id	sid	tid	token	lemma	pos
bracis-19040	1	1	aspic	aspic	NOUN
bracis-19040	1	2	^?$$	^?$$	PUNCT
bracis-19040	1	3	and	and	CCONJ
bracis-19040	1	4	the	the	DET
bracis-19040	1	5	postulates	postulate	NOUN
bracis-19040	1	6	of	of	ADP
bracis-19040	1	7	non	non	ADJ
bracis-19040	1	8	-	-	ADJ
bracis-19040	1	9	interference	interference	NOUN
bracis-19040	1	10	and	and	CCONJ
bracis-19040	1	11	crash	crash	NOUN
bracis-19040	1	12	-	-	PUNCT
bracis-19040	1	13	resistance	resistance	NOUN
bracis-19040	1	14	|	|	NOUN
bracis-19040	1	15	springer	springer	NOUN
bracis-19040	1	16	nature	nature	NOUN
bracis-19040	1	17	link	link	PROPN
bracis-19040	1	18	(	(	PUNCT
bracis-19040	1	19	formerly	formerly	ADV
bracis-19040	1	20	springerlink	springerlink	NOUN
bracis-19040	1	21	)	)	PUNCT
bracis-19040	1	22	skip	skip	VERB
bracis-19040	1	23	to	to	ADP
bracis-19040	1	24	main	main	ADJ
bracis-19040	1	25	content	content	NOUN
bracis-19040	1	26	advertisement	advertisement	NOUN
bracis-19040	1	27	log	log	NOUN
bracis-19040	1	28	in	in	ADP
bracis-19040	1	29	menu	menu	NOUN
bracis-19040	1	30	find	find	VERB
bracis-19040	1	31	a	a	DET
bracis-19040	1	32	journal	journal	NOUN
bracis-19040	1	33	publish	publish	VERB
bracis-19040	1	34	with	with	ADP
bracis-19040	1	35	us	we	PRON
bracis-19040	1	36	track	track	VERB
bracis-19040	1	37	your	your	PRON
bracis-19040	1	38	research	research	NOUN
bracis-19040	1	39	search	search	NOUN
bracis-19040	1	40	cart	cart	NOUN
bracis-19040	1	41	home	home	NOUN
bracis-19040	1	42	intelligent	intelligent	ADJ
bracis-19040	1	43	systems	system	NOUN
bracis-19040	1	44	conference	conference	NOUN
bracis-19040	1	45	paper	paper	NOUN
bracis-19040	2	1	\	\	PROPN
bracis-19040	2	2	(	(	PUNCT
bracis-19040	2	3	aspic	aspic	NOUN
bracis-19040	2	4	^?\	^?\	NUM
bracis-19040	2	5	)	)	PUNCT
bracis-19040	2	6	and	and	CCONJ
bracis-19040	2	7	the	the	DET
bracis-19040	2	8	postulates	postulate	NOUN
bracis-19040	2	9	of	of	ADP
bracis-19040	2	10	non	non	ADJ
bracis-19040	2	11	-	-	ADJ
bracis-19040	2	12	interference	interference	NOUN
bracis-19040	2	13	and	and	CCONJ
bracis-19040	2	14	crash	crash	NOUN
bracis-19040	2	15	-	-	PUNCT
bracis-19040	2	16	resistance	resistance	NOUN
bracis-19040	2	17	conference	conference	NOUN
bracis-19040	2	18	paper	paper	NOUN
bracis-19040	2	19	first	first	ADV
bracis-19040	2	20	online	online	ADV
bracis-19040	2	21	:	:	PUNCT
bracis-19040	2	22	28	28	NUM
bracis-19040	2	23	november	november	NOUN
bracis-19040	2	24	2021	2021	NUM
bracis-19040	2	25	pp	pp	PRON
bracis-19040	2	26	328–343	328–343	NUM
bracis-19040	2	27	cite	cite	VERB
bracis-19040	2	28	this	this	DET
bracis-19040	2	29	conference	conference	NOUN
bracis-19040	2	30	paper	paper	NOUN
bracis-19040	2	31	access	access	NOUN
bracis-19040	2	32	provided	provide	VERB
bracis-19040	2	33	by	by	ADP
bracis-19040	2	34	university	university	PROPN
bracis-19040	2	35	of	of	ADP
bracis-19040	2	36	notre	notre	PROPN
bracis-19040	2	37	dame	dame	PROPN
bracis-19040	2	38	hesburgh	hesburgh	PROPN
bracis-19040	2	39	library	library	PROPN
bracis-19040	2	40	download	download	PROPN
bracis-19040	2	41	book	book	NOUN
bracis-19040	2	42	pdf	pdf	PROPN
bracis-19040	2	43	download	download	NOUN
bracis-19040	2	44	book	book	NOUN
bracis-19040	2	45	epub	epub	PROPN
bracis-19040	2	46	intelligent	intelligent	ADJ
bracis-19040	2	47	systems	system	NOUN
bracis-19040	2	48	(	(	PUNCT
bracis-19040	2	49	bracis	bracis	NOUN
bracis-19040	2	50	2021	2021	NUM
bracis-19040	2	51	)	)	PUNCT
bracis-19040	3	1	\	\	PROPN
bracis-19040	3	2	(	(	PUNCT
bracis-19040	3	3	aspic	aspic	NOUN
bracis-19040	3	4	^?\	^?\	NUM
bracis-19040	3	5	)	)	PUNCT
bracis-19040	3	6	and	and	CCONJ
bracis-19040	3	7	the	the	DET
bracis-19040	3	8	postulates	postulate	NOUN
bracis-19040	3	9	of	of	ADP
bracis-19040	3	10	non	non	ADJ
bracis-19040	3	11	-	-	ADJ
bracis-19040	3	12	interference	interference	NOUN
bracis-19040	3	13	and	and	CCONJ
bracis-19040	3	14	crash	crash	NOUN
bracis-19040	3	15	-	-	PUNCT
bracis-19040	3	16	resistance	resistance	NOUN
bracis-19040	3	17	download	download	NOUN
bracis-19040	3	18	book	book	NOUN
bracis-19040	3	19	pdf	pdf	PROPN
bracis-19040	3	20	download	download	NOUN
bracis-19040	3	21	book	book	PROPN
bracis-19040	3	22	epub	epub	PROPN
bracis-19040	3	23	rafael	rafael	PROPN
bracis-19040	3	24	silva	silva	PROPN
bracis-19040	3	25	  	  	SPACE
bracis-19040	3	26	orcid	orcid	NOUN
bracis-19040	3	27	:	:	PUNCT
bracis-19040	3	28	orcid.org/0000-0002-2211-729910	orcid.org/0000-0002-2211-729910	NOUN
bracis-19040	3	29	&	&	CCONJ
bracis-19040	3	30	joão	joão	PROPN
bracis-19040	3	31	alcântara	alcântara	PROPN
bracis-19040	3	32	  	  	SPACE
bracis-19040	3	33	orcid	orcid	NOUN
bracis-19040	3	34	:	:	PUNCT
bracis-19040	3	35	orcid.org/0000-0002-4297-297010	orcid.org/0000-0002-4297-297010	ADJ
bracis-19040	3	36	  	  	SPACE
bracis-19040	3	37	part	part	NOUN
bracis-19040	3	38	of	of	ADP
bracis-19040	3	39	the	the	DET
bracis-19040	3	40	book	book	NOUN
bracis-19040	3	41	series	series	NOUN
bracis-19040	3	42	:	:	PUNCT
bracis-19040	3	43	lecture	lecture	NOUN
bracis-19040	3	44	notes	note	NOUN
bracis-19040	3	45	in	in	ADP
bracis-19040	3	46	computer	computer	NOUN
bracis-19040	3	47	science	science	NOUN
bracis-19040	3	48	(	(	PUNCT
bracis-19040	3	49	(	(	PUNCT
bracis-19040	3	50	lnai	lnai	ADJ
bracis-19040	3	51	,	,	PUNCT
bracis-19040	3	52	volume	volume	NOUN
bracis-19040	3	53	13073	13073	NUM
bracis-19040	3	54	)	)	PUNCT
bracis-19040	3	55	)	)	PUNCT
bracis-19040	3	56	included	include	VERB
bracis-19040	3	57	in	in	ADP
bracis-19040	3	58	the	the	DET
bracis-19040	3	59	following	follow	VERB
bracis-19040	3	60	conference	conference	NOUN
bracis-19040	3	61	series	series	NOUN
bracis-19040	3	62	:	:	PUNCT
bracis-19040	3	63	brazilian	brazilian	ADJ
bracis-19040	3	64	conference	conference	NOUN
bracis-19040	3	65	on	on	ADP
bracis-19040	3	66	intelligent	intelligent	ADJ
bracis-19040	3	67	systems	system	NOUN
bracis-19040	3	68	732	732	NUM
bracis-19040	3	69	accesses	access	NOUN
bracis-19040	3	70	abstract	abstract	ADV
bracis-19040	3	71	we	we	PRON
bracis-19040	3	72	introduce	introduce	VERB
bracis-19040	3	73	an	an	DET
bracis-19040	3	74	interrogation	interrogation	NOUN
bracis-19040	3	75	mark	mark	NOUN
bracis-19040	3	76	?	?	PUNCT
bracis-19040	4	1	in	in	ADP
bracis-19040	4	2	\	\	PROPN
bracis-19040	4	3	(	(	PUNCT
bracis-19040	4	4	aspic	aspic	NOUN
bracis-19040	4	5	^+\	^+\	ADJ
bracis-19040	4	6	)	)	PUNCT
bracis-19040	4	7	languages	language	NOUN
bracis-19040	4	8	as	as	ADP
bracis-19040	4	9	a	a	DET
bracis-19040	4	10	plausibility	plausibility	NOUN
bracis-19040	4	11	operator	operator	NOUN
bracis-19040	4	12	to	to	PART
bracis-19040	4	13	enhance	enhance	VERB
bracis-19040	4	14	any	any	DET
bracis-19040	4	15	defeasible	defeasible	ADJ
bracis-19040	4	16	conclusion	conclusion	NOUN
bracis-19040	4	17	does	do	AUX
bracis-19040	4	18	not	not	PART
bracis-19040	4	19	have	have	VERB
bracis-19040	4	20	the	the	DET
bracis-19040	4	21	same	same	ADJ
bracis-19040	4	22	status	status	NOUN
bracis-19040	4	23	as	as	ADP
bracis-19040	4	24	an	an	DET
bracis-19040	4	25	irrefutable	irrefutable	ADJ
bracis-19040	4	26	one	one	NOUN
bracis-19040	4	27	.	.	PUNCT
bracis-19040	5	1	the	the	DET
bracis-19040	5	2	resulting	result	VERB
bracis-19040	5	3	framework	framework	NOUN
bracis-19040	5	4	,	,	PUNCT
bracis-19040	5	5	dubbed	dub	VERB
bracis-19040	5	6	\	\	PROPN
bracis-19040	5	7	(	(	PUNCT
bracis-19040	5	8	aspic	aspic	NOUN
bracis-19040	5	9	^?\	^?\	NUM
bracis-19040	5	10	)	)	PUNCT
bracis-19040	5	11	,	,	PUNCT
bracis-19040	5	12	is	be	AUX
bracis-19040	5	13	tailored	tailor	VERB
bracis-19040	5	14	to	to	PART
bracis-19040	5	15	make	make	VERB
bracis-19040	5	16	a	a	DET
bracis-19040	5	17	distinction	distinction	NOUN
bracis-19040	5	18	between	between	ADP
bracis-19040	5	19	strong	strong	ADJ
bracis-19040	5	20	inconsistencies	inconsistency	NOUN
bracis-19040	5	21	and	and	CCONJ
bracis-19040	5	22	weak	weak	ADJ
bracis-19040	5	23	inconsistencies	inconsistency	NOUN
bracis-19040	5	24	.	.	PUNCT
bracis-19040	6	1	the	the	DET
bracis-19040	6	2	aim	aim	NOUN
bracis-19040	6	3	is	be	AUX
bracis-19040	6	4	to	to	PART
bracis-19040	6	5	avoid	avoid	VERB
bracis-19040	6	6	the	the	DET
bracis-19040	6	7	former	former	ADJ
bracis-19040	6	8	and	and	CCONJ
bracis-19040	6	9	to	to	PART
bracis-19040	6	10	tolerate	tolerate	VERB
bracis-19040	6	11	the	the	DET
bracis-19040	6	12	latter	latter	ADJ
bracis-19040	6	13	.	.	PUNCT
bracis-19040	7	1	this	this	PRON
bracis-19040	7	2	means	mean	VERB
bracis-19040	7	3	the	the	DET
bracis-19040	7	4	extensions	extension	NOUN
bracis-19040	7	5	obtained	obtain	VERB
bracis-19040	7	6	from	from	ADP
bracis-19040	7	7	the	the	DET
bracis-19040	7	8	\	\	NOUN
bracis-19040	7	9	(	(	PUNCT
bracis-19040	7	10	aspic	aspic	NOUN
bracis-19040	7	11	^?\	^?\	NUM
bracis-19040	7	12	)	)	PUNCT
bracis-19040	7	13	framework	framework	NOUN
bracis-19040	7	14	are	be	AUX
bracis-19040	7	15	free	free	ADJ
bracis-19040	7	16	of	of	ADP
bracis-19040	7	17	strong	strong	ADJ
bracis-19040	7	18	conflicts	conflict	NOUN
bracis-19040	7	19	,	,	PUNCT
bracis-19040	7	20	but	but	CCONJ
bracis-19040	7	21	tolerant	tolerant	ADJ
bracis-19040	7	22	to	to	ADP
bracis-19040	7	23	weak	weak	ADJ
bracis-19040	7	24	conflicts	conflict	NOUN
bracis-19040	7	25	.	.	PUNCT
bracis-19040	8	1	then	then	ADV
bracis-19040	8	2	,	,	PUNCT
bracis-19040	8	3	in	in	ADP
bracis-19040	8	4	the	the	DET
bracis-19040	8	5	current	current	ADJ
bracis-19040	8	6	study	study	NOUN
bracis-19040	8	7	,	,	PUNCT
bracis-19040	8	8	we	we	PRON
bracis-19040	8	9	show	show	VERB
bracis-19040	8	10	\	\	PROPN
bracis-19040	8	11	(	(	PUNCT
bracis-19040	8	12	aspic	aspic	NOUN
bracis-19040	8	13	^?\	^?\	NUM
bracis-19040	8	14	)	)	PUNCT
bracis-19040	8	15	satisfy	satisfy	VERB
bracis-19040	8	16	reasonable	reasonable	ADJ
bracis-19040	8	17	properties	property	NOUN
bracis-19040	8	18	.	.	PUNCT
bracis-19040	9	1	in	in	ADP
bracis-19040	9	2	particular	particular	ADJ
bracis-19040	9	3	,	,	PUNCT
bracis-19040	9	4	we	we	PRON
bracis-19040	9	5	focus	focus	VERB
bracis-19040	9	6	on	on	ADP
bracis-19040	9	7	the	the	DET
bracis-19040	9	8	property	property	NOUN
bracis-19040	9	9	that	that	PRON
bracis-19040	9	10	a	a	DET
bracis-19040	9	11	conflict	conflict	NOUN
bracis-19040	9	12	between	between	ADP
bracis-19040	9	13	two	two	NUM
bracis-19040	9	14	arguments	argument	NOUN
bracis-19040	9	15	should	should	AUX
bracis-19040	9	16	not	not	PART
bracis-19040	9	17	interfere	interfere	VERB
bracis-19040	9	18	with	with	ADP
bracis-19040	9	19	the	the	DET
bracis-19040	9	20	acceptability	acceptability	NOUN
bracis-19040	9	21	of	of	ADP
bracis-19040	9	22	other	other	ADJ
bracis-19040	9	23	unrelated	unrelated	ADJ
bracis-19040	9	24	arguments	argument	NOUN
bracis-19040	9	25	.	.	PUNCT
bracis-19040	10	1	with	with	ADP
bracis-19040	10	2	this	this	DET
bracis-19040	10	3	purpose	purpose	NOUN
bracis-19040	10	4	in	in	ADP
bracis-19040	10	5	mind	mind	NOUN
bracis-19040	10	6	,	,	PUNCT
bracis-19040	10	7	we	we	PRON
bracis-19040	10	8	prove	prove	VERB
bracis-19040	10	9	under	under	ADP
bracis-19040	10	10	which	which	DET
bracis-19040	10	11	conditions	condition	NOUN
bracis-19040	10	12	the	the	DET
bracis-19040	10	13	important	important	ADJ
bracis-19040	10	14	principles	principle	NOUN
bracis-19040	10	15	of	of	ADP
bracis-19040	10	16	non	non	ADJ
bracis-19040	10	17	-	-	ADJ
bracis-19040	10	18	interference	interference	NOUN
bracis-19040	10	19	and	and	CCONJ
bracis-19040	10	20	crash	crash	NOUN
bracis-19040	10	21	-	-	PUNCT
bracis-19040	10	22	resistance	resistance	NOUN
bracis-19040	10	23	hold	hold	NOUN
bracis-19040	10	24	in	in	ADP
bracis-19040	10	25	\	\	PROPN
bracis-19040	10	26	(	(	PUNCT
bracis-19040	10	27	aspic	aspic	NOUN
bracis-19040	10	28	^?\	^?\	NUM
bracis-19040	10	29	)	)	PUNCT
bracis-19040	10	30	.	.	PUNCT
bracis-19040	11	1	access	access	NOUN
bracis-19040	11	2	provided	provide	VERB
bracis-19040	11	3	by	by	ADP
bracis-19040	11	4	university	university	PROPN
bracis-19040	11	5	of	of	ADP
bracis-19040	11	6	notre	notre	PROPN
bracis-19040	11	7	dame	dame	PROPN
bracis-19040	11	8	hesburgh	hesburgh	PROPN
bracis-19040	11	9	library	library	PROPN
bracis-19040	11	10	.	.	PUNCT
bracis-19040	12	1	download	download	PROPN
bracis-19040	12	2	conference	conference	NOUN
bracis-19040	12	3	paper	paper	NOUN
bracis-19040	12	4	pdf	pdf	NOUN
bracis-19040	12	5	similar	similar	ADJ
bracis-19040	12	6	content	content	NOUN
bracis-19040	12	7	being	be	AUX
bracis-19040	12	8	viewed	view	VERB
bracis-19040	12	9	by	by	ADP
bracis-19040	12	10	others	other	NOUN
bracis-19040	12	11	a	a	DET
bracis-19040	12	12	paraconsistent	paraconsistent	NOUN
bracis-19040	12	13	approach	approach	NOUN
bracis-19040	12	14	to	to	PART
bracis-19040	12	15	deal	deal	VERB
bracis-19040	12	16	with	with	ADP
bracis-19040	12	17	epistemic	epistemic	ADJ
bracis-19040	12	18	inconsistencies	inconsistency	NOUN
bracis-19040	12	19	in	in	ADP
bracis-19040	12	20	argumentation	argumentation	NOUN
bracis-19040	12	21	chapter	chapter	NOUN
bracis-19040	12	22	©	©	PROPN
bracis-19040	12	23	2021	2021	NUM
bracis-19040	12	24	dealing	deal	VERB
bracis-19040	12	25	with	with	ADP
bracis-19040	12	26	 	 	SPACE
bracis-19040	12	27	inconsistencies	inconsistency	NOUN
bracis-19040	12	28	in	in	ADP
bracis-19040	12	29	  	  	SPACE
bracis-19040	12	30	$	$	SYM
bracis-19040	12	31	$	$	SYM
bracis-19040	12	32	{	{	PUNCT
bracis-19040	12	33	aspic}^+$$	aspic}^+$$	NOUN
bracis-19040	12	34	chapter	chapter	NOUN
bracis-19040	12	35	©	©	NOUN
bracis-19040	12	36	2022	2022	NUM
bracis-19040	12	37	limits	limit	NOUN
bracis-19040	12	38	and	and	CCONJ
bracis-19040	12	39	difficulties	difficulty	NOUN
bracis-19040	12	40	in	in	ADP
bracis-19040	12	41	the	the	DET
bracis-19040	12	42	design	design	NOUN
bracis-19040	12	43	of	of	ADP
bracis-19040	12	44	under	under	NOUN
bracis-19040	12	45	-	-	PUNCT
bracis-19040	12	46	approximation	approximation	NOUN
bracis-19040	12	47	abstract	abstract	ADJ
bracis-19040	12	48	domains	domain	NOUN
bracis-19040	12	49	chapter	chapter	NOUN
bracis-19040	12	50	©	©	PROPN
bracis-19040	12	51	2022	2022	NUM
bracis-19040	12	52	explore	explore	VERB
bracis-19040	12	53	related	relate	VERB
bracis-19040	12	54	subjects	subject	NOUN
bracis-19040	12	55	discover	discover	VERB
bracis-19040	12	56	the	the	DET
bracis-19040	12	57	latest	late	ADJ
bracis-19040	12	58	articles	article	NOUN
bracis-19040	12	59	,	,	PUNCT
bracis-19040	12	60	books	book	NOUN
bracis-19040	12	61	and	and	CCONJ
bracis-19040	12	62	news	news	NOUN
bracis-19040	12	63	in	in	ADP
bracis-19040	12	64	related	related	ADJ
bracis-19040	12	65	subjects	subject	NOUN
bracis-19040	12	66	,	,	PUNCT
bracis-19040	12	67	suggested	suggest	VERB
bracis-19040	12	68	using	use	VERB
bracis-19040	12	69	machine	machine	NOUN
bracis-19040	12	70	learning	learning	NOUN
bracis-19040	12	71	.	.	PUNCT
bracis-19040	13	1	formal	formal	ADJ
bracis-19040	13	2	languages	language	NOUN
bracis-19040	13	3	and	and	CCONJ
bracis-19040	13	4	automata	automata	NOUN
bracis-19040	13	5	theory	theory	NOUN
bracis-19040	13	6	formal	formal	ADJ
bracis-19040	13	7	logic	logic	NOUN
bracis-19040	13	8	general	general	ADJ
bracis-19040	13	9	logic	logic	NOUN
bracis-19040	13	10	lisp	lisp	NOUN
bracis-19040	13	11	logic	logic	NOUN
bracis-19040	13	12	syntax	syntax	NOUN
bracis-19040	13	13	1	1	NUM
bracis-19040	13	14	introduction	introduction	NOUN
bracis-19040	13	15	as	as	SCONJ
bracis-19040	13	16	noticed	notice	VERB
bracis-19040	13	17	in	in	ADP
bracis-19040	13	18	[	[	X
bracis-19040	13	19	1	1	NUM
bracis-19040	13	20	]	]	PUNCT
bracis-19040	13	21	,	,	PUNCT
bracis-19040	13	22	contradictions	contradiction	NOUN
bracis-19040	13	23	can	can	AUX
bracis-19040	13	24	be	be	AUX
bracis-19040	13	25	considered	consider	VERB
bracis-19040	13	26	under	under	ADP
bracis-19040	13	27	the	the	DET
bracis-19040	13	28	mantle	mantle	NOUN
bracis-19040	13	29	of	of	ADP
bracis-19040	13	30	many	many	ADJ
bracis-19040	13	31	points	point	NOUN
bracis-19040	13	32	of	of	ADP
bracis-19040	13	33	views	view	NOUN
bracis-19040	13	34	:	:	PUNCT
bracis-19040	13	35	as	as	ADP
bracis-19040	13	36	a	a	DET
bracis-19040	13	37	consequence	consequence	NOUN
bracis-19040	13	38	of	of	ADP
bracis-19040	13	39	the	the	DET
bracis-19040	13	40	only	only	ADJ
bracis-19040	13	41	correct	correct	ADJ
bracis-19040	13	42	description	description	NOUN
bracis-19040	13	43	of	of	ADP
bracis-19040	13	44	a	a	DET
bracis-19040	13	45	contradictory	contradictory	ADJ
bracis-19040	13	46	world	world	NOUN
bracis-19040	13	47	,	,	PUNCT
bracis-19040	13	48	as	as	ADP
bracis-19040	13	49	a	a	DET
bracis-19040	13	50	temporary	temporary	ADJ
bracis-19040	13	51	state	state	NOUN
bracis-19040	13	52	of	of	ADP
bracis-19040	13	53	our	our	PRON
bracis-19040	13	54	knowledge	knowledge	NOUN
bracis-19040	13	55	,	,	PUNCT
bracis-19040	13	56	as	as	SCONJ
bracis-19040	13	57	the	the	DET
bracis-19040	13	58	outcome	outcome	NOUN
bracis-19040	13	59	of	of	ADP
bracis-19040	13	60	a	a	DET
bracis-19040	13	61	particular	particular	ADJ
bracis-19040	13	62	language	language	NOUN
bracis-19040	13	63	which	which	PRON
bracis-19040	13	64	we	we	PRON
bracis-19040	13	65	have	have	AUX
bracis-19040	13	66	chosen	choose	VERB
bracis-19040	13	67	to	to	PART
bracis-19040	13	68	describe	describe	VERB
bracis-19040	13	69	the	the	DET
bracis-19040	13	70	world	world	NOUN
bracis-19040	13	71	,	,	PUNCT
bracis-19040	13	72	as	as	SCONJ
bracis-19040	13	73	the	the	DET
bracis-19040	13	74	result	result	NOUN
bracis-19040	13	75	of	of	ADP
bracis-19040	13	76	conflicting	conflicting	ADJ
bracis-19040	13	77	observational	observational	ADJ
bracis-19040	13	78	criteria	criterion	NOUN
bracis-19040	13	79	,	,	PUNCT
bracis-19040	13	80	as	as	SCONJ
bracis-19040	13	81	the	the	DET
bracis-19040	13	82	superposition	superposition	NOUN
bracis-19040	13	83	of	of	ADP
bracis-19040	13	84	world	world	NOUN
bracis-19040	13	85	-	-	PUNCT
bracis-19040	13	86	views	view	NOUN
bracis-19040	13	87	,	,	PUNCT
bracis-19040	13	88	or	or	CCONJ
bracis-19040	13	89	as	as	SCONJ
bracis-19040	13	90	the	the	DET
bracis-19040	13	91	result	result	NOUN
bracis-19040	13	92	from	from	ADP
bracis-19040	13	93	the	the	DET
bracis-19040	13	94	best	good	ADJ
bracis-19040	13	95	theories	theory	NOUN
bracis-19040	13	96	available	available	ADJ
bracis-19040	13	97	at	at	ADP
bracis-19040	13	98	a	a	DET
bracis-19040	13	99	given	give	VERB
bracis-19040	13	100	moment	moment	NOUN
bracis-19040	13	101	.	.	PUNCT
bracis-19040	14	1	indeed	indeed	ADV
bracis-19040	14	2	,	,	PUNCT
bracis-19040	14	3	in	in	ADP
bracis-19040	14	4	[	[	PUNCT
bracis-19040	14	5	2	2	NUM
bracis-19040	14	6	]	]	PUNCT
bracis-19040	14	7	,	,	PUNCT
bracis-19040	14	8	it	it	PRON
bracis-19040	14	9	is	be	AUX
bracis-19040	14	10	argued	argue	VERB
bracis-19040	14	11	that	that	SCONJ
bracis-19040	14	12	inconsistency	inconsistency	NOUN
bracis-19040	14	13	is	be	AUX
bracis-19040	14	14	a	a	DET
bracis-19040	14	15	natural	natural	ADJ
bracis-19040	14	16	companion	companion	NOUN
bracis-19040	14	17	to	to	ADP
bracis-19040	14	18	defeasible	defeasible	ADJ
bracis-19040	14	19	methods	method	NOUN
bracis-19040	14	20	of	of	ADP
bracis-19040	14	21	reasoning	reasoning	NOUN
bracis-19040	14	22	and	and	CCONJ
bracis-19040	14	23	that	that	DET
bracis-19040	14	24	paraconsistency	paraconsistency	NOUN
bracis-19040	14	25	(	(	PUNCT
bracis-19040	14	26	the	the	DET
bracis-19040	14	27	property	property	NOUN
bracis-19040	14	28	of	of	ADP
bracis-19040	14	29	a	a	DET
bracis-19040	14	30	logic	logic	NOUN
bracis-19040	14	31	admitting	admit	VERB
bracis-19040	14	32	non	non	ADJ
bracis-19040	14	33	-	-	ADJ
bracis-19040	14	34	trivial	trivial	ADJ
bracis-19040	14	35	inconsistent	inconsistent	ADJ
bracis-19040	14	36	theories	theory	NOUN
bracis-19040	14	37	)	)	PUNCT
bracis-19040	14	38	should	should	AUX
bracis-19040	14	39	play	play	VERB
bracis-19040	14	40	a	a	DET
bracis-19040	14	41	role	role	NOUN
bracis-19040	14	42	in	in	ADP
bracis-19040	14	43	the	the	DET
bracis-19040	14	44	formalisation	formalisation	NOUN
bracis-19040	14	45	of	of	ADP
bracis-19040	14	46	these	these	DET
bracis-19040	14	47	methods	method	NOUN
bracis-19040	14	48	.	.	PUNCT
bracis-19040	15	1	in	in	ADP
bracis-19040	15	2	fact	fact	NOUN
bracis-19040	15	3	,	,	PUNCT
bracis-19040	15	4	they	they	PRON
bracis-19040	15	5	introduced	introduce	VERB
bracis-19040	15	6	an	an	DET
bracis-19040	15	7	interrogation	interrogation	NOUN
bracis-19040	15	8	mark	mark	NOUN
bracis-19040	15	9	?	?	PUNCT
bracis-19040	16	1	as	as	SCONJ
bracis-19040	16	2	a	a	DET
bracis-19040	16	3	plausibility	plausibility	NOUN
bracis-19040	16	4	operator	operator	NOUN
bracis-19040	16	5	to	to	PART
bracis-19040	16	6	enhance	enhance	VERB
bracis-19040	16	7	any	any	DET
bracis-19040	16	8	defeasible	defeasible	ADJ
bracis-19040	16	9	conclusion	conclusion	NOUN
bracis-19040	16	10	do	do	AUX
bracis-19040	16	11	not	not	PART
bracis-19040	16	12	have	have	VERB
bracis-19040	16	13	the	the	DET
bracis-19040	16	14	same	same	ADJ
bracis-19040	16	15	status	status	NOUN
bracis-19040	16	16	as	as	ADP
bracis-19040	16	17	an	an	DET
bracis-19040	16	18	irrefutable	irrefutable	ADJ
bracis-19040	16	19	one	one	NOUN
bracis-19040	16	20	,	,	PUNCT
bracis-19040	16	21	obtained	obtain	VERB
bracis-19040	16	22	from	from	ADP
bracis-19040	16	23	deduction	deduction	NOUN
bracis-19040	16	24	.	.	PUNCT
bracis-19040	17	1	inspired	inspire	VERB
bracis-19040	17	2	by	by	ADP
bracis-19040	17	3	these	these	DET
bracis-19040	17	4	ideas	idea	NOUN
bracis-19040	17	5	,	,	PUNCT
bracis-19040	17	6	we	we	PRON
bracis-19040	17	7	will	will	AUX
bracis-19040	17	8	present	present	VERB
bracis-19040	17	9	the	the	DET
bracis-19040	17	10	\	\	NOUN
bracis-19040	17	11	(	(	PUNCT
bracis-19040	17	12	aspic	aspic	NOUN
bracis-19040	17	13	^?\	^?\	NUM
bracis-19040	17	14	)	)	PUNCT
bracis-19040	17	15	framework	framework	NOUN
bracis-19040	17	16	by	by	ADP
bracis-19040	17	17	extending	extend	VERB
bracis-19040	17	18	the	the	DET
bracis-19040	17	19	\	\	NOUN
bracis-19040	17	20	(	(	PUNCT
bracis-19040	17	21	aspic	aspic	NOUN
bracis-19040	17	22	^+\	^+\	ADJ
bracis-19040	17	23	)	)	PUNCT
bracis-19040	17	24	framework	framework	NOUN
bracis-19040	17	25	[	[	X
bracis-19040	17	26	3	3	NUM
bracis-19040	17	27	]	]	PUNCT
bracis-19040	17	28	,	,	PUNCT
bracis-19040	17	29	one	one	NUM
bracis-19040	17	30	of	of	ADP
bracis-19040	17	31	the	the	DET
bracis-19040	17	32	most	most	ADV
bracis-19040	17	33	important	important	ADJ
bracis-19040	17	34	formalisms	formalism	NOUN
bracis-19040	17	35	to	to	PART
bracis-19040	17	36	represent	represent	VERB
bracis-19040	17	37	and	and	CCONJ
bracis-19040	17	38	reason	reason	NOUN
bracis-19040	17	39	with	with	ADP
bracis-19040	17	40	structured	structured	ADJ
bracis-19040	17	41	argumentation	argumentation	NOUN
bracis-19040	17	42	.	.	PUNCT
bracis-19040	18	1	in	in	ADP
bracis-19040	18	2	\	\	PROPN
bracis-19040	18	3	(	(	PUNCT
bracis-19040	18	4	aspic	aspic	NOUN
bracis-19040	18	5	^?\	^?\	NUM
bracis-19040	18	6	)	)	PUNCT
bracis-19040	18	7	(	(	PUNCT
bracis-19040	18	8	as	as	ADV
bracis-19040	18	9	well	well	ADV
bracis-19040	18	10	as	as	ADP
bracis-19040	18	11	in	in	ADP
bracis-19040	18	12	\	\	PROPN
bracis-19040	18	13	(	(	PUNCT
bracis-19040	18	14	aspic	aspic	NOUN
bracis-19040	18	15	^+\	^+\	ADJ
bracis-19040	18	16	)	)	PUNCT
bracis-19040	18	17	)	)	PUNCT
bracis-19040	18	18	,	,	PUNCT
bracis-19040	18	19	we	we	PRON
bracis-19040	18	20	identify	identify	VERB
bracis-19040	18	21	two	two	NUM
bracis-19040	18	22	types	type	NOUN
bracis-19040	18	23	of	of	ADP
bracis-19040	18	24	rules	rule	NOUN
bracis-19040	18	25	:	:	PUNCT
bracis-19040	18	26	strict	strict	ADJ
bracis-19040	18	27	(	(	PUNCT
bracis-19040	18	28	irrefutable	irrefutable	ADJ
bracis-19040	18	29	)	)	PUNCT
bracis-19040	18	30	and	and	CCONJ
bracis-19040	18	31	defeasable	defeasable	ADJ
bracis-19040	18	32	.	.	PUNCT
bracis-19040	19	1	unlike	unlike	ADP
bracis-19040	19	2	\	\	PROPN
bracis-19040	19	3	(	(	PUNCT
bracis-19040	19	4	aspic	aspic	NOUN
bracis-19040	19	5	^+\	^+\	ADJ
bracis-19040	19	6	)	)	PUNCT
bracis-19040	19	7	,	,	PUNCT
bracis-19040	19	8	the	the	DET
bracis-19040	19	9	distinguishing	distinguish	VERB
bracis-19040	19	10	characteristic	characteristic	NOUN
bracis-19040	19	11	of	of	ADP
bracis-19040	19	12	\	\	NOUN
bracis-19040	19	13	(	(	PUNCT
bracis-19040	19	14	aspic	aspic	NOUN
bracis-19040	19	15	^?\	^?\	NUM
bracis-19040	19	16	)	)	PUNCT
bracis-19040	19	17	is	be	AUX
bracis-19040	19	18	the	the	DET
bracis-19040	19	19	conclusion	conclusion	NOUN
bracis-19040	19	20	of	of	ADP
bracis-19040	19	21	any	any	DET
bracis-19040	19	22	defeasible	defeasible	ADJ
bracis-19040	19	23	rule	rule	NOUN
bracis-19040	19	24	will	will	AUX
bracis-19040	19	25	be	be	AUX
bracis-19040	19	26	a	a	DET
bracis-19040	19	27	plausible	plausible	ADJ
bracis-19040	19	28	(	(	PUNCT
bracis-19040	19	29	?	?	PUNCT
bracis-19040	19	30	-suffixed	-suffixed	ADJ
bracis-19040	19	31	)	)	PUNCT
bracis-19040	19	32	formula	formula	NOUN
bracis-19040	19	33	\(\phi	\(\phi	NOUN
bracis-19040	19	34	?	?	PUNCT
bracis-19040	19	35	\	\	NOUN
bracis-19040	19	36	)	)	PUNCT
bracis-19040	19	37	.	.	PUNCT
bracis-19040	20	1	the	the	DET
bracis-19040	20	2	intended	intend	VERB
bracis-19040	20	3	meaning	meaning	NOUN
bracis-19040	20	4	is	be	AUX
bracis-19040	20	5	the	the	DET
bracis-19040	20	6	conclusion	conclusion	NOUN
bracis-19040	20	7	of	of	ADP
bracis-19040	20	8	\(\phi	\(\phi	NOUN
bracis-19040	20	9	?	?	PUNCT
bracis-19040	21	1	\	\	NOUN
bracis-19040	21	2	)	)	PUNCT
bracis-19040	21	3	will	will	AUX
bracis-19040	21	4	not	not	PART
bracis-19040	21	5	necessarily	necessarily	ADV
bracis-19040	21	6	prevent	prevent	VERB
bracis-19040	21	7	the	the	DET
bracis-19040	21	8	conclusion	conclusion	NOUN
bracis-19040	21	9	of	of	ADP
bracis-19040	21	10	\(\lnot	\(\lnot	ADV
bracis-19040	21	11	\phi	\phi	PROPN
bracis-19040	21	12	?	?	PUNCT
bracis-19040	21	13	\	\	NOUN
bracis-19040	21	14	)	)	PUNCT
bracis-19040	21	15	;	;	PUNCT
bracis-19040	21	16	it	it	PRON
bracis-19040	21	17	is	be	AUX
bracis-19040	21	18	required	require	VERB
bracis-19040	21	19	an	an	DET
bracis-19040	21	20	argument	argument	NOUN
bracis-19040	21	21	with	with	ADP
bracis-19040	21	22	conclusion	conclusion	NOUN
bracis-19040	21	23	\(\lnot	\(\lnot	ADV
bracis-19040	21	24	\phi	\phi	PROPN
bracis-19040	21	25	\	\	NOUN
bracis-19040	21	26	)	)	PUNCT
bracis-19040	21	27	,	,	PUNCT
bracis-19040	21	28	which	which	PRON
bracis-19040	21	29	can	can	AUX
bracis-19040	21	30	only	only	ADV
bracis-19040	21	31	be	be	AUX
bracis-19040	21	32	obtained	obtain	VERB
bracis-19040	21	33	from	from	ADP
bracis-19040	21	34	a	a	DET
bracis-19040	21	35	strict	strict	ADJ
bracis-19040	21	36	rule	rule	NOUN
bracis-19040	21	37	,	,	PUNCT
bracis-19040	21	38	to	to	PART
bracis-19040	21	39	attack	attack	VERB
bracis-19040	21	40	the	the	DET
bracis-19040	21	41	conclusion	conclusion	NOUN
bracis-19040	21	42	\(\lnot	\(\lnot	ADV
bracis-19040	21	43	\phi	\phi	PROPN
bracis-19040	21	44	?	?	PUNCT
bracis-19040	21	45	\	\	NOUN
bracis-19040	21	46	)	)	PUNCT
bracis-19040	21	47	of	of	ADP
bracis-19040	21	48	an	an	DET
bracis-19040	21	49	argument	argument	NOUN
bracis-19040	21	50	.	.	PUNCT
bracis-19040	22	1	thus	thus	ADV
bracis-19040	22	2	,	,	PUNCT
bracis-19040	22	3	to	to	PART
bracis-19040	22	4	produce	produce	VERB
bracis-19040	22	5	a	a	DET
bracis-19040	22	6	strong	strong	ADJ
bracis-19040	22	7	conflict	conflict	NOUN
bracis-19040	22	8	between	between	ADP
bracis-19040	22	9	the	the	DET
bracis-19040	22	10	conclusions	conclusion	NOUN
bracis-19040	22	11	of	of	ADP
bracis-19040	22	12	the	the	DET
bracis-19040	22	13	arguments	argument	NOUN
bracis-19040	22	14	,	,	PUNCT
bracis-19040	22	15	at	at	ADP
bracis-19040	22	16	least	least	ADJ
bracis-19040	22	17	in	in	ADP
bracis-19040	22	18	one	one	NUM
bracis-19040	22	19	of	of	ADP
bracis-19040	22	20	them	they	PRON
bracis-19040	22	21	,	,	PUNCT
bracis-19040	22	22	the	the	DET
bracis-19040	22	23	conclusion	conclusion	NOUN
bracis-19040	22	24	should	should	AUX
bracis-19040	22	25	be	be	AUX
bracis-19040	22	26	a	a	DET
bracis-19040	22	27	?	?	PUNCT
bracis-19040	22	28	-free	-free	ADJ
bracis-19040	22	29	formula	formula	NOUN
bracis-19040	22	30	obtained	obtain	VERB
bracis-19040	22	31	via	via	ADP
bracis-19040	22	32	a	a	DET
bracis-19040	22	33	strict	strict	ADJ
bracis-19040	22	34	rule	rule	NOUN
bracis-19040	22	35	.	.	PUNCT
bracis-19040	23	1	in	in	ADP
bracis-19040	23	2	\	\	PROPN
bracis-19040	23	3	(	(	PUNCT
bracis-19040	23	4	aspic	aspic	NOUN
bracis-19040	23	5	^?\	^?\	NUM
bracis-19040	23	6	)	)	PUNCT
bracis-19040	23	7	,	,	PUNCT
bracis-19040	23	8	strong	strong	ADJ
bracis-19040	23	9	inconsistencies	inconsistency	NOUN
bracis-19040	23	10	as	as	ADP
bracis-19040	23	11	in	in	ADP
bracis-19040	23	12	\(\left\	\(\left\	PROPN
bracis-19040	23	13	{	{	PUNCT
bracis-19040	23	14	\phi	\phi	PROPN
bracis-19040	23	15	,	,	PUNCT
bracis-19040	23	16	\lnot	\lnot	PROPN
bracis-19040	23	17	\phi	\phi	PRON
bracis-19040	23	18	\right\	\right\	ADJ
bracis-19040	23	19	}	}	PUNCT
bracis-19040	23	20	\	\	NOUN
bracis-19040	23	21	)	)	PUNCT
bracis-19040	23	22	(	(	PUNCT
bracis-19040	23	23	or	or	CCONJ
bracis-19040	23	24	\(\left\	\(\left\	PROPN
bracis-19040	23	25	{	{	PUNCT
bracis-19040	23	26	\phi	\phi	PROPN
bracis-19040	23	27	?	?	PUNCT
bracis-19040	23	28	,	,	PUNCT
bracis-19040	23	29	\lnot	\lnot	PROPN
bracis-19040	23	30	\phi	\phi	PROPN
bracis-19040	23	31	\right\	\right\	ADJ
bracis-19040	23	32	}	}	PUNCT
bracis-19040	23	33	\	\	NOUN
bracis-19040	23	34	)	)	PUNCT
bracis-19040	23	35	)	)	PUNCT
bracis-19040	23	36	are	be	AUX
bracis-19040	23	37	distinguished	distinguish	VERB
bracis-19040	23	38	from	from	ADP
bracis-19040	23	39	those	those	DET
bracis-19040	23	40	weak	weak	ADJ
bracis-19040	23	41	inconsistencies	inconsistency	NOUN
bracis-19040	23	42	as	as	ADP
bracis-19040	23	43	in	in	ADP
bracis-19040	23	44	\(\left\	\(\left\	PROPN
bracis-19040	23	45	{	{	PUNCT
bracis-19040	23	46	\phi	\phi	PROPN
bracis-19040	23	47	?	?	PUNCT
bracis-19040	23	48	,	,	PUNCT
bracis-19040	23	49	\lnot	\lnot	PROPN
bracis-19040	23	50	\phi	\phi	PROPN
bracis-19040	23	51	?	?	SYM
bracis-19040	23	52	\right\	\right\	ADJ
bracis-19040	23	53	}	}	PUNCT
bracis-19040	23	54	\	\	NOUN
bracis-19040	23	55	):	):	PUNCT
bracis-19040	23	56	the	the	DET
bracis-19040	23	57	first	first	ADJ
bracis-19040	23	58	should	should	AUX
bracis-19040	23	59	be	be	AUX
bracis-19040	23	60	avoided	avoid	VERB
bracis-19040	23	61	;	;	PUNCT
bracis-19040	23	62	the	the	DET
bracis-19040	23	63	second	second	NOUN
bracis-19040	23	64	can	can	AUX
bracis-19040	23	65	be	be	AUX
bracis-19040	23	66	tolerated	tolerate	VERB
bracis-19040	23	67	.	.	PUNCT
bracis-19040	24	1	this	this	PRON
bracis-19040	24	2	means	mean	VERB
bracis-19040	24	3	the	the	DET
bracis-19040	24	4	(	(	PUNCT
bracis-19040	24	5	weak	weak	ADJ
bracis-19040	24	6	)	)	PUNCT
bracis-19040	24	7	conflict	conflict	NOUN
bracis-19040	24	8	between	between	ADP
bracis-19040	24	9	\(\phi	\(\phi	NOUN
bracis-19040	24	10	?	?	PUNCT
bracis-19040	24	11	\	\	NOUN
bracis-19040	24	12	)	)	PUNCT
bracis-19040	24	13	and	and	CCONJ
bracis-19040	24	14	\(\lnot	\(\lnot	ADV
bracis-19040	24	15	\phi	\phi	PROPN
bracis-19040	24	16	?	?	PUNCT
bracis-19040	24	17	\	\	NOUN
bracis-19040	24	18	)	)	PUNCT
bracis-19040	24	19	can	can	AUX
bracis-19040	24	20	be	be	AUX
bracis-19040	24	21	accommodated	accommodate	VERB
bracis-19040	24	22	in	in	ADP
bracis-19040	24	23	the	the	DET
bracis-19040	24	24	same	same	ADJ
bracis-19040	24	25	extension	extension	NOUN
bracis-19040	24	26	.	.	PUNCT
bracis-19040	25	1	hence	hence	ADV
bracis-19040	25	2	,	,	PUNCT
bracis-19040	25	3	the	the	DET
bracis-19040	25	4	extensions	extension	NOUN
bracis-19040	25	5	in	in	ADP
bracis-19040	25	6	\	\	PROPN
bracis-19040	25	7	(	(	PUNCT
bracis-19040	25	8	aspic	aspic	NOUN
bracis-19040	25	9	^?\	^?\	NUM
bracis-19040	25	10	)	)	PUNCT
bracis-19040	25	11	will	will	AUX
bracis-19040	25	12	be	be	AUX
bracis-19040	25	13	free	free	ADJ
bracis-19040	25	14	of	of	ADP
bracis-19040	25	15	strong	strong	ADJ
bracis-19040	25	16	conflicts	conflict	NOUN
bracis-19040	25	17	,	,	PUNCT
bracis-19040	25	18	but	but	CCONJ
bracis-19040	25	19	tolerant	tolerant	ADJ
bracis-19040	25	20	to	to	ADP
bracis-19040	25	21	weak	weak	ADJ
bracis-19040	25	22	conflicts	conflict	NOUN
bracis-19040	25	23	.	.	PUNCT
bracis-19040	26	1	given	give	VERB
bracis-19040	26	2	that	that	DET
bracis-19040	26	3	much	much	ADJ
bracis-19040	26	4	current	current	ADJ
bracis-19040	26	5	work	work	NOUN
bracis-19040	26	6	on	on	ADP
bracis-19040	26	7	structured	structured	ADJ
bracis-19040	26	8	argumentation	argumentation	NOUN
bracis-19040	26	9	[	[	X
bracis-19040	26	10	3,4,5	3,4,5	NOUN
bracis-19040	26	11	]	]	PUNCT
bracis-19040	26	12	combines	combine	VERB
bracis-19040	26	13	strict	strict	ADJ
bracis-19040	26	14	and	and	CCONJ
bracis-19040	26	15	defeasible	defeasible	ADJ
bracis-19040	26	16	inference	inference	NOUN
bracis-19040	26	17	rules	rule	NOUN
bracis-19040	26	18	,	,	PUNCT
bracis-19040	26	19	unexpected	unexpected	ADJ
bracis-19040	26	20	results	result	NOUN
bracis-19040	26	21	can	can	AUX
bracis-19040	26	22	arise	arise	VERB
bracis-19040	26	23	when	when	SCONJ
bracis-19040	26	24	two	two	NUM
bracis-19040	26	25	arguments	argument	NOUN
bracis-19040	26	26	based	base	VERB
bracis-19040	26	27	on	on	ADP
bracis-19040	26	28	defeasible	defeasible	ADJ
bracis-19040	26	29	rules	rule	NOUN
bracis-19040	26	30	have	have	VERB
bracis-19040	26	31	contradictory	contradictory	ADJ
bracis-19040	26	32	conclusions	conclusion	NOUN
bracis-19040	26	33	.	.	PUNCT
bracis-19040	27	1	this	this	PRON
bracis-19040	27	2	is	be	AUX
bracis-19040	27	3	particularly	particularly	ADV
bracis-19040	27	4	critical	critical	ADJ
bracis-19040	27	5	(	(	PUNCT
bracis-19040	27	6	see	see	VERB
bracis-19040	27	7	[	[	X
bracis-19040	27	8	6	6	NUM
bracis-19040	27	9	]	]	SYM
bracis-19040	27	10	)	)	PUNCT
bracis-19040	27	11	if	if	SCONJ
bracis-19040	27	12	the	the	DET
bracis-19040	27	13	strict	strict	ADJ
bracis-19040	27	14	inference	inference	NOUN
bracis-19040	27	15	rules	rule	NOUN
bracis-19040	27	16	include	include	VERB
bracis-19040	27	17	the	the	DET
bracis-19040	27	18	ex	ex	X
bracis-19040	27	19	falso	falso	PROPN
bracis-19040	27	20	principle	principle	NOUN
bracis-19040	27	21	(	(	PUNCT
bracis-19040	27	22	that	that	SCONJ
