bracis-33597	42	36	\	\	PROPN
bracis-33597	42	37	(	(	PUNCT
bracis-33597	42	38	sup	sup	NOUN
bracis-33597	42	39	\subseteq	\subseteq	PROPN
bracis-33597	42	40	\mathcal	\mathcal	PROPN
bracis-33597	42	41	{	{	PUNCT
bracis-33597	42	42	a}\times	a}\times	PROPN
bracis-33597	42	43	\mathcal	\mathcal	PROPN
bracis-33597	42	44	{	{	PUNCT
bracis-33597	42	45	a}\	a}\	NUM
bracis-33597	42	46	)	)	PUNCT
bracis-33597	42	47	is	be	AUX
bracis-33597	42	48	the	the	DET
bracis-33597	42	49	support	support	NOUN
bracis-33597	42	50	relation	relation	NOUN
bracis-33597	42	51	.	.	PUNCT
bracis-33597	43	1	for	for	ADP
bracis-33597	43	2	an	an	DET
bracis-33597	43	3	argument	argument	NOUN
bracis-33597	43	4	\(a	\(a	PROPN
bracis-33597	43	5	\in	\in	PROPN
bracis-33597	43	6	\mathcal	\mathcal	PROPN
bracis-33597	43	7	{	{	PUNCT
bracis-33597	43	8	a}\	a}\	NUM
bracis-33597	43	9	)	)	PUNCT
bracis-33597	43	10	,	,	PUNCT
bracis-33597	43	11	we	we	PRON
bracis-33597	43	12	define	define	VERB
bracis-33597	43	13	\	\	NOUN
bracis-33597	43	14	(	(	PUNCT
bracis-33597	43	15	att	att	PROPN
bracis-33597	43	16	(	(	PUNCT
bracis-33597	43	17	a	a	NOUN
bracis-33597	43	18	)	)	PUNCT
bracis-33597	43	19	=	=	SYM
bracis-33597	43	20	\left\	\left\	PROPN
bracis-33597	43	21	{	{	PUNCT
bracis-33597	43	22	b	b	PROPN
bracis-33597	43	23	\in	\in	PROPN
bracis-33597	43	24	\mathcal	\mathcal	PROPN
bracis-33597	43	25	{	{	PUNCT
bracis-33597	43	26	a}\mid	a}\mid	PROPN
bracis-33597	43	27	(	(	PUNCT
bracis-33597	43	28	b	b	NOUN
bracis-33597	43	29	,	,	PUNCT
bracis-33597	43	30	a	a	DET
bracis-33597	43	31	)	)	PUNCT
bracis-33597	43	32	\in	\in	PROPN
bracis-33597	43	33	att	att	PROPN
bracis-33597	43	34	\right\	\right\	ADV
bracis-33597	43	35	}	}	PUNCT
bracis-33597	43	36	\	\	NOUN
bracis-33597	43	37	)	)	PUNCT
bracis-33597	43	38	as	as	ADP
bracis-33597	43	39	the	the	DET
bracis-33597	43	40	set	set	NOUN
bracis-33597	43	41	of	of	ADP
bracis-33597	43	42	attackers	attacker	NOUN
bracis-33597	43	43	of	of	ADP
bracis-33597	43	44	a	a	PRON
bracis-33597	43	45	and	and	CCONJ
bracis-33597	43	46	\	\	PROPN
bracis-33597	43	47	(	(	PUNCT
bracis-33597	43	48	sup	sup	NOUN
bracis-33597	43	49	(	(	PUNCT
bracis-33597	43	50	a	a	NOUN
bracis-33597	43	51	)	)	PUNCT
bracis-33597	43	52	=	=	SYM
bracis-33597	43	53	\left\	\left\	PROPN
bracis-33597	43	54	{	{	PUNCT
bracis-33597	43	55	b	b	PROPN
bracis-33597	43	56	\in	\in	PROPN
bracis-33597	43	57	\mathcal	\mathcal	PROPN
bracis-33597	43	58	{	{	PUNCT
bracis-33597	43	59	a}\mid	a}\mid	PROPN
bracis-33597	43	60	(	(	PUNCT
bracis-33597	43	61	b	b	NOUN
bracis-33597	43	62	,	,	PUNCT
bracis-33597	43	63	a	a	PRON
bracis-33597	43	64	)	)	PUNCT
bracis-33597	43	65	\in	\in	PROPN
bracis-33597	43	66	sup	sup	NOUN
bracis-33597	43	67	\right\	\right\	ADV
bracis-33597	43	68	}	}	PUNCT
bracis-33597	43	69	\	\	NOUN
bracis-33597	43	70	)	)	PUNCT
bracis-33597	43	71	as	as	ADP
bracis-33597	43	72	the	the	DET
bracis-33597	43	73	set	set	NOUN
bracis-33597	43	74	of	of	ADP
bracis-33597	43	75	direct	direct	ADJ
bracis-33597	43	76	supporters	supporter	NOUN
bracis-33597	43	77	of	of	ADP
bracis-33597	43	78	a.	a.	NOUN
bracis-33597	43	79	in	in	ADP
bracis-33597	43	80	\	\	PROPN
bracis-33597	43	81	(	(	PUNCT
bracis-33597	43	82	aaf	aaf	PROPN
bracis-33597	43	83	\)s	\)s	PROPN
bracis-33597	43	84	,	,	PUNCT
bracis-33597	43	85	the	the	DET
bracis-33597	43	86	interaction	interaction	NOUN
bracis-33597	43	87	between	between	ADP
bracis-33597	43	88	arguments	argument	NOUN
bracis-33597	43	89	is	be	AUX
bracis-33597	43	90	specified	specify	VERB
bracis-33597	43	91	only	only	ADV
bracis-33597	43	92	by	by	ADP
bracis-33597	43	93	the	the	DET
bracis-33597	43	94	attack	attack	NOUN
bracis-33597	43	95	relation	relation	NOUN
bracis-33597	43	96	.	.	PUNCT
bracis-33597	44	1	in	in	ADP
bracis-33597	44	2	\(\textit{baf}\)s	\(\textit{baf}\)s	PROPN
bracis-33597	44	3	,	,	PUNCT
bracis-33597	44	4	the	the	DET
bracis-33597	44	5	novelty	novelty	NOUN
bracis-33597	44	6	is	be	AUX
bracis-33597	44	7	that	that	SCONJ
bracis-33597	44	8	arguments	argument	NOUN
bracis-33597	44	9	can	can	AUX
bracis-33597	44	10	also	also	ADV
bracis-33597	44	11	support	support	VERB
bracis-33597	44	12	other	other	ADJ
bracis-33597	44	13	arguments	argument	NOUN
bracis-33597	44	14	.	.	PUNCT
bracis-33597	45	1	this	this	PRON
bracis-33597	45	2	means	mean	VERB
bracis-33597	45	3	that	that	SCONJ
bracis-33597	45	4	\(\textit{baf}\)s	\(\textit{baf}\)s	PROPN
bracis-33597	45	5	\((\mathcal	\((\mathcal	PROPN
bracis-33597	45	6	{	{	PUNCT
bracis-33597	45	7	a	a	NOUN
bracis-33597	45	8	}	}	PUNCT
bracis-33597	45	9	,	,	PUNCT
bracis-33597	45	10	att	att	PROPN
bracis-33597	45	11	,	,	PUNCT
bracis-33597	45	12	sup	sup	NOUN
bracis-33597	45	13	)	)	PUNCT
bracis-33597	45	14	\	\	NOUN
bracis-33597	45	15	)	)	PUNCT
bracis-33597	45	16	with	with	ADP
bracis-33597	45	17	\	\	PROPN
bracis-33597	45	18	(	(	PUNCT
bracis-33597	45	19	sup	sup	NOUN
bracis-33597	45	20	=	=	PUNCT
bracis-33597	45	21	\emptyset	\emptyset	VERB
bracis-33597	45	22	\	\	NOUN
bracis-33597	45	23	)	)	PUNCT
bracis-33597	45	24	amount	amount	NOUN
bracis-33597	45	25	to	to	ADP
bracis-33597	45	26	(	(	PUNCT
bracis-33597	45	27	standard	standard	ADJ
bracis-33597	45	28	dung	dung	NOUN
bracis-33597	45	29	)	)	PUNCT
bracis-33597	45	30	\	\	PROPN
bracis-33597	45	31	(	(	PUNCT
bracis-33597	45	32	aaf	aaf	PROPN
bracis-33597	45	33	\)s	\)s	PROPN
bracis-33597	45	34	.	.	PROPN
bracis-33597	46	1	we	we	PRON
bracis-33597	46	2	are	be	AUX
bracis-33597	46	3	interested	interested	ADJ
bracis-33597	46	4	not	not	PART
bracis-33597	46	5	only	only	ADV
bracis-33597	46	6	in	in	ADP
bracis-33597	46	7	the	the	DET
bracis-33597	46	8	direct	direct	ADJ
bracis-33597	46	9	supporters	supporter	NOUN
bracis-33597	46	10	of	of	ADP
bracis-33597	46	11	an	an	DET
bracis-33597	46	12	argument	argument	NOUN
bracis-33597	46	13	,	,	PUNCT
bracis-33597	46	14	but	but	CCONJ
bracis-33597	46	15	also	also	ADV
bracis-33597	46	16	in	in	ADP
bracis-33597	46	17	the	the	DET
bracis-33597	46	18	indirect	indirect	ADJ
bracis-33597	46	19	ones	one	NOUN
bracis-33597	46	20	.	.	PUNCT
bracis-33597	47	1	they	they	PRON
bracis-33597	47	2	are	be	AUX
bracis-33597	47	3	indistinctly	indistinctly	ADV
bracis-33597	47	4	called	call	VERB
bracis-33597	47	5	the	the	DET
bracis-33597	47	6	supporters	supporter	NOUN
bracis-33597	47	7	of	of	ADP
bracis-33597	47	8	an	an	DET
bracis-33597	47	9	argument	argument	NOUN
bracis-33597	47	10	:	:	PUNCT
bracis-33597	47	11	definition	definition	NOUN
bracis-33597	47	12	2	2	NUM
bracis-33597	47	13	(	(	PUNCT
bracis-33597	47	14	supporters	supporter	NOUN
bracis-33597	47	15	[	[	X
bracis-33597	47	16	1	1	NUM
bracis-33597	47	17	]	]	PUNCT
bracis-33597	47	18	)	)	PUNCT
bracis-33597	47	19	.	.	PUNCT
bracis-33597	48	1	let	let	VERB
bracis-33597	48	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	48	3	{	{	PUNCT
bracis-33597	48	4	b	b	NOUN
bracis-33597	48	5	}	}	PUNCT
bracis-33597	48	6	=	=	SYM
bracis-33597	49	1	(	(	PUNCT
bracis-33597	49	2	\mathcal	\mathcal	INTJ
bracis-33597	49	3	{	{	PUNCT
bracis-33597	49	4	a	a	NOUN
bracis-33597	49	5	}	}	PUNCT
bracis-33597	49	6	,	,	PUNCT
bracis-33597	49	7	att	att	PROPN
bracis-33597	49	8	,	,	PUNCT
bracis-33597	49	9	sup	sup	NOUN
bracis-33597	49	10	)	)	PUNCT
bracis-33597	49	11	\	\	NOUN
bracis-33597	49	12	)	)	PUNCT
bracis-33597	49	13	be	be	AUX
bracis-33597	49	14	a	a	DET
bracis-33597	49	15	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	49	16	)	)	PUNCT
bracis-33597	49	17	and	and	CCONJ
bracis-33597	49	18	\(a	\(a	PROPN
bracis-33597	49	19	\in	\in	PROPN
bracis-33597	49	20	\mathcal	\mathcal	PROPN
bracis-33597	49	21	{	{	PUNCT
bracis-33597	49	22	a}\	a}\	NUM
bracis-33597	49	23	)	)	PUNCT
bracis-33597	49	24	an	an	DET
bracis-33597	49	25	argument	argument	NOUN
bracis-33597	49	26	.	.	PUNCT
bracis-33597	50	1	we	we	PRON
bracis-33597	50	2	define	define	VERB
bracis-33597	50	3	the	the	DET
bracis-33597	50	4	supporters	supporter	NOUN
bracis-33597	50	5	of	of	ADP
bracis-33597	50	6	a	a	DET
bracis-33597	50	7	recursively	recursively	NOUN
bracis-33597	50	8	as	as	SCONJ
bracis-33597	50	9	follows	follow	VERB
bracis-33597	50	10	:	:	PUNCT
bracis-33597	50	11	a	a	PRON
bracis-33597	50	12	is	be	AUX
bracis-33597	50	13	a	a	DET
bracis-33597	50	14	supporter	supporter	NOUN
bracis-33597	50	15	of	of	ADP
bracis-33597	50	16	a	a	DET
bracis-33597	50	17	in	in	ADP
bracis-33597	50	18	\(\mathcal	\(\mathcal	ADJ
bracis-33597	50	19	{	{	PUNCT
bracis-33597	50	20	b}\	b}\	NOUN
bracis-33597	50	21	)	)	PUNCT
bracis-33597	50	22	;	;	PUNCT
bracis-33597	50	23	if	if	SCONJ
bracis-33597	50	24	\(a'\	\(a'\	PROPN
bracis-33597	50	25	)	)	PUNCT
bracis-33597	50	26	is	be	AUX
bracis-33597	50	27	a	a	DET
bracis-33597	50	28	supporter	supporter	NOUN
bracis-33597	50	29	of	of	ADP
bracis-33597	50	30	a	a	DET
bracis-33597	50	31	in	in	ADP
bracis-33597	50	32	\(\mathcal	\(\mathcal	ADJ
bracis-33597	50	33	{	{	PUNCT
bracis-33597	50	34	b}\	b}\	NOUN
bracis-33597	50	35	)	)	PUNCT
bracis-33597	50	36	and	and	CCONJ
bracis-33597	50	37	\((b	\((b	VERB
bracis-33597	50	38	,	,	PUNCT
bracis-33597	50	39	a	a	DET
bracis-33597	50	40	'	'	NOUN
bracis-33597	50	41	)	)	PUNCT
bracis-33597	50	42	\in	\in	PROPN
bracis-33597	50	43	sup	sup	NOUN
bracis-33597	50	44	\	\	NOUN
bracis-33597	50	45	)	)	PUNCT
bracis-33597	50	46	,	,	PUNCT
bracis-33597	50	47	then	then	ADV
bracis-33597	50	48	b	b	X
bracis-33597	50	49	is	be	AUX
bracis-33597	50	50	a	a	DET
bracis-33597	50	51	supporter	supporter	NOUN
bracis-33597	50	52	of	of	ADP
bracis-33597	50	53	a	a	PRON
bracis-33597	50	54	in	in	ADP
bracis-33597	50	55	\(\mathcal	\(\mathcal	ADJ
bracis-33597	50	56	{	{	PUNCT
bracis-33597	50	57	b}\	b}\	NOUN
bracis-33597	50	58	)	)	PUNCT
bracis-33597	50	59	.	.	PUNCT
bracis-33597	51	1	we	we	PRON
bracis-33597	51	2	denote	denote	VERB
bracis-33597	51	3	the	the	DET
bracis-33597	51	4	set	set	NOUN
bracis-33597	51	5	of	of	ADP
bracis-33597	51	6	all	all	DET
bracis-33597	51	7	supporters	supporter	NOUN
bracis-33597	51	8	of	of	ADP
bracis-33597	51	9	a	a	DET
bracis-33597	51	10	in	in	ADP
bracis-33597	51	11	\(\mathcal	\(\mathcal	ADJ
bracis-33597	51	12	{	{	PUNCT
bracis-33597	51	13	b}\	b}\	NOUN
bracis-33597	51	14	)	)	PUNCT
bracis-33597	51	15	by	by	ADP
bracis-33597	51	16	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	51	17	{	{	PUNCT
bracis-33597	51	18	sup}(a)\	sup}(a)\	NOUN
bracis-33597	51	19	)	)	PUNCT
bracis-33597	51	20	.	.	PUNCT
bracis-33597	52	1	an	an	DET
bracis-33597	52	2	acceptance	acceptance	NOUN
bracis-33597	52	3	criteria	criterion	NOUN
bracis-33597	52	4	,	,	PUNCT
bracis-33597	52	5	referred	refer	VERB
bracis-33597	52	6	to	to	ADP
bracis-33597	52	7	as	as	ADP
bracis-33597	52	8	semantics	semantic	NOUN
bracis-33597	52	9	,	,	PUNCT
bracis-33597	52	10	for	for	ADP
bracis-33597	52	11	arguments	argument	NOUN
bracis-33597	52	12	in	in	ADP
bracis-33597	52	13	a	a	DET
bracis-33597	52	14	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	52	15	)	)	PUNCT
bracis-33597	52	16	is	be	AUX
bracis-33597	52	17	how	how	SCONJ
bracis-33597	52	18	we	we	PRON
bracis-33597	52	19	determine	determine	VERB
bracis-33597	52	20	the	the	DET
bracis-33597	52	21	accepted	accept	VERB
bracis-33597	52	22	or	or	CCONJ
bracis-33597	52	23	rejected	reject	VERB
bracis-33597	52	24	arguments	argument	NOUN
bracis-33597	52	25	in	in	ADP
bracis-33597	52	26	a	a	DET
bracis-33597	52	27	framework	framework	NOUN
bracis-33597	52	28	.	.	PUNCT
bracis-33597	53	1	semantics	semantic	NOUN
bracis-33597	53	2	can	can	AUX
bracis-33597	53	3	be	be	AUX
bracis-33597	53	4	equivalently	equivalently	ADV
bracis-33597	53	5	characterised	characterise	VERB
bracis-33597	53	6	in	in	ADP
bracis-33597	53	7	terms	term	NOUN
bracis-33597	53	8	of	of	ADP
bracis-33597	53	9	extensions	extension	NOUN
bracis-33597	53	10	(	(	PUNCT
bracis-33597	53	11	sets	set	NOUN
bracis-33597	53	12	of	of	ADP
bracis-33597	53	13	accepted	accepted	ADJ
bracis-33597	53	14	arguments	argument	NOUN
bracis-33597	53	15	)	)	PUNCT
bracis-33597	53	16	or	or	CCONJ
bracis-33597	53	17	labellings	labelling	NOUN
bracis-33597	53	18	(	(	PUNCT
bracis-33597	53	19	mapping	mapping	NOUN
bracis-33597	53	20	arguments	argument	NOUN
bracis-33597	53	21	to	to	ADP
bracis-33597	53	22	their	their	PRON
bracis-33597	53	23	acceptability	acceptability	NOUN
bracis-33597	53	24	)	)	PUNCT
bracis-33597	54	1	[	[	X
bracis-33597	54	2	1	1	NUM
bracis-33597	54	3	]	]	PUNCT
bracis-33597	54	4	.	.	PUNCT
bracis-33597	55	1	we	we	PRON
bracis-33597	55	2	will	will	AUX
bracis-33597	55	3	focus	focus	VERB
bracis-33597	55	4	on	on	ADP
bracis-33597	55	5	labelling	labelling	NOUN
bracis-33597	55	6	-	-	PUNCT
bracis-33597	55	7	based	base	VERB
bracis-33597	55	8	semantics	semantic	NOUN
bracis-33597	55	9	as	as	SCONJ
bracis-33597	55	10	it	it	PRON
bracis-33597	55	11	allows	allow	VERB
bracis-33597	55	12	a	a	DET
bracis-33597	55	13	more	more	ADV
bracis-33597	55	14	direct	direct	ADJ
bracis-33597	55	15	comparison	comparison	NOUN
bracis-33597	55	16	to	to	ADP
bracis-33597	55	17	logic	logic	NOUN
bracis-33597	55	18	programming	programming	NOUN
bracis-33597	55	19	semantics	semantic	NOUN
bracis-33597	55	20	.	.	PUNCT
bracis-33597	56	1	definition	definition	NOUN
bracis-33597	56	2	3	3	NUM
bracis-33597	56	3	(	(	PUNCT
bracis-33597	56	4	labelling	labelling	NOUN
bracis-33597	56	5	)	)	PUNCT
bracis-33597	56	6	.	.	PUNCT
bracis-33597	57	1	let	let	VERB
bracis-33597	57	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	57	3	{	{	PUNCT
bracis-33597	57	4	b	b	NOUN
bracis-33597	57	5	}	}	PUNCT
bracis-33597	57	6	=	=	SYM
bracis-33597	58	1	(	(	PUNCT
bracis-33597	58	2	\mathcal	\mathcal	INTJ
bracis-33597	58	3	{	{	PUNCT
bracis-33597	58	4	a	a	NOUN
bracis-33597	58	5	}	}	PUNCT
bracis-33597	58	6	,	,	PUNCT
bracis-33597	58	7	att	att	PROPN
bracis-33597	58	8	,	,	PUNCT
bracis-33597	58	9	sup	sup	NOUN
bracis-33597	58	10	)	)	PUNCT
bracis-33597	58	11	\	\	NOUN
bracis-33597	58	12	)	)	PUNCT
bracis-33597	58	13	be	be	AUX
bracis-33597	58	14	a	a	DET
bracis-33597	58	15	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	58	16	)	)	PUNCT
bracis-33597	58	17	.	.	PUNCT
bracis-33597	59	1	a	a	DET
bracis-33597	59	2	labelling	labelling	NOUN
bracis-33597	59	3	(	(	PUNCT
bracis-33597	59	4	of	of	ADP
bracis-33597	59	5	\(\mathcal	\(\mathcal	ADJ
bracis-33597	59	6	{	{	PUNCT
bracis-33597	59	7	b}\	b}\	NOUN
bracis-33597	59	8	)	)	PUNCT
bracis-33597	59	9	)	)	PUNCT
bracis-33597	59	10	is	be	AUX
bracis-33597	59	11	a	a	DET
bracis-33597	59	12	total	total	ADJ
bracis-33597	59	13	function	function	NOUN
bracis-33597	59	14	\(\mathcal	\(\mathcal	ADJ
bracis-33597	59	15	{	{	PUNCT
bracis-33597	59	16	l	l	NOUN
bracis-33597	59	17	}	}	PUNCT
bracis-33597	59	18	:	:	PUNCT
bracis-33597	59	19	\mathcal	\mathcal	ADJ
bracis-33597	59	20	{	{	PUNCT
bracis-33597	59	21	a}\rightarrow	a}\rightarrow	PROPN
bracis-33597	59	22	\left\	\left\	PROPN
bracis-33597	59	23	{	{	PUNCT
bracis-33597	59	24	\texttt{in	\texttt{in	NOUN
bracis-33597	59	25	}	}	PUNCT
bracis-33597	59	26	,	,	PUNCT
bracis-33597	59	27	\texttt{out	\texttt{out	NOUN
bracis-33597	59	28	}	}	PUNCT
bracis-33597	59	29	,	,	PUNCT
bracis-33597	59	30	\texttt{undec}\right\	\texttt{undec}\right\	NOUN
bracis-33597	59	31	}	}	PUNCT
bracis-33597	59	32	\	\	NOUN
bracis-33597	59	33	)	)	PUNCT
bracis-33597	59	34	.	.	PUNCT
bracis-33597	60	1	when	when	SCONJ
bracis-33597	60	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	60	3	{	{	PUNCT
bracis-33597	60	4	l}\	l}\	PROPN
bracis-33597	60	5	)	)	PUNCT
bracis-33597	60	6	is	be	AUX
bracis-33597	60	7	a	a	DET
bracis-33597	60	8	labelling	labelling	NOUN
bracis-33597	60	9	,	,	PUNCT
bracis-33597	60	10	we	we	PRON
bracis-33597	60	11	write	write	VERB
bracis-33597	60	12	\(\texttt{in}(\mathcal	\(\texttt{in}(\mathcal	ADJ
bracis-33597	60	13	{	{	PUNCT
bracis-33597	60	14	l})\	l})\	X
bracis-33597	60	15	)	)	PUNCT
bracis-33597	60	16	to	to	PART
bracis-33597	60	17	denote	denote	VERB
bracis-33597	60	18	the	the	DET
bracis-33597	60	19	 	 	SPACE
bracis-33597	60	20	set	set	NOUN
bracis-33597	60	21	\(\left\	\(\left\	PROPN
bracis-33597	60	22	{	{	PUNCT
bracis-33597	60	23	a	a	DET
bracis-33597	60	24	\mid	\mid	PROPN
bracis-33597	60	25	\mathcal	\mathcal	PROPN
bracis-33597	60	26	{	{	PUNCT
bracis-33597	60	27	l}(a	l}(a	PROPN
bracis-33597	60	28	)	)	PUNCT
bracis-33597	60	29	=	=	PUNCT
bracis-33597	60	30	\texttt{in}\right\	\texttt{in}\right\	ADJ
bracis-33597	60	31	}	}	PUNCT
bracis-33597	60	32	\	\	NOUN
bracis-33597	60	33	)	)	PUNCT
bracis-33597	60	34	,	,	PUNCT
bracis-33597	60	35	\(\texttt{out}(\mathcal	\(\texttt{out}(\mathcal	ADJ
bracis-33597	60	36	{	{	PUNCT
bracis-33597	60	37	l})\	l})\	X
bracis-33597	60	38	)	)	PUNCT
bracis-33597	60	39	for	for	ADP
bracis-33597	60	40	\(\left\	\(\left\	PROPN
bracis-33597	60	41	{	{	PUNCT
bracis-33597	60	42	a	a	DET
bracis-33597	60	43	\mid	\mid	PROPN
bracis-33597	60	44	\mathcal	\mathcal	PROPN
bracis-33597	60	45	{	{	PUNCT
bracis-33597	60	46	l}(a	l}(a	PROPN
bracis-33597	60	47	)	)	PUNCT
bracis-33597	60	48	=	=	SYM
bracis-33597	60	49	\texttt{out}\right\	\texttt{out}\right\	ADJ
bracis-33597	60	50	}	}	PUNCT
bracis-33597	60	51	\	\	NOUN
bracis-33597	60	52	)	)	PUNCT
bracis-33597	60	53	and	and	CCONJ
bracis-33597	60	54	\(\texttt{undec}(\mathcal	\(\texttt{undec}(\mathcal	ADJ
bracis-33597	60	55	{	{	PUNCT
bracis-33597	60	56	l})\	l})\	X
bracis-33597	60	57	)	)	PUNCT
bracis-33597	60	58	for	for	ADP
bracis-33597	60	59	\(\left\	\(\left\	PROPN
bracis-33597	60	60	{	{	PUNCT
bracis-33597	60	61	a	a	DET
bracis-33597	60	62	\mid	\mid	PROPN
bracis-33597	60	63	\mathcal	\mathcal	PROPN
bracis-33597	60	64	{	{	PUNCT
bracis-33597	60	65	l}(a	l}(a	PROPN
bracis-33597	60	66	)	)	PUNCT
bracis-33597	60	67	=	=	SYM
bracis-33597	60	68	\texttt{undec}\right\	\texttt{undec}\right\	NOUN
bracis-33597	60	69	}	}	PUNCT
bracis-33597	60	70	\	\	NOUN
bracis-33597	60	71	)	)	PUNCT
bracis-33597	60	72	.	.	PUNCT
bracis-33597	61	1	as	as	SCONJ
bracis-33597	61	2	a	a	DET
bracis-33597	61	3	labelling	labelling	NOUN
bracis-33597	61	4	defines	define	VERB
bracis-33597	61	5	a	a	DET
bracis-33597	61	6	partition	partition	NOUN
bracis-33597	61	7	among	among	ADP
bracis-33597	61	8	arguments	argument	NOUN
bracis-33597	61	9	,	,	PUNCT
bracis-33597	61	10	when	when	SCONJ
bracis-33597	61	11	convenient	convenient	ADJ
bracis-33597	61	12	we	we	PRON
bracis-33597	61	13	write	write	VERB
bracis-33597	61	14	\(\mathcal	\(\mathcal	ADJ
bracis-33597	61	15	{	{	PUNCT
bracis-33597	61	16	l}\	l}\	PROPN
bracis-33597	61	17	)	)	PUNCT
bracis-33597	61	18	as	as	ADP
bracis-33597	61	19	the	the	DET
bracis-33597	61	20	triple	triple	ADJ
bracis-33597	61	21	\((\texttt{in}(\mathcal	\((\texttt{in}(\mathcal	ADJ
bracis-33597	61	22	{	{	PUNCT
bracis-33597	61	23	l	l	NOUN
bracis-33597	61	24	}	}	PUNCT
bracis-33597	61	25	)	)	PUNCT
bracis-33597	61	26	,	,	PUNCT
bracis-33597	61	27	\texttt{out}(\mathcal	\texttt{out}(\mathcal	PROPN
bracis-33597	61	28	{	{	PUNCT
bracis-33597	61	29	l	l	NOUN
bracis-33597	61	30	}	}	PUNCT
bracis-33597	61	31	)	)	PUNCT
bracis-33597	61	32	,	,	PUNCT
bracis-33597	61	33	\texttt{undec}(\mathcal	\texttt{undec}(\mathcal	X
bracis-33597	61	34	{	{	PUNCT
bracis-33597	61	35	l}))\	l}))\	PROPN
bracis-33597	61	36	)	)	PUNCT
bracis-33597	61	37	.	.	PUNCT
bracis-33597	62	1	intuitively	intuitively	ADV
bracis-33597	62	2	,	,	PUNCT
bracis-33597	62	3	the	the	DET
bracis-33597	62	4	label	label	NOUN
bracis-33597	62	5	\(\texttt{in}\	\(\texttt{in}\	PROPN
bracis-33597	62	6	)	)	PUNCT
bracis-33597	62	7	indicates	indicate	VERB
bracis-33597	62	8	acceptance	acceptance	NOUN
bracis-33597	62	9	,	,	PUNCT
bracis-33597	62	10	the	the	DET
bracis-33597	62	11	label	label	NOUN
bracis-33597	62	12	\(\texttt{out}\	\(\texttt{out}\	NOUN
bracis-33597	62	13	)	)	PUNCT
bracis-33597	62	14	indicates	indicate	VERB
bracis-33597	62	15	rejection	rejection	NOUN
bracis-33597	62	16	and	and	CCONJ
bracis-33597	62	17	the	the	DET
bracis-33597	62	18	label	label	NOUN
bracis-33597	62	19	\(\texttt{undec}\	\(\texttt{undec}\	ADV
bracis-33597	62	20	)	)	PUNCT
bracis-33597	62	21	indicates	indicate	VERB
bracis-33597	62	22	that	that	SCONJ
bracis-33597	62	23	the	the	DET
bracis-33597	62	24	argument	argument	NOUN
bracis-33597	62	25	is	be	AUX
bracis-33597	62	26	undecided	undecided	ADJ
bracis-33597	62	27	,	,	PUNCT
bracis-33597	62	28	i.e.	i.e.	X
bracis-33597	62	29	,	,	PUNCT
bracis-33597	62	30	neither	neither	PRON
bracis-33597	62	31	accepted	accept	VERB
bracis-33597	62	32	nor	nor	CCONJ
bracis-33597	62	33	rejected	reject	VERB
bracis-33597	62	34	.	.	PUNCT
bracis-33597	63	1	we	we	PRON
bracis-33597	63	2	can	can	AUX
bracis-33597	63	3	now	now	ADV
bracis-33597	63	4	describe	describe	VERB
bracis-33597	63	5	the	the	DET
bracis-33597	63	6	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	63	7	)	)	PUNCT
bracis-33597	63	8	semantics	semantic	NOUN
bracis-33597	63	9	studied	study	VERB
bracis-33597	63	10	in	in	ADP
bracis-33597	63	11	this	this	DET
bracis-33597	63	12	paper	paper	NOUN
bracis-33597	63	13	:	:	PUNCT
bracis-33597	63	14	definition	definition	NOUN
bracis-33597	63	15	4	4	NUM
bracis-33597	63	16	(	(	PUNCT
bracis-33597	63	17	labelling	labelling	NOUN
bracis-33597	63	18	-	-	PUNCT
bracis-33597	63	19	based	base	VERB
bracis-33597	63	20	semantics	semantic	NOUN
bracis-33597	63	21	for	for	ADP
bracis-33597	63	22	\(\textit{baf}\)s	\(\textit{baf}\)s	ADJ
bracis-33597	63	23	[	[	X
bracis-33597	63	24	1	1	NUM
bracis-33597	63	25	]	]	PUNCT
bracis-33597	63	26	)	)	PUNCT
bracis-33597	63	27	.	.	PUNCT
bracis-33597	64	1	let	let	VERB
bracis-33597	64	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	64	3	{	{	PUNCT
bracis-33597	64	4	b	b	NOUN
bracis-33597	64	5	}	}	PUNCT
bracis-33597	64	6	=	=	SYM
bracis-33597	65	1	(	(	PUNCT
bracis-33597	65	2	\mathcal	\mathcal	INTJ
bracis-33597	65	3	{	{	PUNCT
bracis-33597	65	4	a	a	NOUN
bracis-33597	65	5	}	}	PUNCT
bracis-33597	65	6	,	,	PUNCT
bracis-33597	65	7	att	att	PROPN
bracis-33597	65	8	,	,	PUNCT
bracis-33597	65	9	\	\	PROPN
bracis-33597	65	10	)	)	PUNCT
bracis-33597	66	1	\	\	PROPN
bracis-33597	66	2	(	(	PUNCT
bracis-33597	66	3	sup	sup	NOUN
bracis-33597	66	4	)	)	PUNCT
bracis-33597	66	5	\	\	NOUN
bracis-33597	66	6	)	)	PUNCT
bracis-33597	66	7	be	be	AUX
bracis-33597	66	8	a	a	DET
bracis-33597	66	9	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	66	10	)	)	PUNCT
bracis-33597	66	11	.	.	PUNCT
bracis-33597	67	1	a	a	DET
bracis-33597	67	2	labelling	labelling	NOUN
bracis-33597	67	3	\(\mathcal	\(\mathcal	ADJ
bracis-33597	67	4	{	{	PUNCT
bracis-33597	67	5	l}\	l}\	PROPN
bracis-33597	67	6	)	)	PUNCT
bracis-33597	67	7	is	be	AUX
bracis-33597	67	8	a	a	DET
bracis-33597	67	9	\(\beta	\(\beta	NOUN
bracis-33597	67	10	\)-complete	\)-complete	NOUN
bracis-33597	67	11	labelling	labelling	NOUN
bracis-33597	67	12	of	of	ADP
bracis-33597	67	13	\(\mathcal	\(\mathcal	ADJ
bracis-33597	67	14	{	{	PUNCT
bracis-33597	67	15	b}\	b}\	NOUN
bracis-33597	67	16	)	)	PUNCT
bracis-33597	67	17	if	if	SCONJ
bracis-33597	67	18	for	for	ADP
bracis-33597	67	19	any	any	DET
bracis-33597	67	20	\(a	\(a	ADJ
bracis-33597	67	21	\in	\in	PROPN
bracis-33597	67	22	\mathcal	\mathcal	PROPN
bracis-33597	67	23	{	{	PUNCT
bracis-33597	67	24	a}\	a}\	NUM
bracis-33597	67	25	)	)	PUNCT
bracis-33597	67	26	,	,	PUNCT
bracis-33597	67	27	\(\mathcal	\(\mathcal	ADJ
bracis-33597	67	28	{	{	PUNCT
bracis-33597	67	29	l}(a	l}(a	PROPN
bracis-33597	67	30	)	)	PUNCT
bracis-33597	67	31	=	=	SYM
bracis-33597	67	32	\texttt{in}\	\texttt{in}\	NOUN
bracis-33597	67	33	)	)	PUNCT
bracis-33597	68	1	if	if	SCONJ
bracis-33597	68	2	and	and	CCONJ
bracis-33597	68	3	only	only	ADV
bracis-33597	68	4	if	if	SCONJ
bracis-33597	68	5	there	there	PRON
bracis-33597	68	6	exists	exist	VERB
bracis-33597	68	7	\(a	\(a	NOUN
bracis-33597	68	8	'	'	PART
bracis-33597	68	9	\in	\in	PROPN
bracis-33597	68	10	\mathfrak	\mathfrak	PROPN
bracis-33597	68	11	{	{	PUNCT
bracis-33597	68	12	sup}(a)\	sup}(a)\	NOUN
bracis-33597	68	13	)	)	PUNCT
bracis-33597	68	14	such	such	ADJ
bracis-33597	68	15	that	that	PRON
bracis-33597	68	16	for	for	ADP
bracis-33597	68	17	every	every	DET
bracis-33597	68	18	\(b	\(b	PROPN
bracis-33597	68	19	\in	\in	PROPN
bracis-33597	68	20	att	att	PROPN
bracis-33597	68	21	(	(	PUNCT
bracis-33597	68	22	a')\	a')\	PROPN
bracis-33597	68	23	)	)	PUNCT
bracis-33597	68	24	,	,	PUNCT
bracis-33597	68	25	it	it	PRON
bracis-33597	68	26	holds	hold	VERB
bracis-33597	68	27	\(\mathcal	\(\mathcal	ADJ
bracis-33597	68	28	{	{	PUNCT
bracis-33597	68	29	l}(b	l}(b	NOUN
bracis-33597	68	30	)	)	PUNCT
bracis-33597	68	31	=	=	PUNCT
bracis-33597	68	32	\texttt{out}\	\texttt{out}\	ADV
bracis-33597	68	33	)	)	PUNCT
bracis-33597	68	34	.	.	PUNCT
bracis-33597	69	1	\(\mathcal	\(\mathcal	ADJ
bracis-33597	69	2	{	{	PUNCT
bracis-33597	69	3	l}(a	l}(a	PROPN
bracis-33597	69	4	)	)	PUNCT
bracis-33597	69	5	=	=	PUNCT
bracis-33597	69	6	\texttt{out}\	\texttt{out}\	ADV
bracis-33597	69	7	)	)	PUNCT
bracis-33597	69	8	if	if	SCONJ
bracis-33597	69	9	and	and	CCONJ
bracis-33597	69	10	only	only	ADV
bracis-33597	69	11	if	if	SCONJ
bracis-33597	69	12	for	for	ADP
bracis-33597	69	13	every	every	DET
bracis-33597	69	14	\(a	\(a	NOUN
bracis-33597	69	15	'	'	PART
bracis-33597	69	16	\in	\in	PROPN
bracis-33597	69	17	\mathfrak	\mathfrak	PROPN
bracis-33597	69	18	{	{	PUNCT
bracis-33597	69	19	sup}(a)\	sup}(a)\	NOUN
bracis-33597	69	20	)	)	PUNCT
bracis-33597	69	21	,	,	PUNCT
bracis-33597	69	22	there	there	PRON
bracis-33597	69	23	exists	exist	VERB
bracis-33597	69	24	\(b	\(b	PROPN
bracis-33597	69	25	\in	\in	PROPN
bracis-33597	69	26	att	att	PROPN
bracis-33597	69	27	(	(	PUNCT
bracis-33597	69	28	a')\	a')\	PROPN
bracis-33597	69	29	)	)	PUNCT
bracis-33597	69	30	such	such	ADJ
bracis-33597	69	31	that	that	SCONJ
bracis-33597	69	32	\(\mathcal	\(\mathcal	ADJ
bracis-33597	69	33	{	{	PUNCT
bracis-33597	69	34	l}(b	l}(b	PROPN
bracis-33597	69	35	)	)	PUNCT
bracis-33597	69	36	=	=	SYM
bracis-33597	69	37	\texttt{in}\	\texttt{in}\	NOUN
bracis-33597	69	38	)	)	PUNCT
bracis-33597	69	39	.	.	PUNCT
bracis-33597	70	1	additionally	additionally	ADV
bracis-33597	70	2	,	,	PUNCT
bracis-33597	70	3	we	we	PRON
bracis-33597	70	4	say	say	VERB
bracis-33597	70	5	a	a	DET
bracis-33597	70	6	\(\beta	\(\beta	PROPN
bracis-33597	70	7	\)-complete	\)-complete	NOUN
bracis-33597	70	8	labelling	labelling	NOUN
bracis-33597	70	9	\(\mathcal	\(\mathcal	ADJ
bracis-33597	70	10	{	{	PUNCT
bracis-33597	70	11	l}\	l}\	PROPN
bracis-33597	70	12	)	)	PUNCT
bracis-33597	70	13	of	of	ADP
bracis-33597	70	14	\(\mathcal	\(\mathcal	ADJ
bracis-33597	70	15	{	{	PUNCT
bracis-33597	70	16	b}\	b}\	NOUN
bracis-33597	70	17	)	)	PUNCT
bracis-33597	70	18	is	be	AUX
bracis-33597	70	19	\(\beta	\(\beta	PRON
bracis-33597	70	20	\)-grounded	\)-grounded	NUM
bracis-33597	70	21	(	(	PUNCT
bracis-33597	70	22	resp	resp	NOUN
bracis-33597	70	23	.	.	PUNCT
bracis-33597	71	1	\(\beta	\(\beta	PROPN
bracis-33597	71	2	\)-preferred	\)-preferred	NUM
bracis-33597	71	3	)	)	PUNCT
bracis-33597	71	4	if	if	SCONJ
bracis-33597	71	5	\(\texttt{in}(\mathcal	\(\texttt{in}(\mathcal	ADJ
bracis-33597	71	6	{	{	PUNCT
bracis-33597	71	7	l})\	l})\	X
bracis-33597	71	8	)	)	PUNCT
bracis-33597	71	9	is	be	AUX
bracis-33597	71	10	minimal	minimal	ADJ
bracis-33597	71	11	(	(	PUNCT
bracis-33597	71	12	resp	resp	NOUN
bracis-33597	71	13	.	.	PUNCT
bracis-33597	72	1	maximal	maximal	ADJ
bracis-33597	72	2	)	)	PUNCT
bracis-33597	72	3	w.	w.	PROPN
bracis-33597	72	4	r.	r.	PROPN
bracis-33597	72	5	t.	t.	PROPN
bracis-33597	72	6	\(\subseteq	\(\subseteq	PROPN
bracis-33597	72	7	\	\	PROPN
bracis-33597	72	8	)	)	PUNCT
bracis-33597	72	9	among	among	ADP
bracis-33597	72	10	the	the	DET
bracis-33597	72	11	\(\beta	\(\beta	PROPN
bracis-33597	72	12	\)-complete	\)-complete	NOUN
bracis-33597	72	13	labellings	labelling	NOUN
bracis-33597	72	14	of	of	ADP
bracis-33597	72	15	\(\mathcal	\(\mathcal	ADJ
bracis-33597	72	16	{	{	PUNCT
bracis-33597	72	17	b}\	b}\	NOUN
bracis-33597	72	18	)	)	PUNCT
bracis-33597	72	19	;	;	PUNCT
bracis-33597	72	20	\(\beta	\(\beta	ADP
bracis-33597	72	21	\)-stable	\)-stable	ADJ
bracis-33597	72	22	if	if	SCONJ
bracis-33597	72	23	\(\texttt{undec}(\mathcal	\(\texttt{undec}(\mathcal	ADJ
bracis-33597	72	24	{	{	PUNCT
bracis-33597	72	25	l	l	NOUN
bracis-33597	72	26	}	}	PUNCT
bracis-33597	72	27	)	)	PUNCT
bracis-33597	73	1	=	=	SYM
bracis-33597	73	2	\emptyset	\emptyset	VERB
bracis-33597	73	3	\	\	NOUN
bracis-33597	73	4	)	)	PUNCT
bracis-33597	73	5	;	;	PUNCT
bracis-33597	73	6	\(\beta	\(\beta	DET
bracis-33597	73	7	\)-semi	\)-semi	NOUN
bracis-33597	73	8	-	-	ADJ
bracis-33597	73	9	stable	stable	ADJ
bracis-33597	73	10	if	if	SCONJ
bracis-33597	73	11	\(\texttt{undec}(\mathcal	\(\texttt{undec}(\mathcal	ADJ
bracis-33597	73	12	{	{	PUNCT
bracis-33597	73	13	l})\	l})\	X
bracis-33597	73	14	)	)	PUNCT
bracis-33597	73	15	is	be	AUX
bracis-33597	73	16	minimal	minimal	ADJ
bracis-33597	73	17	(	(	PUNCT
bracis-33597	74	1	w.	w.	PROPN
bracis-33597	74	2	r.	r.	PROPN
bracis-33597	74	3	t.	t.	PROPN
bracis-33597	74	4	\(\subseteq	\(\subseteq	PROPN
bracis-33597	74	5	\	\	PROPN
bracis-33597	74	6	)	)	PUNCT
bracis-33597	74	7	)	)	PUNCT
bracis-33597	74	8	among	among	ADP
bracis-33597	74	9	the	the	DET
bracis-33597	74	10	\(\beta	\(\beta	PROPN
bracis-33597	74	11	\)-complete	\)-complete	NOUN
bracis-33597	74	12	labellings	labelling	NOUN
bracis-33597	74	13	of	of	ADP
bracis-33597	74	14	\(\mathcal	\(\mathcal	ADJ
bracis-33597	74	15	{	{	PUNCT
bracis-33597	74	16	b}\	b}\	NOUN
bracis-33597	74	17	)	)	PUNCT
bracis-33597	74	18	.	.	PUNCT
bracis-33597	74	19	fig	fig	NOUN
bracis-33597	74	20	.	.	PUNCT
bracis-33597	75	1	1	1	X
bracis-33597	75	2	.	.	X
bracis-33597	75	3	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	75	4	)	)	PUNCT
bracis-33597	75	5	full	full	ADJ
bracis-33597	75	6	size	size	NOUN
bracis-33597	75	7	image	image	NOUN
bracis-33597	75	8	labelling	labelling	NOUN
bracis-33597	75	9	-	-	PUNCT
bracis-33597	75	10	based	base	VERB
bracis-33597	75	11	semantics	semantic	NOUN
bracis-33597	75	12	of	of	ADP
bracis-33597	75	13	\(\textit{baf}\)s	\(\textit{baf}\)s	ADJ
bracis-33597	75	14	preserve	preserve	NOUN
bracis-33597	75	15	remarking	remark	VERB
bracis-33597	75	16	properties	property	NOUN
bracis-33597	75	17	of	of	ADP
bracis-33597	75	18	the	the	DET
bracis-33597	75	19	corresponding	corresponding	ADJ
bracis-33597	75	20	labelling	labelling	NOUN
bracis-33597	75	21	-	-	PUNCT
bracis-33597	75	22	based	base	VERB
bracis-33597	75	23	semantics	semantic	NOUN
bracis-33597	75	24	of	of	ADP
bracis-33597	75	25	\	\	PROPN
bracis-33597	75	26	(	(	PUNCT
bracis-33597	75	27	aaf	aaf	PROPN
bracis-33597	75	28	\)s	\)s	PROPN
bracis-33597	76	1	[	[	X
bracis-33597	76	2	1	1	NUM
bracis-33597	76	3	]	]	X
bracis-33597	76	4	:	:	PUNCT
bracis-33597	76	5	for	for	ADP
bracis-33597	76	6	every	every	DET
bracis-33597	76	7	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	76	8	)	)	PUNCT
bracis-33597	76	9	there	there	PRON
bracis-33597	76	10	is	be	VERB
bracis-33597	76	11	always	always	ADV
bracis-33597	76	12	a	a	DET
bracis-33597	76	13	uniquely	uniquely	ADV
bracis-33597	76	14	defined	define	VERB
bracis-33597	76	15	\(\beta	\(\beta	NOUN
bracis-33597	76	16	\)-complete	\)-complete	NOUN
bracis-33597	76	17	labelling	labelling	NOUN
bracis-33597	76	18	;	;	PUNCT
bracis-33597	76	19	every	every	DET
bracis-33597	76	20	\(\beta	\(\beta	X
bracis-33597	76	21	\)-stable	\)-stable	ADJ
bracis-33597	76	22	labelling	labelling	NOUN
bracis-33597	76	23	is	be	AUX
bracis-33597	76	24	a	a	DET
bracis-33597	76	25	\(\beta	\(\beta	ADJ
bracis-33597	76	26	\)-preferred	\)-preferre	VERB
bracis-33597	76	27	labelling	labelling	NOUN
bracis-33597	76	28	;	;	PUNCT
bracis-33597	76	29	and	and	CCONJ
bracis-33597	76	30	if	if	SCONJ
bracis-33597	76	31	there	there	PRON
bracis-33597	76	32	exists	exist	VERB
bracis-33597	76	33	\(\beta	\(\beta	ADJ
bracis-33597	76	34	\)-stable	\)-stable	ADJ
bracis-33597	76	35	labellings	labelling	NOUN
bracis-33597	76	36	,	,	PUNCT
bracis-33597	76	37	they	they	PRON
bracis-33597	76	38	coincide	coincide	VERB
bracis-33597	76	39	with	with	ADP
bracis-33597	76	40	\(\beta	\(\beta	NOUN
bracis-33597	76	41	\)-semi	\)-semi	NOUN
bracis-33597	76	42	-	-	ADJ
bracis-33597	76	43	stable	stable	ADJ
bracis-33597	76	44	and	and	CCONJ
bracis-33597	76	45	\(\beta	\(\beta	NOUN
bracis-33597	76	46	\)-preferred	\)-preferre	VERB
bracis-33597	76	47	labellings	labelling	NOUN
bracis-33597	76	48	.	.	PUNCT
bracis-33597	77	1	example	example	NOUN
bracis-33597	77	2	1	1	NUM
bracis-33597	77	3	consider	consider	VERB
bracis-33597	77	4	the	the	DET
bracis-33597	77	5	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	77	6	)	)	PUNCT
bracis-33597	77	7	depicted	depict	VERB
bracis-33597	77	8	by	by	ADP
bracis-33597	77	9	the	the	DET
bracis-33597	77	10	directed	direct	VERB
bracis-33597	77	11	graph	graph	NOUN
bracis-33597	77	12	in	in	ADP
bracis-33597	77	13	fig	fig	NOUN
bracis-33597	77	14	.	.	PUNCT
bracis-33597	77	15	 	 	SPACE
bracis-33597	78	1	1	1	NUM
bracis-33597	78	2	,	,	PUNCT
bracis-33597	78	3	where	where	SCONJ
bracis-33597	78	4	nodes	node	NOUN
bracis-33597	78	5	represent	represent	VERB
bracis-33597	78	6	arguments	argument	NOUN
bracis-33597	78	7	,	,	PUNCT
bracis-33597	78	8	solid	solid	ADJ
bracis-33597	78	9	arrows	arrow	NOUN
bracis-33597	78	10	represent	represent	VERB
bracis-33597	78	11	attacks	attack	NOUN
bracis-33597	78	12	,	,	PUNCT
bracis-33597	78	13	and	and	CCONJ
bracis-33597	78	14	dashed	dash	VERB
bracis-33597	78	15	arrows	arrow	NOUN
bracis-33597	78	16	represent	represent	VERB
bracis-33597	78	17	the	the	DET
bracis-33597	78	18	support	support	NOUN
bracis-33597	78	19	relation	relation	NOUN
bracis-33597	78	20	.	.	PUNCT
bracis-33597	79	1	we	we	PRON
bracis-33597	79	2	obtain	obtain	VERB
bracis-33597	79	3	labellings	labelling	NOUN
bracis-33597	79	4	as	as	SCONJ
bracis-33597	79	5	follows	follow	VERB
bracis-33597	79	6	:	:	PUNCT
bracis-33597	79	7	\(\beta	\(\beta	PART
bracis-33597	79	8	\)-complete	\)-complete	NUM
bracis-33597	79	9	labellings	labelling	NOUN
bracis-33597	79	10	are	be	AUX
bracis-33597	79	11	\(\mathcal	\(\mathcal	ADJ
bracis-33597	79	12	{	{	PUNCT
bracis-33597	79	13	l}_1	l}_1	PROPN
bracis-33597	79	14	=	=	SYM
bracis-33597	79	15	(	(	PUNCT
bracis-33597	79	16	\emptyset	\emptyset	VERB
bracis-33597	79	17	,	,	PUNCT
bracis-33597	79	18	\emptyset	\emptyset	ADJ
bracis-33597	79	19	,	,	PUNCT
bracis-33597	79	20	\mathcal	\mathcal	PROPN
bracis-33597	79	21	{	{	PUNCT
bracis-33597	79	22	a})\	a})\	PROPN
bracis-33597	79	23	)	)	PUNCT
bracis-33597	79	24	,	,	PUNCT
bracis-33597	79	25	\(\mathcal	\(\mathcal	ADJ
bracis-33597	79	26	{	{	PUNCT
bracis-33597	79	27	l}_2	l}_2	NOUN
bracis-33597	79	28	=	=	SYM
bracis-33597	79	29	(	(	PUNCT
bracis-33597	79	30	\left\	\left\	PROPN
bracis-33597	79	31	{	{	PUNCT
bracis-33597	79	32	a_1	a_1	NOUN
bracis-33597	79	33	,	,	PUNCT
bracis-33597	79	34	a_4\right\	a_4\right\	NOUN
bracis-33597	79	35	}	}	PUNCT
bracis-33597	79	36	,	,	PUNCT
bracis-33597	79	37	\{a_2\	\{a_2\	PROPN
bracis-33597	79	38	}	}	PUNCT
bracis-33597	79	39	,	,	PUNCT
bracis-33597	79	40	\{a_3	\{a_3	NOUN
bracis-33597	79	41	,	,	PUNCT
bracis-33597	79	42	a_5\})\	a_5\})\	PROPN
bracis-33597	79	43	)	)	PUNCT
bracis-33597	79	44	and	and	CCONJ
bracis-33597	79	45	\(\mathcal	\(\mathcal	ADJ
bracis-33597	79	46	{	{	PUNCT
bracis-33597	79	47	l}_3	l}_3	NOUN
bracis-33597	79	48	=	=	SYM
bracis-33597	79	49	(	(	PUNCT
bracis-33597	79	50	\{a_2	\{a_2	PROPN
bracis-33597	79	51	,	,	PUNCT
bracis-33597	79	52	a_3	a_3	PROPN
bracis-33597	79	53	,	,	PUNCT
bracis-33597	79	54	\	\	PROPN
bracis-33597	79	55	)	)	PUNCT
bracis-33597	79	56	\(a_4\	\(a_4\	NOUN
bracis-33597	79	57	}	}	PUNCT
bracis-33597	79	58	,	,	PUNCT
bracis-33597	79	59	\left\	\left\	PROPN
bracis-33597	79	60	{	{	PUNCT
bracis-33597	79	61	a_1\right\	a_1\right\	NOUN
bracis-33597	79	62	}	}	PUNCT
bracis-33597	79	63	,	,	PUNCT
bracis-33597	79	64	\{a_5\})\	\{a_5\})\	NOUN
bracis-33597	79	65	)	)	PUNCT
bracis-33597	79	66	;	;	PUNCT
bracis-33597	79	67	\(\beta	\(\beta	PRON
bracis-33597	79	68	\)-grounded	\)-grounde	VERB
bracis-33597	79	69	labelling	labelling	NOUN
bracis-33597	79	70	is	be	AUX
bracis-33597	79	71	\(\mathcal	\(\mathcal	ADJ
bracis-33597	79	72	{	{	PUNCT
bracis-33597	79	73	l}_1\	l}_1\	NUM
bracis-33597	79	74	)	)	PUNCT
bracis-33597	79	75	;	;	PUNCT
bracis-33597	79	76	\(\beta	\(\beta	PROPN
bracis-33597	79	77	\)-preferred	\)-preferred	NUM
bracis-33597	79	78	labellings	labelling	NOUN
bracis-33597	79	79	are	be	AUX
bracis-33597	79	80	\(\mathcal	\(\mathcal	ADJ
bracis-33597	79	81	{	{	PUNCT
bracis-33597	79	82	l}_2\	l}_2\	NUM
bracis-33597	79	83	)	)	PUNCT
bracis-33597	79	84	and	and	CCONJ
bracis-33597	79	85	\(\mathcal	\(\mathcal	ADJ
bracis-33597	79	86	{	{	PUNCT
bracis-33597	79	87	l}_3\	l}_3\	NUM
bracis-33597	79	88	)	)	PUNCT
bracis-33597	79	89	;	;	PUNCT
bracis-33597	79	90	there	there	PRON
bracis-33597	79	91	are	be	VERB
bracis-33597	79	92	no	no	DET
bracis-33597	79	93	\(\beta	\(\beta	ADJ
bracis-33597	79	94	\)-stable	\)-stable	ADJ
bracis-33597	79	95	labellings	labelling	NOUN
bracis-33597	79	96	;	;	PUNCT
bracis-33597	79	97	and	and	CCONJ
bracis-33597	79	98	\(\beta	\(\beta	ADP
bracis-33597	79	99	\)-semi	\)-semi	NOUN
bracis-33597	79	100	-	-	ADJ
bracis-33597	79	101	stable	stable	ADJ
bracis-33597	79	102	labelling	labelling	NOUN
bracis-33597	79	103	is	be	AUX
bracis-33597	79	104	\(\mathcal	\(\mathcal	ADJ
bracis-33597	79	105	{	{	PUNCT
bracis-33597	79	106	l}_3\	l}_3\	NUM
bracis-33597	79	107	)	)	PUNCT
bracis-33597	79	108	.	.	PUNCT
bracis-33597	80	1	2.2	2.2	NUM
bracis-33597	80	2	logic	logic	NOUN
bracis-33597	80	3	programs	program	NOUN
bracis-33597	80	4	and	and	CCONJ
bracis-33597	80	5	 	 	SPACE
bracis-33597	80	6	semantics	semantic	NOUN
bracis-33597	80	7	now	now	ADV
bracis-33597	80	8	,	,	PUNCT
bracis-33597	80	9	we	we	PRON
bracis-33597	80	10	take	take	VERB
bracis-33597	80	11	a	a	DET
bracis-33597	80	12	look	look	NOUN
bracis-33597	80	13	at	at	ADP
bracis-33597	80	14	propositional	propositional	ADJ
bracis-33597	80	15	normal	normal	ADJ
bracis-33597	80	16	logic	logic	NOUN
bracis-33597	80	17	programs	program	NOUN
bracis-33597	80	18	.	.	PUNCT
bracis-33597	81	1	to	to	PART
bracis-33597	81	2	delve	delve	VERB
bracis-33597	81	3	into	into	ADP
bracis-33597	81	4	their	their	PRON
bracis-33597	81	5	definition	definition	NOUN
bracis-33597	81	6	and	and	CCONJ
bracis-33597	81	7	semantics	semantic	NOUN
bracis-33597	81	8	,	,	PUNCT
bracis-33597	81	9	we	we	PRON
bracis-33597	81	10	will	will	AUX
bracis-33597	81	11	follow	follow	VERB
bracis-33597	81	12	the	the	DET
bracis-33597	81	13	presentation	presentation	NOUN
bracis-33597	81	14	outlined	outline	VERB
bracis-33597	81	15	in	in	ADP
bracis-33597	81	16	[	[	X
bracis-33597	81	17	7	7	NUM
bracis-33597	81	18	]	]	PUNCT
bracis-33597	81	19	,	,	PUNCT
bracis-33597	81	20	which	which	PRON
bracis-33597	81	21	draws	draw	VERB
bracis-33597	81	22	from	from	ADP
bracis-33597	81	23	the	the	DET
bracis-33597	81	24	foundation	foundation	NOUN
bracis-33597	81	25	laid	lay	VERB
bracis-33597	81	26	out	out	ADP
bracis-33597	81	27	in	in	ADP
bracis-33597	81	28	[	[	X
bracis-33597	81	29	12	12	NUM
bracis-33597	81	30	]	]	PUNCT
bracis-33597	81	31	.	.	PUNCT
bracis-33597	82	1	definition	definition	NOUN
bracis-33597	82	2	5	5	NUM
bracis-33597	82	3	a	a	DET
bracis-33597	82	4	rule	rule	NOUN
bracis-33597	82	5	r	r	NOUN
bracis-33597	82	6	is	be	AUX
bracis-33597	82	7	an	an	DET
bracis-33597	82	8	expression	expression	NOUN
bracis-33597	82	9	$	$	SYM
bracis-33597	82	10	$	$	SYM
bracis-33597	82	11	\begin{aligned	\begin{aligne	VERB
bracis-33597	82	12	}	}	PUNCT
bracis-33597	82	13	r	r	NOUN
bracis-33597	82	14	:	:	PUNCT
bracis-33597	82	15	c	c	AUX
bracis-33597	82	16	\leftarrow	\leftarrow	PROPN
bracis-33597	82	17	a_1	a_1	NOUN
bracis-33597	82	18	,	,	PUNCT
bracis-33597	82	19	\ldots	\ldots	PROPN
bracis-33597	82	20	,	,	PUNCT
bracis-33597	82	21	a_m	a_m	ADV
bracis-33597	82	22	,	,	PUNCT
bracis-33597	82	23	\mathtt	\mathtt	PROPN
bracis-33597	82	24	{	{	PUNCT
bracis-33597	82	25	not\	not\	PROPN
bracis-33597	82	26	}	}	PUNCT
bracis-33597	82	27	b_1	b_1	PROPN
bracis-33597	82	28	,	,	PUNCT
bracis-33597	82	29	\ldots	\ldots	PROPN
bracis-33597	82	30	,	,	PUNCT
bracis-33597	82	31	\mathtt	\mathtt	PROPN
bracis-33597	82	32	{	{	PUNCT
bracis-33597	82	33	not\	not\	PROPN
bracis-33597	82	34	}	}	PUNCT
bracis-33597	82	35	b_n	b_n	ADJ
bracis-33597	82	36	\end{aligned}$$	\end{aligned}$$	X
bracis-33597	82	37	(	(	PUNCT
bracis-33597	82	38	1	1	NUM
bracis-33597	82	39	)	)	PUNCT
bracis-33597	82	40	where	where	SCONJ
bracis-33597	82	41	(	(	PUNCT
bracis-33597	82	42	\(m	\(m	PROPN
bracis-33597	82	43	,	,	PUNCT
bracis-33597	82	44	n	n	PRON
bracis-33597	82	45	\ge	\ge	PROPN
bracis-33597	82	46	0\	0\	PROPN
bracis-33597	82	47	)	)	PUNCT
bracis-33597	82	48	)	)	PUNCT
bracis-33597	82	49	;	;	PUNCT
bracis-33597	82	50	c	c	X
bracis-33597	82	51	,	,	PUNCT
bracis-33597	82	52	each	each	DET
bracis-33597	82	53	\(a_i\	\(a_i\	NOUN
bracis-33597	82	54	)	)	PUNCT
bracis-33597	82	55	(	(	PUNCT
bracis-33597	82	56	\(1	\(1	PROPN
bracis-33597	82	57	\le	\le	PROPN
bracis-33597	82	58	i	i	PRON
bracis-33597	82	59	\le	\le	NOUN
bracis-33597	82	60	m\	m\	NOUN
bracis-33597	82	61	)	)	PUNCT
bracis-33597	82	62	)	)	PUNCT
bracis-33597	82	63	and	and	CCONJ
bracis-33597	82	64	each	each	DET
bracis-33597	82	65	\(b_j\	\(b_j\	ADJ
bracis-33597	82	66	)	)	PUNCT
bracis-33597	82	67	(	(	PUNCT
bracis-33597	82	68	\(1	\(1	PROPN
bracis-33597	82	69	\le	\le	PROPN
bracis-33597	82	70	j	j	PROPN
bracis-33597	82	71	\le	\le	PROPN
bracis-33597	82	72	n\	n\	PROPN
bracis-33597	82	73	)	)	PUNCT
bracis-33597	82	74	)	)	PUNCT
bracis-33597	82	75	are	be	AUX
bracis-33597	82	76	atoms	atom	NOUN
bracis-33597	82	77	,	,	PUNCT
bracis-33597	82	78	and	and	CCONJ
bracis-33597	82	79	\(\texttt{not}\	\(\texttt{not}\	NOUN
bracis-33597	82	80	)	)	PUNCT
bracis-33597	82	81	represents	represent	VERB
bracis-33597	82	82	negation	negation	NOUN
bracis-33597	82	83	as	as	ADP
bracis-33597	82	84	failure	failure	NOUN
bracis-33597	82	85	.	.	PUNCT
bracis-33597	83	1	a	a	DET
bracis-33597	83	2	literal	literal	NOUN
bracis-33597	83	3	is	be	AUX
bracis-33597	83	4	either	either	CCONJ
bracis-33597	83	5	an	an	DET
bracis-33597	83	6	atom	atom	NOUN
bracis-33597	83	7	a	a	DET
bracis-33597	83	8	(	(	PUNCT
bracis-33597	83	9	positive	positive	ADJ
bracis-33597	83	10	literal	literal	NOUN
bracis-33597	83	11	)	)	PUNCT
bracis-33597	83	12	or	or	CCONJ
bracis-33597	83	13	a	a	DET
bracis-33597	83	14	negated	negate	VERB
bracis-33597	83	15	atom	atom	NOUN
bracis-33597	83	16	\(\mathtt	\(\mathtt	NOUN
bracis-33597	83	17	{	{	PUNCT
bracis-33597	83	18	not\	not\	PROPN
bracis-33597	83	19	}	}	PUNCT
bracis-33597	83	20	a\	a\	PROPN
bracis-33597	83	21	)	)	PUNCT
bracis-33597	83	22	(	(	PUNCT
bracis-33597	83	23	negative	negative	ADJ
bracis-33597	83	24	literal	literal	NOUN
bracis-33597	83	25	)	)	PUNCT
bracis-33597	83	26	.	.	PUNCT
bracis-33597	84	1	given	give	VERB
bracis-33597	84	2	a	a	DET
bracis-33597	84	3	rule	rule	NOUN
bracis-33597	84	4	r	r	NOUN
bracis-33597	84	5	as	as	ADP
bracis-33597	84	6	above	above	ADV
bracis-33597	84	7	,	,	PUNCT
bracis-33597	84	8	c	c	PROPN
bracis-33597	84	9	is	be	AUX
bracis-33597	84	10	called	call	VERB
bracis-33597	84	11	the	the	DET
bracis-33597	84	12	head	head	NOUN
bracis-33597	84	13	of	of	ADP
bracis-33597	84	14	r	r	NOUN
bracis-33597	84	15	,	,	PUNCT
bracis-33597	84	16	which	which	PRON
bracis-33597	84	17	we	we	PRON
bracis-33597	84	18	denote	denote	VERB
bracis-33597	84	19	as	as	ADP
bracis-33597	84	20	\	\	PROPN
bracis-33597	84	21	(	(	PUNCT
bracis-33597	84	22	head	head	NOUN
bracis-33597	84	23	(	(	PUNCT
bracis-33597	84	24	r)\	r)\	PROPN
bracis-33597	84	25	)	)	PUNCT
bracis-33597	84	26	,	,	PUNCT
bracis-33597	84	27	and	and	CCONJ
bracis-33597	84	28	\	\	PROPN
bracis-33597	84	29	(	(	PUNCT
bracis-33597	84	30	body	body	NOUN
bracis-33597	84	31	(	(	PUNCT
bracis-33597	84	32	r	r	NOUN
bracis-33597	84	33	)	)	PUNCT
bracis-33597	84	34	=	=	SYM
bracis-33597	84	35	\left\	\left\	PROPN
bracis-33597	84	36	{	{	PUNCT
bracis-33597	84	37	a_1	a_1	NOUN
bracis-33597	84	38	,	,	PUNCT
bracis-33597	84	39	\ldots	\ldots	PROPN
bracis-33597	84	40	,	,	PUNCT
bracis-33597	84	41	a_m	a_m	ADV
bracis-33597	84	42	,	,	PUNCT
bracis-33597	84	43	\mathtt	\mathtt	PROPN
bracis-33597	84	44	{	{	PUNCT
bracis-33597	84	45	not\	not\	PROPN
bracis-33597	84	46	}	}	PUNCT
bracis-33597	84	47	b_1	b_1	PROPN
bracis-33597	84	48	,	,	PUNCT
bracis-33597	84	49	\ldots	\ldots	PROPN
bracis-33597	84	50	,	,	PUNCT
bracis-33597	84	51	\mathtt	\mathtt	PROPN
bracis-33597	84	52	{	{	PUNCT
bracis-33597	84	53	not\	not\	PROPN
bracis-33597	84	54	}	}	PUNCT
bracis-33597	84	55	b_n\right\	b_n\right\	VERB
bracis-33597	84	56	}	}	PUNCT
bracis-33597	84	57	\	\	NOUN
bracis-33597	84	58	)	)	PUNCT
bracis-33597	84	59	is	be	AUX
bracis-33597	84	60	called	call	VERB
bracis-33597	84	61	the	the	DET
bracis-33597	84	62	body	body	NOUN
bracis-33597	84	63	of	of	ADP
bracis-33597	84	64	r.	r.	PROPN
bracis-33597	84	65	further	far	ADV
bracis-33597	84	66	,	,	PUNCT
bracis-33597	84	67	\	\	PROPN
bracis-33597	84	68	(	(	PUNCT
bracis-33597	84	69	body	body	NOUN
bracis-33597	84	70	(	(	PUNCT
bracis-33597	84	71	r)\	r)\	PROPN
bracis-33597	84	72	)	)	PUNCT
bracis-33597	84	73	is	be	AUX
bracis-33597	84	74	divided	divide	VERB
bracis-33597	84	75	in	in	ADP
bracis-33597	84	76	two	two	NUM
bracis-33597	84	77	sets	set	NOUN
bracis-33597	84	78	\	\	PROPN
bracis-33597	84	79	(	(	PUNCT
bracis-33597	84	80	body	body	NOUN
bracis-33597	84	81	^+(r	^+(r	PRON
bracis-33597	84	82	)	)	PUNCT
bracis-33597	84	83	=	=	SYM
bracis-33597	84	84	\left\	\left\	PROPN
bracis-33597	84	85	{	{	PUNCT
bracis-33597	84	86	a_1	a_1	NOUN
bracis-33597	84	87	,	,	PUNCT
bracis-33597	84	88	\ldots	\ldots	INTJ
bracis-33597	84	89	,	,	PUNCT
bracis-33597	84	90	a_m\right\	a_m\right\	ADJ
bracis-33597	84	91	}	}	PUNCT
bracis-33597	84	92	\	\	NOUN
bracis-33597	84	93	)	)	PUNCT
bracis-33597	84	94	and	and	CCONJ
bracis-33597	84	95	\	\	PROPN
bracis-33597	84	96	(	(	PUNCT
bracis-33597	84	97	body	body	NOUN
bracis-33597	84	98	^-(r	^-(r	NUM
bracis-33597	84	99	)	)	PUNCT
bracis-33597	84	100	=	=	SYM
bracis-33597	84	101	\left\	\left\	PROPN
bracis-33597	84	102	{	{	PUNCT
bracis-33597	84	103	\mathtt	\mathtt	PROPN
bracis-33597	84	104	{	{	PUNCT
bracis-33597	84	105	not\	not\	PROPN
bracis-33597	84	106	}	}	PUNCT
bracis-33597	84	107	b_1	b_1	PROPN
bracis-33597	84	108	,	,	PUNCT
bracis-33597	84	109	\ldots	\ldots	PROPN
bracis-33597	84	110	,	,	PUNCT
bracis-33597	84	111	\mathtt	\mathtt	PROPN
bracis-33597	84	112	{	{	PUNCT
bracis-33597	84	113	not\	not\	PROPN
bracis-33597	84	114	}	}	PUNCT
bracis-33597	84	115	b_n\right\	b_n\right\	VERB
bracis-33597	84	116	}	}	PUNCT
bracis-33597	84	117	\	\	NOUN
bracis-33597	84	118	)	)	PUNCT
bracis-33597	84	119	.	.	PUNCT
bracis-33597	85	1	a	a	DET
bracis-33597	85	2	fact	fact	NOUN
bracis-33597	85	3	is	be	AUX
bracis-33597	85	4	a	a	DET
bracis-33597	85	5	rule	rule	NOUN
bracis-33597	85	6	where	where	SCONJ
bracis-33597	85	7	\(m	\(m	NOUN
bracis-33597	85	8	=	=	SYM
bracis-33597	85	9	n	n	PROPN
bracis-33597	85	10	=	=	SYM
bracis-33597	85	11	0\	0\	PROPN
bracis-33597	85	12	)	)	PUNCT
bracis-33597	85	13	.	.	PUNCT
bracis-33597	86	1	a	a	DET
bracis-33597	86	2	normal	normal	ADJ
bracis-33597	86	3	logic	logic	NOUN
bracis-33597	86	4	program	program	NOUN
bracis-33597	86	5	(	(	PUNCT
bracis-33597	86	6	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	86	7	)	)	PUNCT
bracis-33597	86	8	)	)	PUNCT
bracis-33597	86	9	or	or	CCONJ
bracis-33597	86	10	simply	simply	ADV
bracis-33597	86	11	a	a	DET
bracis-33597	86	12	logic	logic	NOUN
bracis-33597	86	13	program	program	NOUN
bracis-33597	86	14	p	p	NOUN