bracis-19040	27	23	an	an	DET
bracis-19040	27	24	inconsistent	inconsistent	ADJ
bracis-19040	27	25	set	set	NOUN
bracis-19040	27	26	implies	imply	VERB
bracis-19040	27	27	anything	anything	PRON
bracis-19040	27	28	)	)	PUNCT
bracis-19040	27	29	,	,	PUNCT
bracis-19040	27	30	because	because	SCONJ
bracis-19040	27	31	for	for	ADP
bracis-19040	27	32	any	any	DET
bracis-19040	27	33	formula	formula	NOUN
bracis-19040	27	34	\(\phi	\(\phi	NOUN
bracis-19040	27	35	\	\	NOUN
bracis-19040	27	36	)	)	PUNCT
bracis-19040	27	37	,	,	PUNCT
bracis-19040	27	38	an	an	DET
bracis-19040	27	39	argument	argument	NOUN
bracis-19040	27	40	concluding	conclude	VERB
bracis-19040	27	41	\(\lnot	\(\lnot	ADV
bracis-19040	27	42	\phi	\phi	PROPN
bracis-19040	27	43	\	\	NOUN
bracis-19040	27	44	)	)	PUNCT
bracis-19040	27	45	can	can	AUX
bracis-19040	27	46	be	be	AUX
bracis-19040	27	47	constructed	construct	VERB
bracis-19040	27	48	from	from	ADP
bracis-19040	27	49	these	these	DET
bracis-19040	27	50	two	two	NUM
bracis-19040	27	51	arguments	argument	NOUN
bracis-19040	27	52	.	.	PUNCT
bracis-19040	28	1	as	as	ADP
bracis-19040	28	2	consequence	consequence	NOUN
bracis-19040	28	3	,	,	PUNCT
bracis-19040	28	4	any	any	DET
bracis-19040	28	5	other	other	ADJ
bracis-19040	28	6	argument	argument	NOUN
bracis-19040	28	7	is	be	AUX
bracis-19040	28	8	potentially	potentially	ADV
bracis-19040	28	9	under	under	ADP
bracis-19040	28	10	threat	threat	NOUN
bracis-19040	28	11	!	!	PUNCT
bracis-19040	29	1	in	in	ADP
bracis-19040	29	2	order	order	NOUN
bracis-19040	29	3	to	to	PART
bracis-19040	29	4	solve	solve	VERB
bracis-19040	29	5	this	this	DET
bracis-19040	29	6	problem	problem	NOUN
bracis-19040	29	7	for	for	ADP
bracis-19040	29	8	\	\	PROPN
bracis-19040	29	9	(	(	PUNCT
bracis-19040	29	10	aspic	aspic	NOUN
bracis-19040	29	11	^+\	^+\	ADJ
bracis-19040	29	12	)	)	PUNCT
bracis-19040	29	13	,	,	PUNCT
bracis-19040	29	14	wu	wu	PROPN
bracis-19040	30	1	[	[	X
bracis-19040	30	2	7	7	NUM
bracis-19040	30	3	,	,	PUNCT
bracis-19040	30	4	8	8	NUM
bracis-19040	30	5	]	]	PUNCT
bracis-19040	30	6	requires	require	VERB
bracis-19040	30	7	that	that	SCONJ
bracis-19040	30	8	in	in	ADP
bracis-19040	30	9	each	each	DET
bracis-19040	30	10	argument	argument	NOUN
bracis-19040	30	11	,	,	PUNCT
bracis-19040	30	12	the	the	DET
bracis-19040	30	13	set	set	NOUN
bracis-19040	30	14	of	of	ADP
bracis-19040	30	15	conclusions	conclusion	NOUN
bracis-19040	30	16	of	of	ADP
bracis-19040	30	17	all	all	DET
bracis-19040	30	18	its	its	PRON
bracis-19040	30	19	sub	sub	NOUN
bracis-19040	30	20	-	-	NOUN
bracis-19040	30	21	arguments	argument	NOUN
bracis-19040	30	22	are	be	AUX
bracis-19040	30	23	classically	classically	ADV
bracis-19040	30	24	consistent	consistent	ADJ
bracis-19040	30	25	.	.	PUNCT
bracis-19040	31	1	another	another	DET
bracis-19040	31	2	approach	approach	NOUN
bracis-19040	31	3	was	be	AUX
bracis-19040	31	4	taken	take	VERB
bracis-19040	31	5	in	in	ADP
bracis-19040	31	6	[	[	X
bracis-19040	31	7	6	6	NUM
bracis-19040	31	8	]	]	PUNCT
bracis-19040	31	9	,	,	PUNCT
bracis-19040	31	10	in	in	ADP
bracis-19040	31	11	which	which	PRON
bracis-19040	31	12	they	they	PRON
bracis-19040	31	13	replace	replace	VERB
bracis-19040	31	14	classical	classical	ADJ
bracis-19040	31	15	logic	logic	NOUN
bracis-19040	31	16	as	as	ADP
bracis-19040	31	17	the	the	DET
bracis-19040	31	18	source	source	NOUN
bracis-19040	31	19	for	for	ADP
bracis-19040	31	20	strict	strict	ADJ
bracis-19040	31	21	rules	rule	NOUN
bracis-19040	31	22	by	by	ADP
bracis-19040	31	23	the	the	DET
bracis-19040	31	24	(	(	PUNCT
bracis-19040	31	25	weaker	weak	ADJ
bracis-19040	31	26	)	)	PUNCT
bracis-19040	31	27	paraconsistent	paraconsistent	NOUN
bracis-19040	31	28	logic	logic	NOUN
bracis-19040	31	29	presented	present	VERB
bracis-19040	31	30	in	in	ADP
bracis-19040	31	31	[	[	X
bracis-19040	31	32	9	9	NUM
bracis-19040	31	33	]	]	PUNCT
bracis-19040	31	34	to	to	PART
bracis-19040	31	35	invalidate	invalidate	VERB
bracis-19040	31	36	the	the	DET
bracis-19040	31	37	ex	ex	X
bracis-19040	31	38	falso	falso	NOUN
bracis-19040	31	39	principle	principle	NOUN
bracis-19040	31	40	as	as	ADP
bracis-19040	31	41	a	a	DET
bracis-19040	31	42	valid	valid	ADJ
bracis-19040	31	43	strict	strict	ADJ
bracis-19040	31	44	inference	inference	NOUN
bracis-19040	31	45	rule	rule	NOUN
bracis-19040	31	46	.	.	PUNCT
bracis-19040	32	1	here	here	ADV
bracis-19040	32	2	we	we	PRON
bracis-19040	32	3	will	will	AUX
bracis-19040	32	4	also	also	ADV
bracis-19040	32	5	exploit	exploit	VERB
bracis-19040	32	6	how	how	SCONJ
bracis-19040	32	7	to	to	PART
bracis-19040	32	8	avoid	avoid	VERB
bracis-19040	32	9	the	the	DET
bracis-19040	32	10	application	application	NOUN
bracis-19040	32	11	of	of	ADP
bracis-19040	32	12	the	the	DET
bracis-19040	32	13	ex	ex	X
bracis-19040	32	14	falso	falso	PROPN
bracis-19040	32	15	principle	principle	NOUN
bracis-19040	32	16	in	in	ADP
bracis-19040	32	17	\	\	PROPN
bracis-19040	32	18	(	(	PUNCT
bracis-19040	32	19	aspic	aspic	NOUN
bracis-19040	32	20	^?\	^?\	NUM
bracis-19040	32	21	)	)	PUNCT
bracis-19040	32	22	by	by	ADP
bracis-19040	32	23	combining	combine	VERB
bracis-19040	32	24	these	these	DET
bracis-19040	32	25	two	two	NUM
bracis-19040	32	26	solutions	solution	NOUN
bracis-19040	32	27	:	:	PUNCT
bracis-19040	32	28	1	1	X
bracis-19040	32	29	)	)	PUNCT
bracis-19040	32	30	as	as	ADP
bracis-19040	32	31	in	in	ADP
bracis-19040	32	32	[	[	X
bracis-19040	32	33	6	6	NUM
bracis-19040	32	34	]	]	PUNCT
bracis-19040	32	35	,	,	PUNCT
bracis-19040	32	36	we	we	PRON
bracis-19040	32	37	resort	resort	VERB
bracis-19040	32	38	to	to	ADP
bracis-19040	32	39	paraconsistent	paraconsistent	NOUN
bracis-19040	32	40	reasoning	reasoning	NOUN
bracis-19040	32	41	to	to	PART
bracis-19040	32	42	tolerate	tolerate	VERB
bracis-19040	32	43	conflicts	conflict	NOUN
bracis-19040	32	44	;	;	PUNCT
bracis-19040	32	45	our	our	PRON
bracis-19040	32	46	differential	differential	NOUN
bracis-19040	32	47	is	be	AUX
bracis-19040	32	48	we	we	PRON
bracis-19040	32	49	tolerate	tolerate	VERB
bracis-19040	32	50	only	only	ADV
bracis-19040	32	51	weak	weak	ADJ
bracis-19040	32	52	conflicts	conflict	NOUN
bracis-19040	32	53	.	.	PUNCT
bracis-19040	33	1	2	2	X
bracis-19040	33	2	)	)	PUNCT
bracis-19040	33	3	as	as	ADP
bracis-19040	33	4	in	in	ADP
bracis-19040	33	5	[	[	X
bracis-19040	33	6	7	7	NUM
bracis-19040	33	7	,	,	PUNCT
bracis-19040	33	8	8	8	NUM
bracis-19040	33	9	]	]	PUNCT
bracis-19040	33	10	,	,	PUNCT
bracis-19040	33	11	we	we	PRON
bracis-19040	33	12	require	require	VERB
bracis-19040	33	13	for	for	ADP
bracis-19040	33	14	each	each	DET
bracis-19040	33	15	argument	argument	NOUN
bracis-19040	33	16	,	,	PUNCT
bracis-19040	33	17	the	the	DET
bracis-19040	33	18	set	set	NOUN
bracis-19040	33	19	of	of	ADP
bracis-19040	33	20	conclusions	conclusion	NOUN
bracis-19040	33	21	of	of	ADP
bracis-19040	33	22	all	all	DET
bracis-19040	33	23	its	its	PRON
bracis-19040	33	24	sub	sub	NOUN
bracis-19040	33	25	-	-	NOUN
bracis-19040	33	26	arguments	argument	NOUN
bracis-19040	33	27	are	be	AUX
bracis-19040	33	28	consistent	consistent	ADJ
bracis-19040	33	29	;	;	PUNCT
bracis-19040	33	30	our	our	PRON
bracis-19040	33	31	differential	differential	NOUN
bracis-19040	33	32	is	be	AUX
bracis-19040	33	33	that	that	SCONJ
bracis-19040	33	34	we	we	PRON
bracis-19040	33	35	eliminate	eliminate	VERB
bracis-19040	33	36	only	only	ADV
bracis-19040	33	37	those	those	DET
bracis-19040	33	38	arguments	argument	NOUN
bracis-19040	33	39	whose	whose	DET
bracis-19040	33	40	sets	set	NOUN
bracis-19040	33	41	of	of	ADP
bracis-19040	33	42	conclusions	conclusion	NOUN
bracis-19040	33	43	lead	lead	VERB
bracis-19040	33	44	to	to	ADP
bracis-19040	33	45	a	a	DET
bracis-19040	33	46	strong	strong	ADJ
bracis-19040	33	47	conflict	conflict	NOUN
bracis-19040	33	48	.	.	PUNCT
bracis-19040	34	1	then	then	ADV
bracis-19040	34	2	,	,	PUNCT
bracis-19040	34	3	we	we	PRON
bracis-19040	34	4	show	show	VERB
bracis-19040	34	5	\	\	PROPN
bracis-19040	34	6	(	(	PUNCT
bracis-19040	34	7	aspic	aspic	NOUN
bracis-19040	34	8	^?\	^?\	NUM
bracis-19040	34	9	)	)	PUNCT
bracis-19040	34	10	satisfies	satisfy	VERB
bracis-19040	34	11	reasonable	reasonable	ADJ
bracis-19040	34	12	properties	property	NOUN
bracis-19040	34	13	.	.	PUNCT
bracis-19040	35	1	in	in	ADP
bracis-19040	35	2	particular	particular	ADJ
bracis-19040	35	3	,	,	PUNCT
bracis-19040	35	4	we	we	PRON
bracis-19040	35	5	focus	focus	VERB
bracis-19040	35	6	on	on	ADP
bracis-19040	35	7	the	the	DET
bracis-19040	35	8	property	property	NOUN
bracis-19040	35	9	that	that	PRON
bracis-19040	35	10	a	a	DET
bracis-19040	35	11	conflict	conflict	NOUN
bracis-19040	35	12	between	between	ADP
bracis-19040	35	13	two	two	NUM
bracis-19040	35	14	arguments	argument	NOUN
bracis-19040	35	15	should	should	AUX
bracis-19040	35	16	not	not	PART
bracis-19040	35	17	interfere	interfere	VERB
bracis-19040	35	18	with	with	ADP
bracis-19040	35	19	the	the	DET
bracis-19040	35	20	acceptability	acceptability	NOUN
bracis-19040	35	21	of	of	ADP
bracis-19040	35	22	other	other	ADJ
bracis-19040	35	23	unrelated	unrelated	ADJ
bracis-19040	35	24	arguments	argument	NOUN
bracis-19040	35	25	.	.	PUNCT
bracis-19040	36	1	with	with	ADP
bracis-19040	36	2	this	this	DET
bracis-19040	36	3	purpose	purpose	NOUN
bracis-19040	36	4	in	in	ADP
bracis-19040	36	5	mind	mind	NOUN
bracis-19040	36	6	,	,	PUNCT
bracis-19040	36	7	we	we	PRON
bracis-19040	36	8	prove	prove	VERB
bracis-19040	36	9	under	under	ADP
bracis-19040	36	10	which	which	DET
bracis-19040	36	11	conditions	condition	NOUN
bracis-19040	36	12	the	the	DET
bracis-19040	36	13	important	important	ADJ
bracis-19040	36	14	principles	principle	NOUN
bracis-19040	36	15	of	of	ADP
bracis-19040	36	16	non	non	ADJ
bracis-19040	36	17	-	-	ADJ
bracis-19040	36	18	interference	interference	NOUN
bracis-19040	36	19	and	and	CCONJ
bracis-19040	36	20	crash	crash	NOUN
bracis-19040	36	21	-	-	PUNCT
bracis-19040	36	22	resistance	resistance	NOUN
bracis-19040	36	23	[	[	X
bracis-19040	36	24	10	10	NUM
bracis-19040	36	25	]	]	PUNCT
bracis-19040	36	26	hold	hold	NOUN
bracis-19040	36	27	in	in	ADP
bracis-19040	36	28	\	\	PROPN
bracis-19040	36	29	(	(	PUNCT
bracis-19040	36	30	aspic	aspic	NOUN
bracis-19040	36	31	^?\	^?\	NUM
bracis-19040	36	32	)	)	PUNCT
bracis-19040	36	33	.	.	PUNCT
bracis-19040	37	1	the	the	DET
bracis-19040	37	2	rest	rest	NOUN
bracis-19040	37	3	of	of	ADP
bracis-19040	37	4	the	the	DET
bracis-19040	37	5	paper	paper	NOUN
bracis-19040	37	6	is	be	AUX
bracis-19040	37	7	organised	organise	VERB
bracis-19040	37	8	as	as	SCONJ
bracis-19040	37	9	follows	follow	VERB
bracis-19040	37	10	:	:	PUNCT
bracis-19040	37	11	in	in	ADP
bracis-19040	37	12	sect	sect	NOUN
bracis-19040	37	13	.	.	PUNCT
bracis-19040	37	14	 	 	SPACE
bracis-19040	38	1	2	2	NUM
bracis-19040	38	2	,	,	PUNCT
bracis-19040	38	3	\	\	PROPN
bracis-19040	38	4	(	(	PUNCT
bracis-19040	38	5	aspic	aspic	NOUN
bracis-19040	38	6	^?\	^?\	NUM
bracis-19040	38	7	)	)	PUNCT
bracis-19040	38	8	framework	framework	NOUN
bracis-19040	38	9	is	be	AUX
bracis-19040	38	10	presented	present	VERB
bracis-19040	38	11	.	.	PUNCT
bracis-19040	39	1	then	then	ADV
bracis-19040	39	2	,	,	PUNCT
bracis-19040	39	3	we	we	PRON
bracis-19040	39	4	introduce	introduce	VERB
bracis-19040	39	5	the	the	DET
bracis-19040	39	6	corresponding	correspond	VERB
bracis-19040	39	7	argumentation	argumentation	NOUN
bracis-19040	39	8	framework	framework	NOUN
bracis-19040	39	9	with	with	ADP
bracis-19040	39	10	two	two	NUM
bracis-19040	39	11	kinds	kind	NOUN
bracis-19040	39	12	of	of	ADP
bracis-19040	39	13	defeats	defeat	NOUN
bracis-19040	39	14	(	(	PUNCT
bracis-19040	39	15	strong	strong	ADJ
bracis-19040	39	16	and	and	CCONJ
bracis-19040	39	17	weak	weak	ADJ
bracis-19040	39	18	)	)	PUNCT
bracis-19040	39	19	and	and	CCONJ
bracis-19040	39	20	its	its	PRON
bracis-19040	39	21	semantics	semantic	NOUN
bracis-19040	39	22	.	.	PUNCT
bracis-19040	40	1	section	section	NOUN
bracis-19040	40	2	 	 	SPACE
bracis-19040	40	3	3	3	NUM
bracis-19040	40	4	is	be	AUX
bracis-19040	40	5	focused	focus	VERB
bracis-19040	40	6	on	on	ADP
bracis-19040	40	7	proving	prove	VERB
bracis-19040	40	8	the	the	DET
bracis-19040	40	9	satisfaction	satisfaction	NOUN
bracis-19040	40	10	of	of	ADP
bracis-19040	40	11	the	the	DET
bracis-19040	40	12	principles	principle	NOUN
bracis-19040	40	13	of	of	ADP
bracis-19040	40	14	non	non	ADJ
bracis-19040	40	15	-	-	ADJ
bracis-19040	40	16	interference	interference	NOUN
bracis-19040	40	17	and	and	CCONJ
bracis-19040	40	18	crash	crash	NOUN
bracis-19040	40	19	-	-	PUNCT
bracis-19040	40	20	resistance	resistance	NOUN
bracis-19040	40	21	.	.	PUNCT
bracis-19040	41	1	finally	finally	ADV
bracis-19040	41	2	,	,	PUNCT
bracis-19040	41	3	we	we	PRON
bracis-19040	41	4	summarise	summarise	VERB
bracis-19040	41	5	our	our	PRON
bracis-19040	41	6	contributions	contribution	NOUN
bracis-19040	41	7	and	and	CCONJ
bracis-19040	41	8	future	future	ADJ
bracis-19040	41	9	developments	development	NOUN
bracis-19040	41	10	.	.	PUNCT
bracis-19040	42	1	2	2	NUM
bracis-19040	42	2	the	the	DET
bracis-19040	42	3	\	\	NOUN
bracis-19040	42	4	(	(	PUNCT
bracis-19040	42	5	aspic	aspic	NOUN
bracis-19040	42	6	^?\	^?\	NUM
bracis-19040	42	7	)	)	PUNCT
bracis-19040	42	8	framework	framework	NOUN
bracis-19040	42	9	an	an	DET
bracis-19040	42	10	abstract	abstract	ADJ
bracis-19040	42	11	argumentation	argumentation	NOUN
bracis-19040	42	12	framework	framework	NOUN
bracis-19040	42	13	\	\	PROPN
bracis-19040	42	14	(	(	PUNCT
bracis-19040	42	15	af	af	PROPN
bracis-19040	42	16	\	\	PROPN
bracis-19040	42	17	)	)	PUNCT
bracis-19040	43	1	[	[	X
bracis-19040	43	2	11	11	NUM
bracis-19040	43	3	]	]	PUNCT
bracis-19040	43	4	is	be	AUX
bracis-19040	43	5	a	a	DET
bracis-19040	43	6	pair	pair	NOUN
bracis-19040	43	7	\((\mathcal	\((\mathcal	ADJ
bracis-19040	43	8	a	a	PRON
bracis-19040	43	9	,	,	PUNCT
bracis-19040	43	10	\mathcal	\mathcal	PROPN
bracis-19040	43	11	d)\	d)\	ADV
bracis-19040	43	12	)	)	PUNCT
bracis-19040	43	13	in	in	ADP
bracis-19040	43	14	which	which	PRON
bracis-19040	43	15	\(\mathcal	\(\mathcal	ADJ
bracis-19040	43	16	a\	a\	NOUN
bracis-19040	43	17	)	)	PUNCT
bracis-19040	43	18	is	be	AUX
bracis-19040	43	19	a	a	DET
bracis-19040	43	20	set	set	NOUN
bracis-19040	43	21	of	of	ADP
bracis-19040	43	22	arguments	argument	NOUN
bracis-19040	43	23	and	and	CCONJ
bracis-19040	43	24	\(\mathcal	\(\mathcal	ADJ
bracis-19040	43	25	d	d	X
bracis-19040	43	26	\subseteq	\subseteq	PROPN
bracis-19040	43	27	\mathcal	\mathcal	PROPN
bracis-19040	43	28	a	a	DET
bracis-19040	43	29	\times	\times	PROPN
bracis-19040	43	30	\mathcal	\mathcal	PROPN
bracis-19040	43	31	a\	a\	NOUN
bracis-19040	43	32	)	)	PUNCT
bracis-19040	43	33	is	be	AUX
bracis-19040	43	34	a	a	DET
bracis-19040	43	35	relation	relation	NOUN
bracis-19040	43	36	of	of	ADP
bracis-19040	43	37	defeat	defeat	NOUN
bracis-19040	43	38	.	.	PUNCT
bracis-19040	44	1	an	an	DET
bracis-19040	44	2	argument	argument	NOUN
bracis-19040	44	3	a	a	DET
bracis-19040	44	4	defeats	defeat	NOUN
bracis-19040	44	5	\(\mathcal	\(\mathcal	ADJ
bracis-19040	44	6	b\	b\	NOUN
bracis-19040	44	7	)	)	PUNCT
bracis-19040	44	8	if	if	SCONJ
bracis-19040	44	9	\((a	\((a	PROPN
bracis-19040	44	10	,	,	PUNCT
bracis-19040	44	11	b	b	NOUN
bracis-19040	44	12	)	)	PUNCT
bracis-19040	44	13	\in	\in	PROPN
bracis-19040	44	14	\mathcal	\mathcal	PROPN
bracis-19040	44	15	d\	d\	PROPN
bracis-19040	44	16	)	)	PUNCT
bracis-19040	44	17	.	.	PUNCT
bracis-19040	45	1	the	the	DET
bracis-19040	45	2	\	\	PROPN
bracis-19040	45	3	(	(	PUNCT
bracis-19040	45	4	aspic	aspic	NOUN
bracis-19040	45	5	^+\	^+\	ADJ
bracis-19040	45	6	)	)	PUNCT
bracis-19040	45	7	framework	framework	NOUN
bracis-19040	45	8	[	[	X
bracis-19040	45	9	3	3	NUM
bracis-19040	45	10	,	,	PUNCT
bracis-19040	45	11	12	12	NUM
bracis-19040	45	12	]	]	PUNCT
bracis-19040	45	13	gives	give	VERB
bracis-19040	45	14	structure	structure	NOUN
bracis-19040	45	15	to	to	ADP
bracis-19040	45	16	the	the	DET
bracis-19040	45	17	arguments	argument	NOUN
bracis-19040	45	18	and	and	CCONJ
bracis-19040	45	19	defeat	defeat	NOUN
bracis-19040	45	20	relation	relation	NOUN
bracis-19040	45	21	in	in	ADP
bracis-19040	45	22	an	an	DET
bracis-19040	45	23	\	\	PROPN
bracis-19040	45	24	(	(	PUNCT
bracis-19040	45	25	af	af	PROPN
bracis-19040	45	26	\	\	PROPN
bracis-19040	45	27	)	)	PUNCT
bracis-19040	45	28	.	.	PUNCT
bracis-19040	46	1	in	in	ADP
bracis-19040	46	2	this	this	DET
bracis-19040	46	3	section	section	NOUN
bracis-19040	46	4	,	,	PUNCT
bracis-19040	46	5	we	we	PRON
bracis-19040	46	6	introduce	introduce	VERB
bracis-19040	46	7	in	in	ADP
bracis-19040	46	8	\	\	PROPN
bracis-19040	46	9	(	(	PUNCT
bracis-19040	46	10	aspic	aspic	NOUN
bracis-19040	46	11	^+\	^+\	NOUN
bracis-19040	46	12	)	)	PUNCT
bracis-19040	46	13	languages	language	NOUN
bracis-19040	46	14	an	an	DET
bracis-19040	46	15	interrogation	interrogation	NOUN
bracis-19040	46	16	mark	mark	NOUN
bracis-19040	46	17	?	?	PUNCT
bracis-19040	47	1	as	as	SCONJ
bracis-19040	47	2	a	a	DET
bracis-19040	47	3	plausibility	plausibility	NOUN
bracis-19040	47	4	operator	operator	NOUN
bracis-19040	47	5	to	to	PART
bracis-19040	47	6	enhance	enhance	VERB
bracis-19040	47	7	defeasible	defeasible	ADJ
bracis-19040	47	8	conclusions	conclusion	NOUN
bracis-19040	47	9	do	do	AUX
bracis-19040	47	10	not	not	PART
bracis-19040	47	11	have	have	VERB
bracis-19040	47	12	the	the	DET
bracis-19040	47	13	same	same	ADJ
bracis-19040	47	14	status	status	NOUN
bracis-19040	47	15	as	as	ADP
bracis-19040	47	16	those	those	PRON
bracis-19040	47	17	irrefutable	irrefutable	ADJ
bracis-19040	47	18	.	.	PUNCT
bracis-19040	48	1	the	the	DET
bracis-19040	48	2	resulting	result	VERB
bracis-19040	48	3	framework	framework	NOUN
bracis-19040	48	4	,	,	PUNCT
bracis-19040	48	5	\	\	PROPN
bracis-19040	48	6	(	(	PUNCT
bracis-19040	48	7	aspic	aspic	NOUN
bracis-19040	48	8	^?\	^?\	NUM
bracis-19040	48	9	)	)	PUNCT
bracis-19040	48	10	,	,	PUNCT
bracis-19040	48	11	is	be	AUX
bracis-19040	48	12	tailored	tailor	VERB
bracis-19040	48	13	to	to	PART
bracis-19040	48	14	distinguish	distinguish	VERB
bracis-19040	48	15	strong	strong	ADJ
bracis-19040	48	16	inconsistencies	inconsistency	NOUN
bracis-19040	48	17	from	from	ADP
bracis-19040	48	18	weak	weak	ADJ
bracis-19040	48	19	inconsistencies	inconsistency	NOUN
bracis-19040	48	20	.	.	PUNCT
bracis-19040	49	1	the	the	DET
bracis-19040	49	2	aim	aim	NOUN
bracis-19040	49	3	is	be	AUX
bracis-19040	49	4	to	to	PART
bracis-19040	49	5	avoid	avoid	VERB
bracis-19040	49	6	the	the	DET
bracis-19040	49	7	former	former	ADJ
bracis-19040	49	8	and	and	CCONJ
bracis-19040	49	9	to	to	PART
bracis-19040	49	10	tolerate	tolerate	VERB
bracis-19040	49	11	the	the	DET
bracis-19040	49	12	latter	latter	ADJ
bracis-19040	49	13	.	.	PUNCT
bracis-19040	50	1	we	we	PRON
bracis-19040	50	2	start	start	VERB
bracis-19040	50	3	by	by	ADP
bracis-19040	50	4	defining	define	VERB
bracis-19040	50	5	the	the	DET
bracis-19040	50	6	argumentation	argumentation	NOUN
bracis-19040	50	7	systems	system	NOUN
bracis-19040	50	8	specified	specify	VERB
bracis-19040	50	9	by	by	ADP
bracis-19040	50	10	\	\	PROPN
bracis-19040	50	11	(	(	PUNCT
bracis-19040	50	12	aspic	aspic	NOUN
bracis-19040	50	13	^?\	^?\	NUM
bracis-19040	50	14	):	):	PUNCT
bracis-19040	50	15	definition	definition	NOUN
bracis-19040	50	16	1	1	NUM
bracis-19040	50	17	(	(	PUNCT
bracis-19040	50	18	argumentation	argumentation	NOUN
bracis-19040	50	19	system	system	NOUN
bracis-19040	50	20	)	)	PUNCT
bracis-19040	50	21	.	.	PUNCT
bracis-19040	51	1	an	an	DET
bracis-19040	51	2	argumentation	argumentation	NOUN
bracis-19040	51	3	system	system	NOUN
bracis-19040	51	4	is	be	AUX
bracis-19040	51	5	a	a	DET
bracis-19040	51	6	tuple	tuple	NOUN
bracis-19040	51	7	\	\	PROPN
bracis-19040	51	8	(	(	PUNCT
bracis-19040	51	9	as	as	ADP
bracis-19040	51	10	=	=	PUNCT
bracis-19040	51	11	(	(	PUNCT
bracis-19040	51	12	\mathcal	\mathcal	PROPN
bracis-19040	51	13	l,^-,\mathcal	l,^-,\mathcal	PROPN
bracis-19040	51	14	r	r	NOUN
bracis-19040	51	15	,	,	PUNCT
bracis-19040	51	16	n)\	n)\	NUM
bracis-19040	51	17	)	)	PUNCT
bracis-19040	51	18	,	,	PUNCT
bracis-19040	51	19	in	in	ADP
bracis-19040	51	20	which	which	PRON
bracis-19040	51	21	\(\mathcal	\(\mathcal	ADJ
bracis-19040	51	22	l=	l=	ADJ
bracis-19040	51	23	\mathcal	\mathcal	PROPN
bracis-19040	51	24	l^	l^	PROPN
bracis-19040	51	25	*	*	PUNCT
bracis-19040	51	26	\cup	\cup	PROPN
bracis-19040	51	27	\mathcal	\mathcal	PROPN
bracis-19040	51	28	l^?\	l^?\	PROPN
bracis-19040	51	29	)	)	PUNCT
bracis-19040	51	30	is	be	AUX
bracis-19040	51	31	a	a	DET
bracis-19040	51	32	logical	logical	ADJ
bracis-19040	51	33	language	language	NOUN
bracis-19040	51	34	with	with	ADP
bracis-19040	51	35	a	a	DET
bracis-19040	51	36	unary	unary	ADJ
bracis-19040	51	37	negation	negation	NOUN
bracis-19040	51	38	symbol	symbol	NOUN
bracis-19040	51	39	\(\lnot	\(\lnot	ADV
bracis-19040	51	40	\	\	NOUN
bracis-19040	51	41	)	)	PUNCT
bracis-19040	51	42	and	and	CCONJ
bracis-19040	51	43	a	a	DET
bracis-19040	51	44	unary	unary	ADJ
bracis-19040	51	45	plausibility	plausibility	NOUN
bracis-19040	51	46	symbol	symbol	NOUN
bracis-19040	51	47	?	?	PUNCT
bracis-19040	52	1	such	such	ADJ
bracis-19040	52	2	that	that	SCONJ
bracis-19040	52	3	\(\mathcal	\(\mathcal	ADJ
bracis-19040	52	4	l^*\	l^*\	NOUN
bracis-19040	52	5	)	)	PUNCT
bracis-19040	52	6	is	be	AUX
bracis-19040	52	7	a	a	DET
bracis-19040	52	8	?	?	PUNCT
bracis-19040	52	9	-free	-free	ADJ
bracis-19040	52	10	logical	logical	ADJ
bracis-19040	52	11	language	language	NOUN
bracis-19040	52	12	with	with	ADP
bracis-19040	52	13	a	a	DET
bracis-19040	52	14	unary	unary	ADJ
bracis-19040	52	15	negation	negation	NOUN
bracis-19040	52	16	symbol	symbol	NOUN
bracis-19040	52	17	.	.	PUNCT
bracis-19040	53	1	\(\mathcal	\(\mathcal	ADJ
bracis-19040	53	2	l^	l^	NOUN
bracis-19040	53	3	?	?	PUNCT
bracis-19040	54	1	=	=	PUNCT
bracis-19040	54	2	\left\	\left\	PROPN
bracis-19040	54	3	{	{	PUNCT
bracis-19040	54	4	\phi	\phi	PROPN
bracis-19040	54	5	?	?	PUNCT
bracis-19040	55	1	\mid	\mid	ADP
bracis-19040	55	2	\phi	\phi	PROPN
bracis-19040	55	3	\in	\in	PROPN
bracis-19040	55	4	\mathcal	\mathcal	ADJ
bracis-19040	55	5	l^*\right\	l^*\right\	NOUN
bracis-19040	55	6	}	}	PUNCT
bracis-19040	55	7	\	\	NOUN
bracis-19040	55	8	)	)	PUNCT
bracis-19040	55	9	.	.	PUNCT
bracis-19040	56	1	\(^-\	\(^-\	NOUN
bracis-19040	56	2	)	)	PUNCT
bracis-19040	56	3	is	be	AUX
bracis-19040	56	4	a	a	DET
bracis-19040	56	5	function	function	NOUN
bracis-19040	56	6	from	from	ADP
bracis-19040	56	7	\(\mathcal	\(\mathcal	ADJ
bracis-19040	56	8	l\	l\	NOUN
bracis-19040	56	9	)	)	PUNCT
bracis-19040	56	10	to	to	ADP
bracis-19040	56	11	\(2^{\mathcal	\(2^{\mathcal	ADJ
bracis-19040	56	12	l}\	l}\	PROPN
bracis-19040	56	13	)	)	PUNCT
bracis-19040	56	14	,	,	PUNCT
bracis-19040	56	15	such	such	ADJ
bracis-19040	56	16	that	that	SCONJ
bracis-19040	56	17	\(\varphi	\(\varphi	ADJ
bracis-19040	56	18	\	\	NOUN
bracis-19040	56	19	)	)	PUNCT
bracis-19040	56	20	is	be	AUX
bracis-19040	56	21	a	a	DET
bracis-19040	56	22	contrary	contrary	NOUN
bracis-19040	56	23	of	of	ADP
bracis-19040	56	24	\(\psi	\(\psi	NOUN
bracis-19040	56	25	\	\	NOUN
bracis-19040	56	26	)	)	PUNCT
bracis-19040	56	27	if	if	SCONJ
bracis-19040	56	28	\(\varphi	\(\varphi	ADJ
bracis-19040	56	29	\in	\in	ADJ
bracis-19040	56	30	\overline{\psi	\overline{\psi	PROPN
bracis-19040	56	31	}	}	PUNCT
bracis-19040	56	32	\	\	PROPN
bracis-19040	56	33	)	)	PUNCT
bracis-19040	56	34	,	,	PUNCT
bracis-19040	56	35	\(\psi	\(\psi	ADP
bracis-19040	56	36	\not	\not	ADV
bracis-19040	56	37	\in	\in	VERB
bracis-19040	56	38	\overline{\varphi	\overline{\varphi	ADJ
bracis-19040	56	39	}	}	PUNCT
bracis-19040	56	40	\	\	NOUN
bracis-19040	56	41	)	)	PUNCT
bracis-19040	56	42	;	;	PUNCT
bracis-19040	56	43	\(\varphi	\(\varphi	PUNCT
bracis-19040	56	44	\	\	NOUN
bracis-19040	56	45	)	)	PUNCT
bracis-19040	56	46	is	be	AUX
bracis-19040	56	47	a	a	DET
bracis-19040	56	48	contradictory	contradictory	ADJ
bracis-19040	56	49	of	of	ADP
bracis-19040	56	50	\(\psi	\(\psi	NOUN
bracis-19040	56	51	\	\	NOUN
bracis-19040	56	52	)	)	PUNCT
bracis-19040	56	53	(	(	PUNCT
bracis-19040	56	54	denoted	denote	VERB
bracis-19040	56	55	by	by	ADP
bracis-19040	56	56	\(\varphi	\(\varphi	NOUN
bracis-19040	56	57	=	=	SYM
bracis-19040	56	58	-\psi	-\psi	PROPN
bracis-19040	56	59	\	\	PROPN
bracis-19040	56	60	)	)	PUNCT
bracis-19040	56	61	)	)	PUNCT
bracis-19040	56	62	,	,	PUNCT
bracis-19040	56	63	if	if	SCONJ
bracis-19040	56	64	\(\varphi	\(\varphi	ADJ
bracis-19040	56	65	\in	\in	ADJ
bracis-19040	56	66	\overline{\psi	\overline{\psi	PROPN
bracis-19040	56	67	}	}	PUNCT
bracis-19040	56	68	\	\	PROPN
bracis-19040	56	69	)	)	PUNCT
bracis-19040	56	70	,	,	PUNCT
bracis-19040	56	71	\(\psi	\(\psi	ADP
bracis-19040	56	72	\in	\in	PROPN
bracis-19040	56	73	\overline{\varphi	\overline{\varphi	VERB
bracis-19040	56	74	}	}	PUNCT
bracis-19040	56	75	\	\	NOUN
bracis-19040	56	76	)	)	PUNCT
bracis-19040	56	77	;	;	PUNCT
bracis-19040	56	78	\(\mathcal	\(\mathcal	ADJ
bracis-19040	56	79	r=	r=	ADJ
bracis-19040	56	80	\mathcal	\mathcal	PROPN
bracis-19040	56	81	r_s\cup	r_s\cup	PROPN
bracis-19040	56	82	\mathcal	\mathcal	PROPN
bracis-19040	56	83	r_d\	r_d\	PROPN
bracis-19040	56	84	)	)	PUNCT
bracis-19040	56	85	is	be	AUX
bracis-19040	56	86	a	a	DET
bracis-19040	56	87	set	set	NOUN
bracis-19040	56	88	of	of	ADP
bracis-19040	56	89	strict	strict	ADJ
bracis-19040	56	90	(	(	PUNCT
bracis-19040	56	91	\(\mathcal	\(\mathcal	ADJ
bracis-19040	56	92	r_s\	r_s\	NOUN
bracis-19040	56	93	)	)	PUNCT
bracis-19040	56	94	)	)	PUNCT
bracis-19040	56	95	and	and	CCONJ
bracis-19040	56	96	defeasible	defeasible	ADJ
bracis-19040	56	97	(	(	PUNCT
bracis-19040	56	98	\(\mathcal	\(\mathcal	ADJ
bracis-19040	56	99	r_d\	r_d\	NOUN
bracis-19040	56	100	)	)	PUNCT
bracis-19040	56	101	)	)	PUNCT
bracis-19040	56	102	inference	inference	NOUN
bracis-19040	56	103	rules	rule	NOUN
bracis-19040	56	104	of	of	ADP
bracis-19040	56	105	the	the	DET
bracis-19040	56	106	form	form	NOUN
bracis-19040	56	107	\(\phi	\(\phi	PUNCT
bracis-19040	57	1	_	_	NOUN
bracis-19040	57	2	1	1	NUM
bracis-19040	57	3	,	,	PUNCT
bracis-19040	57	4	\ldots	\ldots	INTJ
bracis-19040	57	5	,	,	PUNCT
bracis-19040	57	6	\phi	\phi	PROPN
bracis-19040	57	7	_	_	NOUN
bracis-19040	57	8	n	n	X
bracis-19040	57	9	\rightarrow	\rightarrow	PROPN
bracis-19040	57	10	\phi	\phi	PROPN
bracis-19040	57	11	\	\	NOUN
bracis-19040	57	12	)	)	PUNCT
bracis-19040	57	13	and	and	CCONJ
bracis-19040	57	14	\(\phi	\(\phi	ADJ
bracis-19040	57	15	_	_	NOUN
bracis-19040	57	16	1	1	NUM
bracis-19040	57	17	,	,	PUNCT
bracis-19040	57	18	\ldots	\ldots	INTJ
bracis-19040	57	19	,	,	PUNCT
bracis-19040	57	20	\phi	\phi	PROPN
bracis-19040	57	21	_	_	NOUN
bracis-19040	57	22	n	n	X
bracis-19040	57	23	\rightarrow	\rightarrow	PROPN
bracis-19040	57	24	\psi	\psi	PROPN
bracis-19040	57	25	?	?	PUNCT
bracis-19040	58	1	\	\	NOUN
bracis-19040	58	2	)	)	PUNCT
bracis-19040	58	3	respectively	respectively	ADV
bracis-19040	58	4	(	(	PUNCT
bracis-19040	58	5	in	in	ADP
bracis-19040	58	6	which	which	PRON
bracis-19040	58	7	\(\phi	\(\phi	NOUN
bracis-19040	58	8	_	_	NOUN
bracis-19040	58	9	1	1	NUM
bracis-19040	58	10	,	,	PUNCT
bracis-19040	58	11	\ldots	\ldots	INTJ
bracis-19040	58	12	,	,	PUNCT
bracis-19040	58	13	\phi	\phi	PROPN
bracis-19040	58	14	_	_	NOUN
bracis-19040	58	15	n	n	CCONJ
bracis-19040	58	16	,	,	PUNCT
bracis-19040	58	17	\phi	\phi	PROPN
bracis-19040	58	18	\	\	NOUN
bracis-19040	58	19	)	)	PUNCT
bracis-19040	58	20	are	be	AUX
bracis-19040	58	21	meta	meta	ADJ
bracis-19040	58	22	-	-	PUNCT
bracis-19040	58	23	variables	variable	NOUN
bracis-19040	58	24	ranging	range	VERB
bracis-19040	58	25	over	over	ADP
bracis-19040	58	26	wff	wff	PROPN
bracis-19040	58	27	in	in	ADP
bracis-19040	58	28	\(\mathcal	\(\mathcal	ADJ
bracis-19040	58	29	l\	l\	NOUN
bracis-19040	58	30	)	)	PUNCT
bracis-19040	58	31	and	and	CCONJ
bracis-19040	58	32	\(\psi	\(\psi	VERB
bracis-19040	58	33	\	\	NOUN
bracis-19040	58	34	)	)	PUNCT
bracis-19040	59	1	is	be	AUX
bracis-19040	59	2	a	a	DET
bracis-19040	59	3	meta	meta	ADJ
bracis-19040	59	4	-	-	PUNCT
bracis-19040	59	5	variable	variable	NOUN
bracis-19040	59	6	ranging	ranging	NOUN
bracis-19040	59	7	over	over	ADP
bracis-19040	59	8	wff	wff	PROPN
bracis-19040	59	9	in	in	ADP
bracis-19040	59	10	\(\mathcal	\(\mathcal	ADJ
bracis-19040	59	11	l^*\	l^*\	NOUN
bracis-19040	59	12	)	)	PUNCT
bracis-19040	59	13	)	)	PUNCT
bracis-19040	59	14	,	,	PUNCT
bracis-19040	59	15	and	and	CCONJ
bracis-19040	59	16	\(\mathcal	\(\mathcal	ADJ
bracis-19040	59	17	r_s\cap	r_s\cap	NOUN
bracis-19040	59	18	\mathcal	\mathcal	PROPN
bracis-19040	59	19	r_d=	r_d=	NOUN
bracis-19040	59	20	\emptyset	\emptyset	VERB
bracis-19040	59	21	\	\	NOUN
bracis-19040	59	22	)	)	PUNCT
bracis-19040	59	23	.	.	PUNCT
bracis-19040	60	1	n	n	PRON
bracis-19040	60	2	is	be	AUX
bracis-19040	60	3	a	a	DET
bracis-19040	60	4	partial	partial	ADJ
bracis-19040	60	5	function	function	NOUN
bracis-19040	60	6	such	such	ADJ
bracis-19040	60	7	that	that	DET
bracis-19040	60	8	\(n	\(n	NOUN
bracis-19040	60	9	:	:	PUNCT
bracis-19040	60	10	\mathcal	\mathcal	PROPN
bracis-19040	60	11	r_d\longrightarrow	r_d\longrightarrow	NOUN
bracis-19040	60	12	\mathcal	\mathcal	ADJ
bracis-19040	60	13	l\	l\	PROPN
bracis-19040	60	14	)	)	PUNCT
bracis-19040	60	15	.	.	PUNCT
bracis-19040	61	1	for	for	ADP
bracis-19040	61	2	any	any	DET
bracis-19040	61	3	formula	formula	NOUN
bracis-19040	61	4	\(\phi	\(\phi	NOUN
bracis-19040	61	5	\in	\in	PROPN
bracis-19040	61	6	\mathcal	\mathcal	PROPN
bracis-19040	61	7	l^*\	l^*\	PROPN
bracis-19040	61	8	)	)	PUNCT
bracis-19040	61	9	,	,	PUNCT
bracis-19040	61	10	we	we	PRON
bracis-19040	61	11	say	say	VERB
bracis-19040	61	12	\(\psi	\(\psi	ADP
bracis-19040	61	13	\in	\in	PROPN
bracis-19040	61	14	\phi	\phi	PROPN
bracis-19040	61	15	\	\	NOUN
bracis-19040	61	16	)	)	PUNCT
bracis-19040	61	17	if	if	SCONJ
bracis-19040	61	18	\(\psi	\(\psi	NOUN
bracis-19040	61	19	=	=	SYM
bracis-19040	61	20	\lnot	\lnot	PROPN
bracis-19040	61	21	\phi	\phi	PROPN
bracis-19040	61	22	\	\	NOUN
bracis-19040	61	23	)	)	PUNCT
bracis-19040	61	24	or	or	CCONJ
bracis-19040	61	25	\(\psi	\(\psi	VERB
bracis-19040	61	26	=	=	SYM
bracis-19040	61	27	\lnot	\lnot	PROPN
bracis-19040	61	28	\phi	\phi	PROPN
bracis-19040	61	29	?	?	PUNCT
bracis-19040	61	30	\	\	NOUN
bracis-19040	61	31	)	)	PUNCT
bracis-19040	61	32	or	or	CCONJ
bracis-19040	61	33	\(\phi	\(\phi	NOUN
bracis-19040	61	34	=	=	SYM
bracis-19040	61	35	\lnot	\lnot	PROPN
bracis-19040	61	36	\psi	\psi	PROPN
bracis-19040	61	37	\	\	NOUN
bracis-19040	61	38	)	)	PUNCT
bracis-19040	61	39	or	or	CCONJ
bracis-19040	61	40	(	(	PUNCT
bracis-19040	61	41	\(\phi	\(\phi	NOUN
bracis-19040	61	42	=	=	SYM
bracis-19040	61	43	\lnot	\lnot	PROPN
bracis-19040	61	44	\gamma	\gamma	NUM
bracis-19040	61	45	\	\	NOUN
bracis-19040	61	46	)	)	PUNCT
bracis-19040	61	47	and	and	CCONJ
bracis-19040	61	48	\(\psi	\(\psi	AUX
bracis-19040	61	49	=	=	SYM
bracis-19040	61	50	\gamma	\gamma	PROPN
bracis-19040	61	51	?	?	PUNCT
bracis-19040	61	52	\	\	NOUN
bracis-19040	61	53	)	)	PUNCT
bracis-19040	61	54	)	)	PUNCT
bracis-19040	61	55	;	;	PUNCT
bracis-19040	61	56	we	we	PRON
bracis-19040	61	57	say	say	VERB
bracis-19040	61	58	\(\psi	\(\psi	ADP
bracis-19040	61	59	\in	\in	PROPN
bracis-19040	61	60	\phi	\phi	PROPN
bracis-19040	61	61	?	?	PUNCT
bracis-19040	61	62	\	\	NOUN
bracis-19040	61	63	)	)	PUNCT
bracis-19040	61	64	if	if	SCONJ
bracis-19040	61	65	\(\psi	\(\psi	NOUN
bracis-19040	61	66	=	=	SYM
bracis-19040	61	67	\lnot	\lnot	PROPN
bracis-19040	61	68	\phi	\phi	PROPN
bracis-19040	61	69	\	\	NOUN
bracis-19040	61	70	)	)	PUNCT
bracis-19040	61	71	or	or	CCONJ
bracis-19040	61	72	\(\phi	\(\phi	NOUN
bracis-19040	61	73	=	=	SYM
bracis-19040	61	74	\lnot	\lnot	PROPN
bracis-19040	61	75	\psi	\psi	PROPN
bracis-19040	61	76	\	\	PROPN
bracis-19040	61	77	)	)	PUNCT
bracis-19040	61	78	.	.	PUNCT
bracis-19040	62	1	intuitively	intuitively	ADV
bracis-19040	62	2	,	,	PUNCT
bracis-19040	62	3	contraries	contrary	NOUN
bracis-19040	62	4	can	can	AUX
bracis-19040	62	5	be	be	AUX
bracis-19040	62	6	used	use	VERB
bracis-19040	62	7	to	to	PART
bracis-19040	62	8	model	model	VERB
bracis-19040	62	9	well	well	ADV
bracis-19040	62	10	-	-	PUNCT
bracis-19040	62	11	known	know	VERB
bracis-19040	62	12	constructs	construct	NOUN
bracis-19040	62	13	like	like	ADP
bracis-19040	62	14	negation	negation	NOUN
bracis-19040	62	15	as	as	ADP
bracis-19040	62	16	failure	failure	NOUN
bracis-19040	62	17	in	in	ADP
bracis-19040	62	18	logic	logic	NOUN
bracis-19040	62	19	programming	programming	NOUN
bracis-19040	62	20	.	.	PUNCT
bracis-19040	63	1	note	note	VERB
bracis-19040	63	2	for	for	ADP
bracis-19040	63	3	any	any	DET
bracis-19040	63	4	\(\phi	\(\phi	ADJ
bracis-19040	63	5	\in	\in	PROPN
bracis-19040	63	6	\mathcal	\mathcal	PROPN
bracis-19040	63	7	l^*\	l^*\	PROPN
bracis-19040	63	8	)	)	PUNCT
bracis-19040	63	9	,	,	PUNCT
bracis-19040	63	10	\(\phi	\(\phi	ADJ
bracis-19040	63	11	\	\	NOUN
bracis-19040	63	12	)	)	PUNCT
bracis-19040	63	13	and	and	CCONJ
bracis-19040	63	14	\(\phi	\(\phi	ADJ
bracis-19040	63	15	?	?	PUNCT
bracis-19040	64	1	\	\	NOUN
bracis-19040	64	2	)	)	PUNCT
bracis-19040	64	3	are	be	AUX
bracis-19040	64	4	contradictories	contradictory	NOUN
bracis-19040	64	5	of	of	ADP
bracis-19040	64	6	\(\lnot	\(\lnot	ADV
bracis-19040	64	7	\phi	\phi	PROPN
bracis-19040	64	8	\	\	NOUN
bracis-19040	64	9	)	)	PUNCT
bracis-19040	64	10	;	;	PUNCT
bracis-19040	65	1	whilst	whilst	SCONJ
bracis-19040	65	2	,	,	PUNCT
bracis-19040	65	3	only	only	ADV
bracis-19040	65	4	\(\phi	\(\phi	ADJ
bracis-19040	65	5	\	\	NOUN
bracis-19040	65	6	)	)	PUNCT
bracis-19040	65	7	is	be	AUX
bracis-19040	65	8	a	a	DET
bracis-19040	65	9	contradictory	contradictory	ADJ
bracis-19040	65	10	of	of	ADP
bracis-19040	65	11	\(\lnot	\(\lnot	ADV
bracis-19040	65	12	\phi	\phi	PROPN
bracis-19040	65	13	?	?	PUNCT
bracis-19040	65	14	\	\	NOUN
bracis-19040	65	15	)	)	PUNCT
bracis-19040	65	16	.	.	PUNCT
bracis-19040	66	1	this	this	PRON
bracis-19040	66	2	means	mean	VERB
bracis-19040	66	3	\(\phi	\(\phi	NOUN
bracis-19040	66	4	?	?	PUNCT
bracis-19040	67	1	\	\	NOUN
bracis-19040	67	2	)	)	PUNCT
bracis-19040	67	3	is	be	AUX
bracis-19040	67	4	not	not	PART
bracis-19040	67	5	a	a	DET
bracis-19040	67	6	contradictory	contradictory	ADJ
bracis-19040	67	7	of	of	ADP
bracis-19040	67	8	\(\lnot	\(\lnot	ADV
bracis-19040	67	9	\phi	\phi	PROPN
bracis-19040	67	10	?	?	PUNCT
bracis-19040	67	11	\	\	NOUN
bracis-19040	67	12	)	)	PUNCT
bracis-19040	67	13	.	.	PUNCT
bracis-19040	68	1	a	a	DET
bracis-19040	68	2	set	set	NOUN
bracis-19040	68	3	as	as	ADP
bracis-19040	68	4	\(\left\	\(\left\	PROPN
bracis-19040	68	5	{	{	PUNCT
bracis-19040	68	6	\phi	\phi	PROPN
bracis-19040	68	7	,	,	PUNCT
bracis-19040	68	8	\phi	\phi	PROPN
bracis-19040	68	9	\right\	\right\	ADJ
bracis-19040	68	10	}	}	PUNCT
bracis-19040	68	11	\	\	NOUN
bracis-19040	68	12	)	)	PUNCT
bracis-19040	68	13	(	(	PUNCT
bracis-19040	68	14	or	or	CCONJ
bracis-19040	68	15	\(\left\	\(\left\	AUX
bracis-19040	68	16	{	{	PUNCT
bracis-19040	68	17	\phi	\phi	PROPN
bracis-19040	68	18	?	?	PUNCT
bracis-19040	68	19	,	,	PUNCT
bracis-19040	68	20	\phi	\phi	PROPN
bracis-19040	68	21	?	?	SYM
bracis-19040	68	22	\right\	\right\	ADJ
bracis-19040	68	23	}	}	PUNCT
bracis-19040	68	24	\	\	NOUN
bracis-19040	68	25	)	)	PUNCT
bracis-19040	68	26	)	)	PUNCT
bracis-19040	68	27	is	be	AUX
bracis-19040	68	28	intended	intend	VERB
bracis-19040	68	29	to	to	PART
bracis-19040	68	30	represent	represent	VERB
bracis-19040	68	31	a	a	DET
bracis-19040	68	32	strong	strong	ADJ
bracis-19040	68	33	inconsistency	inconsistency	NOUN
bracis-19040	68	34	,	,	PUNCT
bracis-19040	68	35	and	and	CCONJ
bracis-19040	68	36	\(\left\	\(\left\	PROPN
bracis-19040	68	37	{	{	PUNCT
bracis-19040	68	38	\phi	\phi	PROPN
bracis-19040	68	39	?	?	PUNCT
bracis-19040	68	40	,	,	PUNCT
bracis-19040	68	41	\lnot	\lnot	PROPN
bracis-19040	68	42	\phi	\phi	PROPN
bracis-19040	68	43	?	?	SYM
bracis-19040	68	44	\right\	\right\	ADJ
bracis-19040	68	45	}	}	PUNCT
bracis-19040	68	46	\	\	NOUN
bracis-19040	68	47	)	)	PUNCT
bracis-19040	68	48	is	be	AUX
bracis-19040	68	49	intended	intend	VERB
bracis-19040	68	50	to	to	PART
bracis-19040	68	51	represent	represent	VERB
bracis-19040	68	52	a	a	DET
bracis-19040	68	53	weak	weak	ADJ
bracis-19040	68	54	inconsistency	inconsistency	NOUN
bracis-19040	68	55	.	.	PUNCT
bracis-19040	69	1	we	we	PRON
bracis-19040	69	2	will	will	AUX
bracis-19040	69	3	refer	refer	VERB
bracis-19040	69	4	to	to	ADP
bracis-19040	69	5	these	these	DET
bracis-19040	69	6	two	two	NUM
bracis-19040	69	7	kinds	kind	NOUN
bracis-19040	69	8	of	of	ADP
bracis-19040	69	9	inconsistencies	inconsistency	NOUN
bracis-19040	69	10	(	(	PUNCT
bracis-19040	69	11	strong	strong	ADJ
bracis-19040	69	12	and	and	CCONJ
bracis-19040	69	13	weak	weak	ADJ
bracis-19040	69	14	)	)	PUNCT
bracis-19040	69	15	as	as	ADP
bracis-19040	69	16	epistemic	epistemic	ADJ
bracis-19040	69	17	inconsistencies	inconsistency	NOUN
bracis-19040	69	18	or	or	CCONJ
bracis-19040	69	19	simply	simply	ADV
bracis-19040	69	20	inconsistencies	inconsistency	NOUN
bracis-19040	69	21	.	.	PUNCT
bracis-19040	70	1	it	it	PRON
bracis-19040	70	2	is	be	AUX
bracis-19040	70	3	also	also	ADV
bracis-19040	70	4	required	require	VERB
bracis-19040	70	5	a	a	DET
bracis-19040	70	6	knowledge	knowledge	NOUN
bracis-19040	70	7	base	base	NOUN
bracis-19040	70	8	to	to	PART
bracis-19040	70	9	provide	provide	VERB
bracis-19040	70	10	premises	premise	NOUN
bracis-19040	70	11	for	for	ADP
bracis-19040	70	12	the	the	DET
bracis-19040	70	13	arguments	argument	NOUN
bracis-19040	70	14	.	.	PUNCT
bracis-19040	71	1	definition	definition	NOUN
bracis-19040	71	2	2	2	NUM
bracis-19040	71	3	(	(	PUNCT
bracis-19040	71	4	knowledge	knowledge	NOUN
bracis-19040	71	5	base	base	NOUN
bracis-19040	71	6	)	)	PUNCT
bracis-19040	71	7	.	.	PUNCT
bracis-19040	72	1	a	a	DET
bracis-19040	72	2	knowledge	knowledge	NOUN
bracis-19040	72	3	base	base	NOUN
bracis-19040	72	4	in	in	ADP
bracis-19040	72	5	an	an	DET
bracis-19040	72	6	argumentation	argumentation	NOUN
bracis-19040	72	7	system	system	NOUN
bracis-19040	72	8	\	\	PROPN
bracis-19040	72	9	(	(	PUNCT
bracis-19040	72	10	as	as	SCONJ
bracis-19040	72	11	=	=	PUNCT
bracis-19040	72	12	(	(	PUNCT
bracis-19040	72	13	\mathcal	\mathcal	PROPN
bracis-19040	72	14	l,^-,\mathcal	l,^-,\mathcal	PROPN
bracis-19040	72	15	r	r	NOUN
bracis-19040	72	16	,	,	PUNCT
bracis-19040	72	17	n)\	n)\	NUM
bracis-19040	72	18	)	)	PUNCT
bracis-19040	72	19	is	be	AUX
bracis-19040	72	20	a	a	DET
bracis-19040	72	21	set	set	ADJ
bracis-19040	72	22	\(\mathcal	\(\mathcal	ADJ
bracis-19040	72	23	k\subseteq	k\subseteq	NOUN
bracis-19040	72	24	\mathcal	\mathcal	PROPN
bracis-19040	72	25	l\	l\	PROPN
bracis-19040	72	26	)	)	PUNCT
bracis-19040	72	27	consisting	consist	VERB
bracis-19040	72	28	of	of	ADP
bracis-19040	72	29	two	two	NUM
bracis-19040	72	30	disjoint	disjoint	NOUN
bracis-19040	72	31	subsets	subset	NOUN
bracis-19040	72	32	\(\mathcal	\(\mathcal	ADJ
bracis-19040	72	33	k_n\	k_n\	PROPN
bracis-19040	72	34	)	)	PUNCT
bracis-19040	72	35	(	(	PUNCT
bracis-19040	72	36	the	the	DET
bracis-19040	72	37	axioms	axiom	NOUN
bracis-19040	72	38	)	)	PUNCT
bracis-19040	72	39	and	and	CCONJ
bracis-19040	72	40	\(\mathcal	\(\mathcal	ADJ
bracis-19040	72	41	k_p\	k_p\	PROPN
bracis-19040	72	42	)	)	PUNCT
bracis-19040	72	43	(	(	PUNCT
bracis-19040	72	44	the	the	DET
bracis-19040	72	45	ordinary	ordinary	ADJ
bracis-19040	72	46	premises	premise	NOUN
bracis-19040	72	47	)	)	PUNCT
bracis-19040	72	48	.	.	PUNCT
bracis-19040	73	1	axioms	axiom	NOUN
bracis-19040	73	2	are	be	AUX
bracis-19040	73	3	certain	certain	ADJ
bracis-19040	73	4	knowledge	knowledge	NOUN
bracis-19040	73	5	and	and	CCONJ
bracis-19040	73	6	can	can	AUX
bracis-19040	73	7	not	not	PART
bracis-19040	73	8	be	be	AUX
bracis-19040	73	9	attacked	attack	VERB
bracis-19040	73	10	,	,	PUNCT
bracis-19040	73	11	whilst	whilst	ADV
bracis-19040	73	12	,	,	PUNCT
bracis-19040	73	13	ordinary	ordinary	ADJ
bracis-19040	73	14	premises	premise	NOUN
bracis-19040	73	15	are	be	AUX
bracis-19040	73	16	uncertain	uncertain	ADJ
bracis-19040	73	17	and	and	CCONJ
bracis-19040	73	18	can	can	AUX
bracis-19040	73	19	be	be	AUX
bracis-19040	73	20	attacked	attack	VERB
bracis-19040	73	21	.	.	PUNCT
bracis-19040	74	1	now	now	ADV
bracis-19040	74	2	we	we	PRON
bracis-19040	74	3	can	can	AUX
bracis-19040	74	4	define	define	VERB
bracis-19040	74	5	an	an	DET
bracis-19040	74	6	argumentation	argumentation	NOUN
bracis-19040	74	7	theory	theory	NOUN
bracis-19040	74	8	:	:	PUNCT
bracis-19040	74	9	definition	definition	NOUN
bracis-19040	74	10	3	3	NUM
bracis-19040	74	11	an	an	DET
bracis-19040	74	12	argumentation	argumentation	NOUN
bracis-19040	74	13	theory	theory	NOUN
bracis-19040	74	14	\	\	PROPN
bracis-19040	74	15	(	(	PUNCT
bracis-19040	74	16	(	(	PUNCT
bracis-19040	74	17	as	as	ADP
bracis-19040	74	18	,	,	PUNCT
bracis-19040	74	19	\mathcal	\mathcal	PROPN
bracis-19040	74	20	k)\	k)\	NOUN
bracis-19040	74	21	)	)	PUNCT
bracis-19040	74	22	is	be	AUX
bracis-19040	74	23	a	a	DET
bracis-19040	74	24	pair	pair	NOUN
bracis-19040	74	25	in	in	ADP
bracis-19040	74	26	which	which	PRON
bracis-19040	74	27	\	\	PROPN
bracis-19040	74	28	(	(	PUNCT
bracis-19040	74	29	as	as	ADP
bracis-19040	74	30	\	\	NOUN
bracis-19040	74	31	)	)	PUNCT
bracis-19040	74	32	is	be	AUX
bracis-19040	74	33	an	an	DET
bracis-19040	74	34	argumentation	argumentation	NOUN
bracis-19040	74	35	system	system	NOUN
bracis-19040	74	36	and	and	CCONJ
bracis-19040	74	37	\(\mathcal	\(\mathcal	ADJ
bracis-19040	74	38	k\	k\	NOUN
bracis-19040	74	39	)	)	PUNCT
bracis-19040	74	40	is	be	AUX
bracis-19040	74	41	a	a	DET
bracis-19040	74	42	knowledge	knowledge	NOUN
bracis-19040	74	43	base	base	NOUN
bracis-19040	74	44	in	in	ADP
bracis-19040	74	45	\	\	PROPN
bracis-19040	74	46	(	(	PUNCT
bracis-19040	74	47	as	as	ADP
bracis-19040	74	48	\	\	NOUN
bracis-19040	74	49	)	)	PUNCT
bracis-19040	74	50	.	.	PUNCT
bracis-19040	75	1	in	in	ADP
bracis-19040	75	2	\	\	PROPN
bracis-19040	75	3	(	(	PUNCT
bracis-19040	75	4	aspic	aspic	NOUN
bracis-19040	75	5	^?\	^?\	NUM
bracis-19040	75	6	)	)	PUNCT
bracis-19040	75	7	,	,	PUNCT
bracis-19040	75	8	arguments	argument	NOUN
bracis-19040	75	9	are	be	AUX
bracis-19040	75	10	constructed	construct	VERB
bracis-19040	75	11	recursively	recursively	ADV
bracis-19040	75	12	from	from	ADP
bracis-19040	75	13	an	an	DET
bracis-19040	75	14	argumentation	argumentation	NOUN
bracis-19040	75	15	theory	theory	NOUN
bracis-19040	75	16	by	by	ADP
bracis-19040	75	17	the	the	DET
bracis-19040	75	18	successive	successive	ADJ
bracis-19040	75	19	application	application	NOUN
bracis-19040	75	20	of	of	ADP
bracis-19040	75	21	construction	construction	NOUN
bracis-19040	75	22	rules	rule	NOUN
bracis-19040	75	23	:	:	PUNCT
bracis-19040	75	24	definition	definition	NOUN
bracis-19040	75	25	4	4	NUM
bracis-19040	75	26	(	(	PUNCT
bracis-19040	75	27	argument	argument	NOUN
bracis-19040	75	28	)	)	PUNCT
bracis-19040	75	29	.	.	PUNCT
bracis-19040	76	1	an	an	DET
bracis-19040	76	2	argument	argument	NOUN
bracis-19040	76	3	a	a	PRON
bracis-19040	76	4	on	on	ADP
bracis-19040	76	5	the	the	DET
bracis-19040	76	6	basis	basis	NOUN
bracis-19040	76	7	of	of	ADP
bracis-19040	76	8	an	an	DET
bracis-19040	76	9	argumentation	argumentation	NOUN
bracis-19040	76	10	theory	theory	NOUN
bracis-19040	76	11	\	\	PROPN
bracis-19040	76	12	(	(	PUNCT
bracis-19040	76	13	(	(	PUNCT
bracis-19040	76	14	as	as	ADP
bracis-19040	76	15	,	,	PUNCT
bracis-19040	76	16	\mathcal	\mathcal	PROPN
bracis-19040	76	17	k)\	k)\	NOUN
bracis-19040	76	18	)	)	PUNCT
bracis-19040	76	19	and	and	CCONJ
bracis-19040	76	20	an	an	DET
bracis-19040	76	21	argumentation	argumentation	NOUN
bracis-19040	76	22	system	system	NOUN
bracis-19040	76	23	\((\mathcal	\((\mathcal	PROPN
bracis-19040	76	24	l,^-	l,^-	PROPN
bracis-19040	76	25	,	,	PUNCT
bracis-19040	76	26	\mathcal	\mathcal	PROPN
bracis-19040	76	27	r	r	NOUN
bracis-19040	76	28	,	,	PUNCT
bracis-19040	76	29	n)\	n)\	NUM
bracis-19040	76	30	)	)	PUNCT
bracis-19040	76	31	is	be	AUX
bracis-19040	76	32	1	1	NUM
bracis-19040	76	33	.	.	PUNCT
bracis-19040	76	34	\(\phi	\(\phi	ADJ
bracis-19040	76	35	\	\	NOUN
bracis-19040	76	36	)	)	PUNCT
bracis-19040	76	37	if	if	SCONJ
bracis-19040	76	38	\(\phi	\(\phi	ADJ
bracis-19040	76	39	\in	\in	PROPN
bracis-19040	76	40	\mathcal	\mathcal	PROPN
bracis-19040	76	41	k\	k\	PROPN
bracis-19040	76	42	)	)	PUNCT
bracis-19040	77	1	with	with	SCONJ
bracis-19040	77	2	\(\mathtt	\(\mathtt	NOUN
bracis-19040	77	3	{	{	PUNCT
bracis-19040	77	4	prem}(a	prem}(a	NOUN
bracis-19040	77	5	)	)	PUNCT
bracis-19040	77	6	=	=	SYM
bracis-19040	77	7	\left\	\left\	PROPN
bracis-19040	77	8	{	{	PUNCT
bracis-19040	77	9	\phi	\phi	PROPN
bracis-19040	77	10	\right\	\right\	ADJ
bracis-19040	77	11	}	}	PUNCT
bracis-19040	77	12	\	\	NOUN
bracis-19040	77	13	)	)	PUNCT
bracis-19040	77	14	,	,	PUNCT
bracis-19040	77	15	\(\mathtt	\(\mathtt	VERB
bracis-19040	77	16	{	{	PUNCT
bracis-19040	77	17	conc}(a	conc}(a	PROPN
bracis-19040	77	18	)	)	PUNCT
bracis-19040	77	19	=	=	PUNCT
bracis-19040	77	20	\phi	\phi	PROPN
bracis-19040	77	21	\	\	NOUN
bracis-19040	77	22	)	)	PUNCT
bracis-19040	77	23	,	,	PUNCT
bracis-19040	77	24	\(\mathtt	\(\mathtt	VERB
bracis-19040	77	25	{	{	PUNCT
bracis-19040	77	26	sub}(a	sub}(a	ADJ
bracis-19040	77	27	)	)	PUNCT
bracis-19040	77	28	=	=	SYM
bracis-19040	77	29	\left\	\left\	PROPN
bracis-19040	77	30	{	{	PUNCT
bracis-19040	77	31	\phi	\phi	PROPN
bracis-19040	77	32	\right\	\right\	ADJ
bracis-19040	77	33	}	}	PUNCT
bracis-19040	77	34	\	\	NOUN
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bracis-19040	77	36	,	,	PUNCT
bracis-19040	77	37	\(\mathtt	\(\mathtt	VERB
bracis-19040	77	38	{	{	PUNCT
bracis-19040	77	39	defr}(a	defr}(a	PROPN
bracis-19040	77	40	)	)	PUNCT
bracis-19040	77	41	=	=	PUNCT
bracis-19040	77	42	\emptyset	\emptyset	VERB
bracis-19040	77	43	\	\	NOUN
bracis-19040	77	44	)	)	PUNCT
bracis-19040	77	45	,	,	PUNCT
bracis-19040	77	46	\(\mathtt	\(\mathtt	VERB
bracis-19040	77	47	{	{	PUNCT
bracis-19040	77	48	rules}(a	rules}(a	PROPN
bracis-19040	77	49	)	)	PUNCT
bracis-19040	77	50	=	=	PUNCT
bracis-19040	77	51	\emptyset	\emptyset	VERB
bracis-19040	77	52	\	\	NOUN
bracis-19040	77	53	)	)	PUNCT
bracis-19040	77	54	,	,	PUNCT
bracis-19040	77	55	\(\mathtt	\(\mathtt	VERB
bracis-19040	77	56	{	{	PUNCT
bracis-19040	77	57	toprule}(a	toprule}(a	NOUN
bracis-19040	77	58	)	)	PUNCT
bracis-19040	77	59	=	=	SYM
bracis-19040	77	60	\textit{undefined}\	\textit{undefined}\	NOUN
bracis-19040	77	61	)	)	PUNCT
bracis-19040	77	62	.	.	PUNCT
bracis-19040	78	1	2	2	X
bracis-19040	78	2	.	.	X
bracis-19040	78	3	\(a_1	\(a_1	NUM
bracis-19040	78	4	,	,	PUNCT
bracis-19040	78	5	\ldots	\ldots	PROPN
bracis-19040	78	6	,	,	PUNCT
bracis-19040	78	7	a_n	a_n	PROPN
bracis-19040	78	8	\rightarrow	\rightarrow	NOUN
bracis-19040	78	9	\psi	\psi	PROPN
bracis-19040	78	10	\	\	NOUN
bracis-19040	78	11	)	)	PUNCT
bracis-19040	78	12	if	if	SCONJ
bracis-19040	78	13	\(a_1	\(a_1	NUM
bracis-19040	78	14	,	,	PUNCT
bracis-19040	78	15	\ldots	\ldots	PROPN
bracis-19040	78	16	,	,	PUNCT
bracis-19040	78	17	a_n\	a_n\	PROPN
bracis-19040	78	18	)	)	PUNCT
bracis-19040	78	19	are	be	AUX
bracis-19040	78	20	arguments	argument	NOUN
bracis-19040	78	21	s.t	s.t	PROPN
bracis-19040	78	22	.	.	PUNCT
bracis-19040	79	1	there	there	PRON
bracis-19040	79	2	is	be	VERB
bracis-19040	79	3	a	a	DET
bracis-19040	79	4	strict	strict	ADJ
bracis-19040	79	5	rule	rule	NOUN
bracis-19040	79	6	\(\mathtt	\(\mathtt	NOUN
bracis-19040	79	7	{	{	PUNCT
bracis-19040	79	8	conc}(a_1	conc}(a_1	NOUN
bracis-19040	79	9	)	)	PUNCT
bracis-19040	79	10	,	,	PUNCT
bracis-19040	79	11	\ldots	\ldots	PROPN
bracis-19040	79	12	,	,	PUNCT
bracis-19040	79	13	\mathtt	\mathtt	PROPN
bracis-19040	79	14	{	{	PUNCT
bracis-19040	79	15	conc}(a_n	conc}(a_n	PROPN
bracis-19040	79	16	)	)	PUNCT
bracis-19040	79	17	\rightarrow	\rightarrow	PROPN
bracis-19040	79	18	\psi	\psi	PROPN
bracis-19040	79	19	\in	\in	PROPN
bracis-19040	79	20	\mathcal	\mathcal	ADJ
bracis-19040	79	21	r_s\	r_s\	NOUN
bracis-19040	79	22	)	)	PUNCT
bracis-19040	79	23	;	;	PUNCT
bracis-19040	79	24	\(\mathtt	\(\mathtt	NOUN
bracis-19040	79	25	{	{	PUNCT
bracis-19040	79	26	prem}(a	prem}(a	NOUN
bracis-19040	79	27	)	)	PUNCT
bracis-19040	79	28	=	=	SYM
bracis-19040	79	29	\mathtt	\mathtt	X
bracis-19040	79	30	{	{	PUNCT
bracis-19040	79	31	prem}(a_1	prem}(a_1	NOUN
bracis-19040	79	32	)	)	PUNCT
bracis-19040	79	33	\cup	\cup	VERB
bracis-19040	79	34	\cdots	\cdot	NOUN
bracis-19040	79	35	\cup	\cup	VERB
bracis-19040	79	36	\mathtt	\mathtt	PROPN
bracis-19040	79	37	{	{	PUNCT
bracis-19040	79	38	prem}(a_n)\	prem}(a_n)\	PROPN
bracis-19040	79	39	)	)	PUNCT
bracis-19040	79	40	;	;	PUNCT
bracis-19040	79	41	\(\mathtt	\(\mathtt	NOUN
bracis-19040	79	42	{	{	PUNCT
bracis-19040	79	43	conc}(a	conc}(a	PROPN
bracis-19040	79	44	)	)	PUNCT
bracis-19040	79	45	=	=	PUNCT
bracis-19040	79	46	\psi	\psi	PROPN
bracis-19040	79	47	\	\	PROPN
bracis-19040	79	48	)	)	PUNCT
bracis-19040	79	49	;	;	PUNCT
bracis-19040	79	50	\(\mathtt	\(\mathtt	NOUN
bracis-19040	79	51	{	{	PUNCT
bracis-19040	79	52	sub}(a	sub}(a	ADJ
bracis-19040	79	53	)	)	PUNCT
bracis-19040	79	54	=	=	SYM
bracis-19040	79	55	\mathtt	\mathtt	X
bracis-19040	79	56	{	{	PUNCT
bracis-19040	79	57	sub}(a_1	sub}(a_1	NOUN
bracis-19040	79	58	)	)	PUNCT
bracis-19040	79	59	\cup	\cup	VERB
bracis-19040	79	60	\cdots	\cdot	NOUN
bracis-19040	79	61	\cup	\cup	VERB
bracis-19040	79	62	\mathtt	\mathtt	PROPN
bracis-19040	79	63	{	{	PUNCT
bracis-19040	79	64	sub}(a_n	sub}(a_n	NOUN
bracis-19040	79	65	)	)	PUNCT
bracis-19040	79	66	\cup	\cup	VERB
bracis-19040	79	67	\left\	\left\	PROPN
bracis-19040	79	68	{	{	PUNCT
bracis-19040	79	69	a\right\	a\right\	NOUN
bracis-19040	79	70	}	}	PUNCT
bracis-19040	79	71	\	\	NOUN
bracis-19040	79	72	)	)	PUNCT
bracis-19040	79	73	;	;	PUNCT
bracis-19040	79	74	\(\mathtt	\(\mathtt	NOUN
bracis-19040	79	75	{	{	PUNCT
bracis-19040	79	76	rules}(a	rules}(a	PROPN
bracis-19040	79	77	)	)	PUNCT
bracis-19040	79	78	=	=	SYM
bracis-19040	79	79	\mathtt	\mathtt	X
bracis-19040	79	80	{	{	PUNCT
bracis-19040	79	81	rules}(a_1	rules}(a_1	NOUN
bracis-19040	79	82	)	)	PUNCT
bracis-19040	79	83	\cup	\cup	VERB
bracis-19040	79	84	\cdots	\cdot	NOUN
bracis-19040	79	85	\cup	\cup	VERB
bracis-19040	79	86	\mathtt	\mathtt	PROPN
bracis-19040	79	87	{	{	PUNCT
bracis-19040	79	88	rules}(a_n	rules}(a_n	PROPN
bracis-19040	79	89	)	)	PUNCT
bracis-19040	79	90	\cup	\cup	VERB
bracis-19040	79	91	\left\	\left\	PROPN
bracis-19040	79	92	{	{	PUNCT
bracis-19040	79	93	\mathtt	\mathtt	X
bracis-19040	79	94	{	{	PUNCT
bracis-19040	79	95	conc}(a_1	conc}(a_1	NOUN
bracis-19040	79	96	)	)	PUNCT
bracis-19040	79	97	,	,	PUNCT
bracis-19040	79	98	\ldots	\ldots	PROPN
bracis-19040	79	99	,	,	PUNCT
bracis-19040	79	100	\mathtt	\mathtt	PROPN
bracis-19040	79	101	{	{	PUNCT
bracis-19040	79	102	conc}(a_n	conc}(a_n	PROPN
bracis-19040	79	103	)	)	PUNCT
bracis-19040	79	104	\rightarrow	\rightarrow	PROPN
bracis-19040	79	105	\psi	\psi	PROPN
bracis-19040	79	106	\right\	\right\	ADV
bracis-19040	79	107	}	}	PUNCT
bracis-19040	79	108	\	\	NOUN
bracis-19040	79	109	)	)	PUNCT
bracis-19040	79	110	;	;	PUNCT
bracis-19040	79	111	\(\mathtt	\(\mathtt	NOUN
bracis-19040	79	112	{	{	PUNCT
bracis-19040	79	113	toprule}(a	toprule}(a	NOUN
bracis-19040	79	114	)	)	PUNCT
bracis-19040	79	115	=	=	SYM
bracis-19040	79	116	\mathtt	\mathtt	X
bracis-19040	79	117	{	{	PUNCT
bracis-19040	79	118	conc}(a_1	conc}(a_1	NOUN
bracis-19040	79	119	)	)	PUNCT
bracis-19040	79	120	,	,	PUNCT
bracis-19040	79	121	\ldots	\ldots	PROPN
bracis-19040	79	122	,	,	PUNCT
bracis-19040	79	123	\mathtt	\mathtt	PROPN
bracis-19040	79	124	{	{	PUNCT
bracis-19040	79	125	conc}(a_n	conc}(a_n	PROPN
bracis-19040	79	126	)	)	PUNCT
bracis-19040	79	127	\rightarrow	\rightarrow	PROPN
bracis-19040	79	128	\psi	\psi	PROPN
bracis-19040	79	129	\	\	PROPN
bracis-19040	79	130	)	)	PUNCT
bracis-19040	79	131	.	.	PUNCT
bracis-19040	80	1	3	3	X
bracis-19040	80	2	.	.	X
bracis-19040	80	3	\(a_1	\(a_1	NUM
bracis-19040	80	4	,	,	PUNCT
bracis-19040	80	5	\ldots	\ldots	PROPN
bracis-19040	80	6	,	,	PUNCT
bracis-19040	80	7	a_n	a_n	PROPN
bracis-19040	81	1	\rightarrow	\rightarrow	PROPN
bracis-19040	81	2	\psi	\psi	NOUN
bracis-19040	81	3	?	?	PUNCT
bracis-19040	82	1	\	\	NOUN
bracis-19040	82	2	)	)	PUNCT
bracis-19040	82	3	if	if	SCONJ
bracis-19040	82	4	\(a_1	\(a_1	NUM
bracis-19040	82	5	,	,	PUNCT
bracis-19040	82	6	\ldots	\ldots	PROPN
bracis-19040	82	7	,	,	PUNCT
bracis-19040	82	8	a_n\	a_n\	PROPN
bracis-19040	82	9	)	)	PUNCT
bracis-19040	82	10	are	be	AUX
bracis-19040	82	11	arguments	argument	NOUN
bracis-19040	82	12	such	such	ADJ
bracis-19040	82	13	that	that	SCONJ
bracis-19040	82	14	there	there	PRON
bracis-19040	82	15	exists	exist	VERB
bracis-19040	82	16	a	a	DET
bracis-19040	82	17	defeasible	defeasible	ADJ
bracis-19040	82	18	rule	rule	NOUN
bracis-19040	82	19	\(\mathtt	\(\mathtt	NOUN
bracis-19040	82	20	{	{	PUNCT
bracis-19040	82	21	conc}(a_1	conc}(a_1	NOUN
bracis-19040	82	22	)	)	PUNCT
bracis-19040	82	23	,	,	PUNCT
bracis-19040	82	24	\ldots	\ldots	PROPN
bracis-19040	82	25	,	,	PUNCT
bracis-19040	82	26	\mathtt	\mathtt	PROPN
bracis-19040	82	27	{	{	PUNCT
bracis-19040	82	28	conc}(a_n	conc}(a_n	PROPN
bracis-19040	82	29	)	)	PUNCT
bracis-19040	82	30	\rightarrow	\rightarrow	PROPN
bracis-19040	82	31	\psi	\psi	PROPN
bracis-19040	82	32	?	?	PUNCT
bracis-19040	83	1	\in	\in	PROPN
bracis-19040	83	2	\mathcal	\mathcal	PROPN
bracis-19040	83	3	r_d\	r_d\	PROPN
bracis-19040	83	4	)	)	PUNCT
bracis-19040	84	1	;	;	PUNCT
bracis-19040	84	2	\(\mathtt	\(\mathtt	NOUN
bracis-19040	84	3	{	{	PUNCT
bracis-19040	84	4	prem}(a	prem}(a	NOUN
bracis-19040	84	5	)	)	PUNCT
bracis-19040	84	6	=	=	SYM
bracis-19040	84	7	\mathtt	\mathtt	X
bracis-19040	84	8	{	{	PUNCT
bracis-19040	84	9	prem}(a_1	prem}(a_1	NOUN
bracis-19040	84	10	)	)	PUNCT
bracis-19040	84	11	\cup	\cup	VERB
bracis-19040	84	12	\cdots	\cdot	NOUN
bracis-19040	84	13	\cup	\cup	VERB
bracis-19040	84	14	\mathtt	\mathtt	PROPN
bracis-19040	84	15	{	{	PUNCT
bracis-19040	84	16	prem}(a_n)\	prem}(a_n)\	PROPN
bracis-19040	84	17	)	)	PUNCT
bracis-19040	84	18	;	;	PUNCT
bracis-19040	84	19	\(\mathtt	\(\mathtt	NOUN
bracis-19040	84	20	{	{	PUNCT
bracis-19040	84	21	conc}(a	conc}(a	PROPN
bracis-19040	84	22	)	)	PUNCT
bracis-19040	84	23	=	=	SYM
bracis-19040	84	24	\psi	\psi	NOUN
bracis-19040	84	25	?	?	PUNCT
bracis-19040	84	26	\	\	NOUN
bracis-19040	84	27	)	)	PUNCT
bracis-19040	84	28	;	;	PUNCT
bracis-19040	84	29	\(\mathtt	\(\mathtt	NOUN
bracis-19040	84	30	{	{	PUNCT
bracis-19040	84	31	sub}(a	sub}(a	ADJ
bracis-19040	84	32	)	)	PUNCT
bracis-19040	84	33	=	=	SYM
bracis-19040	84	34	\mathtt	\mathtt	X
bracis-19040	84	35	{	{	PUNCT
bracis-19040	84	36	sub}(a_1	sub}(a_1	NOUN
bracis-19040	84	37	)	)	PUNCT
bracis-19040	84	38	\cup	\cup	VERB
bracis-19040	84	39	\cdots	\cdot	NOUN
bracis-19040	84	40	\cup	\cup	VERB
bracis-19040	84	41	\mathtt	\mathtt	PROPN
bracis-19040	84	42	{	{	PUNCT
bracis-19040	84	43	sub}(a_n	sub}(a_n	NOUN
bracis-19040	84	44	)	)	PUNCT
bracis-19040	84	45	\cup	\cup	VERB
bracis-19040	84	46	\left\	\left\	PROPN
bracis-19040	84	47	{	{	PUNCT
bracis-19040	84	48	a\right\	a\right\	NOUN
bracis-19040	84	49	}	}	PUNCT
bracis-19040	84	50	\	\	NOUN
bracis-19040	84	51	)	)	PUNCT
bracis-19040	84	52	;	;	PUNCT
bracis-19040	84	53	\(\mathtt	\(\mathtt	NOUN
bracis-19040	84	54	{	{	PUNCT
bracis-19040	84	55	rules}(a	rules}(a	PROPN
bracis-19040	84	56	)	)	PUNCT
bracis-19040	84	57	=	=	SYM
bracis-19040	84	58	\mathtt	\mathtt	X
bracis-19040	84	59	{	{	PUNCT
bracis-19040	84	60	rules}(a_1	rules}(a_1	NOUN
bracis-19040	84	61	)	)	PUNCT
bracis-19040	84	62	\cup	\cup	VERB
bracis-19040	84	63	\cdots	\cdot	NOUN
bracis-19040	84	64	\cup	\cup	VERB
bracis-19040	84	65	\mathtt	\mathtt	PROPN
bracis-19040	84	66	{	{	PUNCT
bracis-19040	84	67	rules}(a_n	rules}(a_n	PROPN
bracis-19040	84	68	)	)	PUNCT
bracis-19040	84	69	\cup	\cup	VERB
bracis-19040	84	70	\left\	\left\	PROPN
bracis-19040	84	71	{	{	PUNCT
bracis-19040	84	72	\mathtt	\mathtt	X
bracis-19040	84	73	{	{	PUNCT
bracis-19040	84	74	conc}(a_1	conc}(a_1	NOUN
bracis-19040	84	75	)	)	PUNCT
bracis-19040	84	76	,	,	PUNCT
bracis-19040	84	77	\ldots	\ldots	PROPN
bracis-19040	84	78	,	,	PUNCT
bracis-19040	84	79	\mathtt	\mathtt	PROPN
bracis-19040	84	80	{	{	PUNCT
bracis-19040	84	81	conc}(a_n	conc}(a_n	PROPN
bracis-19040	84	82	)	)	PUNCT
bracis-19040	84	83	\rightarrow	\rightarrow	PROPN
bracis-19040	84	84	\psi	\psi	PROPN
bracis-19040	84	85	?	?	PUNCT
bracis-19040	84	86	\right\	\right\	ADJ
bracis-19040	84	87	}	}	PUNCT
bracis-19040	84	88	\	\	NOUN
bracis-19040	84	89	)	)	PUNCT
bracis-19040	84	90	;	;	PUNCT
bracis-19040	84	91	\(\mathtt	\(\mathtt	NOUN
bracis-19040	84	92	{	{	PUNCT
bracis-19040	84	93	toprule}(a	toprule}(a	NOUN
bracis-19040	84	94	)	)	PUNCT
bracis-19040	84	95	=	=	SYM
bracis-19040	84	96	\mathtt	\mathtt	X
bracis-19040	84	97	{	{	PUNCT
bracis-19040	84	98	conc}(a_1	conc}(a_1	NOUN
bracis-19040	84	99	)	)	PUNCT
bracis-19040	84	100	,	,	PUNCT
bracis-19040	84	101	\ldots	\ldots	PROPN
bracis-19040	84	102	,	,	PUNCT
bracis-19040	84	103	\mathtt	\mathtt	PROPN
bracis-19040	84	104	{	{	PUNCT
bracis-19040	84	105	conc}(a_n	conc}(a_n	PROPN
bracis-19040	84	106	)	)	PUNCT
bracis-19040	84	107	\rightarrow	\rightarrow	PROPN
bracis-19040	84	108	\psi	\psi	PROPN
bracis-19040	84	109	?	?	PUNCT
bracis-19040	84	110	\	\	NOUN
bracis-19040	84	111	)	)	PUNCT
bracis-19040	84	112	.	.	PUNCT
bracis-19040	85	1	for	for	ADP
bracis-19040	85	2	any	any	DET
bracis-19040	85	3	argument	argument	NOUN
bracis-19040	85	4	a	a	PRON
bracis-19040	85	5	we	we	PRON
bracis-19040	85	6	define	define	VERB
bracis-19040	85	7	\(\mathtt	\(\mathtt	NOUN
bracis-19040	85	8	{	{	PUNCT
bracis-19040	85	9	prem}_n(a	prem}_n(a	NOUN
bracis-19040	85	10	)	)	PUNCT
bracis-19040	85	11	=	=	PUNCT
bracis-19040	85	12	\mathtt	\mathtt	X
bracis-19040	85	13	{	{	PUNCT
bracis-19040	85	14	prem}(a	prem}(a	PROPN
bracis-19040	85	15	)	)	PUNCT
bracis-19040	85	16	\cap	\cap	PROPN
bracis-19040	85	17	\mathcal	\mathcal	PROPN
bracis-19040	85	18	k_n\	k_n\	PROPN
bracis-19040	85	19	)	)	PUNCT
bracis-19040	85	20	;	;	PUNCT
bracis-19040	85	21	\(\mathtt	\(\mathtt	VERB
bracis-19040	85	22	{	{	PUNCT
bracis-19040	85	23	prem}_p(a	prem}_p(a	NOUN
bracis-19040	85	24	)	)	PUNCT
bracis-19040	85	25	=	=	SYM
bracis-19040	85	26	\mathtt	\mathtt	X
bracis-19040	85	27	{	{	PUNCT
bracis-19040	85	28	prem}(a	prem}(a	PROPN
bracis-19040	85	29	)	)	PUNCT
bracis-19040	85	30	\cap	\cap	PROPN
bracis-19040	85	31	\mathcal	\mathcal	PROPN
bracis-19040	85	32	k_p\	k_p\	PROPN
bracis-19040	85	33	)	)	PUNCT
bracis-19040	85	34	;	;	PUNCT
bracis-19040	86	1	\(\mathtt	\(\mathtt	NOUN
bracis-19040	86	2	{	{	PUNCT
bracis-19040	86	3	defr}(a	defr}(a	PROPN
bracis-19040	86	4	)	)	PUNCT
bracis-19040	86	5	=	=	SYM
bracis-19040	86	6	\left\	\left\	PROPN
bracis-19040	86	7	{	{	PUNCT
bracis-19040	86	8	r	r	NOUN
bracis-19040	86	9	\in	\in	PROPN
bracis-19040	86	10	\mathcal	\mathcal	PROPN
bracis-19040	86	11	r_d\mid	r_d\mid	NOUN
bracis-19040	86	12	r	r	PROPN
bracis-19040	86	13	\in	\in	PROPN
bracis-19040	86	14	\mathtt	\mathtt	PROPN
bracis-19040	86	15	{	{	PUNCT
bracis-19040	86	16	rules}(a)\right\	rules}(a)\right\	NOUN
bracis-19040	86	17	}	}	PUNCT
bracis-19040	86	18	\	\	NOUN
bracis-19040	86	19	)	)	PUNCT
bracis-19040	86	20	and	and	CCONJ
bracis-19040	86	21	\(\mathtt	\(\mathtt	NOUN
bracis-19040	86	22	{	{	PUNCT
bracis-19040	86	23	str}(a	str}(a	NOUN
bracis-19040	86	24	)	)	PUNCT
bracis-19040	86	25	=	=	SYM
bracis-19040	86	26	\left\	\left\	PROPN
bracis-19040	86	27	{	{	PUNCT
bracis-19040	86	28	r	r	NOUN
bracis-19040	86	29	\in	\in	PROPN
bracis-19040	86	30	\mathcal	\mathcal	PROPN
bracis-19040	86	31	r_s\mid	r_s\mid	ADJ
bracis-19040	86	32	r	r	NOUN
bracis-19040	86	33	\in	\in	PROPN
bracis-19040	86	34	\mathtt	\mathtt	PROPN
bracis-19040	86	35	{	{	PUNCT
bracis-19040	86	36	rules}(a)\right\	rules}(a)\right\	NOUN
bracis-19040	86	37	}	}	PUNCT
bracis-19040	86	38	\	\	NOUN
bracis-19040	86	39	)	)	PUNCT
bracis-19040	86	40	.	.	PUNCT
bracis-19040	87	1	example	example	NOUN
bracis-19040	88	1	1	1	NUM
bracis-19040	88	2	consider	consider	VERB
bracis-19040	88	3	the	the	DET
bracis-19040	88	4	argumentation	argumentation	NOUN
bracis-19040	88	5	system	system	NOUN
bracis-19040	88	6	\	\	PROPN
bracis-19040	88	7	(	(	PUNCT
bracis-19040	88	8	as	as	ADP
bracis-19040	88	9	=	=	PUNCT
bracis-19040	88	10	(	(	PUNCT
bracis-19040	88	11	\mathcal	\mathcal	PROPN
bracis-19040	88	12	l,^-,\mathcal	l,^-,\mathcal	PROPN
bracis-19040	88	13	r	r	NOUN
bracis-19040	88	14	,	,	PUNCT
bracis-19040	88	15	n)\	n)\	NUM
bracis-19040	88	16	)	)	PUNCT
bracis-19040	88	17	,	,	PUNCT
bracis-19040	88	18	in	in	ADP
bracis-19040	88	19	which	which	PRON
bracis-19040	88	20	\(\mathcal	\(\mathcal	ADJ
bracis-19040	88	21	l=	l=	ADJ
bracis-19040	88	22	\mathcal	\mathcal	PROPN
bracis-19040	88	23	l^	l^	PROPN
bracis-19040	88	24	*	*	PUNCT
bracis-19040	88	25	\cup	\cup	PROPN
bracis-19040	88	26	\mathcal	\mathcal	ADJ
bracis-19040	88	27	l^?\	l^?\	PROPN
bracis-19040	88	28	)	)	PUNCT
bracis-19040	88	29	with	with	ADP
bracis-19040	88	30	\(\mathcal	\(\mathcal	ADJ
bracis-19040	88	31	l^	l^	PROPN
bracis-19040	88	32	*	*	X
bracis-19040	88	33	=	=	SYM
bracis-19040	88	34	\{a	\{a	PROPN
bracis-19040	88	35	,	,	PUNCT
bracis-19040	88	36	b	b	NOUN
bracis-19040	88	37	,	,	PUNCT
bracis-19040	88	38	f	f	PROPN
bracis-19040	88	39	,	,	PUNCT
bracis-19040	88	40	w	w	PROPN
bracis-19040	88	41	,	,	PUNCT
bracis-19040	88	42	\lnot	\lnot	PROPN
bracis-19040	88	43	a	a	PRON
bracis-19040	88	44	,	,	PUNCT
bracis-19040	88	45	\lnot	\lnot	PROPN
bracis-19040	88	46	b	b	PROPN
bracis-19040	88	47	,	,	PUNCT
bracis-19040	88	48	\lnot	\lnot	PROPN
bracis-19040	88	49	f	f	PROPN
bracis-19040	88	50	,	,	PUNCT
bracis-19040	88	51	\lnot	\lnot	PROPN
bracis-19040	88	52	w	w	PROPN
bracis-19040	88	53	,	,	PUNCT
bracis-19040	88	54	{	{	PUNCT
bracis-19040	88	55	\sim	\sim	NOUN
bracis-19040	88	56	a	a	X
bracis-19040	88	57	}	}	PUNCT
bracis-19040	88	58	,	,	PUNCT
bracis-19040	88	59	{	{	PUNCT
bracis-19040	88	60	\sim	\sim	NOUN
bracis-19040	88	61	b	b	PROPN
bracis-19040	88	62	}	}	PUNCT
bracis-19040	88	63	,	,	PUNCT
bracis-19040	88	64	{	{	PUNCT
bracis-19040	88	65	\sim	\sim	NOUN
bracis-19040	88	66	f	f	X
bracis-19040	88	67	}	}	PUNCT
bracis-19040	88	68	,	,	PUNCT
bracis-19040	88	69	{	{	PUNCT
bracis-19040	88	70	\sim	\sim	NOUN
bracis-19040	88	71	w	w	PROPN
bracis-19040	88	72	}	}	PUNCT
bracis-19040	88	73	,	,	PUNCT
bracis-19040	88	74	{	{	PUNCT
bracis-19040	88	75	\sim	\sim	NOUN
bracis-19040	88	76	\lnot	\lnot	PROPN
bracis-19040	88	77	a	a	PRON
bracis-19040	88	78	}	}	PUNCT
bracis-19040	88	79	,	,	PUNCT
bracis-19040	88	80	{	{	PUNCT
bracis-19040	88	81	\sim	\sim	NOUN
bracis-19040	88	82	\lnot	\lnot	PROPN
bracis-19040	88	83	b	b	PROPN
bracis-19040	88	84	}	}	PUNCT
bracis-19040	88	85	,	,	PUNCT
bracis-19040	88	86	{	{	PUNCT
bracis-19040	88	87	\sim	\sim	NOUN
bracis-19040	88	88	\lnot	\lnot	PROPN
bracis-19040	88	89	f	f	PROPN
bracis-19040	88	90	}	}	PUNCT
bracis-19040	88	91	,	,	PUNCT
bracis-19040	88	92	{	{	PUNCT
bracis-19040	88	93	\sim	\sim	NOUN
bracis-19040	88	94	\lnot	\lnot	PROPN
bracis-19040	88	95	w}\}\	w}\}\	PROPN
bracis-19040	88	96	)	)	PUNCT
bracis-19040	88	97	.	.	PUNCT
bracis-19040	89	1	the	the	DET
bracis-19040	89	2	symbols	symbol	NOUN
bracis-19040	89	3	\(\lnot	\(\lnot	ADV
bracis-19040	89	4	\	\	PROPN
bracis-19040	89	5	)	)	PUNCT
bracis-19040	89	6	and	and	CCONJ
bracis-19040	89	7	\(\sim	\(\sim	NOUN
bracis-19040	89	8	\	\	X
bracis-19040	89	9	)	)	PUNCT
bracis-19040	89	10	respectively	respectively	ADV
bracis-19040	89	11	denote	denote	VERB
bracis-19040	89	12	strong	strong	ADJ
bracis-19040	89	13	and	and	CCONJ
bracis-19040	89	14	weak	weak	ADJ
bracis-19040	89	15	negation	negation	NOUN
bracis-19040	89	16	.	.	PUNCT
bracis-19040	90	1	for	for	ADP
bracis-19040	90	2	any	any	DET
bracis-19040	90	3	\(\phi	\(\phi	ADJ
bracis-19040	90	4	\in	\in	PROPN
bracis-19040	90	5	\mathcal	\mathcal	PROPN
bracis-19040	90	6	l^*\	l^*\	PROPN
bracis-19040	90	7	)	)	PUNCT
bracis-19040	90	8	and	and	CCONJ
bracis-19040	90	9	any	any	PRON
bracis-19040	90	10	\(\psi	\(\psi	NOUN
bracis-19040	90	11	\in	\in	PROPN
bracis-19040	90	12	\mathcal	\mathcal	NOUN
bracis-19040	90	13	l\	l\	PROPN
bracis-19040	90	14	)	)	PUNCT
bracis-19040	90	15	,	,	PUNCT
bracis-19040	90	16	(	(	PUNCT
bracis-19040	90	17	1	1	X
bracis-19040	90	18	)	)	PUNCT
bracis-19040	90	19	\(\phi	\(\phi	ADJ
bracis-19040	90	20	\in	\in	ADJ
bracis-19040	90	21	\overline{\psi	\overline{\psi	PROPN
bracis-19040	90	22	}	}	PUNCT
bracis-19040	90	23	\	\	NOUN
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bracis-19040	90	25	iff	iff	PROPN
bracis-19040	90	26	(	(	PUNCT
bracis-19040	90	27	a	a	NOUN
bracis-19040	90	28	)	)	PUNCT
bracis-19040	90	29	\(\psi	\(\psi	NOUN
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bracis-19040	90	31	\lnot	\lnot	PROPN
bracis-19040	90	32	\phi	\phi	PROPN
bracis-19040	90	33	\	\	NOUN
bracis-19040	90	34	)	)	PUNCT
bracis-19040	90	35	or	or	CCONJ
bracis-19040	90	36	\(\psi	\(\psi	AUX
bracis-19040	90	37	=	=	SYM
bracis-19040	90	38	\lnot	\lnot	PROPN
bracis-19040	90	39	\phi	\phi	PROPN
bracis-19040	90	40	?	?	PUNCT
bracis-19040	90	41	\	\	NOUN
bracis-19040	90	42	)	)	PUNCT
bracis-19040	90	43	or	or	CCONJ
bracis-19040	90	44	\(\phi	\(\phi	NOUN
bracis-19040	90	45	=	=	SYM
bracis-19040	90	46	\lnot	\lnot	PROPN
bracis-19040	90	47	\psi	\psi	PROPN
bracis-19040	90	48	\	\	NOUN
bracis-19040	90	49	)	)	PUNCT
bracis-19040	90	50	or	or	CCONJ
bracis-19040	90	51	(	(	PUNCT
bracis-19040	90	52	\(\phi	\(\phi	NOUN
bracis-19040	90	53	=	=	SYM
bracis-19040	90	54	\lnot	\lnot	PROPN
bracis-19040	90	55	\gamma	\gamma	NUM
bracis-19040	90	56	\	\	NOUN
bracis-19040	90	57	)	)	PUNCT
bracis-19040	90	58	and	and	CCONJ
bracis-19040	90	59	\(\psi	\(\psi	VERB
bracis-19040	90	60	=	=	SYM
bracis-19040	90	61	\gamma	\gamma	PROPN
bracis-19040	90	62	?	?	PUNCT
bracis-19040	90	63	\	\	NOUN
bracis-19040	90	64	)	)	PUNCT
bracis-19040	90	65	)	)	PUNCT
bracis-19040	90	66	;	;	PUNCT
bracis-19040	90	67	or	or	CCONJ
bracis-19040	90	68	(	(	PUNCT
bracis-19040	90	69	b	b	NOUN
bracis-19040	90	70	)	)	PUNCT
bracis-19040	90	71	\(\psi	\(\psi	NOUN
bracis-19040	90	72	=	=	SYM
bracis-19040	90	73	{	{	PUNCT
bracis-19040	90	74	\sim	\sim	NOUN
bracis-19040	90	75	\phi	\phi	PROPN
bracis-19040	90	76	}	}	PUNCT
bracis-19040	90	77	\	\	NOUN
bracis-19040	90	78	)	)	PUNCT
bracis-19040	90	79	or	or	CCONJ
bracis-19040	90	80	(	(	PUNCT
bracis-19040	90	81	\(\psi	\(\psi	NOUN
bracis-19040	90	82	=	=	SYM
bracis-19040	90	83	{	{	PUNCT
bracis-19040	90	84	\sim	\sim	NOUN
bracis-19040	90	85	\phi	\phi	PROPN
bracis-19040	90	86	?	?	PUNCT
bracis-19040	90	87	}	}	PUNCT
bracis-19040	90	88	\	\	NOUN
bracis-19040	90	89	)	)	PUNCT
bracis-19040	90	90	.	.	PUNCT
bracis-19040	91	1	(	(	PUNCT
bracis-19040	91	2	2	2	X
bracis-19040	91	3	)	)	PUNCT
bracis-19040	91	4	\(\phi	\(\phi	NOUN
bracis-19040	91	5	?	?	PUNCT
bracis-19040	92	1	\in	\in	ADJ
bracis-19040	92	2	\overline{\psi	\overline{\psi	PROPN
bracis-19040	92	3	}	}	PUNCT
bracis-19040	92	4	\	\	NOUN
bracis-19040	92	5	)	)	PUNCT
bracis-19040	92	6	iff	iff	PROPN
bracis-19040	92	7	(	(	PUNCT
bracis-19040	92	8	a	a	NOUN
bracis-19040	92	9	)	)	PUNCT
bracis-19040	92	10	\(\psi	\(\psi	NOUN
bracis-19040	92	11	=	=	SYM
bracis-19040	92	12	\lnot	\lnot	PROPN
bracis-19040	92	13	\phi	\phi	PROPN
bracis-19040	92	14	\	\	NOUN
bracis-19040	92	15	)	)	PUNCT
bracis-19040	92	16	or	or	CCONJ
bracis-19040	92	17	\(\phi	\(\phi	NOUN
bracis-19040	92	18	=	=	SYM
bracis-19040	92	19	\lnot	\lnot	PROPN
bracis-19040	92	20	\psi	\psi	PROPN
bracis-19040	92	21	\	\	PROPN
bracis-19040	92	22	)	)	PUNCT
bracis-19040	92	23	;	;	PUNCT
bracis-19040	92	24	or	or	CCONJ
bracis-19040	92	25	(	(	PUNCT
bracis-19040	92	26	b	b	NOUN
bracis-19040	92	27	)	)	PUNCT
bracis-19040	92	28	\(\psi	\(\psi	NOUN
bracis-19040	92	29	=	=	SYM
bracis-19040	92	30	{	{	PUNCT
bracis-19040	92	31	\sim	\sim	NOUN
bracis-19040	92	32	\phi	\phi	PROPN
bracis-19040	92	33	}	}	PUNCT
bracis-19040	92	34	\	\	NOUN
bracis-19040	92	35	)	)	PUNCT
bracis-19040	92	36	.	.	PUNCT
bracis-19040	93	1	\(\mathcal	\(\mathcal	ADJ
bracis-19040	93	2	r_s=	r_s=	NOUN
bracis-19040	93	3	\left\	\left\	PROPN
bracis-19040	93	4	{	{	PUNCT
bracis-19040	93	5	\lnot	\lnot	PROPN
bracis-19040	93	6	f	f	PROPN
bracis-19040	93	7	\rightarrow	\rightarrow	PROPN
bracis-19040	93	8	\lnot	\lnot	PROPN
bracis-19040	93	9	w	w	PROPN