bracis-33597	86	15	is	be	AUX
bracis-33597	86	16	a	a	DET
bracis-33597	86	17	finite	finite	ADJ
bracis-33597	86	18	set	set	NOUN
bracis-33597	86	19	of	of	ADP
bracis-33597	86	20	rules	rule	NOUN
bracis-33597	86	21	.	.	PUNCT
bracis-33597	87	1	if	if	SCONJ
bracis-33597	87	2	every	every	DET
bracis-33597	87	3	\(r	\(r	ADJ
bracis-33597	87	4	\in	\in	PROPN
bracis-33597	87	5	p\	p\	NOUN
bracis-33597	87	6	)	)	PUNCT
bracis-33597	87	7	has	have	VERB
bracis-33597	87	8	\	\	PROPN
bracis-33597	87	9	(	(	PUNCT
bracis-33597	87	10	body	body	NOUN
bracis-33597	87	11	^-(r	^-(r	NUM
bracis-33597	87	12	)	)	PUNCT
bracis-33597	87	13	=	=	PUNCT
bracis-33597	87	14	\emptyset	\emptyset	VERB
bracis-33597	87	15	\	\	NOUN
bracis-33597	87	16	)	)	PUNCT
bracis-33597	87	17	,	,	PUNCT
bracis-33597	87	18	p	p	NOUN
bracis-33597	87	19	is	be	AUX
bracis-33597	87	20	a	a	DET
bracis-33597	87	21	positive	positive	ADJ
bracis-33597	87	22	program	program	NOUN
bracis-33597	87	23	.	.	PUNCT
bracis-33597	88	1	the	the	DET
bracis-33597	88	2	herbrand	herbrand	PROPN
bracis-33597	88	3	base	base	NOUN
bracis-33597	88	4	of	of	ADP
bracis-33597	88	5	p	p	NOUN
bracis-33597	88	6	is	be	AUX
bracis-33597	88	7	the	the	DET
bracis-33597	88	8	set	set	NOUN
bracis-33597	88	9	\	\	PROPN
bracis-33597	88	10	(	(	PUNCT
bracis-33597	88	11	hb	hb	X
bracis-33597	88	12	_	_	PUNCT
bracis-33597	88	13	{	{	PUNCT
bracis-33597	88	14	p}\	p}\	NOUN
bracis-33597	88	15	)	)	PUNCT
bracis-33597	88	16	of	of	ADP
bracis-33597	88	17	all	all	DET
bracis-33597	88	18	atoms	atom	NOUN
bracis-33597	88	19	appearing	appear	VERB
bracis-33597	88	20	in	in	ADP
bracis-33597	88	21	p.	p.	NOUN
bracis-33597	88	22	a	a	DET
bracis-33597	88	23	wide	wide	ADJ
bracis-33597	88	24	range	range	NOUN
bracis-33597	88	25	of	of	ADP
bracis-33597	88	26	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	88	27	)	)	PUNCT
bracis-33597	88	28	semantics	semantic	NOUN
bracis-33597	88	29	are	be	AUX
bracis-33597	88	30	based	base	VERB
bracis-33597	88	31	on	on	ADP
bracis-33597	88	32	the	the	DET
bracis-33597	88	33	3	3	NUM
bracis-33597	88	34	-	-	PUNCT
bracis-33597	88	35	valued	value	VERB
bracis-33597	88	36	interpretations	interpretation	NOUN
bracis-33597	88	37	of	of	ADP
bracis-33597	88	38	programs	program	NOUN
bracis-33597	88	39	[	[	X
bracis-33597	88	40	12	12	NUM
bracis-33597	88	41	]	]	X
bracis-33597	88	42	:	:	PUNCT
bracis-33597	88	43	definition	definition	NOUN
bracis-33597	88	44	6	6	NUM
bracis-33597	88	45	(	(	PUNCT
bracis-33597	88	46	3	3	NUM
bracis-33597	88	47	-	-	PUNCT
bracis-33597	88	48	valued	value	VERB
bracis-33597	88	49	herbrand	herbrand	NOUN
bracis-33597	88	50	interpretation	interpretation	NOUN
bracis-33597	88	51	[	[	X
bracis-33597	88	52	12	12	NUM
bracis-33597	88	53	]	]	PUNCT
bracis-33597	88	54	)	)	PUNCT
bracis-33597	88	55	.	.	PUNCT
bracis-33597	89	1	a	a	DET
bracis-33597	89	2	3	3	NUM
bracis-33597	89	3	-	-	PUNCT
bracis-33597	89	4	valued	value	VERB
bracis-33597	89	5	herbrand	herbrand	NOUN
bracis-33597	89	6	interpretation	interpretation	NOUN
bracis-33597	89	7	\(\mathcal	\(\mathcal	ADJ
bracis-33597	89	8	{	{	PUNCT
bracis-33597	89	9	i}\	i}\	NUM
bracis-33597	89	10	)	)	PUNCT
bracis-33597	89	11	(	(	PUNCT
bracis-33597	89	12	or	or	CCONJ
bracis-33597	89	13	simply	simply	ADV
bracis-33597	89	14	interpretation	interpretation	NOUN
bracis-33597	89	15	)	)	PUNCT
bracis-33597	89	16	of	of	ADP
bracis-33597	89	17	p	p	PROPN
bracis-33597	89	18	is	be	AUX
bracis-33597	89	19	a	a	DET
bracis-33597	89	20	total	total	ADJ
bracis-33597	89	21	function	function	NOUN
bracis-33597	89	22	\(\mathcal	\(\mathcal	ADJ
bracis-33597	89	23	{	{	PUNCT
bracis-33597	89	24	i	i	NOUN
bracis-33597	89	25	}	}	PUNCT
bracis-33597	89	26	:	:	PUNCT
bracis-33597	89	27	hb	hb	X
bracis-33597	90	1	_	_	PUNCT
bracis-33597	90	2	p	p	X
bracis-33597	90	3	\rightarrow	\rightarrow	PROPN
bracis-33597	90	4	\left\	\left\	PROPN
bracis-33597	90	5	{	{	PUNCT
bracis-33597	90	6	\textbf{t	\textbf{t	NOUN
bracis-33597	90	7	}	}	PUNCT
bracis-33597	90	8	,	,	PUNCT
bracis-33597	90	9	\textbf{f	\textbf{f	NOUN
bracis-33597	90	10	}	}	PUNCT
bracis-33597	90	11	,	,	PUNCT
bracis-33597	90	12	\textbf{u}\right\	\textbf{u}\right\	ADJ
bracis-33597	90	13	}	}	PUNCT
bracis-33597	90	14	\	\	NOUN
bracis-33597	90	15	)	)	PUNCT
bracis-33597	90	16	.	.	PUNCT
bracis-33597	91	1	given	give	VERB
bracis-33597	91	2	an	an	DET
bracis-33597	91	3	interpretation	interpretation	NOUN
bracis-33597	91	4	\(\mathcal	\(\mathcal	ADJ
bracis-33597	91	5	{	{	PUNCT
bracis-33597	91	6	i}\	i}\	NUM
bracis-33597	91	7	)	)	PUNCT
bracis-33597	91	8	of	of	ADP
bracis-33597	91	9	p	p	X
bracis-33597	91	10	,	,	PUNCT
bracis-33597	91	11	we	we	PRON
bracis-33597	91	12	write	write	VERB
bracis-33597	91	13	\(\textbf{t}(\mathcal	\(\textbf{t}(\mathcal	ADJ
bracis-33597	91	14	{	{	PUNCT
bracis-33597	91	15	i})\	i})\	X
bracis-33597	91	16	)	)	PUNCT
bracis-33597	91	17	to	to	PART
bracis-33597	91	18	denote	denote	VERB
bracis-33597	91	19	the	the	DET
bracis-33597	91	20	 	 	SPACE
bracis-33597	91	21	set	set	NOUN
bracis-33597	91	22	\(\	\(\	ADP
bracis-33597	91	23	{	{	PUNCT
bracis-33597	91	24	a	a	DET
bracis-33597	91	25	\in	\in	PROPN
bracis-33597	91	26	hb	hb	X
bracis-33597	91	27	_	_	PUNCT
bracis-33597	91	28	p	p	NOUN
bracis-33597	91	29	\mid	\mid	ADP
bracis-33597	91	30	\	\	NOUN
bracis-33597	91	31	)	)	PUNCT
bracis-33597	91	32	\(\mathcal	\(\mathcal	X
bracis-33597	91	33	{	{	PUNCT
bracis-33597	91	34	i}(a	i}(a	PROPN
bracis-33597	91	35	)	)	PUNCT
bracis-33597	91	36	=	=	SYM
bracis-33597	91	37	\textbf{t}\}\	\textbf{t}\}\	NOUN
bracis-33597	91	38	)	)	PUNCT
bracis-33597	91	39	,	,	PUNCT
bracis-33597	91	40	\(\textbf{f}(\mathcal	\(\textbf{f}(\mathcal	X
bracis-33597	91	41	{	{	PUNCT
bracis-33597	91	42	i})\	i})\	X
bracis-33597	91	43	)	)	PUNCT
bracis-33597	91	44	for	for	ADP
bracis-33597	91	45	\(\left\	\(\left\	PROPN
bracis-33597	91	46	{	{	PUNCT
bracis-33597	91	47	a	a	DET
bracis-33597	91	48	\in	\in	PROPN
bracis-33597	91	49	hb	hb	X
bracis-33597	91	50	_	_	PUNCT
bracis-33597	91	51	p	p	X
bracis-33597	91	52	\mid	\mid	ADP
bracis-33597	91	53	\mathcal	\mathcal	PROPN
bracis-33597	91	54	{	{	PUNCT
bracis-33597	91	55	i}(a	i}(a	PROPN
bracis-33597	91	56	)	)	PUNCT
bracis-33597	91	57	=	=	SYM
bracis-33597	91	58	\textbf{f}\right\	\textbf{f}\right\	ADJ
bracis-33597	91	59	}	}	PUNCT
bracis-33597	91	60	\	\	NOUN
bracis-33597	91	61	)	)	PUNCT
bracis-33597	91	62	and	and	CCONJ
bracis-33597	91	63	\(\textbf{u}(\mathcal	\(\textbf{u}(\mathcal	ADJ
bracis-33597	91	64	{	{	PUNCT
bracis-33597	91	65	i})\	i})\	X
bracis-33597	91	66	)	)	PUNCT
bracis-33597	91	67	for	for	ADP
bracis-33597	91	68	\(\	\(\	NOUN
bracis-33597	91	69	{	{	PUNCT
bracis-33597	91	70	a	a	DET
bracis-33597	91	71	\in	\in	PROPN
bracis-33597	91	72	hb	hb	X
bracis-33597	91	73	_	_	PUNCT
bracis-33597	91	74	p	p	X
bracis-33597	91	75	\mid	\mid	ADP
bracis-33597	91	76	\mathcal	\mathcal	PROPN
bracis-33597	91	77	{	{	PUNCT
bracis-33597	91	78	i}(a	i}(a	PROPN
bracis-33597	91	79	)	)	PUNCT
bracis-33597	91	80	=	=	SYM
bracis-33597	91	81	\textbf{u}\}\	\textbf{u}\}\	PROPN
bracis-33597	91	82	)	)	PUNCT
bracis-33597	91	83	.	.	PUNCT
bracis-33597	92	1	as	as	SCONJ
bracis-33597	92	2	an	an	DET
bracis-33597	92	3	interpretation	interpretation	NOUN
bracis-33597	92	4	defines	define	VERB
bracis-33597	92	5	a	a	DET
bracis-33597	92	6	partition	partition	NOUN
bracis-33597	92	7	among	among	ADP
bracis-33597	92	8	atoms	atom	NOUN
bracis-33597	92	9	in	in	ADP
bracis-33597	92	10	\	\	PROPN
bracis-33597	92	11	(	(	PUNCT
bracis-33597	92	12	hb	hb	X
bracis-33597	92	13	_	_	PUNCT
bracis-33597	92	14	p\	p\	NOUN
bracis-33597	92	15	)	)	PUNCT
bracis-33597	92	16	,	,	PUNCT
bracis-33597	92	17	when	when	SCONJ
bracis-33597	92	18	convenient	convenient	ADJ
bracis-33597	92	19	we	we	PRON
bracis-33597	92	20	write	write	VERB
bracis-33597	92	21	\(\mathcal	\(\mathcal	ADJ
bracis-33597	92	22	{	{	PUNCT
bracis-33597	92	23	i}\	i}\	NOUN
bracis-33597	92	24	)	)	PUNCT
bracis-33597	92	25	as	as	ADP
bracis-33597	92	26	the	the	DET
bracis-33597	92	27	triple	triple	ADJ
bracis-33597	92	28	\((\textbf{t}(\mathcal	\((\textbf{t}(\mathcal	PROPN
bracis-33597	92	29	{	{	PUNCT
bracis-33597	92	30	i	i	NOUN
bracis-33597	92	31	}	}	PUNCT
bracis-33597	92	32	)	)	PUNCT
bracis-33597	92	33	,	,	PUNCT
bracis-33597	92	34	\textbf{f}(\mathcal	\textbf{f}(\mathcal	NOUN
bracis-33597	92	35	{	{	PUNCT
bracis-33597	92	36	i	i	NOUN
bracis-33597	92	37	}	}	PUNCT
bracis-33597	92	38	)	)	PUNCT
bracis-33597	92	39	,	,	PUNCT
bracis-33597	92	40	\textbf{u}(\mathcal	\textbf{u}(\mathcal	ADJ
bracis-33597	92	41	{	{	PUNCT
bracis-33597	92	42	i}))\	i}))\	NOUN
bracis-33597	92	43	)	)	PUNCT
bracis-33597	92	44	.	.	PUNCT
bracis-33597	93	1	intuitively	intuitively	ADV
bracis-33597	93	2	,	,	PUNCT
bracis-33597	93	3	the	the	DET
bracis-33597	93	4	value	value	NOUN
bracis-33597	93	5	\(\textbf{t}\	\(\textbf{t}\	NOUN
bracis-33597	93	6	)	)	PUNCT
bracis-33597	93	7	indicates	indicate	VERB
bracis-33597	93	8	the	the	DET
bracis-33597	93	9	atom	atom	NOUN
bracis-33597	93	10	is	be	AUX
bracis-33597	93	11	true	true	ADJ
bracis-33597	93	12	in	in	ADP
bracis-33597	93	13	\(\mathcal	\(\mathcal	ADJ
bracis-33597	93	14	{	{	PUNCT
bracis-33597	93	15	i}\	i}\	NUM
bracis-33597	93	16	)	)	PUNCT
bracis-33597	93	17	,	,	PUNCT
bracis-33597	93	18	the	the	DET
bracis-33597	93	19	value	value	NOUN
bracis-33597	93	20	\(\textbf{f}\	\(\textbf{f}\	NOUN
bracis-33597	93	21	)	)	PUNCT
bracis-33597	93	22	indicates	indicate	VERB
bracis-33597	93	23	the	the	DET
bracis-33597	93	24	atom	atom	NOUN
bracis-33597	93	25	is	be	AUX
bracis-33597	93	26	false	false	ADJ
bracis-33597	93	27	in	in	ADP
bracis-33597	93	28	\(\mathcal	\(\mathcal	ADJ
bracis-33597	93	29	{	{	PUNCT
bracis-33597	93	30	i}\	i}\	NUM
bracis-33597	93	31	)	)	PUNCT
bracis-33597	93	32	,	,	PUNCT
bracis-33597	93	33	and	and	CCONJ
bracis-33597	93	34	the	the	DET
bracis-33597	93	35	value	value	NOUN
bracis-33597	93	36	\(\textbf{u}\	\(\textbf{u}\	PROPN
bracis-33597	93	37	)	)	PUNCT
bracis-33597	93	38	indicates	indicate	VERB
bracis-33597	93	39	the	the	DET
bracis-33597	93	40	atom	atom	NOUN
bracis-33597	93	41	is	be	AUX
bracis-33597	93	42	undefined	undefined	ADJ
bracis-33597	93	43	in	in	ADP
bracis-33597	93	44	\(\mathcal	\(\mathcal	ADJ
bracis-33597	93	45	{	{	PUNCT
bracis-33597	93	46	i}\	i}\	NUM
bracis-33597	93	47	)	)	PUNCT
bracis-33597	93	48	,	,	PUNCT
bracis-33597	93	49	i.e.	i.e.	X
bracis-33597	93	50	,	,	PUNCT
bracis-33597	93	51	neither	neither	CCONJ
bracis-33597	93	52	true	true	ADJ
bracis-33597	93	53	nor	nor	CCONJ
bracis-33597	93	54	false	false	ADJ
bracis-33597	93	55	.	.	PUNCT
bracis-33597	94	1	now	now	ADV
bracis-33597	94	2	we	we	PRON
bracis-33597	94	3	will	will	AUX
bracis-33597	94	4	consider	consider	VERB
bracis-33597	94	5	the	the	DET
bracis-33597	94	6	main	main	ADJ
bracis-33597	94	7	semantics	semantic	NOUN
bracis-33597	94	8	for	for	ADP
bracis-33597	94	9	\(\textit{nlp}\)s	\(\textit{nlp}\)s	ADJ
bracis-33597	94	10	.	.	PUNCT
bracis-33597	95	1	let	let	VERB
bracis-33597	95	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	95	3	{	{	PUNCT
bracis-33597	95	4	i}\	i}\	NOUN
bracis-33597	95	5	)	)	PUNCT
bracis-33597	95	6	be	be	AUX
bracis-33597	95	7	a	a	DET
bracis-33597	95	8	3	3	NUM
bracis-33597	95	9	-	-	PUNCT
bracis-33597	95	10	valued	value	VERB
bracis-33597	95	11	herbrand	herbrand	NOUN
bracis-33597	95	12	interpretation	interpretation	NOUN
bracis-33597	95	13	of	of	ADP
bracis-33597	95	14	p	p	NOUN
bracis-33597	95	15	;	;	PUNCT
bracis-33597	95	16	the	the	DET
bracis-33597	95	17	reduct	reduct	NOUN
bracis-33597	95	18	of	of	ADP
bracis-33597	95	19	p	p	NOUN
bracis-33597	95	20	with	with	ADP
bracis-33597	95	21	respect	respect	NOUN
bracis-33597	95	22	to	to	ADP
bracis-33597	95	23	\(\mathcal	\(\mathcal	ADJ
bracis-33597	95	24	{	{	PUNCT
bracis-33597	95	25	i}\	i}\	NUM
bracis-33597	95	26	)	)	PUNCT
bracis-33597	95	27	(	(	PUNCT
bracis-33597	95	28	written	write	VERB
bracis-33597	95	29	as	as	ADP
bracis-33597	95	30	\(p/\mathcal	\(p/\mathcal	ADJ
bracis-33597	95	31	{	{	PUNCT
bracis-33597	95	32	i}\	i}\	NUM
bracis-33597	95	33	)	)	PUNCT
bracis-33597	95	34	)	)	PUNCT
bracis-33597	95	35	is	be	AUX
bracis-33597	95	36	the	the	DET
bracis-33597	95	37	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	95	38	)	)	PUNCT
bracis-33597	95	39	constructed	construct	VERB
bracis-33597	95	40	using	use	VERB
bracis-33597	95	41	the	the	DET
bracis-33597	95	42	following	follow	VERB
bracis-33597	95	43	steps	step	NOUN
bracis-33597	95	44	:	:	PUNCT
bracis-33597	95	45	1	1	X
bracis-33597	95	46	.	.	X
bracis-33597	95	47	remove	remove	VERB
bracis-33597	95	48	any	any	DET
bracis-33597	95	49	\(a	\(a	NOUN
bracis-33597	95	50	\leftarrow	\leftarrow	PROPN
bracis-33597	95	51	a_1	a_1	NOUN
bracis-33597	95	52	,	,	PUNCT
bracis-33597	95	53	\ldots	\ldots	INTJ
bracis-33597	95	54	,	,	PUNCT
bracis-33597	95	55	a_m,\	a_m,\	ADJ
bracis-33597	95	56	)	)	PUNCT
bracis-33597	95	57	\(\mathtt	\(\mathtt	VERB
bracis-33597	95	58	{	{	PUNCT
bracis-33597	95	59	not\	not\	PROPN
bracis-33597	95	60	}	}	PUNCT
bracis-33597	95	61	b_1	b_1	PROPN
bracis-33597	95	62	,	,	PUNCT
bracis-33597	95	63	\ldots	\ldots	PROPN
bracis-33597	95	64	,	,	PUNCT
bracis-33597	95	65	\mathtt	\mathtt	PROPN
bracis-33597	95	66	{	{	PUNCT
bracis-33597	95	67	not\	not\	PROPN
bracis-33597	95	68	}	}	PUNCT
bracis-33597	95	69	b_n	b_n	ADJ
bracis-33597	95	70	\in	\in	PROPN
bracis-33597	95	71	p\	p\	NOUN
bracis-33597	95	72	)	)	PUNCT
bracis-33597	95	73	such	such	ADJ
bracis-33597	95	74	that	that	SCONJ
bracis-33597	95	75	\(\mathcal	\(\mathcal	ADJ
bracis-33597	95	76	{	{	PUNCT
bracis-33597	95	77	i}(b_j	i}(b_j	NOUN
bracis-33597	95	78	)	)	PUNCT
bracis-33597	95	79	=	=	SYM
bracis-33597	95	80	\textbf{t}\	\textbf{t}\	NOUN
bracis-33597	95	81	)	)	PUNCT
bracis-33597	95	82	for	for	ADP
bracis-33597	95	83	some	some	DET
bracis-33597	95	84	j	j	PROPN
bracis-33597	95	85	(	(	PUNCT
bracis-33597	95	86	\(1	\(1	PROPN
bracis-33597	95	87	\le	\le	PROPN
bracis-33597	95	88	j	j	PROPN
bracis-33597	95	89	\le	\le	PROPN
bracis-33597	95	90	n\	n\	PROPN
bracis-33597	95	91	)	)	PUNCT
bracis-33597	95	92	)	)	PUNCT
bracis-33597	95	93	;	;	PUNCT
bracis-33597	95	94	2	2	X
bracis-33597	95	95	.	.	NOUN
bracis-33597	95	96	afterwards	afterwards	ADV
bracis-33597	95	97	,	,	PUNCT
bracis-33597	95	98	remove	remove	VERB
bracis-33597	95	99	any	any	DET
bracis-33597	95	100	occurrence	occurrence	NOUN
bracis-33597	95	101	of	of	ADP
bracis-33597	95	102	\(\mathtt	\(\mathtt	NOUN
bracis-33597	95	103	{	{	PUNCT
bracis-33597	95	104	not\	not\	PROPN
bracis-33597	95	105	}	}	PUNCT
bracis-33597	95	106	b_j\	b_j\	PROPN
bracis-33597	95	107	)	)	PUNCT
bracis-33597	95	108	from	from	ADP
bracis-33597	95	109	p	p	PRON
bracis-33597	95	110	such	such	ADJ
bracis-33597	95	111	that	that	PRON
bracis-33597	95	112	\(\mathcal	\(\mathcal	ADJ
bracis-33597	95	113	{	{	PUNCT
bracis-33597	95	114	i}(b_j	i}(b_j	NOUN
bracis-33597	95	115	)	)	PUNCT
bracis-33597	95	116	=	=	SYM
bracis-33597	95	117	\textbf{f}\	\textbf{f}\	X
bracis-33597	95	118	)	)	PUNCT
bracis-33597	95	119	.	.	PUNCT
bracis-33597	96	1	3	3	X
bracis-33597	96	2	.	.	X
bracis-33597	96	3	then	then	ADV
bracis-33597	96	4	,	,	PUNCT
bracis-33597	96	5	replace	replace	VERB
bracis-33597	96	6	any	any	DET
bracis-33597	96	7	occurrence	occurrence	NOUN
bracis-33597	96	8	of	of	ADP
bracis-33597	96	9	\(\mathtt	\(\mathtt	NOUN
bracis-33597	96	10	{	{	PUNCT
bracis-33597	96	11	not\	not\	PROPN
bracis-33597	96	12	}	}	PUNCT
bracis-33597	96	13	b_j\	b_j\	PROPN
bracis-33597	96	14	)	)	PUNCT
bracis-33597	96	15	left	leave	VERB
bracis-33597	96	16	by	by	ADP
bracis-33597	96	17	a	a	DET
bracis-33597	96	18	special	special	ADJ
bracis-33597	96	19	atom	atom	NOUN
bracis-33597	96	20	\(\textbf{u}\	\(\textbf{u}\	PROPN
bracis-33597	96	21	)	)	PUNCT
bracis-33597	96	22	(	(	PUNCT
bracis-33597	96	23	\(\textbf{u	\(\textbf{u	ADJ
bracis-33597	96	24	}	}	PUNCT
bracis-33597	96	25	\not	\not	ADV
bracis-33597	96	26	\in	\in	ADJ
bracis-33597	96	27	hb	hb	X
bracis-33597	96	28	_	_	NOUN
bracis-33597	96	29	p\	p\	NOUN
bracis-33597	96	30	)	)	PUNCT
bracis-33597	96	31	)	)	PUNCT
bracis-33597	96	32	.	.	PUNCT
bracis-33597	97	1	in	in	ADP
bracis-33597	97	2	the	the	DET
bracis-33597	97	3	above	above	ADJ
bracis-33597	97	4	procedure	procedure	NOUN
bracis-33597	97	5	,	,	PUNCT
bracis-33597	97	6	\(\textbf{u}\	\(\textbf{u}\	PROPN
bracis-33597	97	7	)	)	PUNCT
bracis-33597	97	8	is	be	AUX
bracis-33597	97	9	assumed	assume	VERB
bracis-33597	97	10	to	to	PART
bracis-33597	97	11	be	be	AUX
bracis-33597	97	12	an	an	DET
bracis-33597	97	13	atom	atom	NOUN
bracis-33597	97	14	not	not	PART
bracis-33597	97	15	in	in	ADP
bracis-33597	97	16	\	\	PROPN
bracis-33597	97	17	(	(	PUNCT
bracis-33597	97	18	hb	hb	X
bracis-33597	97	19	_	_	PUNCT
bracis-33597	97	20	{	{	PUNCT
bracis-33597	97	21	p}\	p}\	NOUN
bracis-33597	97	22	)	)	PUNCT
bracis-33597	97	23	which	which	PRON
bracis-33597	97	24	is	be	AUX
bracis-33597	97	25	undefined	undefined	ADJ
bracis-33597	97	26	in	in	ADP
bracis-33597	97	27	all	all	DET
bracis-33597	97	28	interpretations	interpretation	NOUN
bracis-33597	97	29	of	of	ADP
bracis-33597	97	30	p	p	X
bracis-33597	97	31	(	(	PUNCT
bracis-33597	97	32	a	a	DET
bracis-33597	97	33	constant	constant	ADJ
bracis-33597	97	34	)	)	PUNCT
bracis-33597	97	35	.	.	PUNCT
bracis-33597	98	1	note	note	VERB
bracis-33597	98	2	that	that	SCONJ
bracis-33597	98	3	\(p/\mathcal	\(p/\mathcal	ADJ
bracis-33597	98	4	{	{	PUNCT
bracis-33597	98	5	i}\	i}\	NUM
bracis-33597	98	6	)	)	PUNCT
bracis-33597	98	7	is	be	AUX
bracis-33597	98	8	a	a	DET
bracis-33597	98	9	positive	positive	ADJ
bracis-33597	98	10	program	program	NOUN
bracis-33597	98	11	since	since	SCONJ
bracis-33597	98	12	all	all	DET
bracis-33597	98	13	negative	negative	ADJ
bracis-33597	98	14	literals	literal	NOUN
bracis-33597	98	15	have	have	AUX
bracis-33597	98	16	been	be	AUX
bracis-33597	98	17	removed	remove	VERB
bracis-33597	98	18	.	.	PUNCT
bracis-33597	99	1	as	as	ADP
bracis-33597	99	2	a	a	DET
bracis-33597	99	3	consequence	consequence	NOUN
bracis-33597	99	4	,	,	PUNCT
bracis-33597	99	5	\(p/\mathcal	\(p/\mathcal	ADJ
bracis-33597	99	6	{	{	PUNCT
bracis-33597	99	7	i}\	i}\	NUM
bracis-33597	99	8	)	)	PUNCT
bracis-33597	99	9	has	have	VERB
bracis-33597	99	10	a	a	DET
bracis-33597	99	11	unique	unique	ADJ
bracis-33597	99	12	least	least	ADJ
bracis-33597	99	13	3	3	NUM
bracis-33597	99	14	-	-	PUNCT
bracis-33597	99	15	valued	value	VERB
bracis-33597	99	16	 	 	SPACE
bracis-33597	99	17	model	model	NOUN
bracis-33597	99	18	[	[	X
bracis-33597	99	19	12	12	NUM
bracis-33597	99	20	]	]	PUNCT
bracis-33597	99	21	denoted	denote	VERB
bracis-33597	99	22	as	as	ADP
bracis-33597	99	23	\(\varpsi	\(\varpsi	NOUN
bracis-33597	99	24	_	_	PRON
bracis-33597	99	25	p(\mathcal	p(\mathcal	ADJ
bracis-33597	99	26	{	{	PUNCT
bracis-33597	99	27	i})\)footnote	i})\)footnote	PUNCT
bracis-33597	99	28	1	1	NUM
bracis-33597	99	29	with	with	ADP
bracis-33597	99	30	minimal	minimal	ADJ
bracis-33597	99	31	\(\textbf{t}(\varpsi	\(\textbf{t}(\varpsi	X
bracis-33597	99	32	_	_	NOUN
bracis-33597	99	33	p(\mathcal	p(\mathcal	ADJ
bracis-33597	99	34	{	{	PUNCT
bracis-33597	99	35	i}))\	i}))\	NOUN
bracis-33597	99	36	)	)	PUNCT
bracis-33597	99	37	and	and	CCONJ
bracis-33597	99	38	maximal	maximal	ADJ
bracis-33597	99	39	\(\textbf{f}(\varpsi	\(\textbf{f}(\varpsi	PROPN
bracis-33597	99	40	_	_	PUNCT
bracis-33597	99	41	p(\mathcal	p(\mathcal	ADJ
bracis-33597	99	42	{	{	PUNCT
bracis-33597	99	43	i}))\	i}))\	NOUN
bracis-33597	99	44	)	)	PUNCT
bracis-33597	99	45	(	(	PUNCT
bracis-33597	99	46	w.r.t	w.r.t	NOUN
bracis-33597	99	47	.	.	PUNCT
bracis-33597	100	1	set	set	VERB
bracis-33597	100	2	inclusion	inclusion	NOUN
bracis-33597	100	3	)	)	PUNCT
bracis-33597	101	1	such	such	ADJ
bracis-33597	101	2	that	that	SCONJ
bracis-33597	101	3	,	,	PUNCT
bracis-33597	101	4	for	for	ADP
bracis-33597	101	5	every	every	DET
bracis-33597	101	6	\(a	\(a	ADJ
bracis-33597	101	7	\in	\in	PROPN
bracis-33597	101	8	hb	hb	NOUN
bracis-33597	101	9	_	_	PUNCT
bracis-33597	101	10	{	{	PUNCT
bracis-33597	101	11	p}\	p}\	NUM
bracis-33597	101	12	)	)	PUNCT
bracis-33597	101	13	,	,	PUNCT
bracis-33597	101	14	(	(	PUNCT
bracis-33597	101	15	i	i	NOUN
bracis-33597	101	16	)	)	PUNCT
bracis-33597	101	17	\(a	\(a	PROPN
bracis-33597	101	18	\in	\in	PROPN
bracis-33597	101	19	\textbf{t}(\varpsi	\textbf{t}(\varpsi	PROPN
bracis-33597	101	20	_	_	NOUN
bracis-33597	101	21	p(\mathcal	p(\mathcal	ADJ
bracis-33597	101	22	{	{	PUNCT
bracis-33597	101	23	i}))\	i}))\	NOUN
bracis-33597	101	24	)	)	PUNCT
bracis-33597	101	25	if	if	SCONJ
bracis-33597	101	26	there	there	PRON
bracis-33597	101	27	is	be	VERB
bracis-33597	101	28	a	a	DET
bracis-33597	101	29	rule	rule	NOUN
bracis-33597	101	30	\(r^{\prime	\(r^{\prime	NOUN
bracis-33597	101	31	}	}	PUNCT
bracis-33597	101	32	\in	\in	PROPN
bracis-33597	101	33	p/\mathcal	p/\mathcal	ADJ
bracis-33597	101	34	{	{	PUNCT
bracis-33597	101	35	i}\	i}\	NUM
bracis-33597	101	36	)	)	PUNCT
bracis-33597	101	37	with	with	ADP
bracis-33597	101	38	\	\	PROPN
bracis-33597	101	39	(	(	PUNCT
bracis-33597	101	40	head	head	NOUN
bracis-33597	101	41	(	(	PUNCT
bracis-33597	101	42	r^{\prime	r^{\prime	NOUN
bracis-33597	101	43	}	}	PUNCT
bracis-33597	101	44	)	)	PUNCT
bracis-33597	101	45	=	=	SYM
bracis-33597	101	46	a\	a\	NOUN
bracis-33597	101	47	)	)	PUNCT
bracis-33597	101	48	and	and	CCONJ
bracis-33597	101	49	\	\	PROPN
bracis-33597	101	50	(	(	PUNCT
bracis-33597	101	51	body	body	NOUN
bracis-33597	101	52	^{+}(r^{\prime	^{+}(r^{\prime	PUNCT
bracis-33597	101	53	}	}	PUNCT
bracis-33597	101	54	)	)	PUNCT
bracis-33597	101	55	\subseteq	\subseteq	AUX
bracis-33597	101	56	\textbf{t}(\varpsi	\textbf{t}(\varpsi	VERB
bracis-33597	101	57	_	_	NOUN
bracis-33597	101	58	p(\mathcal	p(\mathcal	ADJ
bracis-33597	101	59	{	{	PUNCT
bracis-33597	101	60	i}))\	i}))\	NOUN
bracis-33597	101	61	)	)	PUNCT
bracis-33597	101	62	;	;	PUNCT
bracis-33597	101	63	and	and	CCONJ
bracis-33597	101	64	(	(	PUNCT
bracis-33597	101	65	ii	ii	NOUN
bracis-33597	101	66	)	)	PUNCT
bracis-33597	101	67	\(a	\(a	NOUN
bracis-33597	101	68	\in	\in	PROPN
bracis-33597	101	69	\textbf{f}(\varpsi	\textbf{f}(\varpsi	PROPN
bracis-33597	101	70	_	_	NOUN
bracis-33597	101	71	p(\mathcal	p(\mathcal	ADJ
bracis-33597	101	72	{	{	PUNCT
bracis-33597	101	73	i}))\	i}))\	NOUN
bracis-33597	101	74	)	)	PUNCT
bracis-33597	101	75	if	if	SCONJ
bracis-33597	101	76	for	for	ADP
bracis-33597	101	77	every	every	DET
bracis-33597	101	78	rule	rule	NOUN
bracis-33597	101	79	\(r^{\prime	\(r^{\prime	NOUN
bracis-33597	101	80	}	}	PUNCT
bracis-33597	101	81	\in	\in	PROPN
bracis-33597	101	82	p/\mathcal	p/\mathcal	ADJ
bracis-33597	101	83	{	{	PUNCT
bracis-33597	101	84	i}\	i}\	NUM
bracis-33597	101	85	)	)	PUNCT
bracis-33597	101	86	with	with	ADP
bracis-33597	101	87	\	\	PROPN
bracis-33597	101	88	(	(	PUNCT
bracis-33597	101	89	head	head	NOUN
bracis-33597	101	90	(	(	PUNCT
bracis-33597	101	91	r^{\prime	r^{\prime	NOUN
bracis-33597	101	92	}	}	PUNCT
bracis-33597	101	93	)	)	PUNCT
bracis-33597	102	1	=	=	SYM
bracis-33597	102	2	a\	a\	NOUN
bracis-33597	102	3	)	)	PUNCT
bracis-33597	102	4	,	,	PUNCT
bracis-33597	102	5	it	it	PRON
bracis-33597	102	6	holds	hold	VERB
bracis-33597	102	7	\	\	PROPN
bracis-33597	102	8	(	(	PUNCT
bracis-33597	102	9	body	body	NOUN
bracis-33597	102	10	^{+}(r^{\prime	^{+}(r^{\prime	PUNCT
bracis-33597	102	11	}	}	PUNCT
bracis-33597	102	12	)	)	PUNCT
bracis-33597	102	13	\cap	\cap	PROPN
bracis-33597	102	14	\textbf{f}(\varpsi	\textbf{f}(\varpsi	VERB
bracis-33597	102	15	_	_	PUNCT
bracis-33597	102	16	p(\mathcal	p(\mathcal	ADJ
bracis-33597	102	17	{	{	PUNCT
bracis-33597	102	18	i	i	NOUN
bracis-33597	102	19	}	}	PUNCT
bracis-33597	102	20	)	)	PUNCT
bracis-33597	102	21	)	)	PUNCT
bracis-33597	103	1	\ne	\ne	PROPN
bracis-33597	103	2	\emptyset	\emptyset	VERB
bracis-33597	103	3	\	\	NOUN
bracis-33597	103	4	)	)	PUNCT
bracis-33597	103	5	.	.	PUNCT
bracis-33597	104	1	we	we	PRON
bracis-33597	104	2	can	can	AUX
bracis-33597	104	3	now	now	ADV
bracis-33597	104	4	describe	describe	VERB
bracis-33597	104	5	the	the	DET
bracis-33597	104	6	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	104	7	)	)	PUNCT
bracis-33597	104	8	semantics	semantic	NOUN
bracis-33597	104	9	studied	study	VERB
bracis-33597	104	10	in	in	ADP
bracis-33597	104	11	this	this	DET
bracis-33597	104	12	paper	paper	NOUN
bracis-33597	104	13	:	:	PUNCT
bracis-33597	104	14	definition	definition	NOUN
bracis-33597	104	15	7	7	NUM
bracis-33597	104	16	let	let	VERB
bracis-33597	104	17	p	p	PRON
bracis-33597	104	18	be	be	AUX
bracis-33597	104	19	an	an	DET
bracis-33597	104	20	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	104	21	)	)	PUNCT
bracis-33597	104	22	and	and	CCONJ
bracis-33597	104	23	\(\mathcal	\(\mathcal	ADJ
bracis-33597	104	24	{	{	PUNCT
bracis-33597	104	25	i}\	i}\	NOUN
bracis-33597	104	26	)	)	PUNCT
bracis-33597	104	27	be	be	AUX
bracis-33597	104	28	an	an	DET
bracis-33597	104	29	interpretation	interpretation	NOUN
bracis-33597	104	30	:	:	PUNCT
bracis-33597	104	31	\(\mathcal	\(\mathcal	ADJ
bracis-33597	104	32	{	{	PUNCT
bracis-33597	104	33	i}\	i}\	NOUN
bracis-33597	104	34	)	)	PUNCT
bracis-33597	104	35	is	be	AUX
bracis-33597	104	36	a	a	DET
bracis-33597	104	37	partial	partial	ADJ
bracis-33597	104	38	stable	stable	ADJ
bracis-33597	104	39	model	model	NOUN
bracis-33597	104	40	of	of	ADP
bracis-33597	104	41	p	p	PROPN
bracis-33597	104	42	iff	iff	PROPN
bracis-33597	104	43	\(\varpsi	\(\varpsi	PRON
bracis-33597	104	44	_	_	PUNCT
bracis-33597	104	45	p(\mathcal	p(\mathcal	ADJ
bracis-33597	104	46	{	{	PUNCT
bracis-33597	104	47	i	i	NOUN
bracis-33597	104	48	}	}	PUNCT
bracis-33597	104	49	)	)	PUNCT
bracis-33597	105	1	=	=	PUNCT
bracis-33597	105	2	\mathcal	\mathcal	ADJ
bracis-33597	105	3	{	{	PUNCT
bracis-33597	105	4	i}\	i}\	NUM
bracis-33597	105	5	)	)	PUNCT
bracis-33597	106	1	[	[	X
bracis-33597	106	2	12	12	NUM
bracis-33597	106	3	]	]	X
bracis-33597	106	4	;	;	PUNCT
bracis-33597	106	5	\(\mathcal	\(\mathcal	ADJ
bracis-33597	106	6	{	{	PUNCT
bracis-33597	106	7	i}\	i}\	NOUN
bracis-33597	106	8	)	)	PUNCT
bracis-33597	106	9	is	be	AUX
bracis-33597	106	10	a	a	DET
bracis-33597	106	11	well	well	ADV
bracis-33597	106	12	-	-	PUNCT
bracis-33597	106	13	founded	found	VERB
bracis-33597	106	14	(	(	PUNCT
bracis-33597	106	15	resp	resp	NOUN
bracis-33597	106	16	.	.	PUNCT
bracis-33597	107	1	regular	regular	ADJ
bracis-33597	107	2	)	)	PUNCT
bracis-33597	107	3	model	model	NOUN
bracis-33597	107	4	of	of	ADP
bracis-33597	107	5	p	p	PROPN
bracis-33597	107	6	iff	iff	PROPN
bracis-33597	107	7	\(\varpsi	\(\varpsi	PRON
bracis-33597	107	8	_	_	PUNCT
bracis-33597	107	9	p(\mathcal	p(\mathcal	ADJ
bracis-33597	107	10	{	{	PUNCT
bracis-33597	107	11	i	i	NOUN
bracis-33597	107	12	}	}	PUNCT
bracis-33597	107	13	)	)	PUNCT
bracis-33597	108	1	=	=	PUNCT
bracis-33597	108	2	\mathcal	\mathcal	ADJ
bracis-33597	108	3	{	{	PUNCT
bracis-33597	108	4	i}\	i}\	NUM
bracis-33597	108	5	)	)	PUNCT
bracis-33597	108	6	and	and	CCONJ
bracis-33597	108	7	\(\textbf{t}(\mathcal	\(\textbf{t}(\mathcal	ADJ
bracis-33597	108	8	{	{	PUNCT
bracis-33597	108	9	i})\	i})\	X
bracis-33597	108	10	)	)	PUNCT
bracis-33597	108	11	is	be	AUX
bracis-33597	108	12	minimal	minimal	ADJ
bracis-33597	108	13	(	(	PUNCT
bracis-33597	108	14	resp	resp	NOUN
bracis-33597	108	15	.	.	PUNCT
bracis-33597	109	1	maximal	maximal	ADJ
bracis-33597	109	2	)	)	PUNCT
bracis-33597	109	3	w.r.t	w.r.t	NOUN
bracis-33597	109	4	.	.	PUNCT
bracis-33597	110	1	set	set	VERB
bracis-33597	110	2	inclusion	inclusion	NOUN
bracis-33597	110	3	among	among	ADP
bracis-33597	110	4	all	all	DET
bracis-33597	110	5	partial	partial	ADJ
bracis-33597	110	6	stable	stable	ADJ
bracis-33597	110	7	models	model	NOUN
bracis-33597	110	8	of	of	ADP
bracis-33597	110	9	p	p	NOUN
bracis-33597	110	10	[	[	X
bracis-33597	110	11	11	11	NUM
bracis-33597	110	12	,	,	PUNCT
bracis-33597	110	13	12	12	NUM
bracis-33597	110	14	]	]	PUNCT
bracis-33597	110	15	;	;	PUNCT
bracis-33597	110	16	\(\mathcal	\(\mathcal	X
bracis-33597	110	17	{	{	PUNCT
bracis-33597	110	18	i}\	i}\	NOUN
bracis-33597	110	19	)	)	PUNCT
bracis-33597	110	20	is	be	AUX
bracis-33597	110	21	a	a	DET
bracis-33597	110	22	(	(	PUNCT
bracis-33597	110	23	2	2	NUM
bracis-33597	110	24	-	-	PUNCT
bracis-33597	110	25	valued	value	VERB
bracis-33597	110	26	)	)	PUNCT
bracis-33597	110	27	stable	stable	ADJ
bracis-33597	110	28	model	model	NOUN
bracis-33597	110	29	of	of	ADP
bracis-33597	110	30	p	p	PROPN
bracis-33597	110	31	iff	iff	PROPN
bracis-33597	110	32	\(\varpsi	\(\varpsi	PRON
bracis-33597	110	33	_	_	PUNCT
bracis-33597	110	34	p(\mathcal	p(\mathcal	ADJ
bracis-33597	110	35	{	{	PUNCT
bracis-33597	110	36	i	i	NOUN
bracis-33597	110	37	}	}	PUNCT
bracis-33597	110	38	)	)	PUNCT
bracis-33597	111	1	=	=	PUNCT
bracis-33597	111	2	\mathcal	\mathcal	ADJ
bracis-33597	111	3	{	{	PUNCT
bracis-33597	111	4	i}\	i}\	NUM
bracis-33597	111	5	)	)	PUNCT
bracis-33597	111	6	and	and	CCONJ
bracis-33597	111	7	\(\textbf{u}(\mathcal	\(\textbf{u}(\mathcal	ADJ
bracis-33597	111	8	{	{	PUNCT
bracis-33597	111	9	i	i	NOUN
bracis-33597	111	10	}	}	PUNCT
bracis-33597	111	11	)	)	PUNCT
bracis-33597	112	1	=	=	PUNCT
bracis-33597	112	2	\emptyset	\emptyset	VERB
bracis-33597	112	3	\	\	NOUN
bracis-33597	112	4	)	)	PUNCT
bracis-33597	113	1	[	[	X
bracis-33597	113	2	12	12	NUM
bracis-33597	113	3	]	]	X
bracis-33597	113	4	;	;	PUNCT
bracis-33597	113	5	\(\mathcal	\(\mathcal	ADJ
bracis-33597	113	6	{	{	PUNCT
bracis-33597	113	7	i}\	i}\	NOUN
bracis-33597	113	8	)	)	PUNCT
bracis-33597	113	9	is	be	AUX
bracis-33597	113	10	an	an	DET
bracis-33597	113	11	l	l	ADJ
bracis-33597	113	12	-	-	ADJ
bracis-33597	113	13	stable	stable	ADJ
bracis-33597	113	14	model	model	NOUN
bracis-33597	113	15	of	of	ADP
bracis-33597	113	16	p	p	PROPN
bracis-33597	113	17	iff	iff	PROPN
bracis-33597	113	18	\(\varpsi	\(\varpsi	PRON
bracis-33597	113	19	_	_	PUNCT
bracis-33597	113	20	p(\mathcal	p(\mathcal	ADJ
bracis-33597	113	21	{	{	PUNCT
bracis-33597	113	22	i	i	NOUN
bracis-33597	113	23	}	}	PUNCT
bracis-33597	113	24	)	)	PUNCT
bracis-33597	114	1	=	=	PUNCT
bracis-33597	114	2	\mathcal	\mathcal	ADJ
bracis-33597	114	3	{	{	PUNCT
bracis-33597	114	4	i}\	i}\	NUM
bracis-33597	114	5	)	)	PUNCT
bracis-33597	114	6	and	and	CCONJ
bracis-33597	114	7	\(\textbf{u}(\mathcal	\(\textbf{u}(\mathcal	ADJ
bracis-33597	114	8	{	{	PUNCT
bracis-33597	114	9	i})\	i})\	X
bracis-33597	114	10	)	)	PUNCT
bracis-33597	114	11	is	be	AUX
bracis-33597	114	12	minimal	minimal	ADJ
bracis-33597	114	13	w.r.t	w.r.t	NOUN
bracis-33597	114	14	.	.	PUNCT
bracis-33597	115	1	set	set	VERB
bracis-33597	115	2	inclusion	inclusion	NOUN
bracis-33597	115	3	among	among	ADP
bracis-33597	115	4	all	all	DET
bracis-33597	115	5	partial	partial	ADJ
bracis-33597	115	6	stable	stable	ADJ
bracis-33597	115	7	models	model	NOUN
bracis-33597	115	8	of	of	ADP
bracis-33597	115	9	p	p	NOUN
bracis-33597	115	10	[	[	X
bracis-33597	115	11	11	11	NUM
bracis-33597	115	12	]	]	PUNCT
bracis-33597	115	13	.	.	PUNCT
bracis-33597	116	1	although	although	SCONJ
bracis-33597	116	2	some	some	PRON
bracis-33597	116	3	of	of	ADP
bracis-33597	116	4	these	these	DET
bracis-33597	116	5	definitions	definition	NOUN
bracis-33597	116	6	are	be	AUX
bracis-33597	116	7	not	not	PART
bracis-33597	116	8	standard	standard	ADJ
bracis-33597	116	9	in	in	ADP
bracis-33597	116	10	logic	logic	NOUN
bracis-33597	116	11	programming	programming	NOUN
bracis-33597	116	12	literature	literature	NOUN
bracis-33597	116	13	,	,	PUNCT
bracis-33597	116	14	their	their	PRON
bracis-33597	116	15	equivalence	equivalence	NOUN
bracis-33597	116	16	is	be	AUX
bracis-33597	116	17	proved	prove	VERB
bracis-33597	116	18	in	in	ADP
bracis-33597	116	19	[	[	X
bracis-33597	116	20	7	7	NUM
bracis-33597	116	21	]	]	PUNCT
bracis-33597	116	22	.	.	PUNCT
bracis-33597	117	1	this	this	DET
bracis-33597	117	2	format	format	NOUN
bracis-33597	117	3	helps	help	VERB
bracis-33597	117	4	us	we	PRON
bracis-33597	117	5	to	to	PART
bracis-33597	117	6	relate	relate	VERB
bracis-33597	117	7	\(\textit{nlp}\	\(\textit{nlp}\	PROPN
bracis-33597	117	8	)	)	PUNCT
bracis-33597	117	9	and	and	CCONJ
bracis-33597	117	10	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	117	11	)	)	PUNCT
bracis-33597	117	12	semantics	semantic	NOUN
bracis-33597	117	13	due	due	ADP
bracis-33597	117	14	to	to	ADP
bracis-33597	117	15	the	the	DET
bracis-33597	117	16	structural	structural	ADJ
bracis-33597	117	17	similarities	similarity	NOUN
bracis-33597	117	18	between	between	ADP
bracis-33597	117	19	definition	definition	NOUN
bracis-33597	117	20	7	7	NUM
bracis-33597	117	21	and	and	CCONJ
bracis-33597	117	22	definitions	definition	NOUN
bracis-33597	117	23	3	3	NUM
bracis-33597	117	24	and	and	CCONJ
bracis-33597	117	25	4	4	NUM
bracis-33597	117	26	.	.	X
bracis-33597	118	1	we	we	PRON
bracis-33597	118	2	illustrate	illustrate	VERB
bracis-33597	118	3	these	these	DET
bracis-33597	118	4	semantics	semantic	NOUN
bracis-33597	118	5	in	in	ADP
bracis-33597	118	6	the	the	DET
bracis-33597	118	7	following	follow	VERB
bracis-33597	118	8	example	example	NOUN
bracis-33597	118	9	:	:	PUNCT
bracis-33597	118	10	example	example	NOUN
bracis-33597	118	11	2	2	NUM
bracis-33597	118	12	consider	consider	VERB
bracis-33597	118	13	the	the	DET
bracis-33597	118	14	following	follow	VERB
bracis-33597	118	15	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	118	16	)	)	PUNCT
bracis-33597	118	17	p	p	X
bracis-33597	118	18	:	:	PUNCT
bracis-33597	118	19	$	$	SYM
bracis-33597	118	20	$	$	NUM
bracis-33597	118	21	\begin{array}{llcll	\begin{array}{llcll	NOUN
bracis-33597	118	22	}	}	PUNCT
bracis-33597	118	23	r_{0	r_{0	PROPN
bracis-33597	118	24	}	}	PUNCT
bracis-33597	118	25	:	:	PUNCT
bracis-33597	118	26	&	&	CCONJ
bracis-33597	118	27	d	d	PROPN
bracis-33597	118	28	\leftarrow	\leftarrow	PROPN
bracis-33597	118	29	\texttt{not}\	\texttt{not}\	NOUN
bracis-33597	118	30	;	;	PUNCT
bracis-33597	118	31	d	d	PROPN
bracis-33597	118	32	&	&	CCONJ
bracis-33597	118	33	&	&	CCONJ
bracis-33597	118	34	r_{1	r_{1	PROPN
bracis-33597	118	35	}	}	PUNCT
bracis-33597	118	36	:	:	PUNCT
bracis-33597	118	37	&	&	CCONJ
bracis-33597	118	38	c	c	PROPN
bracis-33597	118	39	\leftarrow	\leftarrow	PROPN
bracis-33597	118	40	\texttt{not}\	\texttt{not}\	NOUN
bracis-33597	118	41	;	;	PUNCT
bracis-33597	118	42	c	c	X
bracis-33597	118	43	,	,	PUNCT
bracis-33597	118	44	\texttt{not}\	\texttt{not}\	NUM
bracis-33597	118	45	;	;	PUNCT
bracis-33597	119	1	d	d	NUM
bracis-33597	119	2	\\	\\	NOUN
bracis-33597	119	3	r_{2	r_{2	ADV
bracis-33597	119	4	}	}	PUNCT
bracis-33597	119	5	:	:	PUNCT
bracis-33597	119	6	&	&	CCONJ
bracis-33597	119	7	a	a	DET
bracis-33597	119	8	\leftarrow	\leftarrow	NOUN
bracis-33597	119	9	\texttt{not}\	\texttt{not}\	NOUN
bracis-33597	119	10	;	;	PUNCT
bracis-33597	119	11	b	b	PROPN
bracis-33597	119	12	&	&	CCONJ
bracis-33597	119	13	&	&	CCONJ
bracis-33597	119	14	r_{3	r_{3	PROPN
bracis-33597	119	15	}	}	PUNCT
bracis-33597	119	16	:	:	PUNCT
bracis-33597	119	17	&	&	CCONJ
bracis-33597	119	18	b	b	X
bracis-33597	119	19	\leftarrow	\leftarrow	NOUN
bracis-33597	119	20	\texttt{not}\	\texttt{not}\	NOUN
bracis-33597	119	21	;	;	PUNCT
bracis-33597	119	22	a	a	DET
bracis-33597	119	23	\\	\\	NOUN
bracis-33597	119	24	r_{4	r_{4	VERB
bracis-33597	119	25	}	}	PUNCT
bracis-33597	119	26	:	:	PUNCT
bracis-33597	119	27	&	&	CCONJ
bracis-33597	119	28	c	c	PROPN
bracis-33597	119	29	\leftarrow	\leftarrow	PROPN
bracis-33597	119	30	\texttt{not}\	\texttt{not}\	NOUN
bracis-33597	119	31	;	;	PUNCT
bracis-33597	119	32	c	c	X
bracis-33597	119	33	,	,	PUNCT
bracis-33597	119	34	\texttt{not}\	\texttt{not}\	NUM
bracis-33597	119	35	;	;	PUNCT
bracis-33597	119	36	a	a	PRON
bracis-33597	119	37	&	&	CCONJ
bracis-33597	119	38	&	&	CCONJ
bracis-33597	119	39	r_{5	r_{5	PROPN
bracis-33597	119	40	}	}	PUNCT
bracis-33597	119	41	:	:	PUNCT
bracis-33597	119	42	&	&	CCONJ
bracis-33597	119	43	e	e	PROPN
bracis-33597	119	44	\leftarrow	\leftarrow	PROPN
bracis-33597	119	45	\texttt{not}\	\texttt{not}\	NOUN
bracis-33597	119	46	;	;	PUNCT
bracis-33597	119	47	e	e	NOUN
bracis-33597	119	48	,	,	PUNCT
bracis-33597	119	49	\texttt{not}\	\texttt{not}\	NUM
bracis-33597	119	50	;	;	PUNCT
bracis-33597	119	51	b	b	X
bracis-33597	119	52	\end{array	\end{array	ADJ
bracis-33597	119	53	}	}	SYM
bracis-33597	119	54	$	$	SYM
bracis-33597	119	55	$	$	SYM
bracis-33597	119	56	this	this	DET
bracis-33597	119	57	program	program	NOUN
bracis-33597	119	58	has	have	VERB
bracis-33597	119	59	partial	partial	ADJ
bracis-33597	119	60	stable	stable	ADJ
bracis-33597	119	61	models	model	NOUN
bracis-33597	119	62	\(\mathcal	\(\mathcal	ADJ
bracis-33597	119	63	m_1	m_1	PROPN
bracis-33597	119	64	=	=	PUNCT
bracis-33597	119	65	(	(	PUNCT
bracis-33597	119	66	\emptyset	\emptyset	VERB
bracis-33597	119	67	,	,	PUNCT
bracis-33597	119	68	\emptyset	\emptyset	VERB
bracis-33597	119	69	,	,	PUNCT
bracis-33597	119	70	hb	hb	X
bracis-33597	119	71	_	_	NOUN
bracis-33597	119	72	p)\	p)\	NOUN
bracis-33597	119	73	)	)	PUNCT
bracis-33597	119	74	,	,	PUNCT
bracis-33597	119	75	\(\mathcal	\(\mathcal	ADJ
bracis-33597	119	76	m_2	m_2	PROPN
bracis-33597	119	77	=	=	SYM
bracis-33597	119	78	(	(	PUNCT
bracis-33597	119	79	\left\	\left\	PROPN
bracis-33597	119	80	{	{	PUNCT
bracis-33597	119	81	a	a	DET
bracis-33597	119	82	\right\	\right\	ADJ
bracis-33597	119	83	}	}	PUNCT
bracis-33597	119	84	,	,	PUNCT
bracis-33597	119	85	\	\	PROPN
bracis-33597	119	86	{	{	PUNCT
bracis-33597	119	87	b	b	PROPN
bracis-33597	119	88	\	\	NOUN
bracis-33597	119	89	}	}	PUNCT
bracis-33597	119	90	,	,	PUNCT
bracis-33597	119	91	\	\	PROPN
bracis-33597	119	92	{	{	PUNCT
bracis-33597	119	93	c,\	c,\	ADJ
bracis-33597	119	94	)	)	PUNCT
bracis-33597	119	95	\(d	\(d	NOUN
bracis-33597	119	96	,	,	PUNCT
bracis-33597	119	97	e	e	NOUN
bracis-33597	119	98	\})\	\})\	NOUN
bracis-33597	119	99	)	)	PUNCT
bracis-33597	119	100	,	,	PUNCT
bracis-33597	119	101	\(\mathcal	\(\mathcal	ADJ
bracis-33597	119	102	m_3	m_3	PROPN
bracis-33597	119	103	=	=	SYM
bracis-33597	119	104	(	(	PUNCT
bracis-33597	119	105	\left\	\left\	PROPN
bracis-33597	119	106	{	{	PUNCT
bracis-33597	119	107	b	b	PROPN
bracis-33597	119	108	\right\	\right\	ADJ
bracis-33597	119	109	}	}	PUNCT
bracis-33597	119	110	,	,	PUNCT
bracis-33597	119	111	\left\	\left\	PROPN
bracis-33597	119	112	{	{	PUNCT
bracis-33597	119	113	a	a	X
bracis-33597	119	114	,	,	PUNCT
bracis-33597	119	115	e	e	X
bracis-33597	119	116	\right\	\right\	ADV
bracis-33597	119	117	}	}	PUNCT
bracis-33597	119	118	,	,	PUNCT
bracis-33597	119	119	\left\	\left\	PROPN
bracis-33597	119	120	{	{	PUNCT
bracis-33597	119	121	c	c	X
bracis-33597	119	122	,	,	PUNCT
bracis-33597	119	123	d	d	X
bracis-33597	119	124	\right\	\right\	ADV
bracis-33597	119	125	}	}	PUNCT
bracis-33597	119	126	)	)	PUNCT
bracis-33597	119	127	\	\	PROPN
bracis-33597	119	128	)	)	PUNCT
bracis-33597	119	129	;	;	PUNCT
bracis-33597	119	130	well	well	ADV
bracis-33597	119	131	-	-	PUNCT
bracis-33597	119	132	founded	found	VERB
bracis-33597	119	133	model	model	NOUN
bracis-33597	119	134	is	be	AUX
bracis-33597	119	135	\(\mathcal	\(\mathcal	ADJ
bracis-33597	119	136	m_1\	m_1\	PROPN
bracis-33597	119	137	)	)	PUNCT
bracis-33597	119	138	;	;	PUNCT
bracis-33597	119	139	regular	regular	ADJ
bracis-33597	119	140	models	model	NOUN
bracis-33597	119	141	are	be	AUX
bracis-33597	119	142	\(\mathcal	\(\mathcal	ADJ
bracis-33597	119	143	m_2\	m_2\	PROPN
bracis-33597	119	144	)	)	PUNCT
bracis-33597	119	145	and	and	CCONJ
bracis-33597	119	146	\(\mathcal	\(\mathcal	ADJ
bracis-33597	119	147	m_3\	m_3\	NOUN
bracis-33597	119	148	)	)	PUNCT
bracis-33597	119	149	;	;	PUNCT
bracis-33597	119	150	there	there	PRON
bracis-33597	119	151	are	be	VERB
bracis-33597	119	152	no	no	DET
bracis-33597	119	153	stable	stable	ADJ
bracis-33597	119	154	models	model	NOUN
bracis-33597	119	155	;	;	PUNCT
bracis-33597	119	156	and	and	CCONJ
bracis-33597	119	157	l	l	ADJ
bracis-33597	119	158	-	-	ADJ
bracis-33597	119	159	stable	stable	ADJ
bracis-33597	119	160	model	model	NOUN
bracis-33597	119	161	is	be	AUX
bracis-33597	119	162	\(\mathcal	\(\mathcal	ADJ
bracis-33597	119	163	m_3\	m_3\	NOUN
bracis-33597	119	164	)	)	PUNCT
bracis-33597	119	165	.	.	PUNCT
bracis-33597	120	1	3	3	NUM
bracis-33597	120	2	from	from	ADP
bracis-33597	120	3	\(\textit{nlp}\)s	\(\textit{nlp}\)s	ADJ
bracis-33597	120	4	to	to	PART
bracis-33597	120	5	 	 	SPACE
bracis-33597	120	6	\(\textit{baf}\)s	\(\textit{baf}\)s	ADJ
bracis-33597	120	7	in	in	ADP
bracis-33597	120	8	this	this	DET
bracis-33597	120	9	section	section	NOUN
bracis-33597	120	10	,	,	PUNCT
bracis-33597	120	11	we	we	PRON
bracis-33597	120	12	devise	devise	VERB
bracis-33597	120	13	a	a	DET
bracis-33597	120	14	translation	translation	NOUN
bracis-33597	120	15	from	from	ADP
bracis-33597	120	16	\(\textit{nlp}\)s	\(\textit{nlp}\)s	PROPN
bracis-33597	120	17	to	to	ADP
bracis-33597	120	18	\(\textit{baf}\)s	\(\textit{baf}\)s	PROPN
bracis-33597	120	19	.	.	PUNCT
bracis-33597	121	1	we	we	PRON
bracis-33597	121	2	wish	wish	VERB
bracis-33597	121	3	to	to	PART
bracis-33597	121	4	show	show	VERB
bracis-33597	121	5	that	that	SCONJ
bracis-33597	121	6	it	it	PRON
bracis-33597	121	7	preserves	preserve	VERB
bracis-33597	121	8	the	the	DET
bracis-33597	121	9	main	main	ADJ
bracis-33597	121	10	semantics	semantic	NOUN
bracis-33597	121	11	considered	consider	VERB
bracis-33597	121	12	in	in	ADP
bracis-33597	121	13	this	this	DET
bracis-33597	121	14	paper	paper	NOUN
bracis-33597	121	15	,	,	PUNCT
bracis-33597	121	16	including	include	VERB
bracis-33597	121	17	the	the	DET
bracis-33597	121	18	l	l	ADJ
bracis-33597	121	19	-	-	ADJ
bracis-33597	121	20	stable	stable	ADJ
bracis-33597	121	21	semantics	semantic	NOUN
bracis-33597	121	22	.	.	PUNCT
bracis-33597	122	1	we	we	PRON
bracis-33597	122	2	start	start	VERB
bracis-33597	122	3	by	by	ADP
bracis-33597	122	4	creating	create	VERB
bracis-33597	122	5	arguments	argument	NOUN
bracis-33597	122	6	for	for	ADP
bracis-33597	122	7	derivations	derivation	NOUN
bracis-33597	122	8	of	of	ADP
bracis-33597	122	9	rules	rule	NOUN
bracis-33597	122	10	of	of	ADP
bracis-33597	122	11	p	p	NOUN
bracis-33597	122	12	,	,	PUNCT
bracis-33597	122	13	exactly	exactly	ADV
bracis-33597	122	14	as	as	SCONJ
bracis-33597	122	15	done	do	VERB
bracis-33597	122	16	in	in	ADP
bracis-33597	122	17	[	[	X
bracis-33597	122	18	7	7	NUM
bracis-33597	122	19	]	]	PUNCT
bracis-33597	122	20	.	.	PUNCT
bracis-33597	123	1	definition	definition	NOUN
bracis-33597	123	2	8	8	NUM
bracis-33597	123	3	[	[	X
bracis-33597	123	4	7	7	X
bracis-33597	123	5	]	]	PUNCT
bracis-33597	123	6	let	let	VERB
bracis-33597	123	7	p	p	PRON
bracis-33597	123	8	be	be	AUX
bracis-33597	123	9	an	an	DET
bracis-33597	123	10	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	123	11	)	)	PUNCT
bracis-33597	123	12	and	and	CCONJ
bracis-33597	123	13	\(\mathcal	\(\mathcal	ADJ
bracis-33597	123	14	{	{	PUNCT
bracis-33597	123	15	a}_p\	a}_p\	NOUN
bracis-33597	123	16	)	)	PUNCT
bracis-33597	123	17	be	be	VERB
bracis-33597	123	18	the	the	DET
bracis-33597	123	19	set	set	NOUN
bracis-33597	123	20	of	of	ADP
bracis-33597	123	21	arguments	argument	NOUN
bracis-33597	123	22	recursively	recursively	ADV
bracis-33597	123	23	defined	define	VERB
bracis-33597	123	24	below	below	ADV
bracis-33597	123	25	.	.	PUNCT
bracis-33597	124	1	if	if	SCONJ
bracis-33597	124	2	\(c	\(c	NOUN
bracis-33597	124	3	\leftarrow	\leftarrow	PROPN
bracis-33597	124	4	\mathtt	\mathtt	PROPN
bracis-33597	124	5	{	{	PUNCT
bracis-33597	124	6	not\	not\	PROPN
bracis-33597	124	7	}	}	PUNCT
bracis-33597	124	8	b_1	b_1	PROPN
bracis-33597	124	9	,	,	PUNCT
bracis-33597	124	10	\ldots	\ldots	PROPN
bracis-33597	124	11	,	,	PUNCT
bracis-33597	124	12	\mathtt	\mathtt	PROPN
bracis-33597	124	13	{	{	PUNCT
bracis-33597	124	14	not\	not\	PROPN
bracis-33597	124	15	}	}	PUNCT
bracis-33597	124	16	b_m\	b_m\	PROPN
bracis-33597	124	17	)	)	PUNCT
bracis-33597	124	18	is	be	AUX
bracis-33597	124	19	a	a	DET
bracis-33597	124	20	rule	rule	NOUN
bracis-33597	124	21	in	in	ADP
bracis-33597	124	22	p	p	X
bracis-33597	124	23	,	,	PUNCT
bracis-33597	124	24	it	it	PRON
bracis-33597	124	25	is	be	AUX
bracis-33597	124	26	also	also	ADV
bracis-33597	124	27	an	an	DET
bracis-33597	124	28	argument	argument	NOUN
bracis-33597	124	29	(	(	PUNCT
bracis-33597	124	30	say	say	VERB
bracis-33597	124	31	a	a	PRON
bracis-33597	124	32	)	)	PUNCT
bracis-33597	124	33	with	with	ADP
bracis-33597	124	34	\(\texttt{conc}(a	\(\texttt{conc}(a	NUM
bracis-33597	124	35	)	)	PUNCT
bracis-33597	124	36	=	=	SYM
bracis-33597	124	37	c\	c\	NOUN
bracis-33597	124	38	)	)	PUNCT
bracis-33597	124	39	,	,	PUNCT
bracis-33597	124	40	\(\texttt{rules}(a	\(\texttt{rules}(a	PROPN
bracis-33597	124	41	)	)	PUNCT
bracis-33597	125	1	=	=	SYM
bracis-33597	125	2	\	\	NOUN
bracis-33597	125	3	{	{	PUNCT
bracis-33597	125	4	c	c	PROPN
bracis-33597	125	5	\leftarrow	\leftarrow	PROPN
bracis-33597	125	6	\mathtt	\mathtt	PROPN
bracis-33597	125	7	{	{	PUNCT
bracis-33597	125	8	not\	not\	PROPN
bracis-33597	125	9	}	}	PUNCT
bracis-33597	125	10	b_1	b_1	PROPN
bracis-33597	125	11	,	,	PUNCT
bracis-33597	125	12	\ldots	\ldots	PROPN
bracis-33597	125	13	,	,	PUNCT
bracis-33597	125	14	\mathtt	\mathtt	PROPN
bracis-33597	125	15	{	{	PUNCT
bracis-33597	125	16	not\	not\	PROPN
bracis-33597	125	17	}	}	PUNCT
bracis-33597	125	18	b_m	b_m	PROPN
bracis-33597	125	19	\}\	\}\	NOUN
bracis-33597	125	20	)	)	PUNCT
bracis-33597	125	21	,	,	PUNCT
bracis-33597	125	22	\(\texttt{vul}(a	\(\texttt{vul}(a	PROPN
bracis-33597	125	23	)	)	PUNCT
bracis-33597	125	24	=	=	SYM
bracis-33597	125	25	\	\	PROPN
bracis-33597	125	26	{	{	PUNCT
bracis-33597	125	27	b_1	b_1	PROPN
bracis-33597	125	28	,	,	PUNCT
bracis-33597	125	29	\ldots	\ldots	PROPN
bracis-33597	125	30	,	,	PUNCT
bracis-33597	125	31	b_m	b_m	X
bracis-33597	125	32	\}\	\}\	NOUN
bracis-33597	125	33	)	)	PUNCT
bracis-33597	125	34	,	,	PUNCT
bracis-33597	125	35	and	and	CCONJ
bracis-33597	125	36	\(\texttt{sub}(a	\(\texttt{sub}(a	VERB
bracis-33597	125	37	)	)	PUNCT
bracis-33597	125	38	=	=	SYM
bracis-33597	125	39	\	\	NOUN
bracis-33597	125	40	{	{	PUNCT
bracis-33597	125	41	a	a	DET
bracis-33597	125	42	\}\	\}\	NOUN
bracis-33597	125	43	)	)	PUNCT
bracis-33597	125	44	.	.	PUNCT
bracis-33597	126	1	if	if	SCONJ
bracis-33597	126	2	\(c	\(c	NOUN
bracis-33597	126	3	\leftarrow	\leftarrow	NOUN
bracis-33597	126	4	a_1,\ldots	a_1,\ldot	NOUN
bracis-33597	126	5	,	,	PUNCT
bracis-33597	126	6	a_n	a_n	PROPN
bracis-33597	126	7	,	,	PUNCT
bracis-33597	126	8	\mathtt	\mathtt	PROPN
bracis-33597	126	9	{	{	PUNCT
bracis-33597	126	10	not\	not\	PROPN
bracis-33597	126	11	}	}	PUNCT
bracis-33597	126	12	b_1,\ldots	b_1,\ldot	NOUN
bracis-33597	126	13	,	,	PUNCT
bracis-33597	126	14	\mathtt	\mathtt	PROPN
bracis-33597	126	15	{	{	PUNCT
bracis-33597	126	16	not\	not\	PROPN
bracis-33597	126	17	}	}	PUNCT
bracis-33597	126	18	b_m\	b_m\	PROPN
bracis-33597	126	19	)	)	PUNCT
bracis-33597	126	20	is	be	AUX
bracis-33597	126	21	a	a	DET
bracis-33597	126	22	rule	rule	NOUN
bracis-33597	126	23	(	(	PUNCT
bracis-33597	126	24	say	say	VERB
bracis-33597	126	25	r	r	NOUN
bracis-33597	126	26	)	)	PUNCT
bracis-33597	126	27	in	in	ADP
bracis-33597	126	28	p	p	NOUN
bracis-33597	126	29	and	and	CCONJ
bracis-33597	126	30	for	for	ADP
bracis-33597	126	31	each	each	DET
bracis-33597	126	32	\(a_i\	\(a_i\	NOUN
bracis-33597	126	33	)	)	PUNCT
bracis-33597	126	34	(	(	PUNCT
bracis-33597	126	35	\(1	\(1	PROPN
bracis-33597	126	36	\le	\le	PROPN
bracis-33597	126	37	i	i	NOUN
bracis-33597	126	38	\le	\le	NOUN
bracis-33597	126	39	n\	n\	NOUN
bracis-33597	126	40	)	)	PUNCT
bracis-33597	126	41	)	)	PUNCT
bracis-33597	127	1	there	there	PRON