bracis-19040	93	10	;	;	PUNCT
bracis-19040	93	11	b	b	X
bracis-19040	93	12	\rightarrow	\rightarrow	PROPN
bracis-19040	93	13	a\right\	a\right\	PROPN
bracis-19040	93	14	}	}	PUNCT
bracis-19040	93	15	\	\	NOUN
bracis-19040	93	16	)	)	PUNCT
bracis-19040	93	17	and	and	CCONJ
bracis-19040	93	18	\(\mathcal	\(\mathcal	ADJ
bracis-19040	93	19	r_d=	r_d=	NOUN
bracis-19040	93	20	\left\	\left\	PROPN
bracis-19040	93	21	{	{	PUNCT
bracis-19040	93	22	a	a	DET
bracis-19040	93	23	\rightarrow	\rightarrow	PROPN
bracis-19040	93	24	\lnot	\lnot	PROPN
bracis-19040	93	25	f	f	PROPN
bracis-19040	93	26	?	?	PUNCT
bracis-19040	93	27	;	;	PUNCT
bracis-19040	93	28	b	b	X
bracis-19040	93	29	,	,	PUNCT
bracis-19040	93	30	{	{	PUNCT
bracis-19040	93	31	\sim	\sim	NOUN
bracis-19040	93	32	\lnot	\lnot	PROPN
bracis-19040	93	33	w	w	PROPN
bracis-19040	93	34	}	}	PUNCT
bracis-19040	93	35	\rightarrow	\rightarrow	PROPN
bracis-19040	93	36	w	w	PROPN
bracis-19040	93	37	?	?	PUNCT
bracis-19040	93	38	;	;	PUNCT
bracis-19040	93	39	\lnot	\lnot	PROPN
bracis-19040	93	40	f	f	X
bracis-19040	93	41	?	?	PUNCT
bracis-19040	94	1	\rightarrow	\rightarrow	PROPN
bracis-19040	94	2	\lnot	\lnot	PROPN
bracis-19040	94	3	w?\right\	w?\right\	NOUN
bracis-19040	94	4	}	}	PUNCT
bracis-19040	94	5	\	\	NOUN
bracis-19040	94	6	)	)	PUNCT
bracis-19040	94	7	.	.	PUNCT
bracis-19040	95	1	let	let	VERB
bracis-19040	95	2	\(\mathcal	\(\mathcal	ADJ
bracis-19040	95	3	k\	k\	NOUN
bracis-19040	95	4	)	)	PUNCT
bracis-19040	95	5	be	be	AUX
bracis-19040	95	6	the	the	DET
bracis-19040	95	7	knowledge	knowledge	NOUN
bracis-19040	95	8	base	base	NOUN
bracis-19040	95	9	such	such	ADJ
bracis-19040	95	10	that	that	SCONJ
bracis-19040	95	11	\(\mathcal	\(\mathcal	ADJ
bracis-19040	95	12	k_n=	k_n=	NOUN
bracis-19040	95	13	\emptyset	\emptyset	VERB
bracis-19040	95	14	\	\	NOUN
bracis-19040	95	15	)	)	PUNCT
bracis-19040	95	16	and	and	CCONJ
bracis-19040	95	17	\(\mathcal	\(\mathcal	ADJ
bracis-19040	95	18	k_p=	k_p=	NOUN
bracis-19040	95	19	\left\	\left\	PROPN
bracis-19040	95	20	{	{	PUNCT
bracis-19040	95	21	b	b	NOUN
bracis-19040	95	22	,	,	PUNCT
bracis-19040	95	23	{	{	PUNCT
bracis-19040	95	24	\sim	\sim	NOUN
bracis-19040	95	25	\lnot	\lnot	PROPN
bracis-19040	95	26	w}\right\	w}\right\	PROPN
bracis-19040	95	27	}	}	PUNCT
bracis-19040	95	28	\	\	NOUN
bracis-19040	95	29	)	)	PUNCT
bracis-19040	95	30	.	.	PUNCT
bracis-19040	96	1	the	the	DET
bracis-19040	96	2	arguments	argument	NOUN
bracis-19040	96	3	defined	define	VERB
bracis-19040	96	4	on	on	ADP
bracis-19040	96	5	the	the	DET
bracis-19040	96	6	basis	basis	NOUN
bracis-19040	96	7	of	of	ADP
bracis-19040	96	8	\(\mathcal	\(\mathcal	ADJ
bracis-19040	96	9	k\	k\	NOUN
bracis-19040	96	10	)	)	PUNCT
bracis-19040	96	11	and	and	CCONJ
bracis-19040	96	12	\	\	PROPN
bracis-19040	96	13	(	(	PUNCT
bracis-19040	96	14	as	as	ADP
bracis-19040	96	15	\	\	NOUN
bracis-19040	96	16	)	)	PUNCT
bracis-19040	96	17	are	be	AUX
bracis-19040	96	18	\(a_1	\(a_1	NOUN
bracis-19040	96	19	=	=	PUNCT
bracis-19040	97	1	[	[	X
bracis-19040	97	2	b]\	b]\	X
bracis-19040	97	3	)	)	PUNCT
bracis-19040	97	4	,	,	PUNCT
bracis-19040	97	5	\(a_2	\(a_2	PROPN
bracis-19040	97	6	=	=	PUNCT
bracis-19040	98	1	[	[	X
bracis-19040	98	2	{	{	PUNCT
bracis-19040	98	3	\sim	\sim	PROPN
bracis-19040	98	4	\lnot	\lnot	PROPN
bracis-19040	98	5	w}]\	w}]\	PROPN
bracis-19040	98	6	)	)	PUNCT
bracis-19040	98	7	,	,	PUNCT
bracis-19040	98	8	\(a_3	\(a_3	PROPN
bracis-19040	98	9	=	=	PUNCT
bracis-19040	99	1	[	[	X
bracis-19040	99	2	a_1	a_1	X
bracis-19040	99	3	\rightarrow	\rightarrow	PROPN
bracis-19040	99	4	a]\	a]\	NOUN
bracis-19040	99	5	)	)	PUNCT
bracis-19040	99	6	,	,	PUNCT
bracis-19040	99	7	\(a_4	\(a_4	PROPN
bracis-19040	99	8	=	=	PUNCT
bracis-19040	100	1	[	[	X
bracis-19040	100	2	a_3	a_3	PROPN
bracis-19040	100	3	\rightarrow	\rightarrow	PROPN
bracis-19040	100	4	\lnot	\lnot	PROPN
bracis-19040	100	5	f?]\	f?]\	NUM
bracis-19040	100	6	)	)	PUNCT
bracis-19040	100	7	,	,	PUNCT
bracis-19040	100	8	\(a_5	\(a_5	PROPN
bracis-19040	100	9	=	=	PUNCT
bracis-19040	101	1	[	[	X
bracis-19040	101	2	a_1	a_1	NOUN
bracis-19040	101	3	,	,	PUNCT
bracis-19040	101	4	a_2	a_2	PROPN
bracis-19040	101	5	\rightarrow	\rightarrow	PROPN
bracis-19040	101	6	w?]\	w?]\	NOUN
bracis-19040	101	7	)	)	PUNCT
bracis-19040	101	8	and	and	CCONJ
bracis-19040	101	9	\(a_6	\(a_6	PROPN
bracis-19040	101	10	=	=	PUNCT
bracis-19040	102	1	[	[	X
bracis-19040	102	2	a_4	a_4	ADV
bracis-19040	102	3	\rightarrow	\rightarrow	PROPN
bracis-19040	102	4	\lnot	\lnot	PROPN
bracis-19040	102	5	w?]\	w?]\	NOUN
bracis-19040	102	6	)	)	PUNCT
bracis-19040	102	7	.	.	PUNCT
bracis-19040	103	1	an	an	DET
bracis-19040	103	2	argument	argument	NOUN
bracis-19040	103	3	a	a	PRON
bracis-19040	103	4	is	be	AUX
bracis-19040	103	5	for	for	ADP
bracis-19040	103	6	\(\phi	\(\phi	ADJ
bracis-19040	103	7	\	\	NOUN
bracis-19040	103	8	)	)	PUNCT
bracis-19040	103	9	if	if	SCONJ
bracis-19040	103	10	\(\mathtt	\(\mathtt	NOUN
bracis-19040	103	11	{	{	PUNCT
bracis-19040	103	12	conc}(a	conc}(a	PROPN
bracis-19040	103	13	)	)	PUNCT
bracis-19040	103	14	=	=	PUNCT
bracis-19040	103	15	\phi	\phi	PROPN
bracis-19040	103	16	\	\	NOUN
bracis-19040	103	17	)	)	PUNCT
bracis-19040	103	18	;	;	PUNCT
bracis-19040	103	19	it	it	PRON
bracis-19040	103	20	is	be	AUX
bracis-19040	103	21	strict	strict	ADJ
bracis-19040	103	22	if	if	SCONJ
bracis-19040	103	23	\(\mathtt	\(\mathtt	NOUN
bracis-19040	103	24	{	{	PUNCT
bracis-19040	103	25	defr}(a	defr}(a	PROPN
bracis-19040	103	26	)	)	PUNCT
bracis-19040	103	27	=	=	PUNCT
bracis-19040	104	1	\emptyset	\emptyset	VERB
bracis-19040	104	2	\	\	NOUN
bracis-19040	104	3	)	)	PUNCT
bracis-19040	104	4	;	;	PUNCT
bracis-19040	104	5	defeasible	defeasible	ADJ
bracis-19040	104	6	if	if	SCONJ
bracis-19040	104	7	\(\mathtt	\(\mathtt	NOUN
bracis-19040	104	8	{	{	PUNCT
bracis-19040	104	9	defr}(a	defr}(a	PROPN
bracis-19040	104	10	)	)	PUNCT
bracis-19040	104	11	\ne	\ne	PROPN
bracis-19040	104	12	\emptyset	\emptyset	VERB
bracis-19040	104	13	\	\	PROPN
bracis-19040	104	14	)	)	PUNCT
bracis-19040	104	15	;	;	PUNCT
bracis-19040	104	16	firm	firm	ADJ
bracis-19040	104	17	if	if	SCONJ
bracis-19040	104	18	\(\mathtt	\(\mathtt	NOUN
bracis-19040	104	19	{	{	PUNCT
bracis-19040	104	20	prem}(a	prem}(a	NOUN
bracis-19040	104	21	)	)	PUNCT
bracis-19040	104	22	\subseteq	\subseteq	PROPN
bracis-19040	104	23	\mathcal	\mathcal	PROPN
bracis-19040	104	24	k_n\	k_n\	PROPN
bracis-19040	104	25	)	)	PUNCT
bracis-19040	104	26	;	;	PUNCT
bracis-19040	104	27	plausible	plausible	ADJ
bracis-19040	104	28	if	if	SCONJ
bracis-19040	104	29	\(\mathtt	\(\mathtt	NOUN
bracis-19040	104	30	{	{	PUNCT
bracis-19040	104	31	prem}(a	prem}(a	NOUN
bracis-19040	104	32	)	)	PUNCT
bracis-19040	104	33	\cap	\cap	PROPN
bracis-19040	104	34	\mathcal	\mathcal	PROPN
bracis-19040	104	35	k_p	k_p	X
bracis-19040	104	36	\ne	\ne	PROPN
bracis-19040	104	37	\emptyset	\emptyset	VERB
bracis-19040	104	38	\	\	NOUN
bracis-19040	104	39	)	)	PUNCT
bracis-19040	104	40	.	.	PUNCT
bracis-19040	105	1	an	an	DET
bracis-19040	105	2	argument	argument	NOUN
bracis-19040	105	3	is	be	AUX
bracis-19040	105	4	fallible	fallible	ADJ
bracis-19040	105	5	if	if	SCONJ
bracis-19040	105	6	it	it	PRON
bracis-19040	105	7	is	be	AUX
bracis-19040	105	8	defeasible	defeasible	ADJ
bracis-19040	105	9	or	or	CCONJ
bracis-19040	105	10	plausible	plausible	ADJ
bracis-19040	105	11	and	and	CCONJ
bracis-19040	105	12	infallible	infallible	ADJ
bracis-19040	105	13	otherwise	otherwise	ADV
bracis-19040	105	14	.	.	PUNCT
bracis-19040	106	1	we	we	PRON
bracis-19040	106	2	write	write	VERB
bracis-19040	106	3	\(s	\(	NOUN
bracis-19040	106	4	\vdash	\vdash	PROPN
bracis-19040	106	5	\phi	\phi	PROPN
bracis-19040	106	6	\	\	NOUN
bracis-19040	106	7	)	)	PUNCT
bracis-19040	106	8	if	if	SCONJ
bracis-19040	106	9	there	there	PRON
bracis-19040	106	10	is	be	VERB
bracis-19040	106	11	a	a	DET
bracis-19040	106	12	strict	strict	ADJ
bracis-19040	106	13	argument	argument	NOUN
bracis-19040	106	14	for	for	ADP
bracis-19040	106	15	\(\phi	\(\phi	ADJ
bracis-19040	106	16	\	\	NOUN
bracis-19040	106	17	)	)	PUNCT
bracis-19040	106	18	with	with	ADP
bracis-19040	106	19	all	all	DET
bracis-19040	106	20	premises	premise	NOUN
bracis-19040	106	21	taken	take	VERB
bracis-19040	106	22	from	from	ADP
bracis-19040	106	23	s	s	PROPN
bracis-19040	106	24	,	,	PUNCT
bracis-19040	106	25	and	and	CCONJ
bracis-19040	106	26	if	if	SCONJ
bracis-19040	106	27	there	there	PRON
bracis-19040	106	28	is	be	VERB
bracis-19040	106	29	a	a	DET
bracis-19040	106	30	defeasible	defeasible	ADJ
bracis-19040	106	31	argument	argument	NOUN
bracis-19040	106	32	for	for	ADP
bracis-19040	106	33	\(\phi	\(\phi	ADJ
bracis-19040	106	34	\	\	NOUN
bracis-19040	106	35	)	)	PUNCT
bracis-19040	106	36	with	with	SCONJ
bracis-19040	106	37	all	all	DET
bracis-19040	106	38	premises	premise	NOUN
bracis-19040	106	39	taken	take	VERB
bracis-19040	106	40	from	from	ADP
bracis-19040	106	41	s.	s.	PROPN
bracis-19040	106	42	the	the	DET
bracis-19040	106	43	next	next	ADJ
bracis-19040	106	44	definition	definition	NOUN
bracis-19040	106	45	will	will	AUX
bracis-19040	106	46	be	be	AUX
bracis-19040	106	47	repeatedly	repeatedly	ADV
bracis-19040	106	48	employed	employ	VERB
bracis-19040	106	49	in	in	ADP
bracis-19040	106	50	sect	sect	NOUN
bracis-19040	106	51	.	.	PUNCT
bracis-19040	106	52	 	 	SPACE
bracis-19040	107	1	3	3	NUM
bracis-19040	107	2	:	:	PUNCT
bracis-19040	107	3	definition	definition	NOUN
bracis-19040	107	4	5	5	NUM
bracis-19040	107	5	let	let	VERB
bracis-19040	107	6	\	\	PROPN
bracis-19040	107	7	(	(	PUNCT
bracis-19040	107	8	at	at	ADP
bracis-19040	107	9	=	=	PUNCT
bracis-19040	107	10	(	(	PUNCT
bracis-19040	107	11	as	as	ADP
bracis-19040	107	12	,	,	PUNCT
bracis-19040	107	13	\mathcal	\mathcal	PROPN
bracis-19040	107	14	k)\	k)\	NOUN
bracis-19040	107	15	)	)	PUNCT
bracis-19040	107	16	be	be	VERB
bracis-19040	107	17	an	an	DET
bracis-19040	107	18	argumentation	argumentation	NOUN
bracis-19040	107	19	theory	theory	NOUN
bracis-19040	107	20	with	with	ADP
bracis-19040	107	21	argumentation	argumentation	NOUN
bracis-19040	107	22	system	system	NOUN
bracis-19040	107	23	\	\	PROPN
bracis-19040	107	24	(	(	PUNCT
bracis-19040	107	25	as	as	ADP
bracis-19040	107	26	=	=	PUNCT
bracis-19040	107	27	(	(	PUNCT
bracis-19040	107	28	\mathcal	\mathcal	PROPN
bracis-19040	107	29	l,^-	l,^-	PROPN
bracis-19040	107	30	,	,	PUNCT
bracis-19040	107	31	\mathcal	\mathcal	PROPN
bracis-19040	107	32	r	r	NOUN
bracis-19040	107	33	,	,	PUNCT
bracis-19040	107	34	n)\	n)\	NUM
bracis-19040	107	35	)	)	PUNCT
bracis-19040	107	36	.	.	PUNCT
bracis-19040	108	1	for	for	ADP
bracis-19040	108	2	a	a	DET
bracis-19040	108	3	formula	formula	NOUN
bracis-19040	108	4	\(\phi	\(\phi	NOUN
bracis-19040	108	5	\in	\in	PROPN
bracis-19040	108	6	\mathcal	\mathcal	PROPN
bracis-19040	108	7	l\	l\	PROPN
bracis-19040	108	8	)	)	PUNCT
bracis-19040	108	9	,	,	PUNCT
bracis-19040	108	10	we	we	PRON
bracis-19040	108	11	define	define	VERB
bracis-19040	108	12	\(\texttt	\(\texttt	NOUN
bracis-19040	108	13	{	{	PUNCT
bracis-19040	108	14	atoms}(\phi	atoms}(\phi	NUM
bracis-19040	108	15	)	)	PUNCT
bracis-19040	108	16	=	=	SYM
bracis-19040	109	1	\left\	\left\	PROPN
bracis-19040	109	2	{	{	PUNCT
bracis-19040	109	3	a	a	DET
bracis-19040	109	4	\mid	\mid	NOUN
bracis-19040	109	5	a	a	DET
bracis-19040	109	6	\textit	\textit	NOUN
bracis-19040	109	7	{	{	PUNCT
bracis-19040	109	8	is	be	AUX
bracis-19040	109	9	an	an	DET
bracis-19040	109	10	atom	atom	NOUN
bracis-19040	109	11	occurring	occur	VERB
bracis-19040	109	12	in	in	ADP
bracis-19040	109	13	}	}	PUNCT
bracis-19040	109	14	\phi	\phi	PROPN
bracis-19040	109	15	\right\	\right\	ADJ
bracis-19040	109	16	}	}	PUNCT
bracis-19040	109	17	\	\	NOUN
bracis-19040	109	18	)	)	PUNCT
bracis-19040	109	19	.	.	PUNCT
bracis-19040	110	1	for	for	ADP
bracis-19040	110	2	a	a	DET
bracis-19040	110	3	set	set	NOUN
bracis-19040	110	4	\(\mathcal	\(\mathcal	ADJ
bracis-19040	110	5	f	f	X
bracis-19040	110	6	\subseteq	\subseteq	PROPN
bracis-19040	110	7	\mathcal	\mathcal	PROPN
bracis-19040	110	8	l\	l\	PROPN
bracis-19040	110	9	)	)	PUNCT
bracis-19040	110	10	of	of	ADP
bracis-19040	110	11	formulas	formula	NOUN
bracis-19040	110	12	in	in	ADP
bracis-19040	110	13	\(\mathcal	\(\mathcal	ADJ
bracis-19040	110	14	l\	l\	NOUN
bracis-19040	110	15	)	)	PUNCT
bracis-19040	110	16	,	,	PUNCT
bracis-19040	110	17	we	we	PRON
bracis-19040	110	18	define	define	VERB
bracis-19040	110	19	\(\texttt	\(\texttt	NOUN
bracis-19040	110	20	{	{	PUNCT
bracis-19040	110	21	atoms}(\mathcal	atoms}(\mathcal	PROPN
bracis-19040	110	22	f	f	NOUN
bracis-19040	110	23	)	)	PUNCT
bracis-19040	110	24	=	=	VERB
bracis-19040	110	25	\bigcup	\bigcup	PROPN
bracis-19040	110	26	_	_	PRON
bracis-19040	110	27	{	{	PUNCT
bracis-19040	110	28	\phi	\phi	PROPN
bracis-19040	110	29	\in	\in	PROPN
bracis-19040	110	30	\mathcal	\mathcal	PROPN
bracis-19040	110	31	f	f	NOUN
bracis-19040	110	32	}	}	PUNCT
bracis-19040	110	33	\texttt	\texttt	PROPN
bracis-19040	110	34	{	{	PUNCT
bracis-19040	110	35	atoms}(\phi	atoms}(\phi	NUM
bracis-19040	110	36	)	)	PUNCT
bracis-19040	110	37	\	\	NOUN
bracis-19040	110	38	)	)	PUNCT
bracis-19040	110	39	;	;	PUNCT
bracis-19040	110	40	furthermore	furthermore	ADV
bracis-19040	110	41	,	,	PUNCT
bracis-19040	110	42	for	for	ADP
bracis-19040	110	43	a	a	DET
bracis-19040	110	44	set	set	NOUN
bracis-19040	110	45	of	of	ADP
bracis-19040	110	46	atoms	atom	NOUN
bracis-19040	110	47	\(\mathfrak	\(\mathfrak	PROPN
bracis-19040	110	48	a\	a\	NOUN
bracis-19040	110	49	)	)	PUNCT
bracis-19040	110	50	,	,	PUNCT
bracis-19040	110	51	\(\mathcal	\(\mathcal	NOUN
bracis-19040	110	52	f_{\mid	f_{\mid	ADJ
bracis-19040	110	53	\mathfrak	\mathfrak	ADP
bracis-19040	110	54	a	a	PRON
bracis-19040	110	55	}	}	PUNCT
bracis-19040	110	56	=	=	SYM
bracis-19040	110	57	\left\	\left\	PROPN
bracis-19040	110	58	{	{	PUNCT
bracis-19040	110	59	\phi	\phi	PROPN
bracis-19040	110	60	\in	\in	PROPN
bracis-19040	110	61	\mathcal	\mathcal	PROPN
bracis-19040	110	62	f	f	NOUN
bracis-19040	110	63	\mid	\mid	ADP
bracis-19040	110	64	\phi	\phi	PROPN
bracis-19040	110	65	\textit	\textit	PROPN
bracis-19040	110	66	{	{	PUNCT
bracis-19040	110	67	contains	contain	VERB
bracis-19040	110	68	only	only	ADJ
bracis-19040	110	69	atoms	atom	NOUN
bracis-19040	110	70	in	in	ADP
bracis-19040	110	71	}	}	PUNCT
bracis-19040	110	72	\mathfrak	\mathfrak	ADP
bracis-19040	110	73	a\right\	a\right\	NOUN
bracis-19040	110	74	}	}	PUNCT
bracis-19040	110	75	\	\	NOUN
bracis-19040	110	76	)	)	PUNCT
bracis-19040	110	77	.	.	PUNCT
bracis-19040	111	1	for	for	ADP
bracis-19040	111	2	a	a	DET
bracis-19040	111	3	strict	strict	ADJ
bracis-19040	111	4	rule	rule	NOUN
bracis-19040	111	5	\(s	\(	NOUN
bracis-19040	111	6	=	=	PUNCT
bracis-19040	111	7	\phi	\phi	PROPN
bracis-19040	111	8	_	_	NOUN
bracis-19040	111	9	1	1	NUM
bracis-19040	111	10	,	,	PUNCT
bracis-19040	111	11	\ldots	\ldots	INTJ
bracis-19040	111	12	,	,	PUNCT
bracis-19040	111	13	\phi	\phi	PROPN
bracis-19040	111	14	_	_	NOUN
bracis-19040	111	15	n	n	PRON
bracis-19040	111	16	\rightarrow	\rightarrow	PROPN
bracis-19040	111	17	\varpsi	\varpsi	NOUN
bracis-19040	111	18	\	\	PROPN
bracis-19040	111	19	)	)	PUNCT
bracis-19040	111	20	,	,	PUNCT
bracis-19040	111	21	we	we	PRON
bracis-19040	111	22	define	define	VERB
bracis-19040	111	23	\(\texttt	\(\texttt	NOUN
bracis-19040	111	24	{	{	PUNCT
bracis-19040	111	25	atoms}(s	atoms}(s	NOUN
bracis-19040	111	26	)	)	PUNCT
bracis-19040	112	1	=	=	SYM
bracis-19040	112	2	\texttt	\texttt	PROPN
bracis-19040	112	3	{	{	PUNCT
bracis-19040	112	4	atoms}(\left\	atoms}(\left\	NOUN
bracis-19040	112	5	{	{	PUNCT
bracis-19040	112	6	\phi	\phi	PROPN
bracis-19040	112	7	_	_	NOUN
bracis-19040	112	8	1	1	NUM
bracis-19040	112	9	,	,	PUNCT
bracis-19040	112	10	\ldots	\ldots	INTJ
bracis-19040	112	11	,	,	PUNCT
bracis-19040	112	12	\phi	\phi	PROPN
bracis-19040	112	13	_	_	NOUN
bracis-19040	112	14	n	n	CCONJ
bracis-19040	112	15	,	,	PUNCT
bracis-19040	112	16	\psi	\psi	PROPN
bracis-19040	112	17	\right\	\right\	ADV
bracis-19040	112	18	}	}	PUNCT
bracis-19040	112	19	)	)	PUNCT
bracis-19040	112	20	\	\	PROPN
bracis-19040	112	21	)	)	PUNCT
bracis-19040	112	22	.	.	PUNCT
bracis-19040	113	1	for	for	ADP
bracis-19040	113	2	a	a	DET
bracis-19040	113	3	defeasible	defeasible	ADJ
bracis-19040	113	4	rule	rule	NOUN
bracis-19040	113	5	\(d	\(d	NOUN
bracis-19040	113	6	=	=	PUNCT
bracis-19040	113	7	\phi	\phi	PROPN
bracis-19040	113	8	_	_	NOUN
bracis-19040	113	9	1	1	NUM
bracis-19040	113	10	,	,	PUNCT
bracis-19040	113	11	\ldots	\ldots	INTJ
bracis-19040	113	12	,	,	PUNCT
bracis-19040	113	13	\phi	\phi	PROPN
bracis-19040	113	14	_	_	NOUN
bracis-19040	113	15	n	n	PRON
bracis-19040	113	16	\rightarrow	\rightarrow	PROPN
bracis-19040	113	17	\varpsi	\varpsi	NOUN
bracis-19040	113	18	\	\	PROPN
bracis-19040	113	19	)	)	PUNCT
bracis-19040	113	20	,	,	PUNCT
bracis-19040	113	21	we	we	PRON
bracis-19040	113	22	define	define	VERB
bracis-19040	113	23	\(\texttt	\(\texttt	NOUN
bracis-19040	113	24	{	{	PUNCT
bracis-19040	113	25	atoms}(d	atoms}(d	NOUN
bracis-19040	113	26	)	)	PUNCT
bracis-19040	114	1	=	=	SYM
bracis-19040	114	2	\texttt	\texttt	PROPN
bracis-19040	114	3	{	{	PUNCT
bracis-19040	114	4	atoms}(\left\	atoms}(\left\	NOUN
bracis-19040	114	5	{	{	PUNCT
bracis-19040	114	6	\phi	\phi	PROPN
bracis-19040	114	7	_	_	NOUN
bracis-19040	114	8	1	1	NUM
bracis-19040	114	9	,	,	PUNCT
bracis-19040	114	10	\ldots	\ldots	INTJ
bracis-19040	114	11	,	,	PUNCT
bracis-19040	114	12	\phi	\phi	PROPN
bracis-19040	114	13	_	_	NOUN
bracis-19040	114	14	n	n	CCONJ
bracis-19040	114	15	,	,	PUNCT
bracis-19040	114	16	\psi	\psi	PROPN
bracis-19040	114	17	\right\	\right\	ADV
bracis-19040	114	18	}	}	PUNCT
bracis-19040	114	19	)	)	PUNCT
bracis-19040	114	20	\	\	PROPN
bracis-19040	114	21	)	)	PUNCT
bracis-19040	114	22	.	.	PUNCT
bracis-19040	115	1	for	for	ADP
bracis-19040	115	2	a	a	DET
bracis-19040	115	3	set	set	ADJ
bracis-19040	115	4	\(\mathcal	\(\mathcal	ADJ
bracis-19040	115	5	s	s	X
bracis-19040	115	6	=	=	SYM
bracis-19040	115	7	\left\	\left\	PROPN
bracis-19040	115	8	{	{	PUNCT
bracis-19040	115	9	s_1	s_1	NOUN
bracis-19040	115	10	,	,	PUNCT
bracis-19040	115	11	\ldots	\ldot	NOUN
bracis-19040	115	12	,	,	PUNCT
bracis-19040	115	13	s_n\right\	s_n\right\	ADJ
bracis-19040	115	14	}	}	PUNCT
bracis-19040	115	15	\	\	NOUN
bracis-19040	115	16	)	)	PUNCT
bracis-19040	115	17	of	of	ADP
bracis-19040	115	18	strict	strict	ADJ
bracis-19040	115	19	rules	rule	NOUN
bracis-19040	115	20	,	,	PUNCT
bracis-19040	115	21	we	we	PRON
bracis-19040	115	22	define	define	VERB
bracis-19040	115	23	\(\texttt	\(\texttt	NOUN
bracis-19040	115	24	{	{	PUNCT
bracis-19040	115	25	atoms}(\mathcal	atoms}(\mathcal	PROPN
bracis-19040	115	26	s	s	PART
bracis-19040	115	27	)	)	PUNCT
bracis-19040	115	28	=	=	SYM
bracis-19040	115	29	\texttt	\texttt	PROPN
bracis-19040	115	30	{	{	PUNCT
bracis-19040	115	31	atoms}(s_1	atoms}(s_1	PROPN
bracis-19040	115	32	)	)	PUNCT
bracis-19040	115	33	\cup	\cup	VERB
bracis-19040	115	34	\cdots	\cdot	NOUN
bracis-19040	115	35	\cup	\cup	VERB
bracis-19040	115	36	\texttt	\texttt	PROPN
bracis-19040	115	37	{	{	PUNCT
bracis-19040	115	38	atoms}(s_n)\	atoms}(s_n)\	PROPN
bracis-19040	115	39	)	)	PUNCT
bracis-19040	115	40	.	.	PUNCT
bracis-19040	116	1	for	for	ADP
bracis-19040	116	2	a	a	DET
bracis-19040	116	3	set	set	ADJ
bracis-19040	116	4	\(\mathcal	\(\mathcal	ADJ
bracis-19040	116	5	d	d	NOUN
bracis-19040	116	6	=	=	SYM
bracis-19040	116	7	\left\	\left\	PROPN
bracis-19040	116	8	{	{	PUNCT
bracis-19040	116	9	d_1	d_1	PROPN
bracis-19040	116	10	,	,	PUNCT
bracis-19040	116	11	\ldots	\ldots	PROPN
bracis-19040	116	12	,	,	PUNCT
bracis-19040	116	13	d_n\right\	d_n\right\	PROPN
bracis-19040	116	14	}	}	PUNCT
bracis-19040	116	15	\	\	NOUN
bracis-19040	116	16	)	)	PUNCT
bracis-19040	116	17	of	of	ADP
bracis-19040	116	18	defeasible	defeasible	ADJ
bracis-19040	116	19	rules	rule	NOUN
bracis-19040	116	20	,	,	PUNCT
bracis-19040	116	21	we	we	PRON
bracis-19040	116	22	define	define	VERB
bracis-19040	116	23	\(\texttt	\(\texttt	NOUN
bracis-19040	116	24	{	{	PUNCT
bracis-19040	116	25	atoms}(\mathcal	atoms}(\mathcal	PROPN
bracis-19040	116	26	d	d	NOUN
bracis-19040	116	27	)	)	PUNCT
bracis-19040	116	28	=	=	SYM
bracis-19040	116	29	\texttt	\texttt	PROPN
bracis-19040	116	30	{	{	PUNCT
bracis-19040	116	31	atoms}(d_1	atoms}(d_1	PROPN
bracis-19040	116	32	)	)	PUNCT
bracis-19040	116	33	\cup	\cup	VERB
bracis-19040	116	34	\cdots	\cdot	NOUN
bracis-19040	116	35	\cup	\cup	VERB
bracis-19040	116	36	\texttt	\texttt	PROPN
bracis-19040	116	37	{	{	PUNCT
bracis-19040	116	38	atoms}(d_n)\	atoms}(d_n)\	PROPN
bracis-19040	116	39	)	)	PUNCT
bracis-19040	116	40	.	.	PUNCT
bracis-19040	117	1	for	for	ADP
bracis-19040	117	2	an	an	DET
bracis-19040	117	3	argumentation	argumentation	NOUN
bracis-19040	117	4	system	system	NOUN
bracis-19040	117	5	\	\	PROPN
bracis-19040	117	6	(	(	PUNCT
bracis-19040	117	7	as	as	ADP
bracis-19040	117	8	=	=	PUNCT
bracis-19040	117	9	(	(	PUNCT
bracis-19040	117	10	\mathcal	\mathcal	PROPN
bracis-19040	117	11	l,^-	l,^-	PROPN
bracis-19040	117	12	,	,	PUNCT
bracis-19040	117	13	\mathcal	\mathcal	PROPN
bracis-19040	117	14	r	r	NOUN
bracis-19040	117	15	,	,	PUNCT
bracis-19040	117	16	n)\	n)\	NUM
bracis-19040	117	17	)	)	PUNCT
bracis-19040	117	18	,	,	PUNCT
bracis-19040	117	19	we	we	PRON
bracis-19040	117	20	define	define	VERB
bracis-19040	117	21	\(\texttt	\(\texttt	NOUN
bracis-19040	117	22	{	{	PUNCT
bracis-19040	117	23	atoms	atom	NOUN
bracis-19040	117	24	}	}	PUNCT
bracis-19040	117	25	(	(	PUNCT
bracis-19040	117	26	as	as	ADP
bracis-19040	117	27	)	)	PUNCT
bracis-19040	117	28	=	=	SYM
bracis-19040	117	29	\texttt	\texttt	PROPN
bracis-19040	117	30	{	{	PUNCT
bracis-19040	117	31	atoms}(\mathcal	atoms}(\mathcal	PROPN
bracis-19040	117	32	r_d	r_d	NUM
bracis-19040	117	33	)	)	PUNCT
bracis-19040	117	34	\cup	\cup	VERB
bracis-19040	117	35	\texttt	\texttt	PROPN
bracis-19040	117	36	{	{	PUNCT
bracis-19040	117	37	atoms}(\left\	atoms}(\left\	NOUN
bracis-19040	117	38	{	{	PUNCT
bracis-19040	117	39	n(r	n(r	NOUN
bracis-19040	117	40	)	)	PUNCT
bracis-19040	117	41	\mid	\mid	SCONJ
bracis-19040	117	42	r	r	NOUN
bracis-19040	117	43	\in	\in	PROPN
bracis-19040	117	44	\mathcal	\mathcal	PROPN
bracis-19040	117	45	r_d\textit	r_d\textit	PROPN
bracis-19040	117	46	{	{	PUNCT
bracis-19040	117	47	and	and	CCONJ
bracis-19040	117	48	}	}	PUNCT
bracis-19040	117	49	n(r	n(r	NUM
bracis-19040	117	50	)	)	PUNCT
bracis-19040	117	51	\textit	\textit	NOUN
bracis-19040	117	52	{	{	PUNCT
bracis-19040	117	53	is	be	AUX
bracis-19040	117	54	defined}\right\	defined}\right\	NOUN
bracis-19040	117	55	}	}	PUNCT
bracis-19040	117	56	)	)	PUNCT
bracis-19040	117	57	\	\	PROPN
bracis-19040	117	58	)	)	PUNCT
bracis-19040	117	59	,	,	PUNCT
bracis-19040	117	60	in	in	ADP
bracis-19040	117	61	which	which	PRON
bracis-19040	117	62	\(\mathcal	\(\mathcal	ADJ
bracis-19040	117	63	r_d\subseteq	r_d\subseteq	PROPN
bracis-19040	117	64	\mathcal	\mathcal	PROPN
bracis-19040	117	65	r\	r\	PROPN
bracis-19040	117	66	)	)	PUNCT
bracis-19040	117	67	is	be	AUX
bracis-19040	117	68	the	the	DET
bracis-19040	117	69	set	set	NOUN
bracis-19040	117	70	of	of	ADP
bracis-19040	117	71	defeasible	defeasible	ADJ
bracis-19040	117	72	rules	rule	NOUN
bracis-19040	117	73	in	in	ADP
bracis-19040	117	74	\(\mathcal	\(\mathcal	ADJ
bracis-19040	117	75	r\	r\	PROPN
bracis-19040	117	76	)	)	PUNCT
bracis-19040	117	77	.	.	PUNCT
bracis-19040	118	1	for	for	ADP
bracis-19040	118	2	an	an	DET
bracis-19040	118	3	argumentation	argumentation	NOUN
bracis-19040	118	4	theory	theory	NOUN
bracis-19040	118	5	\	\	PROPN
bracis-19040	118	6	(	(	PUNCT
bracis-19040	118	7	at	at	ADP
bracis-19040	118	8	=	=	PUNCT
bracis-19040	118	9	(	(	PUNCT
bracis-19040	118	10	as	as	ADP
bracis-19040	118	11	,	,	PUNCT
bracis-19040	118	12	\mathcal	\mathcal	PROPN
bracis-19040	118	13	k)\	k)\	NOUN
bracis-19040	118	14	)	)	PUNCT
bracis-19040	118	15	,	,	PUNCT
bracis-19040	118	16	we	we	PRON
bracis-19040	118	17	define	define	VERB
bracis-19040	118	18	\(\texttt	\(\texttt	NOUN
bracis-19040	118	19	{	{	PUNCT
bracis-19040	118	20	atoms	atom	NOUN
bracis-19040	118	21	}	}	PUNCT
bracis-19040	118	22	(	(	PUNCT
bracis-19040	118	23	at	at	ADP
bracis-19040	118	24	)	)	PUNCT
bracis-19040	119	1	=	=	SYM
bracis-19040	119	2	\texttt	\texttt	PROPN
bracis-19040	119	3	{	{	PUNCT
bracis-19040	119	4	atoms	atom	NOUN
bracis-19040	119	5	}	}	PUNCT
bracis-19040	119	6	(	(	PUNCT
bracis-19040	119	7	as	as	ADP
bracis-19040	119	8	)	)	PUNCT
bracis-19040	119	9	\cup	\cup	VERB
bracis-19040	119	10	\texttt	\texttt	PROPN
bracis-19040	119	11	{	{	PUNCT
bracis-19040	119	12	atoms}(\mathcal	atoms}(\mathcal	PROPN
bracis-19040	119	13	k)\	k)\	NOUN
bracis-19040	119	14	)	)	PUNCT
bracis-19040	119	15	.	.	PUNCT
bracis-19040	120	1	for	for	ADP
bracis-19040	120	2	an	an	DET
bracis-19040	120	3	argument	argument	NOUN
bracis-19040	120	4	a	a	X
bracis-19040	120	5	,	,	PUNCT
bracis-19040	120	6	we	we	PRON
bracis-19040	120	7	define	define	VERB
bracis-19040	120	8	\(\texttt	\(\texttt	NOUN
bracis-19040	120	9	{	{	PUNCT
bracis-19040	120	10	atoms}(a	atoms}(a	ADJ
bracis-19040	120	11	)	)	PUNCT
bracis-19040	120	12	=	=	SYM
bracis-19040	120	13	\texttt	\texttt	PROPN
bracis-19040	120	14	{	{	PUNCT
bracis-19040	120	15	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	120	16	{	{	PUNCT
bracis-19040	120	17	str}(a	str}(a	NOUN
bracis-19040	120	18	)	)	PUNCT
bracis-19040	120	19	)	)	PUNCT
bracis-19040	120	20	\cup	\cup	X
bracis-19040	120	21	\texttt	\texttt	PROPN
bracis-19040	120	22	{	{	PUNCT
bracis-19040	120	23	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	120	24	{	{	PUNCT
bracis-19040	120	25	defr}(a))\	defr}(a))\	NOUN
bracis-19040	120	26	)	)	PUNCT
bracis-19040	120	27	.	.	PUNCT
bracis-19040	121	1	finally	finally	ADV
bracis-19040	121	2	,	,	PUNCT
bracis-19040	121	3	for	for	ADP
bracis-19040	121	4	a	a	DET
bracis-19040	121	5	set	set	ADJ
bracis-19040	121	6	\(\mathcal	\(\mathcal	ADJ
bracis-19040	121	7	a=	a=	NOUN
bracis-19040	121	8	\left\	\left\	PROPN
bracis-19040	121	9	{	{	PUNCT
bracis-19040	121	10	a_1	a_1	NOUN
bracis-19040	121	11	,	,	PUNCT
bracis-19040	121	12	\ldots	\ldots	INTJ
bracis-19040	121	13	,	,	PUNCT
bracis-19040	121	14	a_n\right\	a_n\right\	VERB
bracis-19040	121	15	}	}	PUNCT
bracis-19040	121	16	\	\	NOUN
bracis-19040	121	17	)	)	PUNCT
bracis-19040	121	18	of	of	ADP
bracis-19040	121	19	arguments	argument	NOUN
bracis-19040	121	20	,	,	PUNCT
bracis-19040	121	21	we	we	PRON
bracis-19040	121	22	define	define	VERB
bracis-19040	121	23	\(\texttt	\(\texttt	NOUN
bracis-19040	121	24	{	{	PUNCT
bracis-19040	121	25	atoms}(\mathcal	atoms}(\mathcal	PROPN
bracis-19040	121	26	a	a	NOUN
bracis-19040	121	27	)	)	PUNCT
bracis-19040	121	28	=	=	SYM
bracis-19040	121	29	\texttt	\texttt	PROPN
bracis-19040	121	30	{	{	PUNCT
bracis-19040	121	31	atoms}(a_1	atoms}(a_1	PROPN
bracis-19040	121	32	)	)	PUNCT
bracis-19040	121	33	\cup	\cup	VERB
bracis-19040	121	34	\cdots	\cdot	NOUN
bracis-19040	121	35	\cup	\cup	VERB
bracis-19040	121	36	\texttt	\texttt	PROPN
bracis-19040	121	37	{	{	PUNCT
bracis-19040	121	38	atoms}(a_n)\	atoms}(a_n)\	PROPN
bracis-19040	121	39	)	)	PUNCT
bracis-19040	121	40	.	.	PUNCT
bracis-19040	122	1	let	let	VERB
bracis-19040	122	2	\	\	PROPN
bracis-19040	122	3	(	(	PUNCT
bracis-19040	122	4	at	at	ADP
bracis-19040	122	5	=	=	PUNCT
bracis-19040	122	6	(	(	PUNCT
bracis-19040	122	7	as	as	ADP
bracis-19040	122	8	,	,	PUNCT
bracis-19040	122	9	\mathcal	\mathcal	PROPN
bracis-19040	122	10	k)\	k)\	NOUN
bracis-19040	122	11	)	)	PUNCT
bracis-19040	122	12	be	be	VERB
bracis-19040	122	13	an	an	DET
bracis-19040	122	14	argumentation	argumentation	NOUN
bracis-19040	122	15	theory	theory	NOUN
bracis-19040	122	16	with	with	ADP
bracis-19040	122	17	\	\	PROPN
bracis-19040	122	18	(	(	PUNCT
bracis-19040	122	19	as	as	ADP
bracis-19040	122	20	=	=	SYM
bracis-19040	122	21	(	(	PUNCT
bracis-19040	122	22	\mathcal	\mathcal	PROPN
bracis-19040	122	23	l	l	NOUN
bracis-19040	122	24	,	,	PUNCT
bracis-19040	122	25	^-	^-	NOUN
bracis-19040	122	26	,	,	PUNCT
bracis-19040	122	27	\mathcal	\mathcal	ADJ
bracis-19040	122	28	r	r	NOUN
bracis-19040	122	29	,	,	PUNCT
bracis-19040	122	30	n)\	n)\	NUM
bracis-19040	122	31	)	)	PUNCT
bracis-19040	122	32	,	,	PUNCT
bracis-19040	122	33	and	and	CCONJ
bracis-19040	122	34	\(\mathcal	\(\mathcal	ADJ
bracis-19040	122	35	a\	a\	NOUN
bracis-19040	122	36	)	)	PUNCT
bracis-19040	122	37	the	the	DET
bracis-19040	122	38	set	set	NOUN
bracis-19040	122	39	of	of	ADP
bracis-19040	122	40	all	all	DET
bracis-19040	122	41	arguments	argument	NOUN
bracis-19040	122	42	constructed	construct	VERB
bracis-19040	122	43	from	from	ADP
bracis-19040	122	44	\(\mathcal	\(\mathcal	ADJ
bracis-19040	122	45	k\	k\	NOUN
bracis-19040	122	46	)	)	PUNCT
bracis-19040	122	47	in	in	ADP
bracis-19040	122	48	\	\	PROPN
bracis-19040	122	49	(	(	PUNCT
bracis-19040	122	50	as	as	ADP
bracis-19040	122	51	\	\	NOUN
bracis-19040	122	52	)	)	PUNCT
bracis-19040	122	53	.	.	PUNCT
bracis-19040	123	1	assume	assume	VERB
bracis-19040	123	2	\(\mathcal	\(\mathcal	ADJ
bracis-19040	123	3	k=	k=	X
bracis-19040	123	4	(	(	PUNCT
bracis-19040	123	5	\mathcal	\mathcal	PROPN
bracis-19040	123	6	k_n	k_n	PROPN
bracis-19040	123	7	,	,	PUNCT
bracis-19040	123	8	\mathcal	\mathcal	PROPN
bracis-19040	123	9	k_p)\	k_p)\	NOUN
bracis-19040	123	10	)	)	PUNCT
bracis-19040	123	11	,	,	PUNCT
bracis-19040	123	12	such	such	ADJ
bracis-19040	123	13	that	that	SCONJ
bracis-19040	123	14	\(\mathcal	\(\mathcal	ADJ
bracis-19040	123	15	k_n=	k_n=	NOUN
bracis-19040	123	16	\left\	\left\	PROPN
bracis-19040	123	17	{	{	PUNCT
bracis-19040	123	18	a	a	DET
bracis-19040	123	19	,	,	PUNCT
bracis-19040	123	20	b	b	NOUN
bracis-19040	123	21	,	,	PUNCT
bracis-19040	123	22	c\right\	c\right\	NOUN
bracis-19040	123	23	}	}	PUNCT
bracis-19040	123	24	\	\	NOUN
bracis-19040	123	25	)	)	PUNCT
bracis-19040	123	26	and	and	CCONJ
bracis-19040	123	27	\(\mathcal	\(\mathcal	ADJ
bracis-19040	123	28	k_p=	k_p=	NOUN
bracis-19040	123	29	\emptyset	\emptyset	VERB
bracis-19040	123	30	\	\	NOUN
bracis-19040	123	31	)	)	PUNCT
bracis-19040	123	32	.	.	PUNCT
bracis-19040	124	1	consider	consider	VERB
bracis-19040	124	2	\(\mathcal	\(\mathcal	ADJ
bracis-19040	124	3	r=	r=	ADJ
bracis-19040	124	4	\left\	\left\	PROPN
bracis-19040	124	5	{	{	PUNCT
bracis-19040	124	6	a	a	DET
bracis-19040	124	7	\rightarrow	\rightarrow	PROPN
bracis-19040	124	8	d	d	PROPN
bracis-19040	124	9	,	,	PUNCT
bracis-19040	124	10	b	b	PROPN
bracis-19040	124	11	\rightarrow	\rightarrow	PROPN
bracis-19040	124	12	e\right\	e\right\	PROPN
bracis-19040	124	13	}	}	PUNCT
bracis-19040	124	14	\	\	NOUN
bracis-19040	124	15	)	)	PUNCT
bracis-19040	124	16	.	.	PUNCT
bracis-19040	125	1	the	the	DET
bracis-19040	125	2	resulting	result	VERB
bracis-19040	125	3	arguments	argument	NOUN
bracis-19040	125	4	are	be	AUX
bracis-19040	125	5	\(a	\(a	NOUN
bracis-19040	125	6	=	=	SYM
bracis-19040	125	7	[	[	X
bracis-19040	125	8	a]\	a]\	NOUN
bracis-19040	125	9	)	)	PUNCT
bracis-19040	125	10	,	,	PUNCT
bracis-19040	125	11	\(b=[b]\	\(b=[b]\	NOUN
bracis-19040	125	12	)	)	PUNCT
bracis-19040	125	13	,	,	PUNCT
bracis-19040	125	14	\(c=[c]\	\(c=[c]\	NOUN
bracis-19040	125	15	)	)	PUNCT
bracis-19040	125	16	,	,	PUNCT
bracis-19040	125	17	\(d=[a	\(d=[a	PROPN
bracis-19040	125	18	\rightarrow	\rightarrow	PROPN
bracis-19040	125	19	d]\	d]\	PROPN
bracis-19040	125	20	)	)	PUNCT
bracis-19040	125	21	,	,	PUNCT
bracis-19040	125	22	and	and	CCONJ
bracis-19040	125	23	\(e=[b	\(e=[b	PROPN
bracis-19040	125	24	\rightarrow	\rightarrow	PROPN
bracis-19040	125	25	e]\	e]\	ADV
bracis-19040	125	26	)	)	PUNCT
bracis-19040	125	27	.	.	PUNCT
bracis-19040	126	1	we	we	PRON
bracis-19040	126	2	have	have	VERB
bracis-19040	126	3	\(\texttt	\(\texttt	NOUN
bracis-19040	126	4	{	{	PUNCT
bracis-19040	126	5	atoms}(d	atoms}(d	NOUN
bracis-19040	126	6	)	)	PUNCT
bracis-19040	126	7	=	=	SYM
bracis-19040	127	1	\left\	\left\	PROPN
bracis-19040	127	2	{	{	PUNCT
bracis-19040	127	3	a	a	DET
bracis-19040	127	4	,	,	PUNCT
bracis-19040	127	5	d\right\	d\right\	NOUN
bracis-19040	127	6	}	}	PUNCT
bracis-19040	127	7	\	\	NOUN
bracis-19040	127	8	)	)	PUNCT
bracis-19040	127	9	,	,	PUNCT
bracis-19040	127	10	\(\texttt	\(\texttt	X
bracis-19040	127	11	{	{	PUNCT
bracis-19040	127	12	atoms	atom	NOUN
bracis-19040	127	13	}	}	PUNCT
bracis-19040	127	14	(	(	PUNCT
bracis-19040	127	15	at	at	ADP
bracis-19040	127	16	)	)	PUNCT
bracis-19040	127	17	=	=	SYM
bracis-19040	128	1	\left\	\left\	PROPN
bracis-19040	128	2	{	{	PUNCT
bracis-19040	128	3	a	a	PRON
bracis-19040	128	4	,	,	PUNCT
bracis-19040	128	5	b	b	NOUN
bracis-19040	128	6	,	,	PUNCT
bracis-19040	128	7	c	c	NOUN
bracis-19040	128	8	,	,	PUNCT
bracis-19040	128	9	e\right\	e\right\	NOUN
bracis-19040	128	10	}	}	PUNCT
bracis-19040	128	11	\	\	NOUN
bracis-19040	128	12	)	)	PUNCT
bracis-19040	128	13	.	.	PUNCT
bracis-19040	129	1	note	note	VERB
bracis-19040	129	2	those	those	DET
bracis-19040	129	3	atoms	atom	NOUN
bracis-19040	129	4	occurring	occur	VERB
bracis-19040	129	5	only	only	ADV
bracis-19040	129	6	in	in	ADP
bracis-19040	129	7	the	the	DET
bracis-19040	129	8	strict	strict	ADJ
bracis-19040	129	9	rules	rule	NOUN
bracis-19040	129	10	(	(	PUNCT
bracis-19040	129	11	as	as	ADP
bracis-19040	129	12	d	d	NOUN
bracis-19040	129	13	)	)	PUNCT
bracis-19040	129	14	are	be	AUX
bracis-19040	129	15	not	not	PART
bracis-19040	129	16	considered	consider	VERB
bracis-19040	129	17	as	as	ADP
bracis-19040	129	18	atoms	atom	NOUN
bracis-19040	129	19	in	in	ADP
bracis-19040	129	20	\(\texttt	\(\texttt	NOUN
bracis-19040	129	21	{	{	PUNCT
bracis-19040	129	22	atoms	atom	NOUN
bracis-19040	129	23	}	}	PUNCT
bracis-19040	129	24	(	(	PUNCT
bracis-19040	129	25	at	at	ADP
bracis-19040	129	26	)	)	PUNCT
bracis-19040	129	27	\	\	NOUN
bracis-19040	129	28	)	)	PUNCT
bracis-19040	129	29	.	.	PUNCT
bracis-19040	130	1	2.1	2.1	NUM
bracis-19040	130	2	attacks	attack	NOUN
bracis-19040	130	3	and	and	CCONJ
bracis-19040	130	4	defeats	defeat	NOUN
bracis-19040	130	5	in	in	ADP
bracis-19040	130	6	\	\	PROPN
bracis-19040	130	7	(	(	PUNCT
bracis-19040	130	8	aspic	aspic	NOUN
bracis-19040	130	9	^?\	^?\	NUM
bracis-19040	130	10	)	)	PUNCT
bracis-19040	130	11	arguments	argument	NOUN