bracis-33597	127	2	exists	exist	VERB
bracis-33597	127	3	an	an	DET
bracis-33597	127	4	argument	argument	NOUN
bracis-33597	127	5	\(a_i\	\(a_i\	NOUN
bracis-33597	127	6	)	)	PUNCT
bracis-33597	127	7	with	with	ADP
bracis-33597	127	8	\(\texttt{conc}(a_i	\(\texttt{conc}(a_i	NOUN
bracis-33597	127	9	)	)	PUNCT
bracis-33597	127	10	=	=	SYM
bracis-33597	127	11	a_i\	a_i\	X
bracis-33597	127	12	)	)	PUNCT
bracis-33597	127	13	and	and	CCONJ
bracis-33597	127	14	\(r	\(r	NOUN
bracis-33597	127	15	\notin	\notin	ADP
bracis-33597	127	16	\texttt{rules}(a_i)\	\texttt{rules}(a_i)\	NOUN
bracis-33597	127	17	)	)	PUNCT
bracis-33597	127	18	,	,	PUNCT
bracis-33597	127	19	then	then	ADV
bracis-33597	127	20	r	r	NOUN
bracis-33597	127	21	derives	derive	VERB
bracis-33597	127	22	the	the	DET
bracis-33597	127	23	argument	argument	NOUN
bracis-33597	127	24	\(c	\(c	PROPN
bracis-33597	127	25	\leftarrow	\leftarrow	PROPN
bracis-33597	127	26	(	(	PUNCT
bracis-33597	127	27	a_1),\ldots	a_1),\ldot	NOUN
bracis-33597	127	28	,	,	PUNCT
bracis-33597	127	29	(	(	PUNCT
bracis-33597	127	30	a_n),\	a_n),\	NOUN
bracis-33597	127	31	)	)	PUNCT
bracis-33597	127	32	\(\mathtt	\(\mathtt	VERB
bracis-33597	127	33	{	{	PUNCT
bracis-33597	127	34	not\	not\	NOUN
bracis-33597	127	35	}	}	PUNCT
bracis-33597	127	36	b_1,\ldots	b_1,\ldot	NOUN
bracis-33597	127	37	,	,	PUNCT
bracis-33597	127	38	\	\	ADJ
bracis-33597	127	39	)	)	PUNCT
bracis-33597	127	40	\(\mathtt	\(\mathtt	VERB
bracis-33597	127	41	{	{	PUNCT
bracis-33597	127	42	not\	not\	PROPN
bracis-33597	127	43	}	}	PUNCT
bracis-33597	127	44	b_m\	b_m\	PROPN
bracis-33597	127	45	)	)	PUNCT
bracis-33597	127	46	(	(	PUNCT
bracis-33597	127	47	say	say	VERB
bracis-33597	127	48	a	a	PRON
bracis-33597	127	49	)	)	PUNCT
bracis-33597	127	50	with	with	ADP
bracis-33597	127	51	\(\texttt{conc}(a	\(\texttt{conc}(a	NUM
bracis-33597	127	52	)	)	PUNCT
bracis-33597	127	53	=	=	SYM
bracis-33597	127	54	c\	c\	NOUN
bracis-33597	127	55	)	)	PUNCT
bracis-33597	127	56	,	,	PUNCT
bracis-33597	127	57	\(\texttt{rules}(a	\(\texttt{rules}(a	PROPN
bracis-33597	127	58	)	)	PUNCT
bracis-33597	127	59	=	=	SYM
bracis-33597	128	1	\bigcup	\bigcup	PROPN
bracis-33597	128	2	_	_	PRON
bracis-33597	128	3	{	{	PUNCT
bracis-33597	128	4	i=1}^n\texttt{rules}(a_i	i=1}^n\texttt{rules}(a_i	NOUN
bracis-33597	128	5	)	)	PUNCT
bracis-33597	128	6	\cup	\cup	VERB
bracis-33597	128	7	\	\	NOUN
bracis-33597	128	8	{	{	PUNCT
bracis-33597	128	9	r	r	NOUN
bracis-33597	128	10	\}\	\}\	NOUN
bracis-33597	128	11	)	)	PUNCT
bracis-33597	128	12	,	,	PUNCT
bracis-33597	128	13	\(\texttt{vul}(a	\(\texttt{vul}(a	PROPN
bracis-33597	128	14	)	)	PUNCT
bracis-33597	128	15	=	=	PUNCT
bracis-33597	129	1	\bigcup	\bigcup	VERB
bracis-33597	129	2	_	_	PRON
bracis-33597	129	3	{	{	PUNCT
bracis-33597	129	4	i=1}^n\texttt{vul}(a_i	i=1}^n\texttt{vul}(a_i	NOUN
bracis-33597	129	5	)	)	PUNCT
bracis-33597	129	6	\cup	\cup	VERB
bracis-33597	129	7	\{b_1	\{b_1	NOUN
bracis-33597	129	8	,	,	PUNCT
bracis-33597	129	9	\ldots	\ldots	PROPN
bracis-33597	129	10	,	,	PUNCT
bracis-33597	129	11	b_m\}\	b_m\}\	NOUN
bracis-33597	129	12	)	)	PUNCT
bracis-33597	129	13	,	,	PUNCT
bracis-33597	129	14	and	and	CCONJ
bracis-33597	129	15	\(\texttt{sub}(a	\(\texttt{sub}(a	VERB
bracis-33597	129	16	)	)	PUNCT
bracis-33597	129	17	=	=	SYM
bracis-33597	129	18	\	\	NOUN
bracis-33597	129	19	{	{	PUNCT
bracis-33597	129	20	a	a	PRON
bracis-33597	129	21	\	\	NOUN
bracis-33597	129	22	}	}	PUNCT
bracis-33597	129	23	\cup	\cup	VERB
bracis-33597	129	24	\bigcup	\bigcup	PROPN
bracis-33597	129	25	_	_	PROPN
bracis-33597	129	26	{	{	PUNCT
bracis-33597	129	27	i=1}^n\texttt{sub}(a_i)\	i=1}^n\texttt{sub}(a_i)\	X
bracis-33597	129	28	)	)	PUNCT
bracis-33597	129	29	.	.	PUNCT
bracis-33597	130	1	for	for	ADP
bracis-33597	130	2	any	any	DET
bracis-33597	130	3	argument	argument	NOUN
bracis-33597	130	4	a	a	X
bracis-33597	130	5	,	,	PUNCT
bracis-33597	130	6	we	we	PRON
bracis-33597	130	7	say	say	VERB
bracis-33597	130	8	\(\texttt{conc}(a)\	\(\texttt{conc}(a)\	X
bracis-33597	130	9	)	)	PUNCT
bracis-33597	130	10	is	be	AUX
bracis-33597	130	11	its	its	PRON
bracis-33597	130	12	conclusion	conclusion	NOUN
bracis-33597	130	13	;	;	PUNCT
bracis-33597	130	14	\(\texttt{rules}(a)\	\(\texttt{rules}(a)\	NUM
bracis-33597	130	15	)	)	PUNCT
bracis-33597	130	16	,	,	PUNCT
bracis-33597	130	17	its	its	PRON
bracis-33597	130	18	set	set	NOUN
bracis-33597	130	19	of	of	ADP
bracis-33597	130	20	rules	rule	NOUN
bracis-33597	130	21	;	;	PUNCT
bracis-33597	130	22	\(\texttt{vul}(a)\	\(\texttt{vul}(a)\	PROPN
bracis-33597	130	23	)	)	PUNCT
bracis-33597	130	24	,	,	PUNCT
bracis-33597	130	25	its	its	PRON
bracis-33597	130	26	set	set	NOUN
bracis-33597	130	27	of	of	ADP
bracis-33597	130	28	vulnerabilities	vulnerability	NOUN
bracis-33597	130	29	;	;	PUNCT
bracis-33597	130	30	and	and	CCONJ
bracis-33597	130	31	\(\texttt{sub}(a)\	\(\texttt{sub}(a)\	PROPN
bracis-33597	130	32	)	)	PUNCT
bracis-33597	130	33	,	,	PUNCT
bracis-33597	130	34	its	its	PRON
bracis-33597	130	35	set	set	NOUN
bracis-33597	130	36	of	of	ADP
bracis-33597	130	37	subarguments	subargument	NOUN
bracis-33597	130	38	.	.	PUNCT
bracis-33597	131	1	we	we	PRON
bracis-33597	131	2	can	can	AUX
bracis-33597	131	3	intuitively	intuitively	ADV
bracis-33597	131	4	see	see	VERB
bracis-33597	131	5	an	an	DET
bracis-33597	131	6	argument	argument	NOUN
bracis-33597	131	7	as	as	ADP
bracis-33597	131	8	a	a	DET
bracis-33597	131	9	tree	tree	NOUN
bracis-33597	131	10	-	-	PUNCT
bracis-33597	131	11	like	like	ADJ
bracis-33597	131	12	structure	structure	NOUN
bracis-33597	131	13	representing	represent	VERB
bracis-33597	131	14	a	a	DET
bracis-33597	131	15	possible	possible	ADJ
bracis-33597	131	16	derivation	derivation	NOUN
bracis-33597	131	17	of	of	ADP
bracis-33597	131	18	an	an	DET
bracis-33597	131	19	atom	atom	NOUN
bracis-33597	131	20	from	from	ADP
bracis-33597	131	21	the	the	DET
bracis-33597	131	22	rules	rule	NOUN
bracis-33597	131	23	of	of	ADP
bracis-33597	131	24	a	a	DET
bracis-33597	131	25	program	program	NOUN
bracis-33597	131	26	.	.	PUNCT
bracis-33597	132	1	example	example	NOUN
bracis-33597	132	2	3	3	NUM
bracis-33597	132	3	consider	consider	VERB
bracis-33597	132	4	the	the	DET
bracis-33597	132	5	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	132	6	)	)	PUNCT
bracis-33597	132	7	p	p	NOUN
bracis-33597	132	8	below	below	ADV
bracis-33597	132	9	with	with	ADP
bracis-33597	132	10	rules	rule	NOUN
bracis-33597	132	11	\(\left\	\(\left\	PROPN
bracis-33597	132	12	{	{	PUNCT
bracis-33597	132	13	r_1	r_1	NOUN
bracis-33597	132	14	,	,	PUNCT
bracis-33597	132	15	\ldots	\ldots	INTJ
bracis-33597	132	16	,	,	PUNCT
bracis-33597	132	17	r_8\right\	r_8\right\	PROPN
bracis-33597	132	18	}	}	PUNCT
bracis-33597	132	19	\	\	NOUN
bracis-33597	132	20	):	):	PUNCT
bracis-33597	132	21	$	$	SYM
bracis-33597	132	22	$	$	SYM
bracis-33597	132	23	\begin{array}{lclclcl	\begin{array}{lclclcl	NOUN
bracis-33597	132	24	}	}	PUNCT
bracis-33597	132	25	r_1	r_1	NOUN
bracis-33597	132	26	:	:	PUNCT
bracis-33597	132	27	a	a	PROPN
bracis-33597	132	28	&	&	CCONJ
bracis-33597	132	29	&	&	CCONJ
bracis-33597	132	30	r_2	r_2	PROPN
bracis-33597	132	31	:	:	PUNCT
bracis-33597	132	32	b	b	X
bracis-33597	132	33	\leftarrow	\leftarrow	VERB
bracis-33597	132	34	a	a	PRON
bracis-33597	132	35	&	&	CCONJ
bracis-33597	132	36	&	&	CCONJ
bracis-33597	132	37	r_3	r_3	PROPN
bracis-33597	132	38	:	:	PUNCT
bracis-33597	132	39	c	c	AUX
bracis-33597	132	40	\leftarrow	\leftarrow	VERB
bracis-33597	132	41	\mathtt	\mathtt	PROPN
bracis-33597	132	42	{	{	PUNCT
bracis-33597	132	43	not\	not\	PROPN
bracis-33597	132	44	}	}	PUNCT
bracis-33597	132	45	c	c	PROPN
bracis-33597	132	46	&	&	CCONJ
bracis-33597	132	47	&	&	CCONJ
bracis-33597	132	48	r_7	r_7	PROPN
bracis-33597	132	49	:	:	PUNCT
bracis-33597	132	50	c	c	PROPN
bracis-33597	132	51	\leftarrow	\leftarrow	PROPN
bracis-33597	132	52	f	f	X
bracis-33597	132	53	,	,	PUNCT
bracis-33597	132	54	\mathtt	\mathtt	PROPN
bracis-33597	132	55	{	{	PUNCT
bracis-33597	132	56	not\	not\	PROPN
bracis-33597	132	57	}	}	PUNCT
bracis-33597	132	58	g	g	PROPN
bracis-33597	132	59	\\	\\	NOUN
bracis-33597	132	60	r_4	r_4	VERB
bracis-33597	132	61	:	:	PUNCT
bracis-33597	132	62	d	d	X
bracis-33597	132	63	\leftarrow	\leftarrow	PROPN
bracis-33597	132	64	b	b	NOUN
bracis-33597	132	65	,	,	PUNCT
bracis-33597	132	66	\mathtt	\mathtt	PROPN
bracis-33597	132	67	{	{	PUNCT
bracis-33597	132	68	not\	not\	PROPN
bracis-33597	132	69	}	}	PUNCT
bracis-33597	132	70	a	a	PROPN
bracis-33597	132	71	&	&	CCONJ
bracis-33597	132	72	&	&	CCONJ
bracis-33597	132	73	r_5	r_5	PROPN
bracis-33597	132	74	:	:	PUNCT
bracis-33597	132	75	d	d	PART
bracis-33597	132	76	\leftarrow	\leftarrow	VERB
bracis-33597	132	77	\mathtt	\mathtt	PROPN
bracis-33597	132	78	{	{	PUNCT
bracis-33597	132	79	not\	not\	PROPN
bracis-33597	132	80	}	}	PUNCT
bracis-33597	132	81	c	c	PROPN
bracis-33597	132	82	&	&	CCONJ
bracis-33597	132	83	&	&	CCONJ
bracis-33597	132	84	r_6	r_6	PROPN
bracis-33597	132	85	:	:	PUNCT
bracis-33597	132	86	e	e	X
bracis-33597	132	87	\leftarrow	\leftarrow	PROPN
bracis-33597	132	88	b	b	PROPN
bracis-33597	132	89	,	,	PUNCT
bracis-33597	132	90	c	c	PROPN
bracis-33597	132	91	,	,	PUNCT
bracis-33597	132	92	\mathtt	\mathtt	PROPN
bracis-33597	132	93	{	{	PUNCT
bracis-33597	132	94	not\	not\	PROPN
bracis-33597	132	95	}	}	PUNCT
bracis-33597	132	96	e	e	PROPN
bracis-33597	132	97	&	&	CCONJ
bracis-33597	132	98	&	&	CCONJ
bracis-33597	132	99	r_8	r_8	PROPN
bracis-33597	132	100	:	:	PUNCT
bracis-33597	132	101	f	f	PROPN
bracis-33597	132	102	\leftarrow	\leftarrow	PROPN
bracis-33597	132	103	c	c	PROPN
bracis-33597	132	104	,	,	PUNCT
bracis-33597	132	105	g	g	PROPN
bracis-33597	132	106	\\	\\	NOUN
bracis-33597	132	107	\end{array	\end{array	ADJ
bracis-33597	132	108	}	}	PUNCT
bracis-33597	132	109	$	$	SYM
bracis-33597	132	110	$	$	NUM
bracis-33597	132	111	according	accord	VERB
bracis-33597	132	112	to	to	ADP
bracis-33597	132	113	definition	definition	NOUN
bracis-33597	132	114	8	8	NUM
bracis-33597	132	115	,	,	PUNCT
bracis-33597	132	116	we	we	PRON
bracis-33597	132	117	can	can	AUX
bracis-33597	132	118	construct	construct	VERB
bracis-33597	132	119	the	the	DET
bracis-33597	132	120	following	following	ADJ
bracis-33597	132	121	statements	statement	NOUN
bracis-33597	132	122	from	from	ADP
bracis-33597	132	123	p	p	X
bracis-33597	132	124	:	:	PUNCT
bracis-33597	132	125	$	$	SYM
bracis-33597	132	126	$	$	SYM
bracis-33597	132	127	\begin{array}{llcllcll	\begin{array}{llcllcll	NOUN
bracis-33597	132	128	}	}	PUNCT
bracis-33597	132	129	a_1	a_1	NOUN
bracis-33597	132	130	:	:	PUNCT
bracis-33597	132	131	&	&	CCONJ
bracis-33597	133	1	a	a	DET
bracis-33597	133	2	&	&	CCONJ
bracis-33597	133	3	&	&	CCONJ
bracis-33597	133	4	a_2	a_2	PROPN
bracis-33597	133	5	:	:	PUNCT
bracis-33597	133	6	&	&	CCONJ
bracis-33597	133	7	b	b	PROPN
bracis-33597	133	8	\leftarrow	\leftarrow	PROPN
bracis-33597	133	9	(	(	PUNCT
bracis-33597	133	10	a_1	a_1	NOUN
bracis-33597	133	11	)	)	PUNCT
bracis-33597	133	12	&	&	CCONJ
bracis-33597	133	13	&	&	CCONJ
bracis-33597	133	14	a_3	a_3	PROPN
bracis-33597	133	15	:	:	PUNCT
bracis-33597	133	16	&	&	CCONJ
bracis-33597	133	17	c	c	PROPN
bracis-33597	133	18	\leftarrow	\leftarrow	PROPN
bracis-33597	133	19	\texttt{not}\	\texttt{not}\	NOUN
bracis-33597	133	20	;	;	PUNCT
bracis-33597	133	21	c\\	c\\	PROPN
bracis-33597	133	22	a_4	a_4	PROPN
bracis-33597	133	23	:	:	PUNCT
bracis-33597	133	24	&	&	CCONJ
bracis-33597	133	25	d	d	PROPN
bracis-33597	133	26	\leftarrow	\leftarrow	PROPN
bracis-33597	133	27	(	(	PUNCT
bracis-33597	133	28	a_2	a_2	PROPN
bracis-33597	133	29	)	)	PUNCT
bracis-33597	133	30	,	,	PUNCT
bracis-33597	133	31	\texttt{not}\	\texttt{not}\	NUM
bracis-33597	133	32	;	;	PUNCT
bracis-33597	133	33	a	a	PRON
bracis-33597	133	34	&	&	CCONJ
bracis-33597	133	35	&	&	CCONJ
bracis-33597	133	36	a_5	a_5	PROPN
bracis-33597	133	37	:	:	PUNCT
bracis-33597	133	38	&	&	CCONJ
bracis-33597	133	39	d	d	PROPN
bracis-33597	133	40	\leftarrow	\leftarrow	PROPN
bracis-33597	133	41	\texttt{not}\	\texttt{not}\	NOUN
bracis-33597	133	42	;	;	PUNCT
bracis-33597	133	43	c	c	PROPN
bracis-33597	133	44	&	&	CCONJ
bracis-33597	133	45	&	&	CCONJ
bracis-33597	133	46	a_6	a_6	PROPN
bracis-33597	133	47	:	:	PUNCT
bracis-33597	133	48	&	&	CCONJ
bracis-33597	133	49	e	e	PROPN
bracis-33597	133	50	\leftarrow	\leftarrow	PROPN
bracis-33597	133	51	(	(	PUNCT
bracis-33597	133	52	a_2	a_2	PROPN
bracis-33597	133	53	)	)	PUNCT
bracis-33597	133	54	,	,	PUNCT
bracis-33597	133	55	(	(	PUNCT
bracis-33597	133	56	a_3),\texttt{not}\	a_3),\texttt{not}\	PROPN
bracis-33597	133	57	;	;	PUNCT
bracis-33597	133	58	e	e	X
bracis-33597	133	59	\end{array	\end{array	ADV
bracis-33597	133	60	}	}	PUNCT
bracis-33597	133	61	$	$	SYM
bracis-33597	133	62	$	$	SYM
bracis-33597	133	63	next	next	ADV
bracis-33597	133	64	,	,	PUNCT
bracis-33597	133	65	we	we	PRON
bracis-33597	133	66	give	give	VERB
bracis-33597	133	67	the	the	DET
bracis-33597	133	68	conclusions	conclusion	NOUN
bracis-33597	133	69	and	and	CCONJ
bracis-33597	133	70	vulnerabilities	vulnerability	NOUN
bracis-33597	133	71	of	of	ADP
bracis-33597	133	72	each	each	DET
bracis-33597	133	73	argument	argument	NOUN
bracis-33597	133	74	:	:	PUNCT
bracis-33597	133	75	the	the	DET
bracis-33597	133	76	vulnerabilities	vulnerability	NOUN
bracis-33597	133	77	of	of	ADP
bracis-33597	133	78	an	an	DET
bracis-33597	133	79	argument	argument	NOUN
bracis-33597	133	80	a	a	PRON
bracis-33597	133	81	are	be	AUX
bracis-33597	133	82	associated	associate	VERB
bracis-33597	133	83	with	with	ADP
bracis-33597	133	84	the	the	DET
bracis-33597	133	85	negative	negative	ADJ
bracis-33597	133	86	literals	literal	NOUN
bracis-33597	133	87	found	find	VERB
bracis-33597	133	88	in	in	ADP
bracis-33597	133	89	the	the	DET
bracis-33597	133	90	derivation	derivation	NOUN
bracis-33597	133	91	of	of	ADP
bracis-33597	133	92	a.	a.	NOUN
bracis-33597	133	93	if	if	SCONJ
bracis-33597	133	94	\(\texttt{not}\	\(\texttt{not}\	NOUN
bracis-33597	133	95	;	;	PUNCT
bracis-33597	133	96	b\	b\	PRON
bracis-33597	133	97	)	)	PUNCT
bracis-33597	133	98	is	be	AUX
bracis-33597	133	99	one	one	NUM
bracis-33597	133	100	of	of	ADP
bracis-33597	133	101	them	they	PRON
bracis-33597	133	102	,	,	PUNCT
bracis-33597	133	103	then	then	ADV
bracis-33597	133	104	b	b	PROPN
bracis-33597	133	105	is	be	AUX
bracis-33597	133	106	a	a	DET
bracis-33597	133	107	vulnerability	vulnerability	NOUN
bracis-33597	133	108	of	of	ADP
bracis-33597	133	109	a.	a.	NOUN
bracis-33597	133	110	this	this	PRON
bracis-33597	133	111	means	mean	VERB
bracis-33597	133	112	that	that	SCONJ
bracis-33597	133	113	if	if	SCONJ
bracis-33597	133	114	b	b	NOUN
bracis-33597	133	115	is	be	AUX
bracis-33597	133	116	derived	derive	VERB
bracis-33597	133	117	,	,	PUNCT
bracis-33597	133	118	then	then	ADV
bracis-33597	133	119	\(\texttt{conc}(a)\	\(\texttt{conc}(a)\	NUM
bracis-33597	133	120	)	)	PUNCT
bracis-33597	133	121	can	can	AUX
bracis-33597	133	122	not	not	PART
bracis-33597	133	123	be	be	AUX
bracis-33597	133	124	obtained	obtain	VERB
bracis-33597	133	125	via	via	ADP
bracis-33597	133	126	the	the	DET
bracis-33597	133	127	derivation	derivation	NOUN
bracis-33597	133	128	represented	represent	VERB
bracis-33597	133	129	by	by	ADP
bracis-33597	133	130	a.	a.	NOUN
bracis-33597	133	131	however	however	ADV
bracis-33597	133	132	,	,	PUNCT
bracis-33597	133	133	it	it	PRON
bracis-33597	133	134	can	can	AUX
bracis-33597	133	135	still	still	ADV
bracis-33597	133	136	be	be	AUX
bracis-33597	133	137	obtained	obtain	VERB
bracis-33597	133	138	via	via	ADP
bracis-33597	133	139	other	other	ADJ
bracis-33597	133	140	derivations	derivation	NOUN
bracis-33597	133	141	/	/	SYM
bracis-33597	133	142	arguments	argument	NOUN
bracis-33597	133	143	.	.	PUNCT
bracis-33597	134	1	for	for	ADP
bracis-33597	134	2	instance	instance	NOUN
bracis-33597	134	3	,	,	PUNCT
bracis-33597	134	4	in	in	ADP
bracis-33597	134	5	the	the	DET
bracis-33597	134	6	program	program	NOUN
bracis-33597	134	7	p	p	NOUN
bracis-33597	134	8	of	of	ADP
bracis-33597	134	9	example	example	NOUN
bracis-33597	134	10	3	3	NUM
bracis-33597	134	11	,	,	PUNCT
bracis-33597	134	12	the	the	DET
bracis-33597	134	13	derivation	derivation	NOUN
bracis-33597	134	14	of	of	ADP
bracis-33597	134	15	a	a	DET
bracis-33597	134	16	suffices	suffice	NOUN
bracis-33597	134	17	to	to	PART
bracis-33597	134	18	prevent	prevent	VERB
bracis-33597	134	19	the	the	DET
bracis-33597	134	20	derivation	derivation	NOUN
bracis-33597	134	21	of	of	ADP
bracis-33597	134	22	d	d	PROPN
bracis-33597	134	23	via	via	ADP
bracis-33597	134	24	argument	argument	NOUN
bracis-33597	134	25	\(a_4\	\(a_4\	PROPN
bracis-33597	134	26	)	)	PUNCT
bracis-33597	134	27	(	(	PUNCT
bracis-33597	134	28	for	for	ADP
bracis-33597	134	29	that	that	DET
bracis-33597	134	30	reason	reason	NOUN
bracis-33597	134	31	,	,	PUNCT
bracis-33597	134	32	\(a	\(a	NOUN
bracis-33597	134	33	\in	\in	PROPN
bracis-33597	134	34	\texttt{vul}(a_4)\	\texttt{vul}(a_4)\	PROPN
bracis-33597	134	35	)	)	PUNCT
bracis-33597	134	36	)	)	PUNCT
bracis-33597	134	37	,	,	PUNCT
bracis-33597	134	38	but	but	CCONJ
bracis-33597	134	39	we	we	PRON
bracis-33597	134	40	still	still	ADV
bracis-33597	134	41	can	can	AUX
bracis-33597	134	42	derive	derive	VERB
bracis-33597	134	43	d	d	PROPN
bracis-33597	134	44	via	via	ADP
bracis-33597	134	45	\(a_5\	\(a_5\	NOUN
bracis-33597	134	46	)	)	PUNCT
bracis-33597	134	47	.	.	PUNCT
bracis-33597	135	1	notice	notice	VERB
bracis-33597	135	2	also	also	ADV
bracis-33597	135	3	that	that	SCONJ
bracis-33597	135	4	there	there	PRON
bracis-33597	135	5	are	be	VERB
bracis-33597	135	6	no	no	DET
bracis-33597	135	7	arguments	argument	NOUN
bracis-33597	135	8	with	with	ADP
bracis-33597	135	9	conclusions	conclusion	NOUN
bracis-33597	135	10	f	f	PROPN
bracis-33597	135	11	and	and	CCONJ
bracis-33597	135	12	g.	g.	PROPN
bracis-33597	136	1	now	now	ADV
bracis-33597	136	2	we	we	PRON
bracis-33597	136	3	are	be	AUX
bracis-33597	136	4	entitled	entitle	VERB
bracis-33597	136	5	to	to	PART
bracis-33597	136	6	determine	determine	VERB
bracis-33597	136	7	both	both	DET
bracis-33597	136	8	the	the	DET
bracis-33597	136	9	attack	attack	NOUN
bracis-33597	136	10	and	and	CCONJ
bracis-33597	136	11	support	support	NOUN
bracis-33597	136	12	relations	relation	NOUN
bracis-33597	136	13	:	:	PUNCT
bracis-33597	136	14	definition	definition	NOUN
bracis-33597	136	15	9	9	NUM
bracis-33597	136	16	let	let	VERB
bracis-33597	136	17	p	p	PRON
bracis-33597	136	18	be	be	AUX
bracis-33597	136	19	an	an	DET
bracis-33597	136	20	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	136	21	)	)	PUNCT
bracis-33597	136	22	and	and	CCONJ
bracis-33597	136	23	let	let	VERB
bracis-33597	136	24	a	a	PRON
bracis-33597	136	25	and	and	CCONJ
bracis-33597	136	26	b	b	NOUN
bracis-33597	136	27	be	be	AUX
bracis-33597	136	28	arguments	argument	NOUN
bracis-33597	136	29	in	in	ADP
bracis-33597	136	30	the	the	DET
bracis-33597	136	31	sense	sense	NOUN
bracis-33597	136	32	of	of	ADP
bracis-33597	136	33	definition	definition	NOUN
bracis-33597	136	34	8	8	NUM
bracis-33597	136	35	.	.	PUNCT
bracis-33597	137	1	we	we	PRON
bracis-33597	137	2	define	define	VERB
bracis-33597	137	3	the	the	DET
bracis-33597	137	4	attack	attack	NOUN
bracis-33597	137	5	relation	relation	NOUN
bracis-33597	137	6	\	\	PROPN
bracis-33597	137	7	(	(	PUNCT
bracis-33597	137	8	att	att	PROPN
bracis-33597	137	9	_	_	PUNCT
bracis-33597	137	10	p\	p\	NOUN
bracis-33597	137	11	)	)	PUNCT
bracis-33597	137	12	and	and	CCONJ
bracis-33597	137	13	the	the	DET
bracis-33597	137	14	support	support	NOUN
bracis-33597	137	15	relation	relation	NOUN
bracis-33597	137	16	\	\	PROPN
bracis-33597	137	17	(	(	PUNCT
bracis-33597	137	18	sup	sup	NOUN
bracis-33597	137	19	_	_	PUNCT
bracis-33597	137	20	p\	p\	NOUN
bracis-33597	137	21	)	)	PUNCT
bracis-33597	137	22	as	as	SCONJ
bracis-33597	137	23	follows	follow	VERB
bracis-33597	137	24	:	:	PUNCT
bracis-33597	137	25	\((a	\((a	NOUN
bracis-33597	137	26	,	,	PUNCT
bracis-33597	137	27	b	b	NOUN
bracis-33597	137	28	)	)	PUNCT
bracis-33597	137	29	\in	\in	PROPN
bracis-33597	137	30	att	att	PROPN
bracis-33597	137	31	_	_	PUNCT
bracis-33597	137	32	p\	p\	NOUN
bracis-33597	137	33	)	)	PUNCT
bracis-33597	137	34	iff	iff	PROPN
bracis-33597	137	35	\(\texttt{conc}(a	\(\texttt{conc}(a	NUM
bracis-33597	137	36	)	)	PUNCT
bracis-33597	137	37	\in	\in	PROPN
bracis-33597	137	38	\texttt{vul}(b)\	\texttt{vul}(b)\	PROPN
bracis-33597	137	39	)	)	PUNCT
bracis-33597	137	40	;	;	PUNCT
bracis-33597	137	41	\((a	\((a	PROPN
bracis-33597	137	42	,	,	PUNCT
bracis-33597	137	43	b	b	NOUN
bracis-33597	137	44	)	)	PUNCT
bracis-33597	137	45	\in	\in	ADJ
bracis-33597	137	46	sup	sup	NOUN
bracis-33597	137	47	_	_	NOUN
bracis-33597	137	48	p\	p\	NOUN
bracis-33597	137	49	)	)	PUNCT
bracis-33597	137	50	iff	iff	PROPN
bracis-33597	137	51	\(a	\(a	NOUN
bracis-33597	137	52	\ne	\ne	PROPN
bracis-33597	137	53	b\	b\	NOUN
bracis-33597	137	54	)	)	PUNCT
bracis-33597	137	55	and	and	CCONJ
bracis-33597	137	56	\(\texttt{conc}(a	\(\texttt{conc}(a	NUM
bracis-33597	137	57	)	)	PUNCT
bracis-33597	137	58	=	=	SYM
bracis-33597	137	59	\texttt{conc}(b)\	\texttt{conc}(b)\	PROPN
bracis-33597	137	60	)	)	PUNCT
bracis-33597	137	61	.	.	PUNCT
bracis-33597	138	1	our	our	PRON
bracis-33597	138	2	definition	definition	NOUN
bracis-33597	138	3	of	of	ADP
bracis-33597	138	4	the	the	DET
bracis-33597	138	5	set	set	NOUN
bracis-33597	138	6	\	\	PROPN
bracis-33597	138	7	(	(	PUNCT
bracis-33597	138	8	att	att	PROPN
bracis-33597	138	9	_	_	PUNCT
bracis-33597	138	10	p\	p\	NOUN
bracis-33597	138	11	)	)	PUNCT
bracis-33597	138	12	of	of	ADP
bracis-33597	138	13	attacks	attack	NOUN
bracis-33597	138	14	obtained	obtain	VERB
bracis-33597	138	15	from	from	ADP
bracis-33597	138	16	an	an	DET
bracis-33597	138	17	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	138	18	)	)	PUNCT
bracis-33597	138	19	p	p	NOUN
bracis-33597	138	20	is	be	AUX
bracis-33597	138	21	exactly	exactly	ADV
bracis-33597	138	22	as	as	SCONJ
bracis-33597	138	23	it	it	PRON
bracis-33597	138	24	has	have	AUX
bracis-33597	138	25	been	be	AUX
bracis-33597	138	26	characterised	characterise	VERB
bracis-33597	138	27	in	in	ADP
bracis-33597	138	28	[	[	PUNCT
bracis-33597	138	29	7	7	NUM
bracis-33597	138	30	]	]	PUNCT
bracis-33597	138	31	.	.	PUNCT
bracis-33597	139	1	the	the	DET
bracis-33597	139	2	novelty	novelty	NOUN
bracis-33597	139	3	here	here	ADV
bracis-33597	139	4	is	be	AUX
bracis-33597	139	5	the	the	DET
bracis-33597	139	6	definition	definition	NOUN
bracis-33597	139	7	of	of	ADP
bracis-33597	139	8	\	\	PROPN
bracis-33597	139	9	(	(	PUNCT
bracis-33597	139	10	sup	sup	NOUN
bracis-33597	139	11	_	_	NOUN
bracis-33597	139	12	p\	p\	NOUN
bracis-33597	139	13	)	)	PUNCT
bracis-33597	139	14	,	,	PUNCT
bracis-33597	139	15	which	which	PRON
bracis-33597	139	16	in	in	ADP
bracis-33597	139	17	our	our	PRON
bracis-33597	139	18	proposal	proposal	NOUN
bracis-33597	139	19	is	be	AUX
bracis-33597	139	20	determined	determine	VERB
bracis-33597	139	21	by	by	ADP
bracis-33597	139	22	arguments	argument	NOUN
bracis-33597	139	23	with	with	ADP
bracis-33597	139	24	the	the	DET
bracis-33597	139	25	same	same	ADJ
bracis-33597	139	26	conclusion	conclusion	NOUN
bracis-33597	139	27	(	(	PUNCT
bracis-33597	139	28	the	the	DET
bracis-33597	139	29	condition	condition	NOUN
bracis-33597	139	30	\(a	\(a	NOUN
bracis-33597	139	31	\ne	\ne	PROPN
bracis-33597	139	32	b\	b\	NOUN
bracis-33597	139	33	)	)	PUNCT
bracis-33597	139	34	is	be	AUX
bracis-33597	139	35	just	just	ADV
bracis-33597	139	36	to	to	PART
bracis-33597	139	37	avoid	avoid	VERB
bracis-33597	139	38	incorporating	incorporate	VERB
bracis-33597	139	39	the	the	DET
bracis-33597	139	40	redundant	redundant	ADJ
bracis-33597	139	41	case	case	NOUN
bracis-33597	139	42	of	of	ADP
bracis-33597	139	43	an	an	DET
bracis-33597	139	44	argument	argument	NOUN
bracis-33597	139	45	supporting	support	VERB
bracis-33597	139	46	itself	itself	PRON
bracis-33597	139	47	)	)	PUNCT
bracis-33597	139	48	.	.	PUNCT
bracis-33597	140	1	the	the	DET
bracis-33597	140	2	failure	failure	NOUN
bracis-33597	140	3	in	in	ADP
bracis-33597	140	4	guaranteeing	guarantee	VERB
bracis-33597	140	5	the	the	DET
bracis-33597	140	6	correspondence	correspondence	NOUN
bracis-33597	140	7	between	between	ADP
bracis-33597	140	8	\(\beta	\(\beta	NOUN
bracis-33597	140	9	\)-semi	\)-semi	NOUN
bracis-33597	140	10	-	-	ADJ
bracis-33597	140	11	stable	stable	ADJ
bracis-33597	140	12	and	and	CCONJ
bracis-33597	140	13	l	l	ADJ
bracis-33597	140	14	-	-	ADJ
bracis-33597	140	15	stable	stable	ADJ
bracis-33597	140	16	semantics	semantic	NOUN
bracis-33597	140	17	,	,	PUNCT
bracis-33597	140	18	as	as	SCONJ
bracis-33597	140	19	discussed	discuss	VERB
bracis-33597	140	20	in	in	ADP
bracis-33597	140	21	[	[	X
bracis-33597	140	22	7	7	NUM
bracis-33597	140	23	]	]	PUNCT
bracis-33597	140	24	,	,	PUNCT
bracis-33597	140	25	lies	lie	VERB
bracis-33597	140	26	in	in	ADP
bracis-33597	140	27	the	the	DET
bracis-33597	140	28	presence	presence	NOUN
bracis-33597	140	29	of	of	ADP
bracis-33597	140	30	arguments	argument	NOUN
bracis-33597	140	31	with	with	ADP
bracis-33597	140	32	distinct	distinct	ADJ
bracis-33597	140	33	acceptabilities	acceptability	NOUN
bracis-33597	140	34	representing	represent	VERB
bracis-33597	140	35	the	the	DET
bracis-33597	140	36	derivations	derivation	NOUN
bracis-33597	140	37	of	of	ADP
bracis-33597	140	38	the	the	DET
bracis-33597	140	39	same	same	ADJ
bracis-33597	140	40	atom	atom	NOUN
bracis-33597	140	41	.	.	PUNCT
bracis-33597	141	1	as	as	SCONJ
bracis-33597	141	2	definition	definition	NOUN
bracis-33597	141	3	9	9	NUM
bracis-33597	141	4	ensures	ensure	VERB
bracis-33597	141	5	that	that	SCONJ
bracis-33597	141	6	such	such	ADJ
bracis-33597	141	7	arguments	argument	NOUN
bracis-33597	141	8	support	support	VERB
bracis-33597	141	9	each	each	DET
bracis-33597	141	10	other	other	ADJ
bracis-33597	141	11	,	,	PUNCT
bracis-33597	141	12	they	they	PRON
bracis-33597	141	13	will	will	AUX
bracis-33597	141	14	have	have	VERB
bracis-33597	141	15	the	the	DET
bracis-33597	141	16	same	same	ADJ
bracis-33597	141	17	acceptability	acceptability	NOUN
bracis-33597	141	18	according	accord	VERB
bracis-33597	141	19	to	to	ADP
bracis-33597	141	20	the	the	DET
bracis-33597	141	21	\(\beta	\(\beta	PROPN
bracis-33597	141	22	\)-semantics	\)-semantic	NOUN
bracis-33597	141	23	[	[	X
bracis-33597	141	24	1	1	NUM
bracis-33597	141	25	]	]	PUNCT
bracis-33597	141	26	.	.	PUNCT
bracis-33597	142	1	for	for	ADP
bracis-33597	142	2	the	the	DET
bracis-33597	142	3	arguments	argument	NOUN
bracis-33597	142	4	of	of	ADP
bracis-33597	142	5	example	example	NOUN
bracis-33597	142	6	3	3	NUM
bracis-33597	142	7	,	,	PUNCT
bracis-33597	142	8	\(a_1\	\(a_1\	NOUN
bracis-33597	142	9	)	)	PUNCT
bracis-33597	142	10	attacks	attack	NOUN
bracis-33597	142	11	\(a_4\	\(a_4\	NOUN
bracis-33597	142	12	)	)	PUNCT
bracis-33597	142	13	;	;	PUNCT
bracis-33597	142	14	\(a_3\	\(a_3\	NOUN
bracis-33597	142	15	)	)	PUNCT
bracis-33597	142	16	attacks	attack	VERB
bracis-33597	142	17	itself	itself	PRON
bracis-33597	142	18	,	,	PUNCT
bracis-33597	142	19	\(a_5\	\(a_5\	PROPN
bracis-33597	142	20	)	)	PUNCT
bracis-33597	142	21	and	and	CCONJ
bracis-33597	142	22	\(a_6\	\(a_6\	PROPN
bracis-33597	142	23	)	)	PUNCT
bracis-33597	142	24	;	;	PUNCT
bracis-33597	142	25	\(a_6\	\(a_6\	PROPN
bracis-33597	142	26	)	)	PUNCT
bracis-33597	142	27	attacks	attack	VERB
bracis-33597	142	28	itself	itself	PRON
bracis-33597	142	29	.	.	PUNCT
bracis-33597	143	1	we	we	PRON
bracis-33597	143	2	also	also	ADV
bracis-33597	143	3	have	have	VERB
bracis-33597	143	4	\(a_4\	\(a_4\	NOUN
bracis-33597	143	5	)	)	PUNCT
bracis-33597	143	6	and	and	CCONJ
bracis-33597	143	7	\(a_5\	\(a_5\	PROPN
bracis-33597	143	8	)	)	PUNCT
bracis-33597	143	9	supporting	support	VERB
bracis-33597	143	10	each	each	DET
bracis-33597	143	11	other	other	ADJ
bracis-33597	143	12	.	.	PUNCT
bracis-33597	144	1	using	use	VERB
bracis-33597	144	2	the	the	DET
bracis-33597	144	3	thus	thus	ADV
bracis-33597	144	4	-	-	PUNCT
bracis-33597	144	5	defined	define	VERB
bracis-33597	144	6	concepts	concept	NOUN
bracis-33597	144	7	of	of	ADP
bracis-33597	144	8	arguments	argument	NOUN
bracis-33597	144	9	,	,	PUNCT
bracis-33597	144	10	attacks	attack	NOUN
bracis-33597	144	11	and	and	CCONJ
bracis-33597	144	12	supports	support	NOUN
bracis-33597	144	13	,	,	PUNCT
bracis-33597	144	14	one	one	PRON
bracis-33597	144	15	can	can	AUX
bracis-33597	144	16	define	define	VERB
bracis-33597	144	17	the	the	DET
bracis-33597	144	18	bipolar	bipolar	ADJ
bracis-33597	144	19	argumentation	argumentation	NOUN
bracis-33597	144	20	framework	framework	NOUN
bracis-33597	144	21	corresponding	correspond	VERB
bracis-33597	144	22	to	to	ADP
bracis-33597	144	23	a	a	DET
bracis-33597	144	24	particular	particular	ADJ
bracis-33597	144	25	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	144	26	):	):	PUNCT
bracis-33597	144	27	definition	definition	NOUN
bracis-33597	144	28	10	10	NUM
bracis-33597	144	29	let	let	VERB
bracis-33597	144	30	p	p	PRON
bracis-33597	144	31	be	be	AUX
bracis-33597	144	32	an	an	DET
bracis-33597	144	33	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	144	34	)	)	PUNCT
bracis-33597	144	35	.	.	PUNCT
bracis-33597	145	1	we	we	PRON
bracis-33597	145	2	define	define	VERB
bracis-33597	145	3	its	its	PRON
bracis-33597	145	4	corresponding	corresponding	ADJ
bracis-33597	145	5	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	145	6	)	)	PUNCT
bracis-33597	145	7	as	as	ADP
bracis-33597	145	8	\(\mathcal	\(\mathcal	ADJ
bracis-33597	145	9	{	{	PUNCT
bracis-33597	145	10	b}_p	b}_p	PROPN
bracis-33597	145	11	=	=	SYM
bracis-33597	145	12	(	(	PUNCT
bracis-33597	145	13	\mathcal	\mathcal	X
bracis-33597	145	14	{	{	PUNCT
bracis-33597	145	15	a}_p	a}_p	PROPN
bracis-33597	145	16	,	,	PUNCT
bracis-33597	145	17	att	att	PROPN
bracis-33597	145	18	_	_	PUNCT
bracis-33597	145	19	p	p	NOUN
bracis-33597	145	20	,	,	PUNCT
bracis-33597	145	21	sup	sup	NOUN
bracis-33597	145	22	_	_	NOUN
bracis-33597	145	23	p)\	p)\	NOUN
bracis-33597	145	24	)	)	PUNCT
bracis-33597	145	25	,	,	PUNCT
bracis-33597	145	26	where	where	SCONJ
bracis-33597	145	27	\(\mathcal	\(\mathcal	ADJ
bracis-33597	145	28	{	{	PUNCT
bracis-33597	145	29	a}_p\	a}_p\	NOUN
bracis-33597	145	30	)	)	PUNCT
bracis-33597	145	31	is	be	AUX
bracis-33597	145	32	the	the	DET
bracis-33597	145	33	set	set	NOUN
bracis-33597	145	34	of	of	ADP
bracis-33597	145	35	arguments	argument	NOUN
bracis-33597	145	36	in	in	ADP
bracis-33597	145	37	the	the	DET
bracis-33597	145	38	sense	sense	NOUN
bracis-33597	145	39	of	of	ADP
bracis-33597	145	40	definition	definition	NOUN
bracis-33597	145	41	8	8	NUM
bracis-33597	145	42	and	and	CCONJ
bracis-33597	145	43	\	\	PROPN
bracis-33597	145	44	(	(	PUNCT
bracis-33597	145	45	att	att	PROPN
bracis-33597	145	46	_	_	PUNCT
bracis-33597	145	47	p\	p\	X
bracis-33597	145	48	)	)	PUNCT
bracis-33597	145	49	is	be	AUX
bracis-33597	145	50	the	the	DET
bracis-33597	145	51	attack	attack	NOUN
bracis-33597	145	52	relation	relation	NOUN
bracis-33597	145	53	in	in	ADP
bracis-33597	145	54	the	the	DET
bracis-33597	145	55	sense	sense	NOUN
bracis-33597	145	56	of	of	ADP
bracis-33597	145	57	definition	definition	NOUN
bracis-33597	145	58	9	9	NUM
bracis-33597	145	59	.	.	PUNCT
bracis-33597	146	1	although	although	SCONJ
bracis-33597	146	2	the	the	DET
bracis-33597	146	3	internal	internal	ADJ
bracis-33597	146	4	structure	structure	NOUN
bracis-33597	146	5	of	of	ADP
bracis-33597	146	6	arguments	argument	NOUN
bracis-33597	146	7	constructed	construct	VERB
bracis-33597	146	8	from	from	ADP
bracis-33597	146	9	definition	definition	NOUN
bracis-33597	146	10	8	8	NUM
bracis-33597	146	11	is	be	AUX
bracis-33597	146	12	used	use	VERB
bracis-33597	146	13	to	to	PART
bracis-33597	146	14	construct	construct	VERB
bracis-33597	146	15	\	\	PROPN
bracis-33597	146	16	(	(	PUNCT
bracis-33597	146	17	att	att	PROPN
bracis-33597	146	18	_	_	PUNCT
bracis-33597	146	19	p\	p\	NOUN
bracis-33597	146	20	)	)	PUNCT
bracis-33597	146	21	and	and	CCONJ
bracis-33597	146	22	\	\	PROPN
bracis-33597	146	23	(	(	PUNCT
bracis-33597	146	24	sup	sup	NOUN
bracis-33597	146	25	_	_	PUNCT
bracis-33597	146	26	p\	p\	NOUN
bracis-33597	146	27	)	)	PUNCT
bracis-33597	146	28	,	,	PUNCT
bracis-33597	146	29	any	any	DET
bracis-33597	146	30	argument	argument	NOUN
bracis-33597	146	31	of	of	ADP
bracis-33597	146	32	\(\mathcal	\(\mathcal	ADJ
bracis-33597	146	33	b_p\	b_p\	NOUN
bracis-33597	146	34	)	)	PUNCT
bracis-33597	146	35	is	be	AUX
bracis-33597	146	36	abstract	abstract	ADJ
bracis-33597	146	37	regarding	regard	VERB
bracis-33597	146	38	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	146	39	)	)	PUNCT
bracis-33597	146	40	semantics	semantic	NOUN
bracis-33597	146	41	,	,	PUNCT
bracis-33597	146	42	which	which	PRON
bracis-33597	146	43	depend	depend	VERB
bracis-33597	146	44	exclusively	exclusively	ADV
bracis-33597	146	45	on	on	ADP
bracis-33597	146	46	\	\	PROPN
bracis-33597	146	47	(	(	PUNCT
bracis-33597	146	48	att	att	PROPN
bracis-33597	146	49	_	_	PUNCT
bracis-33597	146	50	p\	p\	NOUN
bracis-33597	146	51	)	)	PUNCT
bracis-33597	146	52	and	and	CCONJ
bracis-33597	146	53	\	\	PROPN
bracis-33597	146	54	(	(	PUNCT
bracis-33597	146	55	sup	sup	NOUN
bracis-33597	146	56	_	_	NOUN
bracis-33597	146	57	p\	p\	NOUN
bracis-33597	146	58	)	)	PUNCT
bracis-33597	146	59	.	.	PUNCT
bracis-33597	147	1	as	as	ADP
bracis-33597	147	2	an	an	DET
bracis-33597	147	3	example	example	NOUN
bracis-33597	147	4	,	,	PUNCT
bracis-33597	147	5	the	the	DET
bracis-33597	147	6	corresponding	corresponding	ADJ
bracis-33597	147	7	\(\textit{baf}\	\(\textit{baf}\	PROPN
bracis-33597	147	8	)	)	PUNCT
bracis-33597	147	9	of	of	ADP
bracis-33597	147	10	the	the	DET
bracis-33597	147	11	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	147	12	)	)	PUNCT
bracis-33597	147	13	of	of	ADP
bracis-33597	147	14	example	example	NOUN
bracis-33597	147	15	3	3	NUM
bracis-33597	147	16	is	be	AUX
bracis-33597	147	17	depicted	depict	VERB
bracis-33597	147	18	in	in	ADP
bracis-33597	147	19	fig	fig	NOUN
bracis-33597	147	20	.	.	PUNCT
bracis-33597	147	21	 	 	SPACE
bracis-33597	148	1	2	2	NUM
bracis-33597	148	2	.	.	X
bracis-33597	148	3	fig	fig	NOUN
bracis-33597	148	4	.	.	PUNCT
bracis-33597	149	1	2	2	X
bracis-33597	149	2	.	.	X
bracis-33597	149	3	a	a	DET
bracis-33597	149	4	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	149	5	)	)	PUNCT
bracis-33597	149	6	\(\mathcal	\(\mathcal	NOUN
bracis-33597	149	7	{	{	PUNCT
bracis-33597	149	8	b}_p	b}_p	NUM
bracis-33597	149	9	=	=	SYM
bracis-33597	149	10	(	(	PUNCT
bracis-33597	149	11	\mathcal	\mathcal	X
bracis-33597	149	12	{	{	PUNCT
bracis-33597	149	13	a}_p	a}_p	PROPN
bracis-33597	149	14	,	,	PUNCT
bracis-33597	149	15	att	att	PROPN
bracis-33597	149	16	_	_	PUNCT
bracis-33597	150	1	p	p	NOUN
bracis-33597	150	2	,	,	PUNCT
bracis-33597	150	3	sup	sup	NOUN
bracis-33597	150	4	_	_	NOUN
bracis-33597	150	5	p)\	p)\	NOUN
bracis-33597	150	6	)	)	PUNCT
bracis-33597	150	7	full	full	ADJ
bracis-33597	150	8	size	size	NOUN
bracis-33597	150	9	image	image	NOUN
bracis-33597	150	10	once	once	SCONJ
bracis-33597	150	11	the	the	DET
bracis-33597	150	12	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	150	13	)	)	PUNCT
bracis-33597	150	14	has	have	AUX
bracis-33597	150	15	been	be	AUX
bracis-33597	150	16	constructed	construct	VERB
bracis-33597	150	17	,	,	PUNCT
bracis-33597	150	18	we	we	PRON
bracis-33597	150	19	show	show	VERB
bracis-33597	150	20	the	the	DET
bracis-33597	150	21	equivalence	equivalence	NOUN
bracis-33597	150	22	between	between	ADP
bracis-33597	150	23	the	the	DET
bracis-33597	150	24	semantics	semantic	NOUN
bracis-33597	150	25	for	for	ADP
bracis-33597	150	26	p	p	PROPN
bracis-33597	150	27	and	and	CCONJ
bracis-33597	150	28	their	their	PRON
bracis-33597	150	29	counterpart	counterpart	NOUN
bracis-33597	150	30	for	for	ADP
bracis-33597	150	31	the	the	DET
bracis-33597	150	32	corresponding	corresponding	ADJ
bracis-33597	150	33	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	150	34	)	)	PUNCT
bracis-33597	150	35	\(\mathcal	\(\mathcal	ADJ
bracis-33597	150	36	{	{	PUNCT
bracis-33597	150	37	b}_p\	b}_p\	NOUN
bracis-33597	150	38	)	)	PUNCT
bracis-33597	150	39	.	.	PUNCT
bracis-33597	151	1	we	we	PRON
bracis-33597	151	2	prove	prove	VERB
bracis-33597	151	3	the	the	DET
bracis-33597	151	4	equivalence	equivalence	NOUN
bracis-33597	151	5	results	result	NOUN
bracis-33597	151	6	by	by	ADP
bracis-33597	151	7	identifying	identify	VERB
bracis-33597	151	8	connections	connection	NOUN
bracis-33597	151	9	between	between	ADP
bracis-33597	151	10	fundamental	fundamental	ADJ
bracis-33597	151	11	notions	notion	NOUN
bracis-33597	151	12	used	use	VERB
bracis-33597	151	13	in	in	ADP
bracis-33597	151	14	the	the	DET
bracis-33597	151	15	definition	definition	NOUN
bracis-33597	151	16	of	of	ADP
bracis-33597	151	17	the	the	DET
bracis-33597	151	18	semantics	semantic	NOUN
bracis-33597	151	19	for	for	ADP
bracis-33597	151	20	\(\textit{nlp}\)s	\(\textit{nlp}\)s	ADJ
bracis-33597	151	21	and	and	CCONJ
bracis-33597	151	22	\(\textit{baf}\)s	\(\textit{baf}\)s	ADJ
bracis-33597	151	23	.	.	PUNCT
bracis-33597	152	1	for	for	ADP
bracis-33597	152	2	this	this	DET
bracis-33597	152	3	purpose	purpose	NOUN
bracis-33597	152	4	,	,	PUNCT
bracis-33597	152	5	we	we	PRON
bracis-33597	152	6	introduce	introduce	VERB
bracis-33597	152	7	two	two	NUM
bracis-33597	152	8	functions	function	NOUN
bracis-33597	152	9	:	:	PUNCT
bracis-33597	152	10	\(\mathcal	\(\mathcal	ADJ
bracis-33597	152	11	{	{	PUNCT
bracis-33597	152	12	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	152	13	{	{	PUNCT
bracis-33597	152	14	i}_p\	i}_p\	NOUN
bracis-33597	152	15	)	)	PUNCT
bracis-33597	152	16	associates	associate	VERB
bracis-33597	152	17	an	an	DET
bracis-33597	152	18	interpretation	interpretation	NOUN
bracis-33597	152	19	to	to	ADP
bracis-33597	152	20	each	each	DET
bracis-33597	152	21	labelling	labelling	NOUN
bracis-33597	152	22	,	,	PUNCT
bracis-33597	152	23	while	while	SCONJ
bracis-33597	152	24	\(\mathcal	\(\mathcal	ADJ
bracis-33597	152	25	{	{	PUNCT
bracis-33597	152	26	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	152	27	{	{	PUNCT
bracis-33597	152	28	l}_p\	l}_p\	PROPN
bracis-33597	152	29	)	)	PUNCT
bracis-33597	152	30	associates	associate	VERB
bracis-33597	152	31	a	a	DET
bracis-33597	152	32	labelling	labelling	NOUN
bracis-33597	152	33	to	to	ADP
bracis-33597	152	34	each	each	DET
bracis-33597	152	35	interpretation	interpretation	NOUN
bracis-33597	152	36	.	.	PUNCT
bracis-33597	153	1	we	we	PRON
bracis-33597	153	2	then	then	ADV
bracis-33597	153	3	investigate	investigate	VERB
bracis-33597	153	4	the	the	DET
bracis-33597	153	5	conditions	condition	NOUN
bracis-33597	153	6	under	under	ADP
bracis-33597	153	7	which	which	PRON
bracis-33597	153	8	they	they	PRON
bracis-33597	153	9	are	be	AUX
bracis-33597	153	10	each	each	DET
bracis-33597	153	11	other	other	ADJ
bracis-33597	153	12	’s	’s	PART
bracis-33597	153	13	inverses	inverse	NOUN
bracis-33597	153	14	and	and	CCONJ
bracis-33597	153	15	employ	employ	VERB
bracis-33597	153	16	these	these	DET
bracis-33597	153	17	results	result	NOUN
bracis-33597	153	18	to	to	PART
bracis-33597	153	19	prove	prove	VERB
bracis-33597	153	20	the	the	DET
bracis-33597	153	21	equivalence	equivalence	NOUN
bracis-33597	153	22	between	between	ADP
bracis-33597	153	23	the	the	DET
bracis-33597	153	24	semantics	semantic	NOUN
bracis-33597	153	25	.	.	PUNCT
bracis-33597	154	1	these	these	DET
bracis-33597	154	2	functions	function	NOUN
bracis-33597	154	3	essentially	essentially	ADV
bracis-33597	154	4	permit	permit	VERB
bracis-33597	154	5	us	we	PRON
bracis-33597	154	6	to	to	PART
bracis-33597	154	7	treat	treat	VERB
bracis-33597	154	8	interpretations	interpretation	NOUN
bracis-33597	154	9	and	and	CCONJ
bracis-33597	154	10	labellings	labelling	NOUN
bracis-33597	154	11	interchangeably	interchangeably	ADV
bracis-33597	154	12	.	.	PUNCT
bracis-33597	155	1	definition	definition	NOUN
bracis-33597	155	2	11	11	NUM
bracis-33597	155	3	(	(	PUNCT
bracis-33597	155	4	\(\mathcal	\(\mathcal	ADJ
bracis-33597	155	5	{	{	PUNCT
bracis-33597	155	6	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	155	7	{	{	PUNCT
bracis-33597	155	8	i}_p\	i}_p\	NOUN
bracis-33597	155	9	)	)	PUNCT
bracis-33597	155	10	and	and	CCONJ
bracis-33597	155	11	\(\mathcal	\(\mathcal	ADJ
bracis-33597	155	12	{	{	PUNCT
bracis-33597	155	13	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	155	14	{	{	PUNCT
bracis-33597	155	15	l}_p\	l}_p\	PROPN
bracis-33597	155	16	)	)	PUNCT
bracis-33597	155	17	functions	function	NOUN
bracis-33597	155	18	)	)	PUNCT
bracis-33597	155	19	.	.	PUNCT
bracis-33597	156	1	let	let	VERB
bracis-33597	156	2	p	p	PRON
bracis-33597	156	3	be	be	AUX
bracis-33597	156	4	an	an	DET
bracis-33597	156	5	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	156	6	)	)	PUNCT
bracis-33597	156	7	,	,	PUNCT
bracis-33597	156	8	\(\mathcal	\(\mathcal	X
bracis-33597	156	9	{	{	PUNCT
bracis-33597	156	10	b}_p	b}_p	PROPN
bracis-33597	156	11	=	=	SYM
bracis-33597	156	12	(	(	PUNCT
bracis-33597	156	13	\mathcal	\mathcal	ADJ
bracis-33597	156	14	{	{	PUNCT
bracis-33597	156	15	a}_p,\	a}_p,\	NOUN
bracis-33597	156	16	)	)	PUNCT
bracis-33597	156	17	\	\	PROPN
bracis-33597	156	18	(	(	PUNCT
bracis-33597	156	19	att	att	PROPN
bracis-33597	156	20	_	_	PUNCT
bracis-33597	156	21	p	p	NOUN
bracis-33597	156	22	,	,	PUNCT
bracis-33597	156	23	sup	sup	NOUN
bracis-33597	156	24	_	_	NOUN
bracis-33597	156	25	p)\	p)\	NOUN
bracis-33597	156	26	)	)	PUNCT
bracis-33597	156	27	be	be	AUX
bracis-33597	156	28	its	its	PRON
bracis-33597	156	29	corresponding	corresponding	ADJ
bracis-33597	156	30	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	156	31	)	)	PUNCT
bracis-33597	156	32	,	,	PUNCT
bracis-33597	156	33	\(\mathcal	\(\mathcal	ADJ
bracis-33597	156	34	{	{	PUNCT
bracis-33597	156	35	i	i	NOUN
bracis-33597	156	36	}	}	PUNCT
bracis-33597	156	37	nt	not	PART
bracis-33597	156	38	\	\	NOUN
bracis-33597	156	39	)	)	PUNCT
bracis-33597	156	40	be	be	AUX
bracis-33597	156	41	the	the	DET
bracis-33597	156	42	set	set	NOUN
bracis-33597	156	43	of	of	ADP
bracis-33597	156	44	all	all	DET
bracis-33597	156	45	the	the	DET
bracis-33597	156	46	3	3	NUM
bracis-33597	156	47	-	-	PUNCT
bracis-33597	156	48	valued	value	VERB
bracis-33597	156	49	interpretations	interpretation	NOUN
bracis-33597	156	50	of	of	ADP
bracis-33597	156	51	p	p	NOUN
bracis-33597	156	52	and	and	CCONJ
bracis-33597	156	53	\(\mathcal	\(\mathcal	ADJ
bracis-33597	156	54	{	{	PUNCT
bracis-33597	156	55	l	l	NOUN
bracis-33597	156	56	}	}	PUNCT
bracis-33597	156	57	ab	ab	PROPN
bracis-33597	156	58	\	\	NOUN
bracis-33597	156	59	)	)	PUNCT
bracis-33597	156	60	be	be	AUX
bracis-33597	156	61	the	the	DET
bracis-33597	156	62	set	set	NOUN
bracis-33597	156	63	of	of	ADP
bracis-33597	156	64	all	all	DET
bracis-33597	156	65	labellings	labelling	NOUN
bracis-33597	156	66	of	of	ADP
bracis-33597	156	67	\(\mathcal	\(\mathcal	ADJ
bracis-33597	156	68	{	{	PUNCT
bracis-33597	156	69	b}_p\	b}_p\	NOUN
bracis-33597	156	70	)	)	PUNCT
bracis-33597	156	71	.	.	PUNCT
bracis-33597	157	1	we	we	PRON
bracis-33597	157	2	introduce	introduce	VERB
bracis-33597	157	3	a	a	DET
bracis-33597	157	4	function	function	NOUN
bracis-33597	157	5	\(\mathcal	\(\mathcal	ADJ
bracis-33597	157	6	{	{	PUNCT
bracis-33597	157	7	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	157	8	{	{	PUNCT
bracis-33597	157	9	i}_p	i}_p	NOUN
bracis-33597	157	10	:	:	PUNCT
bracis-33597	157	11	\mathcal	\mathcal	ADJ
bracis-33597	157	12	{	{	PUNCT
bracis-33597	157	13	l	l	NOUN
bracis-33597	157	14	}	}	PUNCT
bracis-33597	157	15	ab	ab	PROPN
bracis-33597	157	16	\rightarrow	\rightarrow	PROPN
bracis-33597	157	17	\mathcal	\mathcal	PROPN
bracis-33597	157	18	{	{	PUNCT
bracis-33597	157	19	i	i	NOUN
bracis-33597	157	20	}	}	PUNCT
bracis-33597	157	21	nt	not	PART
bracis-33597	157	22	\	\	NOUN
bracis-33597	157	23	)	)	PUNCT
bracis-33597	157	24	where	where	SCONJ
bracis-33597	157	25	\(\mathcal	\(\mathcal	ADJ
bracis-33597	157	26	{	{	PUNCT
bracis-33597	157	27	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	157	28	{	{	PUNCT
bracis-33597	157	29	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	157	30	{	{	PUNCT
bracis-33597	157	31	l	l	NOUN
bracis-33597	157	32	}	}	PUNCT
bracis-33597	157	33	)	)	PUNCT
bracis-33597	158	1	=	=	SYM
bracis-33597	158	2	(	(	PUNCT
bracis-33597	158	3	t	t	PROPN
bracis-33597	158	4	,	,	PUNCT
bracis-33597	158	5	f	f	PROPN
bracis-33597	158	6	,	,	PUNCT
bracis-33597	158	7	hb	hb	X
bracis-33597	159	1	_	_	PUNCT
bracis-33597	159	2	p	p	X
bracis-33597	159	3	(	(	PUNCT
bracis-33597	159	4	t	t	PROPN
bracis-33597	159	5	\cup	\cup	VERB
bracis-33597	159	6	f))\	f))\	PROPN
bracis-33597	159	7	)	)	PUNCT
bracis-33597	159	8	,	,	PUNCT
bracis-33597	159	9	in	in	ADP
bracis-33597	159	10	which	which	PRON
bracis-33597	159	11	\(t	\(t	NOUN
bracis-33597	159	12	=	=	PUNCT
bracis-33597	159	13	\{c	\{c	PRON
bracis-33597	159	14	\in	\in	PROPN
bracis-33597	159	15	hb	hb	X
bracis-33597	159	16	_	_	PUNCT
bracis-33597	159	17	p	p	NOUN
bracis-33597	159	18	\mid	\mid	ADP
bracis-33597	159	19	\exists	\exist	NOUN
bracis-33597	159	20	a	a	DET
bracis-33597	159	21	\in	\in	PROPN
bracis-33597	159	22	\texttt{in}(\mathcal	\texttt{in}(\mathcal	PROPN
bracis-33597	159	23	{	{	PUNCT
bracis-33597	159	24	l})\text	l})\text	PROPN
bracis-33597	159	25	{	{	PUNCT
bracis-33597	159	26	with	with	ADP
bracis-33597	159	27	}	}	PUNCT
bracis-33597	159	28	\texttt{conc}(a	\texttt{conc}(a	ADJ
bracis-33597	159	29	)	)	PUNCT
bracis-33597	159	30	=	=	SYM
bracis-33597	159	31	c\}\	c\}\	NOUN
bracis-33597	159	32	)	)	PUNCT
bracis-33597	159	33	;	;	PUNCT
bracis-33597	159	34	and	and	CCONJ
bracis-33597	159	35	\(f	\(f	X
bracis-33597	159	36	=	=	SYM
bracis-33597	159	37	\{c	\{c	PRON
bracis-33597	159	38	\in	\in	PROPN
bracis-33597	159	39	hb	hb	X
bracis-33597	159	40	_	_	PUNCT
bracis-33597	159	41	p	p	X
bracis-33597	159	42	\mid	\mid	ADP
bracis-33597	159	43	\mathcal	\mathcal	PROPN
bracis-33597	159	44	{	{	PUNCT
bracis-33597	159	45	l}(a	l}(a	PROPN
bracis-33597	159	46	)	)	PUNCT
bracis-33597	159	47	=	=	SYM
bracis-33597	160	1	\texttt{out}\textit	\texttt{out}\textit	NOUN
bracis-33597	160	2	{	{	PUNCT
bracis-33597	160	3	for	for	ADP
bracis-33597	160	4	every	every	PRON
bracis-33597	160	5	}	}	PUNCT
bracis-33597	160	6	a	a	DET
bracis-33597	160	7	\in	\in	PROPN
bracis-33597	160	8	\mathcal	\mathcal	PROPN
bracis-33597	160	9	{	{	PUNCT
bracis-33597	160	10	a}_p	a}_p	NUM
bracis-33597	160	11	\textit	\textit	NOUN
bracis-33597	160	12	{	{	PUNCT
bracis-33597	160	13	such	such	ADJ
bracis-33597	160	14	that	that	SCONJ
bracis-33597	160	15	}	}	PUNCT
bracis-33597	160	16	\texttt{conc}(a	\texttt{conc}(a	ADP
bracis-33597	160	17	)	)	PUNCT
bracis-33597	160	18	=	=	SYM
bracis-33597	160	19	c\}\	c\}\	NOUN
bracis-33597	160	20	)	)	PUNCT
bracis-33597	160	21	.	.	PUNCT
bracis-33597	161	1	we	we	PRON
bracis-33597	161	2	introduce	introduce	VERB
bracis-33597	161	3	a	a	DET
bracis-33597	161	4	function	function	NOUN
bracis-33597	161	5	\(\mathcal	\(\mathcal	ADJ
bracis-33597	161	6	{	{	PUNCT
bracis-33597	161	7	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	161	8	{	{	PUNCT
bracis-33597	161	9	l}_p	l}_p	PROPN
bracis-33597	161	10	:	:	PUNCT
bracis-33597	161	11	\mathcal	\mathcal	PROPN
bracis-33597	161	12	{	{	PUNCT
bracis-33597	161	13	i	i	NOUN
bracis-33597	161	14	}	}	PUNCT
bracis-33597	161	15	nt	not	PART
bracis-33597	161	16	\rightarrow	\rightarrow	PROPN