bracis-19040	130	12	are	be	AUX
bracis-19040	130	13	related	relate	VERB
bracis-19040	130	14	to	to	ADP
bracis-19040	130	15	each	each	DET
bracis-19040	130	16	other	other	ADJ
bracis-19040	130	17	by	by	ADP
bracis-19040	130	18	attacks	attack	NOUN
bracis-19040	130	19	(	(	PUNCT
bracis-19040	130	20	as	as	ADP
bracis-19040	130	21	in	in	ADP
bracis-19040	130	22	\	\	PROPN
bracis-19040	130	23	(	(	PUNCT
bracis-19040	130	24	aspic	aspic	NOUN
bracis-19040	130	25	^+\	^+\	ADJ
bracis-19040	130	26	)	)	PUNCT
bracis-19040	130	27	)	)	PUNCT
bracis-19040	130	28	and	and	CCONJ
bracis-19040	130	29	by	by	ADP
bracis-19040	130	30	weak	weak	ADJ
bracis-19040	130	31	attacks	attack	NOUN
bracis-19040	130	32	:	:	PUNCT
bracis-19040	130	33	definition	definition	NOUN
bracis-19040	130	34	6	6	NUM
bracis-19040	130	35	(	(	PUNCT
bracis-19040	130	36	attacks	attack	NOUN
bracis-19040	130	37	)	)	PUNCT
bracis-19040	130	38	.	.	PUNCT
bracis-19040	131	1	consider	consider	VERB
bracis-19040	131	2	the	the	DET
bracis-19040	131	3	arguments	argument	NOUN
bracis-19040	131	4	a	a	PRON
bracis-19040	131	5	and	and	CCONJ
bracis-19040	131	6	b.	b.	PROPN
bracis-19040	132	1	we	we	PRON
bracis-19040	132	2	say	say	VERB
bracis-19040	132	3	a	a	DET
bracis-19040	132	4	attacks	attack	NOUN
bracis-19040	132	5	b	b	X
bracis-19040	132	6	iff	iff	PROPN
bracis-19040	132	7	a	a	DET
bracis-19040	132	8	undercuts	undercut	NOUN
bracis-19040	132	9	,	,	PUNCT
bracis-19040	132	10	undermines	undermine	VERB
bracis-19040	132	11	and	and	CCONJ
bracis-19040	132	12	rebuts	rebut	VERB
bracis-19040	132	13	b	b	NOUN
bracis-19040	132	14	,	,	PUNCT
bracis-19040	132	15	in	in	ADP
bracis-19040	132	16	which	which	PRON
bracis-19040	132	17	a	a	DET
bracis-19040	132	18	undercuts	undercut	NOUN
bracis-19040	132	19	b	b	NOUN
bracis-19040	132	20	(	(	PUNCT
bracis-19040	132	21	on	on	ADP
bracis-19040	132	22	\(b'\	\(b'\	NOUN
bracis-19040	132	23	)	)	PUNCT
bracis-19040	132	24	)	)	PUNCT
bracis-19040	133	1	iff	iff	PROPN
bracis-19040	133	2	\(\mathtt	\(\mathtt	VERB
bracis-19040	133	3	{	{	PUNCT
bracis-19040	133	4	conc}(a	conc}(a	PROPN
bracis-19040	133	5	)	)	PUNCT
bracis-19040	133	6	\in	\in	PROPN
bracis-19040	133	7	\overline{n(r)}\	\overline{n(r)}\	PROPN
bracis-19040	133	8	)	)	PUNCT
bracis-19040	133	9	for	for	ADP
bracis-19040	133	10	some	some	DET
bracis-19040	133	11	\(b	\(b	NOUN
bracis-19040	133	12	'	'	PART
bracis-19040	133	13	\in	\in	PROPN
bracis-19040	133	14	\mathtt	\mathtt	PROPN
bracis-19040	133	15	{	{	PUNCT
bracis-19040	133	16	sub}(b)\	sub}(b)\	NOUN
bracis-19040	133	17	)	)	PUNCT
bracis-19040	133	18	such	such	ADJ
bracis-19040	133	19	that	that	SCONJ
bracis-19040	133	20	\(b'\	\(b'\	NOUN
bracis-19040	133	21	)	)	PUNCT
bracis-19040	133	22	’s	’	VERB
bracis-19040	133	23	top	top	ADJ
bracis-19040	133	24	rule	rule	NOUN
bracis-19040	133	25	r	r	NOUN
bracis-19040	133	26	is	be	AUX
bracis-19040	133	27	defeasible	defeasible	ADJ
bracis-19040	133	28	.	.	PUNCT
bracis-19040	134	1	a	a	DET
bracis-19040	134	2	undermines	undermine	NOUN
bracis-19040	134	3	b	b	NOUN
bracis-19040	134	4	(	(	PUNCT
bracis-19040	134	5	on	on	ADP
bracis-19040	134	6	\(\phi	\(\phi	ADJ
bracis-19040	134	7	\	\	NOUN
bracis-19040	134	8	)	)	PUNCT
bracis-19040	134	9	)	)	PUNCT
bracis-19040	135	1	iff	iff	PROPN
bracis-19040	135	2	\(\mathtt	\(\mathtt	VERB
bracis-19040	135	3	{	{	PUNCT
bracis-19040	135	4	conc}(a	conc}(a	PROPN
bracis-19040	135	5	)	)	PUNCT
bracis-19040	135	6	\in	\in	PROPN
bracis-19040	135	7	\overline{\phi	\overline{\phi	ADJ
bracis-19040	135	8	}	}	PUNCT
bracis-19040	135	9	\	\	NOUN
bracis-19040	135	10	)	)	PUNCT
bracis-19040	135	11	and	and	CCONJ
bracis-19040	135	12	\(\phi	\(\phi	ADJ
bracis-19040	135	13	\in	\in	ADJ
bracis-19040	135	14	\mathtt	\mathtt	PROPN
bracis-19040	135	15	{	{	PUNCT
bracis-19040	135	16	prem}_p(b)\	prem}_p(b)\	NUM
bracis-19040	135	17	)	)	PUNCT
bracis-19040	135	18	.	.	PUNCT
bracis-19040	136	1	in	in	ADP
bracis-19040	136	2	such	such	DET
bracis-19040	136	3	a	a	DET
bracis-19040	136	4	case	case	NOUN
bracis-19040	136	5	,	,	PUNCT
bracis-19040	136	6	a	a	DET
bracis-19040	136	7	contrary	contrary	NOUN
bracis-19040	136	8	-	-	PUNCT
bracis-19040	136	9	undermines	undermine	NOUN
bracis-19040	136	10	b	b	PROPN
bracis-19040	136	11	iff	iff	PROPN
bracis-19040	136	12	\(\mathtt	\(\mathtt	VERB
bracis-19040	136	13	{	{	PUNCT
bracis-19040	136	14	conc}(a)\	conc}(a)\	NOUN
bracis-19040	136	15	)	)	PUNCT
bracis-19040	136	16	is	be	AUX
bracis-19040	136	17	a	a	DET
bracis-19040	136	18	contrary	contrary	NOUN
bracis-19040	136	19	of	of	ADP
bracis-19040	136	20	\(\phi	\(\phi	ADJ
bracis-19040	136	21	\	\	NOUN
bracis-19040	136	22	)	)	PUNCT
bracis-19040	136	23	.	.	PUNCT
bracis-19040	137	1	a	a	DET
bracis-19040	137	2	rebuts	rebut	NOUN
bracis-19040	137	3	b	b	NOUN
bracis-19040	137	4	(	(	PUNCT
bracis-19040	137	5	on	on	ADP
bracis-19040	137	6	\(b'\	\(b'\	NOUN
bracis-19040	137	7	)	)	PUNCT
bracis-19040	137	8	)	)	PUNCT
bracis-19040	138	1	iff	iff	PROPN
bracis-19040	138	2	\(\mathtt	\(\mathtt	VERB
bracis-19040	138	3	{	{	PUNCT
bracis-19040	138	4	conc}(a	conc}(a	PROPN
bracis-19040	138	5	)	)	PUNCT
bracis-19040	138	6	\in	\in	PROPN
bracis-19040	138	7	\overline{\phi	\overline{\phi	ADJ
bracis-19040	138	8	?	?	PUNCT
bracis-19040	138	9	}	}	PUNCT
bracis-19040	138	10	\	\	NOUN
bracis-19040	138	11	)	)	PUNCT
bracis-19040	138	12	for	for	ADP
bracis-19040	138	13	some	some	DET
bracis-19040	138	14	\(b	\(b	NOUN
bracis-19040	138	15	'	'	PART
bracis-19040	138	16	\in	\in	PROPN
bracis-19040	138	17	\mathtt	\mathtt	PROPN
bracis-19040	138	18	{	{	PUNCT
bracis-19040	138	19	sub}(b)\	sub}(b)\	NOUN
bracis-19040	138	20	)	)	PUNCT
bracis-19040	138	21	of	of	ADP
bracis-19040	138	22	the	the	DET
bracis-19040	138	23	form	form	NOUN
bracis-19040	138	24	\(b_1'',\ldots	\(b_1'',\ldot	NOUN
bracis-19040	138	25	,	,	PUNCT
bracis-19040	138	26	b_n	b_n	PUNCT
bracis-19040	138	27	''	''	PUNCT
bracis-19040	138	28	\rightarrow	\rightarrow	PROPN
bracis-19040	138	29	\phi	\phi	PROPN
bracis-19040	138	30	?	?	PUNCT
bracis-19040	138	31	\	\	NOUN
bracis-19040	138	32	)	)	PUNCT
bracis-19040	138	33	.	.	PUNCT
bracis-19040	139	1	in	in	ADP
bracis-19040	139	2	such	such	DET
bracis-19040	139	3	a	a	DET
bracis-19040	139	4	case	case	NOUN
bracis-19040	139	5	,	,	PUNCT
bracis-19040	139	6	a	a	DET
bracis-19040	139	7	contrary	contrary	NOUN
bracis-19040	139	8	-	-	PUNCT
bracis-19040	139	9	rebuts	rebut	NOUN
bracis-19040	139	10	b	b	PROPN
bracis-19040	139	11	iff	iff	PROPN
bracis-19040	139	12	\(\mathtt	\(\mathtt	VERB
bracis-19040	139	13	{	{	PUNCT
bracis-19040	139	14	conc}(a)\	conc}(a)\	NOUN
bracis-19040	139	15	)	)	PUNCT
bracis-19040	139	16	is	be	AUX
bracis-19040	139	17	a	a	DET
bracis-19040	139	18	contrary	contrary	NOUN
bracis-19040	139	19	of	of	ADP
bracis-19040	139	20	\(\phi	\(\phi	NOUN
bracis-19040	139	21	?	?	PUNCT
bracis-19040	140	1	\	\	NOUN
bracis-19040	140	2	)	)	PUNCT
bracis-19040	140	3	.	.	PUNCT
bracis-19040	141	1	we	we	PRON
bracis-19040	141	2	say	say	VERB
bracis-19040	141	3	a	a	DET
bracis-19040	141	4	weakly	weakly	ADJ
bracis-19040	141	5	attacks	attack	NOUN
bracis-19040	141	6	b	b	PROPN
bracis-19040	141	7	iff	iff	PROPN
bracis-19040	141	8	a	a	DET
bracis-19040	141	9	weakly	weakly	ADJ
bracis-19040	141	10	undermines	undermine	NOUN
bracis-19040	141	11	or	or	CCONJ
bracis-19040	141	12	weakly	weakly	ADJ
bracis-19040	141	13	rebuts	rebut	NOUN
bracis-19040	141	14	b	b	NOUN
bracis-19040	141	15	,	,	PUNCT
bracis-19040	141	16	in	in	ADP
bracis-19040	141	17	which	which	PRON
bracis-19040	141	18	a	a	DET
bracis-19040	141	19	weakly	weakly	ADJ
bracis-19040	141	20	undermines	undermine	VERB
bracis-19040	141	21	b	b	NOUN
bracis-19040	141	22	(	(	PUNCT
bracis-19040	141	23	on	on	ADP
bracis-19040	141	24	\(\phi	\(\phi	NOUN
bracis-19040	141	25	?	?	PUNCT
bracis-19040	141	26	\	\	NOUN
bracis-19040	141	27	)	)	PUNCT
bracis-19040	141	28	(	(	PUNCT
bracis-19040	141	29	resp	resp	NOUN
bracis-19040	141	30	.	.	PUNCT
bracis-19040	142	1	\(\lnot	\(\lnot	ADV
bracis-19040	142	2	\phi	\phi	PROPN
bracis-19040	142	3	?	?	PUNCT
bracis-19040	142	4	\	\	NOUN
bracis-19040	142	5	)	)	PUNCT
bracis-19040	142	6	)	)	PUNCT
bracis-19040	142	7	)	)	PUNCT
bracis-19040	143	1	iff	iff	PROPN
bracis-19040	143	2	\(\mathtt	\(\mathtt	VERB
bracis-19040	143	3	{	{	PUNCT
bracis-19040	143	4	conc}(a	conc}(a	PROPN
bracis-19040	143	5	)	)	PUNCT
bracis-19040	143	6	=	=	PUNCT
bracis-19040	144	1	\lnot	\lnot	PROPN
bracis-19040	144	2	\phi	\phi	PROPN
bracis-19040	144	3	?	?	PUNCT
bracis-19040	144	4	\	\	NOUN
bracis-19040	144	5	)	)	PUNCT
bracis-19040	144	6	(	(	PUNCT
bracis-19040	144	7	resp	resp	NOUN
bracis-19040	144	8	.	.	PUNCT
bracis-19040	145	1	\(\mathtt	\(\mathtt	NOUN
bracis-19040	145	2	{	{	PUNCT
bracis-19040	145	3	conc}(a	conc}(a	PROPN
bracis-19040	145	4	)	)	PUNCT
bracis-19040	145	5	=	=	PUNCT
bracis-19040	145	6	\phi	\phi	PROPN
bracis-19040	145	7	?	?	PUNCT
bracis-19040	145	8	\	\	NOUN
bracis-19040	145	9	)	)	PUNCT
bracis-19040	145	10	)	)	PUNCT
bracis-19040	145	11	for	for	ADP
bracis-19040	145	12	an	an	DET
bracis-19040	145	13	ordinary	ordinary	ADJ
bracis-19040	145	14	premise	premise	NOUN
bracis-19040	145	15	\(\phi	\(\phi	NOUN
bracis-19040	145	16	?	?	PUNCT
bracis-19040	145	17	\	\	NOUN
bracis-19040	145	18	)	)	PUNCT
bracis-19040	145	19	(	(	PUNCT
bracis-19040	145	20	resp	resp	NOUN
bracis-19040	145	21	.	.	PUNCT
bracis-19040	146	1	\(\lnot	\(\lnot	ADV
bracis-19040	146	2	\phi	\phi	PROPN
bracis-19040	146	3	?	?	PUNCT
bracis-19040	146	4	\	\	NOUN
bracis-19040	146	5	)	)	PUNCT
bracis-19040	146	6	)	)	PUNCT
bracis-19040	146	7	of	of	ADP
bracis-19040	146	8	b.	b.	PROPN
bracis-19040	146	9	a	a	DET
bracis-19040	146	10	weakly	weakly	ADJ
bracis-19040	146	11	rebuts	rebut	VERB
bracis-19040	146	12	b	b	NOUN
bracis-19040	146	13	(	(	PUNCT
bracis-19040	146	14	on	on	ADP
bracis-19040	146	15	\(b'\	\(b'\	NOUN
bracis-19040	146	16	)	)	PUNCT
bracis-19040	146	17	)	)	PUNCT
bracis-19040	147	1	iff	iff	PROPN
bracis-19040	147	2	\(\mathtt	\(\mathtt	VERB
bracis-19040	147	3	{	{	PUNCT
bracis-19040	147	4	conc}(a	conc}(a	PROPN
bracis-19040	147	5	)	)	PUNCT
bracis-19040	147	6	=	=	PUNCT
bracis-19040	148	1	\lnot	\lnot	PROPN
bracis-19040	148	2	\phi	\phi	PROPN
bracis-19040	148	3	?	?	PUNCT
bracis-19040	148	4	\	\	NOUN
bracis-19040	148	5	)	)	PUNCT
bracis-19040	148	6	(	(	PUNCT
bracis-19040	148	7	resp	resp	NOUN
bracis-19040	148	8	.	.	PUNCT
bracis-19040	149	1	\(\mathtt	\(\mathtt	NOUN
bracis-19040	149	2	{	{	PUNCT
bracis-19040	149	3	conc}(a	conc}(a	PROPN
bracis-19040	149	4	)	)	PUNCT
bracis-19040	149	5	=	=	PUNCT
bracis-19040	149	6	\phi	\phi	PROPN
bracis-19040	149	7	?	?	PUNCT
bracis-19040	149	8	\	\	NOUN
bracis-19040	149	9	)	)	PUNCT
bracis-19040	149	10	)	)	PUNCT
bracis-19040	149	11	for	for	ADP
bracis-19040	149	12	some	some	DET
bracis-19040	149	13	\(b	\(b	NOUN
bracis-19040	149	14	'	'	PART
bracis-19040	149	15	\in	\in	PROPN
bracis-19040	149	16	\mathtt	\mathtt	PROPN
bracis-19040	149	17	{	{	PUNCT
bracis-19040	149	18	sub}(b)\	sub}(b)\	NOUN
bracis-19040	149	19	)	)	PUNCT
bracis-19040	149	20	of	of	ADP
bracis-19040	149	21	the	the	DET
bracis-19040	149	22	form	form	NOUN
bracis-19040	149	23	\(b_1'',\ldots	\(b_1'',\ldot	NOUN
bracis-19040	149	24	,	,	PUNCT
bracis-19040	149	25	b_n	b_n	PUNCT
bracis-19040	149	26	''	''	PUNCT
bracis-19040	149	27	\rightarrow	\rightarrow	PROPN
bracis-19040	149	28	\phi	\phi	PROPN
bracis-19040	149	29	?	?	PUNCT
bracis-19040	149	30	\	\	NOUN
bracis-19040	149	31	)	)	PUNCT
bracis-19040	149	32	(	(	PUNCT
bracis-19040	149	33	resp	resp	NOUN
bracis-19040	149	34	.	.	PUNCT
bracis-19040	150	1	\(b_1'',\ldots	\(b_1'',\ldot	NOUN
bracis-19040	150	2	,	,	PUNCT
bracis-19040	150	3	b_n	b_n	PUNCT
bracis-19040	150	4	''	''	PUNCT
bracis-19040	150	5	\rightarrow	\rightarrow	PROPN
bracis-19040	150	6	\lnot	\lnot	PROPN
bracis-19040	150	7	\phi	\phi	PROPN
bracis-19040	150	8	?	?	PUNCT
bracis-19040	150	9	\	\	NOUN
bracis-19040	150	10	)	)	PUNCT
bracis-19040	150	11	)	)	PUNCT
bracis-19040	150	12	.	.	PUNCT
bracis-19040	151	1	example	example	NOUN
bracis-19040	151	2	2	2	NUM
bracis-19040	151	3	recalling	recall	VERB
bracis-19040	151	4	example	example	NOUN
bracis-19040	151	5	1	1	NUM
bracis-19040	151	6	,	,	PUNCT
bracis-19040	151	7	we	we	PRON
bracis-19040	151	8	have	have	AUX
bracis-19040	151	9	\(a_5\	\(a_5\	VERB
bracis-19040	151	10	)	)	PUNCT
bracis-19040	151	11	weakly	weakly	ADV
bracis-19040	151	12	rebuts	rebut	VERB
bracis-19040	151	13	\(a_6\	\(a_6\	NOUN
bracis-19040	151	14	)	)	PUNCT
bracis-19040	151	15	and	and	CCONJ
bracis-19040	151	16	\(a_6\	\(a_6\	NOUN
bracis-19040	151	17	)	)	PUNCT
bracis-19040	151	18	weakly	weakly	ADJ
bracis-19040	151	19	rebuts	rebut	VERB
bracis-19040	151	20	\(a_5\	\(a_5\	NOUN
bracis-19040	151	21	)	)	PUNCT
bracis-19040	151	22	.	.	PUNCT
bracis-19040	152	1	besides	besides	SCONJ
bracis-19040	152	2	,	,	PUNCT
bracis-19040	152	3	\(a_6\	\(a_6\	NOUN
bracis-19040	152	4	)	)	PUNCT
bracis-19040	152	5	contrary	contrary	NOUN
bracis-19040	152	6	-	-	PUNCT
bracis-19040	152	7	undermines	undermine	VERB
bracis-19040	152	8	\(a_2\	\(a_2\	PROPN
bracis-19040	152	9	)	)	PUNCT
bracis-19040	152	10	and	and	CCONJ
bracis-19040	152	11	\(a_5\	\(a_5\	PROPN
bracis-19040	152	12	)	)	PUNCT
bracis-19040	152	13	on	on	ADP
bracis-19040	152	14	\({\sim	\({\sim	PROPN
bracis-19040	152	15	\lnot	\lnot	PROPN
bracis-19040	152	16	w}\	w}\	PROPN
bracis-19040	152	17	)	)	PUNCT
bracis-19040	152	18	.	.	PUNCT
bracis-19040	153	1	if	if	SCONJ
bracis-19040	153	2	in	in	ADP
bracis-19040	153	3	addition	addition	NOUN
bracis-19040	153	4	,	,	PUNCT
bracis-19040	153	5	one	one	PRON
bracis-19040	153	6	had	have	VERB
bracis-19040	153	7	the	the	DET
bracis-19040	153	8	argument	argument	NOUN
bracis-19040	153	9	\(a_7	\(a_7	NOUN
bracis-19040	153	10	=	=	PUNCT
bracis-19040	154	1	[	[	X
bracis-19040	154	2	a_4	a_4	ADV
bracis-19040	154	3	\rightarrow	\rightarrow	PROPN
bracis-19040	154	4	\lnot	\lnot	PROPN
bracis-19040	154	5	w?]\	w?]\	NOUN
bracis-19040	154	6	)	)	PUNCT
bracis-19040	154	7	,	,	PUNCT
bracis-19040	154	8	then	then	ADV
bracis-19040	154	9	\(a_7\	\(a_7\	PROPN
bracis-19040	154	10	)	)	PUNCT
bracis-19040	154	11	(	(	PUNCT
bracis-19040	154	12	like	like	ADP
bracis-19040	154	13	\(a_6\	\(a_6\	NOUN
bracis-19040	154	14	)	)	PUNCT
bracis-19040	154	15	)	)	PUNCT
bracis-19040	154	16	would	would	AUX
bracis-19040	154	17	weakly	weakly	ADV
bracis-19040	154	18	rebut	rebut	VERB
bracis-19040	154	19	\(a_5\	\(a_5\	PROPN
bracis-19040	154	20	)	)	PUNCT
bracis-19040	154	21	on	on	ADP
bracis-19040	154	22	\(a_5\	\(a_5\	PROPN
bracis-19040	154	23	)	)	PUNCT
bracis-19040	154	24	;	;	PUNCT
bracis-19040	154	25	however	however	ADV
bracis-19040	154	26	,	,	PUNCT
bracis-19040	154	27	\(a_7\	\(a_7\	PROPN
bracis-19040	154	28	)	)	PUNCT
bracis-19040	154	29	(	(	PUNCT
bracis-19040	154	30	unlike	unlike	ADP
bracis-19040	154	31	\(a_6\	\(a_6\	NOUN
bracis-19040	154	32	)	)	PUNCT
bracis-19040	154	33	)	)	PUNCT
bracis-19040	154	34	would	would	AUX
bracis-19040	154	35	not	not	PART
bracis-19040	154	36	be	be	AUX
bracis-19040	154	37	weakly	weakly	ADV
bracis-19040	154	38	rebutted	rebut	VERB
bracis-19040	154	39	by	by	ADP
bracis-19040	154	40	\(a_5\	\(a_5\	PROPN
bracis-19040	154	41	)	)	PUNCT
bracis-19040	154	42	.	.	PUNCT
bracis-19040	155	1	definition	definition	NOUN
bracis-19040	155	2	7	7	NUM
bracis-19040	155	3	(	(	PUNCT
bracis-19040	155	4	\	\	PROPN
bracis-19040	155	5	(	(	PUNCT
bracis-19040	155	6	saf	saf	PROPN
bracis-19040	155	7	\	\	PROPN
bracis-19040	155	8	)	)	PUNCT
bracis-19040	155	9	)	)	PUNCT
bracis-19040	155	10	.	.	PUNCT
bracis-19040	156	1	a	a	DET
bracis-19040	156	2	structured	structured	ADJ
bracis-19040	156	3	argumentation	argumentation	NOUN
bracis-19040	156	4	framework	framework	NOUN
bracis-19040	156	5	\	\	PROPN
bracis-19040	156	6	(	(	PUNCT
bracis-19040	156	7	saf	saf	PROPN
bracis-19040	156	8	\	\	PROPN
bracis-19040	156	9	)	)	PUNCT
bracis-19040	156	10	defined	define	VERB
bracis-19040	156	11	by	by	ADP
bracis-19040	156	12	an	an	DET
bracis-19040	156	13	argumentation	argumentation	NOUN
bracis-19040	156	14	theory	theory	NOUN
bracis-19040	156	15	\	\	PROPN
bracis-19040	156	16	(	(	PUNCT
bracis-19040	156	17	at	at	ADP
bracis-19040	156	18	=	=	PUNCT
bracis-19040	156	19	(	(	PUNCT
bracis-19040	156	20	as	as	ADP
bracis-19040	156	21	,	,	PUNCT
bracis-19040	156	22	\mathcal	\mathcal	PROPN
bracis-19040	156	23	k)\	k)\	NOUN
bracis-19040	156	24	)	)	PUNCT
bracis-19040	156	25	is	be	AUX
bracis-19040	156	26	a	a	DET
bracis-19040	156	27	tuple	tuple	ADJ
bracis-19040	156	28	\(\langle	\(\langle	PROPN
bracis-19040	156	29	\mathcal	\mathcal	PROPN
bracis-19040	156	30	a	a	X
bracis-19040	156	31	,	,	PUNCT
bracis-19040	156	32	\mathcal	\mathcal	PROPN
bracis-19040	156	33	c	c	NOUN
bracis-19040	156	34	,	,	PUNCT
bracis-19040	156	35	\mathcal	\mathcal	PROPN
bracis-19040	156	36	c	c	X
bracis-19040	156	37	'	'	PUNCT
bracis-19040	156	38	,	,	PUNCT
bracis-19040	156	39	\preceq	\preceq	PROPN
bracis-19040	156	40	\rangle	\rangle	PROPN
bracis-19040	156	41	\	\	PROPN
bracis-19040	156	42	)	)	PUNCT
bracis-19040	156	43	,	,	PUNCT
bracis-19040	156	44	in	in	ADP
bracis-19040	156	45	which	which	PRON
bracis-19040	156	46	\(\mathcal	\(\mathcal	ADJ
bracis-19040	156	47	a\	a\	NOUN
bracis-19040	156	48	)	)	PUNCT
bracis-19040	156	49	is	be	AUX
bracis-19040	156	50	the	the	DET
bracis-19040	156	51	set	set	NOUN
bracis-19040	156	52	of	of	ADP
bracis-19040	156	53	all	all	DET
bracis-19040	156	54	arguments	argument	NOUN
bracis-19040	156	55	a	a	DET
bracis-19040	156	56	constructed	construct	VERB
bracis-19040	156	57	from	from	ADP
bracis-19040	156	58	\(\mathcal	\(\mathcal	ADJ
bracis-19040	156	59	k\	k\	NOUN
bracis-19040	156	60	)	)	PUNCT
bracis-19040	156	61	in	in	ADP
bracis-19040	156	62	\	\	PROPN
bracis-19040	156	63	(	(	PUNCT
bracis-19040	156	64	as	as	ADP
bracis-19040	156	65	\	\	NOUN
bracis-19040	156	66	)	)	PUNCT
bracis-19040	156	67	such	such	ADJ
bracis-19040	156	68	that	that	SCONJ
bracis-19040	156	69	it	it	PRON
bracis-19040	156	70	satisfies	satisfy	VERB
bracis-19040	156	71	definition	definition	NOUN
bracis-19040	156	72	4	4	NUM
bracis-19040	156	73	and	and	CCONJ
bracis-19040	156	74	\(\texttt	\(\texttt	NUM
bracis-19040	156	75	{	{	PUNCT
bracis-19040	156	76	atoms}(a	atoms}(a	PROPN
bracis-19040	156	77	)	)	PUNCT
bracis-19040	156	78	\subseteq	\subseteq	PROPN
bracis-19040	156	79	\texttt	\texttt	PROPN
bracis-19040	156	80	{	{	PUNCT
bracis-19040	156	81	atoms	atom	NOUN
bracis-19040	156	82	}	}	PUNCT
bracis-19040	156	83	(	(	PUNCT
bracis-19040	156	84	at	at	ADP
bracis-19040	156	85	)	)	PUNCT
bracis-19040	156	86	\	\	NOUN
bracis-19040	156	87	)	)	PUNCT
bracis-19040	156	88	;	;	PUNCT
bracis-19040	156	89	\((x	\((x	X
bracis-19040	156	90	,	,	PUNCT
bracis-19040	156	91	y	y	PROPN
bracis-19040	156	92	)	)	PUNCT
bracis-19040	156	93	\in	\in	PROPN
bracis-19040	156	94	\mathcal	\mathcal	PROPN
bracis-19040	156	95	c\	c\	NOUN
bracis-19040	156	96	)	)	PUNCT
bracis-19040	156	97	iff	iff	NOUN
bracis-19040	156	98	x	x	PROPN
bracis-19040	156	99	attacks	attack	NOUN
bracis-19040	156	100	y	y	PROPN
bracis-19040	156	101	and	and	CCONJ
bracis-19040	156	102	\((x	\((x	PROPN
bracis-19040	156	103	,	,	PUNCT
bracis-19040	156	104	y	y	PROPN
bracis-19040	156	105	)	)	PUNCT
bracis-19040	156	106	\in	\in	PROPN
bracis-19040	156	107	\mathcal	\mathcal	PROPN
bracis-19040	156	108	c'\	c'\	PROPN
bracis-19040	156	109	)	)	PUNCT
bracis-19040	156	110	iff	iff	PROPN
bracis-19040	156	111	x	x	SYM
bracis-19040	156	112	weakly	weakly	ADJ
bracis-19040	156	113	attacks	attack	VERB
bracis-19040	156	114	y	y	PRON
bracis-19040	156	115	;	;	PUNCT
bracis-19040	156	116	\(\preceq	\(\preceq	NOUN
bracis-19040	156	117	\	\	PROPN
bracis-19040	156	118	)	)	PUNCT
bracis-19040	156	119	is	be	AUX
bracis-19040	156	120	a	a	DET
bracis-19040	156	121	preference	preference	NOUN
bracis-19040	156	122	ordering	order	VERB
bracis-19040	156	123	on	on	ADP
bracis-19040	156	124	\(\mathcal	\(\mathcal	ADJ
bracis-19040	156	125	a\	a\	NOUN
bracis-19040	156	126	)	)	PUNCT
bracis-19040	156	127	.	.	PUNCT
bracis-19040	157	1	the	the	DET
bracis-19040	157	2	restriction	restriction	NOUN
bracis-19040	157	3	\(\texttt	\(\texttt	NOUN
bracis-19040	157	4	{	{	PUNCT
bracis-19040	157	5	atoms}(a	atoms}(a	PROPN
bracis-19040	157	6	)	)	PUNCT
bracis-19040	157	7	\subseteq	\subseteq	PROPN
bracis-19040	157	8	\texttt	\texttt	PROPN
bracis-19040	157	9	{	{	PUNCT
bracis-19040	157	10	atoms	atom	NOUN
bracis-19040	157	11	}	}	PUNCT
bracis-19040	157	12	(	(	PUNCT
bracis-19040	157	13	at	at	ADP
bracis-19040	157	14	)	)	PUNCT
bracis-19040	157	15	\	\	NOUN
bracis-19040	157	16	)	)	PUNCT
bracis-19040	157	17	is	be	AUX
bracis-19040	157	18	to	to	PART
bracis-19040	157	19	avoid	avoid	VERB
bracis-19040	157	20	including	include	VERB
bracis-19040	157	21	in	in	ADP
bracis-19040	157	22	the	the	DET
bracis-19040	157	23	\	\	NOUN
bracis-19040	157	24	(	(	PUNCT
bracis-19040	157	25	saf	saf	PROPN
bracis-19040	157	26	\	\	NOUN
bracis-19040	157	27	)	)	PUNCT
bracis-19040	157	28	arguments	argument	NOUN
bracis-19040	157	29	built	build	VERB
bracis-19040	157	30	from	from	ADP
bracis-19040	157	31	strict	strict	ADJ
bracis-19040	157	32	rules	rule	NOUN
bracis-19040	157	33	without	without	ADP
bracis-19040	157	34	relation	relation	NOUN
bracis-19040	157	35	to	to	ADP
bracis-19040	157	36	\(\texttt	\(\texttt	NOUN
bracis-19040	157	37	{	{	PUNCT
bracis-19040	157	38	atoms	atom	NOUN
bracis-19040	157	39	}	}	PUNCT
bracis-19040	157	40	(	(	PUNCT
bracis-19040	157	41	at	at	ADP
bracis-19040	157	42	)	)	PUNCT
bracis-19040	157	43	\	\	NOUN
bracis-19040	157	44	)	)	PUNCT
bracis-19040	157	45	.	.	PUNCT
bracis-19040	158	1	next	next	ADV
bracis-19040	158	2	,	,	PUNCT
bracis-19040	158	3	we	we	PRON
bracis-19040	158	4	define	define	VERB
bracis-19040	158	5	the	the	DET
bracis-19040	158	6	corresponding	correspond	VERB
bracis-19040	158	7	defeat	defeat	NOUN
bracis-19040	158	8	relation	relation	NOUN
bracis-19040	158	9	:	:	PUNCT
bracis-19040	158	10	definition	definition	NOUN
bracis-19040	158	11	8	8	NUM
bracis-19040	158	12	(	(	PUNCT
bracis-19040	158	13	defeat	defeat	NOUN
bracis-19040	158	14	)	)	PUNCT
bracis-19040	158	15	.	.	PUNCT
bracis-19040	159	1	[	[	X
bracis-19040	159	2	3	3	X
bracis-19040	159	3	]	]	X
bracis-19040	159	4	let	let	VERB
bracis-19040	159	5	\(a	\(a	PROPN
bracis-19040	159	6	,	,	PUNCT
bracis-19040	159	7	b	b	PROPN
bracis-19040	159	8	\in	\in	PROPN
bracis-19040	159	9	\mathcal	\mathcal	PROPN
bracis-19040	159	10	a\	a\	NOUN
bracis-19040	159	11	)	)	PUNCT
bracis-19040	159	12	and	and	CCONJ
bracis-19040	159	13	a	a	DET
bracis-19040	159	14	attacks	attack	NOUN
bracis-19040	159	15	b.	b.	VERB
bracis-19040	160	1	if	if	SCONJ
bracis-19040	160	2	a	a	DET
bracis-19040	160	3	undercut	undercut	ADJ
bracis-19040	160	4	,	,	PUNCT
bracis-19040	160	5	contrary	contrary	NOUN
bracis-19040	160	6	-	-	PUNCT
bracis-19040	160	7	rebut	rebut	NOUN
bracis-19040	160	8	or	or	CCONJ
bracis-19040	160	9	contrary	contrary	ADJ
bracis-19040	160	10	-	-	PUNCT
bracis-19040	160	11	undermine	undermine	NOUN
bracis-19040	160	12	attacks	attack	NOUN
bracis-19040	160	13	b	b	NOUN
bracis-19040	160	14	on	on	ADP
bracis-19040	160	15	\(b'\	\(b'\	PROPN
bracis-19040	160	16	)	)	PUNCT
bracis-19040	160	17	then	then	ADV
bracis-19040	160	18	a	a	PRON
bracis-19040	160	19	is	be	AUX
bracis-19040	160	20	said	say	VERB
bracis-19040	160	21	to	to	ADP
bracis-19040	160	22	preference	preference	NOUN
bracis-19040	160	23	-	-	PUNCT
bracis-19040	160	24	independent	independent	ADJ
bracis-19040	160	25	attack	attack	NOUN
bracis-19040	160	26	b	b	PROPN
bracis-19040	160	27	on	on	ADP
bracis-19040	160	28	\(b'\	\(b'\	PROPN
bracis-19040	160	29	)	)	PUNCT
bracis-19040	160	30	;	;	PUNCT
bracis-19040	160	31	otherwise	otherwise	ADV
bracis-19040	160	32	a	a	PRON
bracis-19040	160	33	is	be	AUX
bracis-19040	160	34	said	say	VERB
bracis-19040	160	35	to	to	ADP
bracis-19040	160	36	preference	preference	NOUN
bracis-19040	160	37	-	-	PUNCT
bracis-19040	160	38	dependent	dependent	ADJ
bracis-19040	160	39	attack	attack	NOUN
bracis-19040	160	40	b	b	NOUN
bracis-19040	160	41	on	on	ADP
bracis-19040	160	42	\(b'\	\(b'\	NOUN
bracis-19040	160	43	)	)	PUNCT
bracis-19040	160	44	.	.	PUNCT
bracis-19040	161	1	a	a	DET
bracis-19040	161	2	defeats	defeat	NOUN
bracis-19040	161	3	b	b	X
bracis-19040	161	4	iff	iff	NOUN
bracis-19040	161	5	for	for	ADP
bracis-19040	161	6	some	some	DET
bracis-19040	161	7	\(b'\	\(b'\	NOUN
bracis-19040	161	8	)	)	PUNCT
bracis-19040	161	9	either	either	CCONJ
bracis-19040	161	10	a	a	DET
bracis-19040	161	11	preference	preference	NOUN
bracis-19040	161	12	-	-	PUNCT
bracis-19040	161	13	independent	independent	ADJ
bracis-19040	161	14	attacks	attack	NOUN
bracis-19040	161	15	b	b	NOUN
bracis-19040	161	16	on	on	ADP
bracis-19040	161	17	\(b'\	\(b'\	PROPN
bracis-19040	161	18	)	)	PUNCT
bracis-19040	161	19	or	or	CCONJ
bracis-19040	161	20	a	a	DET
bracis-19040	161	21	preference	preference	NOUN
bracis-19040	161	22	-	-	PUNCT
bracis-19040	161	23	dependent	dependent	ADJ
bracis-19040	161	24	attacks	attack	NOUN
bracis-19040	161	25	b	b	NOUN
bracis-19040	161	26	on	on	ADP
bracis-19040	161	27	\(b'\	\(b'\	NOUN
bracis-19040	161	28	)	)	PUNCT
bracis-19040	161	29	and	and	CCONJ
bracis-19040	161	30	\(a	\(a	NOUN
bracis-19040	161	31	\not	\not	ADV
bracis-19040	161	32	\prec	\prec	PROPN
bracis-19040	161	33	b'\	b'\	PROPN
bracis-19040	161	34	)	)	PUNCT
bracis-19040	161	35	.	.	PUNCT
bracis-19040	162	1	as	as	SCONJ
bracis-19040	162	2	observed	observe	VERB
bracis-19040	162	3	in	in	ADP
bracis-19040	162	4	the	the	DET
bracis-19040	162	5	previous	previous	ADJ
bracis-19040	162	6	definition	definition	NOUN
bracis-19040	162	7	,	,	PUNCT
bracis-19040	162	8	a	a	DET
bracis-19040	162	9	preference	preference	NOUN
bracis-19040	162	10	-	-	PUNCT
bracis-19040	162	11	dependent	dependent	ADJ
bracis-19040	162	12	attack	attack	NOUN
bracis-19040	162	13	from	from	ADP
bracis-19040	162	14	one	one	NUM
bracis-19040	162	15	argument	argument	NOUN
bracis-19040	162	16	to	to	ADP
bracis-19040	162	17	another	another	PRON
bracis-19040	162	18	only	only	ADV
bracis-19040	162	19	succeeds	succeed	VERB
bracis-19040	162	20	(	(	PUNCT
bracis-19040	162	21	as	as	ADP
bracis-19040	162	22	a	a	DET
bracis-19040	162	23	defeat	defeat	NOUN
bracis-19040	162	24	)	)	PUNCT
bracis-19040	162	25	if	if	SCONJ
bracis-19040	162	26	the	the	DET
bracis-19040	162	27	attacked	attack	VERB
bracis-19040	162	28	argument	argument	NOUN
bracis-19040	162	29	is	be	AUX
bracis-19040	162	30	not	not	PART
bracis-19040	162	31	stronger	strong	ADJ
bracis-19040	162	32	than	than	ADP
bracis-19040	162	33	the	the	DET
bracis-19040	162	34	attacking	attack	VERB
bracis-19040	162	35	argument	argument	NOUN
bracis-19040	162	36	.	.	PUNCT
bracis-19040	163	1	thus	thus	ADV
bracis-19040	163	2	,	,	PUNCT
bracis-19040	163	3	if	if	SCONJ
bracis-19040	163	4	an	an	DET
bracis-19040	163	5	argument	argument	NOUN
bracis-19040	163	6	a	a	DET
bracis-19040	163	7	preference	preference	NOUN
bracis-19040	163	8	-	-	PUNCT
bracis-19040	163	9	dependent	dependent	ADJ
bracis-19040	163	10	attacks	attack	NOUN
bracis-19040	163	11	b	b	NOUN
bracis-19040	163	12	and	and	CCONJ
bracis-19040	163	13	b	b	PROPN
bracis-19040	163	14	is	be	AUX
bracis-19040	163	15	preferred	prefer	VERB
bracis-19040	163	16	over	over	ADP
bracis-19040	163	17	a	a	PRON
bracis-19040	163	18	,	,	PUNCT
bracis-19040	163	19	then	then	ADV
bracis-19040	163	20	the	the	DET
bracis-19040	163	21	attack	attack	NOUN
bracis-19040	163	22	of	of	ADP
bracis-19040	163	23	a	a	DET
bracis-19040	163	24	to	to	PART
bracis-19040	163	25	b	b	NOUN
bracis-19040	163	26	does	do	AUX
bracis-19040	163	27	not	not	PART
bracis-19040	163	28	succeed	succeed	VERB
bracis-19040	163	29	,	,	PUNCT
bracis-19040	163	30	and	and	CCONJ
bracis-19040	163	31	b	b	X
bracis-19040	163	32	is	be	AUX
bracis-19040	163	33	not	not	PART
bracis-19040	163	34	defeated	defeat	VERB
bracis-19040	163	35	by	by	ADP
bracis-19040	163	36	a.	a.	NOUN
bracis-19040	163	37	2.2	2.2	NUM
bracis-19040	163	38	abstract	abstract	ADJ
bracis-19040	163	39	argumentation	argumentation	NOUN
bracis-19040	163	40	frameworks	framework	NOUN
bracis-19040	163	41	with	with	ADP
bracis-19040	163	42	two	two	NUM
bracis-19040	163	43	kinds	kind	NOUN
bracis-19040	163	44	of	of	ADP
bracis-19040	163	45	defeats	defeat	NOUN
bracis-19040	163	46	as	as	ADP
bracis-19040	163	47	\	\	PROPN
bracis-19040	163	48	(	(	PUNCT
bracis-19040	163	49	saf	saf	DET
bracis-19040	163	50	\)s	\)s	X
bracis-19040	163	51	have	have	AUX
bracis-19040	163	52	two	two	NUM
bracis-19040	163	53	kinds	kind	NOUN
bracis-19040	163	54	of	of	ADP
bracis-19040	163	55	attacks	attack	NOUN
bracis-19040	163	56	,	,	PUNCT
bracis-19040	163	57	the	the	DET
bracis-19040	163	58	associated	associated	ADJ
bracis-19040	163	59	abstract	abstract	ADJ
bracis-19040	163	60	argumentation	argumentation	NOUN
bracis-19040	163	61	frameworks	framework	NOUN
bracis-19040	163	62	have	have	VERB
bracis-19040	163	63	to	to	PART
bracis-19040	163	64	couple	couple	VERB
bracis-19040	163	65	with	with	ADP
bracis-19040	163	66	two	two	NUM
bracis-19040	163	67	kinds	kind	NOUN
bracis-19040	163	68	of	of	ADP
bracis-19040	163	69	defeats	defeat	NOUN
bracis-19040	163	70	:	:	PUNCT
bracis-19040	163	71	definition	definition	NOUN
bracis-19040	163	72	9	9	NUM
bracis-19040	163	73	(	(	PUNCT
bracis-19040	163	74	argumentation	argumentation	NOUN
bracis-19040	163	75	frameworks	framework	NOUN
bracis-19040	163	76	with	with	ADP
bracis-19040	163	77	two	two	NUM
bracis-19040	163	78	kinds	kind	NOUN
bracis-19040	163	79	of	of	ADP
bracis-19040	163	80	defeats	defeat	NOUN
bracis-19040	163	81	)	)	PUNCT
bracis-19040	163	82	.	.	PUNCT
bracis-19040	164	1	an	an	DET
bracis-19040	164	2	abstract	abstract	ADJ
bracis-19040	164	3	argumentation	argumentation	NOUN
bracis-19040	164	4	framework	framework	NOUN
bracis-19040	164	5	with	with	ADP
bracis-19040	164	6	two	two	NUM
bracis-19040	164	7	kinds	kind	NOUN
bracis-19040	164	8	of	of	ADP
bracis-19040	164	9	defeats	defeat	NOUN
bracis-19040	164	10	(	(	PUNCT
bracis-19040	164	11	\	\	PROPN
bracis-19040	164	12	(	(	PUNCT
bracis-19040	164	13	af	af	X
bracis-19040	164	14	_	_	NOUN
bracis-19040	164	15	2\	2\	NUM
bracis-19040	164	16	)	)	PUNCT
bracis-19040	164	17	)	)	PUNCT
bracis-19040	164	18	corresponding	correspond	VERB
bracis-19040	164	19	to	to	ADP
bracis-19040	164	20	a	a	DET
bracis-19040	164	21	\	\	NOUN
bracis-19040	164	22	(	(	PUNCT
bracis-19040	164	23	saf	saf	PROPN
bracis-19040	164	24	=	=	PROPN
bracis-19040	164	25	\langle	\langle	PROPN
bracis-19040	165	1	\mathcal	\mathcal	PROPN
bracis-19040	165	2	a	a	X
bracis-19040	165	3	,	,	PUNCT
bracis-19040	165	4	\mathcal	\mathcal	PROPN
bracis-19040	165	5	c	c	NOUN
bracis-19040	165	6	,	,	PUNCT
bracis-19040	165	7	\mathcal	\mathcal	PROPN
bracis-19040	165	8	c	c	X
bracis-19040	165	9	'	'	PUNCT
bracis-19040	165	10	,	,	PUNCT
bracis-19040	165	11	\preceq	\preceq	PROPN
bracis-19040	165	12	\rangle	\rangle	PROPN
bracis-19040	165	13	\	\	NOUN
bracis-19040	165	14	)	)	PUNCT
bracis-19040	165	15	is	be	AUX
bracis-19040	165	16	a	a	DET
bracis-19040	165	17	tuple	tuple	NOUN
bracis-19040	165	18	\((\mathcal	\((\mathcal	PROPN
bracis-19040	165	19	a	a	DET
bracis-19040	165	20	,	,	PUNCT
bracis-19040	165	21	\mathcal	\mathcal	PROPN
bracis-19040	165	22	d	d	NOUN
bracis-19040	165	23	,	,	PUNCT
bracis-19040	165	24	\mathcal	\mathcal	PROPN
bracis-19040	165	25	d')\	d')\	NOUN
bracis-19040	165	26	)	)	PUNCT
bracis-19040	165	27	such	such	ADJ
bracis-19040	165	28	that	that	SCONJ
bracis-19040	165	29	\(\mathcal	\(\mathcal	ADJ
bracis-19040	165	30	d	d	NOUN
bracis-19040	165	31	=	=	SYM
bracis-19040	165	32	\{(x	\{(x	PROPN
bracis-19040	165	33	,	,	PUNCT
bracis-19040	165	34	y	y	NOUN
bracis-19040	165	35	)	)	PUNCT
bracis-19040	165	36	\in	\in	PROPN
bracis-19040	165	37	\mathcal	\mathcal	PROPN
bracis-19040	165	38	c	c	NOUN
bracis-19040	165	39	\mid	\mid	NOUN
bracis-19040	165	40	x	x	SYM
bracis-19040	165	41	\textit	\textit	NOUN
bracis-19040	165	42	{	{	PUNCT
bracis-19040	165	43	defeats	defeat	VERB
bracis-19040	165	44	}	}	PUNCT
bracis-19040	165	45	y	y	NOUN
bracis-19040	165	46	\}\	\}\	NOUN
bracis-19040	165	47	)	)	PUNCT
bracis-19040	165	48	and	and	CCONJ
bracis-19040	165	49	\(\mathcal	\(\mathcal	ADJ
bracis-19040	165	50	d	d	NOUN
bracis-19040	165	51	'	'	PUNCT
bracis-19040	165	52	=	=	SYM
bracis-19040	165	53	\left\	\left\	PROPN
bracis-19040	165	54	{	{	PUNCT
bracis-19040	165	55	(	(	PUNCT
bracis-19040	165	56	x	x	NOUN
bracis-19040	165	57	,	,	PUNCT
bracis-19040	165	58	y	y	NOUN
bracis-19040	165	59	)	)	PUNCT
bracis-19040	165	60	\in	\in	PROPN
bracis-19040	165	61	\mathcal	\mathcal	PROPN
bracis-19040	165	62	c	c	NOUN
bracis-19040	165	63	'	'	PUNCT
bracis-19040	165	64	\mid	\mid	NOUN
bracis-19040	165	65	x	x	SYM
bracis-19040	165	66	\not	\not	ADV
bracis-19040	165	67	\prec	\prec	ADP
bracis-19040	165	68	y\right\	y\right\	ADV
bracis-19040	165	69	}	}	PUNCT
bracis-19040	165	70	\	\	NOUN
bracis-19040	165	71	)	)	PUNCT
bracis-19040	165	72	.	.	PUNCT
bracis-19040	166	1	for	for	ADP
bracis-19040	166	2	\(a	\(a	PROPN
bracis-19040	166	3	\in	\in	PROPN
bracis-19040	166	4	\mathcal	\mathcal	PROPN
bracis-19040	166	5	a\	a\	NOUN
bracis-19040	166	6	)	)	PUNCT
bracis-19040	166	7	,	,	PUNCT
bracis-19040	166	8	we	we	PRON
bracis-19040	166	9	define	define	VERB
bracis-19040	166	10	$	$	SYM
bracis-19040	166	11	$	$	NUM
bracis-19040	166	12	a^+	a^+	NOUN
bracis-19040	166	13	=	=	SYM
bracis-19040	166	14	\left\	\left\	PROPN
bracis-19040	166	15	{	{	PUNCT
bracis-19040	166	16	b	b	PROPN
bracis-19040	166	17	\in	\in	PROPN
bracis-19040	166	18	\mathcal	\mathcal	PROPN
bracis-19040	166	19	a\mid	a\mid	PROPN
bracis-19040	166	20	(	(	PUNCT
bracis-19040	166	21	a	a	PRON
bracis-19040	166	22	,	,	PUNCT
bracis-19040	166	23	b	b	NOUN
bracis-19040	166	24	)	)	PUNCT
bracis-19040	166	25	\in	\in	PROPN
bracis-19040	166	26	\mathcal	\mathcal	PROPN
bracis-19040	166	27	d	d	X
bracis-19040	166	28	\cup	\cup	PROPN
bracis-19040	166	29	\mathcal	\mathcal	PROPN
bracis-19040	166	30	d'\right\	d'\right\	NOUN
bracis-19040	166	31	}	}	PUNCT
bracis-19040	166	32	\textit	\textit	NOUN
bracis-19040	166	33	{	{	PUNCT
bracis-19040	166	34	and	and	CCONJ
bracis-19040	166	35	}	}	PUNCT
bracis-19040	166	36	a^=	a^=	PROPN
bracis-19040	166	37	\left\	\left\	PROPN
bracis-19040	166	38	{	{	PUNCT
bracis-19040	166	39	b	b	PROPN
bracis-19040	166	40	\in	\in	PROPN
bracis-19040	166	41	\mathcal	\mathcal	PROPN
bracis-19040	166	42	a\mid	a\mid	PROPN
bracis-19040	166	43	(	(	PUNCT
bracis-19040	166	44	b	b	NOUN
bracis-19040	166	45	,	,	PUNCT
bracis-19040	166	46	a	a	DET
bracis-19040	166	47	)	)	PUNCT
bracis-19040	166	48	\in	\in	PROPN
bracis-19040	166	49	\mathcal	\mathcal	PROPN
bracis-19040	166	50	d	d	PROPN
bracis-19040	166	51	\cup	\cup	PROPN
bracis-19040	166	52	\mathcal	\mathcal	PROPN
bracis-19040	166	53	d'\right\	d'\right\	NOUN
bracis-19040	166	54	}	}	PUNCT
bracis-19040	166	55	.	.	PUNCT
bracis-19040	167	1	$	$	SYM
bracis-19040	167	2	$	$	SYM
bracis-19040	167	3	given	give	VERB
bracis-19040	167	4	a	a	DET
bracis-19040	167	5	\	\	PROPN
bracis-19040	167	6	(	(	PUNCT
bracis-19040	167	7	saf	saf	PROPN
bracis-19040	167	8	sa	sa	PROPN
bracis-19040	167	9	\	\	PROPN
bracis-19040	167	10	)	)	PUNCT
bracis-19040	167	11	defined	define	VERB
bracis-19040	167	12	by	by	ADP
bracis-19040	167	13	an	an	DET
bracis-19040	167	14	argumentation	argumentation	NOUN
bracis-19040	167	15	theory	theory	NOUN
bracis-19040	167	16	\	\	PROPN
bracis-19040	167	17	(	(	PUNCT
bracis-19040	167	18	at	at	ADP
bracis-19040	167	19	\	\	NOUN
bracis-19040	167	20	)	)	PUNCT
bracis-19040	167	21	and	and	CCONJ
bracis-19040	167	22	an	an	DET
bracis-19040	167	23	\	\	PROPN
bracis-19040	167	24	(	(	PUNCT
bracis-19040	167	25	af	af	X
bracis-19040	167	26	_	_	NOUN
bracis-19040	167	27	2\	2\	NUM
bracis-19040	167	28	,	,	PUNCT
bracis-19040	167	29	af	af	PROPN
bracis-19040	167	30	\	\	NOUN
bracis-19040	167	31	)	)	PUNCT
bracis-19040	167	32	corresponding	correspond	VERB
bracis-19040	167	33	to	to	ADP
bracis-19040	167	34	\	\	PROPN
bracis-19040	167	35	(	(	PUNCT
bracis-19040	167	36	sa	sa	NOUN
bracis-19040	167	37	\	\	PROPN
bracis-19040	167	38	)	)	PUNCT
bracis-19040	167	39	,	,	PUNCT
bracis-19040	167	40	we	we	PRON
bracis-19040	167	41	will	will	AUX
bracis-19040	167	42	refer	refer	VERB
bracis-19040	167	43	to	to	ADP
bracis-19040	167	44	\	\	PROPN
bracis-19040	167	45	(	(	PUNCT
bracis-19040	167	46	af	af	PROPN
bracis-19040	167	47	\	\	PROPN
bracis-19040	167	48	)	)	PUNCT
bracis-19040	167	49	as	as	ADP
bracis-19040	167	50	the	the	DET
bracis-19040	167	51	resulting	result	VERB
bracis-19040	167	52	\	\	NOUN
bracis-19040	167	53	(	(	PUNCT
bracis-19040	167	54	af	af	X
bracis-19040	167	55	_	_	NOUN
bracis-19040	167	56	2\	2\	X
bracis-19040	167	57	)	)	PUNCT
bracis-19040	167	58	from	from	ADP
bracis-19040	167	59	\	\	PROPN
bracis-19040	167	60	(	(	PUNCT
bracis-19040	167	61	at	at	ADP
bracis-19040	167	62	\	\	NOUN
bracis-19040	167	63	)	)	PUNCT
bracis-19040	167	64	.	.	PUNCT
bracis-19040	168	1	example	example	NOUN
bracis-19040	168	2	3	3	NUM
bracis-19040	168	3	(	(	PUNCT
bracis-19040	168	4	example	example	NOUN
bracis-19040	168	5	2	2	NUM
bracis-19040	168	6	continued	continue	VERB
bracis-19040	168	7	)	)	PUNCT
bracis-19040	168	8	.	.	PUNCT
bracis-19040	169	1	let	let	VERB
bracis-19040	169	2	\(\preceq	\(\preceq	NOUN
bracis-19040	169	3	=	=	SYM
bracis-19040	169	4	\left\	\left\	PROPN
bracis-19040	169	5	{	{	PUNCT
bracis-19040	169	6	(	(	PUNCT
bracis-19040	169	7	a_6,a_2)\right\	a_6,a_2)\right\	PROPN
bracis-19040	169	8	}	}	PUNCT
bracis-19040	169	9	\	\	NOUN
bracis-19040	169	10	)	)	PUNCT
bracis-19040	169	11	,	,	PUNCT
bracis-19040	169	12	i.e.	i.e.	X
bracis-19040	169	13	,	,	PUNCT
bracis-19040	169	14	\(a_6	\(a_6	PROPN
bracis-19040	169	15	\prec	\prec	PROPN
bracis-19040	169	16	a_2\	a_2\	PROPN
bracis-19040	169	17	)	)	PUNCT
bracis-19040	169	18	be	be	VERB
bracis-19040	169	19	a	a	DET
bracis-19040	169	20	preference	preference	NOUN
bracis-19040	169	21	ordering	order	VERB
bracis-19040	169	22	on	on	ADP
bracis-19040	169	23	\(\mathcal	\(\mathcal	ADJ
bracis-19040	169	24	a	a	PRON
bracis-19040	169	25	=	=	SYM
bracis-19040	169	26	\left\	\left\	PROPN
bracis-19040	169	27	{	{	PUNCT
bracis-19040	169	28	a_1	a_1	NOUN
bracis-19040	169	29	,	,	PUNCT
bracis-19040	169	30	a_2	a_2	PROPN
bracis-19040	169	31	,	,	PUNCT
bracis-19040	169	32	a_3	a_3	PROPN
bracis-19040	169	33	,	,	PUNCT
bracis-19040	169	34	a_4	a_4	PROPN
bracis-19040	169	35	,	,	PUNCT
bracis-19040	169	36	a_5	a_5	VERB
bracis-19040	169	37	,	,	PUNCT
bracis-19040	169	38	a_6\right\	a_6\right\	ADJ
bracis-19040	169	39	}	}	PUNCT
bracis-19040	169	40	\	\	NOUN
bracis-19040	169	41	)	)	PUNCT
bracis-19040	169	42	.	.	PUNCT
bracis-19040	170	1	in	in	ADP
bracis-19040	170	2	the	the	DET
bracis-19040	170	3	\	\	NOUN
bracis-19040	170	4	(	(	PUNCT
bracis-19040	170	5	saf	saf	PROPN
bracis-19040	170	6	(	(	PUNCT
bracis-19040	170	7	\mathcal	\mathcal	PROPN
bracis-19040	170	8	a	a	X
bracis-19040	170	9	,	,	PUNCT
bracis-19040	170	10	\mathcal	\mathcal	PROPN
bracis-19040	170	11	c	c	NOUN
bracis-19040	170	12	,	,	PUNCT
bracis-19040	170	13	\mathcal	\mathcal	PROPN
bracis-19040	170	14	c	c	X
bracis-19040	170	15	'	'	PUNCT
bracis-19040	170	16	,	,	PUNCT
bracis-19040	170	17	\preceq	\preceq	PROPN
bracis-19040	170	18	)	)	PUNCT
bracis-19040	170	19	\	\	NOUN
bracis-19040	170	20	)	)	PUNCT
bracis-19040	170	21	defined	define	VERB
bracis-19040	170	22	by	by	ADP
bracis-19040	170	23	\	\	PROPN
bracis-19040	170	24	(	(	PUNCT
bracis-19040	170	25	at	at	ADP
bracis-19040	170	26	\	\	NOUN
bracis-19040	170	27	)	)	PUNCT
bracis-19040	170	28	,	,	PUNCT
bracis-19040	170	29	we	we	PRON
bracis-19040	170	30	have	have	VERB
bracis-19040	170	31	\(\mathcal	\(\mathcal	ADJ
bracis-19040	170	32	c	c	NOUN
bracis-19040	170	33	=	=	SYM
bracis-19040	170	34	\left\	\left\	PROPN
bracis-19040	170	35	{	{	PUNCT
bracis-19040	170	36	(	(	PUNCT
bracis-19040	170	37	a_6,a_2)\right\	a_6,a_2)\right\	PROPN
bracis-19040	170	38	}	}	PUNCT
bracis-19040	170	39	\	\	NOUN
bracis-19040	170	40	)	)	PUNCT
bracis-19040	170	41	and	and	CCONJ
bracis-19040	170	42	\(\mathcal	\(\mathcal	ADJ
bracis-19040	170	43	c	c	X
bracis-19040	170	44	'	'	PUNCT
bracis-19040	170	45	=	=	SYM
bracis-19040	170	46	\left\	\left\	PROPN
bracis-19040	170	47	{	{	PUNCT
bracis-19040	170	48	(	(	PUNCT
bracis-19040	170	49	a_5,a_6	a_5,a_6	PROPN
bracis-19040	170	50	)	)	PUNCT
bracis-19040	170	51	,	,	PUNCT
bracis-19040	170	52	(	(	PUNCT
bracis-19040	170	53	a_6,a_5)\right\	a_6,a_5)\right\	PROPN
bracis-19040	170	54	}	}	PUNCT
bracis-19040	170	55	\	\	NOUN
bracis-19040	170	56	)	)	PUNCT
bracis-19040	170	57	.	.	PUNCT
bracis-19040	171	1	as	as	ADP
bracis-19040	171	2	\((a_6,a_2)\	\((a_6,a_2)\	NOUN
bracis-19040	171	3	)	)	PUNCT
bracis-19040	171	4	is	be	AUX
bracis-19040	171	5	a	a	DET
bracis-19040	171	6	preference	preference	NOUN
bracis-19040	171	7	independent	independent	ADJ
bracis-19040	171	8	attack	attack	NOUN
bracis-19040	171	9	,	,	PUNCT
bracis-19040	171	10	we	we	PRON
bracis-19040	171	11	obtain	obtain	VERB
bracis-19040	171	12	\(\mathcal	\(\mathcal	ADJ
bracis-19040	171	13	d	d	NOUN
bracis-19040	171	14	=	=	PROPN
bracis-19040	171	15	\mathcal	\mathcal	PROPN
bracis-19040	171	16	c\	c\	NOUN
bracis-19040	171	17	)	)	PUNCT
bracis-19040	171	18	and	and	CCONJ
bracis-19040	171	19	\(\mathcal	\(\mathcal	ADJ
bracis-19040	171	20	d	d	NOUN
bracis-19040	171	21	'	'	PUNCT
bracis-19040	171	22	=	=	PROPN
bracis-19040	171	23	\mathcal	\mathcal	PROPN
bracis-19040	171	24	c'\	c'\	PROPN
bracis-19040	171	25	)	)	PUNCT
bracis-19040	171	26	.	.	PUNCT
bracis-19040	172	1	traditional	traditional	ADJ
bracis-19040	172	2	approaches	approach	NOUN
bracis-19040	172	3	to	to	PART
bracis-19040	172	4	argumentation	argumentation	NOUN
bracis-19040	172	5	semantics	semantic	NOUN
bracis-19040	172	6	ensure	ensure	VERB
bracis-19040	172	7	arguments	argument	NOUN
bracis-19040	172	8	attacking	attack	VERB
bracis-19040	172	9	each	each	DET
bracis-19040	172	10	other	other	ADJ
bracis-19040	172	11	are	be	AUX
bracis-19040	172	12	not	not	PART
bracis-19040	172	13	tolerated	tolerate	VERB
bracis-19040	172	14	in	in	ADP
bracis-19040	172	15	the	the	DET
bracis-19040	172	16	same	same	ADJ
bracis-19040	172	17	set	set	NOUN
bracis-19040	172	18	,	,	PUNCT
bracis-19040	172	19	which	which	PRON
bracis-19040	172	20	is	be	AUX
bracis-19040	172	21	said	say	VERB
bracis-19040	172	22	to	to	PART
bracis-19040	172	23	be	be	AUX
bracis-19040	172	24	conflict	conflict	NOUN
bracis-19040	172	25	free	free	ADJ
bracis-19040	172	26	.	.	PUNCT
bracis-19040	173	1	in	in	ADP
bracis-19040	173	2	\	\	PROPN
bracis-19040	173	3	(	(	PUNCT
bracis-19040	173	4	aspic	aspic	NOUN
bracis-19040	173	5	^?\	^?\	NUM
bracis-19040	173	6	)	)	PUNCT
bracis-19040	173	7	,	,	PUNCT
bracis-19040	173	8	we	we	PRON
bracis-19040	173	9	distinguish	distinguish	VERB
bracis-19040	173	10	a	a	DET
bracis-19040	173	11	strong	strong	ADJ
bracis-19040	173	12	conflict	conflict	NOUN
bracis-19040	173	13	from	from	ADP
bracis-19040	173	14	a	a	DET
bracis-19040	173	15	weak	weak	ADJ
bracis-19040	173	16	conflict	conflict	NOUN
bracis-19040	173	17	.	.	PUNCT
bracis-19040	174	1	the	the	DET
bracis-19040	174	2	aim	aim	NOUN
bracis-19040	174	3	is	be	AUX
bracis-19040	174	4	to	to	PART
bracis-19040	174	5	avoid	avoid	VERB
bracis-19040	174	6	strong	strong	ADJ
bracis-19040	174	7	conflicts	conflict	NOUN
bracis-19040	174	8	,	,	PUNCT
bracis-19040	174	9	which	which	PRON
bracis-19040	174	10	are	be	AUX
bracis-19040	174	11	carried	carry	VERB
bracis-19040	174	12	over	over	ADP
bracis-19040	174	13	by	by	ADP
bracis-19040	174	14	the	the	DET
bracis-19040	174	15	defeat	defeat	NOUN
bracis-19040	174	16	relation	relation	PROPN
bracis-19040	174	17	\(\mathcal	\(\mathcal	ADJ
bracis-19040	174	18	d\	d\	NOUN
bracis-19040	174	19	)	)	PUNCT
bracis-19040	174	20	,	,	PUNCT
bracis-19040	174	21	and	and	CCONJ
bracis-19040	174	22	to	to	PART
bracis-19040	174	23	tolerate	tolerate	VERB
bracis-19040	174	24	weak	weak	ADJ
bracis-19040	174	25	conflicts	conflict	NOUN
bracis-19040	174	26	,	,	PUNCT
bracis-19040	174	27	which	which	PRON
bracis-19040	174	28	are	be	AUX
bracis-19040	174	29	carried	carry	VERB
bracis-19040	174	30	over	over	ADP
bracis-19040	174	31	by	by	ADP
bracis-19040	174	32	the	the	DET
bracis-19040	174	33	relation	relation	NOUN
bracis-19040	174	34	\(\mathcal	\(\mathcal	ADJ
bracis-19040	174	35	d'\	d'\	PROPN
bracis-19040	174	36	)	)	PUNCT
bracis-19040	174	37	.	.	PUNCT
bracis-19040	175	1	we	we	PRON
bracis-19040	175	2	say	say	VERB
bracis-19040	175	3	the	the	DET
bracis-19040	175	4	resulting	result	VERB
bracis-19040	175	5	set	set	NOUN
bracis-19040	175	6	is	be	AUX
bracis-19040	175	7	compatible	compatible	ADJ
bracis-19040	175	8	:	:	PUNCT
bracis-19040	175	9	definition	definition	NOUN
bracis-19040	175	10	10	10	NUM
bracis-19040	175	11	(	(	PUNCT
bracis-19040	175	12	compatible	compatible	ADJ
bracis-19040	175	13	sets	set	NOUN
bracis-19040	175	14	)	)	PUNCT
bracis-19040	175	15	.	.	PUNCT
bracis-19040	176	1	let	let	VERB
bracis-19040	176	2	\	\	PROPN
bracis-19040	176	3	(	(	PUNCT
bracis-19040	176	4	af	af	PROPN
bracis-19040	176	5	=	=	SYM
bracis-19040	176	6	(	(	PUNCT
bracis-19040	176	7	\mathcal	\mathcal	PROPN
bracis-19040	176	8	a	a	X
bracis-19040	176	9	,	,	PUNCT
bracis-19040	176	10	\mathcal	\mathcal	PROPN
bracis-19040	176	11	d	d	NOUN
bracis-19040	176	12	,	,	PUNCT
bracis-19040	176	13	\mathcal	\mathcal	PROPN
bracis-19040	176	14	d')\	d')\	NOUN
bracis-19040	176	15	)	)	PUNCT
bracis-19040	176	16	be	be	VERB
bracis-19040	176	17	an	an	DET
bracis-19040	176	18	\	\	PROPN
bracis-19040	176	19	(	(	PUNCT
bracis-19040	176	20	af	af	X
bracis-19040	176	21	_	_	NOUN
bracis-19040	176	22	2\	2\	NUM
bracis-19040	176	23	)	)	PUNCT
bracis-19040	176	24	and	and	CCONJ
bracis-19040	176	25	\(s	\(s	VERB
bracis-19040	176	26	\subseteq	\subseteq	PROPN
bracis-19040	176	27	\mathcal	\mathcal	PROPN
bracis-19040	176	28	a\	a\	PROPN
bracis-19040	176	29	)	)	PUNCT
bracis-19040	176	30	.	.	PUNCT
bracis-19040	177	1	a	a	DET
bracis-19040	177	2	set	set	NOUN
bracis-19040	177	3	s	s	PART
bracis-19040	177	4	is	be	AUX
bracis-19040	177	5	compatible	compatible	ADJ
bracis-19040	177	6	(	(	PUNCT
bracis-19040	177	7	in	in	ADP
bracis-19040	177	8	\	\	PROPN
bracis-19040	177	9	(	(	PUNCT
bracis-19040	177	10	af	af	PROPN
bracis-19040	177	11	\	\	PROPN
bracis-19040	177	12	)	)	PUNCT
bracis-19040	177	13	)	)	PUNCT
bracis-19040	178	1	if	if	SCONJ
bracis-19040	178	2	\(\forall	\(\forall	ADV
bracis-19040	178	3	a	a	DET
bracis-19040	178	4	\in	\in	ADJ
bracis-19040	178	5	s\	s\	NOUN
bracis-19040	178	6	)	)	PUNCT
bracis-19040	178	7	,	,	PUNCT
bracis-19040	178	8	\(\not	\(\not	ADV
bracis-19040	178	9	\exists	\exist	NOUN
bracis-19040	178	10	b	b	X
bracis-19040	178	11	\in	\in	PROPN
bracis-19040	178	12	s\	s\	NOUN
bracis-19040	178	13	)	)	PUNCT
bracis-19040	178	14	such	such	ADJ
bracis-19040	178	15	that	that	PRON
bracis-19040	178	16	\((b	\((b	NOUN
bracis-19040	178	17	,	,	PUNCT
bracis-19040	178	18	a	a	DET
bracis-19040	178	19	)	)	PUNCT
bracis-19040	178	20	\in	\in	PROPN
bracis-19040	178	21	\mathcal	\mathcal	PROPN
bracis-19040	178	22	d\	d\	PROPN
bracis-19040	178	23	)	)	PUNCT
bracis-19040	178	24	.	.	PUNCT
bracis-19040	179	1	compatible	compatible	ADJ
bracis-19040	179	2	sets	set	NOUN
bracis-19040	179	3	do	do	AUX
bracis-19040	179	4	not	not	PART
bracis-19040	179	5	contain	contain	VERB
bracis-19040	179	6	the	the	DET
bracis-19040	179	7	arguments	argument	NOUN
bracis-19040	179	8	a	a	PRON
bracis-19040	179	9	and	and	CCONJ
bracis-19040	179	10	b	b	NOUN
bracis-19040	179	11	if	if	SCONJ
bracis-19040	179	12	a	a	DET
bracis-19040	179	13	attacks	attack	NOUN
bracis-19040	179	14	b	b	NOUN
bracis-19040	179	15	(	(	PUNCT
bracis-19040	179	16	or	or	CCONJ
bracis-19040	179	17	vice	vice	NOUN
bracis-19040	179	18	versa	versa	ADV
bracis-19040	179	19	)	)	PUNCT
bracis-19040	179	20	;	;	PUNCT
bracis-19040	179	21	however	however	ADV
bracis-19040	179	22	they	they	PRON
bracis-19040	179	23	can	can	AUX
bracis-19040	179	24	accommodate	accommodate	VERB
bracis-19040	179	25	weak	weak	ADJ
bracis-19040	179	26	attacks	attack	NOUN
bracis-19040	179	27	between	between	ADP
bracis-19040	179	28	their	their	PRON
bracis-19040	179	29	members	member	NOUN
bracis-19040	179	30	.	.	PUNCT
bracis-19040	180	1	this	this	PRON
bracis-19040	180	2	means	mean	VERB
bracis-19040	180	3	in	in	ADP
bracis-19040	180	4	example	example	NOUN
bracis-19040	180	5	3	3	NUM
bracis-19040	180	6	,	,	PUNCT
bracis-19040	180	7	the	the	DET
bracis-19040	180	8	set	set	NOUN
bracis-19040	180	9	\(\left\	\(\left\	NOUN
bracis-19040	180	10	{	{	PUNCT
bracis-19040	180	11	a_5,a_6\right\	a_5,a_6\right\	ADJ
bracis-19040	180	12	}	}	PUNCT
bracis-19040	180	13	\	\	NOUN
bracis-19040	180	14	)	)	PUNCT
bracis-19040	180	15	is	be	AUX
bracis-19040	180	16	compatible	compatible	ADJ
bracis-19040	180	17	,	,	PUNCT
bracis-19040	180	18	but	but	CCONJ
bracis-19040	180	19	\(\left\	\(\left\	ADV
bracis-19040	180	20	{	{	PUNCT
bracis-19040	180	21	a_2	a_2	PROPN
bracis-19040	180	22	,	,	PUNCT
bracis-19040	180	23	a_6\right\	a_6\right\	PROPN
bracis-19040	180	24	}	}	PUNCT
bracis-19040	180	25	\	\	NOUN
bracis-19040	180	26	)	)	PUNCT
bracis-19040	180	27	is	be	AUX
bracis-19040	180	28	not	not	PART
bracis-19040	180	29	.	.	PUNCT
bracis-19040	181	1	now	now	ADV
bracis-19040	181	2	we	we	PRON
bracis-19040	181	3	are	be	AUX
bracis-19040	181	4	entitled	entitle	VERB
bracis-19040	181	5	to	to	PART
bracis-19040	181	6	define	define	VERB
bracis-19040	181	7	semantics	semantic	NOUN
bracis-19040	181	8	to	to	PART
bracis-19040	181	9	deal	deal	VERB
bracis-19040	181	10	with	with	ADP
bracis-19040	181	11	compatible	compatible	ADJ
bracis-19040	181	12	sets	set	NOUN
bracis-19040	181	13	:	:	PUNCT
bracis-19040	181	14	definition	definition	NOUN
bracis-19040	181	15	11	11	NUM
bracis-19040	181	16	(	(	PUNCT
bracis-19040	181	17	semantics	semantic	NOUN
bracis-19040	181	18	)	)	PUNCT
bracis-19040	181	19	.	.	PUNCT
bracis-19040	182	1	let	let	VERB
bracis-19040	182	2	\	\	PROPN
bracis-19040	182	3	(	(	PUNCT
bracis-19040	182	4	af	af	PROPN
bracis-19040	182	5	=	=	SYM
bracis-19040	182	6	(	(	PUNCT
bracis-19040	182	7	\mathcal	\mathcal	PROPN
bracis-19040	182	8	a	a	X
bracis-19040	182	9	,	,	PUNCT
bracis-19040	182	10	\mathcal	\mathcal	PROPN
bracis-19040	182	11	d	d	NOUN
bracis-19040	182	12	,	,	PUNCT
bracis-19040	182	13	\mathcal	\mathcal	PROPN
bracis-19040	182	14	d')\	d')\	NOUN
bracis-19040	182	15	)	)	PUNCT
bracis-19040	182	16	be	be	VERB
bracis-19040	182	17	an	an	DET
bracis-19040	182	18	\	\	PROPN
bracis-19040	182	19	(	(	PUNCT
bracis-19040	182	20	af	af	X
bracis-19040	182	21	_	_	NOUN
bracis-19040	182	22	2\	2\	NUM
bracis-19040	182	23	)	)	PUNCT
bracis-19040	182	24	and	and	CCONJ
bracis-19040	182	25	\(s	\(s	VERB
bracis-19040	182	26	\subseteq	\subseteq	PROPN
bracis-19040	182	27	\mathcal	\mathcal	PROPN
bracis-19040	182	28	a\	a\	PROPN
bracis-19040	182	29	)	)	PUNCT
bracis-19040	182	30	be	be	VERB
bracis-19040	182	31	a	a	DET
bracis-19040	182	32	compatible	compatible	ADJ
bracis-19040	182	33	set	set	NOUN
bracis-19040	182	34	of	of	ADP
bracis-19040	182	35	arguments	argument	NOUN
bracis-19040	182	36	.	.	PUNCT
bracis-19040	183	1	then	then	ADV
bracis-19040	183	2	\(x	\(x	PROPN
bracis-19040	183	3	\in	\in	PROPN
bracis-19040	183	4	\mathcal	\mathcal	PROPN
bracis-19040	183	5	a\	a\	NOUN
bracis-19040	183	6	)	)	PUNCT
bracis-19040	183	7	is	be	AUX
bracis-19040	183	8	acceptable	acceptable	ADJ
bracis-19040	183	9	with	with	ADP
bracis-19040	183	10	respect	respect	NOUN
bracis-19040	183	11	to	to	ADP
bracis-19040	183	12	s	s	PROPN
bracis-19040	183	13	iff	iff	PROPN
bracis-19040	183	14	\(\forall	\(\forall	ADV
bracis-19040	183	15	y	y	PROPN
bracis-19040	183	16	\in	\in	PROPN
bracis-19040	183	17	\mathcal	\mathcal	PROPN
bracis-19040	183	18	a\	a\	NOUN
bracis-19040	183	19	)	)	PUNCT
bracis-19040	183	20	such	such	ADJ
bracis-19040	183	21	that	that	DET
bracis-19040	183	22	\((y	\((y	NOUN
bracis-19040	183	23	,	,	PUNCT
bracis-19040	183	24	x	x	NOUN
bracis-19040	183	25	)	)	PUNCT
bracis-19040	183	26	\in	\in	PROPN
bracis-19040	183	27	\mathcal	\mathcal	PROPN
bracis-19040	183	28	d\	d\	PROPN
bracis-19040	183	29	)	)	PUNCT
bracis-19040	183	30	:	:	PUNCT
bracis-19040	184	1	\(\exists	\(\exists	PROPN
bracis-19040	184	2	z	z	PROPN
bracis-19040	184	3	\in	\in	PROPN
bracis-19040	184	4	s\	s\	NOUN
bracis-19040	184	5	)	)	PUNCT
bracis-19040	184	6	such	such	ADJ
bracis-19040	184	7	that	that	SCONJ
bracis-19040	184	8	\((z	\((z	ADP
bracis-19040	184	9	,	,	PUNCT
bracis-19040	184	10	y	y	PROPN
bracis-19040	184	11	)	)	PUNCT
bracis-19040	184	12	\in	\in	PROPN
bracis-19040	184	13	\mathcal	\mathcal	PROPN
bracis-19040	184	14	d\	d\	PROPN
bracis-19040	184	15	)	)	PUNCT
bracis-19040	184	16	and	and	CCONJ
bracis-19040	184	17	\(\forall	\(\forall	ADV
bracis-19040	184	18	y	y	PROPN
bracis-19040	184	19	\in	\in	PROPN
bracis-19040	184	20	\mathcal	\mathcal	PROPN
bracis-19040	184	21	a\	a\	NOUN
bracis-19040	184	22	)	)	PUNCT
bracis-19040	184	23	such	such	ADJ
bracis-19040	184	24	that	that	DET
bracis-19040	184	25	\((y	\((y	NOUN
bracis-19040	184	26	,	,	PUNCT
bracis-19040	184	27	x	x	NOUN
bracis-19040	184	28	)	)	PUNCT
bracis-19040	184	29	\in	\in	PROPN
bracis-19040	184	30	\mathcal	\mathcal	PROPN
bracis-19040	184	31	d'\	d'\	PROPN
bracis-19040	184	32	)	)	PUNCT
bracis-19040	184	33	:	:	PUNCT
bracis-19040	184	34	\(\exists	\(\exists	PROPN
bracis-19040	184	35	z	z	PROPN
bracis-19040	184	36	\in	\in	PROPN
bracis-19040	184	37	s\	s\	NOUN
bracis-19040	184	38	)	)	PUNCT
bracis-19040	184	39	such	such	ADJ
bracis-19040	184	40	that	that	SCONJ
bracis-19040	184	41	\((z	\((z	ADP
bracis-19040	184	42	,	,	PUNCT
bracis-19040	184	43	y	y	PROPN
bracis-19040	184	44	)	)	PUNCT
bracis-19040	184	45	\in	\in	PROPN
bracis-19040	184	46	\mathcal	\mathcal	PROPN
bracis-19040	184	47	d	d	PROPN
bracis-19040	184	48	\cup	\cup	PROPN
bracis-19040	184	49	\mathcal	\mathcal	PROPN
bracis-19040	184	50	d'\	d'\	PROPN
bracis-19040	184	51	)	)	PUNCT
bracis-19040	184	52	.	.	PUNCT
bracis-19040	185	1	we	we	PRON
bracis-19040	185	2	define	define	VERB
bracis-19040	185	3	\(f	\(f	NOUN
bracis-19040	185	4	_	_	NOUN
bracis-19040	185	5	af	af	X
bracis-19040	185	6	(	(	PUNCT
bracis-19040	185	7	s	s	NOUN
bracis-19040	185	8	)	)	PUNCT
bracis-19040	185	9	=	=	SYM
bracis-19040	185	10	\left\	\left\	PROPN
bracis-19040	185	11	{	{	PUNCT
bracis-19040	185	12	a	a	DET
bracis-19040	185	13	\in	\in	PROPN
bracis-19040	185	14	\mathcal	\mathcal	PROPN
bracis-19040	185	15	a\mid	a\mid	ADP
bracis-19040	185	16	a	a	DET
bracis-19040	185	17	\text	\text	NOUN
bracis-19040	185	18	{	{	PUNCT
bracis-19040	185	19	is	be	AUX
bracis-19040	185	20	acceptable	acceptable	ADJ
bracis-19040	185	21	w.r.t	w.r.t	NOUN
bracis-19040	185	22	.	.	PUNCT
bracis-19040	186	1	}	}	PUNCT
bracis-19040	186	2	s\right\	s\right\	NOUN
bracis-19040	186	3	}	}	PUNCT
bracis-19040	186	4	\	\	NOUN
bracis-19040	186	5	)	)	PUNCT
bracis-19040	186	6	.	.	PUNCT
bracis-19040	187	1	for	for	ADP
bracis-19040	187	2	a	a	DET
bracis-19040	187	3	compatible	compatible	ADJ
bracis-19040	187	4	set	set	NOUN
bracis-19040	187	5	s	s	PRON
bracis-19040	187	6	in	in	ADP
bracis-19040	187	7	\	\	PROPN
bracis-19040	187	8	(	(	PUNCT
bracis-19040	187	9	af	af	PROPN
bracis-19040	187	10	\	\	PROPN
bracis-19040	187	11	)	)	PUNCT
bracis-19040	187	12	,	,	PUNCT
bracis-19040	187	13	we	we	PRON
bracis-19040	187	14	say	say	VERB
bracis-19040	187	15	1	1	NUM
bracis-19040	187	16	)	)	PUNCT
bracis-19040	187	17	s	s	VERB
bracis-19040	187	18	is	be	AUX
bracis-19040	187	19	an	an	DET
bracis-19040	187	20	admissible	admissible	ADJ
bracis-19040	187	21	set	set	NOUN
bracis-19040	187	22	of	of	ADP
bracis-19040	187	23	\	\	PROPN
bracis-19040	187	24	(	(	PUNCT
bracis-19040	187	25	af	af	PROPN
bracis-19040	187	26	\	\	PROPN
bracis-19040	187	27	)	)	PUNCT
bracis-19040	188	1	iff	iff	PROPN
bracis-19040	188	2	\(s	\(	VERB
bracis-19040	188	3	\subseteq	\subseteq	PROPN
bracis-19040	188	4	f	f	X
bracis-19040	188	5	_	_	PUNCT
bracis-19040	188	6	af	af	PROPN
bracis-19040	188	7	(	(	PUNCT
bracis-19040	188	8	s)\	s)\	NOUN
bracis-19040	188	9	)	)	PUNCT
bracis-19040	188	10	;	;	PUNCT
bracis-19040	188	11	2	2	X
bracis-19040	188	12	)	)	PUNCT
bracis-19040	188	13	s	s	VERB
bracis-19040	188	14	is	be	AUX
bracis-19040	188	15	a	a	DET
bracis-19040	188	16	complete	complete	ADJ
bracis-19040	188	17	extension	extension	NOUN
bracis-19040	188	18	of	of	ADP
bracis-19040	188	19	\	\	PROPN
bracis-19040	188	20	(	(	PUNCT
bracis-19040	188	21	af	af	PROPN
bracis-19040	188	22	\	\	PROPN
bracis-19040	188	23	)	)	PUNCT
bracis-19040	188	24	iff	iff	PROPN
bracis-19040	188	25	\(f	\(f	X
bracis-19040	188	26	_	_	NOUN
bracis-19040	188	27	af	af	PROPN
bracis-19040	188	28	(	(	PUNCT
bracis-19040	188	29	s	s	NOUN
bracis-19040	188	30	)	)	PUNCT
bracis-19040	188	31	=	=	SYM
bracis-19040	188	32	s\	s\	NOUN
bracis-19040	188	33	)	)	PUNCT
bracis-19040	188	34	;	;	PUNCT
bracis-19040	188	35	3	3	X
bracis-19040	188	36	)	)	PUNCT
bracis-19040	188	37	s	s	VERB
bracis-19040	188	38	is	be	AUX
bracis-19040	188	39	a	a	DET
bracis-19040	188	40	preferred	preferred	ADJ
bracis-19040	188	41	extension	extension	NOUN
bracis-19040	188	42	of	of	ADP
bracis-19040	188	43	\	\	PROPN
bracis-19040	188	44	(	(	PUNCT
bracis-19040	188	45	af	af	PROPN
bracis-19040	188	46	\	\	PROPN
bracis-19040	188	47	)	)	PUNCT
bracis-19040	189	1	iff	iff	NOUN
bracis-19040	189	2	it	it	PRON
bracis-19040	189	3	is	be	AUX
bracis-19040	189	4	a	a	DET
bracis-19040	189	5	set	set	VERB
bracis-19040	189	6	inclusion	inclusion	NOUN
bracis-19040	189	7	maximal	maximal	ADJ
bracis-19040	189	8	complete	complete	ADJ
bracis-19040	189	9	extension	extension	NOUN
bracis-19040	189	10	of	of	ADP
bracis-19040	189	11	\	\	PROPN
bracis-19040	189	12	(	(	PUNCT
bracis-19040	189	13	af	af	PROPN
bracis-19040	189	14	\	\	PROPN
bracis-19040	189	15	)	)	PUNCT
bracis-19040	189	16	;	;	PUNCT
bracis-19040	189	17	4	4	X
bracis-19040	189	18	)	)	PUNCT
bracis-19040	189	19	s	s	VERB
bracis-19040	189	20	is	be	AUX
bracis-19040	189	21	the	the	DET
bracis-19040	189	22	grounded	ground	VERB
bracis-19040	189	23	extension	extension	NOUN
bracis-19040	189	24	iff	iff	NOUN
bracis-19040	189	25	it	it	PRON
bracis-19040	189	26	is	be	AUX
bracis-19040	189	27	the	the	DET
bracis-19040	189	28	set	set	VERB
bracis-19040	189	29	inclusion	inclusion	NOUN
bracis-19040	189	30	minimal	minimal	ADJ
bracis-19040	189	31	complete	complete	ADJ
bracis-19040	189	32	extension	extension	NOUN
bracis-19040	189	33	of	of	ADP
bracis-19040	189	34	\	\	PROPN
bracis-19040	189	35	(	(	PUNCT
bracis-19040	189	36	af	af	PROPN
bracis-19040	189	37	\	\	PROPN
bracis-19040	189	38	)	)	PUNCT
bracis-19040	189	39	;	;	PUNCT
bracis-19040	189	40	5	5	X
bracis-19040	189	41	)	)	PUNCT
bracis-19040	189	42	s	s	VERB
bracis-19040	189	43	is	be	AUX
bracis-19040	189	44	a	a	DET
bracis-19040	189	45	stable	stable	ADJ
bracis-19040	189	46	extension	extension	NOUN
bracis-19040	189	47	iff	iff	PROPN
bracis-19040	189	48	s	s	VERB
bracis-19040	189	49	is	be	AUX
bracis-19040	189	50	complete	complete	ADJ
bracis-19040	189	51	extension	extension	NOUN
bracis-19040	189	52	of	of	ADP
bracis-19040	189	53	\	\	PROPN
bracis-19040	189	54	(	(	PUNCT
bracis-19040	189	55	af	af	PROPN
bracis-19040	189	56	\	\	PROPN
bracis-19040	189	57	)	)	PUNCT
bracis-19040	190	1	and	and	CCONJ
bracis-19040	190	2	\(\forall	\(\forall	ADV
bracis-19040	190	3	y	y	PROPN
bracis-19040	190	4	\not	\not	ADV
bracis-19040	190	5	\in	\in	PROPN
bracis-19040	190	6	s\	s\	NOUN
bracis-19040	190	7	)	)	PUNCT
bracis-19040	190	8	,	,	PUNCT
bracis-19040	190	9	\(\exists	\(\exist	NOUN
bracis-19040	190	10	x	x	X
bracis-19040	190	11	\in	\in	ADJ
bracis-19040	190	12	s\	s\	NOUN
bracis-19040	190	13	)	)	PUNCT
bracis-19040	190	14	s.t	s.t	PROPN
bracis-19040	190	15	.	.	PROPN
bracis-19040	190	16	\((x	\((x	PROPN
bracis-19040	190	17	,	,	PUNCT
bracis-19040	190	18	y	y	PROPN
bracis-19040	190	19	)	)	PUNCT
bracis-19040	190	20	\in	\in	PROPN
bracis-19040	191	1	\mathcal	\mathcal	PROPN
bracis-19040	191	2	d	d	PROPN
bracis-19040	191	3	\cup	\cup	PROPN
bracis-19040	191	4	\mathcal	\mathcal	PROPN
bracis-19040	191	5	d'\	d'\	PROPN
bracis-19040	191	6	)	)	PUNCT
bracis-19040	191	7	.	.	PUNCT
bracis-19040	192	1	6	6	X
bracis-19040	192	2	)	)	PUNCT
bracis-19040	192	3	s	s	VERB
bracis-19040	192	4	is	be	AUX
bracis-19040	192	5	a	a	DET
bracis-19040	192	6	semi	semi	ADJ
bracis-19040	192	7	-	-	ADJ
bracis-19040	192	8	stable	stable	ADJ
bracis-19040	192	9	extension	extension	NOUN
bracis-19040	192	10	iff	iff	NOUN
bracis-19040	192	11	it	it	PRON
bracis-19040	192	12	is	be	AUX
bracis-19040	192	13	a	a	DET
bracis-19040	192	14	complete	complete	ADJ
bracis-19040	192	15	extension	extension	NOUN
bracis-19040	192	16	of	of	ADP
bracis-19040	192	17	\	\	PROPN
bracis-19040	192	18	(	(	PUNCT
bracis-19040	192	19	af	af	PROPN
bracis-19040	192	20	\	\	PROPN
bracis-19040	192	21	)	)	PUNCT
bracis-19040	192	22	such	such	ADJ
bracis-19040	192	23	that	that	SCONJ
bracis-19040	192	24	there	there	PRON
bracis-19040	192	25	is	be	VERB
bracis-19040	192	26	no	no	DET
bracis-19040	192	27	complete	complete	ADJ
bracis-19040	192	28	extension	extension	NOUN
bracis-19040	192	29	\(s_1\	\(s_1\	NOUN
bracis-19040	192	30	)	)	PUNCT
bracis-19040	192	31	of	of	ADP
bracis-19040	192	32	\	\	PROPN
bracis-19040	192	33	(	(	PUNCT
bracis-19040	192	34	af	af	PROPN
bracis-19040	192	35	\	\	PROPN
bracis-19040	192	36	)	)	PUNCT
bracis-19040	192	37	in	in	ADP
bracis-19040	192	38	which	which	PRON
bracis-19040	192	39	\(s	\(s	ADV
bracis-19040	192	40	\cup	\cup	VERB
bracis-19040	192	41	s^+	s^+	ADJ
bracis-19040	192	42	\subset	\subset	PROPN
bracis-19040	192	43	s_1	s_1	NOUN
bracis-19040	192	44	\cup	\cup	VERB
bracis-19040	192	45	s_1^+\	s_1^+\	PROPN
bracis-19040	192	46	)	)	PUNCT
bracis-19040	192	47	.	.	PUNCT
bracis-19040	193	1	notice	notice	VERB
bracis-19040	193	2	for	for	ADP
bracis-19040	193	3	an	an	DET
bracis-19040	193	4	argument	argument	NOUN
bracis-19040	193	5	x	x	PART
bracis-19040	193	6	to	to	PART
bracis-19040	193	7	be	be	AUX
bracis-19040	193	8	acceptable	acceptable	ADJ
bracis-19040	193	9	w.r.t	w.r.t	NOUN
bracis-19040	193	10	.	.	PUNCT
bracis-19040	194	1	s	s	X
bracis-19040	194	2	,	,	PUNCT
bracis-19040	194	3	if	if	SCONJ
bracis-19040	194	4	\((y	\((y	PROPN
bracis-19040	194	5	,	,	PUNCT
bracis-19040	194	6	x	x	NOUN
bracis-19040	194	7	)	)	PUNCT
bracis-19040	194	8	\in	\in	PROPN
bracis-19040	194	9	\mathcal	\mathcal	PROPN
bracis-19040	194	10	d\	d\	PROPN
bracis-19040	194	11	)	)	PUNCT
bracis-19040	194	12	,	,	PUNCT
bracis-19040	194	13	there	there	PRON
bracis-19040	194	14	should	should	AUX
bracis-19040	194	15	exist	exist	VERB
bracis-19040	194	16	an	an	DET
bracis-19040	194	17	argument	argument	NOUN
bracis-19040	194	18	\(z	\(z	DET
bracis-19040	194	19	\in	\in	PROPN
bracis-19040	194	20	s\	s\	NOUN
bracis-19040	194	21	)	)	PUNCT
bracis-19040	194	22	such	such	ADJ
bracis-19040	194	23	that	that	SCONJ
bracis-19040	194	24	\((z	\((z	PROPN
bracis-19040	194	25	,	,	PUNCT
bracis-19040	194	26	y	y	NOUN
bracis-19040	194	27	)	)	PUNCT
bracis-19040	194	28	\in	\in	PROPN
bracis-19040	194	29	\mathcal	\mathcal	PROPN
bracis-19040	194	30	d\	d\	PROPN
bracis-19040	194	31	)	)	PUNCT
bracis-19040	194	32	,	,	PUNCT
bracis-19040	194	33	i.e.	i.e.	X
bracis-19040	194	34	,	,	PUNCT
bracis-19040	194	35	a	a	DET
bracis-19040	194	36	weak	weak	ADJ
bracis-19040	194	37	defeat	defeat	NOUN
bracis-19040	194	38	as	as	ADP
bracis-19040	194	39	\((z	\((z	PROPN
bracis-19040	194	40	,	,	PUNCT
bracis-19040	194	41	y	y	NOUN
bracis-19040	194	42	)	)	PUNCT
bracis-19040	194	43	\in	\in	PROPN
bracis-19040	194	44	\mathcal	\mathcal	PROPN
bracis-19040	194	45	d'\	d'\	PROPN
bracis-19040	194	46	)	)	PUNCT
bracis-19040	194	47	is	be	AUX
bracis-19040	194	48	not	not	PART
bracis-19040	194	49	robust	robust	ADJ
bracis-19040	194	50	enough	enough	ADV
bracis-19040	194	51	to	to	PART
bracis-19040	194	52	defend	defend	VERB
bracis-19040	194	53	a	a	DET
bracis-19040	194	54	defeat	defeat	NOUN
bracis-19040	194	55	as	as	ADP
bracis-19040	194	56	\((y	\((y	PROPN
bracis-19040	194	57	,	,	PUNCT
bracis-19040	194	58	x	x	NOUN
bracis-19040	194	59	)	)	PUNCT
bracis-19040	194	60	\in	\in	PROPN
bracis-19040	194	61	\mathcal	\mathcal	PROPN
bracis-19040	194	62	d\	d\	PROPN
bracis-19040	194	63	)	)	PUNCT
bracis-19040	194	64	.	.	PUNCT
bracis-19040	195	1	otherwise	otherwise	ADV
bracis-19040	195	2	,	,	PUNCT
bracis-19040	195	3	x	x	PRON
bracis-19040	195	4	defends	defend	VERB
bracis-19040	195	5	a	a	DET
bracis-19040	195	6	weak	weak	ADJ
bracis-19040	195	7	defeat	defeat	NOUN
bracis-19040	195	8	\((y	\((y	NOUN
bracis-19040	195	9	,	,	PUNCT
bracis-19040	195	10	x	x	NOUN
bracis-19040	195	11	)	)	PUNCT
bracis-19040	195	12	\in	\in	PROPN
bracis-19040	195	13	\mathcal	\mathcal	PROPN
bracis-19040	195	14	d'\	d'\	PROPN
bracis-19040	195	15	)	)	PUNCT
bracis-19040	195	16	if	if	SCONJ
bracis-19040	195	17	\(\exists	\(\exist	NOUN
bracis-19040	195	18	z	z	PROPN
bracis-19040	195	19	\in	\in	PROPN
bracis-19040	195	20	s\	s\	NOUN
bracis-19040	195	21	)	)	PUNCT
bracis-19040	195	22	such	such	ADJ
bracis-19040	195	23	that	that	SCONJ
bracis-19040	195	24	z	z	NOUN
bracis-19040	195	25	(	(	PUNCT
bracis-19040	195	26	weak	weak	ADJ
bracis-19040	195	27	)	)	PUNCT
bracis-19040	195	28	defeats	defeat	VERB
bracis-19040	195	29	y.	y.	NOUN
bracis-19040	195	30	example	example	NOUN
bracis-19040	195	31	4	4	NUM
bracis-19040	195	32	(	(	PUNCT
bracis-19040	195	33	example	example	NOUN
bracis-19040	195	34	3	3	NUM
bracis-19040	195	35	continued	continue	VERB
bracis-19040	195	36	)	)	PUNCT
bracis-19040	195	37	.	.	PUNCT
bracis-19040	196	1	regarding	regard	VERB
bracis-19040	196	2	the	the	DET
bracis-19040	196	3	\	\	NOUN
bracis-19040	196	4	(	(	PUNCT
bracis-19040	196	5	af	af	X
bracis-19040	196	6	_	_	NOUN
bracis-19040	196	7	2\	2\	X
bracis-19040	196	8	)	)	PUNCT
bracis-19040	196	9	constructed	construct	VERB
bracis-19040	196	10	in	in	ADP
bracis-19040	196	11	example	example	NOUN
bracis-19040	196	12	3	3	NUM
bracis-19040	196	13	,	,	PUNCT
bracis-19040	196	14	we	we	PRON
bracis-19040	196	15	obtain	obtain	VERB
bracis-19040	196	16	complete	complete	ADJ
bracis-19040	196	17	extensions	extension	NOUN
bracis-19040	196	18	:	:	PUNCT
bracis-19040	196	19	\(\left\	\(\left\	ADJ
bracis-19040	196	20	{	{	PUNCT
bracis-19040	196	21	a_1	a_1	PROPN
bracis-19040	196	22	,	,	PUNCT
bracis-19040	196	23	a_3	a_3	PROPN
bracis-19040	196	24	,	,	PUNCT
bracis-19040	196	25	a_4\right\	a_4\right\	NOUN
bracis-19040	196	26	}	}	PUNCT
bracis-19040	196	27	\	\	NOUN
bracis-19040	196	28	)	)	PUNCT
bracis-19040	196	29	,	,	PUNCT
bracis-19040	196	30	\(\left\	\(\left\	PROPN
bracis-19040	196	31	{	{	PUNCT
bracis-19040	196	32	a_1	a_1	PROPN
bracis-19040	196	33	,	,	PUNCT
bracis-19040	196	34	a_3	a_3	PROPN
bracis-19040	196	35	,	,	PUNCT
bracis-19040	196	36	a_4	a_4	PROPN
bracis-19040	196	37	,	,	PUNCT
bracis-19040	196	38	a_5\right\	a_5\right\	ADJ
bracis-19040	196	39	}	}	PUNCT
bracis-19040	196	40	\	\	NOUN
bracis-19040	196	41	)	)	PUNCT
bracis-19040	196	42	,	,	PUNCT
bracis-19040	196	43	\(\left\	\(\left\	PROPN
bracis-19040	196	44	{	{	PUNCT
bracis-19040	196	45	a_1	a_1	PROPN
bracis-19040	196	46	,	,	PUNCT
bracis-19040	196	47	a_3	a_3	PROPN
bracis-19040	196	48	,	,	PUNCT
bracis-19040	196	49	a_4	a_4	PROPN
bracis-19040	196	50	,	,	PUNCT
bracis-19040	196	51	a_6\right\	a_6\right\	PROPN
bracis-19040	196	52	}	}	PUNCT
bracis-19040	196	53	\	\	NOUN
bracis-19040	196	54	)	)	PUNCT
bracis-19040	196	55	,	,	PUNCT
bracis-19040	196	56	\(\{a_1,a_3	\(\{a_1,a_3	X
bracis-19040	196	57	,	,	PUNCT
bracis-19040	196	58	a_4	a_4	ADV
bracis-19040	196	59	,	,	PUNCT
bracis-19040	196	60	a_5	a_5	VERB
bracis-19040	196	61	,	,	PUNCT
bracis-19040	196	62	a_6	a_6	PROPN
bracis-19040	196	63	\}\	\}\	NUM
bracis-19040	196	64	)	)	PUNCT
bracis-19040	196	65	;	;	PUNCT
bracis-19040	197	1	grounded	ground	VERB
bracis-19040	197	2	extension	extension	NOUN
bracis-19040	197	3	:	:	PUNCT
bracis-19040	197	4	\(\left\	\(\left\	PROPN
bracis-19040	197	5	{	{	PUNCT
bracis-19040	197	6	a_1	a_1	PROPN
bracis-19040	197	7	,	,	PUNCT
bracis-19040	197	8	a_3	a_3	PROPN
bracis-19040	197	9	,	,	PUNCT
bracis-19040	197	10	a_4\right\	a_4\right\	NOUN
bracis-19040	197	11	}	}	PUNCT
bracis-19040	197	12	\	\	NOUN
bracis-19040	197	13	)	)	PUNCT
bracis-19040	197	14	;	;	PUNCT
bracis-19040	197	15	preferred	preferred	ADJ
bracis-19040	197	16	extension	extension	NOUN
bracis-19040	197	17	:	:	PUNCT
bracis-19040	197	18	\(\left\	\(\left\	PROPN