bracis-33597	161	17	\mathcal	\mathcal	PROPN
bracis-33597	161	18	{	{	PUNCT
bracis-33597	161	19	l	l	NOUN
bracis-33597	161	20	}	}	PUNCT
bracis-33597	161	21	ab	ab	PROPN
bracis-33597	161	22	\	\	NOUN
bracis-33597	161	23	)	)	PUNCT
bracis-33597	161	24	such	such	ADJ
bracis-33597	161	25	that	that	PRON
bracis-33597	161	26	for	for	ADP
bracis-33597	161	27	any	any	DET
bracis-33597	161	28	\(\mathcal	\(\mathcal	ADJ
bracis-33597	161	29	i	i	PROPN
bracis-33597	161	30	\in	\in	PROPN
bracis-33597	161	31	\mathcal	\mathcal	PROPN
bracis-33597	161	32	{	{	PUNCT
bracis-33597	161	33	i	i	NOUN
bracis-33597	161	34	}	}	PUNCT
bracis-33597	161	35	nt	not	PART
bracis-33597	161	36	\	\	NOUN
bracis-33597	161	37	)	)	PUNCT
bracis-33597	161	38	and	and	CCONJ
bracis-33597	161	39	any	any	DET
bracis-33597	161	40	\(a	\(a	ADJ
bracis-33597	161	41	\in	\in	PROPN
bracis-33597	161	42	\mathcal	\mathcal	PROPN
bracis-33597	161	43	{	{	PUNCT
bracis-33597	161	44	a}_p\	a}_p\	NOUN
bracis-33597	161	45	)	)	PUNCT
bracis-33597	161	46	,	,	PUNCT
bracis-33597	161	47	\(\mathcal	\(\mathcal	ADJ
bracis-33597	161	48	{	{	PUNCT
bracis-33597	161	49	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	161	50	{	{	PUNCT
bracis-33597	161	51	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	161	52	i)(a	i)(a	NOUN
bracis-33597	161	53	)	)	PUNCT
bracis-33597	161	54	=	=	SYM
bracis-33597	161	55	\texttt{in}\	\texttt{in}\	NOUN
bracis-33597	161	56	)	)	PUNCT
bracis-33597	161	57	if	if	SCONJ
bracis-33597	161	58	\(\mathcal	\(\mathcal	ADJ
bracis-33597	161	59	i(\texttt{conc}(a	i(\texttt{conc}(a	NOUN
bracis-33597	161	60	)	)	PUNCT
bracis-33597	161	61	)	)	PUNCT
bracis-33597	161	62	=	=	SYM
bracis-33597	161	63	\textbf{t}\	\textbf{t}\	NUM
bracis-33597	161	64	)	)	PUNCT
bracis-33597	161	65	;	;	PUNCT
bracis-33597	161	66	\(\mathcal	\(\mathcal	X
bracis-33597	161	67	{	{	PUNCT
bracis-33597	161	68	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	161	69	{	{	PUNCT
bracis-33597	161	70	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	161	71	i)(a	i)(a	NOUN
bracis-33597	161	72	)	)	PUNCT
bracis-33597	161	73	=	=	PUNCT
bracis-33597	161	74	\texttt{out}\	\texttt{out}\	ADV
bracis-33597	161	75	)	)	PUNCT
bracis-33597	161	76	if	if	SCONJ
bracis-33597	161	77	\(\mathcal	\(\mathcal	ADJ
bracis-33597	161	78	i(\texttt{conc}(a	i(\texttt{conc}(a	NOUN
bracis-33597	161	79	)	)	PUNCT
bracis-33597	161	80	)	)	PUNCT
bracis-33597	162	1	=	=	PUNCT
bracis-33597	162	2	\textbf{f}\	\textbf{f}\	X
bracis-33597	162	3	)	)	PUNCT
bracis-33597	162	4	;	;	PUNCT
bracis-33597	162	5	\(\mathcal	\(\mathcal	X
bracis-33597	162	6	{	{	PUNCT
bracis-33597	162	7	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	162	8	{	{	PUNCT
bracis-33597	162	9	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	162	10	i)(a	i)(a	NOUN
bracis-33597	162	11	)	)	PUNCT
bracis-33597	162	12	=	=	PRON
bracis-33597	162	13	\texttt{undec}\	\texttt{undec}\	VERB
bracis-33597	162	14	)	)	PUNCT
bracis-33597	162	15	if	if	SCONJ
bracis-33597	162	16	\(\mathcal	\(\mathcal	ADJ
bracis-33597	162	17	i(\texttt{conc}(a	i(\texttt{conc}(a	NOUN
bracis-33597	162	18	)	)	PUNCT
bracis-33597	162	19	)	)	PUNCT
bracis-33597	163	1	=	=	PUNCT
bracis-33597	163	2	\textbf{u}\	\textbf{u}\	NOUN
bracis-33597	163	3	)	)	PUNCT
bracis-33597	163	4	.	.	PUNCT
bracis-33597	164	1	in	in	ADP
bracis-33597	164	2	general	general	ADJ
bracis-33597	164	3	,	,	PUNCT
bracis-33597	164	4	\(\mathcal	\(\mathcal	ADJ
bracis-33597	164	5	{	{	PUNCT
bracis-33597	164	6	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	164	7	{	{	PUNCT
bracis-33597	164	8	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	164	9	{	{	PUNCT
bracis-33597	164	10	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	164	11	{	{	PUNCT
bracis-33597	164	12	i}_p(\mathcal	i}_p(\mathcal	PROPN
bracis-33597	164	13	{	{	PUNCT
bracis-33597	164	14	l}))\	l}))\	PROPN
bracis-33597	164	15	)	)	PUNCT
bracis-33597	164	16	is	be	AUX
bracis-33597	164	17	not	not	PART
bracis-33597	164	18	equal	equal	ADJ
bracis-33597	164	19	to	to	ADP
bracis-33597	164	20	\(\mathcal	\(\mathcal	ADJ
bracis-33597	164	21	{	{	PUNCT
bracis-33597	164	22	l}\	l}\	PROPN
bracis-33597	164	23	)	)	PUNCT
bracis-33597	164	24	.	.	PUNCT
bracis-33597	165	1	for	for	ADP
bracis-33597	165	2	instance	instance	NOUN
bracis-33597	165	3	,	,	PUNCT
bracis-33597	165	4	considering	consider	VERB
bracis-33597	165	5	the	the	DET
bracis-33597	165	6	labelling	labelling	NOUN
bracis-33597	165	7	\(\mathcal	\(\mathcal	ADJ
bracis-33597	165	8	{	{	PUNCT
bracis-33597	165	9	l	l	NOUN
bracis-33597	165	10	}	}	PUNCT
bracis-33597	165	11	=	=	SYM
bracis-33597	165	12	(	(	PUNCT
bracis-33597	165	13	\emptyset	\emptyset	PROPN
bracis-33597	165	14	,	,	PUNCT
bracis-33597	165	15	\left\	\left\	PROPN
bracis-33597	165	16	{	{	PUNCT
bracis-33597	165	17	a_4\right\	a_4\right\	NOUN
bracis-33597	165	18	}	}	PUNCT
bracis-33597	165	19	,	,	PUNCT
bracis-33597	165	20	\left\	\left\	PROPN
bracis-33597	165	21	{	{	PUNCT
bracis-33597	165	22	a_1	a_1	PROPN
bracis-33597	165	23	,	,	PUNCT
bracis-33597	165	24	a_2	a_2	PROPN
bracis-33597	165	25	,	,	PUNCT
bracis-33597	165	26	a_3	a_3	PROPN
bracis-33597	165	27	,	,	PUNCT
bracis-33597	165	28	a_5	a_5	VERB
bracis-33597	165	29	,	,	PUNCT
bracis-33597	165	30	a_6\right\	a_6\right\	ADV
bracis-33597	165	31	}	}	PUNCT
bracis-33597	165	32	)	)	PUNCT
bracis-33597	165	33	\	\	NOUN
bracis-33597	165	34	)	)	PUNCT
bracis-33597	165	35	and	and	CCONJ
bracis-33597	165	36	the	the	DET
bracis-33597	165	37	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	165	38	)	)	PUNCT
bracis-33597	165	39	\(\mathcal	\(\mathcal	ADJ
bracis-33597	165	40	{	{	PUNCT
bracis-33597	165	41	b}_p\	b}_p\	NOUN
bracis-33597	165	42	)	)	PUNCT
bracis-33597	165	43	of	of	ADP
bracis-33597	165	44	fig	fig	NOUN
bracis-33597	165	45	.	.	PUNCT
bracis-33597	165	46	 	 	SPACE
bracis-33597	166	1	2	2	NUM
bracis-33597	166	2	,	,	PUNCT
bracis-33597	166	3	we	we	PRON
bracis-33597	166	4	have	have	VERB
bracis-33597	166	5	that	that	DET
bracis-33597	166	6	\(\mathcal	\(\mathcal	ADJ
bracis-33597	166	7	{	{	PUNCT
bracis-33597	166	8	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	166	9	{	{	PUNCT
bracis-33597	166	10	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	166	11	{	{	PUNCT
bracis-33597	166	12	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	166	13	{	{	PUNCT
bracis-33597	166	14	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	166	15	{	{	PUNCT
bracis-33597	166	16	l	l	NOUN
bracis-33597	166	17	}	}	PUNCT
bracis-33597	166	18	)	)	PUNCT
bracis-33597	166	19	)	)	PUNCT
bracis-33597	167	1	=	=	PUNCT
bracis-33597	167	2	(	(	PUNCT
bracis-33597	167	3	\emptyset	\emptyset	VERB
bracis-33597	167	4	,	,	PUNCT
bracis-33597	167	5	\emptyset	\emptyset	VERB
bracis-33597	167	6	,	,	PUNCT
bracis-33597	167	7	\left\	\left\	PROPN
bracis-33597	167	8	{	{	PUNCT
bracis-33597	167	9	a_1	a_1	PROPN
bracis-33597	167	10	,	,	PUNCT
bracis-33597	167	11	a_2	a_2	PROPN
bracis-33597	167	12	,	,	PUNCT
bracis-33597	167	13	a_3	a_3	PROPN
bracis-33597	167	14	,	,	PUNCT
bracis-33597	167	15	a_4	a_4	PROPN
bracis-33597	167	16	,	,	PUNCT
bracis-33597	167	17	a_5	a_5	VERB
bracis-33597	167	18	,	,	PUNCT
bracis-33597	167	19	a_6\right\	a_6\right\	ADV
bracis-33597	167	20	}	}	PUNCT
bracis-33597	167	21	)	)	PUNCT
bracis-33597	167	22	\	\	PROPN
bracis-33597	167	23	)	)	PUNCT
bracis-33597	167	24	.	.	PUNCT
bracis-33597	168	1	such	such	DET
bracis-33597	168	2	an	an	DET
bracis-33597	168	3	inequality	inequality	NOUN
bracis-33597	168	4	will	will	AUX
bracis-33597	168	5	always	always	ADV
bracis-33597	168	6	occur	occur	VERB
bracis-33597	168	7	when	when	SCONJ
bracis-33597	168	8	two	two	NUM
bracis-33597	168	9	arguments	argument	NOUN
bracis-33597	168	10	with	with	ADP
bracis-33597	168	11	the	the	DET
bracis-33597	168	12	same	same	ADJ
bracis-33597	168	13	conclusion	conclusion	NOUN
bracis-33597	168	14	receive	receive	VERB
bracis-33597	168	15	distinct	distinct	ADJ
bracis-33597	168	16	labels	label	NOUN
bracis-33597	168	17	.	.	PUNCT
bracis-33597	169	1	in	in	ADP
bracis-33597	169	2	our	our	PRON
bracis-33597	169	3	example	example	NOUN
bracis-33597	169	4	,	,	PUNCT
bracis-33597	169	5	\(a_4\	\(a_4\	PROPN
bracis-33597	169	6	)	)	PUNCT
bracis-33597	169	7	and	and	CCONJ
bracis-33597	169	8	\(a_5\	\(a_5\	VERB
bracis-33597	169	9	)	)	PUNCT
bracis-33597	169	10	have	have	VERB
bracis-33597	169	11	the	the	DET
bracis-33597	169	12	same	same	ADJ
bracis-33597	169	13	conclusion	conclusion	NOUN
bracis-33597	169	14	d	d	NOUN
bracis-33597	169	15	;	;	PUNCT
bracis-33597	169	16	\(\mathcal	\(\mathcal	ADJ
bracis-33597	169	17	{	{	PUNCT
bracis-33597	169	18	l}(a_4	l}(a_4	NOUN
bracis-33597	169	19	)	)	PUNCT
bracis-33597	169	20	=	=	PUNCT
bracis-33597	169	21	\texttt{out}\	\texttt{out}\	ADV
bracis-33597	169	22	)	)	PUNCT
bracis-33597	169	23	,	,	PUNCT
bracis-33597	169	24	but	but	CCONJ
bracis-33597	169	25	\(\mathcal	\(\mathcal	ADJ
bracis-33597	169	26	{	{	PUNCT
bracis-33597	169	27	l}(a_5	l}(a_5	PROPN
bracis-33597	169	28	)	)	PUNCT
bracis-33597	169	29	=	=	PUNCT
bracis-33597	169	30	\texttt{undec}\	\texttt{undec}\	ADJ
bracis-33597	169	31	)	)	PUNCT
bracis-33597	169	32	.	.	PUNCT
bracis-33597	170	1	it	it	PRON
bracis-33597	170	2	holds	hold	VERB
bracis-33597	170	3	\(\mathcal	\(\mathcal	ADJ
bracis-33597	170	4	{	{	PUNCT
bracis-33597	170	5	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	170	6	{	{	PUNCT
bracis-33597	170	7	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	170	8	{	{	PUNCT
bracis-33597	170	9	l})(d	l})(d	PROPN
bracis-33597	170	10	)	)	PUNCT
bracis-33597	170	11	=	=	PUNCT
bracis-33597	170	12	\textbf{u}\	\textbf{u}\	PROPN
bracis-33597	170	13	)	)	PUNCT
bracis-33597	170	14	,	,	PUNCT
bracis-33597	170	15	and	and	CCONJ
bracis-33597	170	16	consequently	consequently	ADV
bracis-33597	170	17	,	,	PUNCT
bracis-33597	170	18	\(\mathcal	\(\mathcal	ADJ
bracis-33597	170	19	{	{	PUNCT
bracis-33597	170	20	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	170	21	{	{	PUNCT
bracis-33597	170	22	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	170	23	{	{	PUNCT
bracis-33597	170	24	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	170	25	{	{	PUNCT
bracis-33597	170	26	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	170	27	{	{	PUNCT
bracis-33597	170	28	l}))(a_4	l}))(a_4	PROPN
bracis-33597	170	29	)	)	PUNCT
bracis-33597	170	30	=	=	SYM
bracis-33597	171	1	\mathcal	\mathcal	ADJ
bracis-33597	171	2	{	{	PUNCT
bracis-33597	171	3	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	171	4	{	{	PUNCT
bracis-33597	171	5	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	171	6	{	{	PUNCT
bracis-33597	171	7	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	171	8	{	{	PUNCT
bracis-33597	171	9	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	171	10	{	{	PUNCT
bracis-33597	171	11	l}))(a_5	l}))(a_5	NOUN
bracis-33597	171	12	)	)	PUNCT
bracis-33597	171	13	=	=	PRON
bracis-33597	171	14	\texttt{undec}\	\texttt{undec}\	NOUN
bracis-33597	171	15	)	)	PUNCT
bracis-33597	171	16	,	,	PUNCT
bracis-33597	171	17	i.e.	i.e.	X
bracis-33597	171	18	,	,	PUNCT
bracis-33597	171	19	\(\mathcal	\(\mathcal	ADJ
bracis-33597	171	20	{	{	PUNCT
bracis-33597	171	21	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	171	22	{	{	PUNCT
bracis-33597	171	23	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	171	24	{	{	PUNCT
bracis-33597	171	25	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	171	26	{	{	PUNCT
bracis-33597	171	27	i}_p(\mathcal	i}_p(\mathcal	PROPN
bracis-33597	171	28	{	{	PUNCT
bracis-33597	171	29	l}))\	l}))\	PROPN
bracis-33597	171	30	)	)	PUNCT
bracis-33597	171	31	is	be	AUX
bracis-33597	171	32	not	not	PART
bracis-33597	171	33	equal	equal	ADJ
bracis-33597	171	34	to	to	ADP
bracis-33597	171	35	\(\mathcal	\(\mathcal	ADJ
bracis-33597	171	36	{	{	PUNCT
bracis-33597	171	37	l}\	l}\	PROPN
bracis-33597	171	38	)	)	PUNCT
bracis-33597	171	39	.	.	PUNCT
bracis-33597	172	1	however	however	ADV
bracis-33597	172	2	,	,	PUNCT
bracis-33597	172	3	if	if	SCONJ
bracis-33597	172	4	\(\mathcal	\(\mathcal	ADJ
bracis-33597	172	5	{	{	PUNCT
bracis-33597	172	6	l}\	l}\	PROPN
bracis-33597	172	7	)	)	PUNCT
bracis-33597	172	8	is	be	AUX
bracis-33597	172	9	a	a	DET
bracis-33597	172	10	\(\beta	\(\beta	NOUN
bracis-33597	172	11	\)-complete	\)-complete	NOUN
bracis-33597	172	12	labelling	labelling	NOUN
bracis-33597	172	13	of	of	ADP
bracis-33597	172	14	\(\mathcal	\(\mathcal	ADJ
bracis-33597	172	15	{	{	PUNCT
bracis-33597	172	16	b}_p\	b}_p\	NOUN
bracis-33597	172	17	)	)	PUNCT
bracis-33597	172	18	,	,	PUNCT
bracis-33597	172	19	arguments	argument	NOUN
bracis-33597	172	20	with	with	ADP
bracis-33597	172	21	the	the	DET
bracis-33597	172	22	same	same	ADJ
bracis-33597	172	23	conclusion	conclusion	NOUN
bracis-33597	172	24	will	will	AUX
bracis-33597	172	25	always	always	ADV
bracis-33597	172	26	have	have	VERB
bracis-33597	172	27	the	the	DET
bracis-33597	172	28	same	same	ADJ
bracis-33597	172	29	label	label	NOUN
bracis-33597	172	30	:	:	PUNCT
bracis-33597	172	31	theorem	theorem	NOUN
bracis-33597	172	32	1	1	NUM
bracis-33597	172	33	let	let	VERB
bracis-33597	172	34	\(\mathcal	\(\mathcal	ADJ
bracis-33597	172	35	{	{	PUNCT
bracis-33597	172	36	b}_p	b}_p	NUM
bracis-33597	172	37	=	=	SYM
bracis-33597	172	38	(	(	PUNCT
bracis-33597	172	39	\mathcal	\mathcal	X
bracis-33597	172	40	{	{	PUNCT
bracis-33597	172	41	a}_p	a}_p	PROPN
bracis-33597	172	42	,	,	PUNCT
bracis-33597	172	43	att	att	PROPN
bracis-33597	172	44	_	_	PUNCT
bracis-33597	172	45	p	p	NOUN
bracis-33597	172	46	,	,	PUNCT
bracis-33597	172	47	sup	sup	NOUN
bracis-33597	172	48	_	_	NOUN
bracis-33597	172	49	p)\	p)\	NOUN
bracis-33597	172	50	)	)	PUNCT
bracis-33597	172	51	be	be	VERB
bracis-33597	172	52	the	the	DET
bracis-33597	172	53	corresponding	corresponding	ADJ
bracis-33597	172	54	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	172	55	)	)	PUNCT
bracis-33597	172	56	of	of	ADP
bracis-33597	172	57	p.	p.	NOUN
bracis-33597	172	58	if	if	SCONJ
bracis-33597	172	59	\(\mathcal	\(\mathcal	ADJ
bracis-33597	172	60	{	{	PUNCT
bracis-33597	172	61	l}\	l}\	PROPN
bracis-33597	172	62	)	)	PUNCT
bracis-33597	172	63	is	be	AUX
bracis-33597	172	64	a	a	DET
bracis-33597	172	65	\(\beta	\(\beta	NOUN
bracis-33597	172	66	\)-complete	\)-complete	NOUN
bracis-33597	172	67	labelling	labelling	NOUN
bracis-33597	172	68	of	of	ADP
bracis-33597	172	69	\(\mathcal	\(\mathcal	ADJ
bracis-33597	172	70	{	{	PUNCT
bracis-33597	172	71	b}_p\	b}_p\	NOUN
bracis-33597	172	72	)	)	PUNCT
bracis-33597	172	73	and	and	CCONJ
bracis-33597	172	74	\(\texttt{conc}(a	\(\texttt{conc}(a	NUM
bracis-33597	172	75	)	)	PUNCT
bracis-33597	172	76	=	=	SYM
bracis-33597	172	77	\texttt{conc}(b)\	\texttt{conc}(b)\	PROPN
bracis-33597	172	78	)	)	PUNCT
bracis-33597	172	79	,	,	PUNCT
bracis-33597	172	80	then	then	ADV
bracis-33597	172	81	\(\mathcal	\(\mathcal	ADJ
bracis-33597	172	82	{	{	PUNCT
bracis-33597	172	83	l}(a	l}(a	PROPN
bracis-33597	172	84	)	)	PUNCT
bracis-33597	173	1	=	=	SYM
bracis-33597	173	2	\mathcal	\mathcal	PROPN
bracis-33597	173	3	{	{	PUNCT
bracis-33597	173	4	l}(b)\	l}(b)\	PROPN
bracis-33597	173	5	)	)	PUNCT
bracis-33597	173	6	.	.	PUNCT
bracis-33597	174	1	proof	proof	NOUN
bracis-33597	174	2	let	let	VERB
bracis-33597	174	3	\(a	\(a	NOUN
bracis-33597	174	4	,	,	PUNCT
bracis-33597	174	5	b	b	PROPN
bracis-33597	174	6	\in	\in	PROPN
bracis-33597	174	7	\mathcal	\mathcal	ADJ
bracis-33597	174	8	{	{	PUNCT
bracis-33597	174	9	a}_p\	a}_p\	NOUN
bracis-33597	174	10	)	)	PUNCT
bracis-33597	174	11	with	with	ADP
bracis-33597	174	12	\(\texttt{conc}(a	\(\texttt{conc}(a	NUM
bracis-33597	174	13	)	)	PUNCT
bracis-33597	174	14	=	=	SYM
bracis-33597	174	15	\texttt{conc}(b)\	\texttt{conc}(b)\	PROPN
bracis-33597	174	16	)	)	PUNCT
bracis-33597	174	17	and	and	CCONJ
bracis-33597	174	18	\(\mathcal	\(\mathcal	ADJ
bracis-33597	174	19	{	{	PUNCT
bracis-33597	174	20	l}\	l}\	PROPN
bracis-33597	174	21	)	)	PUNCT
bracis-33597	174	22	be	be	VERB
bracis-33597	174	23	a	a	DET
bracis-33597	174	24	\(\beta	\(\beta	NOUN
bracis-33597	174	25	\)-complete	\)-complete	NOUN
bracis-33597	174	26	labelling	labelling	NOUN
bracis-33597	174	27	of	of	ADP
bracis-33597	174	28	\(\mathcal	\(\mathcal	ADJ
bracis-33597	174	29	{	{	PUNCT
bracis-33597	174	30	b}_p\	b}_p\	NOUN
bracis-33597	174	31	)	)	PUNCT
bracis-33597	174	32	.	.	PUNCT
bracis-33597	175	1	the	the	DET
bracis-33597	175	2	result	result	NOUN
bracis-33597	175	3	holds	hold	VERB
bracis-33597	175	4	trivially	trivially	ADV
bracis-33597	175	5	for	for	ADP
bracis-33597	175	6	\(a	\(a	NOUN
bracis-33597	175	7	=	=	SYM
bracis-33597	175	8	b\	b\	PRON
bracis-33597	175	9	)	)	PUNCT
bracis-33597	175	10	.	.	PUNCT
bracis-33597	176	1	assume	assume	VERB
bracis-33597	176	2	\(a	\(a	ADJ
bracis-33597	176	3	\ne	\ne	PROPN
bracis-33597	176	4	b\	b\	NOUN
bracis-33597	176	5	)	)	PUNCT
bracis-33597	176	6	.	.	PUNCT
bracis-33597	177	1	by	by	ADP
bracis-33597	177	2	definition	definition	NOUN
bracis-33597	177	3	9	9	NUM
bracis-33597	177	4	,	,	PUNCT
bracis-33597	177	5	\((a	\((a	NOUN
bracis-33597	177	6	,	,	PUNCT
bracis-33597	177	7	b	b	NOUN
bracis-33597	177	8	)	)	PUNCT
bracis-33597	177	9	\in	\in	ADJ
bracis-33597	177	10	sup	sup	NOUN
bracis-33597	177	11	_	_	NOUN
bracis-33597	177	12	p\	p\	NOUN
bracis-33597	177	13	)	)	PUNCT
bracis-33597	177	14	and	and	CCONJ
bracis-33597	177	15	\((b	\((b	VERB
bracis-33597	177	16	,	,	PUNCT
bracis-33597	177	17	a	a	DET
bracis-33597	177	18	)	)	PUNCT
bracis-33597	177	19	\in	\in	ADJ
bracis-33597	177	20	sup	sup	NOUN
bracis-33597	177	21	_	_	NOUN
bracis-33597	177	22	p\	p\	NOUN
bracis-33597	177	23	)	)	PUNCT
bracis-33597	177	24	.	.	PUNCT
bracis-33597	178	1	as	as	ADP
bracis-33597	178	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	178	3	{	{	PUNCT
bracis-33597	178	4	l}\	l}\	PROPN
bracis-33597	178	5	)	)	PUNCT
bracis-33597	178	6	is	be	AUX
bracis-33597	178	7	\(\beta	\(\beta	X
bracis-33597	178	8	\)-complete	\)-complete	NOUN
bracis-33597	178	9	,	,	PUNCT
bracis-33597	178	10	\(\mathcal	\(\mathcal	ADJ
bracis-33597	178	11	{	{	PUNCT
bracis-33597	178	12	l}(a	l}(a	PROPN
bracis-33597	178	13	)	)	PUNCT
bracis-33597	179	1	=	=	SYM
bracis-33597	179	2	\mathcal	\mathcal	PROPN
bracis-33597	179	3	{	{	PUNCT
bracis-33597	179	4	l}(b)\	l}(b)\	PROPN
bracis-33597	179	5	)	)	PUNCT
bracis-33597	179	6	.	.	PUNCT
bracis-33597	180	1	thus	thus	ADV
bracis-33597	180	2	,	,	PUNCT
bracis-33597	180	3	if	if	SCONJ
bracis-33597	180	4	\(\mathcal	\(\mathcal	ADJ
bracis-33597	180	5	{	{	PUNCT
bracis-33597	180	6	l}\	l}\	PROPN
bracis-33597	180	7	)	)	PUNCT
bracis-33597	180	8	is	be	AUX
bracis-33597	180	9	a	a	DET
bracis-33597	180	10	\(\beta	\(\beta	PROPN
bracis-33597	180	11	\)-complete	\)-complete	NOUN
bracis-33597	180	12	labelling	labelling	NOUN
bracis-33597	180	13	,	,	PUNCT
bracis-33597	180	14	we	we	PRON
bracis-33597	180	15	have	have	VERB
bracis-33597	180	16	that	that	DET
bracis-33597	180	17	\(\mathcal	\(\mathcal	ADJ
bracis-33597	180	18	{	{	PUNCT
bracis-33597	180	19	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	180	20	{	{	PUNCT
bracis-33597	180	21	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	180	22	{	{	PUNCT
bracis-33597	180	23	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	180	24	{	{	PUNCT
bracis-33597	180	25	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	180	26	{	{	PUNCT
bracis-33597	180	27	l	l	NOUN
bracis-33597	180	28	}	}	PUNCT
bracis-33597	180	29	)	)	PUNCT
bracis-33597	180	30	)	)	PUNCT
bracis-33597	181	1	=	=	PUNCT
bracis-33597	181	2	\mathcal	\mathcal	ADJ
bracis-33597	181	3	{	{	PUNCT
bracis-33597	181	4	l}\	l}\	ADJ
bracis-33597	181	5	):	):	PUNCT
bracis-33597	181	6	theorem	theorem	ADJ
bracis-33597	181	7	2	2	NUM
bracis-33597	181	8	let	let	VERB
bracis-33597	181	9	\(\mathcal	\(\mathcal	ADJ
bracis-33597	181	10	{	{	PUNCT
bracis-33597	181	11	b}_p	b}_p	NUM
bracis-33597	181	12	=	=	SYM
bracis-33597	181	13	(	(	PUNCT
bracis-33597	181	14	\mathcal	\mathcal	X
bracis-33597	181	15	{	{	PUNCT
bracis-33597	181	16	a}_p	a}_p	PROPN
bracis-33597	181	17	,	,	PUNCT
bracis-33597	181	18	att	att	PROPN
bracis-33597	181	19	_	_	PUNCT
bracis-33597	182	1	p	p	NOUN
bracis-33597	182	2	,	,	PUNCT
bracis-33597	182	3	sup	sup	NOUN
bracis-33597	182	4	_	_	NOUN
bracis-33597	182	5	p)\	p)\	NOUN
bracis-33597	182	6	)	)	PUNCT
bracis-33597	182	7	be	be	VERB
bracis-33597	182	8	the	the	DET
bracis-33597	182	9	corresponding	corresponding	ADJ
bracis-33597	182	10	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	182	11	)	)	PUNCT
bracis-33597	182	12	of	of	ADP
bracis-33597	182	13	p.	p.	NOUN
bracis-33597	182	14	for	for	ADP
bracis-33597	182	15	any	any	DET
bracis-33597	182	16	\(\beta	\(\beta	PROPN
bracis-33597	182	17	\)-complete	\)-complete	NOUN
bracis-33597	182	18	labelling	labelling	NOUN
bracis-33597	182	19	\(\mathcal	\(\mathcal	ADJ
bracis-33597	182	20	{	{	PUNCT
bracis-33597	182	21	l}\	l}\	PROPN
bracis-33597	182	22	)	)	PUNCT
bracis-33597	182	23	of	of	ADP
bracis-33597	182	24	\(\mathcal	\(\mathcal	ADJ
bracis-33597	182	25	{	{	PUNCT
bracis-33597	182	26	b}_p\	b}_p\	NOUN
bracis-33597	182	27	)	)	PUNCT
bracis-33597	182	28	,	,	PUNCT
bracis-33597	182	29	it	it	PRON
bracis-33597	182	30	holds	hold	VERB
bracis-33597	182	31	\(\mathcal	\(\mathcal	ADJ
bracis-33597	182	32	{	{	PUNCT
bracis-33597	182	33	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	182	34	{	{	PUNCT
bracis-33597	182	35	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	182	36	{	{	PUNCT
bracis-33597	182	37	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	182	38	{	{	PUNCT
bracis-33597	182	39	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	182	40	{	{	PUNCT
bracis-33597	182	41	l	l	NOUN
bracis-33597	182	42	}	}	PUNCT
bracis-33597	182	43	)	)	PUNCT
bracis-33597	182	44	)	)	PUNCT
bracis-33597	183	1	=	=	PUNCT
bracis-33597	183	2	\mathcal	\mathcal	ADJ
bracis-33597	183	3	{	{	PUNCT
bracis-33597	183	4	l}\	l}\	PROPN
bracis-33597	183	5	)	)	PUNCT
bracis-33597	183	6	.	.	PUNCT
bracis-33597	184	1	proof	proof	NOUN
bracis-33597	184	2	let	let	VERB
bracis-33597	184	3	\(a	\(a	PROPN
bracis-33597	184	4	\in	\in	PROPN
bracis-33597	184	5	\mathcal	\mathcal	PROPN
bracis-33597	184	6	{	{	PUNCT
bracis-33597	184	7	a}_p\	a}_p\	NOUN
bracis-33597	184	8	)	)	PUNCT
bracis-33597	184	9	.	.	PUNCT
bracis-33597	185	1	there	there	PRON
bracis-33597	185	2	are	be	VERB
bracis-33597	185	3	3	3	NUM
bracis-33597	185	4	cases	case	NOUN
bracis-33597	185	5	:	:	PUNCT
bracis-33597	185	6	\(\mathcal	\(\mathcal	ADJ
bracis-33597	185	7	{	{	PUNCT
bracis-33597	185	8	l}(a	l}(a	PROPN
bracis-33597	185	9	)	)	PUNCT
bracis-33597	185	10	=	=	SYM
bracis-33597	185	11	\texttt{in}\	\texttt{in}\	NOUN
bracis-33597	185	12	)	)	PUNCT
bracis-33597	185	13	\(\rightarrow	\(\rightarrow	NOUN
bracis-33597	185	14	\	\	ADJ
bracis-33597	185	15	)	)	PUNCT
bracis-33597	185	16	\(\mathcal	\(\mathcal	ADJ
bracis-33597	185	17	{	{	PUNCT
bracis-33597	185	18	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	185	19	{	{	PUNCT
bracis-33597	185	20	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	185	21	{	{	PUNCT
bracis-33597	185	22	l})(\texttt{conc}(a	l})(\texttt{conc}(a	NOUN
bracis-33597	185	23	)	)	PUNCT
bracis-33597	185	24	)	)	PUNCT
bracis-33597	186	1	=	=	SYM
bracis-33597	186	2	\textbf{t}\	\textbf{t}\	X
bracis-33597	186	3	)	)	PUNCT
bracis-33597	186	4	\(\rightarrow	\(\rightarrow	NOUN
bracis-33597	186	5	\	\	NOUN
bracis-33597	186	6	)	)	PUNCT
bracis-33597	186	7	\(\mathcal	\(\mathcal	ADJ
bracis-33597	186	8	{	{	PUNCT
bracis-33597	186	9	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	186	10	{	{	PUNCT
bracis-33597	186	11	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	186	12	{	{	PUNCT
bracis-33597	186	13	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	186	14	{	{	PUNCT
bracis-33597	186	15	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	186	16	{	{	PUNCT
bracis-33597	186	17	l}))(a	l}))(a	PROPN
bracis-33597	186	18	)	)	PUNCT
bracis-33597	186	19	=	=	SYM
bracis-33597	186	20	\texttt{in}\	\texttt{in}\	NOUN
bracis-33597	186	21	)	)	PUNCT
bracis-33597	186	22	;	;	PUNCT
bracis-33597	186	23	\(\mathcal	\(\mathcal	X
bracis-33597	186	24	{	{	PUNCT
bracis-33597	186	25	l}(a	l}(a	PROPN
bracis-33597	186	26	)	)	PUNCT
bracis-33597	186	27	=	=	PUNCT
bracis-33597	186	28	\texttt{out}\	\texttt{out}\	ADV
bracis-33597	186	29	)	)	PUNCT
bracis-33597	186	30	\(\rightarrow	\(\rightarrow	NOUN
bracis-33597	186	31	\	\	PROPN
bracis-33597	186	32	)	)	PUNCT
bracis-33597	186	33	(	(	PUNCT
bracis-33597	186	34	theorem	theorem	VERB
bracis-33597	186	35	1	1	NUM
bracis-33597	186	36	)	)	PUNCT
bracis-33597	186	37	\(\mathcal	\(\mathcal	ADJ
bracis-33597	186	38	{	{	PUNCT
bracis-33597	186	39	l}(a	l}(a	PROPN
bracis-33597	186	40	'	'	PUNCT
bracis-33597	186	41	)	)	PUNCT
bracis-33597	186	42	=	=	PUNCT
bracis-33597	186	43	\texttt{out}\	\texttt{out}\	ADV
bracis-33597	186	44	)	)	PUNCT
bracis-33597	186	45	for	for	ADP
bracis-33597	186	46	every	every	DET
bracis-33597	186	47	\(a	\(a	NOUN
bracis-33597	186	48	'	'	PART
bracis-33597	186	49	\in	\in	PROPN
bracis-33597	186	50	\mathcal	\mathcal	PROPN
bracis-33597	186	51	{	{	PUNCT
bracis-33597	186	52	a}_p\	a}_p\	NOUN
bracis-33597	186	53	)	)	PUNCT
bracis-33597	186	54	such	such	ADJ
bracis-33597	186	55	that	that	PRON
bracis-33597	186	56	\(\texttt{conc}(a	\(\texttt{conc}(a	PROPN
bracis-33597	186	57	'	'	PUNCT
bracis-33597	186	58	)	)	PUNCT
bracis-33597	186	59	=	=	SYM
bracis-33597	186	60	\texttt{conc}(a)\	\texttt{conc}(a)\	PROPN
bracis-33597	186	61	)	)	PUNCT
bracis-33597	186	62	\(\rightarrow	\(\rightarrow	NOUN
bracis-33597	186	63	\	\	NOUN
bracis-33597	186	64	)	)	PUNCT
bracis-33597	186	65	\(\mathcal	\(\mathcal	ADJ
bracis-33597	186	66	{	{	PUNCT
bracis-33597	186	67	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	186	68	{	{	PUNCT
bracis-33597	186	69	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	186	70	l)(\texttt{conc}(a	l)(\texttt{conc}(a	NOUN
bracis-33597	186	71	)	)	PUNCT
bracis-33597	186	72	)	)	PUNCT
bracis-33597	187	1	=	=	SYM
bracis-33597	187	2	\textbf{f}\	\textbf{f}\	X
bracis-33597	187	3	)	)	PUNCT
bracis-33597	187	4	\(\rightarrow	\(\rightarrow	NOUN
bracis-33597	187	5	\	\	NOUN
bracis-33597	187	6	)	)	PUNCT
bracis-33597	187	7	\(\mathcal	\(\mathcal	ADJ
bracis-33597	187	8	{	{	PUNCT
bracis-33597	187	9	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	187	10	{	{	PUNCT
bracis-33597	187	11	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	187	12	{	{	PUNCT
bracis-33597	187	13	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	187	14	{	{	PUNCT
bracis-33597	187	15	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	187	16	{	{	PUNCT
bracis-33597	187	17	l}))(a	l}))(a	PROPN
bracis-33597	187	18	)	)	PUNCT
bracis-33597	187	19	=	=	PUNCT
bracis-33597	187	20	\texttt{out}\	\texttt{out}\	ADV
bracis-33597	187	21	)	)	PUNCT
bracis-33597	187	22	;	;	PUNCT
bracis-33597	187	23	\(\mathcal	\(\mathcal	X
bracis-33597	187	24	{	{	PUNCT
bracis-33597	187	25	l}(a	l}(a	PROPN
bracis-33597	187	26	)	)	PUNCT
bracis-33597	187	27	=	=	PUNCT
bracis-33597	187	28	\texttt{undec}\	\texttt{undec}\	X
bracis-33597	187	29	)	)	PUNCT
bracis-33597	187	30	\(\rightarrow	\(\rightarrow	NOUN
bracis-33597	187	31	\	\	ADJ
bracis-33597	187	32	)	)	PUNCT
bracis-33597	187	33	(	(	PUNCT
bracis-33597	187	34	theorem	theorem	VERB
bracis-33597	187	35	1	1	NUM
bracis-33597	187	36	)	)	PUNCT
bracis-33597	187	37	\(\mathcal	\(\mathcal	ADJ
bracis-33597	187	38	{	{	PUNCT
bracis-33597	187	39	l}(a	l}(a	PROPN
bracis-33597	187	40	'	'	PUNCT
bracis-33597	187	41	)	)	PUNCT
bracis-33597	187	42	=	=	PUNCT
bracis-33597	187	43	\texttt{undec}\	\texttt{undec}\	ADJ
bracis-33597	187	44	)	)	PUNCT
bracis-33597	187	45	for	for	ADP
bracis-33597	187	46	every	every	DET
bracis-33597	187	47	\(a	\(a	NOUN
bracis-33597	187	48	'	'	PART
bracis-33597	187	49	\in	\in	PROPN
bracis-33597	187	50	\mathcal	\mathcal	PROPN
bracis-33597	187	51	{	{	PUNCT
bracis-33597	187	52	a}_p\	a}_p\	NOUN
bracis-33597	187	53	)	)	PUNCT
bracis-33597	187	54	such	such	ADJ
bracis-33597	187	55	that	that	PRON
bracis-33597	187	56	\(\texttt{conc}(a	\(\texttt{conc}(a	PROPN
bracis-33597	187	57	'	'	PUNCT
bracis-33597	187	58	)	)	PUNCT
bracis-33597	187	59	=	=	SYM
bracis-33597	187	60	\texttt{conc}(a)\	\texttt{conc}(a)\	PROPN
bracis-33597	187	61	)	)	PUNCT
bracis-33597	187	62	\(\rightarrow	\(\rightarrow	NOUN
bracis-33597	187	63	\	\	NOUN
bracis-33597	187	64	)	)	PUNCT
bracis-33597	187	65	\(\mathcal	\(\mathcal	ADJ
bracis-33597	187	66	{	{	PUNCT
bracis-33597	187	67	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	187	68	{	{	PUNCT
bracis-33597	187	69	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	187	70	l)(\texttt{conc}(a	l)(\texttt{conc}(a	NOUN
bracis-33597	187	71	)	)	PUNCT
bracis-33597	187	72	)	)	PUNCT
bracis-33597	188	1	=	=	SYM
bracis-33597	188	2	\textbf{u}\	\textbf{u}\	NOUN
bracis-33597	188	3	)	)	PUNCT
bracis-33597	188	4	\(\rightarrow	\(\rightarrow	NOUN
bracis-33597	188	5	\	\	NOUN
bracis-33597	188	6	)	)	PUNCT
bracis-33597	188	7	\(\mathcal	\(\mathcal	ADJ
bracis-33597	188	8	{	{	PUNCT
bracis-33597	188	9	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	188	10	{	{	PUNCT
bracis-33597	188	11	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	188	12	{	{	PUNCT
bracis-33597	188	13	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	188	14	{	{	PUNCT
bracis-33597	188	15	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	188	16	{	{	PUNCT
bracis-33597	188	17	l}))(a	l}))(a	PROPN
bracis-33597	188	18	)	)	PUNCT
bracis-33597	188	19	=	=	PRON
bracis-33597	188	20	\texttt{undec}\	\texttt{undec}\	ADJ
bracis-33597	188	21	)	)	PUNCT
bracis-33597	188	22	.	.	PUNCT
bracis-33597	189	1	in	in	ADP
bracis-33597	189	2	general	general	ADJ
bracis-33597	189	3	,	,	PUNCT
bracis-33597	189	4	\(\mathcal	\(\mathcal	ADJ
bracis-33597	189	5	{	{	PUNCT
bracis-33597	189	6	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	189	7	{	{	PUNCT
bracis-33597	189	8	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	189	9	{	{	PUNCT
bracis-33597	189	10	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	189	11	{	{	PUNCT
bracis-33597	189	12	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	189	13	{	{	PUNCT
bracis-33597	189	14	i}))\	i}))\	NOUN
bracis-33597	189	15	)	)	PUNCT
bracis-33597	189	16	is	be	AUX
bracis-33597	189	17	not	not	PART
bracis-33597	189	18	equal	equal	ADJ
bracis-33597	189	19	to	to	ADP
bracis-33597	189	20	\(\mathcal	\(\mathcal	ADJ
bracis-33597	189	21	{	{	PUNCT
bracis-33597	189	22	i}\	i}\	NUM
bracis-33597	189	23	)	)	PUNCT
bracis-33597	189	24	.	.	PUNCT
bracis-33597	190	1	consider	consider	VERB
bracis-33597	190	2	an	an	DET
bracis-33597	190	3	atom	atom	NOUN
bracis-33597	190	4	\(c	\(c	ADJ
bracis-33597	190	5	\in	\in	PROPN
bracis-33597	190	6	hb	hb	NOUN
bracis-33597	190	7	_	_	PUNCT
bracis-33597	190	8	p\	p\	NOUN
bracis-33597	190	9	)	)	PUNCT
bracis-33597	190	10	that	that	PRON
bracis-33597	190	11	is	be	AUX
bracis-33597	190	12	not	not	PART
bracis-33597	190	13	the	the	DET
bracis-33597	190	14	conclusion	conclusion	NOUN
bracis-33597	190	15	of	of	ADP
bracis-33597	190	16	any	any	DET
bracis-33597	190	17	argument	argument	NOUN
bracis-33597	190	18	in	in	ADP
bracis-33597	190	19	\(\mathcal	\(\mathcal	ADJ
bracis-33597	190	20	{	{	PUNCT
bracis-33597	190	21	a}_p\	a}_p\	NOUN
bracis-33597	190	22	)	)	PUNCT
bracis-33597	190	23	.	.	PUNCT
bracis-33597	191	1	then	then	ADV
bracis-33597	191	2	,	,	PUNCT
bracis-33597	191	3	\(\mathcal	\(\mathcal	ADJ
bracis-33597	191	4	{	{	PUNCT
bracis-33597	191	5	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	191	6	{	{	PUNCT
bracis-33597	191	7	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	191	8	{	{	PUNCT
bracis-33597	191	9	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	191	10	{	{	PUNCT
bracis-33597	191	11	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	191	12	{	{	PUNCT
bracis-33597	191	13	i}))(c	i}))(c	PROPN
bracis-33597	191	14	)	)	PUNCT
bracis-33597	191	15	=	=	PUNCT
bracis-33597	191	16	\textbf{f}\	\textbf{f}\	X
bracis-33597	191	17	)	)	PUNCT
bracis-33597	191	18	,	,	PUNCT
bracis-33597	191	19	but	but	CCONJ
bracis-33597	191	20	\(\mathcal	\(\mathcal	ADJ
bracis-33597	191	21	{	{	PUNCT
bracis-33597	191	22	i}\	i}\	NOUN
bracis-33597	191	23	)	)	PUNCT
bracis-33597	191	24	may	may	AUX
bracis-33597	191	25	assign	assign	VERB
bracis-33597	191	26	any	any	DET
bracis-33597	191	27	truth	truth	NOUN
bracis-33597	191	28	value	value	NOUN
bracis-33597	191	29	to	to	ADP
bracis-33597	191	30	c.	c.	PROPN
bracis-33597	191	31	however	however	ADV
bracis-33597	191	32	,	,	PUNCT
bracis-33597	191	33	atom	atom	PROPN
bracis-33597	191	34	c	c	PROPN
bracis-33597	191	35	is	be	AUX
bracis-33597	191	36	evaluated	evaluate	VERB
bracis-33597	191	37	as	as	ADP
bracis-33597	191	38	false	false	ADJ
bracis-33597	191	39	in	in	ADP
bracis-33597	191	40	any	any	DET
bracis-33597	191	41	partial	partial	ADJ
bracis-33597	191	42	stable	stable	ADJ
bracis-33597	191	43	model	model	NOUN
bracis-33597	191	44	.	.	PUNCT
bracis-33597	192	1	we	we	PRON
bracis-33597	192	2	obtain	obtain	VERB
bracis-33597	192	3	the	the	DET
bracis-33597	192	4	following	following	ADJ
bracis-33597	192	5	result	result	NOUN
bracis-33597	192	6	:	:	PUNCT
bracis-33597	192	7	theorem	theorem	VERB
bracis-33597	192	8	3	3	NUM
bracis-33597	192	9	let	let	VERB
bracis-33597	192	10	\(\mathcal	\(\mathcal	ADJ
bracis-33597	192	11	{	{	PUNCT
bracis-33597	192	12	b}_p	b}_p	NUM
bracis-33597	192	13	=	=	SYM
bracis-33597	192	14	(	(	PUNCT
bracis-33597	192	15	\mathcal	\mathcal	X
bracis-33597	192	16	{	{	PUNCT
bracis-33597	192	17	a}_p	a}_p	PROPN
bracis-33597	192	18	,	,	PUNCT
bracis-33597	192	19	att	att	PROPN
bracis-33597	192	20	_	_	PUNCT
bracis-33597	192	21	p)\	p)\	NOUN
bracis-33597	192	22	)	)	PUNCT
bracis-33597	192	23	be	be	VERB
bracis-33597	192	24	the	the	DET
bracis-33597	192	25	corresponding	corresponding	ADJ
bracis-33597	192	26	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	192	27	)	)	PUNCT
bracis-33597	192	28	of	of	ADP
bracis-33597	192	29	p	p	NOUN
bracis-33597	192	30	and	and	CCONJ
bracis-33597	192	31	\(\mathcal	\(\mathcal	ADJ
bracis-33597	192	32	m\	m\	NOUN
bracis-33597	192	33	)	)	PUNCT
bracis-33597	192	34	be	be	VERB
bracis-33597	192	35	a	a	DET
bracis-33597	192	36	partial	partial	ADJ
bracis-33597	192	37	stable	stable	ADJ
bracis-33597	192	38	model	model	NOUN
bracis-33597	192	39	of	of	ADP
bracis-33597	192	40	p.	p.	NOUN
bracis-33597	192	41	it	it	PRON
bracis-33597	192	42	holds	hold	VERB
bracis-33597	192	43	that	that	SCONJ
bracis-33597	192	44	\(\mathcal	\(\mathcal	ADJ
bracis-33597	192	45	{	{	PUNCT
bracis-33597	192	46	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	192	47	{	{	PUNCT
bracis-33597	192	48	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	192	49	{	{	PUNCT
bracis-33597	192	50	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	192	51	{	{	PUNCT
bracis-33597	192	52	l}_p(\mathcal	l}_p(\mathcal	PROPN
bracis-33597	192	53	m	m	NOUN
bracis-33597	192	54	)	)	PUNCT
bracis-33597	192	55	)	)	PUNCT
bracis-33597	193	1	=	=	PUNCT
bracis-33597	194	1	\mathcal	\mathcal	ADJ
bracis-33597	194	2	m\	m\	NOUN
bracis-33597	194	3	)	)	PUNCT
bracis-33597	194	4	.	.	PUNCT
bracis-33597	195	1	proof	proof	NOUN
bracis-33597	195	2	let	let	VERB
bracis-33597	195	3	\(\mathcal	\(\mathcal	ADJ
bracis-33597	195	4	m\	m\	NOUN
bracis-33597	195	5	)	)	PUNCT
bracis-33597	195	6	be	be	AUX
bracis-33597	195	7	a	a	DET
bracis-33597	195	8	partial	partial	ADJ
bracis-33597	195	9	stable	stable	ADJ
bracis-33597	195	10	model	model	NOUN
bracis-33597	195	11	of	of	ADP
bracis-33597	195	12	p	p	PROPN
bracis-33597	195	13	and	and	CCONJ
bracis-33597	195	14	\(c	\(c	ADJ
bracis-33597	195	15	\in	\in	PROPN
bracis-33597	195	16	hb	hb	NOUN
bracis-33597	195	17	_	_	NOUN
bracis-33597	195	18	p\	p\	NOUN
bracis-33597	195	19	)	)	PUNCT
bracis-33597	195	20	.	.	PUNCT
bracis-33597	196	1	it	it	PRON
bracis-33597	196	2	suffices	suffice	VERB
bracis-33597	196	3	to	to	PART
bracis-33597	196	4	prove	prove	VERB
bracis-33597	196	5	the	the	DET
bracis-33597	196	6	following	follow	VERB
bracis-33597	196	7	results	result	NOUN
bracis-33597	196	8	:	:	PUNCT
bracis-33597	196	9	\(\mathcal	\(\mathcal	ADJ
bracis-33597	196	10	m(c	m(c	PROPN
bracis-33597	196	11	)	)	PUNCT
bracis-33597	196	12	=	=	SYM
bracis-33597	197	1	\textbf{t}\	\textbf{t}\	X
bracis-33597	197	2	)	)	PUNCT
bracis-33597	197	3	iff	iff	PROPN
bracis-33597	197	4	\(\mathcal	\(\mathcal	ADJ
bracis-33597	197	5	{	{	PUNCT
bracis-33597	197	6	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	197	7	{	{	PUNCT
bracis-33597	197	8	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	197	9	{	{	PUNCT
bracis-33597	197	10	i}2\mathcal	i}2\mathcal	ADJ
bracis-33597	197	11	{	{	PUNCT
bracis-33597	197	12	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	197	13	m))(c	m))(c	NOUN
bracis-33597	197	14	)	)	PUNCT
bracis-33597	197	15	=	=	PUNCT
bracis-33597	197	16	\textbf{t}\	\textbf{t}\	NUM
bracis-33597	197	17	)	)	PUNCT
bracis-33597	197	18	.	.	PUNCT
bracis-33597	198	1	(	(	PUNCT
bracis-33597	198	2	\(\rightarrow	\(\rightarrow	NOUN
bracis-33597	198	3	\	\	ADJ
bracis-33597	198	4	)	)	PUNCT
bracis-33597	198	5	)	)	PUNCT
bracis-33597	199	1	assume	assume	VERB
bracis-33597	199	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	199	3	m(c	m(c	PROPN
bracis-33597	199	4	)	)	PUNCT
bracis-33597	199	5	=	=	PUNCT
bracis-33597	199	6	\textbf{t}\	\textbf{t}\	NUM
bracis-33597	199	7	)	)	PUNCT
bracis-33597	199	8	.	.	PUNCT
bracis-33597	200	1	as	as	ADP
bracis-33597	200	2	\(\varpsi	\(\varpsi	NOUN
bracis-33597	200	3	_	_	PUNCT
bracis-33597	200	4	p(\mathcal	p(\mathcal	ADP
bracis-33597	200	5	m	m	PROPN
bracis-33597	200	6	)	)	PUNCT
bracis-33597	200	7	=	=	PUNCT
bracis-33597	200	8	\mathcal	\mathcal	ADJ
bracis-33597	200	9	m\	m\	NOUN
bracis-33597	200	10	)	)	PUNCT
bracis-33597	200	11	,	,	PUNCT
bracis-33597	200	12	there	there	PRON
bracis-33597	200	13	exists	exist	VERB
bracis-33597	200	14	an	an	DET
bracis-33597	200	15	argument	argument	NOUN
bracis-33597	200	16	a	a	DET
bracis-33597	200	17	with	with	ADP
bracis-33597	200	18	\(\texttt{conc}(a	\(\texttt{conc}(a	NUM
bracis-33597	200	19	)	)	PUNCT
bracis-33597	200	20	=	=	SYM
bracis-33597	200	21	c\	c\	NOUN
bracis-33597	200	22	)	)	PUNCT
bracis-33597	200	23	such	such	ADJ
bracis-33597	200	24	that	that	SCONJ
bracis-33597	200	25	\(\texttt{vul}(a	\(\texttt{vul}(a	PROPN
bracis-33597	200	26	)	)	PUNCT
bracis-33597	200	27	\subseteq	\subseteq	PROPN
bracis-33597	200	28	\textbf{f}(\mathcal	\textbf{f}(\mathcal	ADJ
bracis-33597	200	29	m)\	m)\	NOUN
bracis-33597	200	30	)	)	PUNCT
bracis-33597	200	31	.	.	PUNCT
bracis-33597	201	1	this	this	PRON
bracis-33597	201	2	implies	imply	VERB
bracis-33597	201	3	\(\mathcal	\(\mathcal	ADJ
bracis-33597	201	4	{	{	PUNCT
bracis-33597	201	5	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	201	6	{	{	PUNCT
bracis-33597	201	7	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	201	8	m)(a	m)(a	PROPN
bracis-33597	201	9	)	)	PUNCT
bracis-33597	201	10	=	=	SYM
bracis-33597	201	11	\texttt{in}\	\texttt{in}\	NOUN
bracis-33597	201	12	)	)	PUNCT
bracis-33597	201	13	and	and	CCONJ
bracis-33597	201	14	\(\mathcal	\(\mathcal	ADJ
bracis-33597	201	15	{	{	PUNCT
bracis-33597	201	16	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	201	17	{	{	PUNCT
bracis-33597	201	18	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	201	19	{	{	PUNCT
bracis-33597	201	20	i}2\mathcal	i}2\mathcal	ADJ
bracis-33597	201	21	{	{	PUNCT
bracis-33597	201	22	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	201	23	m))(c	m))(c	NOUN
bracis-33597	201	24	)	)	PUNCT
bracis-33597	201	25	=	=	PUNCT
bracis-33597	201	26	\textbf{t}\	\textbf{t}\	NUM
bracis-33597	201	27	)	)	PUNCT
bracis-33597	201	28	.	.	PUNCT
bracis-33597	202	1	(	(	PUNCT
bracis-33597	202	2	\(\leftarrow	\(\leftarrow	NOUN
bracis-33597	202	3	\	\	PROPN
bracis-33597	202	4	)	)	PUNCT
bracis-33597	202	5	)	)	PUNCT
bracis-33597	203	1	assume	assume	VERB
bracis-33597	203	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	203	3	{	{	PUNCT
bracis-33597	203	4	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	203	5	{	{	PUNCT
bracis-33597	203	6	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	203	7	{	{	PUNCT
bracis-33597	203	8	i}2\mathcal	i}2\mathcal	ADJ
bracis-33597	203	9	{	{	PUNCT
bracis-33597	203	10	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	203	11	m))(c	m))(c	NOUN
bracis-33597	203	12	)	)	PUNCT
bracis-33597	203	13	=	=	PUNCT
bracis-33597	203	14	\textbf{t}\	\textbf{t}\	NUM
bracis-33597	203	15	)	)	PUNCT
bracis-33597	203	16	.	.	PUNCT
bracis-33597	204	1	then	then	ADV
bracis-33597	204	2	there	there	PRON
bracis-33597	204	3	exists	exist	VERB
bracis-33597	204	4	\(a	\(a	PROPN
bracis-33597	204	5	\in	\in	PROPN
bracis-33597	204	6	\mathcal	\mathcal	PROPN
bracis-33597	204	7	{	{	PUNCT
bracis-33597	204	8	a}_p\	a}_p\	NOUN
bracis-33597	204	9	)	)	PUNCT
bracis-33597	204	10	such	such	ADJ
bracis-33597	204	11	that	that	PRON
bracis-33597	204	12	\(\texttt{conc}(a	\(\texttt{conc}(a	PROPN
bracis-33597	204	13	)	)	PUNCT
bracis-33597	204	14	=	=	SYM
bracis-33597	204	15	c\	c\	NOUN
bracis-33597	204	16	)	)	PUNCT
bracis-33597	204	17	and	and	CCONJ
bracis-33597	204	18	\(\mathcal	\(\mathcal	ADJ
bracis-33597	204	19	{	{	PUNCT
bracis-33597	204	20	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	204	21	{	{	PUNCT
bracis-33597	204	22	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	204	23	m)(a	m)(a	PROPN
bracis-33597	204	24	)	)	PUNCT
bracis-33597	204	25	=	=	SYM
bracis-33597	204	26	\texttt{in}\	\texttt{in}\	NOUN
bracis-33597	204	27	)	)	PUNCT
bracis-33597	204	28	.	.	PUNCT
bracis-33597	205	1	from	from	ADP
bracis-33597	205	2	definition	definition	NOUN
bracis-33597	205	3	11	11	NUM
bracis-33597	205	4	,	,	PUNCT
bracis-33597	205	5	\(\mathcal	\(\mathcal	ADJ
bracis-33597	205	6	m(c	m(c	PROPN
bracis-33597	205	7	)	)	PUNCT
bracis-33597	205	8	=	=	PUNCT
bracis-33597	205	9	\textbf{t}\	\textbf{t}\	NUM
bracis-33597	205	10	)	)	PUNCT
bracis-33597	205	11	.	.	PUNCT
bracis-33597	206	1	\(\mathcal	\(\mathcal	PROPN
bracis-33597	206	2	m(c	m(c	PROPN
bracis-33597	206	3	)	)	PUNCT
bracis-33597	206	4	=	=	SYM
bracis-33597	206	5	\textbf{f}\	\textbf{f}\	X
bracis-33597	206	6	)	)	PUNCT
bracis-33597	206	7	iff	iff	PROPN
bracis-33597	206	8	\(\mathcal	\(\mathcal	ADJ
bracis-33597	206	9	{	{	PUNCT
bracis-33597	206	10	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	206	11	{	{	PUNCT
bracis-33597	206	12	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	206	13	{	{	PUNCT
bracis-33597	206	14	i}2\mathcal	i}2\mathcal	ADJ
bracis-33597	206	15	{	{	PUNCT
bracis-33597	206	16	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	206	17	m))(c	m))(c	NOUN
bracis-33597	206	18	)	)	PUNCT
bracis-33597	206	19	=	=	PUNCT
bracis-33597	206	20	\textbf{f}\	\textbf{f}\	X
bracis-33597	206	21	)	)	PUNCT
bracis-33597	206	22	,	,	PUNCT
bracis-33597	206	23	which	which	PRON
bracis-33597	206	24	can	can	AUX
bracis-33597	206	25	be	be	AUX
bracis-33597	206	26	similarly	similarly	ADV
bracis-33597	206	27	proved	prove	VERB
bracis-33597	206	28	.	.	PUNCT
bracis-33597	207	1	this	this	PRON
bracis-33597	207	2	means	mean	VERB
bracis-33597	207	3	that	that	SCONJ
bracis-33597	207	4	when	when	SCONJ
bracis-33597	207	5	restricted	restrict	VERB
bracis-33597	207	6	to	to	ADP
bracis-33597	207	7	\(\beta	\(\beta	PROPN
bracis-33597	207	8	\)-complete	\)-complete	NUM
bracis-33597	207	9	labellings	labelling	NOUN
bracis-33597	207	10	and	and	CCONJ
bracis-33597	207	11	partial	partial	ADJ
bracis-33597	207	12	stable	stable	ADJ
bracis-33597	207	13	models	model	NOUN
bracis-33597	207	14	,	,	PUNCT
bracis-33597	207	15	\(\mathcal	\(\mathcal	ADJ
bracis-33597	207	16	{	{	PUNCT
bracis-33597	207	17	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	207	18	{	{	PUNCT
bracis-33597	207	19	i}_p\	i}_p\	NOUN
bracis-33597	207	20	)	)	PUNCT
bracis-33597	207	21	and	and	CCONJ
bracis-33597	207	22	\(\mathcal	\(\mathcal	ADJ
bracis-33597	207	23	{	{	PUNCT
bracis-33597	207	24	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	207	25	{	{	PUNCT
bracis-33597	207	26	l}_p\	l}_p\	NOUN
bracis-33597	207	27	)	)	PUNCT
bracis-33597	207	28	are	be	AUX
bracis-33597	207	29	each	each	DET
bracis-33597	207	30	other	other	ADJ
bracis-33597	207	31	’s	’s	PART
bracis-33597	207	32	inverse	inverse	NOUN
bracis-33597	207	33	.	.	PUNCT
bracis-33597	208	1	the	the	DET
bracis-33597	208	2	function	function	NOUN
bracis-33597	208	3	\(\mathcal	\(\mathcal	ADJ
bracis-33597	208	4	{	{	PUNCT
bracis-33597	208	5	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	208	6	{	{	PUNCT
bracis-33597	208	7	i}_p\	i}_p\	NOUN
bracis-33597	208	8	)	)	PUNCT
bracis-33597	208	9	when	when	SCONJ
bracis-33597	208	10	applied	apply	VERB
bracis-33597	208	11	to	to	ADP
bracis-33597	208	12	\(\beta	\(\beta	PROPN
bracis-33597	208	13	\)-complete	\)-complete	NUM
bracis-33597	208	14	labellings	labelling	NOUN
bracis-33597	208	15	can	can	AUX
bracis-33597	208	16	be	be	AUX
bracis-33597	208	17	characterised	characterise	VERB
bracis-33597	208	18	as	as	SCONJ
bracis-33597	208	19	follows	follow	VERB
bracis-33597	208	20	:	:	PUNCT
bracis-33597	209	1	$	$	SYM
bracis-33597	209	2	$	$	SYM
bracis-33597	209	3	\mathcal	\mathcal	PROPN
bracis-33597	209	4	{	{	PUNCT
bracis-33597	209	5	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	209	6	{	{	PUNCT
bracis-33597	209	7	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	209	8	{	{	PUNCT
bracis-33597	209	9	l})(c	l})(c	PROPN
bracis-33597	209	10	)	)	PUNCT
bracis-33597	209	11	=	=	SYM
bracis-33597	209	12	\left\	\left\	PROPN
bracis-33597	209	13	{	{	PUNCT
bracis-33597	209	14	\begin{array}{lcl	\begin{array}{lcl	ADJ
bracis-33597	209	15	}	}	PUNCT
bracis-33597	209	16	\textbf{t	\textbf{t	ADJ
bracis-33597	209	17	}	}	PUNCT
bracis-33597	209	18	&	&	CCONJ
bracis-33597	209	19	&	&	CCONJ
bracis-33597	209	20	\textit{if	\textit{if	PROPN
bracis-33597	209	21	}	}	PUNCT
bracis-33597	209	22	\exists	\exist	VERB
bracis-33597	209	23	a	a	DET
bracis-33597	209	24	\in	\in	PROPN
bracis-33597	209	25	\mathcal	\mathcal	PROPN
bracis-33597	209	26	{	{	PUNCT
bracis-33597	209	27	a}_p	a}_p	NUM
bracis-33597	209	28	\textit	\textit	NOUN
bracis-33597	209	29	{	{	PUNCT
bracis-33597	209	30	such	such	ADJ
bracis-33597	209	31	that	that	SCONJ
bracis-33597	209	32	}	}	PUNCT
bracis-33597	209	33	\texttt{conc}(a	\texttt{conc}(a	ADP
bracis-33597	209	34	)	)	PUNCT
bracis-33597	209	35	=	=	SYM
bracis-33597	210	1	c	c	PROPN
bracis-33597	210	2	\textit	\textit	NOUN
bracis-33597	210	3	{	{	PUNCT
bracis-33597	210	4	and	and	CCONJ
bracis-33597	210	5	}	}	PUNCT
bracis-33597	210	6	\mathcal	\mathcal	ADJ
bracis-33597	210	7	{	{	PUNCT
bracis-33597	210	8	l}(a	l}(a	PROPN
bracis-33597	210	9	)	)	PUNCT
bracis-33597	210	10	=	=	VERB
bracis-33597	210	11	\texttt{in}\\	\texttt{in}\\	ADJ
bracis-33597	210	12	\textbf{u	\textbf{u	ADJ
bracis-33597	210	13	}	}	PUNCT
bracis-33597	210	14	&	&	CCONJ
bracis-33597	210	15	&	&	CCONJ
bracis-33597	210	16	\textit{if	\textit{if	PROPN
bracis-33597	210	17	}	}	PUNCT
bracis-33597	210	18	\exists	\exist	VERB
bracis-33597	210	19	a	a	DET
bracis-33597	210	20	\in	\in	PROPN
bracis-33597	210	21	\mathcal	\mathcal	PROPN
bracis-33597	210	22	{	{	PUNCT
bracis-33597	210	23	a}_p	a}_p	NUM
bracis-33597	210	24	\textit	\textit	NOUN
bracis-33597	210	25	{	{	PUNCT
bracis-33597	210	26	such	such	ADJ
bracis-33597	210	27	that	that	SCONJ
bracis-33597	210	28	}	}	PUNCT
bracis-33597	210	29	\texttt{conc}(a	\texttt{conc}(a	ADP
bracis-33597	210	30	)	)	PUNCT
bracis-33597	210	31	=	=	SYM
bracis-33597	211	1	c	c	PROPN
bracis-33597	211	2	\textit	\textit	NOUN
bracis-33597	211	3	{	{	PUNCT
bracis-33597	211	4	and	and	CCONJ
bracis-33597	211	5	}	}	PUNCT
bracis-33597	211	6	\mathcal	\mathcal	ADJ
bracis-33597	211	7	{	{	PUNCT
bracis-33597	211	8	l}(a	l}(a	PROPN
bracis-33597	211	9	)	)	PUNCT
bracis-33597	211	10	=	=	PUNCT
bracis-33597	212	1	\texttt{undec}\\	\texttt{undec}\\	NUM
bracis-33597	212	2	\textbf{f	\textbf{f	NOUN
bracis-33597	212	3	}	}	PUNCT
bracis-33597	212	4	&	&	CCONJ
bracis-33597	212	5	&	&	CCONJ
bracis-33597	212	6	\textit{otherwise	\textit{otherwise	PROPN
bracis-33597	212	7	}	}	PUNCT
bracis-33597	212	8	\end{array	\end{array	ADJ
bracis-33597	212	9	}	}	PUNCT
bracis-33597	212	10	\right	\right	PROPN
bracis-33597	212	11	.	.	PROPN
bracis-33597	212	12	$	$	SYM
bracis-33597	212	13	$	$	NOUN
bracis-33597	212	14	it	it	PRON
bracis-33597	212	15	is	be	AUX
bracis-33597	212	16	clear	clear	ADJ
bracis-33597	212	17	the	the	DET
bracis-33597	212	18	relation	relation	NOUN
bracis-33597	212	19	between	between	ADP
bracis-33597	212	20	a	a	DET
bracis-33597	212	21	\(\beta	\(\beta	NOUN
bracis-33597	212	22	\)-complete	\)-complete	NOUN
bracis-33597	212	23	labelling	labelling	NOUN
bracis-33597	212	24	\(\mathcal	\(\mathcal	ADJ
bracis-33597	212	25	{	{	PUNCT
bracis-33597	212	26	l}\	l}\	PROPN
bracis-33597	212	27	)	)	PUNCT
bracis-33597	212	28	and	and	CCONJ
bracis-33597	212	29	\(\mathcal	\(\mathcal	ADJ
bracis-33597	212	30	{	{	PUNCT
bracis-33597	212	31	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	212	32	{	{	PUNCT
bracis-33597	212	33	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	212	34	{	{	PUNCT
bracis-33597	212	35	l})\	l})\	X
bracis-33597	212	36	)	)	PUNCT
bracis-33597	212	37	for	for	ADP
bracis-33597	212	38	those	those	DET
bracis-33597	212	39	atoms	atom	NOUN
bracis-33597	212	40	\(c	\(c	ADJ
bracis-33597	212	41	\in	\in	PROPN
bracis-33597	212	42	hb	hb	NOUN
bracis-33597	212	43	_	_	PUNCT
bracis-33597	212	44	p\	p\	NOUN
bracis-33597	212	45	)	)	PUNCT
bracis-33597	212	46	in	in	ADP
bracis-33597	212	47	which	which	PRON
bracis-33597	212	48	there	there	PRON
bracis-33597	212	49	is	be	VERB
bracis-33597	212	50	an	an	DET
bracis-33597	212	51	argument	argument	NOUN
bracis-33597	212	52	a	a	PRON
bracis-33597	212	53	with	with	ADP
bracis-33597	212	54	\(\texttt{conc}(a	\(\texttt{conc}(a	NUM
bracis-33597	212	55	)	)	PUNCT
bracis-33597	212	56	=	=	SYM
bracis-33597	212	57	c\	c\	NOUN
bracis-33597	212	58	)	)	PUNCT
bracis-33597	212	59	.	.	PUNCT
bracis-33597	213	1	the	the	DET
bracis-33597	213	2	distinction	distinction	NOUN
bracis-33597	213	3	between	between	ADP
bracis-33597	213	4	them	they	PRON
bracis-33597	213	5	is	be	AUX
bracis-33597	213	6	for	for	ADP
bracis-33597	213	7	those	those	DET
bracis-33597	213	8	atoms	atom	NOUN
bracis-33597	213	9	\(c	\(c	NOUN
bracis-33597	213	10	'	'	PUNCT
bracis-33597	213	11	\in	\in	PROPN
bracis-33597	213	12	hb	hb	NOUN
bracis-33597	213	13	_	_	PUNCT
bracis-33597	213	14	p\	p\	NOUN
bracis-33597	213	15	)	)	PUNCT
bracis-33597	213	16	without	without	ADP
bracis-33597	213	17	a	a	DET
bracis-33597	213	18	corresponding	corresponding	ADJ
bracis-33597	213	19	argument	argument	NOUN
bracis-33597	213	20	\(a'\	\(a'\	PROPN
bracis-33597	213	21	)	)	PUNCT
bracis-33597	213	22	with	with	ADP
bracis-33597	213	23	\(\texttt{conc}(a	\(\texttt{conc}(a	PROPN
bracis-33597	213	24	'	'	PUNCT
bracis-33597	213	25	)	)	PUNCT
bracis-33597	213	26	=	=	SYM
bracis-33597	213	27	c'\	c'\	PROPN
bracis-33597	213	28	)	)	PUNCT
bracis-33597	213	29	.	.	PUNCT
bracis-33597	214	1	for	for	ADP
bracis-33597	214	2	this	this	DET
bracis-33597	214	3	case	case	NOUN
bracis-33597	214	4	,	,	PUNCT
bracis-33597	214	5	\(\mathcal	\(\mathcal	ADJ
bracis-33597	214	6	{	{	PUNCT
bracis-33597	214	7	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	214	8	{	{	PUNCT
bracis-33597	214	9	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	214	10	{	{	PUNCT
bracis-33597	214	11	l})(c	l})(c	PROPN
bracis-33597	214	12	'	'	PUNCT
bracis-33597	214	13	)	)	PUNCT
bracis-33597	214	14	=	=	SYM
bracis-33597	214	15	\textbf{f}\	\textbf{f}\	X
bracis-33597	214	16	)	)	PUNCT
bracis-33597	214	17	and	and	CCONJ
bracis-33597	214	18	\(\mathcal	\(\mathcal	ADJ
bracis-33597	214	19	{	{	PUNCT
bracis-33597	214	20	l}\	l}\	PROPN
bracis-33597	214	21	)	)	PUNCT
bracis-33597	214	22	is	be	AUX
bracis-33597	214	23	not	not	PART
bracis-33597	214	24	defined	define	VERB
bracis-33597	214	25	for	for	ADP
bracis-33597	214	26	any	any	DET
bracis-33597	214	27	argument	argument	NOUN
bracis-33597	214	28	\(a'\	\(a'\	PROPN
bracis-33597	214	29	)	)	PUNCT
bracis-33597	214	30	with	with	ADP
bracis-33597	214	31	\(\texttt{conc}(a	\(\texttt{conc}(a	PROPN
bracis-33597	214	32	'	'	PUNCT
bracis-33597	214	33	)	)	PUNCT
bracis-33597	214	34	=	=	SYM
bracis-33597	214	35	c'\	c'\	PROPN
bracis-33597	214	36	)	)	PUNCT
bracis-33597	214	37	.	.	PUNCT
bracis-33597	215	1	from	from	ADP
bracis-33597	215	2	theorems	theorem	NOUN
bracis-33597	215	3	2	2	NUM
bracis-33597	215	4	and	and	CCONJ
bracis-33597	215	5	3	3	NUM
bracis-33597	215	6	,	,	PUNCT
bracis-33597	215	7	we	we	PRON
bracis-33597	215	8	can	can	AUX
bracis-33597	215	9	obtain	obtain	VERB
bracis-33597	215	10	the	the	DET
bracis-33597	215	11	following	follow	VERB
bracis-33597	215	12	result	result	NOUN
bracis-33597	215	13	:	:	PUNCT
bracis-33597	215	14	theorem	theorem	VERB
bracis-33597	215	15	4	4	NUM
bracis-33597	215	16	let	let	VERB
bracis-33597	215	17	\(\mathcal	\(\mathcal	ADJ
bracis-33597	215	18	{	{	PUNCT
bracis-33597	215	19	b}_p\	b}_p\	NOUN
bracis-33597	215	20	)	)	PUNCT
bracis-33597	215	21	be	be	VERB
bracis-33597	215	22	the	the	DET
bracis-33597	215	23	corresponding	corresponding	ADJ
bracis-33597	215	24	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	215	25	)	)	PUNCT
bracis-33597	215	26	of	of	ADP
bracis-33597	215	27	p.	p.	NOUN
bracis-33597	215	28	it	it	PRON
bracis-33597	215	29	holds	hold	VERB
bracis-33597	215	30	\(\mathcal	\(\mathcal	ADJ
bracis-33597	215	31	{	{	PUNCT
bracis-33597	215	32	l}\	l}\	PROPN
bracis-33597	215	33	)	)	PUNCT
bracis-33597	215	34	is	be	AUX
bracis-33597	215	35	a	a	DET
bracis-33597	215	36	\(\beta	\(\beta	NOUN
bracis-33597	215	37	\)-complete	\)-complete	NOUN
bracis-33597	215	38	labelling	labelling	NOUN
bracis-33597	215	39	of	of	ADP
bracis-33597	215	40	\(\mathcal	\(\mathcal	ADJ
bracis-33597	215	41	{	{	PUNCT
bracis-33597	215	42	b}_p\	b}_p\	NOUN
bracis-33597	215	43	)	)	PUNCT
bracis-33597	216	1	iff	iff	PROPN
bracis-33597	216	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	216	3	{	{	PUNCT
bracis-33597	216	4	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	216	5	{	{	PUNCT
bracis-33597	216	6	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	216	7	{	{	PUNCT
bracis-33597	216	8	l})\	l})\	X
bracis-33597	216	9	)	)	PUNCT
bracis-33597	216	10	is	be	AUX
bracis-33597	216	11	a	a	DET
bracis-33597	216	12	partial	partial	ADJ
bracis-33597	216	13	stable	stable	ADJ
bracis-33597	216	14	model	model	NOUN
bracis-33597	216	15	of	of	ADP
bracis-33597	216	16	p	p	X
bracis-33597	216	17	;	;	PUNCT
bracis-33597	216	18	and	and	CCONJ
bracis-33597	216	19	\(\mathcal	\(\mathcal	ADJ
bracis-33597	216	20	m\	m\	NOUN
bracis-33597	216	21	)	)	PUNCT
bracis-33597	216	22	is	be	AUX
bracis-33597	216	23	a	a	DET
bracis-33597	216	24	partial	partial	ADJ
bracis-33597	216	25	stable	stable	ADJ
bracis-33597	216	26	model	model	NOUN
bracis-33597	216	27	of	of	ADP
bracis-33597	216	28	p	p	PROPN
bracis-33597	216	29	iff	iff	PROPN
bracis-33597	216	30	\(\mathcal	\(\mathcal	ADJ
bracis-33597	216	31	{	{	PUNCT
bracis-33597	216	32	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	216	33	{	{	PUNCT
bracis-33597	216	34	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	216	35	m)\	m)\	NOUN
bracis-33597	216	36	)	)	PUNCT
bracis-33597	216	37	is	be	AUX
bracis-33597	216	38	a	a	DET
bracis-33597	216	39	\(\beta	\(\beta	NOUN
bracis-33597	216	40	\)-complete	\)-complete	NOUN
bracis-33597	216	41	labelling	labelling	NOUN
bracis-33597	216	42	of	of	ADP
bracis-33597	216	43	\(\mathcal	\(\mathcal	ADJ
bracis-33597	216	44	{	{	PUNCT
bracis-33597	216	45	b}_p\	b}_p\	NOUN
bracis-33597	216	46	)	)	PUNCT
bracis-33597	216	47	.	.	PUNCT
bracis-33597	217	1	proof	proof	NOUN
bracis-33597	217	2	1	1	X
bracis-33597	217	3	.	.	PUNCT
bracis-33597	218	1	if	if	SCONJ
bracis-33597	218	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	218	3	{	{	PUNCT
bracis-33597	218	4	l}\	l}\	PROPN
bracis-33597	218	5	)	)	PUNCT
bracis-33597	218	6	is	be	AUX
bracis-33597	218	7	a	a	DET
bracis-33597	218	8	\(\beta	\(\beta	NOUN
bracis-33597	218	9	\)-complete	\)-complete	NOUN
bracis-33597	218	10	labelling	labelling	NOUN
bracis-33597	218	11	,	,	PUNCT
bracis-33597	218	12	then	then	ADV
bracis-33597	218	13	\(\mathcal	\(\mathcal	ADJ
bracis-33597	218	14	{	{	PUNCT
bracis-33597	218	15	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	218	16	{	{	PUNCT
bracis-33597	218	17	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	218	18	{	{	PUNCT
bracis-33597	218	19	l})\	l})\	X
bracis-33597	218	20	)	)	PUNCT
bracis-33597	218	21	is	be	AUX
bracis-33597	218	22	a	a	DET
bracis-33597	218	23	partial	partial	ADJ
bracis-33597	218	24	stable	stable	ADJ
bracis-33597	218	25	model	model	NOUN
bracis-33597	218	26	:	:	PUNCT
bracis-33597	218	27	let	let	VERB
bracis-33597	218	28	\(\mathcal	\(\mathcal	ADJ
bracis-33597	218	29	m	m	NOUN
bracis-33597	218	30	=	=	ADJ
bracis-33597	218	31	\mathcal	\mathcal	ADJ
bracis-33597	218	32	{	{	PUNCT
bracis-33597	218	33	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	218	34	{	{	PUNCT
bracis-33597	218	35	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	218	36	{	{	PUNCT
bracis-33597	218	37	l	l	NOUN
bracis-33597	218	38	}	}	PUNCT
bracis-33597	218	39	)	)	PUNCT
bracis-33597	219	1	=	=	SYM
bracis-33597	219	2	(	(	PUNCT
bracis-33597	219	3	t	t	PROPN
bracis-33597	219	4	,	,	PUNCT
bracis-33597	219	5	f	f	PROPN
bracis-33597	219	6	,	,	PUNCT
bracis-33597	219	7	u)\	u)\	PROPN
bracis-33597	219	8	)	)	PUNCT
bracis-33597	219	9	.	.	PUNCT
bracis-33597	220	1	we	we	PRON
bracis-33597	220	2	show	show	VERB
bracis-33597	220	3	\(\varpsi	\(\varpsi	PRON
bracis-33597	220	4	_	_	PUNCT
bracis-33597	220	5	p(\mathcal	p(\mathcal	ADP
bracis-33597	220	6	m	m	NOUN
bracis-33597	220	7	)	)	PUNCT
bracis-33597	221	1	=	=	SYM
bracis-33597	221	2	(	(	PUNCT
bracis-33597	221	3	t	t	PROPN
bracis-33597	221	4	'	'	PUNCT
bracis-33597	221	5	,	,	PUNCT
bracis-33597	221	6	f	f	X
bracis-33597	221	7	'	'	X
bracis-33597	221	8	,	,	PUNCT
bracis-33597	221	9	u	u	NOUN
bracis-33597	221	10	'	'	PUNCT
bracis-33597	221	11	)	)	PUNCT
bracis-33597	221	12	=	=	SYM
bracis-33597	221	13	(	(	PUNCT
bracis-33597	221	14	t	t	PROPN
bracis-33597	221	15	,	,	PUNCT
bracis-33597	221	16	f	f	PROPN
bracis-33597	221	17	,	,	PUNCT
bracis-33597	221	18	u)\	u)\	PROPN
bracis-33597	221	19	):	):	PUNCT
bracis-33597	221	20	\(c	\(c	ADJ
bracis-33597	221	21	\in	\in	PROPN
bracis-33597	221	22	t\	t\	NOUN
bracis-33597	221	23	)	)	PUNCT
bracis-33597	221	24	iff	iff	NOUN
bracis-33597	221	25	there	there	PRON
bracis-33597	221	26	exists	exist	VERB
bracis-33597	221	27	\(a	\(a	PROPN
bracis-33597	221	28	\in	\in	PROPN
bracis-33597	221	29	\mathcal	\mathcal	PROPN
bracis-33597	221	30	{	{	PUNCT
bracis-33597	221	31	a}_p\	a}_p\	NOUN
bracis-33597	221	32	)	)	PUNCT
bracis-33597	221	33	such	such	ADJ
bracis-33597	221	34	that	that	PRON
bracis-33597	221	35	\(\texttt{conc}(a	\(\texttt{conc}(a	PROPN
bracis-33597	221	36	)	)	PUNCT
bracis-33597	221	37	=	=	SYM
bracis-33597	221	38	c\	c\	NOUN
bracis-33597	221	39	)	)	PUNCT
bracis-33597	221	40	and	and	CCONJ
bracis-33597	221	41	\(\mathcal	\(\mathcal	ADJ
bracis-33597	221	42	{	{	PUNCT
bracis-33597	221	43	l}(a	l}(a	PROPN
bracis-33597	221	44	)	)	PUNCT
bracis-33597	221	45	=	=	SYM
bracis-33597	221	46	\texttt{in}\	\texttt{in}\	PROPN
bracis-33597	221	47	)	)	PUNCT
bracis-33597	221	48	iff	iff	PROPN
bracis-33597	221	49	there	there	PRON
bracis-33597	221	50	exists	exist	VERB
bracis-33597	221	51	\(a	\(a	NOUN
bracis-33597	221	52	'	'	PART
bracis-33597	221	53	\in	\in	PROPN
bracis-33597	221	54	\mathfrak	\mathfrak	PROPN
bracis-33597	221	55	{	{	PUNCT
bracis-33597	221	56	sup}(a)\	sup}(a)\	NOUN
bracis-33597	221	57	)	)	PUNCT
bracis-33597	221	58	such	such	ADJ
bracis-33597	221	59	that	that	PRON
bracis-33597	221	60	\(\texttt{conc}(a	\(\texttt{conc}(a	PROPN
bracis-33597	221	61	'	'	PUNCT
bracis-33597	221	62	)	)	PUNCT
bracis-33597	222	1	=	=	PUNCT
bracis-33597	222	2	c\	c\	NOUN
bracis-33597	222	3	)	)	PUNCT
bracis-33597	222	4	and	and	CCONJ
bracis-33597	222	5	for	for	ADP
bracis-33597	222	6	every	every	DET
bracis-33597	222	7	\(b	\(b	PROPN
bracis-33597	222	8	\in	\in	PROPN
bracis-33597	222	9	att	att	PROPN
bracis-33597	222	10	(	(	PUNCT
bracis-33597	222	11	a')\	a')\	PROPN
bracis-33597	222	12	)	)	PUNCT
bracis-33597	222	13	,	,	PUNCT
bracis-33597	222	14	it	it	PRON
bracis-33597	222	15	holds	hold	VERB
bracis-33597	222	16	\(\mathcal	\(\mathcal	ADJ
bracis-33597	222	17	{	{	PUNCT
bracis-33597	222	18	l}(b	l}(b	NOUN
bracis-33597	222	19	)	)	PUNCT
bracis-33597	222	20	=	=	PUNCT
bracis-33597	223	1	\texttt{out}\	\texttt{out}\	ADV
bracis-33597	223	2	)	)	PUNCT
bracis-33597	223	3	iff	iff	PROPN
bracis-33597	223	4	there	there	PRON
bracis-33597	223	5	exists	exist	VERB
bracis-33597	223	6	\(a	\(a	NOUN
bracis-33597	223	7	'	'	PART
bracis-33597	223	8	\in	\in	PROPN
bracis-33597	223	9	\mathcal	\mathcal	PROPN
bracis-33597	223	10	{	{	PUNCT
bracis-33597	223	11	a}_p\	a}_p\	NOUN
bracis-33597	223	12	)	)	PUNCT
bracis-33597	223	13	such	such	ADJ
bracis-33597	223	14	that	that	PRON
bracis-33597	223	15	\(\texttt{conc}(a	\(\texttt{conc}(a	PROPN
bracis-33597	223	16	'	'	PUNCT
bracis-33597	223	17	)	)	PUNCT
bracis-33597	223	18	=	=	PUNCT
bracis-33597	223	19	c\	c\	NOUN
bracis-33597	223	20	)	)	PUNCT
bracis-33597	223	21	and	and	CCONJ
bracis-33597	223	22	for	for	ADP
bracis-33597	223	23	every	every	DET
bracis-33597	223	24	\(b	\(b	PROPN
bracis-33597	223	25	\in	\in	PROPN
bracis-33597	223	26	att	att	PROPN
bracis-33597	223	27	(	(	PUNCT
bracis-33597	223	28	a')\	a')\	PROPN
bracis-33597	223	29	)	)	PUNCT
bracis-33597	223	30	,	,	PUNCT
bracis-33597	223	31	it	it	PRON
bracis-33597	223	32	holds	hold	VERB
bracis-33597	223	33	\(\mathcal	\(\mathcal	ADJ
bracis-33597	223	34	{	{	PUNCT
bracis-33597	223	35	l}(b	l}(b	NOUN
bracis-33597	223	36	)	)	PUNCT
bracis-33597	223	37	=	=	PUNCT
bracis-33597	223	38	\texttt{out}\	\texttt{out}\	ADV
bracis-33597	223	39	)	)	PUNCT
bracis-33597	223	40	iff	iff	PROPN
bracis-33597	223	41	there	there	PRON
bracis-33597	223	42	exists	exist	VERB
bracis-33597	223	43	\(a	\(a	NOUN
bracis-33597	223	44	'	'	PART
bracis-33597	223	45	\in	\in	PROPN
bracis-33597	223	46	\mathcal	\mathcal	PROPN
bracis-33597	223	47	{	{	PUNCT
bracis-33597	223	48	a}_p\	a}_p\	NOUN
bracis-33597	223	49	)	)	PUNCT
bracis-33597	223	50	such	such	ADJ
bracis-33597	223	51	that	that	PRON
bracis-33597	223	52	\(\texttt{conc}(a	\(\texttt{conc}(a	PROPN
bracis-33597	223	53	'	'	PUNCT
bracis-33597	223	54	)	)	PUNCT
bracis-33597	224	1	=	=	PUNCT
bracis-33597	224	2	c\	c\	NOUN
bracis-33597	224	3	)	)	PUNCT
bracis-33597	224	4	and	and	CCONJ
bracis-33597	224	5	\(\texttt{vul}(a	\(\texttt{vul}(a	NOUN
bracis-33597	224	6	'	'	PART
bracis-33597	224	7	)	)	PUNCT
bracis-33597	224	8	\subseteq	\subseteq	PROPN
bracis-33597	224	9	f\	f\	NOUN
bracis-33597	224	10	)	)	PUNCT
bracis-33597	224	11	iff	iff	PROPN
bracis-33597	224	12	\(c	\(c	PROPN
bracis-33597	224	13	\in	\in	PROPN
bracis-33597	224	14	t'\	t'\	PROPN
bracis-33597	224	15	)	)	PUNCT
bracis-33597	224	16	.	.	PUNCT
bracis-33597	225	1	\(c	\(c	ADJ
bracis-33597	225	2	\not	\not	ADV
bracis-33597	225	3	\in	\in	PROPN
bracis-33597	225	4	f\	f\	NOUN
bracis-33597	225	5	)	)	PUNCT
bracis-33597	225	6	iff	iff	PROPN
bracis-33597	225	7	\(c	\(c	ADJ
bracis-33597	225	8	\not	\not	ADV
bracis-33597	225	9	\in	\in	PROPN
bracis-33597	225	10	f'\	f'\	PROPN
bracis-33597	225	11	)	)	PUNCT
bracis-33597	225	12	can	can	AUX
bracis-33597	225	13	be	be	AUX
bracis-33597	225	14	similarly	similarly	ADV
bracis-33597	225	15	proved	prove	VERB
bracis-33597	225	16	.	.	PUNCT
bracis-33597	226	1	2	2	X
bracis-33597	226	2	.	.	X
bracis-33597	226	3	if	if	SCONJ
bracis-33597	226	4	\(\mathcal	\(\mathcal	ADJ
bracis-33597	226	5	m\	m\	NOUN
bracis-33597	226	6	)	)	PUNCT
bracis-33597	226	7	is	be	AUX
bracis-33597	226	8	a	a	DET
bracis-33597	226	9	partial	partial	ADJ
bracis-33597	226	10	stable	stable	ADJ
bracis-33597	226	11	model	model	NOUN
bracis-33597	226	12	,	,	PUNCT
bracis-33597	226	13	then	then	ADV
bracis-33597	226	14	\(\mathcal	\(\mathcal	ADJ
bracis-33597	226	15	{	{	PUNCT
bracis-33597	226	16	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	226	17	{	{	PUNCT
bracis-33597	226	18	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	226	19	m)\	m)\	NOUN
bracis-33597	226	20	)	)	PUNCT
bracis-33597	226	21	is	be	AUX
bracis-33597	226	22	a	a	DET
bracis-33597	226	23	complete	complete	ADJ
bracis-33597	226	24	labelling	labelling	NOUN
bracis-33597	226	25	:	:	PUNCT
bracis-33597	226	26	let	let	VERB
bracis-33597	226	27	\(\mathcal	\(\mathcal	ADJ
bracis-33597	226	28	m	m	NOUN
bracis-33597	226	29	=	=	SYM
bracis-33597	226	30	(	(	PUNCT
bracis-33597	226	31	t	t	PROPN
bracis-33597	226	32	,	,	PUNCT
bracis-33597	226	33	f	f	PROPN
bracis-33597	226	34	,	,	PUNCT
bracis-33597	226	35	u)\	u)\	PROPN
bracis-33597	226	36	)	)	PUNCT
bracis-33597	226	37	be	be	AUX
bracis-33597	226	38	a	a	DET
bracis-33597	226	39	partial	partial	ADJ
bracis-33597	226	40	stable	stable	ADJ
bracis-33597	226	41	model	model	NOUN
bracis-33597	226	42	of	of	ADP
bracis-33597	226	43	p.	p.	NOUN
bracis-33597	226	44	then	then	ADV
bracis-33597	226	45	\(\varpsi	\(\varpsi	NUM
bracis-33597	226	46	_	_	PUNCT
bracis-33597	226	47	p(\mathcal	p(\mathcal	ADP
bracis-33597	226	48	m	m	NOUN
bracis-33597	226	49	)	)	PUNCT
bracis-33597	227	1	=	=	SYM
bracis-33597	227	2	(	(	PUNCT
bracis-33597	227	3	t	t	PROPN
bracis-33597	227	4	,	,	PUNCT
bracis-33597	227	5	f	f	PROPN
bracis-33597	227	6	,	,	PUNCT
bracis-33597	227	7	u)\	u)\	PROPN
bracis-33597	227	8	)	)	PUNCT
bracis-33597	227	9	.	.	PUNCT
bracis-33597	228	1	let	let	VERB
bracis-33597	228	2	\(a	\(a	PROPN
bracis-33597	228	3	\in	\in	PROPN
bracis-33597	228	4	\mathcal	\mathcal	PROPN
bracis-33597	228	5	{	{	PUNCT
bracis-33597	228	6	a}_p\	a}_p\	NOUN
bracis-33597	228	7	)	)	PUNCT
bracis-33597	228	8	.	.	PUNCT
bracis-33597	229	1	we	we	PRON
bracis-33597	229	2	will	will	AUX
bracis-33597	229	3	prove	prove	VERB
bracis-33597	229	4	\(\mathcal	\(\mathcal	ADJ
bracis-33597	229	5	{	{	PUNCT
bracis-33597	229	6	l	l	NOUN
bracis-33597	229	7	}	}	PUNCT
bracis-33597	229	8	=	=	PUNCT
bracis-33597	229	9	\mathcal	\mathcal	ADJ
bracis-33597	229	10	{	{	PUNCT
bracis-33597	229	11	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	229	12	{	{	PUNCT
bracis-33597	229	13	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	229	14	m)\	m)\	NOUN
bracis-33597	229	15	)	)	PUNCT
bracis-33597	229	16	is	be	AUX
bracis-33597	229	17	a	a	DET
bracis-33597	229	18	\(\beta	\(\beta	NOUN
bracis-33597	229	19	\)-complete	\)-complete	NOUN
bracis-33597	229	20	labelling	labelling	NOUN
bracis-33597	229	21	of	of	ADP
bracis-33597	229	22	\(\mathcal	\(\mathcal	ADJ
bracis-33597	229	23	{	{	PUNCT
bracis-33597	229	24	b}_p\	b}_p\	NOUN
bracis-33597	229	25	):	):	PUNCT
bracis-33597	229	26	\(\mathcal	\(\mathcal	ADJ
bracis-33597	229	27	{	{	PUNCT
bracis-33597	229	28	l}(a	l}(a	PROPN
bracis-33597	229	29	)	)	PUNCT
bracis-33597	229	30	=	=	SYM
bracis-33597	229	31	\texttt{in}\	\texttt{in}\	NOUN
bracis-33597	229	32	)	)	PUNCT
bracis-33597	229	33	iff	iff	PROPN
bracis-33597	229	34	\(\texttt{conc}(a	\(\texttt{conc}(a	NUM
bracis-33597	229	35	)	)	PUNCT
bracis-33597	229	36	\in	\in	PROPN
bracis-33597	229	37	t\	t\	NOUN
bracis-33597	229	38	)	)	PUNCT
bracis-33597	229	39	iff	iff	NOUN
bracis-33597	229	40	there	there	PRON
bracis-33597	229	41	exists	exist	VERB
bracis-33597	229	42	\(a	\(a	NOUN
bracis-33597	229	43	'	'	PART
bracis-33597	229	44	\in	\in	PROPN
bracis-33597	229	45	\mathcal	\mathcal	PROPN
bracis-33597	229	46	{	{	PUNCT
bracis-33597	229	47	a}_p\	a}_p\	NOUN
bracis-33597	229	48	)	)	PUNCT
bracis-33597	229	49	with	with	ADP
bracis-33597	229	50	\(\texttt{conc}(a	\(\texttt{conc}(a	PROPN
bracis-33597	229	51	'	'	PUNCT
bracis-33597	229	52	)	)	PUNCT
bracis-33597	230	1	=	=	SYM
bracis-33597	230	2	\texttt{conc}(a)\	\texttt{conc}(a)\	PROPN
bracis-33597	230	3	)	)	PUNCT
bracis-33597	230	4	and	and	CCONJ
bracis-33597	230	5	\(\texttt{vul}(a	\(\texttt{vul}(a	NOUN
bracis-33597	230	6	'	'	PART
bracis-33597	230	7	)	)	PUNCT
bracis-33597	230	8	\subseteq	\subseteq	PROPN
bracis-33597	230	9	f\	f\	NOUN
bracis-33597	230	10	)	)	PUNCT
bracis-33597	230	11	iff	iff	PROPN
bracis-33597	230	12	there	there	PRON
bracis-33597	230	13	exists	exist	VERB
bracis-33597	230	14	\(a	\(a	NOUN
bracis-33597	230	15	'	'	PART
bracis-33597	230	16	\in	\in	PROPN
bracis-33597	230	17	\mathfrak	\mathfrak	PROPN
bracis-33597	230	18	{	{	PUNCT
bracis-33597	230	19	sup}(a)\	sup}(a)\	NOUN
bracis-33597	230	20	)	)	PUNCT
bracis-33597	230	21	such	such	ADJ
bracis-33597	230	22	that	that	PRON
bracis-33597	230	23	for	for	ADP
bracis-33597	230	24	every	every	DET
bracis-33597	230	25	\(b	\(b	PROPN
bracis-33597	230	26	\in	\in	PROPN
bracis-33597	230	27	att	att	PROPN
bracis-33597	230	28	(	(	PUNCT
bracis-33597	230	29	a')\	a')\	PROPN
bracis-33597	230	30	)	)	PUNCT
bracis-33597	230	31	,	,	PUNCT
bracis-33597	230	32	it	it	PRON
bracis-33597	230	33	holds	hold	VERB
bracis-33597	230	34	\(\mathcal	\(\mathcal	ADJ
bracis-33597	230	35	{	{	PUNCT
bracis-33597	230	36	l}(b	l}(b	NOUN
bracis-33597	230	37	)	)	PUNCT
bracis-33597	230	38	=	=	PUNCT
bracis-33597	230	39	\texttt{out}\	\texttt{out}\	ADV
bracis-33597	230	40	)	)	PUNCT
bracis-33597	230	41	.	.	PUNCT
bracis-33597	231	1	\(\mathcal	\(\mathcal	ADJ
bracis-33597	231	2	{	{	PUNCT
bracis-33597	231	3	l}(a	l}(a	PROPN
bracis-33597	231	4	)	)	PUNCT
bracis-33597	231	5	\ne	\ne	PROPN
bracis-33597	231	6	\texttt{out}\	\texttt{out}\	ADV
bracis-33597	231	7	)	)	PUNCT
bracis-33597	231	8	iff	iff	PROPN
bracis-33597	231	9	\(\texttt{conc}(a	\(\texttt{conc}(a	NUM
bracis-33597	231	10	)	)	PUNCT
bracis-33597	231	11	\ne	\ne	PROPN
bracis-33597	231	12	f\	f\	NOUN
bracis-33597	231	13	)	)	PUNCT
bracis-33597	231	14	iff	iff	PROPN
bracis-33597	231	15	there	there	PRON
bracis-33597	231	16	exists	exist	VERB
bracis-33597	231	17	\(a	\(a	NOUN
bracis-33597	231	18	'	'	PART
bracis-33597	231	19	\in	\in	PROPN
bracis-33597	231	20	\mathcal	\mathcal	PROPN
bracis-33597	231	21	{	{	PUNCT
bracis-33597	231	22	a}_p\	a}_p\	NOUN
bracis-33597	231	23	)	)	PUNCT
bracis-33597	231	24	with	with	ADP
bracis-33597	231	25	\(\texttt{conc}(a	\(\texttt{conc}(a	PROPN
bracis-33597	231	26	'	'	PUNCT
bracis-33597	231	27	)	)	PUNCT
bracis-33597	232	1	=	=	SYM
bracis-33597	232	2	\texttt{conc}(a)\	\texttt{conc}(a)\	PROPN
bracis-33597	232	3	)	)	PUNCT
bracis-33597	232	4	and	and	CCONJ
bracis-33597	232	5	\(\texttt{vul}(a	\(\texttt{vul}(a	NOUN
bracis-33597	232	6	'	'	PART
bracis-33597	232	7	)	)	PUNCT
bracis-33597	232	8	\cap	\cap	PROPN
bracis-33597	232	9	t	t	PROPN
bracis-33597	232	10	=	=	PUNCT
bracis-33597	232	11	\emptyset	\emptyset	VERB
bracis-33597	232	12	\	\	NOUN
bracis-33597	232	13	)	)	PUNCT
bracis-33597	233	1	iff	iff	PROPN
bracis-33597	233	2	there	there	PRON
bracis-33597	233	3	exists	exist	VERB
bracis-33597	233	4	\(a	\(a	NOUN
bracis-33597	233	5	'	'	PART
bracis-33597	233	6	\in	\in	PROPN
bracis-33597	233	7	\mathfrak	\mathfrak	PROPN
bracis-33597	233	8	{	{	PUNCT
bracis-33597	233	9	sup}(a)\	sup}(a)\	NOUN
bracis-33597	233	10	)	)	PUNCT
bracis-33597	233	11	such	such	ADJ
bracis-33597	233	12	that	that	PRON
bracis-33597	233	13	for	for	ADP
bracis-33597	233	14	every	every	DET
bracis-33597	233	15	\(b	\(b	PROPN
bracis-33597	233	16	\in	\in	PROPN
bracis-33597	233	17	att	att	PROPN
bracis-33597	233	18	(	(	PUNCT
bracis-33597	233	19	a')\	a')\	PROPN
bracis-33597	233	20	)	)	PUNCT
bracis-33597	233	21	,	,	PUNCT
bracis-33597	233	22	it	it	PRON
bracis-33597	233	23	holds	hold	VERB
bracis-33597	233	24	\(\mathcal	\(\mathcal	ADJ
bracis-33597	233	25	{	{	PUNCT
bracis-33597	233	26	l}(b	l}(b	PROPN
bracis-33597	233	27	)	)	PUNCT
bracis-33597	233	28	\ne	\ne	PROPN
bracis-33597	233	29	\texttt{in}\	\texttt{in}\	NOUN
bracis-33597	233	30	)	)	PUNCT
bracis-33597	233	31	.	.	PUNCT
bracis-33597	234	1	3	3	X
bracis-33597	234	2	.	.	X
bracis-33597	234	3	\(\mathcal	\(\mathcal	ADJ
bracis-33597	234	4	{	{	PUNCT
bracis-33597	234	5	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	234	6	{	{	PUNCT
bracis-33597	234	7	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	234	8	{	{	PUNCT
bracis-33597	234	9	l})\	l})\	X
bracis-33597	234	10	)	)	PUNCT
bracis-33597	234	11	is	be	AUX
bracis-33597	234	12	a	a	DET
bracis-33597	234	13	partial	partial	ADJ
bracis-33597	234	14	stable	stable	ADJ
bracis-33597	234	15	model	model	NOUN
bracis-33597	234	16	of	of	ADP
bracis-33597	234	17	p	p	PROPN
bracis-33597	234	18	\(\rightarrow	\(\rightarrow	X
bracis-33597	234	19	\	\	NOUN
bracis-33597	234	20	)	)	PUNCT
bracis-33597	234	21	according	accord	VERB
bracis-33597	234	22	to	to	ADP
bracis-33597	234	23	item	item	NOUN
bracis-33597	234	24	2	2	NUM
bracis-33597	234	25	above	above	ADV
bracis-33597	234	26	,	,	PUNCT
bracis-33597	234	27	\(\mathcal	\(\mathcal	ADJ
bracis-33597	234	28	{	{	PUNCT
bracis-33597	234	29	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	234	30	{	{	PUNCT
bracis-33597	234	31	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	234	32	{	{	PUNCT
bracis-33597	234	33	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	234	34	{	{	PUNCT
bracis-33597	234	35	i}_p(\mathcal	i}_p(\mathcal	PROPN
bracis-33597	234	36	{	{	PUNCT
bracis-33597	234	37	l}))\	l}))\	PROPN
bracis-33597	234	38	)	)	PUNCT
bracis-33597	234	39	is	be	AUX
bracis-33597	234	40	a	a	DET
bracis-33597	234	41	\(\beta	\(\beta	NOUN
bracis-33597	234	42	\)-complete	\)-complete	NOUN
bracis-33597	234	43	labelling	labelling	NOUN
bracis-33597	234	44	of	of	ADP
bracis-33597	234	45	\(\mathcal	\(\mathcal	ADJ
bracis-33597	234	46	{	{	PUNCT
bracis-33597	234	47	b}_p\	b}_p\	NOUN
bracis-33597	234	48	)	)	PUNCT
bracis-33597	234	49	\(\rightarrow	\(\rightarrow	NOUN
bracis-33597	234	50	\	\	NOUN
bracis-33597	234	51	)	)	PUNCT
bracis-33597	234	52	(	(	PUNCT
bracis-33597	234	53	via	via	ADP
bracis-33597	234	54	theorem	theorem	NOUN
bracis-33597	234	55	2	2	NUM
bracis-33597	234	56	)	)	PUNCT
bracis-33597	234	57	\(\mathcal	\(\mathcal	ADJ
bracis-33597	234	58	{	{	PUNCT
bracis-33597	234	59	l}\	l}\	PROPN
bracis-33597	234	60	)	)	PUNCT
bracis-33597	234	61	is	be	AUX
bracis-33597	234	62	a	a	DET
bracis-33597	234	63	\(\beta	\(\beta	NOUN
bracis-33597	234	64	\)-complete	\)-complete	NOUN
bracis-33597	234	65	labelling	labelling	NOUN
bracis-33597	234	66	of	of	ADP
bracis-33597	234	67	\(\mathcal	\(\mathcal	ADJ
bracis-33597	234	68	{	{	PUNCT
bracis-33597	234	69	b}_p\	b}_p\	NOUN
bracis-33597	234	70	)	)	PUNCT
bracis-33597	234	71	.	.	PUNCT
bracis-33597	235	1	4	4	X
bracis-33597	235	2	.	.	X
bracis-33597	235	3	\(\mathcal	\(\mathcal	ADJ
bracis-33597	235	4	{	{	PUNCT
bracis-33597	235	5	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	235	6	{	{	PUNCT
bracis-33597	235	7	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	235	8	m)\	m)\	NOUN
bracis-33597	235	9	)	)	PUNCT
bracis-33597	235	10	is	be	AUX
bracis-33597	235	11	a	a	DET
bracis-33597	235	12	\(\beta	\(\beta	NOUN
bracis-33597	235	13	\)-complete	\)-complete	NOUN
bracis-33597	235	14	labelling	labelling	NOUN
bracis-33597	235	15	of	of	ADP
bracis-33597	235	16	\(\mathcal	\(\mathcal	ADJ
bracis-33597	235	17	{	{	PUNCT
bracis-33597	235	18	b}_p\	b}_p\	NOUN
bracis-33597	235	19	)	)	PUNCT
bracis-33597	235	20	\(\rightarrow	\(\rightarrow	NOUN
bracis-33597	235	21	\	\	NOUN
bracis-33597	235	22	)	)	PUNCT
bracis-33597	235	23	according	accord	VERB
bracis-33597	235	24	to	to	ADP
bracis-33597	235	25	item	item	NOUN
bracis-33597	235	26	1	1	NUM
bracis-33597	235	27	above	above	ADV
bracis-33597	235	28	,	,	PUNCT
bracis-33597	235	29	\(\mathcal	\(\mathcal	ADJ
bracis-33597	235	30	{	{	PUNCT
bracis-33597	235	31	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	235	32	{	{	PUNCT
bracis-33597	235	33	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	235	34	{	{	PUNCT
bracis-33597	235	35	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	235	36	{	{	PUNCT
bracis-33597	235	37	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	235	38	m))\	m))\	NOUN
bracis-33597	235	39	)	)	PUNCT
bracis-33597	235	40	is	be	AUX
bracis-33597	235	41	a	a	DET
bracis-33597	235	42	partial	partial	ADJ
bracis-33597	235	43	stable	stable	ADJ
bracis-33597	235	44	model	model	NOUN
bracis-33597	235	45	of	of	ADP
bracis-33597	235	46	p	p	PROPN
bracis-33597	235	47	\(\rightarrow	\(\rightarrow	X
bracis-33597	235	48	\	\	PROPN
bracis-33597	235	49	)	)	PUNCT
bracis-33597	235	50	(	(	PUNCT
bracis-33597	235	51	via	via	ADP
bracis-33597	235	52	theorem	theorem	NOUN
bracis-33597	235	53	3	3	NUM
bracis-33597	235	54	)	)	PUNCT
bracis-33597	235	55	\(\mathcal	\(\mathcal	ADJ
bracis-33597	235	56	m\	m\	NOUN
bracis-33597	235	57	)	)	PUNCT
bracis-33597	235	58	is	be	AUX
bracis-33597	235	59	a	a	DET
bracis-33597	235	60	partial	partial	ADJ
bracis-33597	235	61	stable	stable	ADJ
bracis-33597	235	62	model	model	NOUN
bracis-33597	235	63	of	of	ADP
bracis-33597	235	64	p.	p.	PROPN
bracis-33597	235	65	theorem	theorem	NOUN
bracis-33597	235	66	4	4	NUM
bracis-33597	235	67	is	be	AUX
bracis-33597	235	68	one	one	NUM
bracis-33597	235	69	of	of	ADP
bracis-33597	235	70	the	the	DET
bracis-33597	235	71	main	main	ADJ
bracis-33597	235	72	results	result	NOUN
bracis-33597	235	73	of	of	ADP
bracis-33597	235	74	this	this	DET
bracis-33597	235	75	paper	paper	NOUN
bracis-33597	235	76	.	.	PUNCT
bracis-33597	236	1	it	it	PRON
bracis-33597	236	2	plays	play	VERB
bracis-33597	236	3	a	a	DET
bracis-33597	236	4	central	central	ADJ
bracis-33597	236	5	role	role	NOUN
bracis-33597	236	6	in	in	ADP
bracis-33597	236	7	ensuring	ensure	VERB
bracis-33597	236	8	the	the	DET
bracis-33597	236	9	equivalence	equivalence	NOUN
bracis-33597	236	10	between	between	ADP
bracis-33597	236	11	the	the	DET
bracis-33597	236	12	semantics	semantic	NOUN
bracis-33597	236	13	for	for	ADP
bracis-33597	236	14	\(\textit{nlp}\)s	\(\textit{nlp}\)s	ADJ
bracis-33597	236	15	and	and	CCONJ
bracis-33597	236	16	their	their	PRON
bracis-33597	236	17	counterpart	counterpart	NOUN
bracis-33597	236	18	for	for	ADP
bracis-33597	236	19	\(\textit{baf}\)s	\(\textit{baf}\)s	NOUN
bracis-33597	236	20	:	:	PUNCT
bracis-33597	236	21	theorem	theorem	NOUN
bracis-33597	236	22	5	5	NUM
bracis-33597	236	23	let	let	VERB
bracis-33597	236	24	p	p	PRON
bracis-33597	236	25	be	be	AUX
bracis-33597	236	26	an	an	DET
bracis-33597	236	27	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	236	28	)	)	PUNCT
bracis-33597	236	29	and	and	CCONJ
bracis-33597	236	30	\(\mathcal	\(\mathcal	ADJ
bracis-33597	236	31	{	{	PUNCT
bracis-33597	236	32	b}_p	b}_p	PROPN
bracis-33597	236	33	=	=	SYM
bracis-33597	236	34	(	(	PUNCT
bracis-33597	236	35	\mathcal	\mathcal	X
bracis-33597	236	36	{	{	PUNCT
bracis-33597	236	37	a}_p	a}_p	PROPN
bracis-33597	236	38	,	,	PUNCT
bracis-33597	236	39	att	att	PROPN
bracis-33597	236	40	_	_	PUNCT
bracis-33597	236	41	p)\	p)\	NOUN
bracis-33597	236	42	)	)	PUNCT
bracis-33597	236	43	be	be	VERB
bracis-33597	236	44	the	the	DET
bracis-33597	236	45	corresponding	corresponding	ADJ
bracis-33597	236	46	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	236	47	)	)	PUNCT
bracis-33597	236	48	.	.	PUNCT
bracis-33597	237	1	it	it	PRON
bracis-33597	237	2	holds	hold	VERB
bracis-33597	237	3	\(\mathcal	\(\mathcal	ADJ
bracis-33597	237	4	{	{	PUNCT
bracis-33597	237	5	l}\	l}\	PROPN
bracis-33597	237	6	)	)	PUNCT
bracis-33597	237	7	is	be	AUX
bracis-33597	237	8	a	a	DET
bracis-33597	237	9	\(\beta	\(\beta	PROPN
bracis-33597	237	10	\)-grounded	\)-grounded	NUM
bracis-33597	237	11	(	(	PUNCT
bracis-33597	237	12	resp	resp	NOUN
bracis-33597	237	13	.	.	PUNCT
bracis-33597	238	1	\(\beta	\(\beta	PROPN
bracis-33597	238	2	\)-preferred	\)-preferred	PROPN
bracis-33597	238	3	,	,	PUNCT
bracis-33597	238	4	\(\beta	\(\beta	NOUN
bracis-33597	238	5	\)-stable	\)-stable	ADJ
bracis-33597	238	6	,	,	PUNCT
bracis-33597	238	7	\(\beta	\(\beta	ADJ
bracis-33597	238	8	\)-semi	\)-semi	NOUN
bracis-33597	238	9	-	-	ADJ
bracis-33597	238	10	stable	stable	ADJ
bracis-33597	238	11	)	)	PUNCT
bracis-33597	238	12	labelling	labelling	NOUN
bracis-33597	238	13	of	of	ADP
bracis-33597	238	14	\(\mathcal	\(\mathcal	ADJ
bracis-33597	238	15	{	{	PUNCT
bracis-33597	238	16	b}_p\	b}_p\	NOUN
bracis-33597	238	17	)	)	PUNCT
bracis-33597	239	1	iff	iff	PROPN
bracis-33597	239	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	239	3	{	{	PUNCT
bracis-33597	239	4	l}2\mathcal	l}2\mathcal	PROPN
bracis-33597	239	5	{	{	PUNCT
bracis-33597	239	6	i}_p(\mathcal	i}_p(\mathcal	ADJ
bracis-33597	239	7	{	{	PUNCT
bracis-33597	239	8	l})\	l})\	X
bracis-33597	239	9	)	)	PUNCT
bracis-33597	239	10	is	be	AUX
bracis-33597	239	11	a	a	DET
bracis-33597	239	12	well	well	ADV
bracis-33597	239	13	-	-	PUNCT
bracis-33597	239	14	founded	found	VERB
bracis-33597	239	15	(	(	PUNCT
bracis-33597	239	16	resp	resp	NOUN
bracis-33597	239	17	.	.	PUNCT
bracis-33597	240	1	regular	regular	ADJ
bracis-33597	240	2	,	,	PUNCT
bracis-33597	240	3	stable	stable	ADJ
bracis-33597	240	4	,	,	PUNCT
bracis-33597	240	5	l	l	NOUN
bracis-33597	240	6	-	-	ADJ
bracis-33597	240	7	stable	stable	ADJ
bracis-33597	240	8	)	)	PUNCT
bracis-33597	240	9	model	model	NOUN
bracis-33597	240	10	of	of	ADP
bracis-33597	240	11	p.	p.	NOUN
bracis-33597	240	12	the	the	DET
bracis-33597	240	13	following	follow	VERB
bracis-33597	240	14	result	result	NOUN
bracis-33597	240	15	is	be	AUX
bracis-33597	240	16	a	a	DET
bracis-33597	240	17	direct	direct	ADJ
bracis-33597	240	18	consequence	consequence	NOUN
bracis-33597	240	19	of	of	ADP
bracis-33597	240	20	theorems	theorem	NOUN
bracis-33597	240	21	3	3	NUM
bracis-33597	240	22	and	and	CCONJ
bracis-33597	240	23	5	5	NUM
bracis-33597	240	24	:	:	PUNCT
bracis-33597	240	25	corollary	corollary	ADJ
bracis-33597	240	26	1	1	NUM
bracis-33597	240	27	let	let	VERB
bracis-33597	240	28	p	p	PRON
bracis-33597	240	29	be	be	AUX
bracis-33597	240	30	an	an	DET
bracis-33597	240	31	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	240	32	)	)	PUNCT
bracis-33597	240	33	and	and	CCONJ
bracis-33597	240	34	\(\mathcal	\(\mathcal	ADJ
bracis-33597	240	35	{	{	PUNCT
bracis-33597	240	36	b}_p	b}_p	PROPN
bracis-33597	240	37	=	=	SYM
bracis-33597	240	38	(	(	PUNCT
bracis-33597	240	39	\mathcal	\mathcal	X
bracis-33597	240	40	{	{	PUNCT
bracis-33597	240	41	a}_p	a}_p	PROPN
bracis-33597	240	42	,	,	PUNCT
bracis-33597	240	43	att	att	PROPN
bracis-33597	240	44	_	_	PUNCT
bracis-33597	240	45	p)\	p)\	NOUN
bracis-33597	240	46	)	)	PUNCT
bracis-33597	240	47	its	its	PRON
bracis-33597	240	48	corresponding	corresponding	ADJ
bracis-33597	240	49	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	240	50	)	)	PUNCT
bracis-33597	240	51	.	.	PUNCT
bracis-33597	241	1	\(\mathcal	\(\mathcal	ADJ
bracis-33597	241	2	m\	m\	NOUN
bracis-33597	241	3	)	)	PUNCT
bracis-33597	241	4	is	be	AUX
bracis-33597	241	5	a	a	DET
bracis-33597	241	6	well	well	ADV
bracis-33597	241	7	-	-	PUNCT
bracis-33597	241	8	founded	found	VERB
bracis-33597	241	9	(	(	PUNCT
bracis-33597	241	10	resp	resp	NOUN
bracis-33597	241	11	.	.	PUNCT
bracis-33597	242	1	regular	regular	ADJ
bracis-33597	242	2	,	,	PUNCT
bracis-33597	242	3	stable	stable	ADJ
bracis-33597	242	4	,	,	PUNCT
bracis-33597	242	5	l	l	NOUN
bracis-33597	242	6	-	-	ADJ
bracis-33597	242	7	stable	stable	ADJ
bracis-33597	242	8	)	)	PUNCT
bracis-33597	242	9	model	model	NOUN
bracis-33597	242	10	of	of	ADP
bracis-33597	242	11	p	p	PROPN
bracis-33597	242	12	iff	iff	PROPN
bracis-33597	242	13	\(\mathcal	\(\mathcal	ADJ
bracis-33597	242	14	{	{	PUNCT
bracis-33597	242	15	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	242	16	{	{	PUNCT
bracis-33597	242	17	l}_p(\mathcal	l}_p(\mathcal	ADJ
bracis-33597	242	18	m)\	m)\	NOUN
bracis-33597	242	19	)	)	PUNCT
bracis-33597	242	20	is	be	AUX
bracis-33597	242	21	a	a	DET
bracis-33597	242	22	\(\beta	\(\beta	PROPN
bracis-33597	242	23	\)-grounded	\)-grounded	NUM
bracis-33597	242	24	(	(	PUNCT
bracis-33597	242	25	resp	resp	NOUN
bracis-33597	242	26	.	.	PUNCT
bracis-33597	243	1	\(\beta	\(\beta	PROPN
bracis-33597	243	2	\)-preferred	\)-preferred	PROPN
bracis-33597	243	3	,	,	PUNCT
bracis-33597	243	4	\(\beta	\(\beta	NOUN
bracis-33597	243	5	\)-stable	\)-stable	ADJ
bracis-33597	243	6	,	,	PUNCT
bracis-33597	243	7	\(\beta	\(\beta	ADJ
bracis-33597	243	8	\)-semi	\)-semi	NOUN
bracis-33597	243	9	-	-	ADJ
bracis-33597	243	10	stable	stable	ADJ
bracis-33597	243	11	)	)	PUNCT
bracis-33597	243	12	labelling	labelling	NOUN
bracis-33597	243	13	of	of	ADP
bracis-33597	243	14	\(\mathcal	\(\mathcal	ADJ
bracis-33597	243	15	{	{	PUNCT
bracis-33597	243	16	b}_p\	b}_p\	NOUN
bracis-33597	243	17	)	)	PUNCT
bracis-33597	243	18	.	.	PUNCT
bracis-33597	244	1	next	next	ADV
bracis-33597	244	2	,	,	PUNCT
bracis-33597	244	3	we	we	PRON
bracis-33597	244	4	consider	consider	VERB
bracis-33597	244	5	the	the	DET
bracis-33597	244	6	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	244	7	)	)	PUNCT
bracis-33597	244	8	exploited	exploit	VERB
bracis-33597	244	9	by	by	ADP
bracis-33597	244	10	caminada	caminada	PROPN
bracis-33597	244	11	et	et	PROPN
bracis-33597	244	12	al	al	PROPN
bracis-33597	244	13	.	.	PUNCT
bracis-33597	245	1	[	[	X
bracis-33597	245	2	7	7	X
bracis-33597	245	3	]	]	PUNCT
bracis-33597	245	4	as	as	ADP
bracis-33597	245	5	a	a	DET
bracis-33597	245	6	counterexample	counterexample	NOUN
bracis-33597	245	7	to	to	PART
bracis-33597	245	8	show	show	VERB
bracis-33597	245	9	that	that	SCONJ
bracis-33597	245	10	in	in	ADP
bracis-33597	245	11	general	general	ADJ
bracis-33597	245	12	,	,	PUNCT
bracis-33597	245	13	l	l	ADJ
bracis-33597	245	14	-	-	ADJ
bracis-33597	245	15	stable	stable	ADJ
bracis-33597	245	16	models	model	NOUN
bracis-33597	245	17	and	and	CCONJ
bracis-33597	245	18	semi	semi	ADJ
bracis-33597	245	19	-	-	ADJ
bracis-33597	245	20	stable	stable	ADJ
bracis-33597	245	21	labellings	labelling	NOUN
bracis-33597	245	22	do	do	AUX
bracis-33597	245	23	not	not	PART
bracis-33597	245	24	coincide	coincide	VERB
bracis-33597	245	25	with	with	ADP
bracis-33597	245	26	each	each	DET
bracis-33597	245	27	other	other	ADJ
bracis-33597	245	28	in	in	ADP
bracis-33597	245	29	their	their	PRON
bracis-33597	245	30	translation	translation	NOUN
bracis-33597	245	31	from	from	ADP
bracis-33597	245	32	\(\textit{nlp}\)s	\(\textit{nlp}\)s	PROPN
bracis-33597	245	33	to	to	ADP
bracis-33597	245	34	\	\	PROPN
bracis-33597	245	35	(	(	PUNCT
bracis-33597	245	36	aaf	aaf	PROPN
bracis-33597	245	37	\)s	\)s	PROPN
bracis-33597	245	38	:	:	PUNCT
bracis-33597	245	39	example	example	NOUN
bracis-33597	245	40	4	4	NUM
bracis-33597	245	41	let	let	VERB
bracis-33597	245	42	p	p	NOUN
bracis-33597	245	43	and	and	CCONJ
bracis-33597	245	44	\(\mathcal	\(\mathcal	ADJ
bracis-33597	245	45	{	{	PUNCT
bracis-33597	245	46	b}_p\	b}_p\	NOUN
bracis-33597	245	47	)	)	PUNCT
bracis-33597	245	48	be	be	VERB
bracis-33597	245	49	the	the	DET
bracis-33597	245	50	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	245	51	)	)	PUNCT
bracis-33597	245	52	and	and	CCONJ
bracis-33597	245	53	corresponding	correspond	VERB
bracis-33597	245	54	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	245	55	)	)	PUNCT
bracis-33597	245	56	in	in	ADP
bracis-33597	245	57	fig	fig	NOUN
bracis-33597	245	58	.	.	PUNCT
bracis-33597	245	59	 	 	SPACE
bracis-33597	246	1	3	3	NUM
bracis-33597	246	2	,	,	PUNCT
bracis-33597	246	3	where	where	SCONJ
bracis-33597	246	4	the	the	DET
bracis-33597	246	5	arguments	argument	NOUN
bracis-33597	246	6	of	of	ADP
bracis-33597	246	7	\(\mathcal	\(\mathcal	ADJ
bracis-33597	246	8	b_p\	b_p\	NOUN
bracis-33597	246	9	)	)	PUNCT
bracis-33597	246	10	are	be	AUX
bracis-33597	246	11	fig	fig	NOUN
bracis-33597	246	12	.	.	PUNCT
bracis-33597	247	1	3	3	X
bracis-33597	247	2	.	.	X
bracis-33597	247	3	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	247	4	)	)	PUNCT
bracis-33597	247	5	p	p	NOUN
bracis-33597	247	6	and	and	CCONJ
bracis-33597	247	7	its	its	PRON
bracis-33597	247	8	corresponding	corresponding	ADJ
bracis-33597	247	9	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	247	10	)	)	PUNCT
bracis-33597	247	11	\(\mathcal	\(\mathcal	ADJ
bracis-33597	247	12	{	{	PUNCT
bracis-33597	247	13	b}_p\	b}_p\	NOUN
bracis-33597	247	14	)	)	PUNCT
bracis-33597	247	15	full	full	ADJ
bracis-33597	247	16	size	size	NOUN
bracis-33597	247	17	image	image	NOUN
bracis-33597	247	18	note	note	NOUN
bracis-33597	247	19	in	in	ADP
bracis-33597	247	20	\(\mathcal	\(\mathcal	ADJ
bracis-33597	247	21	{	{	PUNCT
bracis-33597	247	22	b}_p\	b}_p\	NOUN
bracis-33597	247	23	)	)	PUNCT
bracis-33597	247	24	that	that	SCONJ
bracis-33597	247	25	there	there	PRON
bracis-33597	247	26	is	be	VERB
bracis-33597	247	27	both	both	PRON
bracis-33597	247	28	a	a	DET
bracis-33597	247	29	mutual	mutual	ADJ
bracis-33597	247	30	attack	attack	NOUN
bracis-33597	247	31	and	and	CCONJ
bracis-33597	247	32	a	a	DET
bracis-33597	247	33	mutual	mutual	ADJ
bracis-33597	247	34	support	support	NOUN
bracis-33597	247	35	between	between	ADP
bracis-33597	247	36	arguments	argument	NOUN
bracis-33597	247	37	\(c_1\	\(c_1\	PROPN
bracis-33597	247	38	)	)	PUNCT
bracis-33597	247	39	and	and	CCONJ
bracis-33597	247	40	\(c_2\	\(c_2\	PROPN
bracis-33597	247	41	)	)	PUNCT
bracis-33597	247	42	.	.	PUNCT
bracis-33597	248	1	as	as	SCONJ
bracis-33597	248	2	expected	expect	VERB
bracis-33597	248	3	from	from	ADP
bracis-33597	248	4	theorems	theorem	NOUN
bracis-33597	248	5	4	4	NUM
bracis-33597	248	6	and	and	CCONJ
bracis-33597	248	7	5	5	NUM
bracis-33597	248	8	,	,	PUNCT
bracis-33597	248	9	we	we	PRON
bracis-33597	248	10	obtain	obtain	VERB
bracis-33597	248	11	in	in	ADP
bracis-33597	248	12	table	table	NOUN
bracis-33597	248	13	 	 	SPACE
bracis-33597	248	14	1	1	NUM
bracis-33597	248	15	the	the	DET
bracis-33597	248	16	equivalence	equivalence	NOUN
bracis-33597	248	17	between	between	ADP
bracis-33597	248	18	\(\beta	\(\beta	NOUN
bracis-33597	248	19	\)-semantics	\)-semantic	NOUN
bracis-33597	248	20	of	of	ADP
bracis-33597	248	21	\(\textit{baf}\)s	\(\textit{baf}\)s	NOUN
bracis-33597	248	22	and	and	CCONJ
bracis-33597	248	23	3	3	NUM
bracis-33597	248	24	-	-	PUNCT
bracis-33597	248	25	valued	value	VERB
bracis-33597	248	26	semantics	semantic	NOUN
bracis-33597	248	27	of	of	ADP
bracis-33597	248	28	\(\textit{nlp}\)s	\(\textit{nlp}\)s	PROPN
bracis-33597	248	29	.	.	PUNCT
bracis-33597	249	1	we	we	PRON
bracis-33597	249	2	emphasise	emphasise	VERB
bracis-33597	249	3	the	the	DET
bracis-33597	249	4	coincidence	coincidence	NOUN
bracis-33597	249	5	between	between	ADP
bracis-33597	249	6	l	l	ADJ
bracis-33597	249	7	-	-	ADJ
bracis-33597	249	8	stable	stable	ADJ
bracis-33597	249	9	models	model	NOUN
bracis-33597	249	10	and	and	CCONJ
bracis-33597	249	11	\(\beta	\(\beta	NOUN
bracis-33597	249	12	\)-semi	\)-semi	NOUN
bracis-33597	249	13	-	-	ADJ
bracis-33597	249	14	stable	stable	ADJ
bracis-33597	249	15	labellings	labelling	NOUN
bracis-33597	249	16	in	in	ADP
bracis-33597	249	17	table	table	NOUN
bracis-33597	249	18	 	 	SPACE
bracis-33597	249	19	1	1	NUM
bracis-33597	249	20	as	as	SCONJ
bracis-33597	249	21	it	it	PRON
bracis-33597	249	22	does	do	AUX
bracis-33597	249	23	not	not	PART
bracis-33597	249	24	occur	occur	VERB
bracis-33597	249	25	in	in	ADP
bracis-33597	249	26	[	[	X
bracis-33597	249	27	7	7	NUM
bracis-33597	249	28	]	]	PUNCT
bracis-33597	249	29	.	.	PUNCT
bracis-33597	250	1	in	in	ADP
bracis-33597	250	2	that	that	DET
bracis-33597	250	3	reference	reference	NOUN
bracis-33597	250	4	,	,	PUNCT
bracis-33597	250	5	the	the	DET
bracis-33597	250	6	corresponding	correspond	VERB
bracis-33597	250	7	\	\	PROPN
bracis-33597	250	8	(	(	PUNCT
bracis-33597	250	9	aaf	aaf	PROPN
bracis-33597	250	10	\	\	PROPN
bracis-33597	250	11	)	)	PUNCT
bracis-33597	250	12	possesses	possess	VERB
bracis-33597	250	13	two	two	NUM
bracis-33597	250	14	semi	semi	ADJ
bracis-33597	250	15	-	-	ADJ
bracis-33597	250	16	stable	stable	ADJ
bracis-33597	250	17	labellings	labelling	NOUN
bracis-33597	250	18	in	in	ADP
bracis-33597	250	19	contrast	contrast	NOUN
bracis-33597	250	20	with	with	ADP
bracis-33597	250	21	the	the	DET
bracis-33597	250	22	unique	unique	ADJ
bracis-33597	250	23	l	l	ADJ
bracis-33597	250	24	-	-	ADJ
bracis-33597	250	25	stable	stable	ADJ
bracis-33597	250	26	model	model	NOUN
bracis-33597	250	27	\(\mathcal	\(\mathcal	ADJ
bracis-33597	250	28	m_3\	m_3\	NOUN
bracis-33597	250	29	)	)	PUNCT
bracis-33597	250	30	of	of	ADP
bracis-33597	250	31	p.	p.	NOUN
bracis-33597	250	32	table	table	NOUN
bracis-33597	251	1	1	1	NUM
bracis-33597	251	2	.	.	PUNCT
bracis-33597	251	3	semantics	semantic	NOUN
bracis-33597	251	4	for	for	ADP
bracis-33597	251	5	p	p	NOUN
bracis-33597	251	6	and	and	CCONJ
bracis-33597	251	7	\(\mathcal	\(\mathcal	ADJ
bracis-33597	251	8	{	{	PUNCT
bracis-33597	251	9	b}_p\)full	b}_p\)full	ADJ
bracis-33597	251	10	size	size	NOUN
bracis-33597	251	11	table	table	NOUN
bracis-33597	251	12	note	note	VERB
bracis-33597	251	13	that	that	SCONJ
bracis-33597	251	14	if	if	SCONJ
bracis-33597	251	15	the	the	DET
bracis-33597	251	16	support	support	NOUN
bracis-33597	251	17	relation	relation	NOUN
bracis-33597	251	18	was	be	AUX
bracis-33597	251	19	ignored	ignore	VERB
bracis-33597	251	20	in	in	ADP
bracis-33597	251	21	the	the	DET
bracis-33597	251	22	framework	framework	NOUN
bracis-33597	251	23	of	of	ADP
bracis-33597	251	24	fig	fig	NOUN
bracis-33597	251	25	.	.	PUNCT
bracis-33597	251	26	 	 	SPACE
bracis-33597	251	27	2	2	NUM
bracis-33597	251	28	as	as	SCONJ
bracis-33597	251	29	was	be	AUX
bracis-33597	251	30	done	do	VERB
bracis-33597	251	31	in	in	ADP
bracis-33597	251	32	[	[	X
bracis-33597	251	33	7	7	NUM
bracis-33597	251	34	]	]	PUNCT
bracis-33597	251	35	,	,	PUNCT
bracis-33597	251	36	the	the	DET
bracis-33597	251	37	\(\beta	\(\beta	PROPN
bracis-33597	251	38	\)-complete	\)-complete	NOUN
bracis-33597	251	39	labellings	labelling	NOUN
bracis-33597	251	40	of	of	ADP
bracis-33597	251	41	\(\mathcal	\(\mathcal	ADJ
bracis-33597	251	42	{	{	PUNCT
bracis-33597	251	43	b}_p\	b}_p\	NOUN
bracis-33597	251	44	)	)	PUNCT
bracis-33597	251	45	would	would	AUX
bracis-33597	251	46	be	be	AUX
bracis-33597	251	47	\(\mathcal	\(\mathcal	ADJ
bracis-33597	251	48	{	{	PUNCT
bracis-33597	251	49	l}_1	l}_1	PROPN
bracis-33597	251	50	,	,	PUNCT
bracis-33597	251	51	\mathcal	\mathcal	PROPN
bracis-33597	251	52	{	{	PUNCT
bracis-33597	251	53	l}_2	l}_2	PROPN
bracis-33597	251	54	'	'	PUNCT
bracis-33597	251	55	,	,	PUNCT
bracis-33597	251	56	\mathcal	\mathcal	X
bracis-33597	251	57	{	{	PUNCT
bracis-33597	251	58	l}_3\	l}_3\	NOUN
bracis-33597	251	59	)	)	PUNCT
bracis-33597	251	60	,	,	PUNCT
bracis-33597	251	61	where	where	SCONJ
bracis-33597	251	62	\(\mathcal	\(\mathcal	ADJ
bracis-33597	251	63	{	{	PUNCT
bracis-33597	251	64	l}_2'\!=\	l}_2'\!=\	NOUN
bracis-33597	251	65	!	!	PUNCT
bracis-33597	252	1	(	(	PUNCT
bracis-33597	252	2	\left\	\left\	PROPN
bracis-33597	252	3	{	{	PUNCT
bracis-33597	252	4	a	a	DET
bracis-33597	252	5	\right\	\right\	ADJ
bracis-33597	252	6	}	}	PUNCT
bracis-33597	252	7	,	,	PUNCT
bracis-33597	252	8	\!\left\	\!\left\	PROPN
bracis-33597	252	9	{	{	PUNCT
bracis-33597	252	10	b	b	NOUN