bracis-19040	197	19	{	{	PUNCT
bracis-19040	197	20	a_1	a_1	PROPN
bracis-19040	197	21	,	,	PUNCT
bracis-19040	197	22	a_3	a_3	PROPN
bracis-19040	197	23	,	,	PUNCT
bracis-19040	197	24	a_4	a_4	PROPN
bracis-19040	197	25	,	,	PUNCT
bracis-19040	197	26	a_5	a_5	VERB
bracis-19040	197	27	,	,	PUNCT
bracis-19040	197	28	a_6\right\	a_6\right\	ADJ
bracis-19040	197	29	}	}	PUNCT
bracis-19040	197	30	\	\	ADJ
bracis-19040	197	31	)	)	PUNCT
bracis-19040	197	32	stable	stable	ADJ
bracis-19040	197	33	/	/	SYM
bracis-19040	197	34	semi	semi	ADJ
bracis-19040	197	35	-	-	ADJ
bracis-19040	197	36	stable	stable	ADJ
bracis-19040	197	37	extensions	extension	NOUN
bracis-19040	197	38	:	:	PUNCT
bracis-19040	197	39	\(\left\	\(\left\	ADJ
bracis-19040	197	40	{	{	PUNCT
bracis-19040	197	41	a_1	a_1	PROPN
bracis-19040	197	42	,	,	PUNCT
bracis-19040	197	43	a_3	a_3	PROPN
bracis-19040	197	44	,	,	PUNCT
bracis-19040	197	45	a_4	a_4	PROPN
bracis-19040	197	46	,	,	PUNCT
bracis-19040	197	47	a_6\right\	a_6\right\	PROPN
bracis-19040	197	48	}	}	PUNCT
bracis-19040	197	49	\	\	NOUN
bracis-19040	197	50	)	)	PUNCT
bracis-19040	197	51	,	,	PUNCT
bracis-19040	197	52	\(\left\	\(\left\	PROPN
bracis-19040	197	53	{	{	PUNCT
bracis-19040	197	54	a_1	a_1	PROPN
bracis-19040	197	55	,	,	PUNCT
bracis-19040	197	56	a_3	a_3	PROPN
bracis-19040	197	57	,	,	PUNCT
bracis-19040	197	58	a_4	a_4	PROPN
bracis-19040	197	59	,	,	PUNCT
bracis-19040	197	60	a_5	a_5	VERB
bracis-19040	197	61	,	,	PUNCT
bracis-19040	197	62	a_6\right\	a_6\right\	ADJ
bracis-19040	197	63	}	}	PUNCT
bracis-19040	197	64	\	\	NOUN
bracis-19040	197	65	)	)	PUNCT
bracis-19040	197	66	3	3	NUM
bracis-19040	197	67	the	the	DET
bracis-19040	197	68	postulates	postulate	NOUN
bracis-19040	197	69	of	of	ADP
bracis-19040	197	70	non	non	ADJ
bracis-19040	197	71	-	-	ADJ
bracis-19040	197	72	interference	interference	NOUN
bracis-19040	197	73	and	and	CCONJ
bracis-19040	197	74	crash	crash	NOUN
bracis-19040	197	75	-	-	PUNCT
bracis-19040	197	76	resistance	resistance	NOUN
bracis-19040	197	77	in	in	ADP
bracis-19040	197	78	this	this	DET
bracis-19040	197	79	section	section	NOUN
bracis-19040	197	80	,	,	PUNCT
bracis-19040	197	81	we	we	PRON
bracis-19040	197	82	show	show	VERB
bracis-19040	197	83	under	under	ADP
bracis-19040	197	84	which	which	PRON
bracis-19040	197	85	conditions	condition	NOUN
bracis-19040	197	86	,	,	PUNCT
bracis-19040	197	87	\	\	PROPN
bracis-19040	197	88	(	(	PUNCT
bracis-19040	197	89	aspic	aspic	NOUN
bracis-19040	197	90	^?\	^?\	NUM
bracis-19040	197	91	)	)	PUNCT
bracis-19040	197	92	satisfies	satisfy	VERB
bracis-19040	197	93	the	the	DET
bracis-19040	197	94	property	property	NOUN
bracis-19040	197	95	that	that	PRON
bracis-19040	197	96	a	a	DET
bracis-19040	197	97	conflict	conflict	NOUN
bracis-19040	197	98	between	between	ADP
bracis-19040	197	99	two	two	NUM
bracis-19040	197	100	arguments	argument	NOUN
bracis-19040	197	101	should	should	AUX
bracis-19040	197	102	not	not	PART
bracis-19040	197	103	interfere	interfere	VERB
bracis-19040	197	104	with	with	ADP
bracis-19040	197	105	the	the	DET
bracis-19040	197	106	acceptability	acceptability	NOUN
bracis-19040	197	107	of	of	ADP
bracis-19040	197	108	other	other	ADJ
bracis-19040	197	109	unrelated	unrelated	ADJ
bracis-19040	197	110	arguments	argument	NOUN
bracis-19040	197	111	.	.	PUNCT
bracis-19040	198	1	let	let	VERB
bracis-19040	198	2	us	we	PRON
bracis-19040	198	3	illustrate	illustrate	VERB
bracis-19040	198	4	it	it	PRON
bracis-19040	198	5	via	via	ADP
bracis-19040	198	6	the	the	DET
bracis-19040	198	7	following	follow	VERB
bracis-19040	198	8	example	example	NOUN
bracis-19040	198	9	:	:	PUNCT
bracis-19040	198	10	example	example	NOUN
bracis-19040	198	11	5	5	NUM
bracis-19040	198	12	[	[	SYM
bracis-19040	198	13	6	6	NUM
bracis-19040	198	14	]	]	PUNCT
bracis-19040	198	15	let	let	VERB
bracis-19040	198	16	\(\mathcal	\(\mathcal	ADJ
bracis-19040	198	17	r_d=	r_d=	NOUN
bracis-19040	198	18	\left\	\left\	PROPN
bracis-19040	198	19	{	{	PUNCT
bracis-19040	198	20	p	p	PROPN
bracis-19040	198	21	\rightarrow	\rightarrow	PROPN
bracis-19040	198	22	q	q	X
bracis-19040	198	23	;	;	PUNCT
bracis-19040	198	24	r	r	NOUN
bracis-19040	198	25	\rightarrow	\rightarrow	PROPN
bracis-19040	198	26	\lnot	\lnot	PROPN
bracis-19040	198	27	q	q	NOUN
bracis-19040	198	28	;	;	PUNCT
bracis-19040	198	29	t	t	PROPN
bracis-19040	198	30	\rightarrow	\rightarrow	PROPN
bracis-19040	198	31	s	s	PROPN
bracis-19040	198	32	\right\	\right\	ADV
bracis-19040	198	33	}	}	PUNCT
bracis-19040	198	34	\	\	NOUN
bracis-19040	198	35	)	)	PUNCT
bracis-19040	198	36	be	be	AUX
bracis-19040	198	37	a	a	DET
bracis-19040	198	38	set	set	NOUN
bracis-19040	198	39	of	of	ADP
bracis-19040	198	40	defeasible	defeasible	ADJ
bracis-19040	198	41	rules	rule	NOUN
bracis-19040	198	42	in	in	ADP
bracis-19040	198	43	\	\	PROPN
bracis-19040	198	44	(	(	PUNCT
bracis-19040	198	45	aspic	aspic	NOUN
bracis-19040	198	46	^+\	^+\	ADJ
bracis-19040	198	47	)	)	PUNCT
bracis-19040	198	48	(	(	PUNCT
bracis-19040	198	49	their	their	PRON
bracis-19040	198	50	conclusions	conclusion	NOUN
bracis-19040	198	51	are	be	AUX
bracis-19040	198	52	not	not	PART
bracis-19040	198	53	?	?	PUNCT
bracis-19040	199	1	-suffixed	-suffixed	ADJ
bracis-19040	199	2	formulas	formula	NOUN
bracis-19040	199	3	)	)	PUNCT
bracis-19040	199	4	,	,	PUNCT
bracis-19040	199	5	\(\mathcal	\(\mathcal	ADJ
bracis-19040	199	6	k_p=	k_p=	NOUN
bracis-19040	199	7	\emptyset	\emptyset	VERB
bracis-19040	199	8	\	\	NOUN
bracis-19040	199	9	)	)	PUNCT
bracis-19040	199	10	and	and	CCONJ
bracis-19040	199	11	\(\mathcal	\(\mathcal	ADJ
bracis-19040	199	12	k_n=	k_n=	NOUN
bracis-19040	199	13	\left\	\left\	PROPN
bracis-19040	199	14	{	{	PUNCT
bracis-19040	199	15	p	p	X
bracis-19040	199	16	,	,	PUNCT
bracis-19040	199	17	r	r	NOUN
bracis-19040	199	18	,	,	PUNCT
bracis-19040	199	19	t\right\	t\right\	NOUN
bracis-19040	199	20	}	}	PUNCT
bracis-19040	199	21	\	\	NOUN
bracis-19040	199	22	)	)	PUNCT
bracis-19040	199	23	,	,	PUNCT
bracis-19040	199	24	while	while	SCONJ
bracis-19040	199	25	\(\mathcal	\(\mathcal	ADJ
bracis-19040	199	26	r_s\	r_s\	NOUN
bracis-19040	199	27	)	)	PUNCT
bracis-19040	199	28	consists	consist	VERB
bracis-19040	199	29	of	of	ADP
bracis-19040	199	30	all	all	DET
bracis-19040	199	31	propositionally	propositionally	ADV
bracis-19040	199	32	valid	valid	ADJ
bracis-19040	199	33	inferences	inference	NOUN
bracis-19040	199	34	.	.	PUNCT
bracis-19040	200	1	the	the	DET
bracis-19040	200	2	corresponding	correspond	VERB
bracis-19040	200	3	\	\	PROPN
bracis-19040	200	4	(	(	PUNCT
bracis-19040	200	5	af	af	PROPN
bracis-19040	200	6	\	\	PROPN
bracis-19040	200	7	)	)	PUNCT
bracis-19040	200	8	includes	include	VERB
bracis-19040	200	9	the	the	DET
bracis-19040	200	10	arguments	argument	NOUN
bracis-19040	200	11	\(a_1	\(a_1	PROPN
bracis-19040	200	12	=	=	PUNCT
bracis-19040	200	13	[	[	X
bracis-19040	200	14	p]\	p]\	NOUN
bracis-19040	200	15	)	)	PUNCT
bracis-19040	200	16	,	,	PUNCT
bracis-19040	200	17	\(a_2	\(a_2	PROPN
bracis-19040	200	18	=	=	PUNCT
bracis-19040	200	19	[	[	PUNCT
bracis-19040	200	20	a_1	a_1	X
bracis-19040	200	21	\rightarrow	\rightarrow	PROPN
bracis-19040	200	22	q]\	q]\	PROPN
bracis-19040	200	23	)	)	PUNCT
bracis-19040	200	24	,	,	PUNCT
bracis-19040	200	25	\(b_1	\(b_1	PROPN
bracis-19040	200	26	=	=	PUNCT
bracis-19040	201	1	[	[	X
bracis-19040	201	2	r]\	r]\	NOUN
bracis-19040	201	3	)	)	PUNCT
bracis-19040	201	4	,	,	PUNCT
bracis-19040	201	5	\(b_2	\(b_2	PROPN
bracis-19040	201	6	=	=	PUNCT
bracis-19040	202	1	[	[	X
bracis-19040	202	2	b_1	b_1	X
bracis-19040	202	3	\rightarrow	\rightarrow	PROPN
bracis-19040	202	4	\lnot	\lnot	PROPN
bracis-19040	202	5	q]\	q]\	PROPN
bracis-19040	202	6	)	)	PUNCT
bracis-19040	202	7	,	,	PUNCT
bracis-19040	202	8	\(c	\(c	NOUN
bracis-19040	202	9	=	=	PUNCT
bracis-19040	203	1	[	[	X
bracis-19040	203	2	a_2	a_2	PROPN
bracis-19040	203	3	,	,	PUNCT
bracis-19040	203	4	b_2	b_2	PROPN
bracis-19040	203	5	\rightarrow	\rightarrow	PROPN
bracis-19040	203	6	\lnot	\lnot	PROPN
bracis-19040	203	7	s]\	s]\	NOUN
bracis-19040	203	8	)	)	PUNCT
bracis-19040	203	9	,	,	PUNCT
bracis-19040	203	10	\(d_1	\(d_1	PROPN
bracis-19040	203	11	=	=	PUNCT
bracis-19040	203	12	[	[	X
bracis-19040	203	13	t]\	t]\	NOUN
bracis-19040	203	14	)	)	PUNCT
bracis-19040	203	15	and	and	CCONJ
bracis-19040	203	16	\(d_2	\(d_2	NOUN
bracis-19040	203	17	=	=	PUNCT
bracis-19040	204	1	[	[	X
bracis-19040	204	2	d_1	d_1	X
bracis-19040	204	3	\rightarrow	\rightarrow	PROPN
bracis-19040	204	4	s]\	s]\	PROPN
bracis-19040	204	5	)	)	PUNCT
bracis-19040	204	6	.	.	PUNCT
bracis-19040	205	1	we	we	PRON
bracis-19040	205	2	have	have	VERB
bracis-19040	205	3	c	c	NOUN
bracis-19040	205	4	defeats	defeat	NOUN
bracis-19040	205	5	\(d_2\	\(d_2\	PROPN
bracis-19040	205	6	)	)	PUNCT
bracis-19040	205	7	if	if	SCONJ
bracis-19040	205	8	\(c	\(c	NUM
bracis-19040	205	9	\not	\not	ADV
bracis-19040	205	10	\prec	\prec	PROPN
bracis-19040	205	11	d_2\	d_2\	PROPN
bracis-19040	205	12	)	)	PUNCT
bracis-19040	205	13	.	.	PUNCT
bracis-19040	206	1	this	this	PRON
bracis-19040	206	2	is	be	AUX
bracis-19040	206	3	problematic	problematic	ADJ
bracis-19040	206	4	as	as	SCONJ
bracis-19040	206	5	s	s	NOUN
bracis-19040	206	6	can	can	AUX
bracis-19040	206	7	be	be	AUX
bracis-19040	206	8	any	any	DET
bracis-19040	206	9	formula	formula	NOUN
bracis-19040	206	10	.	.	PUNCT
bracis-19040	207	1	hence	hence	ADV
bracis-19040	207	2	,	,	PUNCT
bracis-19040	207	3	any	any	DET
bracis-19040	207	4	defeasible	defeasible	ADJ
bracis-19040	207	5	argument	argument	NOUN
bracis-19040	207	6	unrelated	unrelated	ADJ
bracis-19040	207	7	to	to	ADP
bracis-19040	207	8	\(a_2\	\(a_2\	PROPN
bracis-19040	207	9	)	)	PUNCT
bracis-19040	207	10	or	or	CCONJ
bracis-19040	207	11	\(b_2\	\(b_2\	PROPN
bracis-19040	207	12	)	)	PUNCT
bracis-19040	207	13	can	can	AUX
bracis-19040	207	14	,	,	PUNCT
bracis-19040	207	15	depending	depend	VERB
bracis-19040	207	16	on	on	ADP
bracis-19040	207	17	\(\preceq	\(\preceq	X
bracis-19040	207	18	\	\	NOUN
bracis-19040	207	19	)	)	PUNCT
bracis-19040	207	20	,	,	PUNCT
bracis-19040	207	21	be	be	AUX
bracis-19040	207	22	defeated	defeat	VERB
bracis-19040	207	23	by	by	ADP
bracis-19040	207	24	c	c	NOUN
bracis-19040	207	25	owing	owe	VERB
bracis-19040	207	26	to	to	ADP
bracis-19040	207	27	the	the	DET
bracis-19040	207	28	explosiveness	explosiveness	NOUN
bracis-19040	207	29	of	of	ADP
bracis-19040	207	30	classical	classical	ADJ
bracis-19040	207	31	logic	logic	NOUN
bracis-19040	207	32	as	as	ADP
bracis-19040	207	33	the	the	DET
bracis-19040	207	34	source	source	NOUN
bracis-19040	207	35	for	for	ADP
bracis-19040	207	36	\(\mathcal	\(\mathcal	ADJ
bracis-19040	207	37	r_s\	r_s\	NOUN
bracis-19040	207	38	)	)	PUNCT
bracis-19040	207	39	.	.	PUNCT
bracis-19040	208	1	this	this	DET
bracis-19040	208	2	property	property	NOUN
bracis-19040	208	3	is	be	AUX
bracis-19040	208	4	guaranteed	guarantee	VERB
bracis-19040	208	5	by	by	ADP
bracis-19040	208	6	proving	prove	VERB
bracis-19040	208	7	the	the	DET
bracis-19040	208	8	postulates	postulate	NOUN
bracis-19040	208	9	(	(	PUNCT
bracis-19040	208	10	originally	originally	ADV
bracis-19040	208	11	conceived	conceive	VERB
bracis-19040	208	12	in	in	ADP
bracis-19040	208	13	[	[	X
bracis-19040	208	14	10	10	NUM
bracis-19040	208	15	]	]	NUM
bracis-19040	208	16	)	)	PUNCT
bracis-19040	208	17	of	of	ADP
bracis-19040	208	18	non	non	ADJ
bracis-19040	208	19	-	-	NOUN
bracis-19040	208	20	interference	interference	NOUN
bracis-19040	208	21	(	(	PUNCT
bracis-19040	208	22	definition	definition	NOUN
bracis-19040	208	23	22	22	NUM
bracis-19040	208	24	)	)	PUNCT
bracis-19040	208	25	and	and	CCONJ
bracis-19040	208	26	crash	crash	NOUN
bracis-19040	208	27	-	-	PUNCT
bracis-19040	208	28	resistance	resistance	NOUN
bracis-19040	208	29	(	(	PUNCT
bracis-19040	208	30	definition	definition	NOUN
bracis-19040	208	31	25	25	NUM
bracis-19040	208	32	)	)	PUNCT
bracis-19040	208	33	hold	hold	VERB
bracis-19040	208	34	in	in	ADP
bracis-19040	208	35	\	\	PROPN
bracis-19040	208	36	(	(	PUNCT
bracis-19040	208	37	aspic	aspic	NOUN
bracis-19040	208	38	^?\	^?\	NUM
bracis-19040	208	39	)	)	PUNCT
bracis-19040	208	40	.	.	PUNCT
bracis-19040	209	1	unlike	unlike	ADP
bracis-19040	209	2	[	[	X
bracis-19040	209	3	7	7	NUM
bracis-19040	209	4	,	,	PUNCT
bracis-19040	209	5	8	8	NUM
bracis-19040	209	6	]	]	PUNCT
bracis-19040	209	7	,	,	PUNCT
bracis-19040	209	8	however	however	ADV
bracis-19040	209	9	,	,	PUNCT
bracis-19040	209	10	we	we	PRON
bracis-19040	209	11	will	will	AUX
bracis-19040	209	12	not	not	PART
bracis-19040	209	13	eliminate	eliminate	VERB
bracis-19040	209	14	all	all	DET
bracis-19040	209	15	arguments	argument	NOUN
bracis-19040	209	16	whose	whose	DET
bracis-19040	209	17	set	set	NOUN
bracis-19040	209	18	of	of	ADP
bracis-19040	209	19	conclusions	conclusion	NOUN
bracis-19040	209	20	of	of	ADP
bracis-19040	209	21	all	all	DET
bracis-19040	209	22	its	its	PRON
bracis-19040	209	23	sub	sub	NOUN
bracis-19040	209	24	-	-	NOUN
bracis-19040	209	25	arguments	argument	NOUN
bracis-19040	209	26	is	be	AUX
bracis-19040	209	27	contradictory	contradictory	ADJ
bracis-19040	209	28	,	,	PUNCT
bracis-19040	209	29	but	but	CCONJ
bracis-19040	209	30	only	only	ADV
bracis-19040	209	31	those	those	PRON
bracis-19040	209	32	whose	whose	DET
bracis-19040	209	33	set	set	NOUN
bracis-19040	209	34	of	of	ADP
bracis-19040	209	35	conclusions	conclusion	NOUN
bracis-19040	209	36	contains	contain	VERB
bracis-19040	209	37	strong	strong	ADJ
bracis-19040	209	38	contradictions	contradiction	NOUN
bracis-19040	209	39	as	as	ADP
bracis-19040	209	40	\(\left\	\(\left\	PROPN
bracis-19040	209	41	{	{	PUNCT
bracis-19040	209	42	\phi	\phi	PROPN
bracis-19040	209	43	,	,	PUNCT
bracis-19040	209	44	\lnot	\lnot	PROPN
bracis-19040	209	45	\phi	\phi	PROPN
bracis-19040	209	46	\right\	\right\	ADJ
bracis-19040	209	47	}	}	PUNCT
bracis-19040	209	48	\	\	NOUN
bracis-19040	209	49	)	)	PUNCT
bracis-19040	209	50	,	,	PUNCT
bracis-19040	209	51	\(\left\	\(\left\	PROPN
bracis-19040	209	52	{	{	PUNCT
bracis-19040	209	53	\phi	\phi	PROPN
bracis-19040	209	54	,	,	PUNCT
bracis-19040	209	55	\lnot	\lnot	INTJ
bracis-19040	209	56	\phi	\phi	PROPN
bracis-19040	209	57	?	?	SYM
bracis-19040	209	58	\right\	\right\	ADJ
bracis-19040	209	59	}	}	PUNCT
bracis-19040	209	60	\	\	NOUN
bracis-19040	209	61	)	)	PUNCT
bracis-19040	209	62	or	or	CCONJ
bracis-19040	209	63	\(\left\	\(\left\	PROPN
bracis-19040	209	64	{	{	PUNCT
bracis-19040	209	65	\lnot	\lnot	INTJ
bracis-19040	209	66	\phi	\phi	PROPN
bracis-19040	209	67	,	,	PUNCT
bracis-19040	209	68	\phi	\phi	PROPN
bracis-19040	209	69	?	?	SYM
bracis-19040	209	70	\right\	\right\	ADJ
bracis-19040	209	71	}	}	PUNCT
bracis-19040	209	72	\	\	NOUN
bracis-19040	209	73	)	)	PUNCT
bracis-19040	209	74	.	.	PUNCT
bracis-19040	210	1	weak	weak	ADJ
bracis-19040	210	2	contradictions	contradiction	NOUN
bracis-19040	210	3	as	as	ADP
bracis-19040	210	4	\(\left\	\(\left\	PROPN
bracis-19040	210	5	{	{	PUNCT
bracis-19040	210	6	\phi	\phi	PROPN
bracis-19040	210	7	?	?	PUNCT
bracis-19040	210	8	,	,	PUNCT
bracis-19040	210	9	\lnot	\lnot	PROPN
bracis-19040	210	10	\phi	\phi	PROPN
bracis-19040	210	11	?	?	SYM
bracis-19040	210	12	\right\	\right\	ADJ
bracis-19040	210	13	}	}	PUNCT
bracis-19040	210	14	\	\	NOUN
bracis-19040	210	15	)	)	PUNCT
bracis-19040	210	16	will	will	AUX
bracis-19040	210	17	not	not	PART
bracis-19040	210	18	lead	lead	VERB
bracis-19040	210	19	to	to	ADP
bracis-19040	210	20	the	the	DET
bracis-19040	210	21	elimination	elimination	NOUN
bracis-19040	210	22	of	of	ADP
bracis-19040	210	23	the	the	DET
bracis-19040	210	24	argument	argument	NOUN
bracis-19040	210	25	(	(	PUNCT
bracis-19040	210	26	see	see	VERB
bracis-19040	210	27	definition	definition	NOUN
bracis-19040	210	28	14	14	NUM
bracis-19040	210	29	)	)	PUNCT
bracis-19040	210	30	.	.	PUNCT
bracis-19040	211	1	we	we	PRON
bracis-19040	211	2	proceed	proceed	VERB
bracis-19040	211	3	by	by	ADP
bracis-19040	211	4	introducing	introduce	VERB
bracis-19040	211	5	several	several	ADJ
bracis-19040	211	6	definitions	definition	NOUN
bracis-19040	211	7	and	and	CCONJ
bracis-19040	211	8	lemmas	lemma	NOUN
bracis-19040	211	9	before	before	ADP
bracis-19040	211	10	proving	prove	VERB
bracis-19040	211	11	the	the	DET
bracis-19040	211	12	satisfaction	satisfaction	NOUN
bracis-19040	211	13	of	of	ADP
bracis-19040	211	14	these	these	DET
bracis-19040	211	15	postulates	postulate	NOUN
bracis-19040	211	16	:	:	PUNCT
bracis-19040	211	17	definition	definition	NOUN
bracis-19040	211	18	12	12	NUM
bracis-19040	211	19	(	(	PUNCT
bracis-19040	211	20	consistency	consistency	NOUN
bracis-19040	211	21	)	)	PUNCT
bracis-19040	211	22	.	.	PUNCT
bracis-19040	212	1	let	let	VERB
bracis-19040	212	2	\(\mathcal	\(\mathcal	ADJ
bracis-19040	212	3	a=	a=	VERB
bracis-19040	212	4	\left\	\left\	PROPN
bracis-19040	212	5	{	{	PUNCT
bracis-19040	212	6	a_1	a_1	NOUN
bracis-19040	212	7	,	,	PUNCT
bracis-19040	212	8	\ldots	\ldots	INTJ
bracis-19040	212	9	,	,	PUNCT
bracis-19040	212	10	a_n\right\	a_n\right\	NOUN
bracis-19040	212	11	}	}	PUNCT
bracis-19040	212	12	\	\	NOUN
bracis-19040	212	13	)	)	PUNCT
bracis-19040	212	14	be	be	AUX
bracis-19040	212	15	a	a	DET
bracis-19040	212	16	set	set	NOUN
bracis-19040	212	17	of	of	ADP
bracis-19040	212	18	arguments	argument	NOUN
bracis-19040	212	19	on	on	ADP
bracis-19040	212	20	the	the	DET
bracis-19040	212	21	basis	basis	NOUN
bracis-19040	212	22	of	of	ADP
bracis-19040	212	23	an	an	DET
bracis-19040	212	24	argumentation	argumentation	NOUN
bracis-19040	212	25	theory	theory	NOUN
bracis-19040	212	26	\	\	PROPN
bracis-19040	212	27	(	(	PUNCT
bracis-19040	212	28	(	(	PUNCT
bracis-19040	212	29	as	as	ADP
bracis-19040	212	30	,	,	PUNCT
bracis-19040	212	31	\mathcal	\mathcal	PROPN
bracis-19040	212	32	k)\	k)\	NOUN
bracis-19040	212	33	)	)	PUNCT
bracis-19040	212	34	and	and	CCONJ
bracis-19040	212	35	an	an	DET
bracis-19040	212	36	argumentation	argumentation	NOUN
bracis-19040	212	37	system	system	NOUN
bracis-19040	212	38	\	\	PROPN
bracis-19040	212	39	(	(	PUNCT
bracis-19040	212	40	as	as	ADP
bracis-19040	212	41	=	=	PUNCT
bracis-19040	212	42	(	(	PUNCT
bracis-19040	212	43	\mathcal	\mathcal	PROPN
bracis-19040	212	44	l,^-	l,^-	PROPN
bracis-19040	212	45	,	,	PUNCT
bracis-19040	212	46	\mathcal	\mathcal	PROPN
bracis-19040	212	47	r	r	NOUN
bracis-19040	212	48	,	,	PUNCT
bracis-19040	212	49	n)\	n)\	NUM
bracis-19040	212	50	)	)	PUNCT
bracis-19040	212	51	.	.	PUNCT
bracis-19040	213	1	an	an	DET
bracis-19040	213	2	argument	argument	NOUN
bracis-19040	213	3	\(a	\(a	X
bracis-19040	213	4	\in	\in	PROPN
bracis-19040	213	5	\mathcal	\mathcal	PROPN
bracis-19040	213	6	a\	a\	NOUN
bracis-19040	213	7	)	)	PUNCT
bracis-19040	213	8	is	be	AUX
bracis-19040	213	9	inconsistent	inconsistent	ADJ
bracis-19040	213	10	iff	iff	NOUN
bracis-19040	213	11	\(\forall	\(\forall	ADV
bracis-19040	213	12	\phi	\phi	PROPN
bracis-19040	213	13	\in	\in	PROPN
bracis-19040	213	14	\mathcal	\mathcal	PROPN
bracis-19040	213	15	l\	l\	PROPN
bracis-19040	213	16	)	)	PUNCT
bracis-19040	213	17	,	,	PUNCT
bracis-19040	213	18	it	it	PRON
bracis-19040	213	19	holds	hold	VERB
bracis-19040	213	20	\(\left\	\(\left\	PROPN
bracis-19040	213	21	{	{	PUNCT
bracis-19040	213	22	\mathtt	\mathtt	X
bracis-19040	213	23	{	{	PUNCT
bracis-19040	213	24	conc}(a	conc}(a	PROPN
bracis-19040	213	25	'	'	PUNCT
bracis-19040	213	26	)	)	PUNCT
bracis-19040	214	1	\mid	\mid	ADP
bracis-19040	214	2	a	a	DET
bracis-19040	214	3	'	'	PUNCT
bracis-19040	214	4	\in	\in	ADJ
bracis-19040	214	5	\mathtt	\mathtt	PROPN
bracis-19040	214	6	{	{	PUNCT
bracis-19040	214	7	sub}(a)\right\	sub}(a)\right\	NOUN
bracis-19040	214	8	}	}	PUNCT
bracis-19040	214	9	\vdash	\vdash	VERB
bracis-19040	214	10	\phi	\phi	PROPN
bracis-19040	214	11	\	\	NOUN
bracis-19040	214	12	)	)	PUNCT
bracis-19040	214	13	.	.	PUNCT
bracis-19040	215	1	otherwise	otherwise	ADV
bracis-19040	215	2	,	,	PUNCT
bracis-19040	215	3	a	a	PRON
bracis-19040	215	4	is	be	AUX
bracis-19040	215	5	consistent	consistent	ADJ
bracis-19040	215	6	.	.	PUNCT
bracis-19040	216	1	the	the	DET
bracis-19040	216	2	set	set	ADJ
bracis-19040	216	3	\(\mathcal	\(\mathcal	NOUN
bracis-19040	216	4	a\	a\	NOUN
bracis-19040	216	5	)	)	PUNCT
bracis-19040	216	6	is	be	AUX
bracis-19040	216	7	inconsistent	inconsistent	ADJ
bracis-19040	216	8	if	if	SCONJ
bracis-19040	216	9	\(\forall	\(\forall	ADV
bracis-19040	216	10	\phi	\phi	PROPN
bracis-19040	216	11	\in	\in	PROPN
bracis-19040	216	12	\mathcal	\mathcal	PROPN
bracis-19040	216	13	l\	l\	PROPN
bracis-19040	216	14	)	)	PUNCT
bracis-19040	216	15	,	,	PUNCT
bracis-19040	216	16	it	it	PRON
bracis-19040	216	17	holds	hold	VERB
bracis-19040	216	18	\(\mathtt	\(\mathtt	NOUN
bracis-19040	216	19	{	{	PUNCT
bracis-19040	216	20	concs}(\mathtt	concs}(\mathtt	NOUN
bracis-19040	216	21	{	{	PUNCT
bracis-19040	216	22	sub}(a_1	sub}(a_1	NOUN
bracis-19040	216	23	)	)	PUNCT
bracis-19040	216	24	)	)	PUNCT
bracis-19040	217	1	\cup	\cup	VERB
bracis-19040	217	2	\ldots	\ldots	SCONJ
bracis-19040	217	3	\cup	\cup	NOUN
bracis-19040	217	4	\mathtt	\mathtt	NOUN
bracis-19040	217	5	{	{	PUNCT
bracis-19040	217	6	concs}(\mathtt	concs}(\mathtt	NOUN
bracis-19040	217	7	{	{	PUNCT
bracis-19040	217	8	sub}(a_n	sub}(a_n	NOUN
bracis-19040	217	9	)	)	PUNCT
bracis-19040	217	10	)	)	PUNCT
bracis-19040	218	1	\vdash	\vdash	VERB
bracis-19040	218	2	\phi	\phi	PROPN
bracis-19040	218	3	\	\	NOUN
bracis-19040	218	4	)	)	PUNCT
bracis-19040	218	5	.	.	PUNCT
bracis-19040	219	1	otherwise	otherwise	ADV
bracis-19040	219	2	\(\mathcal	\(\mathcal	ADJ
bracis-19040	219	3	a\	a\	NOUN
bracis-19040	219	4	)	)	PUNCT
bracis-19040	219	5	is	be	AUX
bracis-19040	219	6	consistent	consistent	ADJ
bracis-19040	219	7	.	.	PUNCT
bracis-19040	220	1	a	a	DET
bracis-19040	220	2	strict	strict	ADJ
bracis-19040	220	3	rule	rule	NOUN
bracis-19040	220	4	as	as	ADP
bracis-19040	220	5	\(\phi	\(\phi	ADJ
bracis-19040	220	6	_	_	NOUN
bracis-19040	220	7	1	1	NUM
bracis-19040	220	8	,	,	PUNCT
bracis-19040	220	9	\ldots	\ldots	INTJ
bracis-19040	220	10	,	,	PUNCT
bracis-19040	220	11	\phi	\phi	PROPN
bracis-19040	220	12	_	_	NOUN
bracis-19040	220	13	n	n	X
bracis-19040	220	14	\rightarrow	\rightarrow	PROPN
bracis-19040	220	15	\psi	\psi	PROPN
bracis-19040	220	16	\	\	PROPN
bracis-19040	220	17	)	)	PUNCT
bracis-19040	220	18	represents	represent	VERB
bracis-19040	220	19	that	that	SCONJ
bracis-19040	220	20	if	if	SCONJ
bracis-19040	220	21	\(\phi	\(\phi	ADJ
bracis-19040	220	22	_	_	NOUN
bracis-19040	220	23	1	1	NUM
bracis-19040	220	24	,	,	PUNCT
bracis-19040	220	25	\ldots	\ldots	INTJ
bracis-19040	220	26	,	,	PUNCT
bracis-19040	220	27	\phi	\phi	PROPN
bracis-19040	220	28	_	_	SYM
bracis-19040	220	29	n\	n\	NOUN
bracis-19040	220	30	)	)	PUNCT
bracis-19040	220	31	hold	hold	NOUN
bracis-19040	220	32	,	,	PUNCT
bracis-19040	220	33	then	then	ADV
bracis-19040	220	34	without	without	ADP
bracis-19040	220	35	exception	exception	NOUN
bracis-19040	220	36	it	it	PRON
bracis-19040	220	37	holds	hold	VERB
bracis-19040	220	38	that	that	PRON
bracis-19040	220	39	\(\psi	\(\psi	NOUN
bracis-19040	220	40	\	\	NOUN
bracis-19040	220	41	)	)	PUNCT
bracis-19040	220	42	.	.	PUNCT
bracis-19040	221	1	it	it	PRON
bracis-19040	221	2	has	have	VERB
bracis-19040	221	3	a	a	DET
bracis-19040	221	4	very	very	ADV
bracis-19040	221	5	general	general	ADJ
bracis-19040	221	6	meaning	meaning	NOUN
bracis-19040	221	7	;	;	PUNCT
bracis-19040	221	8	the	the	DET
bracis-19040	221	9	unique	unique	ADJ
bracis-19040	221	10	restriction	restriction	NOUN
bracis-19040	221	11	we	we	PRON
bracis-19040	221	12	will	will	AUX
bracis-19040	221	13	impose	impose	VERB
bracis-19040	221	14	to	to	PART
bracis-19040	221	15	prove	prove	VERB
bracis-19040	221	16	our	our	PRON
bracis-19040	221	17	results	result	NOUN
bracis-19040	221	18	is	be	AUX
bracis-19040	221	19	that	that	SCONJ
bracis-19040	221	20	we	we	PRON
bracis-19040	221	21	will	will	AUX
bracis-19040	221	22	assume	assume	VERB
bracis-19040	221	23	throughout	throughout	ADP
bracis-19040	221	24	this	this	DET
bracis-19040	221	25	section	section	NOUN
bracis-19040	221	26	that	that	SCONJ
bracis-19040	221	27	every	every	DET
bracis-19040	221	28	strict	strict	ADJ
bracis-19040	221	29	rule	rule	NOUN
bracis-19040	221	30	in	in	ADP
bracis-19040	221	31	an	an	DET
bracis-19040	221	32	argumentation	argumentation	NOUN
bracis-19040	221	33	system	system	NOUN
bracis-19040	221	34	is	be	AUX
bracis-19040	221	35	reasonable	reasonable	ADJ
bracis-19040	221	36	:	:	PUNCT
bracis-19040	221	37	definition	definition	NOUN
bracis-19040	221	38	13	13	NUM
bracis-19040	221	39	(	(	PUNCT
bracis-19040	221	40	reasonable	reasonable	ADJ
bracis-19040	221	41	strict	strict	ADJ
bracis-19040	221	42	rules	rule	NOUN
bracis-19040	221	43	)	)	PUNCT
bracis-19040	221	44	.	.	PUNCT
bracis-19040	222	1	let	let	VERB
bracis-19040	222	2	\	\	PROPN
bracis-19040	222	3	(	(	PUNCT
bracis-19040	222	4	(	(	PUNCT
bracis-19040	222	5	as	as	ADP
bracis-19040	222	6	,	,	PUNCT
bracis-19040	222	7	\mathcal	\mathcal	PROPN
bracis-19040	222	8	k)\	k)\	NOUN
bracis-19040	222	9	)	)	PUNCT
bracis-19040	222	10	be	be	VERB
bracis-19040	222	11	an	an	DET
bracis-19040	222	12	argumentation	argumentation	NOUN
bracis-19040	222	13	theory	theory	NOUN
bracis-19040	222	14	and	and	CCONJ
bracis-19040	222	15	\	\	PROPN
bracis-19040	222	16	(	(	PUNCT
bracis-19040	222	17	as	as	SCONJ
bracis-19040	222	18	=	=	SYM
bracis-19040	222	19	(	(	PUNCT
bracis-19040	222	20	\mathcal	\mathcal	PROPN
bracis-19040	222	21	l,^-	l,^-	PROPN
bracis-19040	222	22	,	,	PUNCT
bracis-19040	222	23	\mathcal	\mathcal	PROPN
bracis-19040	222	24	r_s\cup	r_s\cup	NOUN
bracis-19040	222	25	\mathcal	\mathcal	INTJ
bracis-19040	222	26	r_d	r_d	NOUN
bracis-19040	222	27	,	,	PUNCT
bracis-19040	222	28	n)\	n)\	NUM
bracis-19040	222	29	)	)	PUNCT
bracis-19040	222	30	be	be	AUX
bracis-19040	222	31	an	an	DET
bracis-19040	222	32	argumentation	argumentation	NOUN
bracis-19040	222	33	system	system	NOUN
bracis-19040	222	34	.	.	PUNCT
bracis-19040	223	1	a	a	DET
bracis-19040	223	2	strict	strict	ADJ
bracis-19040	223	3	rule	rule	NOUN
bracis-19040	223	4	\(\phi	\(\phi	NOUN
bracis-19040	224	1	_	_	NOUN
bracis-19040	224	2	1	1	NUM
bracis-19040	224	3	,	,	PUNCT
bracis-19040	224	4	\ldots	\ldots	INTJ
bracis-19040	224	5	,	,	PUNCT
bracis-19040	224	6	\phi	\phi	PROPN
bracis-19040	224	7	_	_	NOUN
bracis-19040	224	8	n	n	X
bracis-19040	224	9	\rightarrow	\rightarrow	PROPN
bracis-19040	224	10	\psi	\psi	PROPN
bracis-19040	224	11	\in	\in	PROPN
bracis-19040	224	12	\mathcal	\mathcal	ADJ
bracis-19040	224	13	r_s\	r_s\	NOUN
bracis-19040	224	14	)	)	PUNCT
bracis-19040	224	15	is	be	AUX
bracis-19040	224	16	reasonable	reasonable	ADJ
bracis-19040	224	17	iff	iff	PROPN
bracis-19040	224	18	1	1	NUM
bracis-19040	224	19	)	)	PUNCT
bracis-19040	224	20	for	for	ADP
bracis-19040	224	21	each	each	DET
bracis-19040	224	22	\(\phi	\(\phi	NOUN
bracis-19040	224	23	_	_	PUNCT
bracis-19040	224	24	i\	i\	NOUN
bracis-19040	224	25	)	)	PUNCT
bracis-19040	224	26	(	(	PUNCT
bracis-19040	224	27	\(1	\(1	PROPN
bracis-19040	224	28	\le	\le	PROPN
bracis-19040	224	29	i	i	NOUN
bracis-19040	224	30	\le	\le	NOUN
bracis-19040	224	31	n\	n\	NOUN
bracis-19040	224	32	)	)	PUNCT
bracis-19040	224	33	)	)	PUNCT
bracis-19040	225	1	it	it	PRON
bracis-19040	225	2	holds	hold	VERB
bracis-19040	225	3	\(\texttt	\(\texttt	NOUN
bracis-19040	225	4	{	{	PUNCT
bracis-19040	225	5	atoms}(\phi	atoms}(\phi	NUM
bracis-19040	225	6	_	_	PUNCT
bracis-19040	225	7	i	i	NOUN
bracis-19040	225	8	)	)	PUNCT
bracis-19040	226	1	\subseteq	\subseteq	PROPN
bracis-19040	226	2	\texttt	\texttt	PROPN
bracis-19040	226	3	{	{	PUNCT
bracis-19040	226	4	atoms}(\psi	atoms}(\psi	X
bracis-19040	226	5	)	)	PUNCT
bracis-19040	226	6	\	\	NOUN
bracis-19040	226	7	)	)	PUNCT
bracis-19040	226	8	or	or	CCONJ
bracis-19040	226	9	2	2	X
bracis-19040	226	10	)	)	PUNCT
bracis-19040	226	11	\(\forall	\(\forall	ADV
bracis-19040	226	12	\psi	\psi	PROPN
bracis-19040	226	13	\in	\in	PROPN
bracis-19040	226	14	\mathcal	\mathcal	PROPN
bracis-19040	226	15	l\	l\	PROPN
bracis-19040	226	16	)	)	PUNCT
bracis-19040	226	17	,	,	PUNCT
bracis-19040	226	18	it	it	PRON
bracis-19040	226	19	holds	hold	VERB
bracis-19040	226	20	\(\left\	\(\left\	PROPN
bracis-19040	226	21	{	{	PUNCT
bracis-19040	226	22	\phi	\phi	PROPN
bracis-19040	226	23	_	_	NOUN
bracis-19040	226	24	1	1	NUM
bracis-19040	226	25	,	,	PUNCT
bracis-19040	226	26	\ldots	\ldots	INTJ
bracis-19040	226	27	,	,	PUNCT
bracis-19040	226	28	\phi	\phi	PROPN
bracis-19040	226	29	_	_	NOUN
bracis-19040	226	30	n\right\	n\right\	NOUN
bracis-19040	226	31	}	}	PUNCT
bracis-19040	226	32	\vdash	\vdash	VERB
bracis-19040	226	33	\psi	\psi	PROPN
bracis-19040	226	34	\	\	NOUN
bracis-19040	226	35	)	)	PUNCT
bracis-19040	226	36	.	.	PUNCT
bracis-19040	227	1	a	a	DET
bracis-19040	227	2	strict	strict	ADJ
bracis-19040	227	3	rule	rule	NOUN
bracis-19040	227	4	\(\phi	\(\phi	NOUN
bracis-19040	228	1	_	_	NOUN
bracis-19040	228	2	1	1	NUM
bracis-19040	228	3	,	,	PUNCT
bracis-19040	228	4	\ldots	\ldots	INTJ
bracis-19040	228	5	,	,	PUNCT
bracis-19040	228	6	\phi	\phi	PROPN
bracis-19040	228	7	_	_	NOUN
bracis-19040	228	8	n	n	X
bracis-19040	228	9	\rightarrow	\rightarrow	PROPN
bracis-19040	228	10	\psi	\psi	PROPN
bracis-19040	228	11	\	\	PROPN
bracis-19040	228	12	)	)	PUNCT
bracis-19040	228	13	is	be	AUX
bracis-19040	228	14	reasonable	reasonable	ADJ
bracis-19040	228	15	if	if	SCONJ
bracis-19040	228	16	\(\forall	\(\forall	ADV
bracis-19040	228	17	\phi	\phi	PROPN
bracis-19040	228	18	_	_	SYM
bracis-19040	228	19	i\	i\	NOUN
bracis-19040	228	20	)	)	PUNCT
bracis-19040	228	21	(	(	PUNCT
bracis-19040	228	22	\(1	\(1	PROPN
bracis-19040	228	23	\le	\le	PROPN
bracis-19040	228	24	i	i	NOUN
bracis-19040	228	25	\le	\le	NOUN
bracis-19040	228	26	n\	n\	NOUN
bracis-19040	228	27	)	)	PUNCT
bracis-19040	228	28	)	)	PUNCT
bracis-19040	228	29	,	,	PUNCT
bracis-19040	228	30	each	each	DET
bracis-19040	228	31	atom	atom	NOUN
bracis-19040	228	32	in	in	ADP
bracis-19040	228	33	\(\phi	\(\phi	NOUN
bracis-19040	228	34	_	_	PUNCT
bracis-19040	228	35	i\	i\	NOUN
bracis-19040	228	36	)	)	PUNCT
bracis-19040	228	37	is	be	AUX
bracis-19040	228	38	also	also	ADV
bracis-19040	228	39	in	in	ADP
bracis-19040	228	40	\(\psi	\(\psi	VERB
bracis-19040	228	41	\	\	NOUN
bracis-19040	228	42	)	)	PUNCT
bracis-19040	228	43	or	or	CCONJ
bracis-19040	228	44	\(\left\	\(\left\	PROPN
bracis-19040	228	45	{	{	PUNCT
bracis-19040	228	46	\phi	\phi	PROPN
bracis-19040	228	47	_	_	NOUN
bracis-19040	228	48	1	1	NUM
bracis-19040	228	49	,	,	PUNCT
bracis-19040	228	50	\ldots	\ldots	INTJ
bracis-19040	228	51	,	,	PUNCT
bracis-19040	228	52	\phi	\phi	PROPN
bracis-19040	228	53	_	_	NOUN
bracis-19040	228	54	n\right\	n\right\	NOUN
bracis-19040	228	55	}	}	PUNCT
bracis-19040	228	56	\	\	NOUN
bracis-19040	228	57	)	)	PUNCT
bracis-19040	228	58	is	be	AUX
bracis-19040	228	59	inconsistent	inconsistent	ADJ
bracis-19040	228	60	.	.	PUNCT
bracis-19040	229	1	reasonable	reasonable	ADJ
bracis-19040	229	2	strict	strict	ADJ
bracis-19040	229	3	rules	rule	NOUN
bracis-19040	229	4	are	be	AUX
bracis-19040	229	5	very	very	ADV
bracis-19040	229	6	usual	usual	ADJ
bracis-19040	229	7	in	in	ADP
bracis-19040	229	8	many	many	ADJ
bracis-19040	229	9	propositional	propositional	ADJ
bracis-19040	229	10	logics	logic	NOUN
bracis-19040	229	11	.	.	PUNCT
bracis-19040	230	1	now	now	ADV
bracis-19040	230	2	we	we	PRON
bracis-19040	230	3	define	define	VERB
bracis-19040	230	4	an	an	DET
bracis-19040	230	5	inconsistency	inconsistency	NOUN
bracis-19040	230	6	cleaned	clean	VERB
bracis-19040	230	7	\	\	PROPN
bracis-19040	230	8	(	(	PUNCT
bracis-19040	230	9	af	af	X
bracis-19040	230	10	_	_	NOUN
bracis-19040	230	11	2\	2\	NUM
bracis-19040	230	12	):	):	PUNCT
bracis-19040	230	13	definition	definition	NOUN
bracis-19040	230	14	14	14	NUM
bracis-19040	230	15	(	(	PUNCT
bracis-19040	230	16	inconsistency	inconsistency	NOUN
bracis-19040	230	17	-	-	PUNCT
bracis-19040	230	18	cleaned	clean	VERB
bracis-19040	230	19	\	\	PROPN
bracis-19040	230	20	(	(	PUNCT
bracis-19040	230	21	af	af	X
bracis-19040	230	22	_	_	NOUN
bracis-19040	230	23	2\	2\	NUM
bracis-19040	230	24	)	)	PUNCT
bracis-19040	230	25	)	)	PUNCT
bracis-19040	230	26	.	.	PUNCT
bracis-19040	231	1	let	let	VERB
bracis-19040	231	2	\(\langle	\(\langle	VERB
bracis-19040	231	3	\mathcal	\mathcal	PROPN
bracis-19040	231	4	a	a	DET
bracis-19040	231	5	,	,	PUNCT
bracis-19040	231	6	\mathcal	\mathcal	PROPN
bracis-19040	231	7	d	d	NOUN
bracis-19040	231	8	,	,	PUNCT
bracis-19040	231	9	\mathcal	\mathcal	PROPN
bracis-19040	231	10	d	d	NOUN
bracis-19040	231	11	'	'	PUNCT
bracis-19040	231	12	\rangle	\rangle	PROPN
bracis-19040	231	13	\	\	NOUN
bracis-19040	231	14	)	)	PUNCT
bracis-19040	231	15	be	be	AUX
bracis-19040	231	16	a	a	DET
bracis-19040	231	17	\	\	PROPN
bracis-19040	231	18	(	(	PUNCT
bracis-19040	231	19	af	af	X
bracis-19040	231	20	_	_	NOUN
bracis-19040	231	21	2\	2\	NUM
bracis-19040	231	22	)	)	PUNCT
bracis-19040	231	23	resulting	result	VERB
bracis-19040	231	24	from	from	ADP
bracis-19040	231	25	an	an	DET
bracis-19040	231	26	argumentation	argumentation	NOUN
bracis-19040	231	27	theory	theory	NOUN
bracis-19040	231	28	\	\	PROPN
bracis-19040	231	29	(	(	PUNCT
bracis-19040	231	30	at	at	ADP
bracis-19040	231	31	\	\	NOUN
bracis-19040	231	32	)	)	PUNCT
bracis-19040	231	33	.	.	PUNCT
bracis-19040	232	1	we	we	PRON
bracis-19040	232	2	define	define	VERB
bracis-19040	232	3	\(\mathcal	\(\mathcal	ADJ
bracis-19040	232	4	a_c	a_c	PUNCT
bracis-19040	232	5	=	=	SYM
bracis-19040	232	6	\	\	PROPN
bracis-19040	232	7	{	{	PUNCT
bracis-19040	232	8	a	a	DET
bracis-19040	232	9	\in	\in	PROPN
bracis-19040	232	10	\mathcal	\mathcal	PROPN
bracis-19040	232	11	a\mid	a\mid	ADP
bracis-19040	232	12	a	a	DET
bracis-19040	232	13	\text	\text	NOUN
bracis-19040	232	14	{	{	PUNCT
bracis-19040	232	15	is	be	AUX
bracis-19040	232	16	consistent	consistent	ADJ
bracis-19040	232	17	}	}	PUNCT
bracis-19040	232	18	\}\	\}\	NOUN
bracis-19040	232	19	)	)	PUNCT
bracis-19040	232	20	,	,	PUNCT
bracis-19040	232	21	\(\mathcal	\(\mathcal	NOUN
bracis-19040	232	22	d_c	d_c	PUNCT
bracis-19040	233	1	=	=	PUNCT
bracis-19040	233	2	\mathcal	\mathcal	PROPN
bracis-19040	233	3	d	d	X
bracis-19040	233	4	\cap	\cap	PROPN