bracis-33597	252	11	,	,	PUNCT
bracis-33597	252	12	c_1	c_1	PROPN
bracis-33597	252	13	\right\	\right\	ADJ
bracis-33597	252	14	}	}	PUNCT
bracis-33597	252	15	,	,	PUNCT
bracis-33597	252	16	\!\left\	\!\left\	PROPN
bracis-33597	252	17	{	{	PUNCT
bracis-33597	252	18	c_2	c_2	NOUN
bracis-33597	252	19	,	,	PUNCT
bracis-33597	252	20	d	d	PROPN
bracis-33597	252	21	,	,	PUNCT
bracis-33597	252	22	e	e	X
bracis-33597	252	23	\right\	\right\	ADV
bracis-33597	252	24	}	}	PUNCT
bracis-33597	252	25	)	)	PUNCT
bracis-33597	252	26	\	\	PROPN
bracis-33597	252	27	)	)	PUNCT
bracis-33597	252	28	,	,	PUNCT
bracis-33597	252	29	and	and	CCONJ
bracis-33597	252	30	\(\mathcal	\(\mathcal	ADJ
bracis-33597	252	31	{	{	PUNCT
bracis-33597	252	32	l}_2'\	l}_2'\	NOUN
bracis-33597	252	33	)	)	PUNCT
bracis-33597	252	34	and	and	CCONJ
bracis-33597	252	35	\(\mathcal	\(\mathcal	ADJ
bracis-33597	252	36	{	{	PUNCT
bracis-33597	252	37	l}_3\	l}_3\	NOUN
bracis-33597	252	38	)	)	PUNCT
bracis-33597	252	39	would	would	AUX
bracis-33597	252	40	be	be	AUX
bracis-33597	252	41	the	the	DET
bracis-33597	252	42	semi	semi	ADJ
bracis-33597	252	43	-	-	ADJ
bracis-33597	252	44	stable	stable	ADJ
bracis-33597	252	45	\(\beta	\(\beta	PROPN
bracis-33597	252	46	\)-complete	\)-complete	NOUN
bracis-33597	252	47	labellings	labelling	NOUN
bracis-33597	252	48	and	and	CCONJ
bracis-33597	252	49	the	the	DET
bracis-33597	252	50	correspondence	correspondence	NOUN
bracis-33597	252	51	with	with	ADP
bracis-33597	252	52	l	l	ADJ
bracis-33597	252	53	-	-	ADJ
bracis-33597	252	54	stable	stable	ADJ
bracis-33597	252	55	models	model	NOUN
bracis-33597	252	56	would	would	AUX
bracis-33597	252	57	not	not	PART
bracis-33597	252	58	sustain	sustain	VERB
bracis-33597	252	59	anymore	anymore	ADV
bracis-33597	252	60	.	.	PUNCT
bracis-33597	253	1	4	4	NUM
bracis-33597	253	2	from	from	ADP
bracis-33597	253	3	\(\textit{baf}\)s	\(\textit{baf}\)s	ADJ
bracis-33597	253	4	to	to	PART
bracis-33597	253	5	 	 	SPACE
bracis-33597	253	6	\(\textit{nlp}\)s	\(\textit{nlp}\)s	ADV
bracis-33597	253	7	now	now	ADV
bracis-33597	253	8	we	we	PRON
bracis-33597	253	9	will	will	AUX
bracis-33597	253	10	provide	provide	VERB
bracis-33597	253	11	a	a	DET
bracis-33597	253	12	translation	translation	NOUN
bracis-33597	253	13	for	for	ADP
bracis-33597	253	14	the	the	DET
bracis-33597	253	15	opposite	opposite	ADJ
bracis-33597	253	16	direction	direction	NOUN
bracis-33597	253	17	,	,	PUNCT
bracis-33597	253	18	i.e.	i.e.	X
bracis-33597	253	19	,	,	PUNCT
bracis-33597	253	20	from	from	ADP
bracis-33597	253	21	\(\textit{baf}\)s	\(\textit{baf}\)s	PROPN
bracis-33597	253	22	to	to	PART
bracis-33597	253	23	\(\textit{nlp}\)s	\(\textit{nlp}\)s	VERB
bracis-33597	253	24	.	.	PUNCT
bracis-33597	254	1	as	as	ADP
bracis-33597	254	2	in	in	ADP
bracis-33597	254	3	the	the	DET
bracis-33597	254	4	previous	previous	ADJ
bracis-33597	254	5	section	section	NOUN
bracis-33597	254	6	,	,	PUNCT
bracis-33597	254	7	this	this	DET
bracis-33597	254	8	translation	translation	NOUN
bracis-33597	254	9	guarantees	guarantee	VERB
bracis-33597	254	10	the	the	DET
bracis-33597	254	11	equivalence	equivalence	NOUN
bracis-33597	254	12	between	between	ADP
bracis-33597	254	13	the	the	DET
bracis-33597	254	14	semantics	semantic	NOUN
bracis-33597	254	15	for	for	ADP
bracis-33597	254	16	\(\textit{nlp}\)s	\(\textit{nlp}\)s	ADJ
bracis-33597	254	17	and	and	CCONJ
bracis-33597	254	18	their	their	PRON
bracis-33597	254	19	counterpart	counterpart	NOUN
bracis-33597	254	20	for	for	ADP
bracis-33597	254	21	\(\textit{baf}\)s	\(\textit{baf}\)s	PROPN
bracis-33597	254	22	.	.	PUNCT
bracis-33597	255	1	definition	definition	NOUN
bracis-33597	255	2	12	12	NUM
bracis-33597	255	3	(	(	PUNCT
bracis-33597	255	4	corresponding	corresponding	ADJ
bracis-33597	255	5	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	255	6	)	)	PUNCT
bracis-33597	255	7	)	)	PUNCT
bracis-33597	255	8	.	.	PUNCT
bracis-33597	256	1	let	let	VERB
bracis-33597	256	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	256	3	b	b	NOUN
bracis-33597	256	4	=	=	SYM
bracis-33597	256	5	(	(	PUNCT
bracis-33597	256	6	\mathcal	\mathcal	PROPN
bracis-33597	256	7	{	{	PUNCT
bracis-33597	256	8	a	a	NOUN
bracis-33597	256	9	}	}	PUNCT
bracis-33597	256	10	,	,	PUNCT
bracis-33597	256	11	att	att	PROPN
bracis-33597	256	12	,	,	PUNCT
bracis-33597	256	13	sup	sup	NOUN
bracis-33597	256	14	)	)	PUNCT
bracis-33597	256	15	\	\	NOUN
bracis-33597	256	16	)	)	PUNCT
bracis-33597	256	17	be	be	AUX
bracis-33597	256	18	a	a	DET
bracis-33597	256	19	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	256	20	)	)	PUNCT
bracis-33597	256	21	.	.	PUNCT
bracis-33597	257	1	for	for	ADP
bracis-33597	257	2	any	any	DET
bracis-33597	257	3	\(a	\(a	NOUN
bracis-33597	257	4	,	,	PUNCT
bracis-33597	257	5	b	b	PROPN
bracis-33597	257	6	\in	\in	PROPN
bracis-33597	257	7	\mathcal	\mathcal	PROPN
bracis-33597	257	8	{	{	PUNCT
bracis-33597	257	9	a}\	a}\	NUM
bracis-33597	257	10	)	)	PUNCT
bracis-33597	257	11	,	,	PUNCT
bracis-33597	257	12	define	define	VERB
bracis-33597	257	13	the	the	DET
bracis-33597	257	14	rule	rule	NOUN
bracis-33597	257	15	\(r_{a	\(r_{a	PROPN
bracis-33597	257	16	,	,	PUNCT
bracis-33597	257	17	b}\	b}\	NOUN
bracis-33597	257	18	)	)	PUNCT
bracis-33597	258	1	such	such	ADJ
bracis-33597	258	2	that	that	SCONJ
bracis-33597	258	3	\	\	PROPN
bracis-33597	258	4	(	(	PUNCT
bracis-33597	258	5	head	head	NOUN
bracis-33597	258	6	(	(	PUNCT
bracis-33597	258	7	r_{a	r_{a	PROPN
bracis-33597	258	8	,	,	PUNCT
bracis-33597	258	9	b	b	NOUN
bracis-33597	258	10	}	}	PUNCT
bracis-33597	258	11	)	)	PUNCT
bracis-33597	258	12	=	=	SYM
bracis-33597	258	13	\mathfrak	\mathfrak	PROPN
bracis-33597	258	14	{	{	PUNCT
bracis-33597	258	15	sup}(a)\	sup}(a)\	NOUN
bracis-33597	258	16	)	)	PUNCT
bracis-33597	258	17	,	,	PUNCT
bracis-33597	258	18	\	\	PROPN
bracis-33597	258	19	(	(	PUNCT
bracis-33597	258	20	body	body	NOUN
bracis-33597	258	21	^+(r_{a	^+(r_{a	NOUN
bracis-33597	258	22	,	,	PUNCT
bracis-33597	258	23	b	b	NOUN
bracis-33597	258	24	}	}	PUNCT
bracis-33597	258	25	)	)	PUNCT
bracis-33597	258	26	=	=	SYM
bracis-33597	258	27	\emptyset	\emptyset	VERB
bracis-33597	258	28	\	\	NOUN
bracis-33597	258	29	)	)	PUNCT
bracis-33597	258	30	and	and	CCONJ
bracis-33597	258	31	\	\	PROPN
bracis-33597	258	32	(	(	PUNCT
bracis-33597	258	33	body	body	NOUN
bracis-33597	258	34	^-(r_{a	^-(r_{a	ADV
bracis-33597	258	35	,	,	PUNCT
bracis-33597	258	36	b	b	NOUN
bracis-33597	258	37	}	}	PUNCT
bracis-33597	258	38	)	)	PUNCT
bracis-33597	258	39	=	=	PUNCT
bracis-33597	258	40	\{\mathtt	\{\mathtt	PROPN
bracis-33597	258	41	{	{	PUNCT
bracis-33597	258	42	not\	not\	PROPN
bracis-33597	258	43	}	}	PUNCT
bracis-33597	258	44	\mathfrak	\mathfrak	PROPN
bracis-33597	258	45	{	{	PUNCT
bracis-33597	258	46	sup}(x	sup}(x	NOUN
bracis-33597	258	47	)	)	PUNCT
bracis-33597	258	48	\mid	\mid	ADP
bracis-33597	258	49	x	x	SYM
bracis-33597	258	50	\in	\in	PROPN
bracis-33597	258	51	att	att	PROPN
bracis-33597	258	52	(	(	PUNCT
bracis-33597	258	53	b)\}\	b)\}\	PROPN
bracis-33597	258	54	)	)	PUNCT
bracis-33597	258	55	.	.	PUNCT
bracis-33597	259	1	the	the	DET
bracis-33597	259	2	corresponding	corresponding	PROPN
bracis-33597	259	3	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	259	4	)	)	PUNCT
bracis-33597	259	5	of	of	ADP
bracis-33597	259	6	\(\mathcal	\(\mathcal	ADJ
bracis-33597	259	7	b\	b\	NOUN
bracis-33597	259	8	)	)	PUNCT
bracis-33597	259	9	is	be	AUX
bracis-33597	259	10	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	259	11	{	{	PUNCT
bracis-33597	259	12	b	b	NOUN
bracis-33597	259	13	}	}	PUNCT
bracis-33597	259	14	=	=	SYM
bracis-33597	259	15	\left\	\left\	PROPN
bracis-33597	259	16	{	{	PUNCT
bracis-33597	259	17	r_{a	r_{a	PROPN
bracis-33597	259	18	,	,	PUNCT
bracis-33597	259	19	b	b	NOUN
bracis-33597	259	20	}	}	PUNCT
bracis-33597	259	21	\mid	\mid	ADP
bracis-33597	259	22	a	a	DET
bracis-33597	259	23	\in	\in	PROPN
bracis-33597	259	24	\mathcal	\mathcal	PROPN
bracis-33597	259	25	{	{	PUNCT
bracis-33597	259	26	a	a	NOUN
bracis-33597	259	27	}	}	PUNCT
bracis-33597	259	28	,	,	PUNCT
bracis-33597	259	29	b\in	b\in	PROPN
bracis-33597	259	30	\mathfrak	\mathfrak	PROPN
bracis-33597	259	31	{	{	PUNCT
bracis-33597	259	32	sup}(a	sup}(a	ADV
bracis-33597	259	33	)	)	PUNCT
bracis-33597	259	34	\right\	\right\	ADJ
bracis-33597	259	35	}	}	PUNCT
bracis-33597	259	36	\	\	NOUN
bracis-33597	259	37	)	)	PUNCT
bracis-33597	259	38	.	.	PUNCT
bracis-33597	260	1	each	each	DET
bracis-33597	260	2	argument	argument	NOUN
bracis-33597	260	3	is	be	AUX
bracis-33597	260	4	encoded	encode	VERB
bracis-33597	260	5	in	in	ADP
bracis-33597	260	6	the	the	DET
bracis-33597	260	7	corresponding	corresponding	ADJ
bracis-33597	260	8	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	260	9	)	)	PUNCT
bracis-33597	260	10	by	by	ADP
bracis-33597	260	11	its	its	PRON
bracis-33597	260	12	set	set	NOUN
bracis-33597	260	13	of	of	ADP
bracis-33597	260	14	supporters	supporter	NOUN
bracis-33597	260	15	,	,	PUNCT
bracis-33597	260	16	and	and	CCONJ
bracis-33597	260	17	the	the	DET
bracis-33597	260	18	herbrand	herbrand	NOUN
bracis-33597	260	19	base	base	NOUN
bracis-33597	260	20	of	of	ADP
bracis-33597	260	21	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	260	22	{	{	PUNCT
bracis-33597	260	23	b}\	b}\	NOUN
bracis-33597	260	24	)	)	PUNCT
bracis-33597	260	25	is	be	AUX
bracis-33597	260	26	\	\	PROPN
bracis-33597	260	27	(	(	PUNCT
bracis-33597	260	28	hb	hb	X
bracis-33597	260	29	_	_	PUNCT
bracis-33597	260	30	{	{	PUNCT
bracis-33597	260	31	p_\mathcal	p_\mathcal	ADJ
bracis-33597	260	32	{	{	PUNCT
bracis-33597	260	33	b	b	NOUN
bracis-33597	260	34	}	}	PUNCT
bracis-33597	260	35	}	}	PUNCT
bracis-33597	260	36	=	=	SYM
bracis-33597	260	37	\{\mathfrak	\{\mathfrak	PROPN
bracis-33597	260	38	{	{	PUNCT
bracis-33597	260	39	sup}(a	sup}(a	NUM
bracis-33597	260	40	)	)	PUNCT
bracis-33597	260	41	\mid	\mid	ADP
bracis-33597	260	42	a	a	DET
bracis-33597	260	43	\in	\in	PROPN
bracis-33597	260	44	\mathcal	\mathcal	PROPN
bracis-33597	260	45	{	{	PUNCT
bracis-33597	260	46	a}\}\	a}\}\	NOUN
bracis-33597	260	47	)	)	PUNCT
bracis-33597	260	48	.	.	PUNCT
bracis-33597	261	1	intuitively	intuitively	ADV
bracis-33597	261	2	,	,	PUNCT
bracis-33597	261	3	with	with	ADP
bracis-33597	261	4	respect	respect	NOUN
bracis-33597	261	5	to	to	ADP
bracis-33597	261	6	any	any	DET
bracis-33597	261	7	partial	partial	ADJ
bracis-33597	261	8	stable	stable	ADJ
bracis-33597	261	9	model	model	NOUN
bracis-33597	261	10	of	of	ADP
bracis-33597	261	11	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	261	12	{	{	PUNCT
bracis-33597	261	13	b}\	b}\	NOUN
bracis-33597	261	14	)	)	PUNCT
bracis-33597	261	15	,	,	PUNCT
bracis-33597	261	16	we	we	PRON
bracis-33597	261	17	know	know	VERB
bracis-33597	261	18	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	261	19	{	{	PUNCT
bracis-33597	261	20	sup}(a)\	sup}(a)\	NOUN
bracis-33597	261	21	)	)	PUNCT
bracis-33597	261	22	is	be	AUX
bracis-33597	261	23	true	true	ADJ
bracis-33597	261	24	iff	iff	PROPN
bracis-33597	261	25	there	there	PRON
bracis-33597	261	26	exists	exist	VERB
bracis-33597	261	27	\(b	\(b	PROPN
bracis-33597	261	28	\in	\in	PROPN
bracis-33597	261	29	\mathfrak	\mathfrak	PROPN
bracis-33597	261	30	{	{	PUNCT
bracis-33597	261	31	sup}(a)\	sup}(a)\	NOUN
bracis-33597	261	32	)	)	PUNCT
bracis-33597	261	33	such	such	ADJ
bracis-33597	261	34	that	that	SCONJ
bracis-33597	261	35	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	261	36	{	{	PUNCT
bracis-33597	261	37	sup}(x)\	sup}(x)\	PROPN
bracis-33597	261	38	)	)	PUNCT
bracis-33597	261	39	is	be	AUX
bracis-33597	261	40	false	false	ADJ
bracis-33597	261	41	for	for	ADP
bracis-33597	261	42	every	every	DET
bracis-33597	261	43	\(x	\(x	ADJ
bracis-33597	261	44	\in	\in	PROPN
bracis-33597	261	45	att	att	PROPN
bracis-33597	261	46	(	(	PUNCT
bracis-33597	261	47	b)\	b)\	NOUN
bracis-33597	261	48	)	)	PUNCT
bracis-33597	261	49	.	.	PUNCT
bracis-33597	262	1	this	this	DET
bracis-33597	262	2	property	property	NOUN
bracis-33597	262	3	follows	follow	VERB
bracis-33597	262	4	directly	directly	ADV
bracis-33597	262	5	from	from	ADP
bracis-33597	262	6	definition	definition	NOUN
bracis-33597	262	7	12	12	NUM
bracis-33597	262	8	,	,	PUNCT
bracis-33597	262	9	that	that	PRON
bracis-33597	262	10	was	be	AUX
bracis-33597	262	11	conceived	conceive	VERB
bracis-33597	262	12	to	to	PART
bracis-33597	262	13	reflect	reflect	VERB
bracis-33597	262	14	the	the	DET
bracis-33597	262	15	concept	concept	NOUN
bracis-33597	262	16	of	of	ADP
bracis-33597	262	17	acceptability	acceptability	NOUN
bracis-33597	262	18	in	in	ADP
bracis-33597	262	19	the	the	DET
bracis-33597	262	20	\(\beta	\(\beta	PROPN
bracis-33597	262	21	\)-complete	\)-complete	NOUN
bracis-33597	262	22	semantics	semantic	NOUN
bracis-33597	262	23	,	,	PUNCT
bracis-33597	262	24	where	where	SCONJ
bracis-33597	262	25	an	an	DET
bracis-33597	262	26	argument	argument	NOUN
bracis-33597	262	27	\(a	\(a	X
bracis-33597	262	28	\in	\in	PROPN
bracis-33597	262	29	\mathcal	\mathcal	PROPN
bracis-33597	262	30	{	{	PUNCT
bracis-33597	262	31	a}\	a}\	NUM
bracis-33597	262	32	)	)	PUNCT
bracis-33597	262	33	is	be	AUX
bracis-33597	262	34	accepted	accept	VERB
bracis-33597	262	35	iff	iff	PROPN
bracis-33597	262	36	there	there	PRON
bracis-33597	262	37	exists	exist	VERB
bracis-33597	262	38	\(b	\(b	PROPN
bracis-33597	262	39	\in	\in	PROPN
bracis-33597	262	40	\mathfrak	\mathfrak	PROPN
bracis-33597	262	41	{	{	PUNCT
bracis-33597	262	42	sup}(a)\	sup}(a)\	NOUN
bracis-33597	262	43	)	)	PUNCT
bracis-33597	262	44	such	such	ADJ
bracis-33597	262	45	that	that	SCONJ
bracis-33597	262	46	x	x	PRON
bracis-33597	262	47	is	be	AUX
bracis-33597	262	48	rejected	reject	VERB
bracis-33597	262	49	for	for	ADP
bracis-33597	262	50	every	every	DET
bracis-33597	262	51	\(x	\(x	ADJ
bracis-33597	262	52	\in	\in	PROPN
bracis-33597	262	53	att	att	PROPN
bracis-33597	262	54	(	(	PUNCT
bracis-33597	262	55	b)\	b)\	NOUN
bracis-33597	262	56	)	)	PUNCT
bracis-33597	262	57	.	.	PUNCT
bracis-33597	263	1	example	example	NOUN
bracis-33597	264	1	5	5	NUM
bracis-33597	264	2	let	let	VERB
bracis-33597	264	3	\(\mathcal	\(\mathcal	ADJ
bracis-33597	264	4	b	b	NOUN
bracis-33597	264	5	=	=	SYM
bracis-33597	264	6	(	(	PUNCT
bracis-33597	264	7	\mathcal	\mathcal	PROPN
bracis-33597	264	8	{	{	PUNCT
bracis-33597	264	9	a	a	NOUN
bracis-33597	264	10	}	}	PUNCT
bracis-33597	264	11	,	,	PUNCT
bracis-33597	264	12	att	att	PROPN
bracis-33597	264	13	,	,	PUNCT
bracis-33597	264	14	sup	sup	NOUN
bracis-33597	264	15	)	)	PUNCT
bracis-33597	264	16	\	\	NOUN
bracis-33597	264	17	)	)	PUNCT
bracis-33597	264	18	be	be	AUX
bracis-33597	264	19	the	the	DET
bracis-33597	264	20	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	264	21	)	)	PUNCT
bracis-33597	264	22	of	of	ADP
bracis-33597	264	23	fig	fig	NOUN
bracis-33597	264	24	.	.	PUNCT
bracis-33597	264	25	 	 	SPACE
bracis-33597	264	26	4a	4a	NOUN
bracis-33597	264	27	;	;	PUNCT
bracis-33597	264	28	its	its	PRON
bracis-33597	264	29	corresponding	corresponding	ADJ
bracis-33597	264	30	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	264	31	)	)	PUNCT
bracis-33597	264	32	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	264	33	{	{	PUNCT
bracis-33597	264	34	b}\	b}\	NOUN
bracis-33597	264	35	)	)	PUNCT
bracis-33597	264	36	is	be	AUX
bracis-33597	264	37	shown	show	VERB
bracis-33597	264	38	in	in	ADP
bracis-33597	264	39	fig	fig	NOUN
bracis-33597	264	40	.	.	PUNCT
bracis-33597	264	41	 	 	SPACE
bracis-33597	265	1	4b	4b	PROPN
bracis-33597	265	2	.	.	PUNCT
bracis-33597	266	1	fig	fig	NOUN
bracis-33597	266	2	.	.	PUNCT
bracis-33597	267	1	4	4	X
bracis-33597	267	2	.	.	X
bracis-33597	267	3	(	(	PUNCT
bracis-33597	267	4	a	a	X
bracis-33597	267	5	)	)	PUNCT
bracis-33597	267	6	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	267	7	)	)	PUNCT
bracis-33597	267	8	\(\mathcal	\(\mathcal	ADJ
bracis-33597	267	9	b\	b\	NOUN
bracis-33597	267	10	)	)	PUNCT
bracis-33597	267	11	and	and	CCONJ
bracis-33597	267	12	(	(	PUNCT
bracis-33597	267	13	b	b	X
bracis-33597	267	14	)	)	PUNCT
bracis-33597	267	15	its	its	PRON
bracis-33597	267	16	corresponding	corresponding	ADJ
bracis-33597	267	17	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	267	18	)	)	PUNCT
bracis-33597	267	19	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	267	20	{	{	PUNCT
bracis-33597	267	21	b}\	b}\	NOUN
bracis-33597	267	22	)	)	PUNCT
bracis-33597	267	23	full	full	ADJ
bracis-33597	267	24	size	size	NOUN
bracis-33597	267	25	image	image	NOUN
bracis-33597	267	26	observe	observe	VERB
bracis-33597	267	27	that	that	SCONJ
bracis-33597	267	28	distinct	distinct	ADJ
bracis-33597	267	29	arguments	argument	NOUN
bracis-33597	267	30	\(a	\(a	PROPN
bracis-33597	267	31	,	,	PUNCT
bracis-33597	267	32	a'\	a'\	PROPN
bracis-33597	267	33	)	)	PUNCT
bracis-33597	267	34	are	be	AUX
bracis-33597	267	35	associated	associate	VERB
bracis-33597	267	36	to	to	ADP
bracis-33597	267	37	the	the	DET
bracis-33597	267	38	same	same	ADJ
bracis-33597	267	39	atom	atom	NOUN
bracis-33597	267	40	if	if	SCONJ
bracis-33597	267	41	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	267	42	{	{	PUNCT
bracis-33597	267	43	sup}(a	sup}(a	ADV
bracis-33597	267	44	)	)	PUNCT
bracis-33597	267	45	=	=	SYM
bracis-33597	267	46	\mathfrak	\mathfrak	PROPN
bracis-33597	267	47	{	{	PUNCT
bracis-33597	267	48	sup}(a')\	sup}(a')\	NOUN
bracis-33597	267	49	)	)	PUNCT
bracis-33597	267	50	.	.	PUNCT
bracis-33597	268	1	for	for	ADP
bracis-33597	268	2	instance	instance	NOUN
bracis-33597	268	3	,	,	PUNCT
bracis-33597	268	4	the	the	DET
bracis-33597	268	5	corresponding	corresponding	ADJ
bracis-33597	268	6	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	268	7	)	)	PUNCT
bracis-33597	268	8	of	of	ADP
bracis-33597	268	9	example	example	NOUN
bracis-33597	268	10	4b	4b	PROPN
bracis-33597	269	1	encodes	encode	VERB
bracis-33597	269	2	both	both	DET
bracis-33597	269	3	arguments	argument	NOUN
bracis-33597	269	4	\(b_1\	\(b_1\	PROPN
bracis-33597	269	5	)	)	PUNCT
bracis-33597	269	6	and	and	CCONJ
bracis-33597	269	7	\(b_2\	\(b_2\	VERB
bracis-33597	269	8	)	)	PUNCT
bracis-33597	269	9	as	as	ADP
bracis-33597	269	10	the	the	DET
bracis-33597	269	11	atom	atom	NOUN
bracis-33597	269	12	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	269	13	{	{	PUNCT
bracis-33597	269	14	sup}(b_1	sup}(b_1	PROPN
bracis-33597	269	15	)	)	PUNCT
bracis-33597	269	16	=	=	SYM
bracis-33597	269	17	\mathfrak	\mathfrak	PROPN
bracis-33597	269	18	{	{	PUNCT
bracis-33597	269	19	sup}(b_2	sup}(b_2	PROPN
bracis-33597	269	20	)	)	PUNCT
bracis-33597	269	21	=	=	SYM
bracis-33597	269	22	\left\	\left\	PROPN
bracis-33597	269	23	{	{	PUNCT
bracis-33597	269	24	b_1	b_1	PROPN
bracis-33597	269	25	,	,	PUNCT
bracis-33597	269	26	b_2	b_2	PROPN
bracis-33597	269	27	,	,	PUNCT
bracis-33597	269	28	d\right\	d\right\	NOUN
bracis-33597	269	29	}	}	PUNCT
bracis-33597	269	30	\	\	NOUN
bracis-33597	269	31	)	)	PUNCT
bracis-33597	269	32	.	.	PUNCT
bracis-33597	270	1	from	from	ADP
bracis-33597	270	2	the	the	DET
bracis-33597	270	3	supporters	supporter	NOUN
bracis-33597	270	4	of	of	ADP
bracis-33597	270	5	\(b_1\	\(b_1\	PROPN
bracis-33597	270	6	)	)	PUNCT
bracis-33597	270	7	,	,	PUNCT
bracis-33597	270	8	we	we	PRON
bracis-33597	270	9	obtain	obtain	VERB
bracis-33597	270	10	the	the	DET
bracis-33597	270	11	rules	rule	NOUN
bracis-33597	270	12	\(r_{b_1	\(r_{b_1	NOUN
bracis-33597	270	13	,	,	PUNCT
bracis-33597	270	14	b_1	b_1	PROPN
bracis-33597	270	15	}	}	PUNCT
bracis-33597	270	16	=	=	SYM
bracis-33597	270	17	\left\	\left\	PROPN
bracis-33597	270	18	{	{	PUNCT
bracis-33597	270	19	b_1	b_1	PROPN
bracis-33597	270	20	,	,	PUNCT
bracis-33597	270	21	b_2	b_2	PROPN
bracis-33597	270	22	,	,	PUNCT
bracis-33597	270	23	d\right\	d\right\	NOUN
bracis-33597	270	24	}	}	PUNCT
bracis-33597	270	25	\leftarrow	\leftarrow	VERB
bracis-33597	270	26	\mathtt	\mathtt	PROPN
bracis-33597	270	27	{	{	PUNCT
bracis-33597	270	28	not\	not\	PROPN
bracis-33597	270	29	}	}	PUNCT
bracis-33597	270	30	\left\	\left\	PROPN
bracis-33597	270	31	{	{	PUNCT
bracis-33597	270	32	a\right\	a\right\	PROPN
bracis-33597	270	33	}	}	PUNCT
bracis-33597	270	34	,	,	PUNCT
bracis-33597	270	35	\	\	ADJ
bracis-33597	270	36	)	)	PUNCT
bracis-33597	270	37	\(\mathtt	\(\mathtt	VERB
bracis-33597	270	38	{	{	PUNCT
bracis-33597	270	39	not\	not\	PROPN
bracis-33597	270	40	}	}	PUNCT
bracis-33597	270	41	\left\	\left\	PROPN
bracis-33597	270	42	{	{	PUNCT
bracis-33597	270	43	c\right\	c\right\	PROPN
bracis-33597	270	44	}	}	PUNCT
bracis-33597	270	45	\	\	PROPN
bracis-33597	270	46	)	)	PUNCT
bracis-33597	270	47	;	;	PUNCT
bracis-33597	270	48	\(r_{b_1,b_2	\(r_{b_1,b_2	ADJ
bracis-33597	270	49	}	}	PUNCT
bracis-33597	270	50	=	=	SYM
bracis-33597	270	51	\left\	\left\	PROPN
bracis-33597	270	52	{	{	PUNCT
bracis-33597	270	53	b_1	b_1	PROPN
bracis-33597	270	54	,	,	PUNCT
bracis-33597	270	55	b_2	b_2	PROPN
bracis-33597	270	56	,	,	PUNCT
bracis-33597	270	57	d\right\	d\right\	NOUN
bracis-33597	270	58	}	}	PUNCT
bracis-33597	270	59	\leftarrow	\leftarrow	VERB
bracis-33597	270	60	\mathtt	\mathtt	PROPN
bracis-33597	270	61	{	{	PUNCT
bracis-33597	270	62	not\	not\	PROPN
bracis-33597	270	63	}	}	PUNCT
bracis-33597	270	64	\left\	\left\	PROPN
bracis-33597	270	65	{	{	PUNCT
bracis-33597	270	66	d\right\	d\right\	NOUN
bracis-33597	270	67	}	}	PUNCT
bracis-33597	270	68	\	\	NOUN
bracis-33597	270	69	)	)	PUNCT
bracis-33597	270	70	;	;	PUNCT
bracis-33597	270	71	and	and	CCONJ
bracis-33597	270	72	\(r_{b_1,d	\(r_{b_1,d	VERB
bracis-33597	270	73	}	}	PUNCT
bracis-33597	270	74	=	=	SYM
bracis-33597	270	75	\left\	\left\	PROPN
bracis-33597	270	76	{	{	PUNCT
bracis-33597	270	77	b_1	b_1	PROPN
bracis-33597	270	78	,	,	PUNCT
bracis-33597	270	79	b_2	b_2	PROPN
bracis-33597	270	80	,	,	PUNCT
bracis-33597	270	81	d\right\	d\right\	NOUN
bracis-33597	270	82	}	}	PUNCT
bracis-33597	270	83	\leftarrow	\leftarrow	VERB
bracis-33597	270	84	\mathtt	\mathtt	PROPN
bracis-33597	270	85	{	{	PUNCT
bracis-33597	270	86	not\	not\	PROPN
bracis-33597	270	87	}	}	PUNCT
bracis-33597	270	88	\left\	\left\	PROPN
bracis-33597	270	89	{	{	PUNCT
bracis-33597	270	90	b_1	b_1	PROPN
bracis-33597	270	91	,	,	PUNCT
bracis-33597	270	92	b_2	b_2	PROPN
bracis-33597	270	93	,	,	PUNCT
bracis-33597	270	94	d\right\	d\right\	NOUN
bracis-33597	270	95	}	}	PUNCT
bracis-33597	270	96	,	,	PUNCT
bracis-33597	270	97	\mathtt	\mathtt	PROPN
bracis-33597	270	98	{	{	PUNCT
bracis-33597	270	99	not\	not\	PROPN
bracis-33597	270	100	}	}	PUNCT
bracis-33597	270	101	\left\	\left\	PROPN
bracis-33597	270	102	{	{	PUNCT
bracis-33597	270	103	c\right\	c\right\	PROPN
bracis-33597	270	104	}	}	PUNCT
bracis-33597	270	105	,	,	PUNCT
bracis-33597	270	106	\mathtt	\mathtt	PROPN
bracis-33597	270	107	{	{	PUNCT
bracis-33597	270	108	not\	not\	PROPN
bracis-33597	270	109	}	}	PUNCT
bracis-33597	270	110	\left\	\left\	PROPN
bracis-33597	270	111	{	{	PUNCT
bracis-33597	270	112	e\right\	e\right\	NOUN
bracis-33597	270	113	}	}	PUNCT
bracis-33597	270	114	\	\	NOUN
bracis-33597	270	115	)	)	PUNCT
bracis-33597	270	116	.	.	PUNCT
bracis-33597	271	1	the	the	DET
bracis-33597	271	2	intuition	intuition	NOUN
bracis-33597	271	3	is	be	AUX
bracis-33597	271	4	that	that	SCONJ
bracis-33597	271	5	\(b_1\	\(b_1\	PROPN
bracis-33597	271	6	)	)	PUNCT
bracis-33597	271	7	is	be	AUX
bracis-33597	271	8	accepted	accept	VERB
bracis-33597	271	9	iff	iff	NOUN
bracis-33597	271	10	either	either	CCONJ
bracis-33597	271	11	(	(	PUNCT
bracis-33597	271	12	i	i	NOUN
bracis-33597	271	13	)	)	PUNCT
bracis-33597	271	14	a	a	PROPN
bracis-33597	271	15	and	and	CCONJ
bracis-33597	271	16	c	c	NOUN
bracis-33597	271	17	are	be	AUX
bracis-33597	271	18	rejected	reject	VERB
bracis-33597	271	19	or	or	CCONJ
bracis-33597	271	20	(	(	PUNCT
bracis-33597	271	21	ii	ii	NOUN
bracis-33597	271	22	)	)	PUNCT
bracis-33597	272	1	d	d	NOUN
bracis-33597	272	2	is	be	AUX
bracis-33597	272	3	rejected	reject	VERB
bracis-33597	272	4	or	or	CCONJ
bracis-33597	272	5	(	(	PUNCT
bracis-33597	272	6	iii	iii	X
bracis-33597	272	7	)	)	PUNCT
bracis-33597	272	8	\(b_1	\(b_1	PROPN
bracis-33597	272	9	,	,	PUNCT
bracis-33597	272	10	b_2	b_2	PROPN
bracis-33597	272	11	,	,	PUNCT
bracis-33597	272	12	c	c	X
bracis-33597	272	13	,	,	PUNCT
bracis-33597	272	14	d	d	NOUN
bracis-33597	272	15	,	,	PUNCT
bracis-33597	272	16	e\	e\	NOUN
bracis-33597	272	17	)	)	PUNCT
bracis-33597	272	18	are	be	AUX
bracis-33597	272	19	rejected	reject	VERB
bracis-33597	272	20	.	.	PUNCT
bracis-33597	273	1	condition	condition	NOUN
bracis-33597	273	2	(	(	PUNCT
bracis-33597	273	3	iii	iii	NOUN
bracis-33597	273	4	)	)	PUNCT
bracis-33597	273	5	seems	seem	VERB
bracis-33597	273	6	contradictory	contradictory	ADJ
bracis-33597	273	7	,	,	PUNCT
bracis-33597	273	8	but	but	CCONJ
bracis-33597	273	9	it	it	PRON
bracis-33597	273	10	is	be	AUX
bracis-33597	273	11	similar	similar	ADJ
bracis-33597	273	12	to	to	ADP
bracis-33597	273	13	what	what	PRON
bracis-33597	273	14	occurs	occur	VERB
bracis-33597	273	15	when	when	SCONJ
bracis-33597	273	16	an	an	DET
bracis-33597	273	17	argument	argument	NOUN
bracis-33597	273	18	attacks	attack	VERB
bracis-33597	273	19	itself	itself	PRON
bracis-33597	273	20	(	(	PUNCT
bracis-33597	273	21	e.g.	e.g.	ADV
bracis-33597	273	22	,	,	PUNCT
bracis-33597	273	23	argument	argument	NOUN
bracis-33597	273	24	e	e	NOUN
bracis-33597	273	25	is	be	AUX
bracis-33597	273	26	accepted	accept	VERB
bracis-33597	273	27	iff	iff	PROPN
bracis-33597	273	28	e	e	PROPN
bracis-33597	273	29	is	be	AUX
bracis-33597	273	30	rejected	reject	VERB
bracis-33597	273	31	)	)	PUNCT
bracis-33597	273	32	.	.	PUNCT
bracis-33597	274	1	as	as	SCONJ
bracis-33597	274	2	done	do	VERB
bracis-33597	274	3	in	in	ADP
bracis-33597	274	4	sect	sect	NOUN
bracis-33597	274	5	.	.	PUNCT
bracis-33597	274	6	 	 	SPACE
bracis-33597	275	1	3	3	NUM
bracis-33597	275	2	,	,	PUNCT
bracis-33597	275	3	we	we	PRON
bracis-33597	275	4	want	want	VERB
bracis-33597	275	5	to	to	PART
bracis-33597	275	6	establish	establish	VERB
bracis-33597	275	7	a	a	DET
bracis-33597	275	8	bijection	bijection	NOUN
bracis-33597	275	9	between	between	ADP
bracis-33597	275	10	(	(	PUNCT
bracis-33597	275	11	some	some	DET
bracis-33597	275	12	class	class	NOUN
bracis-33597	275	13	of	of	ADP
bracis-33597	275	14	)	)	PUNCT
bracis-33597	275	15	labellings	labelling	NOUN
bracis-33597	275	16	and	and	CCONJ
bracis-33597	275	17	interpretations	interpretation	NOUN
bracis-33597	275	18	,	,	PUNCT
bracis-33597	275	19	such	such	ADJ
bracis-33597	275	20	that	that	SCONJ
bracis-33597	275	21	\(\beta	\(\beta	PROPN
bracis-33597	275	22	\)-complete	\)-complete	NUM
bracis-33597	275	23	labellings	labelling	NOUN
bracis-33597	275	24	correspond	correspond	VERB
bracis-33597	275	25	to	to	ADP
bracis-33597	275	26	partial	partial	ADJ
bracis-33597	275	27	stable	stable	ADJ
bracis-33597	275	28	models	model	NOUN
bracis-33597	275	29	.	.	PUNCT
bracis-33597	276	1	however	however	ADV
bracis-33597	276	2	,	,	PUNCT
bracis-33597	276	3	we	we	PRON
bracis-33597	276	4	can	can	AUX
bracis-33597	276	5	have	have	VERB
bracis-33597	276	6	more	more	ADJ
bracis-33597	276	7	labellings	labelling	NOUN
bracis-33597	276	8	than	than	ADP
bracis-33597	276	9	interpretations	interpretation	NOUN
bracis-33597	276	10	.	.	PUNCT
bracis-33597	276	11	example	example	NOUN
bracis-33597	276	12	6	6	NUM
bracis-33597	276	13	let	let	VERB
bracis-33597	276	14	\(\mathcal	\(\mathcal	ADJ
bracis-33597	276	15	b\	b\	NOUN
bracis-33597	276	16	)	)	PUNCT
bracis-33597	276	17	be	be	VERB
bracis-33597	276	18	the	the	DET
bracis-33597	276	19	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	276	20	)	)	PUNCT
bracis-33597	276	21	\(\mathcal	\(\mathcal	PROPN
bracis-33597	276	22	b	b	NOUN
bracis-33597	276	23	=	=	SYM
bracis-33597	276	24	(	(	PUNCT
bracis-33597	276	25	\left\	\left\	PROPN
bracis-33597	276	26	{	{	PUNCT
bracis-33597	276	27	a	a	PRON
bracis-33597	276	28	,	,	PUNCT
bracis-33597	276	29	b	b	NOUN
bracis-33597	276	30	,	,	PUNCT
bracis-33597	276	31	c\right\	c\right\	PROPN
bracis-33597	276	32	}	}	PUNCT
bracis-33597	276	33	,	,	PUNCT
bracis-33597	276	34	\left\	\left\	PROPN
bracis-33597	276	35	{	{	PUNCT
bracis-33597	276	36	(	(	PUNCT
bracis-33597	276	37	c	c	X
bracis-33597	276	38	,	,	PUNCT
bracis-33597	276	39	b)\right\	b)\right\	NOUN
bracis-33597	276	40	}	}	PUNCT
bracis-33597	276	41	,	,	PUNCT
bracis-33597	276	42	\left\	\left\	PROPN
bracis-33597	276	43	{	{	PUNCT
bracis-33597	276	44	(	(	PUNCT
bracis-33597	276	45	a	a	DET
bracis-33597	276	46	,	,	PUNCT
bracis-33597	276	47	b	b	NOUN
bracis-33597	276	48	)	)	PUNCT
bracis-33597	276	49	,	,	PUNCT
bracis-33597	276	50	(	(	PUNCT
bracis-33597	276	51	b	b	X
bracis-33597	276	52	,	,	PUNCT
bracis-33597	276	53	a)\right\	a)\right\	ADJ
bracis-33597	276	54	}	}	PUNCT
bracis-33597	276	55	)	)	PUNCT
bracis-33597	276	56	\	\	PROPN
bracis-33597	276	57	)	)	PUNCT
bracis-33597	276	58	.	.	PUNCT
bracis-33597	277	1	its	its	PRON
bracis-33597	277	2	corresponding	corresponding	ADJ
bracis-33597	277	3	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	277	4	)	)	PUNCT
bracis-33597	277	5	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	277	6	{	{	PUNCT
bracis-33597	277	7	b}\	b}\	NOUN
bracis-33597	277	8	)	)	PUNCT
bracis-33597	277	9	has	have	VERB
bracis-33597	277	10	3	3	NUM
bracis-33597	277	11	rules	rule	NOUN
bracis-33597	277	12	:	:	PUNCT
bracis-33597	277	13	\(\left\	\(\left\	PROPN
bracis-33597	277	14	{	{	PUNCT
bracis-33597	277	15	a	a	PRON
bracis-33597	277	16	,	,	PUNCT
bracis-33597	277	17	b\right\	b\right\	NOUN
bracis-33597	277	18	}	}	PUNCT
bracis-33597	277	19	\leftarrow	\leftarrow	PROPN
bracis-33597	277	20	\left\	\left\	PROPN
bracis-33597	277	21	{	{	PUNCT
bracis-33597	277	22	c\right\	c\right\	PROPN
bracis-33597	277	23	}	}	PUNCT
bracis-33597	277	24	\	\	NOUN
bracis-33597	277	25	)	)	PUNCT
bracis-33597	277	26	and	and	CCONJ
bracis-33597	277	27	\(\left\	\(\left\	PROPN
bracis-33597	277	28	{	{	PUNCT
bracis-33597	277	29	a	a	DET
bracis-33597	277	30	,	,	PUNCT
bracis-33597	277	31	b\right\	b\right\	NOUN
bracis-33597	277	32	}	}	PUNCT
bracis-33597	277	33	\	\	NOUN
bracis-33597	277	34	)	)	PUNCT
bracis-33597	277	35	and	and	CCONJ
bracis-33597	277	36	\(\left\	\(\left\	ADV
bracis-33597	277	37	{	{	PUNCT
bracis-33597	277	38	c\right\	c\right\	NOUN
bracis-33597	277	39	}	}	PUNCT
bracis-33597	277	40	\	\	NOUN
bracis-33597	277	41	)	)	PUNCT
bracis-33597	277	42	.	.	PUNCT
bracis-33597	278	1	there	there	PRON
bracis-33597	278	2	are	be	VERB
bracis-33597	278	3	\(3^{|\mathcal	\(3^{|\mathcal	ADJ
bracis-33597	278	4	{	{	PUNCT
bracis-33597	278	5	a}|	a}|	PROPN
bracis-33597	278	6	}	}	PUNCT
bracis-33597	278	7	=	=	SYM
bracis-33597	278	8	27\	27\	NUM
bracis-33597	278	9	)	)	PUNCT
bracis-33597	278	10	labellings	labelling	NOUN
bracis-33597	278	11	of	of	ADP
bracis-33597	278	12	\(\mathcal	\(\mathcal	ADJ
bracis-33597	278	13	b\	b\	NOUN
bracis-33597	278	14	)	)	PUNCT
bracis-33597	278	15	and	and	CCONJ
bracis-33597	278	16	\(3^{|	\(3^{|	NOUN
bracis-33597	278	17	hb	hb	NOUN
bracis-33597	279	1	_	_	PUNCT
bracis-33597	279	2	{	{	PUNCT
bracis-33597	279	3	p_\mathcal	p_\mathcal	ADJ
bracis-33597	279	4	{	{	PUNCT
bracis-33597	279	5	b}}|	b}}|	NOUN
bracis-33597	279	6	}	}	PUNCT
bracis-33597	279	7	=	=	SYM
bracis-33597	279	8	9\	9\	NUM
bracis-33597	279	9	)	)	PUNCT
bracis-33597	279	10	interpretations	interpretation	NOUN
bracis-33597	279	11	of	of	ADP
bracis-33597	279	12	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	279	13	{	{	PUNCT
bracis-33597	279	14	b}\	b}\	NOUN
bracis-33597	279	15	)	)	PUNCT
bracis-33597	279	16	.	.	PUNCT
bracis-33597	280	1	hence	hence	ADV
bracis-33597	280	2	,	,	PUNCT
bracis-33597	280	3	there	there	PRON
bracis-33597	280	4	is	be	VERB
bracis-33597	280	5	no	no	DET
bracis-33597	280	6	bijection	bijection	NOUN
bracis-33597	280	7	between	between	ADP
bracis-33597	280	8	labellings	labelling	NOUN
bracis-33597	280	9	of	of	ADP
bracis-33597	280	10	\(\mathcal	\(\mathcal	ADJ
bracis-33597	280	11	b\	b\	NOUN
bracis-33597	280	12	)	)	PUNCT
bracis-33597	280	13	and	and	CCONJ
bracis-33597	280	14	interpretations	interpretation	NOUN
bracis-33597	280	15	of	of	ADP
bracis-33597	280	16	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	280	17	{	{	PUNCT
bracis-33597	280	18	b}\	b}\	NOUN
bracis-33597	280	19	)	)	PUNCT
bracis-33597	280	20	.	.	PUNCT
bracis-33597	281	1	notice	notice	VERB
bracis-33597	281	2	that	that	SCONJ
bracis-33597	281	3	a	a	DET
bracis-33597	281	4	labelling	labelling	NOUN
bracis-33597	281	5	may	may	AUX
bracis-33597	281	6	assign	assign	VERB
bracis-33597	281	7	different	different	ADJ
bracis-33597	281	8	labels	label	NOUN
bracis-33597	281	9	to	to	ADP
bracis-33597	281	10	a	a	PRON
bracis-33597	281	11	and	and	CCONJ
bracis-33597	281	12	b	b	NOUN
bracis-33597	281	13	,	,	PUNCT
bracis-33597	281	14	whereas	whereas	SCONJ
bracis-33597	281	15	an	an	DET
bracis-33597	281	16	interpretation	interpretation	NOUN
bracis-33597	281	17	assigns	assign	VERB
bracis-33597	281	18	only	only	ADV
bracis-33597	281	19	one	one	NUM
bracis-33597	281	20	truth	truth	NOUN
bracis-33597	281	21	value	value	NOUN
bracis-33597	281	22	to	to	ADP
bracis-33597	281	23	the	the	DET
bracis-33597	281	24	atom	atom	NOUN
bracis-33597	281	25	\(\{a	\(\{a	NOUN
bracis-33597	281	26	,	,	PUNCT
bracis-33597	281	27	b\}\	b\}\	ADJ
bracis-33597	281	28	)	)	PUNCT
bracis-33597	281	29	.	.	PUNCT
bracis-33597	282	1	although	although	SCONJ
bracis-33597	282	2	there	there	PRON
bracis-33597	282	3	is	be	VERB
bracis-33597	282	4	no	no	DET
bracis-33597	282	5	bijection	bijection	NOUN
bracis-33597	282	6	between	between	ADP
bracis-33597	282	7	labellings	labelling	NOUN
bracis-33597	282	8	and	and	CCONJ
bracis-33597	282	9	interpretations	interpretation	NOUN
bracis-33597	282	10	for	for	ADP
bracis-33597	282	11	the	the	DET
bracis-33597	282	12	example	example	NOUN
bracis-33597	282	13	above	above	ADV
bracis-33597	282	14	,	,	PUNCT
bracis-33597	282	15	there	there	PRON
bracis-33597	282	16	is	be	VERB
bracis-33597	282	17	always	always	ADV
bracis-33597	282	18	a	a	DET
bracis-33597	282	19	bijection	bijection	NOUN
bracis-33597	282	20	if	if	SCONJ
bracis-33597	282	21	we	we	PRON
bracis-33597	282	22	restrict	restrict	VERB
bracis-33597	282	23	our	our	PRON
bracis-33597	282	24	translations	translation	NOUN
bracis-33597	282	25	to	to	ADP
bracis-33597	282	26	labellings	labelling	NOUN
bracis-33597	282	27	that	that	PRON
bracis-33597	282	28	assign	assign	VERB
bracis-33597	282	29	the	the	DET
bracis-33597	282	30	same	same	ADJ
bracis-33597	282	31	label	label	NOUN
bracis-33597	282	32	to	to	ADP
bracis-33597	282	33	arguments	argument	NOUN
bracis-33597	282	34	with	with	ADP
bracis-33597	282	35	identical	identical	ADJ
bracis-33597	282	36	sets	set	NOUN
bracis-33597	282	37	of	of	ADP
bracis-33597	282	38	supporters	supporter	NOUN
bracis-33597	282	39	.	.	PUNCT
bracis-33597	283	1	definition	definition	NOUN
bracis-33597	283	2	13	13	NUM
bracis-33597	283	3	let	let	VERB
bracis-33597	283	4	\(\mathcal	\(\mathcal	ADJ
bracis-33597	283	5	b	b	NOUN
bracis-33597	283	6	=	=	SYM
bracis-33597	283	7	(	(	PUNCT
bracis-33597	283	8	\mathcal	\mathcal	PROPN
bracis-33597	283	9	{	{	PUNCT
bracis-33597	283	10	a	a	NOUN
bracis-33597	283	11	}	}	PUNCT
bracis-33597	283	12	,	,	PUNCT
bracis-33597	283	13	att	att	PROPN
bracis-33597	283	14	,	,	PUNCT
bracis-33597	283	15	sup	sup	NOUN
bracis-33597	283	16	)	)	PUNCT
bracis-33597	283	17	\	\	NOUN
bracis-33597	283	18	)	)	PUNCT
bracis-33597	283	19	be	be	AUX
bracis-33597	283	20	a	a	DET
bracis-33597	283	21	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	283	22	)	)	PUNCT
bracis-33597	283	23	.	.	PUNCT
bracis-33597	284	1	a	a	DET
bracis-33597	284	2	labelling	labelling	NOUN
bracis-33597	284	3	\(\mathcal	\(\mathcal	ADJ
bracis-33597	284	4	{	{	PUNCT
bracis-33597	284	5	l}\	l}\	PROPN
bracis-33597	284	6	)	)	PUNCT
bracis-33597	284	7	of	of	ADP
bracis-33597	284	8	\(\mathcal	\(\mathcal	ADJ
bracis-33597	284	9	b\	b\	NOUN
bracis-33597	284	10	)	)	PUNCT
bracis-33597	284	11	respects	respect	NOUN
bracis-33597	284	12	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	284	13	{	{	PUNCT
bracis-33597	284	14	sup}\	sup}\	NUM
bracis-33597	284	15	)	)	PUNCT
bracis-33597	284	16	iff	iff	NOUN
bracis-33597	284	17	for	for	ADP
bracis-33597	284	18	every	every	DET
bracis-33597	284	19	\(a	\(a	NOUN
bracis-33597	284	20	,	,	PUNCT
bracis-33597	284	21	b	b	PROPN
bracis-33597	284	22	\in	\in	PROPN
bracis-33597	284	23	\mathcal	\mathcal	PROPN
bracis-33597	284	24	{	{	PUNCT
bracis-33597	284	25	a}\	a}\	NUM
bracis-33597	284	26	)	)	PUNCT
bracis-33597	284	27	with	with	ADP
bracis-33597	284	28	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	284	29	{	{	PUNCT
bracis-33597	284	30	sup}(a	sup}(a	PROPN
bracis-33597	284	31	)	)	PUNCT
bracis-33597	284	32	=	=	SYM
bracis-33597	285	1	\mathfrak	\mathfrak	PROPN
bracis-33597	285	2	{	{	PUNCT
bracis-33597	285	3	sup}(b)\	sup}(b)\	X
bracis-33597	285	4	)	)	PUNCT
bracis-33597	285	5	it	it	PRON
bracis-33597	285	6	holds	hold	VERB
bracis-33597	285	7	\(\mathcal	\(\mathcal	ADJ
bracis-33597	285	8	{	{	PUNCT
bracis-33597	285	9	l}(a	l}(a	PROPN
bracis-33597	285	10	)	)	PUNCT
bracis-33597	286	1	=	=	SYM
bracis-33597	286	2	\mathcal	\mathcal	PROPN
bracis-33597	286	3	{	{	PUNCT
bracis-33597	286	4	l}(b)\	l}(b)\	PROPN
bracis-33597	286	5	)	)	PUNCT
bracis-33597	286	6	.	.	PUNCT
bracis-33597	287	1	for	for	ADP
bracis-33597	287	2	the	the	DET
bracis-33597	287	3	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	287	4	)	)	PUNCT
bracis-33597	287	5	\(\mathcal	\(\mathcal	ADJ
bracis-33597	287	6	b\	b\	NOUN
bracis-33597	287	7	)	)	PUNCT
bracis-33597	287	8	of	of	ADP
bracis-33597	287	9	example	example	NOUN
bracis-33597	287	10	6	6	NUM
bracis-33597	287	11	,	,	PUNCT
bracis-33597	287	12	there	there	PRON
bracis-33597	287	13	are	be	VERB
bracis-33597	287	14	9	9	NUM
bracis-33597	287	15	labellings	labelling	NOUN
bracis-33597	287	16	respecting	respect	VERB
bracis-33597	287	17	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	287	18	{	{	PUNCT
bracis-33597	287	19	sup}\	sup}\	NUM
bracis-33597	287	20	)	)	PUNCT
bracis-33597	287	21	,	,	PUNCT
bracis-33597	287	22	since	since	SCONJ
bracis-33597	287	23	a	a	DET
bracis-33597	287	24	labelling	labelling	NOUN
bracis-33597	287	25	that	that	PRON
bracis-33597	287	26	respects	respect	VERB
bracis-33597	287	27	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	287	28	{	{	PUNCT
bracis-33597	287	29	sup}\	sup}\	NOUN
bracis-33597	287	30	)	)	PUNCT
bracis-33597	287	31	assigns	assign	VERB
bracis-33597	287	32	the	the	DET
bracis-33597	287	33	same	same	ADJ
bracis-33597	287	34	label	label	NOUN
bracis-33597	287	35	to	to	ADP
bracis-33597	287	36	a	a	PRON
bracis-33597	287	37	and	and	CCONJ
bracis-33597	287	38	b.	b.	VERB
bracis-33597	287	39	the	the	DET
bracis-33597	287	40	representation	representation	NOUN
bracis-33597	287	41	of	of	ADP
bracis-33597	287	42	possibly	possibly	ADV
bracis-33597	287	43	many	many	ADJ
bracis-33597	287	44	arguments	argument	NOUN
bracis-33597	287	45	by	by	ADP
bracis-33597	287	46	the	the	DET
bracis-33597	287	47	same	same	ADJ
bracis-33597	287	48	atom	atom	NOUN
bracis-33597	287	49	is	be	AUX
bracis-33597	287	50	motivated	motivate	VERB
bracis-33597	287	51	by	by	ADP
bracis-33597	287	52	the	the	DET
bracis-33597	287	53	fact	fact	NOUN
bracis-33597	287	54	that	that	SCONJ
bracis-33597	287	55	every	every	DET
bracis-33597	287	56	\(\beta	\(\beta	PROPN
bracis-33597	287	57	\)-complete	\)-complete	NOUN
bracis-33597	287	58	labelling	labelling	NOUN
bracis-33597	287	59	satisfies	satisfy	VERB
bracis-33597	287	60	the	the	DET
bracis-33597	287	61	following	follow	VERB
bracis-33597	287	62	property	property	NOUN
bracis-33597	287	63	:	:	PUNCT
bracis-33597	287	64	proposition	proposition	NOUN
bracis-33597	287	65	1	1	NUM
bracis-33597	287	66	if	if	SCONJ
bracis-33597	287	67	\(\mathcal	\(\mathcal	ADJ
bracis-33597	287	68	{	{	PUNCT
bracis-33597	287	69	l}\	l}\	PROPN
bracis-33597	287	70	)	)	PUNCT
bracis-33597	287	71	is	be	AUX
bracis-33597	287	72	a	a	DET
bracis-33597	287	73	\(\beta	\(\beta	NOUN
bracis-33597	287	74	\)-complete	\)-complete	NOUN
bracis-33597	287	75	labelling	labelling	NOUN
bracis-33597	287	76	of	of	ADP
bracis-33597	287	77	\(\mathcal	\(\mathcal	ADJ
bracis-33597	287	78	b\	b\	NOUN
bracis-33597	287	79	)	)	PUNCT
bracis-33597	287	80	,	,	PUNCT
bracis-33597	287	81	then	then	ADV
bracis-33597	287	82	\(\mathcal	\(\mathcal	ADJ
bracis-33597	287	83	{	{	PUNCT
bracis-33597	287	84	l}\	l}\	PROPN
bracis-33597	287	85	)	)	PUNCT
bracis-33597	287	86	respects	respect	NOUN
bracis-33597	287	87	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	287	88	{	{	PUNCT
bracis-33597	287	89	sup}\	sup}\	NUM
bracis-33597	287	90	)	)	PUNCT
bracis-33597	287	91	.	.	PUNCT
bracis-33597	288	1	by	by	ADP
bracis-33597	288	2	restricting	restrict	VERB
bracis-33597	288	3	labellings	labelling	NOUN
bracis-33597	288	4	to	to	ADP
bracis-33597	288	5	those	those	PRON
bracis-33597	288	6	that	that	DET
bracis-33597	288	7	respect	respect	NOUN
bracis-33597	288	8	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	288	9	{	{	PUNCT
bracis-33597	288	10	sup}\	sup}\	NUM
bracis-33597	288	11	)	)	PUNCT
bracis-33597	288	12	,	,	PUNCT
bracis-33597	288	13	the	the	DET
bracis-33597	288	14	relationship	relationship	NOUN
bracis-33597	288	15	between	between	ADP
bracis-33597	288	16	labellings	labelling	NOUN
bracis-33597	288	17	and	and	CCONJ
bracis-33597	288	18	interpretations	interpretation	NOUN
bracis-33597	288	19	is	be	AUX
bracis-33597	288	20	straightforward	straightforward	ADJ
bracis-33597	288	21	:	:	PUNCT
bracis-33597	288	22	definition	definition	NOUN
bracis-33597	288	23	14	14	NUM
bracis-33597	288	24	(	(	PUNCT
bracis-33597	288	25	\(\mathcal	\(\mathcal	ADJ
bracis-33597	288	26	{	{	PUNCT
bracis-33597	288	27	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	288	28	{	{	PUNCT
bracis-33597	288	29	i}_\mathcal	i}_\mathcal	ADJ
bracis-33597	288	30	{	{	PUNCT
bracis-33597	288	31	b}\	b}\	NOUN
bracis-33597	288	32	)	)	PUNCT
bracis-33597	288	33	and	and	CCONJ
bracis-33597	288	34	\(\mathcal	\(\mathcal	ADJ
bracis-33597	288	35	{	{	PUNCT
bracis-33597	288	36	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	288	37	{	{	PUNCT
bracis-33597	288	38	l}_\mathcal	l}_\mathcal	ADJ
bracis-33597	288	39	{	{	PUNCT
bracis-33597	288	40	b}\	b}\	NOUN
bracis-33597	288	41	)	)	PUNCT
bracis-33597	288	42	functions	function	NOUN
bracis-33597	288	43	)	)	PUNCT
bracis-33597	288	44	.	.	PUNCT
bracis-33597	289	1	let	let	VERB
bracis-33597	289	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	289	3	b	b	NOUN
bracis-33597	289	4	=	=	SYM
bracis-33597	289	5	(	(	PUNCT
bracis-33597	289	6	\mathcal	\mathcal	PROPN
bracis-33597	289	7	{	{	PUNCT
bracis-33597	289	8	a	a	NOUN
bracis-33597	289	9	}	}	PUNCT
bracis-33597	289	10	,	,	PUNCT
bracis-33597	289	11	att	att	PROPN
bracis-33597	289	12	,	,	PUNCT
bracis-33597	289	13	sup	sup	NOUN
bracis-33597	289	14	)	)	PUNCT
bracis-33597	289	15	\	\	NOUN
bracis-33597	289	16	)	)	PUNCT
bracis-33597	289	17	be	be	AUX
bracis-33597	289	18	a	a	DET
bracis-33597	289	19	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	289	20	)	)	PUNCT
bracis-33597	289	21	and	and	CCONJ
bracis-33597	289	22	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	289	23	{	{	PUNCT
bracis-33597	289	24	b}\	b}\	NOUN
bracis-33597	289	25	)	)	PUNCT
bracis-33597	289	26	be	be	VERB
bracis-33597	289	27	its	its	PRON
bracis-33597	289	28	corresponding	corresponding	ADJ
bracis-33597	289	29	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	289	30	)	)	PUNCT
bracis-33597	289	31	.	.	PUNCT
bracis-33597	290	1	denote	denote	VERB
bracis-33597	290	2	the	the	DET
bracis-33597	290	3	set	set	NOUN
bracis-33597	290	4	of	of	ADP
bracis-33597	290	5	all	all	DET
bracis-33597	290	6	labellings	labelling	NOUN
bracis-33597	290	7	of	of	ADP
bracis-33597	290	8	\(\mathcal	\(\mathcal	ADJ
bracis-33597	290	9	b\	b\	NOUN
bracis-33597	290	10	)	)	PUNCT
bracis-33597	290	11	respecting	respect	VERB
bracis-33597	290	12	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	290	13	{	{	PUNCT
bracis-33597	290	14	sup}\	sup}\	NUM
bracis-33597	290	15	)	)	PUNCT
bracis-33597	290	16	as	as	ADP
bracis-33597	290	17	\(\mathcal	\(\mathcal	ADJ
bracis-33597	290	18	{	{	PUNCT
bracis-33597	290	19	l	l	NOUN
bracis-33597	290	20	}	}	PUNCT
bracis-33597	290	21	ab	ab	PROPN
bracis-33597	290	22	^*\	^*\	NOUN
bracis-33597	290	23	)	)	PUNCT
bracis-33597	290	24	and	and	CCONJ
bracis-33597	290	25	the	the	DET
bracis-33597	290	26	set	set	NOUN
bracis-33597	290	27	of	of	ADP
bracis-33597	290	28	all	all	DET
bracis-33597	290	29	interpretations	interpretation	NOUN
bracis-33597	290	30	of	of	ADP
bracis-33597	290	31	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	290	32	{	{	PUNCT
bracis-33597	290	33	b}\	b}\	NOUN
bracis-33597	290	34	)	)	PUNCT
bracis-33597	290	35	as	as	ADP
bracis-33597	290	36	\(\mathcal	\(\mathcal	ADJ
bracis-33597	290	37	{	{	PUNCT
bracis-33597	290	38	i	i	NOUN
bracis-33597	290	39	}	}	PUNCT
bracis-33597	290	40	nt	not	PART
bracis-33597	290	41	\	\	NOUN
bracis-33597	290	42	)	)	PUNCT
bracis-33597	290	43	.	.	PUNCT
bracis-33597	291	1	we	we	PRON
bracis-33597	291	2	introduce	introduce	VERB
bracis-33597	291	3	the	the	DET
bracis-33597	291	4	functions	function	NOUN
bracis-33597	291	5	(	(	PUNCT
bracis-33597	291	6	i	i	NOUN
bracis-33597	291	7	)	)	PUNCT
bracis-33597	291	8	\(\mathcal	\(\mathcal	ADJ
bracis-33597	291	9	{	{	PUNCT
bracis-33597	291	10	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	291	11	{	{	PUNCT
bracis-33597	291	12	i}_\mathcal	i}_\mathcal	ADJ
bracis-33597	291	13	{	{	PUNCT
bracis-33597	291	14	b	b	NOUN
bracis-33597	291	15	}	}	PUNCT
bracis-33597	291	16	:	:	PUNCT
bracis-33597	291	17	\mathcal	\mathcal	ADJ
bracis-33597	291	18	{	{	PUNCT
bracis-33597	291	19	l	l	NOUN
bracis-33597	291	20	}	}	PUNCT
bracis-33597	291	21	ab	ab	NOUN
bracis-33597	291	22	^	^	PUNCT
bracis-33597	291	23	*	*	PUNCT
bracis-33597	291	24	\rightarrow	\rightarrow	PROPN
bracis-33597	291	25	\mathcal	\mathcal	PROPN
bracis-33597	291	26	{	{	PUNCT
bracis-33597	291	27	i	i	NOUN
bracis-33597	291	28	}	}	PUNCT
bracis-33597	291	29	nt	not	PART
bracis-33597	291	30	\	\	NOUN
bracis-33597	291	31	)	)	PUNCT
bracis-33597	291	32	,	,	PUNCT
bracis-33597	291	33	in	in	ADP
bracis-33597	291	34	which	which	PRON
bracis-33597	291	35	for	for	ADP
bracis-33597	291	36	every	every	DET
bracis-33597	291	37	\(\mathcal	\(\mathcal	ADJ
bracis-33597	291	38	{	{	PUNCT
bracis-33597	291	39	l	l	NOUN
bracis-33597	291	40	}	}	PUNCT
bracis-33597	291	41	\in	\in	PROPN
bracis-33597	291	42	\mathcal	\mathcal	PROPN
bracis-33597	291	43	{	{	PUNCT
bracis-33597	291	44	l	l	NOUN
bracis-33597	291	45	}	}	PUNCT
bracis-33597	291	46	ab	ab	PROPN
bracis-33597	291	47	^*\	^*\	NOUN
bracis-33597	291	48	)	)	PUNCT
bracis-33597	291	49	,	,	PUNCT
bracis-33597	291	50	\(\mathcal	\(\mathcal	ADJ
bracis-33597	291	51	{	{	PUNCT
bracis-33597	291	52	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	291	53	{	{	PUNCT
bracis-33597	291	54	i}_\mathcal	i}_\mathcal	ADJ
bracis-33597	291	55	{	{	PUNCT
bracis-33597	291	56	b}(\mathcal	b}(\mathcal	NOUN
bracis-33597	291	57	{	{	PUNCT
bracis-33597	291	58	l})(\mathfrak	l})(\mathfrak	PROPN
bracis-33597	291	59	{	{	PUNCT
bracis-33597	291	60	sup}(a	sup}(a	NOUN
bracis-33597	291	61	)	)	PUNCT
bracis-33597	291	62	)	)	PUNCT
bracis-33597	292	1	=	=	SYM
bracis-33597	292	2	\textbf{t}\	\textbf{t}\	X
bracis-33597	292	3	)	)	PUNCT
bracis-33597	292	4	(	(	PUNCT
bracis-33597	292	5	resp	resp	NOUN
bracis-33597	292	6	.	.	PUNCT
bracis-33597	293	1	\(\textbf{f	\(\textbf{f	ADV
bracis-33597	293	2	}	}	PUNCT
bracis-33597	293	3	,	,	PUNCT
bracis-33597	293	4	\textbf{u}\	\textbf{u}\	PROPN
bracis-33597	293	5	)	)	PUNCT
bracis-33597	293	6	)	)	PUNCT
bracis-33597	293	7	if	if	SCONJ
bracis-33597	293	8	\(\mathcal	\(\mathcal	ADJ
bracis-33597	293	9	{	{	PUNCT
bracis-33597	293	10	l}(a	l}(a	PROPN
bracis-33597	293	11	)	)	PUNCT
bracis-33597	293	12	=	=	SYM
bracis-33597	293	13	\texttt{in}\	\texttt{in}\	NOUN
bracis-33597	293	14	)	)	PUNCT
bracis-33597	293	15	(	(	PUNCT
bracis-33597	293	16	resp	resp	NOUN
bracis-33597	293	17	.	.	PUNCT
bracis-33597	294	1	\(\texttt{out	\(\texttt{out	NOUN
bracis-33597	294	2	}	}	PUNCT
bracis-33597	294	3	,	,	PUNCT
bracis-33597	294	4	\texttt{undec}\	\texttt{undec}\	ADJ
bracis-33597	294	5	)	)	PUNCT
bracis-33597	294	6	)	)	PUNCT
bracis-33597	294	7	;	;	PUNCT
bracis-33597	294	8	and	and	CCONJ
bracis-33597	294	9	(	(	PUNCT
bracis-33597	294	10	ii	ii	NOUN
bracis-33597	294	11	)	)	PUNCT
bracis-33597	294	12	\(\mathcal	\(\mathcal	ADJ
bracis-33597	294	13	{	{	PUNCT
bracis-33597	294	14	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	294	15	{	{	PUNCT
bracis-33597	294	16	l}_\mathcal	l}_\mathcal	NOUN
bracis-33597	294	17	{	{	PUNCT
bracis-33597	294	18	b	b	NOUN
bracis-33597	294	19	}	}	PUNCT
bracis-33597	294	20	:	:	PUNCT
bracis-33597	294	21	\mathcal	\mathcal	ADJ
bracis-33597	294	22	{	{	PUNCT
bracis-33597	294	23	i	i	NOUN
bracis-33597	294	24	}	}	PUNCT
bracis-33597	294	25	nt	not	PART
bracis-33597	294	26	\rightarrow	\rightarrow	PROPN
bracis-33597	294	27	\mathcal	\mathcal	PROPN
bracis-33597	294	28	{	{	PUNCT
bracis-33597	294	29	l	l	NOUN
bracis-33597	294	30	}	}	PUNCT
bracis-33597	294	31	ab	ab	PROPN
bracis-33597	294	32	^*\	^*\	NOUN
bracis-33597	294	33	)	)	PUNCT
bracis-33597	294	34	,	,	PUNCT
bracis-33597	294	35	in	in	ADP
bracis-33597	294	36	which	which	PRON
bracis-33597	294	37	for	for	ADP
bracis-33597	294	38	every	every	DET
bracis-33597	294	39	\(\mathcal	\(\mathcal	ADJ
bracis-33597	294	40	m	m	ADJ
bracis-33597	294	41	\in	\in	PROPN
bracis-33597	294	42	\mathcal	\mathcal	PROPN
bracis-33597	294	43	{	{	PUNCT
bracis-33597	294	44	i	i	NOUN
bracis-33597	294	45	}	}	PUNCT
bracis-33597	294	46	nt	not	PART
bracis-33597	294	47	\	\	NOUN
bracis-33597	294	48	)	)	PUNCT
bracis-33597	294	49	,	,	PUNCT
bracis-33597	294	50	\(\mathcal	\(\mathcal	ADJ
bracis-33597	294	51	{	{	PUNCT
bracis-33597	294	52	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	294	53	{	{	PUNCT
bracis-33597	294	54	l}_\mathcal	l}_\mathcal	ADJ
bracis-33597	294	55	{	{	PUNCT
bracis-33597	294	56	b}(\mathcal	b}(\mathcal	ADJ
bracis-33597	294	57	m)(a	m)(a	PROPN
bracis-33597	294	58	)	)	PUNCT
bracis-33597	294	59	=	=	SYM
bracis-33597	294	60	\texttt{in}\	\texttt{in}\	NOUN
bracis-33597	294	61	)	)	PUNCT
bracis-33597	294	62	(	(	PUNCT
bracis-33597	294	63	resp	resp	NOUN
bracis-33597	294	64	.	.	PUNCT
bracis-33597	295	1	\(\texttt{out	\(\texttt{out	NOUN
bracis-33597	295	2	}	}	PUNCT
bracis-33597	295	3	,	,	PUNCT
bracis-33597	295	4	\texttt{undec}\	\texttt{undec}\	ADJ
bracis-33597	295	5	)	)	PUNCT
bracis-33597	295	6	)	)	PUNCT
bracis-33597	296	1	if	if	SCONJ
bracis-33597	296	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	296	3	m(\mathfrak	m(\mathfrak	X
bracis-33597	296	4	{	{	PUNCT
bracis-33597	296	5	sup}(a	sup}(a	NUM
bracis-33597	296	6	)	)	PUNCT
bracis-33597	296	7	)	)	PUNCT
bracis-33597	296	8	=	=	SYM
bracis-33597	296	9	\textbf{t}\	\textbf{t}\	X
bracis-33597	296	10	)	)	PUNCT
bracis-33597	296	11	(	(	PUNCT
bracis-33597	296	12	resp	resp	NOUN
bracis-33597	296	13	.	.	PUNCT
bracis-33597	297	1	\(\textbf{f	\(\textbf{f	ADV
bracis-33597	297	2	}	}	PUNCT
bracis-33597	297	3	,	,	PUNCT
bracis-33597	297	4	\textbf{u}\	\textbf{u}\	PROPN
bracis-33597	297	5	)	)	PUNCT
bracis-33597	297	6	)	)	PUNCT
bracis-33597	297	7	.	.	PUNCT
bracis-33597	298	1	in	in	ADP
bracis-33597	298	2	contrast	contrast	NOUN
bracis-33597	298	3	with	with	ADP
bracis-33597	298	4	\(\mathcal	\(\mathcal	ADJ
bracis-33597	298	5	{	{	PUNCT
bracis-33597	298	6	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	298	7	{	{	PUNCT
bracis-33597	298	8	i}_p\	i}_p\	NOUN
bracis-33597	298	9	)	)	PUNCT
bracis-33597	298	10	and	and	CCONJ
bracis-33597	298	11	\(\mathcal	\(\mathcal	ADJ
bracis-33597	298	12	{	{	PUNCT
bracis-33597	298	13	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	298	14	{	{	PUNCT
bracis-33597	298	15	l}_p\	l}_p\	PROPN
bracis-33597	298	16	)	)	PUNCT
bracis-33597	298	17	,	,	PUNCT
bracis-33597	298	18	the	the	DET
bracis-33597	298	19	functions	function	NOUN
bracis-33597	298	20	\(\mathcal	\(\mathcal	ADJ
bracis-33597	298	21	{	{	PUNCT
bracis-33597	298	22	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	298	23	{	{	PUNCT
bracis-33597	298	24	i}_\mathcal	i}_\mathcal	ADJ
bracis-33597	298	25	{	{	PUNCT
bracis-33597	298	26	b}\	b}\	NOUN
bracis-33597	298	27	)	)	PUNCT
bracis-33597	298	28	and	and	CCONJ
bracis-33597	298	29	\(\mathcal	\(\mathcal	ADJ
bracis-33597	298	30	{	{	PUNCT
bracis-33597	298	31	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	298	32	{	{	PUNCT
bracis-33597	298	33	l}_\mathcal	l}_\mathcal	ADJ
bracis-33597	298	34	{	{	PUNCT
bracis-33597	298	35	b}\	b}\	NOUN
bracis-33597	298	36	)	)	PUNCT
bracis-33597	298	37	are	be	AUX
bracis-33597	298	38	each	each	DET
bracis-33597	298	39	other	other	ADJ
bracis-33597	298	40	’s	’s	PART
bracis-33597	298	41	inverse	inverse	NOUN
bracis-33597	298	42	in	in	ADP
bracis-33597	298	43	the	the	DET
bracis-33597	298	44	general	general	ADJ
bracis-33597	298	45	case	case	NOUN
bracis-33597	298	46	:	:	PUNCT
bracis-33597	298	47	theorem	theorem	VERB
bracis-33597	298	48	6	6	NUM
bracis-33597	298	49	let	let	VERB
bracis-33597	298	50	\(\mathcal	\(\mathcal	ADJ
bracis-33597	298	51	b	b	NOUN
bracis-33597	298	52	=	=	SYM
bracis-33597	298	53	(	(	PUNCT
bracis-33597	298	54	\mathcal	\mathcal	PROPN
bracis-33597	298	55	{	{	PUNCT
bracis-33597	298	56	a	a	NOUN
bracis-33597	298	57	}	}	PUNCT
bracis-33597	298	58	,	,	PUNCT
bracis-33597	298	59	att	att	PROPN
bracis-33597	298	60	,	,	PUNCT
bracis-33597	298	61	sup	sup	NOUN
bracis-33597	298	62	)	)	PUNCT
bracis-33597	298	63	\	\	NOUN
bracis-33597	298	64	)	)	PUNCT
bracis-33597	298	65	be	be	AUX
bracis-33597	298	66	a	a	DET
bracis-33597	298	67	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	298	68	)	)	PUNCT
bracis-33597	298	69	and	and	CCONJ
bracis-33597	298	70	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	298	71	{	{	PUNCT
bracis-33597	298	72	b}\	b}\	NOUN
bracis-33597	298	73	)	)	PUNCT
bracis-33597	298	74	be	be	VERB
bracis-33597	298	75	its	its	PRON
bracis-33597	298	76	corresponding	corresponding	ADJ
bracis-33597	298	77	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	298	78	)	)	PUNCT
bracis-33597	298	79	.	.	PUNCT
bracis-33597	299	1	for	for	ADP
bracis-33597	299	2	any	any	DET
bracis-33597	299	3	labelling	labelling	NOUN
bracis-33597	299	4	\(\mathcal	\(\mathcal	ADJ
bracis-33597	299	5	{	{	PUNCT
bracis-33597	299	6	l}\	l}\	PROPN
bracis-33597	299	7	)	)	PUNCT
bracis-33597	299	8	of	of	ADP
bracis-33597	299	9	\(\mathcal	\(\mathcal	ADJ
bracis-33597	299	10	b\	b\	NOUN
bracis-33597	299	11	)	)	PUNCT
bracis-33597	299	12	respecting	respect	VERB
bracis-33597	299	13	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	299	14	{	{	PUNCT
bracis-33597	299	15	sup}\	sup}\	NUM
bracis-33597	299	16	)	)	PUNCT
bracis-33597	299	17	,	,	PUNCT
bracis-33597	299	18	it	it	PRON
bracis-33597	299	19	holds	hold	VERB
bracis-33597	299	20	\(\mathcal	\(\mathcal	ADJ
bracis-33597	299	21	{	{	PUNCT
bracis-33597	299	22	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	299	23	{	{	PUNCT
bracis-33597	299	24	l}_\mathcal	l}_\mathcal	ADJ
bracis-33597	299	25	{	{	PUNCT
bracis-33597	299	26	b}(\mathcal	b}(\mathcal	ADJ
bracis-33597	299	27	{	{	PUNCT
bracis-33597	299	28	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	299	29	{	{	PUNCT
bracis-33597	299	30	i}_\mathcal	i}_\mathcal	ADJ
bracis-33597	299	31	{	{	PUNCT
bracis-33597	299	32	b}(\mathcal	b}(\mathcal	NOUN
bracis-33597	299	33	{	{	PUNCT
bracis-33597	299	34	l	l	NOUN
bracis-33597	299	35	}	}	PUNCT
bracis-33597	299	36	)	)	PUNCT
bracis-33597	299	37	)	)	PUNCT
bracis-33597	300	1	=	=	PUNCT
bracis-33597	300	2	\mathcal	\mathcal	ADJ
bracis-33597	300	3	{	{	PUNCT
bracis-33597	300	4	l}\	l}\	PROPN
bracis-33597	300	5	)	)	PUNCT
bracis-33597	300	6	;	;	PUNCT
bracis-33597	300	7	and	and	CCONJ
bracis-33597	300	8	for	for	ADP
bracis-33597	300	9	any	any	DET
bracis-33597	300	10	interpretation	interpretation	NOUN
bracis-33597	300	11	\(\mathcal	\(\mathcal	ADJ
bracis-33597	300	12	{	{	PUNCT
bracis-33597	300	13	i}\	i}\	NUM
bracis-33597	300	14	)	)	PUNCT
bracis-33597	300	15	of	of	ADP
bracis-33597	300	16	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	300	17	{	{	PUNCT
bracis-33597	300	18	b}\	b}\	NOUN
bracis-33597	300	19	)	)	PUNCT
bracis-33597	300	20	,	,	PUNCT
bracis-33597	300	21	it	it	PRON
bracis-33597	300	22	holds	hold	VERB
bracis-33597	300	23	\(\mathcal	\(\mathcal	ADJ
bracis-33597	300	24	{	{	PUNCT
bracis-33597	300	25	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	300	26	{	{	PUNCT
bracis-33597	300	27	i}_\mathcal	i}_\mathcal	ADJ
bracis-33597	300	28	{	{	PUNCT
bracis-33597	300	29	b}(\mathcal	b}(\mathcal	NOUN
bracis-33597	300	30	{	{	PUNCT
bracis-33597	300	31	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	300	32	{	{	PUNCT
bracis-33597	300	33	l}_\mathcal	l}_\mathcal	ADJ
bracis-33597	300	34	{	{	PUNCT
bracis-33597	300	35	b}(\mathcal	b}(\mathcal	NOUN
bracis-33597	300	36	{	{	PUNCT
bracis-33597	300	37	i	i	NOUN
bracis-33597	300	38	}	}	PUNCT
bracis-33597	300	39	)	)	PUNCT
bracis-33597	300	40	)	)	PUNCT
bracis-33597	301	1	=	=	PUNCT
bracis-33597	301	2	\mathcal	\mathcal	ADJ
bracis-33597	301	3	{	{	PUNCT
bracis-33597	301	4	i}\	i}\	NUM
bracis-33597	301	5	)	)	PUNCT
bracis-33597	301	6	.	.	PUNCT
bracis-33597	302	1	the	the	DET
bracis-33597	302	2	next	next	ADJ
bracis-33597	302	3	lemma	lemma	PROPN
bracis-33597	302	4	is	be	AUX
bracis-33597	302	5	essential	essential	ADJ
bracis-33597	302	6	for	for	ADP
bracis-33597	302	7	the	the	DET
bracis-33597	302	8	correspondence	correspondence	NOUN
bracis-33597	302	9	between	between	ADP
bracis-33597	302	10	\(\beta	\(\beta	PROPN
bracis-33597	302	11	\)-complete	\)-complete	NUM
bracis-33597	302	12	labellings	labelling	NOUN
bracis-33597	302	13	of	of	ADP
bracis-33597	302	14	\(\mathcal	\(\mathcal	ADJ
bracis-33597	302	15	b\	b\	NOUN
bracis-33597	302	16	)	)	PUNCT
bracis-33597	302	17	and	and	CCONJ
bracis-33597	302	18	partial	partial	ADJ
bracis-33597	302	19	stable	stable	ADJ
bracis-33597	302	20	models	model	NOUN
bracis-33597	302	21	of	of	ADP
bracis-33597	302	22	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	302	23	{	{	PUNCT
bracis-33597	302	24	b}\	b}\	NOUN
bracis-33597	302	25	)	)	PUNCT
bracis-33597	302	26	.	.	PUNCT
bracis-33597	303	1	its	its	PRON
bracis-33597	303	2	proof	proof	NOUN
bracis-33597	303	3	follows	follow	VERB
bracis-33597	303	4	straightforwardly	straightforwardly	ADV
bracis-33597	303	5	from	from	ADP
bracis-33597	303	6	definitions	definition	NOUN
bracis-33597	303	7	12	12	NUM
bracis-33597	303	8	and	and	CCONJ
bracis-33597	303	9	14	14	NUM
bracis-33597	303	10	.	.	PUNCT
bracis-33597	304	1	lemma	lemma	PROPN
bracis-33597	304	2	1	1	NUM
bracis-33597	304	3	let	let	VERB
bracis-33597	304	4	\(\mathcal	\(\mathcal	ADJ
bracis-33597	304	5	b	b	NOUN
bracis-33597	304	6	=	=	SYM
bracis-33597	304	7	(	(	PUNCT
bracis-33597	304	8	\mathcal	\mathcal	PROPN
bracis-33597	304	9	{	{	PUNCT
bracis-33597	304	10	a	a	NOUN
bracis-33597	304	11	}	}	PUNCT
bracis-33597	304	12	,	,	PUNCT
bracis-33597	304	13	att	att	PROPN
bracis-33597	304	14	,	,	PUNCT
bracis-33597	304	15	sup	sup	NOUN
bracis-33597	304	16	)	)	PUNCT
bracis-33597	304	17	\	\	NOUN
bracis-33597	304	18	)	)	PUNCT
bracis-33597	304	19	be	be	AUX
bracis-33597	304	20	a	a	DET
bracis-33597	304	21	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	304	22	)	)	PUNCT
bracis-33597	304	23	and	and	CCONJ
bracis-33597	304	24	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	304	25	{	{	PUNCT
bracis-33597	304	26	b}\	b}\	NOUN
bracis-33597	304	27	)	)	PUNCT
bracis-33597	304	28	be	be	VERB
bracis-33597	304	29	its	its	PRON
bracis-33597	304	30	corresponding	corresponding	ADJ
bracis-33597	304	31	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	304	32	)	)	PUNCT
bracis-33597	304	33	.	.	PUNCT
bracis-33597	305	1	let	let	VERB
bracis-33597	305	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	305	3	{	{	PUNCT
bracis-33597	305	4	l}\	l}\	PROPN
bracis-33597	305	5	)	)	PUNCT
bracis-33597	305	6	be	be	AUX
bracis-33597	305	7	a	a	DET
bracis-33597	305	8	labelling	labelling	NOUN
bracis-33597	305	9	of	of	ADP
bracis-33597	305	10	\(\mathcal	\(\mathcal	ADJ
bracis-33597	305	11	b\	b\	NOUN
bracis-33597	305	12	)	)	PUNCT
bracis-33597	305	13	respecting	respect	VERB
bracis-33597	305	14	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	305	15	{	{	PUNCT
bracis-33597	305	16	sup}\	sup}\	NUM
bracis-33597	305	17	)	)	PUNCT
bracis-33597	305	18	and	and	CCONJ
bracis-33597	305	19	\(\mathcal	\(\mathcal	ADJ
bracis-33597	305	20	m\	m\	NOUN
bracis-33597	305	21	)	)	PUNCT
bracis-33597	305	22	be	be	VERB
bracis-33597	305	23	an	an	DET
bracis-33597	305	24	interpretation	interpretation	NOUN
bracis-33597	305	25	of	of	ADP
bracis-33597	305	26	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	305	27	{	{	PUNCT
bracis-33597	305	28	b}\	b}\	NOUN
bracis-33597	305	29	)	)	PUNCT
bracis-33597	305	30	.	.	PUNCT
bracis-33597	306	1	if	if	SCONJ
bracis-33597	306	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	306	3	{	{	PUNCT
bracis-33597	306	4	l	l	NOUN
bracis-33597	306	5	}	}	PUNCT
bracis-33597	306	6	=	=	PUNCT
bracis-33597	306	7	\mathcal	\mathcal	ADJ
bracis-33597	306	8	{	{	PUNCT
bracis-33597	306	9	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	306	10	{	{	PUNCT
bracis-33597	306	11	l}_\mathcal	l}_\mathcal	ADJ
bracis-33597	306	12	{	{	PUNCT
bracis-33597	306	13	b}(\mathcal	b}(\mathcal	ADJ
bracis-33597	306	14	m)\	m)\	NOUN
bracis-33597	306	15	)	)	PUNCT
bracis-33597	306	16	or	or	CCONJ
bracis-33597	306	17	\(\mathcal	\(\mathcal	ADJ
bracis-33597	306	18	m	m	NOUN
bracis-33597	306	19	=	=	ADJ
bracis-33597	306	20	\mathcal	\mathcal	ADJ
bracis-33597	306	21	{	{	PUNCT
bracis-33597	306	22	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	306	23	{	{	PUNCT
bracis-33597	306	24	i}_\mathcal	i}_\mathcal	ADJ
bracis-33597	306	25	{	{	PUNCT
bracis-33597	306	26	b}(\mathcal	b}(\mathcal	NOUN
bracis-33597	306	27	{	{	PUNCT
bracis-33597	306	28	l})\	l})\	X
bracis-33597	306	29	)	)	PUNCT
bracis-33597	306	30	,	,	PUNCT
bracis-33597	306	31	then	then	ADV
bracis-33597	306	32	for	for	ADP
bracis-33597	306	33	any	any	DET
bracis-33597	306	34	\(a	\(a	ADJ
bracis-33597	306	35	\in	\in	PROPN
bracis-33597	306	36	\mathcal	\mathcal	PROPN
bracis-33597	306	37	{	{	PUNCT
bracis-33597	306	38	a}\	a}\	NUM
bracis-33597	306	39	)	)	PUNCT
bracis-33597	306	40	,	,	PUNCT
bracis-33597	306	41	(	(	PUNCT
bracis-33597	306	42	i	i	NOUN
bracis-33597	306	43	)	)	PUNCT
bracis-33597	306	44	\	\	PROPN
bracis-33597	306	45	(	(	PUNCT
bracis-33597	306	46	att	att	PROPN
bracis-33597	306	47	(	(	PUNCT
bracis-33597	306	48	b	b	NOUN
bracis-33597	306	49	)	)	PUNCT
bracis-33597	306	50	\subseteq	\subseteq	PROPN
bracis-33597	306	51	\texttt{out}(\mathcal	\texttt{out}(\mathcal	PROPN
bracis-33597	306	52	{	{	PUNCT
bracis-33597	306	53	l})\	l})\	X
bracis-33597	306	54	)	)	PUNCT
bracis-33597	306	55	for	for	ADP
bracis-33597	306	56	some	some	DET
bracis-33597	306	57	\(b	\(b	NOUN
bracis-33597	306	58	\in	\in	PROPN
bracis-33597	306	59	\mathfrak	\mathfrak	PROPN
bracis-33597	306	60	{	{	PUNCT
bracis-33597	306	61	sup}(a)\	sup}(a)\	NOUN
bracis-33597	306	62	)	)	PUNCT
bracis-33597	306	63	iff	iff	PROPN
bracis-33597	306	64	\(\{\mathfrak	\(\{\mathfrak	NOUN
bracis-33597	306	65	{	{	PUNCT
bracis-33597	306	66	sup}(x	sup}(x	NUM
bracis-33597	306	67	)	)	PUNCT
bracis-33597	306	68	\mid	\mid	ADP
bracis-33597	306	69	\mathtt	\mathtt	PROPN
bracis-33597	306	70	{	{	PUNCT
bracis-33597	306	71	not\	not\	PROPN
bracis-33597	306	72	}	}	PUNCT
bracis-33597	306	73	\mathfrak	\mathfrak	PROPN
bracis-33597	306	74	{	{	PUNCT
bracis-33597	306	75	sup}(x	sup}(x	NOUN
bracis-33597	306	76	)	)	PUNCT
bracis-33597	306	77	\in	\in	ADJ
bracis-33597	306	78	body	body	NOUN
bracis-33597	306	79	^-(r)\	^-(r)\	SYM
bracis-33597	306	80	}	}	PUNCT
bracis-33597	306	81	\subseteq	\subseteq	PROPN
bracis-33597	306	82	\textbf{f}(\mathcal	\textbf{f}(\mathcal	ADJ
bracis-33597	306	83	m)\	m)\	NOUN
bracis-33597	306	84	)	)	PUNCT
bracis-33597	306	85	for	for	ADP
bracis-33597	306	86	some	some	DET
bracis-33597	306	87	\(r	\(r	ADJ
bracis-33597	306	88	\in	\in	ADJ
bracis-33597	306	89	p_\mathcal	p_\mathcal	ADJ
bracis-33597	306	90	{	{	PUNCT
bracis-33597	306	91	b}\	b}\	NOUN
bracis-33597	306	92	)	)	PUNCT
bracis-33597	306	93	with	with	ADP
bracis-33597	306	94	\	\	PROPN
bracis-33597	306	95	(	(	PUNCT
bracis-33597	306	96	head	head	NOUN
bracis-33597	306	97	(	(	PUNCT
bracis-33597	306	98	r	r	NOUN
bracis-33597	306	99	)	)	PUNCT
bracis-33597	306	100	=	=	SYM
bracis-33597	306	101	\mathfrak	\mathfrak	PROPN
bracis-33597	306	102	{	{	PUNCT
bracis-33597	306	103	sup}(a)\	sup}(a)\	NOUN
bracis-33597	306	104	)	)	PUNCT
bracis-33597	306	105	;	;	PUNCT
bracis-33597	306	106	and	and	CCONJ
bracis-33597	306	107	(	(	PUNCT
bracis-33597	306	108	ii	ii	NOUN
bracis-33597	306	109	)	)	PUNCT
bracis-33597	306	110	\	\	PROPN
bracis-33597	306	111	(	(	PUNCT
bracis-33597	306	112	att	att	PROPN
bracis-33597	306	113	(	(	PUNCT
bracis-33597	306	114	b	b	NOUN
bracis-33597	306	115	)	)	PUNCT
bracis-33597	306	116	\cap	\cap	PROPN
bracis-33597	306	117	\texttt{in}(\mathcal	\texttt{in}(\mathcal	PROPN
bracis-33597	306	118	{	{	PUNCT
bracis-33597	306	119	l	l	NOUN
bracis-33597	306	120	}	}	PUNCT
bracis-33597	306	121	)	)	PUNCT
bracis-33597	307	1	\ne	\ne	PROPN
bracis-33597	307	2	\emptyset	\emptyset	VERB
bracis-33597	307	3	\	\	NOUN
bracis-33597	307	4	)	)	PUNCT
bracis-33597	307	5	for	for	ADP
bracis-33597	307	6	every	every	DET
bracis-33597	307	7	\(b	\(b	PROPN
bracis-33597	307	8	\in	\in	PROPN
bracis-33597	307	9	\mathfrak	\mathfrak	PROPN
bracis-33597	307	10	{	{	PUNCT
bracis-33597	307	11	sup}(a)\	sup}(a)\	NOUN
bracis-33597	307	12	)	)	PUNCT
bracis-33597	307	13	iff	iff	PROPN
bracis-33597	307	14	\(\{\mathfrak	\(\{\mathfrak	NOUN
bracis-33597	307	15	{	{	PUNCT
bracis-33597	307	16	sup}(x	sup}(x	NUM
bracis-33597	307	17	)	)	PUNCT
bracis-33597	307	18	\mid	\mid	ADP
bracis-33597	307	19	\mathtt	\mathtt	PROPN
bracis-33597	307	20	{	{	PUNCT
bracis-33597	307	21	not\	not\	PROPN
bracis-33597	307	22	}	}	PUNCT
bracis-33597	307	23	\mathfrak	\mathfrak	PROPN
bracis-33597	307	24	{	{	PUNCT
bracis-33597	307	25	sup}(x	sup}(x	NOUN
bracis-33597	307	26	)	)	PUNCT
bracis-33597	307	27	\in	\in	ADJ
bracis-33597	307	28	body	body	NOUN
bracis-33597	307	29	^-(r)\	^-(r)\	SYM
bracis-33597	307	30	}	}	PUNCT
bracis-33597	307	31	\cap	\cap	PROPN
bracis-33597	307	32	\textbf{t}(\mathcal	\textbf{t}(\mathcal	PROPN
bracis-33597	307	33	m	m	PROPN
bracis-33597	307	34	)	)	PUNCT
bracis-33597	307	35	\ne	\ne	PROPN
bracis-33597	307	36	\emptyset	\emptyset	VERB
bracis-33597	307	37	\	\	NOUN
bracis-33597	307	38	)	)	PUNCT
bracis-33597	307	39	for	for	ADP
bracis-33597	307	40	every	every	DET
bracis-33597	307	41	rule	rule	NOUN
bracis-33597	307	42	\(r	\(r	VERB
bracis-33597	307	43	\in	\in	ADJ
bracis-33597	307	44	p_\mathcal	p_\mathcal	ADJ
bracis-33597	307	45	{	{	PUNCT
bracis-33597	307	46	b}\	b}\	NOUN
bracis-33597	307	47	)	)	PUNCT
bracis-33597	307	48	with	with	ADP
bracis-33597	307	49	\	\	PROPN
bracis-33597	307	50	(	(	PUNCT
bracis-33597	307	51	head	head	NOUN
bracis-33597	307	52	(	(	PUNCT
bracis-33597	307	53	r	r	NOUN
bracis-33597	307	54	)	)	PUNCT
bracis-33597	307	55	=	=	SYM
bracis-33597	307	56	\mathfrak	\mathfrak	PROPN
bracis-33597	307	57	{	{	PUNCT
bracis-33597	307	58	sup}(a)\	sup}(a)\	NOUN
bracis-33597	307	59	)	)	PUNCT
bracis-33597	307	60	.	.	PUNCT
bracis-33597	308	1	from	from	ADP
bracis-33597	308	2	lemma	lemma	PROPN
bracis-33597	308	3	1	1	NUM
bracis-33597	308	4	,	,	PUNCT
bracis-33597	308	5	we	we	PRON
bracis-33597	308	6	obtain	obtain	VERB
bracis-33597	308	7	a	a	DET
bracis-33597	308	8	similar	similar	ADJ
bracis-33597	308	9	result	result	NOUN
bracis-33597	308	10	to	to	AUX
bracis-33597	308	11	theorem	theorem	VERB
bracis-33597	308	12	4	4	NUM
bracis-33597	308	13	:	:	PUNCT
bracis-33597	308	14	theorem	theorem	ADJ
bracis-33597	308	15	7	7	NUM
bracis-33597	308	16	let	let	VERB
bracis-33597	308	17	\(\mathcal	\(\mathcal	ADJ
bracis-33597	308	18	b	b	NOUN
bracis-33597	308	19	=	=	SYM
bracis-33597	308	20	(	(	PUNCT
bracis-33597	308	21	\mathcal	\mathcal	PROPN
bracis-33597	308	22	{	{	PUNCT
bracis-33597	308	23	a	a	NOUN
bracis-33597	308	24	}	}	PUNCT
bracis-33597	308	25	,	,	PUNCT
bracis-33597	308	26	att	att	PROPN
bracis-33597	308	27	,	,	PUNCT
bracis-33597	308	28	sup	sup	NOUN
bracis-33597	308	29	)	)	PUNCT
bracis-33597	308	30	\	\	NOUN
bracis-33597	308	31	)	)	PUNCT
bracis-33597	308	32	be	be	AUX
bracis-33597	308	33	a	a	DET
bracis-33597	308	34	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	308	35	)	)	PUNCT
bracis-33597	308	36	with	with	ADP
bracis-33597	308	37	corresponding	correspond	VERB
bracis-33597	308	38	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	308	39	)	)	PUNCT
bracis-33597	308	40	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	308	41	{	{	PUNCT
bracis-33597	308	42	b}\	b}\	NOUN
bracis-33597	308	43	)	)	PUNCT
bracis-33597	308	44	,	,	PUNCT
bracis-33597	308	45	\(\mathcal	\(\mathcal	ADJ
bracis-33597	308	46	{	{	PUNCT
bracis-33597	308	47	l}\	l}\	PROPN
bracis-33597	308	48	)	)	PUNCT
bracis-33597	308	49	be	be	AUX
bracis-33597	308	50	a	a	DET
bracis-33597	308	51	labelling	labelling	NOUN
bracis-33597	308	52	of	of	ADP
bracis-33597	308	53	\(\mathcal	\(\mathcal	ADJ
bracis-33597	308	54	b\	b\	NOUN
bracis-33597	308	55	)	)	PUNCT
bracis-33597	308	56	respecting	respect	VERB
bracis-33597	308	57	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	308	58	{	{	PUNCT
bracis-33597	308	59	sup}\	sup}\	NUM
bracis-33597	308	60	)	)	PUNCT
bracis-33597	308	61	and	and	CCONJ
bracis-33597	308	62	\(\mathcal	\(\mathcal	ADJ
bracis-33597	308	63	m\	m\	NOUN
bracis-33597	308	64	)	)	PUNCT
bracis-33597	308	65	be	be	VERB
bracis-33597	308	66	an	an	DET
bracis-33597	308	67	interpretation	interpretation	NOUN
bracis-33597	308	68	of	of	ADP
bracis-33597	308	69	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	308	70	{	{	PUNCT
bracis-33597	308	71	b}\	b}\	NOUN
bracis-33597	308	72	)	)	PUNCT
bracis-33597	308	73	.	.	PUNCT
bracis-33597	309	1	\(\mathcal	\(\mathcal	ADJ
bracis-33597	309	2	{	{	PUNCT
bracis-33597	309	3	l}\	l}\	PROPN
bracis-33597	309	4	)	)	PUNCT
bracis-33597	309	5	is	be	AUX
bracis-33597	309	6	a	a	DET
bracis-33597	309	7	\(\beta	\(\beta	NOUN
bracis-33597	309	8	\)-complete	\)-complete	NOUN
bracis-33597	309	9	labelling	labelling	NOUN
bracis-33597	309	10	of	of	ADP
bracis-33597	309	11	\(\mathcal	\(\mathcal	ADJ
bracis-33597	309	12	b\	b\	NOUN
bracis-33597	309	13	)	)	PUNCT
bracis-33597	309	14	iff	iff	PROPN
bracis-33597	309	15	\(\mathcal	\(\mathcal	ADJ
bracis-33597	309	16	{	{	PUNCT
bracis-33597	309	17	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	309	18	{	{	PUNCT
bracis-33597	309	19	i}_\mathcal	i}_\mathcal	ADJ
bracis-33597	309	20	{	{	PUNCT
bracis-33597	309	21	b}(\mathcal	b}(\mathcal	NOUN
bracis-33597	309	22	{	{	PUNCT
bracis-33597	309	23	l})\	l})\	X
bracis-33597	309	24	)	)	PUNCT
bracis-33597	309	25	is	be	AUX
bracis-33597	309	26	a	a	DET
bracis-33597	309	27	partial	partial	ADJ
bracis-33597	309	28	stable	stable	ADJ
bracis-33597	309	29	model	model	NOUN
bracis-33597	309	30	of	of	ADP
bracis-33597	309	31	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	309	32	{	{	PUNCT
bracis-33597	309	33	b}\	b}\	NOUN
bracis-33597	309	34	)	)	PUNCT
bracis-33597	309	35	;	;	PUNCT
bracis-33597	309	36	and	and	CCONJ
bracis-33597	310	1	\(\mathcal	\(\mathcal	ADJ
bracis-33597	310	2	m\	m\	NOUN
bracis-33597	310	3	)	)	PUNCT
bracis-33597	310	4	is	be	AUX
bracis-33597	310	5	a	a	DET
bracis-33597	310	6	partial	partial	ADJ
bracis-33597	310	7	stable	stable	ADJ
bracis-33597	310	8	model	model	NOUN
bracis-33597	310	9	of	of	ADP
bracis-33597	310	10	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	310	11	{	{	PUNCT
bracis-33597	310	12	b}\	b}\	NOUN
bracis-33597	310	13	)	)	PUNCT
bracis-33597	310	14	iff	iff	PROPN
bracis-33597	310	15	\(\mathcal	\(\mathcal	ADJ
bracis-33597	310	16	{	{	PUNCT
bracis-33597	310	17	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	310	18	{	{	PUNCT
bracis-33597	310	19	l}_\mathcal	l}_\mathcal	ADJ
bracis-33597	310	20	{	{	PUNCT
bracis-33597	310	21	b}(\mathcal	b}(\mathcal	ADJ
bracis-33597	310	22	m)\	m)\	NOUN
bracis-33597	310	23	)	)	PUNCT
bracis-33597	310	24	is	be	AUX
bracis-33597	310	25	a	a	DET
bracis-33597	310	26	\(\beta	\(\beta	NOUN
bracis-33597	310	27	\)-complete	\)-complete	NOUN
bracis-33597	310	28	labelling	labelling	NOUN
bracis-33597	310	29	of	of	ADP
bracis-33597	310	30	\(\mathcal	\(\mathcal	ADJ
bracis-33597	310	31	b\	b\	NOUN
bracis-33597	310	32	)	)	PUNCT
bracis-33597	310	33	.	.	PUNCT
bracis-33597	311	1	proof	proof	NOUN
bracis-33597	311	2	owing	owe	VERB
bracis-33597	311	3	to	to	ADP
bracis-33597	311	4	space	space	NOUN
bracis-33597	311	5	restrictions	restriction	NOUN
bracis-33597	311	6	,	,	PUNCT
bracis-33597	311	7	only	only	ADV
bracis-33597	311	8	part	part	NOUN
bracis-33597	311	9	of	of	ADP
bracis-33597	311	10	the	the	DET
bracis-33597	311	11	proof	proof	NOUN
bracis-33597	311	12	is	be	AUX
bracis-33597	311	13	shown	show	VERB
bracis-33597	311	14	.	.	PUNCT
bracis-33597	312	1	assume	assume	VERB
bracis-33597	312	2	\(\mathcal	\(\mathcal	ADJ
bracis-33597	312	3	{	{	PUNCT
bracis-33597	312	4	l}\	l}\	PROPN
bracis-33597	312	5	)	)	PUNCT
bracis-33597	312	6	is	be	AUX
bracis-33597	312	7	a	a	DET
bracis-33597	312	8	\(\beta	\(\beta	NOUN
bracis-33597	312	9	\)-complete	\)-complete	NOUN
bracis-33597	312	10	labelling	labelling	NOUN
bracis-33597	312	11	of	of	ADP
bracis-33597	312	12	\(\mathcal	\(\mathcal	ADJ
bracis-33597	312	13	b\	b\	NOUN
bracis-33597	312	14	)	)	PUNCT
bracis-33597	312	15	.	.	PUNCT
bracis-33597	313	1	it	it	PRON
bracis-33597	313	2	holds	hold	VERB
bracis-33597	313	3	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	313	4	{	{	PUNCT
bracis-33597	313	5	sup}(a	sup}(a	ADJ
bracis-33597	313	6	)	)	PUNCT
bracis-33597	313	7	\in	\in	PROPN
bracis-33597	313	8	\textbf{t}(\mathcal	\textbf{t}(\mathcal	ADJ
bracis-33597	313	9	{	{	PUNCT
bracis-33597	313	10	i	i	NOUN
bracis-33597	313	11	}	}	PUNCT
bracis-33597	313	12	)	)	PUNCT
bracis-33597	314	1	\longleftrightarrow	\longleftrightarrow	PROPN
bracis-33597	314	2	\mathcal	\mathcal	PROPN
bracis-33597	314	3	{	{	PUNCT
bracis-33597	314	4	l}(a	l}(a	PROPN
bracis-33597	314	5	)	)	PUNCT
bracis-33597	314	6	=	=	VERB
bracis-33597	315	1	\texttt{in}\longleftrightarrow	\texttt{in}\longleftrightarrow	PROPN
bracis-33597	315	2	\exists	\exists	PROPN
bracis-33597	315	3	b	b	PROPN
bracis-33597	315	4	\in	\in	PROPN
bracis-33597	315	5	\mathfrak	\mathfrak	PROPN
bracis-33597	315	6	{	{	PUNCT
bracis-33597	315	7	sup}(a	sup}(a	PROPN
bracis-33597	315	8	):	):	PUNCT
bracis-33597	315	9	att	att	PROPN
bracis-33597	315	10	(	(	PUNCT
bracis-33597	315	11	b	b	NOUN
bracis-33597	315	12	)	)	PUNCT
bracis-33597	315	13	\subseteq	\subseteq	PROPN
bracis-33597	315	14	\texttt{out}(\mathcal	\texttt{out}(\mathcal	PROPN
bracis-33597	315	15	{	{	PUNCT
bracis-33597	315	16	l	l	NOUN
bracis-33597	315	17	}	}	PUNCT
bracis-33597	315	18	)	)	PUNCT
bracis-33597	315	19	\overset{\text	\overset{\text	X
bracis-33597	315	20	{	{	PUNCT
bracis-33597	315	21	lemma	lemma	PROPN
bracis-33597	315	22	}	}	PUNCT
bracis-33597	315	23	1}{\longleftrightarrow	1}{\longleftrightarrow	NOUN
bracis-33597	315	24	}	}	PUNCT
bracis-33597	315	25	\exists	\exist	NOUN
bracis-33597	315	26	r	r	NOUN
bracis-33597	315	27	\in	\in	PROPN
bracis-33597	315	28	p_\mathcal	p_\mathcal	ADJ
bracis-33597	315	29	{	{	PUNCT
bracis-33597	315	30	b	b	NOUN
bracis-33597	315	31	}	}	PUNCT
bracis-33597	315	32	:	:	PUNCT
bracis-33597	315	33	head	head	NOUN
bracis-33597	315	34	(	(	PUNCT
bracis-33597	315	35	r	r	NOUN
bracis-33597	315	36	)	)	PUNCT
bracis-33597	315	37	=	=	SYM
bracis-33597	315	38	\mathfrak	\mathfrak	PROPN
bracis-33597	315	39	{	{	PUNCT
bracis-33597	315	40	sup}(a	sup}(a	PROPN
bracis-33597	315	41	)	)	PUNCT
bracis-33597	315	42	\wedge	\wedge	PROPN
bracis-33597	315	43	\{\mathfrak	\{\mathfrak	PROPN
bracis-33597	315	44	{	{	PUNCT
bracis-33597	315	45	sup}(x	sup}(x	NOUN
bracis-33597	315	46	)	)	PUNCT
bracis-33597	315	47	\mid	\mid	ADP
bracis-33597	315	48	\mathtt	\mathtt	PROPN
bracis-33597	315	49	{	{	PUNCT
bracis-33597	315	50	not\	not\	PROPN
bracis-33597	315	51	}	}	PUNCT
bracis-33597	315	52	\mathfrak	\mathfrak	PROPN
bracis-33597	315	53	{	{	PUNCT
bracis-33597	315	54	sup}(x	sup}(x	NOUN
bracis-33597	315	55	)	)	PUNCT
bracis-33597	315	56	\in	\in	ADJ
bracis-33597	315	57	body	body	NOUN
bracis-33597	315	58	^-(r)\	^-(r)\	SYM
bracis-33597	315	59	}	}	PUNCT
bracis-33597	315	60	\subseteq	\subseteq	PROPN
bracis-33597	315	61	\textbf{f}(\mathcal	\textbf{f}(\mathcal	ADJ
bracis-33597	315	62	{	{	PUNCT
bracis-33597	315	63	i	i	NOUN
bracis-33597	315	64	}	}	PUNCT
bracis-33597	315	65	)	)	PUNCT
bracis-33597	316	1	\longleftrightarrow	\longleftrightarrow	PROPN
bracis-33597	316	2	\exists	\exist	NOUN
bracis-33597	316	3	r	r	NOUN
bracis-33597	316	4	\in	\in	PROPN
bracis-33597	316	5	p_\mathcal	p_\mathcal	ADJ
bracis-33597	316	6	{	{	PUNCT
bracis-33597	316	7	b}/\mathcal	b}/\mathcal	ADJ
bracis-33597	316	8	{	{	PUNCT
bracis-33597	316	9	i	i	NOUN
bracis-33597	316	10	}	}	PUNCT
bracis-33597	316	11	:	:	PUNCT
bracis-33597	316	12	head	head	NOUN
bracis-33597	316	13	(	(	PUNCT
bracis-33597	316	14	r	r	NOUN
bracis-33597	316	15	)	)	PUNCT
bracis-33597	316	16	=	=	SYM
bracis-33597	316	17	\mathfrak	\mathfrak	PROPN
bracis-33597	316	18	{	{	PUNCT
bracis-33597	316	19	sup}(a	sup}(a	NOUN
bracis-33597	316	20	)	)	PUNCT
bracis-33597	316	21	\wedge	\wedge	NOUN
bracis-33597	316	22	body	body	NOUN
bracis-33597	316	23	^+(r	^+(r	PRON
bracis-33597	316	24	)	)	PUNCT
bracis-33597	316	25	=	=	SYM
bracis-33597	317	1	\emptyset	\emptyset	VERB
bracis-33597	317	2	\longleftrightarrow	\longleftrightarrow	PROPN
bracis-33597	317	3	\exists	\exist	NOUN
bracis-33597	317	4	r	r	NOUN
bracis-33597	317	5	\in	\in	PROPN
bracis-33597	317	6	p_\mathcal	p_\mathcal	ADJ
bracis-33597	317	7	{	{	PUNCT
bracis-33597	317	8	b}/\mathcal	b}/\mathcal	ADJ
bracis-33597	317	9	{	{	PUNCT
bracis-33597	317	10	i	i	NOUN
bracis-33597	317	11	}	}	PUNCT
bracis-33597	317	12	:	:	PUNCT
bracis-33597	317	13	head	head	NOUN
bracis-33597	317	14	(	(	PUNCT
bracis-33597	317	15	r	r	NOUN
bracis-33597	317	16	)	)	PUNCT
bracis-33597	317	17	=	=	SYM
bracis-33597	317	18	\mathfrak	\mathfrak	PROPN
bracis-33597	317	19	{	{	PUNCT
bracis-33597	317	20	sup}(a	sup}(a	NOUN
bracis-33597	317	21	)	)	PUNCT
bracis-33597	317	22	\wedge	\wedge	NOUN
bracis-33597	317	23	body	body	NOUN
bracis-33597	317	24	^+(r	^+(r	PRON
bracis-33597	317	25	)	)	PUNCT
bracis-33597	317	26	\subseteq	\subseteq	PROPN
bracis-33597	317	27	\textbf{t}(\psi	\textbf{t}(\psi	NUM
bracis-33597	317	28	_	_	PUNCT
bracis-33597	317	29	{	{	PUNCT
bracis-33597	317	30	p_\mathcal	p_\mathcal	ADJ
bracis-33597	317	31	{	{	PUNCT
bracis-33597	317	32	b}}(\mathcal	b}}(\mathcal	ADJ
bracis-33597	317	33	{	{	PUNCT
bracis-33597	317	34	i	i	NOUN
bracis-33597	317	35	}	}	PUNCT
bracis-33597	317	36	)	)	PUNCT
bracis-33597	317	37	)	)	PUNCT
bracis-33597	317	38	\longleftrightarrow	\longleftrightarrow	VERB
bracis-33597	317	39	\mathfrak	\mathfrak	PROPN
bracis-33597	317	40	{	{	PUNCT
bracis-33597	317	41	sup}(a	sup}(a	ADJ
bracis-33597	317	42	)	)	PUNCT
bracis-33597	317	43	\in	\in	PROPN
bracis-33597	317	44	\textbf{t}(\psi	\textbf{t}(\psi	NOUN
bracis-33597	317	45	_	_	PUNCT
bracis-33597	318	1	{	{	PUNCT
bracis-33597	318	2	p_\mathcal	p_\mathcal	ADJ
bracis-33597	318	3	{	{	PUNCT
bracis-33597	318	4	b}}(\mathcal	b}}(\mathcal	ADJ
bracis-33597	318	5	{	{	PUNCT
bracis-33597	318	6	i}))\	i}))\	NOUN
bracis-33597	318	7	)	)	PUNCT
bracis-33597	318	8	.	.	PUNCT
bracis-33597	319	1	similarly	similarly	ADV
bracis-33597	319	2	,	,	PUNCT
bracis-33597	319	3	we	we	PRON
bracis-33597	319	4	can	can	AUX
bracis-33597	319	5	prove	prove	VERB
bracis-33597	319	6	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	319	7	{	{	PUNCT
bracis-33597	319	8	sup}(a	sup}(a	ADJ
bracis-33597	319	9	)	)	PUNCT
bracis-33597	319	10	\in	\in	PROPN
bracis-33597	319	11	\textbf{f}(\mathcal	\textbf{f}(\mathcal	ADJ
bracis-33597	319	12	{	{	PUNCT
bracis-33597	319	13	i})\	i})\	PROPN
bracis-33597	319	14	)	)	PUNCT
bracis-33597	319	15	iff	iff	PROPN
bracis-33597	319	16	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	319	17	{	{	PUNCT
bracis-33597	319	18	sup}(a	sup}(a	ADJ
bracis-33597	319	19	)	)	PUNCT
bracis-33597	319	20	\in	\in	PROPN
bracis-33597	319	21	\textbf{f}(\varpsi	\textbf{f}(\varpsi	NOUN
bracis-33597	319	22	_	_	PUNCT
bracis-33597	319	23	{	{	PUNCT
bracis-33597	319	24	p\mathcal	p\mathcal	ADJ
bracis-33597	319	25	b}(\mathcal	b}(\mathcal	NOUN
bracis-33597	319	26	{	{	PUNCT
bracis-33597	319	27	i}))\	i}))\	NOUN
bracis-33597	319	28	)	)	PUNCT
bracis-33597	319	29	.	.	PUNCT
bracis-33597	320	1	from	from	ADP
bracis-33597	320	2	theorem	theorem	ADJ
bracis-33597	320	3	7	7	NUM
bracis-33597	320	4	,	,	PUNCT
bracis-33597	320	5	we	we	PRON
bracis-33597	320	6	can	can	AUX
bracis-33597	320	7	ensure	ensure	VERB
bracis-33597	320	8	the	the	DET
bracis-33597	320	9	equivalence	equivalence	NOUN
bracis-33597	320	10	between	between	ADP
bracis-33597	320	11	the	the	DET
bracis-33597	320	12	semantics	semantic	NOUN
bracis-33597	320	13	for	for	ADP
bracis-33597	320	14	\(\textit{baf}\)s	\(\textit{baf}\)s	ADJ
bracis-33597	320	15	and	and	CCONJ
bracis-33597	320	16	their	their	PRON
bracis-33597	320	17	counterpart	counterpart	NOUN
bracis-33597	320	18	for	for	ADP
bracis-33597	320	19	\(\textit{nlp}\)s	\(\textit{nlp}\)s	ADJ
bracis-33597	320	20	:	:	PUNCT
bracis-33597	320	21	theorem	theorem	VERB
bracis-33597	320	22	8	8	NUM
bracis-33597	320	23	let	let	VERB
bracis-33597	320	24	\(\mathcal	\(\mathcal	ADJ
bracis-33597	320	25	b\	b\	NOUN
bracis-33597	320	26	)	)	PUNCT
bracis-33597	320	27	be	be	VERB
bracis-33597	320	28	a	a	DET
bracis-33597	320	29	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	320	30	)	)	PUNCT
bracis-33597	320	31	and	and	CCONJ
bracis-33597	320	32	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	320	33	{	{	PUNCT
bracis-33597	320	34	b}\	b}\	NOUN
bracis-33597	320	35	)	)	PUNCT
bracis-33597	320	36	be	be	VERB
bracis-33597	320	37	its	its	PRON
bracis-33597	320	38	corresponding	corresponding	ADJ
bracis-33597	320	39	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	320	40	)	)	PUNCT
bracis-33597	320	41	.	.	PUNCT
bracis-33597	321	1	for	for	ADP
bracis-33597	321	2	any	any	DET
bracis-33597	321	3	labelling	labelling	NOUN
bracis-33597	321	4	\(\mathcal	\(\mathcal	ADJ
bracis-33597	321	5	{	{	PUNCT
bracis-33597	321	6	l}\	l}\	PROPN
bracis-33597	321	7	)	)	PUNCT
bracis-33597	321	8	of	of	ADP
bracis-33597	321	9	\(\mathcal	\(\mathcal	ADJ
bracis-33597	321	10	b\	b\	NOUN
bracis-33597	321	11	)	)	PUNCT
bracis-33597	321	12	respecting	respect	VERB
bracis-33597	321	13	\(\mathfrak	\(\mathfrak	PROPN
bracis-33597	321	14	{	{	PUNCT
bracis-33597	321	15	sup}\	sup}\	NUM
bracis-33597	321	16	)	)	PUNCT
bracis-33597	321	17	,	,	PUNCT
bracis-33597	321	18	it	it	PRON
bracis-33597	321	19	holds	hold	VERB
bracis-33597	321	20	\(\mathcal	\(\mathcal	ADJ
bracis-33597	321	21	{	{	PUNCT
bracis-33597	321	22	l}\	l}\	PROPN
bracis-33597	321	23	)	)	PUNCT
bracis-33597	321	24	is	be	AUX
bracis-33597	321	25	a	a	DET
bracis-33597	321	26	\(\beta	\(\beta	PROPN
bracis-33597	321	27	\)-grounded	\)-grounded	NUM
bracis-33597	321	28	(	(	PUNCT
bracis-33597	321	29	resp	resp	NOUN
bracis-33597	321	30	.	.	PUNCT
bracis-33597	322	1	\(\beta	\(\beta	PROPN
bracis-33597	322	2	\)-preferred	\)-preferred	PROPN
bracis-33597	322	3	,	,	PUNCT
bracis-33597	322	4	\(\beta	\(\beta	NOUN
bracis-33597	322	5	\)-stable	\)-stable	ADJ
bracis-33597	322	6	,	,	PUNCT
bracis-33597	322	7	\(\beta	\(\beta	ADJ
bracis-33597	322	8	\)-semi	\)-semi	NOUN
bracis-33597	322	9	-	-	ADJ
bracis-33597	322	10	stable	stable	ADJ
bracis-33597	322	11	)	)	PUNCT
bracis-33597	322	12	labelling	labelling	NOUN
bracis-33597	322	13	of	of	ADP
bracis-33597	322	14	\(\mathcal	\(\mathcal	ADJ
bracis-33597	322	15	b\	b\	NOUN
bracis-33597	322	16	)	)	PUNCT
bracis-33597	322	17	iff	iff	PROPN
bracis-33597	322	18	\(\mathcal	\(\mathcal	ADJ
bracis-33597	322	19	{	{	PUNCT
bracis-33597	322	20	l}2\mathcal	l}2\mathcal	ADJ
bracis-33597	322	21	{	{	PUNCT
bracis-33597	322	22	i}_\mathcal	i}_\mathcal	ADJ
bracis-33597	322	23	{	{	PUNCT
bracis-33597	322	24	b}(\mathcal	b}(\mathcal	NOUN
bracis-33597	322	25	{	{	PUNCT
bracis-33597	322	26	l})\	l})\	X
bracis-33597	322	27	)	)	PUNCT
bracis-33597	322	28	is	be	AUX
bracis-33597	322	29	a	a	DET
bracis-33597	322	30	well	well	ADV
bracis-33597	322	31	-	-	PUNCT
bracis-33597	322	32	founded	found	VERB
bracis-33597	322	33	(	(	PUNCT
bracis-33597	322	34	resp	resp	NOUN
bracis-33597	322	35	.	.	PUNCT
bracis-33597	323	1	regular	regular	ADJ
bracis-33597	323	2	,	,	PUNCT
bracis-33597	323	3	stable	stable	ADJ
bracis-33597	323	4	,	,	PUNCT
bracis-33597	323	5	l	l	NOUN
bracis-33597	323	6	-	-	ADJ
bracis-33597	323	7	stable	stable	ADJ
bracis-33597	323	8	)	)	PUNCT
bracis-33597	323	9	model	model	NOUN
bracis-33597	323	10	of	of	ADP
bracis-33597	323	11	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	323	12	{	{	PUNCT
bracis-33597	323	13	b}\	b}\	NOUN
bracis-33597	323	14	)	)	PUNCT
bracis-33597	323	15	.	.	PUNCT
bracis-33597	324	1	the	the	DET
bracis-33597	324	2	following	follow	VERB
bracis-33597	324	3	result	result	NOUN
bracis-33597	324	4	is	be	AUX
bracis-33597	324	5	a	a	DET
bracis-33597	324	6	direct	direct	ADJ
bracis-33597	324	7	consequence	consequence	NOUN
bracis-33597	324	8	of	of	ADP
bracis-33597	324	9	theorems	theorem	NOUN
bracis-33597	324	10	6	6	NUM
bracis-33597	324	11	and	and	CCONJ
bracis-33597	324	12	8	8	NUM
bracis-33597	324	13	:	:	PUNCT
bracis-33597	324	14	corollary	corollary	ADJ
bracis-33597	324	15	2	2	NUM
bracis-33597	324	16	let	let	VERB
bracis-33597	324	17	\(\mathcal	\(\mathcal	ADJ
bracis-33597	324	18	b\	b\	NOUN
bracis-33597	324	19	)	)	PUNCT
bracis-33597	324	20	be	be	VERB
bracis-33597	324	21	a	a	DET
bracis-33597	324	22	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	324	23	)	)	PUNCT
bracis-33597	324	24	and	and	CCONJ
bracis-33597	324	25	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	324	26	{	{	PUNCT
bracis-33597	324	27	b}\	b}\	NOUN
bracis-33597	324	28	)	)	PUNCT
bracis-33597	324	29	be	be	VERB
bracis-33597	324	30	its	its	PRON
bracis-33597	324	31	corresponding	corresponding	ADJ
bracis-33597	324	32	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	324	33	)	)	PUNCT
bracis-33597	324	34	.	.	PUNCT
bracis-33597	325	1	\(\mathcal	\(\mathcal	ADJ
bracis-33597	325	2	m\	m\	NOUN
bracis-33597	325	3	)	)	PUNCT
bracis-33597	325	4	is	be	AUX
bracis-33597	325	5	a	a	DET
bracis-33597	325	6	well	well	ADV
bracis-33597	325	7	-	-	PUNCT
bracis-33597	325	8	founded	found	VERB
bracis-33597	325	9	(	(	PUNCT
bracis-33597	325	10	resp	resp	NOUN
bracis-33597	325	11	.	.	PUNCT
bracis-33597	326	1	regular	regular	ADJ
bracis-33597	326	2	,	,	PUNCT
bracis-33597	326	3	stable	stable	ADJ
bracis-33597	326	4	,	,	PUNCT
bracis-33597	326	5	l	l	NOUN
bracis-33597	326	6	-	-	ADJ
bracis-33597	326	7	stable	stable	ADJ
bracis-33597	326	8	)	)	PUNCT
bracis-33597	326	9	model	model	NOUN
bracis-33597	326	10	of	of	ADP
bracis-33597	326	11	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	326	12	{	{	PUNCT
bracis-33597	326	13	b}\	b}\	NOUN
bracis-33597	326	14	)	)	PUNCT
bracis-33597	326	15	iff	iff	PROPN
bracis-33597	326	16	\(\mathcal	\(\mathcal	ADJ
bracis-33597	326	17	{	{	PUNCT
bracis-33597	326	18	i}2\mathcal	i}2\mathcal	NOUN
bracis-33597	326	19	{	{	PUNCT
bracis-33597	326	20	l}_\mathcal	l}_\mathcal	ADJ
bracis-33597	326	21	{	{	PUNCT
bracis-33597	326	22	b}(\mathcal	b}(\mathcal	ADJ
bracis-33597	326	23	m)\	m)\	NOUN
bracis-33597	326	24	)	)	PUNCT
bracis-33597	326	25	is	be	AUX
bracis-33597	326	26	a	a	DET
bracis-33597	326	27	\(\beta	\(\beta	PROPN
bracis-33597	326	28	\)-grounded	\)-grounded	NUM
bracis-33597	326	29	(	(	PUNCT
bracis-33597	326	30	resp	resp	NOUN
bracis-33597	326	31	.	.	PUNCT
bracis-33597	327	1	\(\beta	\(\beta	PROPN
bracis-33597	327	2	\)-preferred	\)-preferred	PROPN
bracis-33597	327	3	,	,	PUNCT
bracis-33597	327	4	\(\beta	\(\beta	NOUN
bracis-33597	327	5	\)-stable	\)-stable	ADJ
bracis-33597	327	6	,	,	PUNCT
bracis-33597	327	7	\(\beta	\(\beta	ADJ
bracis-33597	327	8	\)-semi	\)-semi	NOUN
bracis-33597	327	9	-	-	ADJ
bracis-33597	327	10	stable	stable	ADJ
bracis-33597	327	11	)	)	PUNCT
bracis-33597	327	12	labelling	labelling	NOUN
bracis-33597	327	13	of	of	ADP
bracis-33597	327	14	\(\mathcal	\(\mathcal	ADJ
bracis-33597	327	15	b\	b\	NOUN
bracis-33597	327	16	)	)	PUNCT
bracis-33597	327	17	.	.	PUNCT
bracis-33597	328	1	recalling	recall	VERB
bracis-33597	328	2	the	the	DET
bracis-33597	328	3	\(\textit{baf}\	\(\textit{baf}\	NOUN
bracis-33597	328	4	)	)	PUNCT
bracis-33597	328	5	\(\mathcal	\(\mathcal	ADJ
bracis-33597	328	6	b_p\	b_p\	NOUN
bracis-33597	328	7	)	)	PUNCT
bracis-33597	328	8	of	of	ADP
bracis-33597	328	9	example	example	NOUN
bracis-33597	328	10	4	4	NUM
bracis-33597	328	11	,	,	PUNCT
bracis-33597	328	12	its	its	PRON
bracis-33597	328	13	corresponding	corresponding	ADJ
bracis-33597	328	14	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	328	15	)	)	PUNCT
bracis-33597	328	16	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	328	17	{	{	PUNCT
bracis-33597	328	18	b_p}\	b_p}\	NOUN
bracis-33597	328	19	)	)	PUNCT
bracis-33597	328	20	is	be	AUX
bracis-33597	328	21	structurally	structurally	ADV
bracis-33597	328	22	identical	identical	ADJ
bracis-33597	328	23	(	(	PUNCT
bracis-33597	328	24	i.e.	i.e.	X
bracis-33597	328	25	,	,	PUNCT
bracis-33597	328	26	equal	equal	ADJ
bracis-33597	328	27	under	under	ADP
bracis-33597	328	28	renaming	renaming	NOUN
bracis-33597	328	29	)	)	PUNCT
bracis-33597	328	30	to	to	ADP
bracis-33597	328	31	the	the	DET
bracis-33597	328	32	\(\textit{nlp}\	\(\textit{nlp}\	NOUN
bracis-33597	328	33	)	)	PUNCT
bracis-33597	328	34	p	p	NOUN
bracis-33597	328	35	of	of	ADP
bracis-33597	328	36	example	example	NOUN
bracis-33597	328	37	4	4	X
bracis-33597	328	38	.	.	PUNCT
bracis-33597	329	1	we	we	PRON
bracis-33597	329	2	obtain	obtain	VERB
bracis-33597	329	3	the	the	DET
bracis-33597	329	4	expected	expect	VERB
bracis-33597	329	5	equivalence	equivalence	NOUN
bracis-33597	329	6	results	result	NOUN
bracis-33597	329	7	related	relate	VERB
bracis-33597	329	8	to	to	ADP
bracis-33597	329	9	their	their	PRON
bracis-33597	329	10	semantics	semantic	NOUN
bracis-33597	329	11	(	(	PUNCT
bracis-33597	329	12	see	see	VERB
bracis-33597	329	13	table	table	NOUN
bracis-33597	329	14	 	 	SPACE
bracis-33597	329	15	2	2	NUM
bracis-33597	329	16	)	)	PUNCT
bracis-33597	329	17	.	.	PUNCT
bracis-33597	330	1	table	table	NOUN
bracis-33597	330	2	2	2	NUM
bracis-33597	330	3	.	.	PUNCT
bracis-33597	330	4	semantics	semantic	NOUN
bracis-33597	330	5	for	for	ADP
bracis-33597	330	6	\(\mathcal	\(\mathcal	ADJ
bracis-33597	330	7	b_p\	b_p\	NOUN
bracis-33597	330	8	)	)	PUNCT
bracis-33597	330	9	and	and	CCONJ
bracis-33597	330	10	\(p_\mathcal	\(p_\mathcal	PROPN
bracis-33597	330	11	{	{	PUNCT
bracis-33597	330	12	b_p}\)full	b_p}\)full	NOUN
bracis-33597	330	13	size	size	NOUN
bracis-33597	330	14	table	table	NOUN
bracis-33597	330	15	5	5	NUM
bracis-33597	330	16	conclusions	conclusion	NOUN
bracis-33597	330	17	in	in	ADP
bracis-33597	330	18	this	this	DET
bracis-33597	330	19	paper	paper	NOUN
bracis-33597	330	20	,	,	PUNCT
bracis-33597	330	21	we	we	PRON
bracis-33597	330	22	extend	extend	VERB
bracis-33597	330	23	the	the	DET
bracis-33597	330	24	work	work	NOUN
bracis-33597	330	25	of	of	ADP
bracis-33597	330	26	caminada	caminada	PROPN
bracis-33597	330	27	et	et	PROPN
bracis-33597	330	28	al	al	PROPN
bracis-33597	330	29	.	.	PUNCT
bracis-33597	331	1	[	[	X
bracis-33597	331	2	7	7	X
bracis-33597	331	3	]	]	PUNCT
bracis-33597	331	4	by	by	ADP
bracis-33597	331	5	considering	consider	VERB
bracis-33597	331	6	argumentation	argumentation	NOUN
bracis-33597	331	7	frameworks	framework	NOUN
bracis-33597	331	8	with	with	ADP
bracis-33597	331	9	support	support	NOUN
bracis-33597	331	10	under	under	ADP
bracis-33597	331	11	the	the	DET
bracis-33597	331	12	\(\beta	\(\beta	PROPN
bracis-33597	331	13	\)-semantics	\)-semantic	NOUN
bracis-33597	331	14	[	[	X
bracis-33597	331	15	1	1	NUM
bracis-33597	331	16	]	]	PUNCT
bracis-33597	331	17	.	.	PUNCT
bracis-33597	332	1	we	we	PRON
bracis-33597	332	2	observe	observe	VERB
bracis-33597	332	3	that	that	SCONJ
bracis-33597	332	4	\(\beta	\(\beta	PROPN
bracis-33597	332	5	\)-complete	\)-complete	PROPN
bracis-33597	332	6	,	,	PUNCT
bracis-33597	332	7	\(\beta	\(\beta	PROPN
bracis-33597	332	8	\)-grounded	\)-grounded	ADJ
bracis-33597	332	9	,	,	PUNCT
bracis-33597	332	10	\(\beta	\(\beta	NOUN
bracis-33597	332	11	\)-preferred	\)-preferred	PROPN
bracis-33597	332	12	,	,	PUNCT
bracis-33597	332	13	\(\beta	\(\beta	ADJ
bracis-33597	332	14	\)-stable	\)-stable	ADJ
bracis-33597	332	15	and	and	CCONJ
bracis-33597	332	16	\(\beta	\(\beta	ADP
bracis-33597	332	17	\)-semi	\)-semi	NOUN
bracis-33597	332	18	-	-	ADJ
bracis-33597	332	19	stable	stable	ADJ
bracis-33597	332	20	semantics	semantic	NOUN
bracis-33597	332	21	of	of	ADP
bracis-33597	332	22	bipolar	bipolar	ADJ
bracis-33597	332	23	argumentation	argumentation	NOUN
bracis-33597	332	24	frameworks	framework	NOUN
bracis-33597	332	25	(	(	PUNCT
bracis-33597	332	26	\(\textit{baf}\)s	\(\textit{baf}\)s	NOUN
bracis-33597	332	27	)	)	PUNCT
bracis-33597	332	28	respectively	respectively	ADV
bracis-33597	332	29	coincide	coincide	VERB
bracis-33597	332	30	with	with	ADP
bracis-33597	332	31	the	the	DET
bracis-33597	332	32	partial	partial	ADJ
bracis-33597	332	33	stable	stable	ADJ
bracis-33597	332	34	,	,	PUNCT
bracis-33597	332	35	well	well	ADV
bracis-33597	332	36	-	-	PUNCT
bracis-33597	332	37	founded	found	VERB
bracis-33597	332	38	,	,	PUNCT
bracis-33597	332	39	regular	regular	ADJ
bracis-33597	332	40	,	,	PUNCT
bracis-33597	332	41	stable	stable	ADJ
bracis-33597	332	42	and	and	CCONJ
bracis-33597	332	43	l	l	ADJ
bracis-33597	332	44	-	-	ADJ
bracis-33597	332	45	stable	stable	ADJ
bracis-33597	332	46	semantics	semantic	NOUN
bracis-33597	332	47	of	of	ADP
bracis-33597	332	48	normal	normal	ADJ
bracis-33597	332	49	logic	logic	NOUN
bracis-33597	332	50	programs	program	NOUN
bracis-33597	332	51	(	(	PUNCT
bracis-33597	332	52	\(\textit{nlp}\)s	\(\textit{nlp}\)s	ADJ
bracis-33597	332	53	)	)	PUNCT
bracis-33597	332	54	.	.	PUNCT
bracis-33597	333	1	in	in	ADP
bracis-33597	333	2	particular	particular	ADJ
bracis-33597	333	3	,	,	PUNCT
bracis-33597	333	4	we	we	PRON
bracis-33597	333	5	note	note	VERB
bracis-33597	333	6	that	that	SCONJ
bracis-33597	333	7	the	the	DET
bracis-33597	333	8	inclusion	inclusion	NOUN
bracis-33597	333	9	of	of	ADP
bracis-33597	333	10	support	support	NOUN
bracis-33597	333	11	in	in	ADP
bracis-33597	333	12	argumentation	argumentation	NOUN
bracis-33597	333	13	allowed	allow	VERB
bracis-33597	333	14	the	the	DET
bracis-33597	333	15	connection	connection	NOUN
bracis-33597	333	16	between	between	ADP
bracis-33597	333	17	\(\beta	\(\beta	NOUN
bracis-33597	333	18	\)-semi	\)-semi	NOUN
bracis-33597	333	19	-	-	ADJ
bracis-33597	333	20	stable	stable	ADJ
bracis-33597	333	21	and	and	CCONJ
bracis-33597	333	22	l	l	ADJ
bracis-33597	333	23	-	-	ADJ
bracis-33597	333	24	stable	stable	ADJ
bracis-33597	333	25	semantics	semantic	NOUN
bracis-33597	333	26	,	,	PUNCT
bracis-33597	333	27	whereas	whereas	SCONJ
bracis-33597	333	28	semi	semi	ADJ
bracis-33597	333	29	-	-	ADJ
bracis-33597	333	30	stable	stable	ADJ
bracis-33597	333	31	and	and	CCONJ
bracis-33597	333	32	l	l	ADJ
bracis-33597	333	33	-	-	ADJ
bracis-33597	333	34	stable	stable	ADJ
bracis-33597	333	35	semantics	semantic	NOUN
bracis-33597	333	36	did	do	AUX
bracis-33597	333	37	not	not	PART
bracis-33597	333	38	coincide	coincide	VERB
bracis-33597	333	39	for	for	ADP
bracis-33597	333	40	attack	attack	NOUN
bracis-33597	333	41	-	-	PUNCT
bracis-33597	333	42	only	only	ADV
bracis-33597	333	43	argumentation	argumentation	NOUN
bracis-33597	333	44	frameworks	framework	NOUN
bracis-33597	333	45	[	[	X
bracis-33597	333	46	7	7	NUM
bracis-33597	333	47	]	]	PUNCT
bracis-33597	333	48	.	.	PUNCT
bracis-33597	334	1	each	each	DET
bracis-33597	334	2	formalism	formalism	NOUN
bracis-33597	334	3	encodes	encode	VERB
bracis-33597	334	4	knowledge	knowledge	NOUN
bracis-33597	334	5	according	accord	VERB
bracis-33597	334	6	to	to	ADP
bracis-33597	334	7	its	its	PRON
bracis-33597	334	8	own	own	ADJ
bracis-33597	334	9	perspective	perspective	NOUN
bracis-33597	334	10	:	:	PUNCT
bracis-33597	334	11	argumentation	argumentation	NOUN
bracis-33597	334	12	is	be	AUX
bracis-33597	334	13	concerned	concerned	ADJ
bracis-33597	334	14	about	about	ADP
bracis-33597	334	15	arguments	argument	NOUN
bracis-33597	334	16	and	and	CCONJ
bracis-33597	334	17	their	their	PRON
bracis-33597	334	18	interaction	interaction	NOUN
bracis-33597	334	19	,	,	PUNCT
bracis-33597	334	20	whereas	whereas	SCONJ
bracis-33597	334	21	\(\textit{nlp}\)s	\(\textit{nlp}\)s	PROPN
bracis-33597	334	22	are	be	AUX
bracis-33597	334	23	interested	interested	ADJ
bracis-33597	334	24	in	in	ADP
bracis-33597	334	25	deriving	derive	VERB
bracis-33597	334	26	atoms	atom	NOUN
bracis-33597	334	27	from	from	ADP
bracis-33597	334	28	rules	rule	NOUN
bracis-33597	334	29	.	.	PUNCT
bracis-33597	335	1	we	we	PRON
bracis-33597	335	2	provide	provide	VERB
bracis-33597	335	3	explicit	explicit	ADJ
bracis-33597	335	4	translations	translation	NOUN
bracis-33597	335	5	between	between	ADP
bracis-33597	335	6	these	these	DET
bracis-33597	335	7	formalisms	formalism	NOUN
bracis-33597	335	8	and	and	CCONJ
bracis-33597	335	9	their	their	PRON
bracis-33597	335	10	semantics	semantic	NOUN
bracis-33597	335	11	,	,	PUNCT
bracis-33597	335	12	allowing	allow	VERB
bracis-33597	335	13	them	they	PRON
bracis-33597	335	14	to	to	PART
bracis-33597	335	15	be	be	AUX
bracis-33597	335	16	used	use	VERB
bracis-33597	335	17	interchangeably	interchangeably	ADV
bracis-33597	335	18	and	and	CCONJ
bracis-33597	335	19	enhancing	enhance	VERB
bracis-33597	335	20	our	our	PRON
bracis-33597	335	21	understanding	understanding	NOUN
bracis-33597	335	22	about	about	ADP
bracis-33597	335	23	how	how	SCONJ
bracis-33597	335	24	they	they	PRON
bracis-33597	335	25	relate	relate	VERB
bracis-33597	335	26	to	to	ADP
bracis-33597	335	27	each	each	DET
bracis-33597	335	28	other	other	ADJ
bracis-33597	335	29	.	.	PUNCT
bracis-33597	336	1	future	future	ADJ
bracis-33597	336	2	works	work	NOUN
bracis-33597	336	3	include	include	VERB
bracis-33597	336	4	exploring	explore	VERB
bracis-33597	336	5	the	the	DET
bracis-33597	336	6	connection	connection	NOUN
bracis-33597	336	7	of	of	ADP
bracis-33597	336	8	\(\textit{nlp}\)s	\(\textit{nlp}\)s	ADJ
bracis-33597	336	9	with	with	ADP
bracis-33597	336	10	other	other	ADJ
bracis-33597	336	11	extensions	extension	NOUN
bracis-33597	336	12	of	of	ADP
bracis-33597	336	13	\	\	PROPN
bracis-33597	336	14	(	(	PUNCT
bracis-33597	336	15	aaf	aaf	PROPN
bracis-33597	336	16	\)s	\)s	PROPN
bracis-33597	336	17	.	.	PROPN
bracis-33597	336	18	notes	note	VERB
bracis-33597	336	19	1.the	1.the	DET
bracis-33597	336	20	above	above	ADJ
bracis-33597	336	21	definition	definition	NOUN
bracis-33597	336	22	consists	consist	VERB
bracis-33597	336	23	of	of	ADP
bracis-33597	336	24	a	a	DET
bracis-33597	336	25	least	least	ADJ
bracis-33597	336	26	fix	fix	NOUN
bracis-33597	336	27	-	-	PUNCT
bracis-33597	336	28	point	point	NOUN
bracis-33597	336	29	of	of	ADP
bracis-33597	336	30	the	the	DET
bracis-33597	336	31	immediate	immediate	ADJ
bracis-33597	336	32	consequence	consequence	NOUN
bracis-33597	336	33	operator	operator	NOUN
bracis-33597	336	34	\(\varpsi	\(\varpsi	PRON
bracis-33597	336	35	\	\	NOUN
bracis-33597	336	36	)	)	PUNCT
bracis-33597	336	37	defined	define	VERB
bracis-33597	336	38	in	in	ADP
bracis-33597	336	39	[	[	X
bracis-33597	336	40	12	12	NUM
bracis-33597	336	41	]	]	PUNCT
bracis-33597	336	42	,	,	PUNCT
bracis-33597	336	43	which	which	PRON
bracis-33597	336	44	 	 	SPACE
bracis-33597	336	45	is	be	AUX
bracis-33597	336	46	guaranteed	guarantee	VERB
bracis-33597	336	47	to	to	PART
bracis-33597	336	48	exist	exist	VERB
bracis-33597	336	49	and	and	CCONJ
bracis-33597	336	50	be	be	AUX
bracis-33597	336	51	unique	unique	ADJ
bracis-33597	336	52	for	for	ADP
bracis-33597	336	53	positive	positive	ADJ
bracis-33597	336	54	programs	program	NOUN
bracis-33597	336	55	.	.	PUNCT
bracis-33597	337	1	references	reference	NOUN
bracis-33597	337	2	alcântara	alcântara	VERB
bracis-33597	337	3	,	,	PUNCT
bracis-33597	337	4	j.	j.	PROPN
bracis-33597	337	5	,	,	PUNCT
bracis-33597	337	6	cordeiro	cordeiro	PROPN
bracis-33597	337	7	,	,	PUNCT
bracis-33597	337	8	r.	r.	PROPN
bracis-33597	337	9	:	:	PUNCT
bracis-33597	337	10	bipolar	bipolar	ADJ
bracis-33597	337	11	argumentation	argumentation	NOUN
bracis-33597	337	12	frameworks	framework	NOUN
bracis-33597	337	13	with	with	ADP
bracis-33597	337	14	a	a	DET
bracis-33597	337	15	dual	dual	ADJ
bracis-33597	337	16	relation	relation	NOUN
bracis-33597	337	17	between	between	ADP
bracis-33597	337	18	defeat	defeat	NOUN
bracis-33597	337	19	and	and	CCONJ
bracis-33597	337	20	defence	defence	NOUN
bracis-33597	337	21	.	.	PUNCT
bracis-33597	338	1	j.	j.	PROPN
bracis-33597	338	2	logic	logic	PROPN
bracis-33597	338	3	comput	comput	PROPN
bracis-33597	338	4	.	.	PUNCT
bracis-33597	338	5	,	,	PUNCT
bracis-33597	338	6	exae006	exae006	X
bracis-33597	338	7	(	(	PUNCT
bracis-33597	338	8	2024	2024	NUM
bracis-33597	338	9	)	)	PUNCT
bracis-33597	338	10	google	google	NOUN
bracis-33597	338	11	scholar	scholar	NOUN
bracis-33597	338	12	  	  	SPACE
bracis-33597	338	13	alcântara	alcântara	ADJ
bracis-33597	338	14	,	,	PUNCT
bracis-33597	338	15	j.	j.	PROPN
bracis-33597	338	16	,	,	PUNCT
bracis-33597	338	17	sá	sá	PROPN
bracis-33597	338	18	,	,	PUNCT
bracis-33597	338	19	s.	s.	PROPN
bracis-33597	338	20	,	,	PUNCT
bracis-33597	338	21	acosta	acosta	PROPN
bracis-33597	338	22	-	-	PUNCT
bracis-33597	338	23	guadarrama	guadarrama	NOUN
bracis-33597	338	24	,	,	PUNCT
bracis-33597	338	25	j.	j.	PROPN
bracis-33597	338	26	:	:	PUNCT
bracis-33597	338	27	on	on	ADP
bracis-33597	338	28	the	the	DET
bracis-33597	338	29	equivalence	equivalence	NOUN
bracis-33597	338	30	between	between	ADP
bracis-33597	338	31	abstract	abstract	ADJ
bracis-33597	338	32	dialectical	dialectical	ADJ
bracis-33597	338	33	frameworks	framework	NOUN
bracis-33597	338	34	and	and	CCONJ
bracis-33597	338	35	logic	logic	NOUN
bracis-33597	338	36	programs	program	NOUN
bracis-33597	338	37	.	.	PUNCT
bracis-33597	339	1	theory	theory	NOUN
bracis-33597	339	2	pract	pract	NOUN
bracis-33597	339	3	.	.	PUNCT
bracis-33597	340	1	logic	logic	NOUN
bracis-33597	340	2	program	program	NOUN
bracis-33597	340	3	.	.	PUNCT
bracis-33597	341	1	19(5–6	19(5–6	NUM
bracis-33597	341	2	)	)	PUNCT
bracis-33597	341	3	,	,	PUNCT
bracis-33597	341	4	941–956	941–956	NUM
bracis-33597	341	5	(	(	PUNCT
bracis-33597	341	6	2019	2019	NUM
bracis-33597	341	7	)	)	PUNCT
bracis-33597	341	8	article	article	NOUN
bracis-33597	341	9	  	  	SPACE
bracis-33597	341	10	mathscinet	mathscinet	NOUN
bracis-33597	341	11	  	  	SPACE
bracis-33597	341	12	math	math	NOUN
bracis-33597	341	13	  	  	SPACE
bracis-33597	341	14	google	google	PROPN
bracis-33597	341	15	scholar	scholar	NOUN
bracis-33597	341	16	  	  	SPACE
bracis-33597	341	17	alcântara	alcântara	ADJ
bracis-33597	341	18	,	,	PUNCT
bracis-33597	341	19	j.	j.	PROPN
bracis-33597	341	20	,	,	PUNCT
bracis-33597	341	21	cordeiro	cordeiro	PROPN
bracis-33597	341	22	,	,	PUNCT
bracis-33597	341	23	r.	r.	PROPN
bracis-33597	341	24	,	,	PUNCT
bracis-33597	341	25	sá	sá	PROPN
bracis-33597	341	26	,	,	PUNCT
bracis-33597	341	27	s.	s.	PROPN
bracis-33597	341	28	:	:	PUNCT
bracis-33597	341	29	on	on	ADP
bracis-33597	341	30	the	the	DET
bracis-33597	341	31	equivalence	equivalence	NOUN
bracis-33597	341	32	between	between	ADP
bracis-33597	341	33	logic	logic	NOUN
bracis-33597	341	34	programming	programming	NOUN
bracis-33597	341	35	and	and	CCONJ
bracis-33597	341	36	setaf	setaf	NOUN
bracis-33597	341	37	(	(	PUNCT
bracis-33597	341	38	2024	2024	NUM
bracis-33597	341	39	)	)	PUNCT
bracis-33597	341	40	,	,	PUNCT
bracis-33597	341	41	(	(	PUNCT
bracis-33597	341	42	submitted	submit	VERB
bracis-33597	341	43	)	)	PUNCT
bracis-33597	341	44	google	google	PROPN
bracis-33597	341	45	scholar	scholar	NOUN
bracis-33597	341	46	  	  	SPACE
bracis-33597	341	47	alfano	alfano	PROPN
bracis-33597	341	48	,	,	PUNCT
bracis-33597	341	49	g.	g.	PROPN
bracis-33597	341	50	,	,	PUNCT
bracis-33597	341	51	greco	greco	PROPN
bracis-33597	341	52	,	,	PUNCT
bracis-33597	341	53	s.	s.	PROPN
bracis-33597	341	54	,	,	PUNCT
bracis-33597	341	55	parisi	parisi	PROPN
bracis-33597	341	56	,	,	PUNCT
bracis-33597	341	57	f.	f.	PROPN
bracis-33597	341	58	,	,	PUNCT
bracis-33597	341	59	trubitsyna	trubitsyna	PROPN
bracis-33597	341	60	,	,	PUNCT
bracis-33597	341	61	i.	i.	PROPN
bracis-33597	341	62	:	:	PUNCT
bracis-33597	341	63	on	on	ADP
bracis-33597	341	64	the	the	DET
bracis-33597	341	65	semantics	semantic	NOUN
bracis-33597	341	66	of	of	ADP
bracis-33597	341	67	abstract	abstract	ADJ
bracis-33597	341	68	argumentation	argumentation	NOUN
bracis-33597	341	69	frameworks	framework	NOUN
bracis-33597	341	70	:	:	PUNCT
bracis-33597	341	71	a	a	DET
bracis-33597	341	72	logic	logic	NOUN
bracis-33597	341	73	programming	programming	NOUN
bracis-33597	341	74	approach	approach	NOUN
bracis-33597	341	75	.	.	PUNCT
bracis-33597	342	1	theory	theory	NOUN
bracis-33597	342	2	pract	pract	NOUN
bracis-33597	342	3	.	.	PUNCT
bracis-33597	343	1	logic	logic	NOUN
bracis-33597	343	2	program	program	NOUN
bracis-33597	343	3	.	.	PUNCT
bracis-33597	344	1	20(5	20(5	NOUN
bracis-33597	344	2	)	)	PUNCT
bracis-33597	344	3	,	,	PUNCT
bracis-33597	344	4	703–718	703–718	NUM
bracis-33597	344	5	(	(	PUNCT
bracis-33597	344	6	2020	2020	NUM
bracis-33597	344	7	)	)	PUNCT
bracis-33597	344	8	article	article	NOUN
bracis-33597	344	9	  	  	SPACE
bracis-33597	344	10	mathscinet	mathscinet	NOUN
bracis-33597	344	11	  	  	SPACE
bracis-33597	344	12	math	math	NOUN
bracis-33597	344	13	  	  	SPACE
bracis-33597	344	14	google	google	PROPN
bracis-33597	344	15	scholar	scholar	NOUN
bracis-33597	344	16	  	  	SPACE
bracis-33597	344	17	amgoud	amgoud	NOUN
bracis-33597	344	18	,	,	PUNCT
bracis-33597	344	19	l.	l.	PROPN
bracis-33597	344	20	,	,	PUNCT
bracis-33597	344	21	cayrol	cayrol	NOUN
bracis-33597	344	22	,	,	PUNCT
bracis-33597	344	23	c.	c.	NOUN
bracis-33597	344	24	,	,	PUNCT
bracis-33597	344	25	lagasquie	lagasquie	NOUN
bracis-33597	344	26	-	-	PUNCT
bracis-33597	344	27	schiex	schiex	NOUN
bracis-33597	344	28	,	,	PUNCT
bracis-33597	344	29	m.c	m.c	PROPN
bracis-33597	344	30	.	.	PROPN
bracis-33597	344	31	,	,	PUNCT
bracis-33597	344	32	livet	livet	PROPN
bracis-33597	344	33	,	,	PUNCT
bracis-33597	344	34	p.	p.	NOUN
bracis-33597	344	35	:	:	PUNCT
bracis-33597	344	36	on	on	ADP
bracis-33597	344	37	bipolarity	bipolarity	NOUN
bracis-33597	344	38	in	in	ADP
bracis-33597	344	39	argumentation	argumentation	NOUN
bracis-33597	344	40	frameworks	framework	NOUN
bracis-33597	344	41	.	.	PUNCT
bracis-33597	345	1	int	int	NOUN
bracis-33597	345	2	.	.	PUNCT
bracis-33597	346	1	j.	j.	PROPN
bracis-33597	346	2	intell	intell	PROPN
bracis-33597	346	3	.	.	PUNCT
bracis-33597	347	1	syst	syst	PROPN
bracis-33597	347	2	.	.	PUNCT
bracis-33597	348	1	23(10	23(10	NUM
bracis-33597	348	2	)	)	PUNCT
bracis-33597	348	3	,	,	PUNCT
bracis-33597	348	4	1062–1093	1062–1093	NUM
bracis-33597	348	5	(	(	PUNCT
bracis-33597	348	6	2008	2008	NUM
bracis-33597	348	7	)	)	PUNCT
bracis-33597	348	8	article	article	NOUN
bracis-33597	348	9	  	  	SPACE
bracis-33597	348	10	math	math	NOUN
bracis-33597	348	11	  	  	SPACE
bracis-33597	348	12	google	google	PROPN
bracis-33597	348	13	scholar	scholar	NOUN
bracis-33597	348	14	  	  	SPACE
bracis-33597	348	15	brewka	brewka	NOUN
bracis-33597	348	16	,	,	PUNCT
bracis-33597	348	17	g.	g.	NOUN
bracis-33597	348	18	,	,	PUNCT
bracis-33597	348	19	woltran	woltran	NOUN
bracis-33597	348	20	,	,	PUNCT
bracis-33597	348	21	s.	s.	PROPN
bracis-33597	348	22	:	:	PUNCT
bracis-33597	348	23	abstract	abstract	ADJ
bracis-33597	348	24	dialectical	dialectical	ADJ
bracis-33597	348	25	frameworks	framework	NOUN
bracis-33597	348	26	.	.	PUNCT
bracis-33597	349	1	in	in	ADP
bracis-33597	349	2	:	:	PUNCT
bracis-33597	349	3	twelfth	twelfth	ADJ
bracis-33597	349	4	international	international	ADJ
bracis-33597	349	5	conf	conf	NOUN
bracis-33597	349	6	.	.	PUNCT
bracis-33597	350	1	on	on	ADP
bracis-33597	350	2	the	the	DET
bracis-33597	350	3	principles	principle	NOUN
bracis-33597	350	4	of	of	ADP
bracis-33597	350	5	knowledge	knowledge	NOUN
bracis-33597	350	6	representation	representation	NOUN
bracis-33597	350	7	and	and	CCONJ
bracis-33597	350	8	reasoning	reasoning	NOUN
bracis-33597	350	9	,	,	PUNCT
bracis-33597	350	10	pp	pp	ADJ
bracis-33597	350	11	.	.	PUNCT
bracis-33597	351	1	102–111	102–111	NUM
bracis-33597	351	2	.	.	PUNCT
bracis-33597	352	1	aaai	aaai	PROPN
bracis-33597	352	2	press	press	PROPN
bracis-33597	352	3	(	(	PUNCT
bracis-33597	352	4	2010	2010	NUM
bracis-33597	352	5	)	)	PUNCT
bracis-33597	352	6	google	google	PROPN
bracis-33597	352	7	scholar	scholar	NOUN
bracis-33597	352	8	  	  	SPACE
bracis-33597	352	9	caminada	caminada	PROPN
bracis-33597	352	10	,	,	PUNCT
bracis-33597	352	11	m.	m.	NOUN
bracis-33597	352	12	,	,	PUNCT
bracis-33597	352	13	sá	sá	PROPN
bracis-33597	352	14	,	,	PUNCT
bracis-33597	352	15	s.	s.	PROPN
bracis-33597	352	16	,	,	PUNCT
bracis-33597	352	17	alcântara	alcântara	PROPN
bracis-33597	352	18	,	,	PUNCT
bracis-33597	352	19	j.	j.	PROPN
bracis-33597	352	20	,	,	PUNCT
bracis-33597	352	21	dvořák	dvořák	PROPN
bracis-33597	352	22	,	,	PUNCT
bracis-33597	352	23	w.	w.	PROPN
bracis-33597	352	24	:	:	PUNCT
bracis-33597	352	25	on	on	ADP
bracis-33597	352	26	the	the	DET
bracis-33597	352	27	equivalence	equivalence	NOUN
bracis-33597	352	28	between	between	ADP
bracis-33597	352	29	logic	logic	NOUN
bracis-33597	352	30	programming	programming	NOUN
bracis-33597	352	31	semantics	semantic	NOUN
bracis-33597	352	32	and	and	CCONJ
bracis-33597	352	33	argumentation	argumentation	NOUN
bracis-33597	352	34	semantics	semantic	NOUN
bracis-33597	352	35	.	.	PUNCT
bracis-33597	353	1	int	int	NOUN
bracis-33597	353	2	.	.	PUNCT
bracis-33597	354	1	j.	j.	PROPN
bracis-33597	354	2	approximate	approximate	PROPN
bracis-33597	354	3	reasoning	reason	VERB
bracis-33597	354	4	58	58	NUM
bracis-33597	354	5	,	,	PUNCT
bracis-33597	354	6	87–111	87–111	PROPN
bracis-33597	354	7	(	(	PUNCT
bracis-33597	354	8	2015	2015	NUM
bracis-33597	354	9	)	)	PUNCT
bracis-33597	354	10	article	article	NOUN
bracis-33597	354	11	  	  	SPACE
bracis-33597	354	12	mathscinet	mathscinet	NOUN
bracis-33597	354	13	  	  	SPACE
bracis-33597	354	14	math	math	NOUN
bracis-33597	354	15	  	  	SPACE
bracis-33597	354	16	google	google	PROPN
bracis-33597	354	17	scholar	scholar	NOUN
bracis-33597	354	18	  	  	SPACE
bracis-33597	354	19	caminada	caminada	PROPN
bracis-33597	354	20	,	,	PUNCT
bracis-33597	354	21	m.	m.	NOUN
bracis-33597	354	22	,	,	PUNCT
bracis-33597	354	23	schulz	schulz	PROPN
bracis-33597	354	24	,	,	PUNCT
bracis-33597	354	25	c.	c.	PROPN
bracis-33597	354	26	:	:	PUNCT
bracis-33597	354	27	on	on	ADP
bracis-33597	354	28	the	the	DET
bracis-33597	354	29	equivalence	equivalence	NOUN
bracis-33597	354	30	between	between	ADP
bracis-33597	354	31	assumption	assumption	NOUN
bracis-33597	354	32	-	-	PUNCT
bracis-33597	354	33	based	base	VERB
bracis-33597	354	34	argumentation	argumentation	NOUN
bracis-33597	354	35	and	and	CCONJ
bracis-33597	354	36	logic	logic	NOUN
bracis-33597	354	37	programming	programming	NOUN
bracis-33597	354	38	.	.	PUNCT
bracis-33597	355	1	j.	j.	PROPN
bracis-33597	355	2	artifi	artifi	PROPN
bracis-33597	355	3	.	.	PUNCT
bracis-33597	356	1	intell	intell	PROPN
bracis-33597	356	2	.	.	PUNCT
bracis-33597	357	1	res	re	NOUN
bracis-33597	357	2	.	.	PROPN
bracis-33597	358	1	60	60	NUM
bracis-33597	358	2	,	,	PUNCT
bracis-33597	358	3	779–825	779–825	NUM
bracis-33597	358	4	(	(	PUNCT
bracis-33597	358	5	2017	2017	NUM
bracis-33597	358	6	)	)	PUNCT
bracis-33597	358	7	article	article	NOUN
bracis-33597	358	8	  	  	SPACE
bracis-33597	358	9	mathscinet	mathscinet	NOUN
bracis-33597	358	10	  	  	SPACE
bracis-33597	358	11	math	math	NOUN
bracis-33597	358	12	  	  	SPACE
bracis-33597	358	13	google	google	PROPN
bracis-33597	358	14	scholar	scholar	NOUN
bracis-33597	358	15	  	  	SPACE
bracis-33597	358	16	čyras	čyra	NOUN
bracis-33597	358	17	,	,	PUNCT
bracis-33597	358	18	k.	k.	PROPN
bracis-33597	358	19	,	,	PUNCT
bracis-33597	358	20	schulz	schulz	PROPN
bracis-33597	358	21	,	,	PUNCT
bracis-33597	358	22	c.	c.	PROPN
bracis-33597	358	23	,	,	PUNCT
bracis-33597	358	24	toni	toni	PROPN
bracis-33597	358	25	,	,	PUNCT
bracis-33597	358	26	f.	f.	PROPN
bracis-33597	358	27	:	:	PUNCT
bracis-33597	358	28	capturing	capture	VERB
bracis-33597	358	29	bipolar	bipolar	ADJ
bracis-33597	358	30	argumentation	argumentation	NOUN
bracis-33597	358	31	in	in	ADP
bracis-33597	358	32	non	non	ADJ
bracis-33597	358	33	-	-	ADJ
bracis-33597	358	34	flat	flat	ADJ
bracis-33597	358	35	assumption	assumption	NOUN
bracis-33597	358	36	-	-	PUNCT
bracis-33597	358	37	based	base	VERB
bracis-33597	358	38	argumentation	argumentation	NOUN
bracis-33597	358	39	.	.	PUNCT
bracis-33597	359	1	in	in	ADP
bracis-33597	359	2	:	:	PUNCT
bracis-33597	359	3	an	an	PRON
bracis-33597	359	4	,	,	PUNCT
bracis-33597	359	5	b.	b.	PROPN
bracis-33597	359	6	,	,	PUNCT
bracis-33597	359	7	bazzan	bazzan	PROPN
bracis-33597	359	8	,	,	PUNCT
bracis-33597	359	9	a.	a.	PROPN
bracis-33597	359	10	,	,	PUNCT
bracis-33597	359	11	leite	leite	PROPN
bracis-33597	359	12	,	,	PUNCT
bracis-33597	359	13	j.	j.	PROPN
bracis-33597	359	14	,	,	PUNCT
bracis-33597	359	15	villata	villata	PROPN
bracis-33597	359	16	,	,	PUNCT
bracis-33597	359	17	s.	s.	PROPN
bracis-33597	359	18	,	,	PUNCT
bracis-33597	359	19	van	van	PROPN
bracis-33597	359	20	der	der	PROPN
bracis-33597	359	21	torre	torre	PROPN
bracis-33597	359	22	,	,	PUNCT
bracis-33597	359	23	l.	l.	PROPN
bracis-33597	359	24	(	(	PUNCT
bracis-33597	359	25	eds	eds	PROPN
bracis-33597	359	26	.	.	PUNCT
bracis-33597	359	27	)	)	PUNCT
bracis-33597	359	28	prima	prima	NOUN
bracis-33597	359	29	2017	2017	NUM
bracis-33597	359	30	.	.	PUNCT
bracis-33597	360	1	lncs	lncs	PROPN
bracis-33597	360	2	(	(	PUNCT
bracis-33597	360	3	lnai	lnai	ADJ
bracis-33597	360	4	)	)	PUNCT
bracis-33597	360	5	,	,	PUNCT
bracis-33597	360	6	vol	vol	NOUN
bracis-33597	360	7	.	.	PROPN
bracis-33597	360	8	10621	10621	NUM
bracis-33597	360	9	,	,	PUNCT
bracis-33597	360	10	pp	pp	ADP
bracis-33597	360	11	.	.	PUNCT
bracis-33597	361	1	386–402	386–402	NUM
bracis-33597	361	2	.	.	PUNCT
bracis-33597	361	3	springer	springer	NOUN
bracis-33597	361	4	,	,	PUNCT
bracis-33597	361	5	cham	cham	PROPN
bracis-33597	361	6	(	(	PUNCT
bracis-33597	361	7	2017	2017	NUM
bracis-33597	361	8	)	)	PUNCT
bracis-33597	361	9	.	.	PUNCT
bracis-33597	362	1	https://doi.org/10.1007/978-3-319-69131-2_23	https://doi.org/10.1007/978-3-319-69131-2_23	NOUN
bracis-33597	362	2	chapter	chapter	NOUN
bracis-33597	362	3	  	  	SPACE
bracis-33597	362	4	math	math	NOUN
bracis-33597	362	5	  	  	SPACE
bracis-33597	362	6	google	google	PROPN
bracis-33597	362	7	scholar	scholar	NOUN
bracis-33597	362	8	  	  	SPACE
bracis-33597	362	9	dung	dung	NOUN
bracis-33597	362	10	,	,	PUNCT
bracis-33597	362	11	p.	p.	NOUN
bracis-33597	362	12	:	:	PUNCT
bracis-33597	362	13	on	on	ADP
bracis-33597	362	14	the	the	DET
bracis-33597	362	15	acceptability	acceptability	NOUN
bracis-33597	362	16	of	of	ADP
bracis-33597	362	17	arguments	argument	NOUN
bracis-33597	362	18	and	and	CCONJ
bracis-33597	362	19	its	its	PRON
bracis-33597	362	20	fundamental	fundamental	ADJ
bracis-33597	362	21	role	role	NOUN
bracis-33597	362	22	in	in	ADP
bracis-33597	362	23	nonmonotonic	nonmonotonic	ADJ
bracis-33597	362	24	reasoning	reasoning	NOUN
bracis-33597	362	25	,	,	PUNCT
bracis-33597	362	26	logic	logic	NOUN
bracis-33597	362	27	programming	programming	NOUN
bracis-33597	362	28	and	and	CCONJ
bracis-33597	362	29	n	n	CCONJ
bracis-33597	362	30	-	-	PUNCT
bracis-33597	362	31	person	person	NOUN
bracis-33597	362	32	games	game	NOUN
bracis-33597	362	33	.	.	PUNCT
bracis-33597	363	1	artif	artif	INTJ
bracis-33597	363	2	.	.	PUNCT
bracis-33597	364	1	intell	intell	PROPN
bracis-33597	364	2	.	.	PUNCT
bracis-33597	365	1	77(2	77(2	X
bracis-33597	365	2	)	)	PUNCT
bracis-33597	365	3	,	,	PUNCT
bracis-33597	365	4	321–357	321–357	NUM
bracis-33597	365	5	(	(	PUNCT
bracis-33597	365	6	1995	1995	NUM
bracis-33597	365	7	)	)	PUNCT
bracis-33597	365	8	article	article	NOUN
bracis-33597	365	9	  	  	SPACE
bracis-33597	365	10	mathscinet	mathscinet	NOUN
bracis-33597	365	11	  	  	SPACE
bracis-33597	365	12	math	math	NOUN
bracis-33597	365	13	  	  	SPACE
bracis-33597	365	14	google	google	PROPN
bracis-33597	365	15	scholar	scholar	NOUN
bracis-33597	365	16	  	  	SPACE
bracis-33597	365	17	eiter	eiter	NOUN
bracis-33597	365	18	,	,	PUNCT
bracis-33597	365	19	t.	t.	PROPN
bracis-33597	365	20	,	,	PUNCT
bracis-33597	365	21	leone	leone	NOUN
bracis-33597	365	22	,	,	PUNCT
bracis-33597	365	23	n.	n.	NOUN
bracis-33597	365	24	,	,	PUNCT
bracis-33597	365	25	saccá	saccá	PROPN
bracis-33597	365	26	,	,	PUNCT
bracis-33597	365	27	d.	d.	PROPN
bracis-33597	365	28	:	:	PUNCT
bracis-33597	365	29	on	on	ADP
bracis-33597	365	30	the	the	DET
bracis-33597	365	31	partial	partial	ADJ
bracis-33597	365	32	semantics	semantic	NOUN
bracis-33597	365	33	for	for	ADP
bracis-33597	365	34	disjunctive	disjunctive	ADJ
bracis-33597	365	35	deductive	deductive	ADJ
bracis-33597	365	36	databases	database	NOUN
bracis-33597	365	37	.	.	PUNCT
bracis-33597	366	1	ann	ann	PROPN
bracis-33597	366	2	.	.	PUNCT
bracis-33597	366	3	math	math	PROPN
bracis-33597	366	4	.	.	PUNCT
bracis-33597	367	1	artif	artif	INTJ
bracis-33597	367	2	.	.	PUNCT
bracis-33597	368	1	intell	intell	PROPN
bracis-33597	368	2	.	.	PUNCT
bracis-33597	369	1	19(1–2	19(1–2	NUM
bracis-33597	369	2	)	)	PUNCT
bracis-33597	369	3	,	,	PUNCT
bracis-33597	369	4	59–96	59–96	NUM
bracis-33597	369	5	(	(	PUNCT
bracis-33597	369	6	1997	1997	NUM
bracis-33597	369	7	)	)	PUNCT
bracis-33597	369	8	article	article	NOUN
bracis-33597	369	9	  	  	SPACE
bracis-33597	369	10	mathscinet	mathscinet	NOUN
bracis-33597	369	11	  	  	SPACE
bracis-33597	369	12	math	math	NOUN
bracis-33597	369	13	  	  	SPACE
bracis-33597	369	14	google	google	PROPN
bracis-33597	369	15	scholar	scholar	NOUN
bracis-33597	369	16	  	  	SPACE
bracis-33597	369	17	przymusinski	przymusinski	NOUN
bracis-33597	369	18	,	,	PUNCT
bracis-33597	369	19	t.	t.	PROPN
bracis-33597	369	20	:	:	PUNCT
bracis-33597	369	21	the	the	DET
bracis-33597	369	22	well	well	ADV
bracis-33597	369	23	-	-	PUNCT
bracis-33597	369	24	founded	found	VERB
bracis-33597	369	25	semantics	semantic	NOUN
bracis-33597	369	26	coincides	coincide	VERB
bracis-33597	369	27	with	with	ADP
bracis-33597	369	28	the	the	DET
bracis-33597	369	29	three	three	NUM
bracis-33597	369	30	-	-	PUNCT
bracis-33597	369	31	valued	value	VERB
bracis-33597	369	32	stable	stable	ADJ
bracis-33597	369	33	semantics	semantic	NOUN
bracis-33597	369	34	.	.	PUNCT
bracis-33597	370	1	fund	fund	PROPN
bracis-33597	370	2	.	.	PUNCT
bracis-33597	371	1	inform	inform	NOUN
bracis-33597	371	2	.	.	PUNCT
bracis-33597	372	1	13(4	13(4	NUM
bracis-33597	372	2	)	)	PUNCT
bracis-33597	372	3	,	,	PUNCT
bracis-33597	372	4	445–463	445–463	NUM
bracis-33597	372	5	(	(	PUNCT
bracis-33597	372	6	1990	1990	NUM
bracis-33597	372	7	)	)	PUNCT
bracis-33597	372	8	mathscinet	mathscinet	NOUN
bracis-33597	372	9	  	  	SPACE
bracis-33597	372	10	math	math	NOUN
bracis-33597	372	11	  	  	SPACE
bracis-33597	372	12	google	google	PROPN
bracis-33597	372	13	scholar	scholar	NOUN
bracis-33597	372	14	  	  	SPACE
bracis-33597	372	15	rocha	rocha	PROPN
bracis-33597	372	16	,	,	PUNCT
bracis-33597	372	17	v.h.n	v.h.n	NOUN
bracis-33597	372	18	.	.	PUNCT
bracis-33597	372	19	,	,	PUNCT
bracis-33597	372	20	cozman	cozman	NOUN
bracis-33597	372	21	,	,	PUNCT
bracis-33597	372	22	f.g	f.g	NOUN
bracis-33597	372	23	.	.	PUNCT
bracis-33597	372	24	:	:	PUNCT
bracis-33597	372	25	bipolar	bipolar	ADJ
bracis-33597	372	26	argumentation	argumentation	NOUN
bracis-33597	372	27	frameworks	framework	NOUN
bracis-33597	372	28	with	with	ADP
bracis-33597	372	29	explicit	explicit	ADJ
bracis-33597	372	30	conclusions	conclusion	NOUN
bracis-33597	372	31	:	:	PUNCT
bracis-33597	372	32	connecting	connect	VERB
bracis-33597	372	33	argumentation	argumentation	NOUN
bracis-33597	372	34	and	and	CCONJ
bracis-33597	372	35	logic	logic	NOUN
bracis-33597	372	36	programming	programming	NOUN
bracis-33597	372	37	.	.	PUNCT
bracis-33597	373	1	in	in	ADP
bracis-33597	373	2	:	:	PUNCT
bracis-33597	373	3	nmr	nmr	NOUN
bracis-33597	373	4	,	,	PUNCT
bracis-33597	373	5	pp	pp	ADJ
bracis-33597	373	6	.	.	PUNCT
bracis-33597	374	1	49–60	49–60	NUM
bracis-33597	374	2	(	(	PUNCT
bracis-33597	374	3	2022	2022	NUM
bracis-33597	374	4	)	)	PUNCT
bracis-33597	374	5	google	google	PROPN
bracis-33597	374	6	scholar	scholar	NOUN
bracis-33597	374	7	  	  	SPACE
bracis-33597	374	8	strass	strass	NOUN
bracis-33597	374	9	,	,	PUNCT
bracis-33597	374	10	h.	h.	NOUN
bracis-33597	374	11	:	:	PUNCT
bracis-33597	374	12	approximating	approximate	VERB
bracis-33597	374	13	operators	operator	NOUN
bracis-33597	374	14	and	and	CCONJ
bracis-33597	374	15	semantics	semantic	NOUN
bracis-33597	374	16	for	for	ADP
bracis-33597	374	17	abstract	abstract	ADJ
bracis-33597	374	18	dialectical	dialectical	ADJ
bracis-33597	374	19	frameworks	framework	NOUN
bracis-33597	374	20	.	.	PUNCT
bracis-33597	375	1	artif	artif	INTJ
bracis-33597	375	2	.	.	PUNCT
bracis-33597	376	1	intell	intell	PROPN
bracis-33597	376	2	.	.	PUNCT
bracis-33597	377	1	205	205	NUM
bracis-33597	377	2	,	,	PUNCT
bracis-33597	377	3	39–70	39–70	NUM
bracis-33597	377	4	(	(	PUNCT
bracis-33597	377	5	2013	2013	NUM
bracis-33597	377	6	)	)	PUNCT
bracis-33597	377	7	article	article	NOUN
bracis-33597	377	8	  	  	SPACE
bracis-33597	377	9	mathscinet	mathscinet	NOUN
bracis-33597	377	10	  	  	SPACE
bracis-33597	377	11	math	math	NOUN
bracis-33597	377	12	  	  	SPACE
bracis-33597	377	13	google	google	PROPN
bracis-33597	377	14	scholar	scholar	NOUN
bracis-33597	377	15	  	  	SPACE
bracis-33597	377	16	toni	toni	NOUN
bracis-33597	377	17	,	,	PUNCT
bracis-33597	377	18	f.	f.	PROPN
bracis-33597	377	19	,	,	PUNCT
bracis-33597	377	20	et	et	PROPN
bracis-33597	377	21	 	 	SPACE
bracis-33597	377	22	al	al	PROPN
bracis-33597	377	23	.	.	PROPN
bracis-33597	377	24	:	:	PUNCT
bracis-33597	378	1	just	just	ADV
bracis-33597	378	2	a	a	DET
bracis-33597	378	3	matter	matter	NOUN
bracis-33597	378	4	of	of	ADP
bracis-33597	378	5	perspective	perspective	NOUN
bracis-33597	378	6	.	.	PUNCT
bracis-33597	379	1	comput	comput	NOUN
bracis-33597	379	2	.	.	PUNCT
bracis-33597	380	1	models	model	NOUN
bracis-33597	380	2	argument	argument	NOUN
bracis-33597	380	3	:	:	PUNCT
bracis-33597	380	4	proc	proc	NOUN
bracis-33597	380	5	.	.	PUNCT
bracis-33597	381	1	comma	comma	NOUN
bracis-33597	381	2	2022	2022	NUM
bracis-33597	381	3	353	353	NUM
bracis-33597	381	4	,	,	PUNCT
bracis-33597	381	5	212	212	NUM
bracis-33597	381	6	(	(	PUNCT
bracis-33597	381	7	2022	2022	NUM
bracis-33597	381	8	)	)	PUNCT
bracis-33597	381	9	google	google	PROPN
bracis-33597	381	10	scholar	scholar	NOUN
bracis-33597	381	11	  	  	SPACE
bracis-33597	381	12	wu	wu	PROPN
bracis-33597	381	13	,	,	PUNCT
bracis-33597	381	14	y.	y.	PROPN
bracis-33597	381	15	,	,	PUNCT
bracis-33597	381	16	caminada	caminada	PROPN
bracis-33597	381	17	,	,	PUNCT
bracis-33597	381	18	m.	m.	NOUN
bracis-33597	381	19	,	,	PUNCT
bracis-33597	381	20	gabbay	gabbay	PROPN
bracis-33597	381	21	,	,	PUNCT
bracis-33597	381	22	d.m	d.m	PROPN
bracis-33597	381	23	.	.	PUNCT
bracis-33597	381	24	:	:	PUNCT
bracis-33597	382	1	complete	complete	ADJ
bracis-33597	382	2	extensions	extension	NOUN
bracis-33597	382	3	in	in	ADP
bracis-33597	382	4	argumentation	argumentation	NOUN
bracis-33597	382	5	coincide	coincide	NOUN
bracis-33597	382	6	with	with	ADP
bracis-33597	382	7	3	3	NUM
bracis-33597	382	8	-	-	PUNCT
bracis-33597	382	9	valued	value	VERB
bracis-33597	382	10	stable	stable	ADJ
bracis-33597	382	11	models	model	NOUN
bracis-33597	382	12	in	in	ADP
bracis-33597	382	13	logic	logic	NOUN
bracis-33597	382	14	programming	programming	NOUN
bracis-33597	382	15	.	.	PUNCT
bracis-33597	383	1	stud	stud	PROPN
bracis-33597	383	2	.	.	PUNCT
bracis-33597	384	1	logica	logica	PROPN
bracis-33597	384	2	.	.	PUNCT
bracis-33597	385	1	93(2–3	93(2–3	NUM
bracis-33597	385	2	)	)	PUNCT
bracis-33597	385	3	,	,	PUNCT
bracis-33597	385	4	383	383	NUM
bracis-33597	385	5	(	(	PUNCT
bracis-33597	385	6	2009	2009	NUM
bracis-33597	385	7	)	)	PUNCT
bracis-33597	385	8	article	article	NOUN
bracis-33597	385	9	  	  	SPACE
bracis-33597	385	10	mathscinet	mathscinet	NOUN
bracis-33597	385	11	  	  	SPACE
bracis-33597	385	12	math	math	NOUN
bracis-33597	385	13	  	  	SPACE
bracis-33597	385	14	google	google	PROPN
bracis-33597	385	15	scholar	scholar	NOUN
bracis-33597	385	16	  	  	SPACE
bracis-33597	385	17	download	download	NOUN
bracis-33597	385	18	references	reference	NOUN
bracis-33597	385	19	acknowledgments	acknowledgment	NOUN
bracis-33597	385	20	this	this	DET
bracis-33597	385	21	work	work	NOUN
bracis-33597	385	22	was	be	AUX
bracis-33597	385	23	supported	support	VERB
bracis-33597	385	24	by	by	ADP
bracis-33597	385	25	the	the	DET
bracis-33597	385	26	brazilian	brazilian	ADJ
bracis-33597	385	27	research	research	NOUN
bracis-33597	385	28	agencies	agency	NOUN
bracis-33597	385	29	funcap	funcap	VERB
bracis-33597	385	30	and	and	CCONJ
bracis-33597	385	31	cnpq	cnpq	NOUN
bracis-33597	385	32	.	.	PUNCT
bracis-33597	386	1	author	author	NOUN
bracis-33597	386	2	information	information	NOUN
bracis-33597	386	3	authors	author	NOUN
bracis-33597	386	4	and	and	CCONJ
bracis-33597	386	5	affiliations	affiliation	NOUN
bracis-33597	386	6	department	department	PROPN
bracis-33597	386	7	of	of	ADP
bracis-33597	386	8	computer	computer	NOUN
bracis-33597	386	9	science	science	NOUN
bracis-33597	386	10	,	,	PUNCT
bracis-33597	386	11	federal	federal	ADJ
bracis-33597	386	12	university	university	PROPN
bracis-33597	386	13	of	of	ADP
bracis-33597	386	14	ceará	ceará	NOUN
bracis-33597	386	15	,	,	PUNCT
bracis-33597	386	16	fortaleza	fortaleza	PROPN
bracis-33597	386	17	,	,	PUNCT
bracis-33597	386	18	brazil	brazil	PROPN
bracis-33597	386	19	renan	renan	PROPN
bracis-33597	386	20	cordeiro	cordeiro	PROPN
bracis-33597	386	21	 	 	SPACE
bracis-33597	386	22	&	&	CCONJ
bracis-33597	386	23	 	 	SPACE
bracis-33597	386	24	joão	joão	PROPN
bracis-33597	386	25	alcântara	alcântara	PROPN
bracis-33597	386	26	authors	author	NOUN
bracis-33597	386	27	renan	renan	PROPN
bracis-33597	386	28	cordeiroview	cordeiroview	PROPN
bracis-33597	386	29	author	author	NOUN
bracis-33597	386	30	publications	publication	NOUN
bracis-33597	386	31	search	search	NOUN
bracis-33597	386	32	author	author	NOUN
bracis-33597	386	33	on	on	ADP
bracis-33597	386	34	:	:	PUNCT
bracis-33597	386	35	pubmed	pubmed	PROPN
bracis-33597	386	36	 	 	SPACE
bracis-33597	386	37	google	google	PROPN
bracis-33597	386	38	scholar	scholar	PROPN
bracis-33597	386	39	joão	joão	PROPN
bracis-33597	386	40	alcântaraview	alcântaraview	PROPN
bracis-33597	386	41	author	author	NOUN
bracis-33597	386	42	publications	publication	VERB
bracis-33597	386	43	search	search	NOUN
bracis-33597	386	44	author	author	NOUN
bracis-33597	386	45	on	on	ADP
bracis-33597	386	46	:	:	PUNCT
bracis-33597	386	47	pubmed	pubmed	PROPN
bracis-33597	386	48	 	 	SPACE
bracis-33597	386	49	google	google	PROPN
bracis-33597	386	50	scholar	scholar	NOUN
bracis-33597	386	51	corresponding	correspond	VERB
bracis-33597	386	52	author	author	NOUN
bracis-33597	386	53	correspondence	correspondence	NOUN
bracis-33597	386	54	to	to	ADP
bracis-33597	386	55	renan	renan	PROPN
bracis-33597	386	56	cordeiro	cordeiro	PROPN
bracis-33597	386	57	.	.	PUNCT
bracis-33597	387	1	editor	editor	NOUN
bracis-33597	387	2	information	information	NOUN
bracis-33597	387	3	editors	editor	NOUN
bracis-33597	387	4	and	and	CCONJ
bracis-33597	387	5	affiliations	affiliation	NOUN
bracis-33597	387	6	universidade	universidade	VERB
bracis-33597	387	7	federal	federal	PROPN
bracis-33597	387	8	fluminense	fluminense	PROPN
bracis-33597	387	9	,	,	PUNCT
bracis-33597	387	10	niterói	niterói	PROPN
bracis-33597	387	11	,	,	PUNCT
bracis-33597	387	12	brazil	brazil	PROPN
bracis-33597	387	13	aline	aline	PROPN
bracis-33597	387	14	paes	paes	PROPN
bracis-33597	387	15	instituto	instituto	PROPN
bracis-33597	387	16	tecnológico	tecnológico	PROPN
bracis-33597	387	17	de	de	PROPN
bracis-33597	387	18	aeronáutica	aeronáutica	PROPN
bracis-33597	387	19	,	,	PUNCT
bracis-33597	387	20	são	são	PROPN
bracis-33597	387	21	josé	josé	PROPN
bracis-33597	387	22	dos	dos	PROPN
bracis-33597	387	23	campos	campos	PROPN
bracis-33597	387	24	,	,	PUNCT
bracis-33597	387	25	brazil	brazil	PROPN
bracis-33597	387	26	filipe	filipe	PROPN
bracis-33597	387	27	a.	a.	PROPN
bracis-33597	387	28	n.	n.	PROPN
bracis-33597	387	29	verri	verri	PROPN
bracis-33597	387	30	ethics	ethic	NOUN
bracis-33597	387	31	declarations	declaration	VERB
bracis-33597	387	32	disclosure	disclosure	NOUN
bracis-33597	387	33	of	of	ADP
bracis-33597	387	34	interests	interest	NOUN
bracis-33597	387	35	the	the	DET
bracis-33597	387	36	authors	author	NOUN
bracis-33597	387	37	have	have	VERB
bracis-33597	387	38	no	no	DET
bracis-33597	387	39	competing	compete	VERB
bracis-33597	387	40	interests	interest	NOUN
bracis-33597	387	41	to	to	PART
bracis-33597	387	42	declare	declare	VERB
bracis-33597	387	43	that	that	PRON
bracis-33597	387	44	are	be	AUX
bracis-33597	387	45	relevant	relevant	ADJ
bracis-33597	387	46	to	to	ADP
bracis-33597	387	47	the	the	DET
bracis-33597	387	48	content	content	NOUN
bracis-33597	387	49	of	of	ADP
bracis-33597	387	50	this	this	DET
bracis-33597	387	51	article	article	NOUN
bracis-33597	387	52	.	.	PUNCT
bracis-33597	388	1	rights	right	NOUN
bracis-33597	388	2	and	and	CCONJ
bracis-33597	388	3	permissions	permission	NOUN
bracis-33597	388	4	reprints	reprint	NOUN
bracis-33597	388	5	and	and	CCONJ
bracis-33597	388	6	permissions	permission	VERB
bracis-33597	388	7	copyright	copyright	NOUN
bracis-33597	388	8	information	information	NOUN
bracis-33597	388	9	©	©	ADP
bracis-33597	388	10	2025	2025	NUM
bracis-33597	388	11	the	the	DET
bracis-33597	388	12	author(s	author(s	NOUN
bracis-33597	388	13	)	)	PUNCT
bracis-33597	388	14	,	,	PUNCT
bracis-33597	388	15	under	under	ADP
bracis-33597	388	16	exclusive	exclusive	ADJ
bracis-33597	388	17	license	license	NOUN
bracis-33597	388	18	to	to	ADP
bracis-33597	388	19	springer	springer	NOUN
bracis-33597	388	20	nature	nature	PROPN
bracis-33597	388	21	switzerland	switzerland	PROPN
bracis-33597	388	22	ag	ag	PROPN
bracis-33597	388	23	about	about	ADP
bracis-33597	388	24	this	this	DET
bracis-33597	388	25	paper	paper	NOUN
bracis-33597	388	26	cite	cite	VERB
bracis-33597	388	27	this	this	DET
bracis-33597	388	28	paper	paper	NOUN
bracis-33597	388	29	cordeiro	cordeiro	PROPN
bracis-33597	388	30	,	,	PUNCT
bracis-33597	388	31	r.	r.	PROPN
bracis-33597	388	32	,	,	PUNCT
bracis-33597	388	33	alcântara	alcântara	ADJ
bracis-33597	388	34	,	,	PUNCT
bracis-33597	388	35	j.	j.	PROPN
bracis-33597	388	36	(	(	PUNCT
bracis-33597	388	37	2025	2025	NUM
bracis-33597	388	38	)	)	PUNCT
bracis-33597	388	39	.	.	PUNCT
bracis-33597	389	1	on	on	ADP
bracis-33597	389	2	the	the	DET
bracis-33597	389	3	 	 	SPACE
bracis-33597	389	4	equivalence	equivalence	NOUN
bracis-33597	389	5	between	between	ADP
bracis-33597	389	6	logic	logic	NOUN
bracis-33597	389	7	programs	program	NOUN
bracis-33597	389	8	and	and	CCONJ
bracis-33597	389	9	 	 	SPACE
bracis-33597	389	10	bipolar	bipolar	ADJ
bracis-33597	389	11	argumentation	argumentation	NOUN
bracis-33597	389	12	frameworks	framework	NOUN
bracis-33597	389	13	.	.	PUNCT
bracis-33597	390	1	in	in	ADP
bracis-33597	390	2	:	:	PUNCT
bracis-33597	390	3	paes	paes	PROPN
bracis-33597	390	4	,	,	PUNCT
bracis-33597	390	5	a.	a.	PROPN
bracis-33597	390	6	,	,	PUNCT
bracis-33597	390	7	verri	verri	NOUN
bracis-33597	390	8	,	,	PUNCT
bracis-33597	390	9	f.a.n	f.a.n	ADJ
bracis-33597	390	10	.	.	PUNCT
bracis-33597	390	11	(	(	PUNCT
bracis-33597	390	12	eds	ed	NOUN
bracis-33597	390	13	)	)	PUNCT
bracis-33597	390	14	intelligent	intelligent	ADJ
bracis-33597	390	15	systems	system	NOUN
bracis-33597	390	16	.	.	PUNCT
bracis-33597	390	17	bracis	bracis	PROPN
bracis-33597	390	18	2024	2024	NUM
bracis-33597	390	19	.	.	PUNCT
bracis-33597	391	1	lecture	lecture	NOUN
bracis-33597	391	2	notes	note	NOUN
bracis-33597	391	3	in	in	ADP
bracis-33597	391	4	computer	computer	NOUN
bracis-33597	391	5	science	science	NOUN
bracis-33597	391	6	(	(	PUNCT
bracis-33597	391	7	)	)	PUNCT
bracis-33597	391	8	,	,	PUNCT
bracis-33597	391	9	vol	vol	NOUN
bracis-33597	391	10	15413	15413	NUM
bracis-33597	391	11	.	.	PUNCT
bracis-33597	392	1	springer	springer	NOUN
bracis-33597	392	2	,	,	PUNCT
bracis-33597	392	3	cham	cham	PROPN
bracis-33597	392	4	.	.	PUNCT
bracis-33597	393	1	https://doi.org/10.1007/978-3-031-79032-4_17	https://doi.org/10.1007/978-3-031-79032-4_17	PROPN
bracis-33597	393	2	download	download	NOUN
bracis-33597	393	3	citation	citation	NOUN
bracis-33597	393	4	.ris	.ris	PUNCT
bracis-33597	393	5	.enw	.enw	PROPN
bracis-33597	393	6	.bib	.bib	PUNCT
bracis-33597	394	1	doi	doi	PROPN
bracis-33597	394	2	:	:	PUNCT
bracis-33597	394	3	https://doi.org/10.1007/978-3-031-79032-4_17	https://doi.org/10.1007/978-3-031-79032-4_17	PROPN
bracis-33597	394	4	published	publish	VERB
bracis-33597	394	5	:	:	PUNCT
bracis-33597	394	6	30	30	NUM
bracis-33597	394	7	january	january	PROPN
bracis-33597	394	8	2025	2025	NUM
bracis-33597	394	9	publisher	publisher	NOUN
bracis-33597	394	10	name	name	NOUN
bracis-33597	394	11	:	:	PUNCT
bracis-33597	394	12	springer	springer	NOUN
bracis-33597	394	13	,	,	PUNCT
bracis-33597	394	14	cham	cham	PROPN
bracis-33597	394	15	print	print	PROPN
bracis-33597	394	16	isbn	isbn	PROPN
bracis-33597	394	17	:	:	PUNCT
bracis-33597	394	18	978	978	NUM
bracis-33597	394	19	-	-	SYM
bracis-33597	394	20	3	3	NUM
bracis-33597	394	21	-	-	PUNCT
bracis-33597	394	22	031	031	NUM
bracis-33597	394	23	-	-	PUNCT
bracis-33597	394	24	79031	79031	NUM
bracis-33597	394	25	-	-	SYM
bracis-33597	394	26	7	7	NUM
bracis-33597	394	27	online	online	ADJ
bracis-33597	394	28	isbn	isbn	NOUN
bracis-33597	394	29	:	:	PUNCT
bracis-33597	394	30	978	978	NUM
bracis-33597	394	31	-	-	SYM
bracis-33597	394	32	3	3	NUM
bracis-33597	394	33	-	-	PUNCT
bracis-33597	394	34	031	031	NUM
bracis-33597	394	35	-	-	PUNCT
bracis-33597	394	36	79032	79032	NUM
bracis-33597	394	37	-	-	SYM
bracis-33597	394	38	4	4	NUM
bracis-33597	394	39	ebook	ebook	NOUN
bracis-33597	394	40	packages	package	NOUN
bracis-33597	394	41	:	:	PUNCT
bracis-33597	394	42	computer	computer	NOUN
bracis-33597	394	43	sciencecomputer	sciencecomputer	NOUN
bracis-33597	394	44	science	science	NOUN
bracis-33597	394	45	(	(	PUNCT
bracis-33597	394	46	r0	r0	NOUN
bracis-33597	394	47	)	)	PUNCT
bracis-33597	394	48	share	share	VERB
bracis-33597	394	49	this	this	DET
bracis-33597	394	50	paper	paper	NOUN
bracis-33597	394	51	anyone	anyone	PRON
bracis-33597	394	52	you	you	PRON
bracis-33597	394	53	share	share	VERB
bracis-33597	394	54	the	the	DET
bracis-33597	394	55	following	follow	VERB
bracis-33597	394	56	link	link	NOUN
bracis-33597	394	57	with	with	ADP
bracis-33597	394	58	will	will	AUX
bracis-33597	394	59	be	be	AUX
bracis-33597	394	60	able	able	ADJ
bracis-33597	394	61	to	to	PART
bracis-33597	394	62	read	read	VERB
bracis-33597	394	63	this	this	DET
bracis-33597	394	64	content	content	NOUN
bracis-33597	394	65	:	:	PUNCT
bracis-33597	394	66	get	get	VERB
bracis-33597	394	67	shareable	shareable	ADJ
bracis-33597	394	68	linksorry	linksorry	NOUN
bracis-33597	394	69	,	,	PUNCT
bracis-33597	394	70	a	a	DET
bracis-33597	394	71	shareable	shareable	ADJ
bracis-33597	394	72	link	link	NOUN
bracis-33597	394	73	is	be	AUX
bracis-33597	394	74	not	not	PART
bracis-33597	394	75	currently	currently	ADV
bracis-33597	394	76	available	available	ADJ
bracis-33597	394	77	for	for	ADP
bracis-33597	394	78	this	this	DET
bracis-33597	394	79	article	article	NOUN
bracis-33597	394	80	.	.	PUNCT
bracis-33597	395	1	copy	copy	VERB
bracis-33597	395	2	shareable	shareable	ADJ
bracis-33597	395	3	link	link	NOUN
bracis-33597	395	4	to	to	PART
bracis-33597	395	5	clipboard	clipboard	NOUN
bracis-33597	395	6	provided	provide	VERB
bracis-33597	395	7	by	by	ADP
bracis-33597	395	8	the	the	DET
bracis-33597	395	9	springer	springer	NOUN
bracis-33597	395	10	nature	nature	PROPN
bracis-33597	395	11	sharedit	sharedit	PROPN
bracis-33597	395	12	content	content	NOUN
bracis-33597	395	13	-	-	PUNCT
bracis-33597	395	14	sharing	share	VERB
bracis-33597	395	15	initiative	initiative	NOUN
bracis-33597	395	16	keywords	keyword	NOUN
bracis-33597	395	17	equivalence	equivalence	VERB
bracis-33597	395	18	bipolar	bipolar	ADJ
bracis-33597	395	19	argumentation	argumentation	NOUN
bracis-33597	395	20	logic	logic	NOUN
bracis-33597	395	21	programming	programming	NOUN
bracis-33597	395	22	publish	publish	NOUN
bracis-33597	395	23	with	with	ADP
bracis-33597	395	24	us	us	PROPN
bracis-33597	395	25	policies	policy	NOUN
bracis-33597	395	26	and	and	CCONJ
bracis-33597	395	27	ethics	ethic	NOUN
bracis-33597	395	28	profiles	profile	NOUN
bracis-33597	395	29	renan	renan	PROPN
bracis-33597	395	30	cordeiro	cordeiro	PROPN
bracis-33597	395	31	view	view	PROPN
bracis-33597	395	32	author	author	NOUN
bracis-33597	395	33	profile	profile	NOUN
bracis-33597	395	34	search	search	NOUN
bracis-33597	395	35	search	search	NOUN
bracis-33597	395	36	by	by	ADP
bracis-33597	395	37	keyword	keyword	NOUN
bracis-33597	395	38	or	or	CCONJ
bracis-33597	395	39	author	author	NOUN
bracis-33597	395	40	search	search	NOUN
bracis-33597	395	41	navigation	navigation	NOUN
bracis-33597	395	42	find	find	VERB
bracis-33597	395	43	a	a	DET
bracis-33597	395	44	journal	journal	NOUN
bracis-33597	395	45	publish	publish	VERB
bracis-33597	395	46	with	with	ADP
bracis-33597	395	47	us	we	PRON
bracis-33597	395	48	track	track	VERB
bracis-33597	395	49	your	your	PRON
bracis-33597	395	50	research	research	NOUN
bracis-33597	395	51	discover	discover	VERB
bracis-33597	395	52	content	content	NOUN
bracis-33597	395	53	journals	journal	NOUN
bracis-33597	395	54	a	a	DET
bracis-33597	395	55	-	-	PUNCT
bracis-33597	395	56	z	z	NOUN
bracis-33597	395	57	books	book	NOUN
bracis-33597	395	58	a	a	DET
bracis-33597	395	59	-	-	PUNCT
bracis-33597	395	60	z	z	NOUN
bracis-33597	395	61	publish	publish	NOUN
bracis-33597	395	62	with	with	ADP
bracis-33597	395	63	us	us	PROPN
bracis-33597	395	64	journal	journal	PROPN
bracis-33597	395	65	finder	finder	PROPN
bracis-33597	395	66	publish	publish	VERB
bracis-33597	395	67	your	your	PRON
bracis-33597	395	68	research	research	NOUN
bracis-33597	395	69	language	language	NOUN
bracis-33597	395	70	editing	edit	VERB
bracis-33597	395	71	open	open	ADJ
bracis-33597	395	72	access	access	NOUN
bracis-33597	395	73	publishing	publishing	NOUN
bracis-33597	395	74	products	product	NOUN
bracis-33597	395	75	and	and	CCONJ
bracis-33597	395	76	services	service	NOUN
bracis-33597	395	77	our	our	PRON
bracis-33597	395	78	products	product	NOUN
bracis-33597	395	79	librarians	librarian	VERB
bracis-33597	395	80	societies	society	NOUN
bracis-33597	395	81	partners	partner	NOUN
bracis-33597	395	82	and	and	CCONJ
bracis-33597	395	83	advertisers	advertiser	NOUN
bracis-33597	395	84	our	our	PRON
bracis-33597	395	85	brands	brand	NOUN
bracis-33597	395	86	springer	springer	NOUN
bracis-33597	395	87	nature	nature	PROPN
bracis-33597	395	88	portfolio	portfolio	PROPN
bracis-33597	395	89	bmc	bmc	PROPN
bracis-33597	395	90	palgrave	palgrave	PROPN
bracis-33597	395	91	macmillan	macmillan	PROPN
bracis-33597	395	92	apress	apress	PROPN
bracis-33597	395	93	discover	discover	VERB
bracis-33597	395	94	your	your	PRON
bracis-33597	395	95	privacy	privacy	NOUN
bracis-33597	395	96	choices	choice	NOUN
bracis-33597	395	97	/	/	SYM
bracis-33597	395	98	manage	manage	NOUN
bracis-33597	395	99	cookies	cookie	NOUN
bracis-33597	395	100	your	your	PRON
bracis-33597	395	101	us	us	PROPN
bracis-33597	396	1	state	state	NOUN
bracis-33597	396	2	privacy	privacy	NOUN
bracis-33597	396	3	rights	right	NOUN
bracis-33597	396	4	accessibility	accessibility	NOUN
bracis-33597	396	5	statement	statement	NOUN
bracis-33597	396	6	terms	term	NOUN
bracis-33597	396	7	and	and	CCONJ
bracis-33597	396	8	conditions	condition	NOUN
bracis-33597	396	9	privacy	privacy	NOUN
bracis-33597	396	10	policy	policy	NOUN
bracis-33597	396	11	help	help	NOUN
bracis-33597	396	12	and	and	CCONJ
bracis-33597	396	13	support	support	VERB
bracis-33597	396	14	legal	legal	ADJ
bracis-33597	396	15	notice	notice	NOUN
bracis-33597	396	16	cancel	cancel	VERB
bracis-33597	396	17	contracts	contract	NOUN
bracis-33597	396	18	here	here	ADV
bracis-33597	396	19	129.74.145.123	129.74.145.123	NUM
bracis-33597	396	20	hesburgh	hesburgh	PROPN
bracis-33597	396	21	library	library	PROPN
bracis-33597	396	22	er	er	INTJ
bracis-33597	396	23	unit	unit	NOUN
bracis-33597	396	24	(	(	PUNCT
bracis-33597	396	25	3005732405	3005732405	NUM
bracis-33597	396	26	)	)	PUNCT
bracis-33597	396	27	northeast	northeast	ADJ
bracis-33597	396	28	research	research	NOUN
bracis-33597	396	29	libraries	library	NOUN
bracis-33597	396	30	(	(	PUNCT
bracis-33597	396	31	nerl	nerl	PROPN
bracis-33597	396	32	)	)	PUNCT
bracis-33597	396	33	(	(	PUNCT
bracis-33597	396	34	8200828607	8200828607	NUM
bracis-33597	396	35	)	)	PUNCT
bracis-33597	396	36	nerl	nerl	VERB
bracis-33597	396	37	ta	ta	X
bracis-33597	396	38	account	account	NOUN
bracis-33597	396	39	(	(	PUNCT
bracis-33597	396	40	3006206169	3006206169	NUM
bracis-33597	396	41	)	)	PUNCT
bracis-33597	396	42	university	university	NOUN
bracis-33597	396	43	of	of	ADP
bracis-33597	396	44	notre	notre	PROPN
bracis-33597	396	45	dame	dame	PROPN
bracis-33597	396	46	hesburgh	hesburgh	PROPN
bracis-33597	396	47	library	library	NOUN
bracis-33597	396	48	(	(	PUNCT
bracis-33597	396	49	3000184373	3000184373	NUM
bracis-33597	396	50	)	)	PUNCT
bracis-33597	397	1	©	©	ADP
bracis-33597	397	2	2025	2025	NUM
bracis-33597	397	3	springer	springer	NOUN
bracis-33597	397	4	nature	nature	NOUN