bracis-19040	233	5	(	(	PUNCT
bracis-19040	233	6	\mathcal	\mathcal	PROPN
bracis-19040	233	7	a_c	a_c	NOUN
bracis-19040	233	8	\times	\times	ADP
bracis-19040	233	9	\mathcal	\mathcal	PROPN
bracis-19040	233	10	a_c)\	a_c)\	NOUN
bracis-19040	233	11	)	)	PUNCT
bracis-19040	233	12	and	and	CCONJ
bracis-19040	233	13	\(\mathcal	\(\mathcal	PROPN
bracis-19040	233	14	d_c	d_c	NOUN
bracis-19040	233	15	'	'	PUNCT
bracis-19040	233	16	=	=	NUM
bracis-19040	233	17	\mathcal	\mathcal	PROPN
bracis-19040	233	18	d	d	NOUN
bracis-19040	233	19	'	'	PUNCT
bracis-19040	233	20	\cap	\cap	NOUN
bracis-19040	233	21	(	(	PUNCT
bracis-19040	233	22	\mathcal	\mathcal	PROPN
bracis-19040	233	23	a_c	a_c	NOUN
bracis-19040	233	24	\times	\times	ADP
bracis-19040	233	25	\mathcal	\mathcal	PROPN
bracis-19040	233	26	a_c)\	a_c)\	NOUN
bracis-19040	233	27	)	)	PUNCT
bracis-19040	233	28	.	.	PUNCT
bracis-19040	234	1	we	we	PRON
bracis-19040	234	2	refer	refer	VERB
bracis-19040	234	3	to	to	ADP
bracis-19040	234	4	\((\mathcal	\((\mathcal	ADJ
bracis-19040	234	5	a_c	a_c	PROPN
bracis-19040	234	6	,	,	PUNCT
bracis-19040	234	7	\mathcal	\mathcal	PROPN
bracis-19040	234	8	d_c	d_c	PROPN
bracis-19040	234	9	,	,	PUNCT
bracis-19040	234	10	\mathcal	\mathcal	ADJ
bracis-19040	234	11	d_c')\	d_c')\	NOUN
bracis-19040	234	12	)	)	PUNCT
bracis-19040	234	13	as	as	SCONJ
bracis-19040	234	14	the	the	DET
bracis-19040	234	15	inconsistency	inconsistency	NOUN
bracis-19040	234	16	cleaned	clean	VERB
bracis-19040	234	17	\	\	PROPN
bracis-19040	234	18	(	(	PUNCT
bracis-19040	234	19	af	af	X
bracis-19040	234	20	_	_	NOUN
bracis-19040	234	21	2\	2\	NUM
bracis-19040	234	22	)	)	PUNCT
bracis-19040	234	23	resulting	result	VERB
bracis-19040	234	24	from	from	ADP
bracis-19040	234	25	an	an	DET
bracis-19040	234	26	argumentation	argumentation	NOUN
bracis-19040	234	27	theory	theory	NOUN
bracis-19040	234	28	\	\	PROPN
bracis-19040	234	29	(	(	PUNCT
bracis-19040	234	30	at	at	ADP
bracis-19040	234	31	\	\	NOUN
bracis-19040	234	32	)	)	PUNCT
bracis-19040	234	33	.	.	PUNCT
bracis-19040	235	1	by	by	ADP
bracis-19040	235	2	inconsistency	inconsistency	NOUN
bracis-19040	235	3	-	-	PUNCT
bracis-19040	235	4	cleaned	clean	VERB
bracis-19040	235	5	version	version	NOUN
bracis-19040	235	6	of	of	ADP
bracis-19040	235	7	the	the	DET
bracis-19040	235	8	\	\	NOUN
bracis-19040	235	9	(	(	PUNCT
bracis-19040	235	10	aspic	aspic	NOUN
bracis-19040	235	11	^?\	^?\	NUM
bracis-19040	235	12	)	)	PUNCT
bracis-19040	235	13	system	system	NOUN
bracis-19040	235	14	,	,	PUNCT
bracis-19040	235	15	we	we	PRON
bracis-19040	235	16	mean	mean	VERB
bracis-19040	235	17	the	the	DET
bracis-19040	235	18	\	\	NOUN
bracis-19040	235	19	(	(	PUNCT
bracis-19040	235	20	aspic	aspic	NOUN
bracis-19040	235	21	^?\	^?\	NUM
bracis-19040	235	22	)	)	PUNCT
bracis-19040	235	23	system	system	NOUN
bracis-19040	235	24	from	from	ADP
bracis-19040	235	25	which	which	PRON
bracis-19040	235	26	the	the	DET
bracis-19040	235	27	inconsistency	inconsistency	NOUN
bracis-19040	235	28	-	-	PUNCT
bracis-19040	235	29	cleaned	clean	VERB
bracis-19040	235	30	\	\	PROPN
bracis-19040	235	31	(	(	PUNCT
bracis-19040	235	32	af	af	X
bracis-19040	235	33	_	_	NOUN
bracis-19040	235	34	2\	2\	X
bracis-19040	235	35	)	)	PUNCT
bracis-19040	235	36	is	be	AUX
bracis-19040	235	37	constructed	construct	VERB
bracis-19040	235	38	.	.	PUNCT
bracis-19040	236	1	the	the	DET
bracis-19040	236	2	next	next	ADJ
bracis-19040	236	3	concept	concept	NOUN
bracis-19040	236	4	is	be	AUX
bracis-19040	236	5	important	important	ADJ
bracis-19040	236	6	to	to	PART
bracis-19040	236	7	simplify	simplify	VERB
bracis-19040	236	8	the	the	DET
bracis-19040	236	9	proofs	proof	NOUN
bracis-19040	236	10	of	of	ADP
bracis-19040	236	11	the	the	DET
bracis-19040	236	12	results	result	NOUN
bracis-19040	236	13	we	we	PRON
bracis-19040	236	14	will	will	AUX
bracis-19040	236	15	show	show	VERB
bracis-19040	236	16	in	in	ADP
bracis-19040	236	17	this	this	DET
bracis-19040	236	18	section	section	NOUN
bracis-19040	236	19	:	:	PUNCT
bracis-19040	236	20	definition	definition	NOUN
bracis-19040	236	21	15	15	NUM
bracis-19040	236	22	(	(	PUNCT
bracis-19040	236	23	flat	flat	ADJ
bracis-19040	236	24	arguments	argument	NOUN
bracis-19040	236	25	)	)	PUNCT
bracis-19040	236	26	.	.	PUNCT
bracis-19040	237	1	let	let	VERB
bracis-19040	237	2	a	a	DET
bracis-19040	237	3	be	be	AUX
bracis-19040	237	4	an	an	DET
bracis-19040	237	5	argument	argument	NOUN
bracis-19040	237	6	on	on	ADP
bracis-19040	237	7	the	the	DET
bracis-19040	237	8	basis	basis	NOUN
bracis-19040	237	9	of	of	ADP
bracis-19040	237	10	an	an	DET
bracis-19040	237	11	argumentation	argumentation	NOUN
bracis-19040	237	12	theory	theory	NOUN
bracis-19040	237	13	\	\	PROPN
bracis-19040	237	14	(	(	PUNCT
bracis-19040	237	15	at	at	ADP
bracis-19040	237	16	\	\	NOUN
bracis-19040	237	17	)	)	PUNCT
bracis-19040	237	18	.	.	PUNCT
bracis-19040	238	1	we	we	PRON
bracis-19040	238	2	say	say	VERB
bracis-19040	238	3	that	that	SCONJ
bracis-19040	238	4	a	a	PRON
bracis-19040	238	5	is	be	AUX
bracis-19040	238	6	flat	flat	ADJ
bracis-19040	238	7	iff	iff	PROPN
bracis-19040	238	8	\(\mathtt	\(\mathtt	NOUN
bracis-19040	238	9	{	{	PUNCT
bracis-19040	238	10	toprule}(a)\	toprule}(a)\	NOUN
bracis-19040	238	11	)	)	PUNCT
bracis-19040	238	12	is	be	AUX
bracis-19040	238	13	strict	strict	ADJ
bracis-19040	238	14	,	,	PUNCT
bracis-19040	238	15	\(a	\(a	NOUN
bracis-19040	238	16	=	=	PUNCT
bracis-19040	239	1	[	[	X
bracis-19040	239	2	a_1	a_1	X
bracis-19040	239	3	,	,	PUNCT
bracis-19040	239	4	\ldots	\ldots	INTJ
bracis-19040	239	5	,	,	PUNCT
bracis-19040	239	6	a_n	a_n	PROPN
bracis-19040	239	7	\rightarrow	\rightarrow	PROPN
bracis-19040	239	8	\alpha	\alpha	NOUN
bracis-19040	239	9	]	]	PUNCT
bracis-19040	239	10	\	\	NOUN
bracis-19040	239	11	)	)	PUNCT
bracis-19040	239	12	and	and	CCONJ
bracis-19040	239	13	\(\forall	\(\forall	ADV
bracis-19040	239	14	a_i\	a_i\	PROPN
bracis-19040	239	15	)	)	PUNCT
bracis-19040	239	16	(	(	PUNCT
bracis-19040	239	17	\(1	\(1	PROPN
bracis-19040	239	18	\le	\le	PROPN
bracis-19040	239	19	i	i	NOUN
bracis-19040	239	20	\le	\le	NOUN
bracis-19040	239	21	n\	n\	NOUN
bracis-19040	239	22	)	)	PUNCT
bracis-19040	239	23	)	)	PUNCT
bracis-19040	239	24	,	,	PUNCT
bracis-19040	239	25	one	one	NUM
bracis-19040	239	26	of	of	ADP
bracis-19040	239	27	the	the	DET
bracis-19040	239	28	following	follow	VERB
bracis-19040	239	29	conditions	condition	NOUN
bracis-19040	239	30	holds	hold	VERB
bracis-19040	239	31	:	:	PUNCT
bracis-19040	239	32	1	1	X
bracis-19040	239	33	.	.	NOUN
bracis-19040	239	34	\(\mathtt	\(\mathtt	NOUN
bracis-19040	239	35	{	{	PUNCT
bracis-19040	239	36	toprule}(a_i)\	toprule}(a_i)\	PROPN
bracis-19040	239	37	)	)	PUNCT
bracis-19040	239	38	is	be	AUX
bracis-19040	239	39	defeasible	defeasible	ADJ
bracis-19040	239	40	or	or	CCONJ
bracis-19040	239	41	2	2	NUM
bracis-19040	239	42	.	.	NOUN
bracis-19040	240	1	\(\mathtt	\(\mathtt	NOUN
bracis-19040	240	2	{	{	PUNCT
bracis-19040	240	3	rules}(a_i	rules}(a_i	PROPN
bracis-19040	240	4	)	)	PUNCT
bracis-19040	240	5	=	=	PUNCT
bracis-19040	240	6	\emptyset	\emptyset	VERB
bracis-19040	240	7	\	\	NOUN
bracis-19040	240	8	)	)	PUNCT
bracis-19040	240	9	.	.	PUNCT
bracis-19040	241	1	flat	flat	ADJ
bracis-19040	241	2	arguments	argument	NOUN
bracis-19040	241	3	have	have	VERB
bracis-19040	241	4	strict	strict	ADJ
bracis-19040	241	5	top	top	ADJ
bracis-19040	241	6	rule	rule	NOUN
bracis-19040	241	7	and	and	CCONJ
bracis-19040	241	8	every	every	PRON
bracis-19040	241	9	of	of	ADP
bracis-19040	241	10	its	its	PRON
bracis-19040	241	11	strict	strict	ADJ
bracis-19040	241	12	subarguments	subargument	NOUN
bracis-19040	241	13	comes	come	VERB
bracis-19040	241	14	from	from	ADP
bracis-19040	241	15	the	the	DET
bracis-19040	241	16	set	set	NOUN
bracis-19040	241	17	of	of	ADP
bracis-19040	241	18	premises	premise	NOUN
bracis-19040	241	19	.	.	PUNCT
bracis-19040	242	1	henceforth	henceforth	ADV
bracis-19040	242	2	,	,	PUNCT
bracis-19040	242	3	for	for	ADP
bracis-19040	242	4	any	any	DET
bracis-19040	242	5	\	\	NOUN
bracis-19040	242	6	(	(	PUNCT
bracis-19040	242	7	af	af	X
bracis-19040	242	8	_	_	PUNCT
bracis-19040	242	9	2\langle	2\langle	NUM
bracis-19040	242	10	\mathcal	\mathcal	NOUN
bracis-19040	242	11	a	a	X
bracis-19040	242	12	,	,	PUNCT
bracis-19040	242	13	\mathcal	\mathcal	PROPN
bracis-19040	242	14	d	d	NOUN
bracis-19040	242	15	,	,	PUNCT
bracis-19040	242	16	\mathcal	\mathcal	PROPN
bracis-19040	242	17	d	d	NOUN
bracis-19040	242	18	'	'	PUNCT
bracis-19040	242	19	\rangle	\rangle	PROPN
bracis-19040	242	20	\	\	NOUN
bracis-19040	242	21	)	)	PUNCT
bracis-19040	242	22	resulting	result	VERB
bracis-19040	242	23	from	from	ADP
bracis-19040	242	24	argumentation	argumentation	NOUN
bracis-19040	242	25	theory	theory	NOUN
bracis-19040	242	26	\	\	PROPN
bracis-19040	242	27	(	(	PUNCT
bracis-19040	242	28	at	at	ADP
bracis-19040	242	29	\	\	NOUN
bracis-19040	242	30	)	)	PUNCT
bracis-19040	242	31	,	,	PUNCT
bracis-19040	242	32	we	we	PRON
bracis-19040	242	33	will	will	AUX
bracis-19040	242	34	assume	assume	VERB
bracis-19040	242	35	without	without	ADP
bracis-19040	242	36	loss	loss	NOUN
bracis-19040	242	37	of	of	ADP
bracis-19040	242	38	generality	generality	NOUN
bracis-19040	242	39	every	every	DET
bracis-19040	242	40	\(a	\(a	PROPN
bracis-19040	242	41	\in	\in	PROPN
bracis-19040	242	42	\mathcal	\mathcal	PROPN
bracis-19040	242	43	a\	a\	NOUN
bracis-19040	242	44	)	)	PUNCT
bracis-19040	242	45	with	with	SCONJ
bracis-19040	242	46	a	a	DET
bracis-19040	242	47	strict	strict	ADJ
bracis-19040	242	48	top	top	ADJ
bracis-19040	242	49	rule	rule	NOUN
bracis-19040	242	50	is	be	AUX
bracis-19040	242	51	flat	flat	ADJ
bracis-19040	242	52	.	.	PUNCT
bracis-19040	243	1	in	in	ADP
bracis-19040	243	2	order	order	NOUN
bracis-19040	243	3	to	to	PART
bracis-19040	243	4	prove	prove	VERB
bracis-19040	243	5	some	some	DET
bracis-19040	243	6	results	result	NOUN
bracis-19040	243	7	in	in	ADP
bracis-19040	243	8	this	this	DET
bracis-19040	243	9	section	section	NOUN
bracis-19040	243	10	,	,	PUNCT
bracis-19040	243	11	we	we	PRON
bracis-19040	243	12	will	will	AUX
bracis-19040	243	13	need	need	VERB
bracis-19040	243	14	to	to	PART
bracis-19040	243	15	identify	identify	VERB
bracis-19040	243	16	the	the	DET
bracis-19040	243	17	set	set	NOUN
bracis-19040	243	18	of	of	ADP
bracis-19040	243	19	conclusions	conclusion	NOUN
bracis-19040	243	20	associated	associate	VERB
bracis-19040	243	21	with	with	ADP
bracis-19040	243	22	a	a	DET
bracis-19040	243	23	set	set	NOUN
bracis-19040	243	24	of	of	ADP
bracis-19040	243	25	arguments	argument	NOUN
bracis-19040	243	26	:	:	PUNCT
bracis-19040	243	27	definition	definition	NOUN
bracis-19040	243	28	16	16	NUM
bracis-19040	243	29	let	let	VERB
bracis-19040	243	30	\(\mathcal	\(\mathcal	ADJ
bracis-19040	243	31	a\	a\	NOUN
bracis-19040	243	32	)	)	PUNCT
bracis-19040	243	33	be	be	AUX
bracis-19040	243	34	a	a	DET
bracis-19040	243	35	set	set	NOUN
bracis-19040	243	36	of	of	ADP
bracis-19040	243	37	arguments	argument	NOUN
bracis-19040	243	38	whose	whose	DET
bracis-19040	243	39	structure	structure	NOUN
bracis-19040	243	40	complies	comply	VERB
bracis-19040	243	41	with	with	ADP
bracis-19040	243	42	definition	definition	NOUN
bracis-19040	243	43	4	4	NUM
bracis-19040	243	44	.	.	PUNCT
bracis-19040	244	1	we	we	PRON
bracis-19040	244	2	define	define	VERB
bracis-19040	244	3	\(\mathtt	\(\mathtt	NOUN
bracis-19040	244	4	{	{	PUNCT
bracis-19040	244	5	concs}(\mathcal	concs}(\mathcal	PROPN
bracis-19040	244	6	a	a	NOUN
bracis-19040	244	7	)	)	PUNCT
bracis-19040	244	8	=	=	SYM
bracis-19040	244	9	\left\	\left\	PROPN
bracis-19040	244	10	{	{	PUNCT
bracis-19040	244	11	\mathtt	\mathtt	PROPN
bracis-19040	244	12	{	{	PUNCT
bracis-19040	244	13	conc}(a	conc}(a	PROPN
bracis-19040	244	14	)	)	PUNCT
bracis-19040	244	15	\mid	\mid	ADP
bracis-19040	244	16	a	a	DET
bracis-19040	244	17	\in	\in	PROPN
bracis-19040	244	18	\mathcal	\mathcal	PROPN
bracis-19040	244	19	a\right\	a\right\	NOUN
bracis-19040	244	20	}	}	PUNCT
bracis-19040	244	21	\	\	NOUN
bracis-19040	244	22	)	)	PUNCT
bracis-19040	244	23	.	.	PUNCT
bracis-19040	245	1	next	next	ADV
bracis-19040	245	2	,	,	PUNCT
bracis-19040	245	3	we	we	PRON
bracis-19040	245	4	define	define	VERB
bracis-19040	245	5	the	the	DET
bracis-19040	245	6	consequence	consequence	NOUN
bracis-19040	245	7	function	function	NOUN
bracis-19040	245	8	\	\	PROPN
bracis-19040	245	9	(	(	PUNCT
bracis-19040	245	10	cn	cn	X
bracis-19040	245	11	_	_	PUNCT
bracis-19040	245	12	sem	sem	PROPN
bracis-19040	245	13	\	\	PROPN
bracis-19040	245	14	)	)	PUNCT
bracis-19040	245	15	,	,	PUNCT
bracis-19040	245	16	such	such	ADJ
bracis-19040	245	17	that	that	SCONJ
bracis-19040	245	18	\	\	PROPN
bracis-19040	245	19	(	(	PUNCT
bracis-19040	245	20	cn	cn	X
bracis-19040	245	21	_	_	PROPN
bracis-19040	245	22	sem	sem	NOUN
bracis-19040	245	23	(	(	PUNCT
bracis-19040	245	24	at	at	ADP
bracis-19040	245	25	)	)	PUNCT
bracis-19040	245	26	\	\	NOUN
bracis-19040	245	27	)	)	PUNCT
bracis-19040	245	28	is	be	AUX
bracis-19040	245	29	a	a	DET
bracis-19040	245	30	set	set	NOUN
bracis-19040	245	31	of	of	ADP
bracis-19040	245	32	sets	set	NOUN
bracis-19040	245	33	of	of	ADP
bracis-19040	245	34	conclusions	conclusion	NOUN
bracis-19040	245	35	under	under	ADP
bracis-19040	245	36	the	the	DET
bracis-19040	245	37	argumentation	argumentation	NOUN
bracis-19040	245	38	semantics	semantic	NOUN
bracis-19040	245	39	\	\	PROPN
bracis-19040	245	40	(	(	PUNCT
bracis-19040	245	41	sem	sem	PROPN
bracis-19040	245	42	\	\	PROPN
bracis-19040	245	43	)	)	PUNCT
bracis-19040	245	44	.	.	PUNCT
bracis-19040	246	1	definition	definition	NOUN
bracis-19040	246	2	17	17	NUM
bracis-19040	246	3	let	let	VERB
bracis-19040	246	4	\(\mathfrak	\(\mathfrak	PROPN
bracis-19040	246	5	{	{	PUNCT
bracis-19040	246	6	at}\	at}\	PROPN
bracis-19040	246	7	)	)	PUNCT
bracis-19040	246	8	be	be	VERB
bracis-19040	246	9	the	the	DET
bracis-19040	246	10	set	set	NOUN
bracis-19040	246	11	of	of	ADP
bracis-19040	246	12	all	all	DET
bracis-19040	246	13	argumentation	argumentation	NOUN
bracis-19040	246	14	theories	theory	NOUN
bracis-19040	246	15	that	that	PRON
bracis-19040	246	16	can	can	AUX
bracis-19040	246	17	be	be	AUX
bracis-19040	246	18	constructed	construct	VERB
bracis-19040	246	19	from	from	ADP
bracis-19040	246	20	a	a	DET
bracis-19040	246	21	language	language	NOUN
bracis-19040	246	22	\(\mathcal	\(\mathcal	ADJ
bracis-19040	246	23	l\	l\	NOUN
bracis-19040	246	24	)	)	PUNCT
bracis-19040	246	25	.	.	PUNCT
bracis-19040	247	1	let	let	VERB
bracis-19040	247	2	\	\	PROPN
bracis-19040	247	3	(	(	PUNCT
bracis-19040	247	4	at	at	ADP
bracis-19040	247	5	\in	\in	PROPN
bracis-19040	247	6	\mathfrak	\mathfrak	PROPN
bracis-19040	247	7	{	{	PUNCT
bracis-19040	247	8	at}\	at}\	PROPN
bracis-19040	247	9	)	)	PUNCT
bracis-19040	247	10	be	be	VERB
bracis-19040	247	11	an	an	DET
bracis-19040	247	12	argumentation	argumentation	NOUN
bracis-19040	247	13	theory	theory	NOUN
bracis-19040	247	14	and	and	CCONJ
bracis-19040	247	15	\	\	PROPN
bracis-19040	247	16	(	(	PUNCT
bracis-19040	247	17	af	af	PROPN
bracis-19040	247	18	=	=	SYM
bracis-19040	247	19	(	(	PUNCT
bracis-19040	247	20	\mathcal	\mathcal	PROPN
bracis-19040	247	21	a	a	X
bracis-19040	247	22	,	,	PUNCT
bracis-19040	247	23	\mathcal	\mathcal	PROPN
bracis-19040	247	24	d	d	NOUN
bracis-19040	247	25	,	,	PUNCT
bracis-19040	247	26	\mathcal	\mathcal	PROPN
bracis-19040	247	27	d')\	d')\	NOUN
bracis-19040	247	28	)	)	PUNCT
bracis-19040	247	29	be	be	VERB
bracis-19040	247	30	the	the	DET
bracis-19040	247	31	resulting	result	VERB
bracis-19040	247	32	\	\	NOUN
bracis-19040	247	33	(	(	PUNCT
bracis-19040	247	34	af	af	X
bracis-19040	247	35	_	_	NOUN
bracis-19040	247	36	2\	2\	X
bracis-19040	247	37	)	)	PUNCT
bracis-19040	247	38	from	from	ADP
bracis-19040	247	39	\	\	PROPN
bracis-19040	247	40	(	(	PUNCT
bracis-19040	247	41	at	at	ADP
bracis-19040	247	42	\	\	NOUN
bracis-19040	247	43	)	)	PUNCT
bracis-19040	247	44	.	.	PUNCT
bracis-19040	248	1	we	we	PRON
bracis-19040	248	2	define	define	VERB
bracis-19040	248	3	\	\	NOUN
bracis-19040	248	4	(	(	PUNCT
bracis-19040	248	5	cn	cn	X
bracis-19040	248	6	_	_	PROPN
bracis-19040	248	7	{	{	PUNCT
bracis-19040	248	8	sem	sem	NOUN
bracis-19040	248	9	}	}	PUNCT
bracis-19040	248	10	:	:	PUNCT
bracis-19040	248	11	\mathfrak	\mathfrak	PROPN
bracis-19040	248	12	{	{	PUNCT
bracis-19040	248	13	at	at	ADP
bracis-19040	248	14	}	}	PUNCT
bracis-19040	248	15	\rightarrow	\rightarrow	PROPN
bracis-19040	248	16	2^{2^{\mathtt	2^{2^{\mathtt	PROPN
bracis-19040	248	17	{	{	PUNCT
bracis-19040	248	18	concs}(\mathcal	concs}(\mathcal	PROPN
bracis-19040	248	19	a)}}\	a)}}\	NOUN
bracis-19040	248	20	)	)	PUNCT
bracis-19040	248	21	is	be	AUX
bracis-19040	248	22	a	a	DET
bracis-19040	248	23	function	function	NOUN
bracis-19040	248	24	s.t	s.t	PROPN
bracis-19040	248	25	.	.	PUNCT
bracis-19040	248	26	\	\	PROPN
bracis-19040	248	27	(	(	PUNCT
bracis-19040	248	28	cn	cn	PART
bracis-19040	248	29	_	_	PROPN
bracis-19040	248	30	{	{	PUNCT
bracis-19040	248	31	sem	sem	PROPN
bracis-19040	248	32	}	}	PUNCT
bracis-19040	248	33	(	(	PUNCT
bracis-19040	248	34	at	at	ADP
bracis-19040	248	35	)	)	PUNCT
bracis-19040	248	36	=	=	PUNCT
bracis-19040	248	37	\{\mathtt	\{\mathtt	X
bracis-19040	248	38	{	{	PUNCT
bracis-19040	248	39	concs}(e	concs}(e	NUM
bracis-19040	248	40	)	)	PUNCT
bracis-19040	248	41	\mid	\mid	ADP
bracis-19040	248	42	e	e	PROPN
bracis-19040	248	43	\subseteq	\subseteq	PROPN
bracis-19040	248	44	\mathcal	\mathcal	PROPN
bracis-19040	248	45	a\textit	a\textit	PROPN
bracis-19040	248	46	{	{	PUNCT
bracis-19040	248	47	is	be	AUX
bracis-19040	248	48	an	an	DET
bracis-19040	248	49	extension	extension	NOUN
bracis-19040	248	50	}	}	PUNCT
bracis-19040	248	51	\textit{of	\textit{of	NOUN
bracis-19040	248	52	}	}	PUNCT
bracis-19040	248	53	af	af	VERB
bracis-19040	248	54	_	_	NOUN
bracis-19040	248	55	2	2	NUM
bracis-19040	248	56	\textit	\textit	NOUN
bracis-19040	248	57	{	{	PUNCT
bracis-19040	248	58	under	under	ADP
bracis-19040	248	59	semantics	semantic	NOUN
bracis-19040	248	60	}	}	PUNCT
bracis-19040	248	61	sem	sem	PROPN
bracis-19040	248	62	\}\	\}\	NOUN
bracis-19040	248	63	)	)	PUNCT
bracis-19040	248	64	,	,	PUNCT
bracis-19040	248	65	where	where	SCONJ
bracis-19040	248	66	\	\	PROPN
bracis-19040	248	67	(	(	PUNCT
bracis-19040	248	68	sem	sem	PROPN
bracis-19040	248	69	\in	\in	PROPN
bracis-19040	248	70	\{\textit{complete	\{\textit{complete	PROPN
bracis-19040	248	71	,	,	PUNCT
bracis-19040	248	72	grounded	ground	VERB
bracis-19040	248	73	,	,	PUNCT
bracis-19040	248	74	preferred	preferred	ADJ
bracis-19040	248	75	,	,	PUNCT
bracis-19040	248	76	}	}	PUNCT
bracis-19040	248	77	\textit{stable	\textit{stable	ADJ
bracis-19040	248	78	,	,	PUNCT
bracis-19040	248	79	semi	semi	ADJ
bracis-19040	248	80	-	-	ADJ
bracis-19040	248	81	stable}\}\	stable}\}\	NOUN
bracis-19040	248	82	)	)	PUNCT
bracis-19040	248	83	.	.	PUNCT
bracis-19040	249	1	we	we	PRON
bracis-19040	249	2	will	will	AUX
bracis-19040	249	3	use	use	VERB
bracis-19040	249	4	\	\	PROPN
bracis-19040	249	5	(	(	PUNCT
bracis-19040	249	6	cn	cn	X
bracis-19040	249	7	_	_	PUNCT
bracis-19040	249	8	{	{	PUNCT
bracis-19040	249	9	\textit{c	\textit{c	NOUN
bracis-19040	249	10	}	}	PUNCT
bracis-19040	249	11	}	}	PUNCT
bracis-19040	249	12	(	(	PUNCT
bracis-19040	249	13	at	at	ADP
bracis-19040	249	14	)	)	PUNCT
bracis-19040	249	15	\	\	NOUN
bracis-19040	249	16	)	)	PUNCT
bracis-19040	249	17	as	as	ADP
bracis-19040	249	18	the	the	DET
bracis-19040	249	19	shortening	shortening	NOUN
bracis-19040	249	20	of	of	ADP
bracis-19040	249	21	\	\	PROPN
bracis-19040	249	22	(	(	PUNCT
bracis-19040	249	23	cn	cn	X
bracis-19040	249	24	_	_	PROPN
bracis-19040	249	25	{	{	PUNCT
bracis-19040	249	26	complete	complete	ADJ
bracis-19040	249	27	}	}	PUNCT
bracis-19040	249	28	(	(	PUNCT
bracis-19040	249	29	at	at	ADP
bracis-19040	249	30	)	)	PUNCT
bracis-19040	249	31	\	\	NOUN
bracis-19040	249	32	)	)	PUNCT
bracis-19040	249	33	.	.	PUNCT
bracis-19040	250	1	for	for	ADP
bracis-19040	250	2	a	a	DET
bracis-19040	250	3	set	set	NOUN
bracis-19040	250	4	\(\mathfrak	\(\mathfrak	PROPN
bracis-19040	250	5	a\	a\	NOUN
bracis-19040	250	6	)	)	PUNCT
bracis-19040	250	7	of	of	ADP
bracis-19040	250	8	propositional	propositional	ADJ
bracis-19040	250	9	atoms	atom	NOUN
bracis-19040	250	10	,	,	PUNCT
bracis-19040	250	11	by	by	ADP
bracis-19040	250	12	\	\	PROPN
bracis-19040	250	13	(	(	PUNCT
bracis-19040	250	14	cn	cn	X
bracis-19040	250	15	_	_	PROPN
bracis-19040	250	16	{	{	PUNCT
bracis-19040	250	17	sem	sem	PROPN
bracis-19040	250	18	}	}	PUNCT
bracis-19040	250	19	(	(	PUNCT
bracis-19040	250	20	at	at	ADP
bracis-19040	250	21	)	)	PUNCT
bracis-19040	250	22	_	_	PRON
bracis-19040	250	23	{	{	PUNCT
bracis-19040	250	24	\mid	\mid	ADP
bracis-19040	250	25	\mathfrak	\mathfrak	ADV
bracis-19040	250	26	a}\	a}\	NUM
bracis-19040	250	27	)	)	PUNCT
bracis-19040	250	28	,	,	PUNCT
bracis-19040	250	29	we	we	PRON
bracis-19040	250	30	mean	mean	VERB
bracis-19040	250	31	the	the	DET
bracis-19040	250	32	set	set	NOUN
bracis-19040	250	33	\(\left\	\(\left\	PROPN
bracis-19040	250	34	{	{	PUNCT
bracis-19040	250	35	\mathcal	\mathcal	PROPN
bracis-19040	250	36	f_{\mid	f_{\mid	NOUN
bracis-19040	250	37	\mathfrak	\mathfrak	ADP
bracis-19040	250	38	a	a	PRON
bracis-19040	250	39	}	}	PUNCT
bracis-19040	250	40	\mid	\mid	PROPN
bracis-19040	250	41	\mathcal	\mathcal	PROPN
bracis-19040	250	42	f	f	PROPN
bracis-19040	250	43	\in	\in	PROPN
bracis-19040	250	44	cn	cn	PROPN
bracis-19040	250	45	_	_	PROPN
bracis-19040	250	46	{	{	PUNCT
bracis-19040	250	47	sem	sem	PROPN
bracis-19040	250	48	}	}	PUNCT
bracis-19040	250	49	(	(	PUNCT
bracis-19040	250	50	at	at	ADP
bracis-19040	250	51	)	)	PUNCT
bracis-19040	250	52	\right\	\right\	ADJ
bracis-19040	250	53	}	}	PUNCT
bracis-19040	250	54	\	\	NOUN
bracis-19040	250	55	)	)	PUNCT
bracis-19040	250	56	.	.	PUNCT
bracis-19040	251	1	in	in	ADP
bracis-19040	251	2	order	order	NOUN
bracis-19040	251	3	to	to	PART
bracis-19040	251	4	define	define	VERB
bracis-19040	251	5	the	the	DET
bracis-19040	251	6	postulate	postulate	NOUN
bracis-19040	251	7	for	for	ADP
bracis-19040	251	8	non	non	ADJ
bracis-19040	251	9	-	-	NOUN
bracis-19040	251	10	interference	interference	NOUN
bracis-19040	251	11	,	,	PUNCT
bracis-19040	251	12	we	we	PRON
bracis-19040	251	13	need	need	VERB
bracis-19040	251	14	to	to	PART
bracis-19040	251	15	specify	specify	VERB
bracis-19040	251	16	what	what	PRON
bracis-19040	251	17	the	the	DET
bracis-19040	251	18	union	union	NOUN
bracis-19040	251	19	of	of	ADP
bracis-19040	251	20	two	two	NUM
bracis-19040	251	21	argumentation	argumentation	NOUN
bracis-19040	251	22	theories	theory	NOUN
bracis-19040	251	23	looks	look	VERB
bracis-19040	251	24	like	like	ADP
bracis-19040	251	25	:	:	PUNCT
bracis-19040	251	26	definition	definition	NOUN
bracis-19040	251	27	18	18	NUM
bracis-19040	251	28	(	(	PUNCT
bracis-19040	251	29	union	union	NOUN
bracis-19040	251	30	of	of	ADP
bracis-19040	251	31	argumentation	argumentation	NOUN
bracis-19040	251	32	theories	theory	NOUN
bracis-19040	251	33	)	)	PUNCT
bracis-19040	251	34	.	.	PUNCT
bracis-19040	252	1	let	let	VERB
bracis-19040	252	2	\	\	PROPN
bracis-19040	252	3	(	(	PUNCT
bracis-19040	252	4	at	at	ADP
bracis-19040	252	5	_	_	NOUN
bracis-19040	252	6	1	1	NUM
bracis-19040	252	7	=	=	SYM
bracis-19040	252	8	(	(	PUNCT
bracis-19040	252	9	as	as	ADP
bracis-19040	252	10	_	_	NOUN
bracis-19040	252	11	1	1	NUM
bracis-19040	252	12	,	,	PUNCT
bracis-19040	252	13	\mathcal	\mathcal	PROPN
bracis-19040	252	14	k_1)\	k_1)\	PROPN
bracis-19040	252	15	)	)	PUNCT
bracis-19040	252	16	and	and	CCONJ
bracis-19040	252	17	\	\	PROPN
bracis-19040	252	18	(	(	PUNCT
bracis-19040	252	19	at	at	ADP
bracis-19040	252	20	_	_	NOUN
bracis-19040	252	21	2	2	NUM
bracis-19040	252	22	=	=	SYM
bracis-19040	252	23	(	(	PUNCT
bracis-19040	252	24	as	as	ADP
bracis-19040	252	25	_	_	NOUN
bracis-19040	252	26	2	2	NUM
bracis-19040	252	27	,	,	PUNCT
bracis-19040	252	28	\mathcal	\mathcal	PROPN
bracis-19040	252	29	k_2)\	k_2)\	NOUN
bracis-19040	252	30	)	)	PUNCT
bracis-19040	252	31	be	be	AUX
bracis-19040	252	32	argumentation	argumentation	NOUN
bracis-19040	252	33	theories	theory	NOUN
bracis-19040	253	1	s.t	s.t	PROPN
bracis-19040	253	2	.	.	PROPN
bracis-19040	253	3	\(\mathcal	\(\mathcal	PROPN
bracis-19040	253	4	k_1	k_1	PROPN
bracis-19040	253	5	=	=	SYM
bracis-19040	253	6	\mathcal	\mathcal	PROPN
bracis-19040	253	7	k_{n_1	k_{n_1	PRON
bracis-19040	253	8	}	}	PUNCT
bracis-19040	253	9	\cup	\cup	X
bracis-19040	253	10	\mathcal	\mathcal	PROPN
bracis-19040	253	11	k_{p_1}\	k_{p_1}\	PROPN
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bracis-19040	253	13	,	,	PUNCT
bracis-19040	253	14	\(\mathcal	\(\mathcal	ADJ
bracis-19040	253	15	k_2	k_2	NOUN
bracis-19040	253	16	=	=	PUNCT
bracis-19040	253	17	\mathcal	\mathcal	PROPN
bracis-19040	253	18	k_{n_2	k_{n_2	PUNCT
bracis-19040	253	19	}	}	PUNCT
bracis-19040	253	20	\cup	\cup	VERB
bracis-19040	253	21	\mathcal	\mathcal	PROPN
bracis-19040	253	22	k_{p_2}\	k_{p_2}\	PROPN
bracis-19040	253	23	)	)	PUNCT
bracis-19040	253	24	,	,	PUNCT
bracis-19040	253	25	\	\	PROPN
bracis-19040	253	26	(	(	PUNCT
bracis-19040	253	27	as	as	ADP
bracis-19040	253	28	_	_	PRON
bracis-19040	253	29	1	1	NUM
bracis-19040	253	30	=	=	SYM
bracis-19040	253	31	(	(	PUNCT
bracis-19040	253	32	\mathcal	\mathcal	PROPN
bracis-19040	253	33	l,^-	l,^-	PROPN
bracis-19040	253	34	,	,	PUNCT
bracis-19040	253	35	\mathcal	\mathcal	PROPN
bracis-19040	253	36	r_{s_1	r_{s_1	PROPN
bracis-19040	253	37	}	}	PUNCT
bracis-19040	253	38	\cup	\cup	VERB
bracis-19040	253	39	\mathcal	\mathcal	PROPN
bracis-19040	253	40	r_{d_1	r_{d_1	NOUN
bracis-19040	253	41	}	}	PUNCT
bracis-19040	253	42	,	,	PUNCT
bracis-19040	253	43	n_1)\	n_1)\	X
bracis-19040	253	44	)	)	PUNCT
bracis-19040	253	45	and	and	CCONJ
bracis-19040	253	46	\	\	PROPN
bracis-19040	253	47	(	(	PUNCT
bracis-19040	253	48	as	as	ADP
bracis-19040	253	49	_	_	NOUN
bracis-19040	253	50	2	2	X
bracis-19040	253	51	=	=	SYM
bracis-19040	253	52	(	(	PUNCT
bracis-19040	253	53	\mathcal	\mathcal	PROPN
bracis-19040	253	54	l,^-	l,^-	PROPN
bracis-19040	253	55	,	,	PUNCT
bracis-19040	253	56	\mathcal	\mathcal	ADJ
bracis-19040	253	57	r_{s_2	r_{s_2	PROPN
bracis-19040	253	58	}	}	PUNCT
bracis-19040	253	59	\cup	\cup	VERB
bracis-19040	253	60	\mathcal	\mathcal	PROPN
bracis-19040	253	61	r_{d_2	r_{d_2	NOUN
bracis-19040	253	62	}	}	PUNCT
bracis-19040	253	63	,	,	PUNCT
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bracis-19040	253	65	)	)	PUNCT
bracis-19040	253	66	.	.	PUNCT
bracis-19040	254	1	besides	besides	ADV
bracis-19040	254	2	,	,	PUNCT
bracis-19040	254	3	we	we	PRON
bracis-19040	254	4	assume	assume	VERB
bracis-19040	254	5	\(n_1(r	\(n_1(r	NOUN
bracis-19040	254	6	)	)	PUNCT
bracis-19040	255	1	=	=	SYM
bracis-19040	255	2	n_2(r)\	n_2(r)\	PROPN
bracis-19040	255	3	)	)	PUNCT
bracis-19040	255	4	for	for	ADP
bracis-19040	255	5	any	any	DET
bracis-19040	255	6	\(r	\(r	ADJ
bracis-19040	255	7	\in	\in	PROPN
bracis-19040	255	8	\mathcal	\mathcal	NOUN
bracis-19040	255	9	r_{d_1	r_{d_1	NOUN
bracis-19040	255	10	}	}	PUNCT
bracis-19040	255	11	\cup	\cup	VERB
bracis-19040	255	12	\mathcal	\mathcal	ADJ
bracis-19040	255	13	r_{d_2}\	r_{d_2}\	NOUN
bracis-19040	255	14	)	)	PUNCT
bracis-19040	255	15	.	.	PUNCT
bracis-19040	256	1	we	we	PRON
bracis-19040	256	2	define	define	VERB
bracis-19040	256	3	\	\	NOUN
bracis-19040	256	4	(	(	PUNCT
bracis-19040	256	5	at	at	ADP
bracis-19040	256	6	_	_	NOUN
bracis-19040	256	7	1	1	NUM
bracis-19040	256	8	\cup	\cup	NOUN
bracis-19040	256	9	at	at	ADP
bracis-19040	256	10	_	_	NOUN
bracis-19040	256	11	2\	2\	NUM
bracis-19040	256	12	)	)	PUNCT
bracis-19040	256	13	is	be	AUX
bracis-19040	256	14	an	an	DET
bracis-19040	256	15	argumentation	argumentation	NOUN
bracis-19040	256	16	theory	theory	NOUN
bracis-19040	256	17	\	\	PROPN
bracis-19040	256	18	(	(	PUNCT
bracis-19040	256	19	at	at	ADP
bracis-19040	256	20	=	=	PUNCT
bracis-19040	256	21	(	(	PUNCT
bracis-19040	256	22	as	as	ADP
bracis-19040	256	23	,	,	PUNCT
bracis-19040	256	24	\mathcal	\mathcal	PROPN
bracis-19040	256	25	k)\	k)\	PROPN
bracis-19040	256	26	)	)	PUNCT
bracis-19040	256	27	s.t	s.t	PROPN
bracis-19040	256	28	.	.	PROPN
bracis-19040	256	29	\(\mathcal	\(\mathcal	PROPN
bracis-19040	256	30	k=	k=	X
bracis-19040	257	1	\mathcal	\mathcal	PROPN
bracis-19040	257	2	k_n\cup	k_n\cup	PROPN
bracis-19040	257	3	\mathcal	\mathcal	PROPN
bracis-19040	257	4	k_p\	k_p\	PROPN
bracis-19040	257	5	)	)	PUNCT
bracis-19040	257	6	with	with	ADP
bracis-19040	257	7	\(\mathcal	\(\mathcal	ADJ
bracis-19040	257	8	k_n=	k_n=	NOUN
bracis-19040	257	9	\mathcal	\mathcal	PROPN
bracis-19040	257	10	k_{n_1	k_{n_1	PUNCT
bracis-19040	257	11	}	}	PUNCT
bracis-19040	257	12	\cup	\cup	X
bracis-19040	257	13	\mathcal	\mathcal	PROPN
bracis-19040	257	14	k_{n_2}\	k_{n_2}\	PROPN
bracis-19040	257	15	)	)	PUNCT
bracis-19040	257	16	,	,	PUNCT
bracis-19040	257	17	and	and	CCONJ
bracis-19040	257	18	\(\mathcal	\(\mathcal	ADJ
bracis-19040	257	19	k_p=	k_p=	NOUN
bracis-19040	257	20	\mathcal	\mathcal	PROPN
bracis-19040	257	21	k_{p_1	k_{p_1	PUNCT
bracis-19040	257	22	}	}	PUNCT
bracis-19040	257	23	\cup	\cup	VERB
bracis-19040	257	24	\mathcal	\mathcal	PROPN
bracis-19040	257	25	k_{p_2}\	k_{p_2}\	PROPN
bracis-19040	257	26	)	)	PUNCT
bracis-19040	257	27	;	;	PUNCT
bracis-19040	257	28	\	\	PROPN
bracis-19040	257	29	(	(	PUNCT
bracis-19040	257	30	as	as	ADP
bracis-19040	257	31	=	=	SYM
bracis-19040	257	32	(	(	PUNCT
bracis-19040	257	33	\mathcal	\mathcal	PROPN
bracis-19040	257	34	l,^-	l,^-	PROPN
bracis-19040	257	35	,	,	PUNCT
bracis-19040	257	36	\mathcal	\mathcal	PROPN
bracis-19040	257	37	r_s	r_s	NOUN
bracis-19040	257	38	\cup	\cup	VERB
bracis-19040	257	39	\mathcal	\mathcal	PROPN
bracis-19040	257	40	r_d	r_d	NOUN
bracis-19040	257	41	,	,	PUNCT
bracis-19040	257	42	n)\	n)\	NUM
bracis-19040	257	43	)	)	PUNCT
bracis-19040	257	44	with	with	ADP
bracis-19040	257	45	\(\mathcal	\(\mathcal	ADJ
bracis-19040	257	46	r_s	r_s	ADJ
bracis-19040	257	47	=	=	SYM
bracis-19040	257	48	\mathcal	\mathcal	PROPN
bracis-19040	257	49	r_{s_1	r_{s_1	PROPN
bracis-19040	257	50	}	}	PUNCT
bracis-19040	257	51	\cup	\cup	VERB
bracis-19040	257	52	\mathcal	\mathcal	PROPN
bracis-19040	257	53	r_{s_2}\	r_{s_2}\	PROPN
bracis-19040	257	54	)	)	PUNCT
bracis-19040	257	55	,	,	PUNCT
bracis-19040	257	56	\(\mathcal	\(\mathcal	ADJ
bracis-19040	257	57	r_d	r_d	PUNCT
bracis-19040	257	58	=	=	SYM
bracis-19040	258	1	\mathcal	\mathcal	ADJ
bracis-19040	258	2	r_{d_1	r_{d_1	VERB
bracis-19040	258	3	}	}	PUNCT
bracis-19040	258	4	\cup	\cup	VERB
bracis-19040	258	5	\mathcal	\mathcal	ADJ
bracis-19040	258	6	r_{d_2}\	r_{d_2}\	NOUN
bracis-19040	258	7	)	)	PUNCT
bracis-19040	258	8	and	and	CCONJ
bracis-19040	258	9	\(n(r	\(n(r	PROPN
bracis-19040	258	10	)	)	PUNCT
bracis-19040	258	11	=	=	SYM
bracis-19040	258	12	n_1(r)\	n_1(r)\	PROPN
bracis-19040	258	13	)	)	PUNCT
bracis-19040	258	14	if	if	SCONJ
bracis-19040	258	15	\(r	\(r	ADJ
bracis-19040	258	16	\in	\in	PROPN
bracis-19040	258	17	\mathcal	\mathcal	NOUN
bracis-19040	258	18	r_{d_1}\	r_{d_1}\	PROPN
bracis-19040	258	19	)	)	PUNCT
bracis-19040	258	20	;	;	PUNCT
bracis-19040	258	21	otherwise	otherwise	ADV
bracis-19040	258	22	,	,	PUNCT
bracis-19040	258	23	\(n(r	\(n(r	PROPN
bracis-19040	258	24	)	)	PUNCT
bracis-19040	258	25	=	=	SYM
bracis-19040	258	26	n_2(r)\	n_2(r)\	PROPN
bracis-19040	258	27	)	)	PUNCT
bracis-19040	258	28	.	.	PUNCT
bracis-19040	259	1	other	other	ADJ
bracis-19040	259	2	very	very	ADV
bracis-19040	259	3	important	important	ADJ
bracis-19040	259	4	notion	notion	NOUN
bracis-19040	259	5	to	to	PART
bracis-19040	259	6	guarantee	guarantee	VERB
bracis-19040	259	7	our	our	PRON
bracis-19040	259	8	results	result	NOUN
bracis-19040	259	9	in	in	ADP
bracis-19040	259	10	this	this	DET
bracis-19040	259	11	section	section	NOUN
bracis-19040	259	12	is	be	AUX
bracis-19040	259	13	that	that	PRON
bracis-19040	259	14	of	of	ADP
bracis-19040	259	15	syntactically	syntactically	ADV
bracis-19040	259	16	disjoint	disjoint	VERB
bracis-19040	259	17	argumentation	argumentation	NOUN
bracis-19040	259	18	theories	theory	NOUN
bracis-19040	259	19	;	;	PUNCT
bracis-19040	259	20	it	it	PRON
bracis-19040	259	21	will	will	AUX
bracis-19040	259	22	be	be	AUX
bracis-19040	259	23	employed	employ	VERB
bracis-19040	259	24	to	to	PART
bracis-19040	259	25	characterise	characterise	VERB
bracis-19040	259	26	non	non	ADJ
bracis-19040	259	27	-	-	NOUN
bracis-19040	259	28	interference	interference	NOUN
bracis-19040	259	29	(	(	PUNCT
bracis-19040	259	30	definition	definition	NOUN
bracis-19040	259	31	22	22	NUM
bracis-19040	259	32	)	)	PUNCT
bracis-19040	259	33	and	and	CCONJ
bracis-19040	259	34	contamination	contamination	NOUN
bracis-19040	259	35	(	(	PUNCT
bracis-19040	259	36	definition	definition	NOUN
bracis-19040	259	37	24	24	NUM
bracis-19040	259	38	)	)	PUNCT
bracis-19040	259	39	.	.	PUNCT
bracis-19040	260	1	definition	definition	NOUN
bracis-19040	260	2	19	19	NUM
bracis-19040	260	3	(	(	PUNCT
bracis-19040	260	4	syntactically	syntactically	ADV
bracis-19040	260	5	disjoint	disjoint	VERB
bracis-19040	260	6	argumentation	argumentation	NOUN
bracis-19040	260	7	theories	theory	NOUN
bracis-19040	260	8	)	)	PUNCT
bracis-19040	260	9	.	.	PUNCT
bracis-19040	261	1	let	let	VERB
bracis-19040	261	2	\	\	PROPN
bracis-19040	261	3	(	(	PUNCT
bracis-19040	261	4	at	at	ADP
bracis-19040	261	5	_	_	NOUN
bracis-19040	261	6	1\	1\	NUM
bracis-19040	261	7	)	)	PUNCT
bracis-19040	261	8	and	and	CCONJ
bracis-19040	261	9	\	\	PROPN
bracis-19040	261	10	(	(	PUNCT
bracis-19040	261	11	at	at	ADP
bracis-19040	261	12	_	_	NOUN
bracis-19040	261	13	2\	2\	NUM
bracis-19040	261	14	)	)	PUNCT
bracis-19040	261	15	be	be	AUX
bracis-19040	261	16	argumentation	argumentation	NOUN
bracis-19040	261	17	theories	theory	NOUN
bracis-19040	261	18	.	.	PUNCT
bracis-19040	262	1	we	we	PRON
bracis-19040	262	2	say	say	VERB
bracis-19040	262	3	\	\	PROPN
bracis-19040	262	4	(	(	PUNCT
bracis-19040	262	5	at	at	ADP
bracis-19040	262	6	_	_	NOUN
bracis-19040	262	7	1\	1\	NUM
bracis-19040	262	8	)	)	PUNCT
bracis-19040	262	9	and	and	CCONJ
bracis-19040	262	10	\	\	PROPN
bracis-19040	262	11	(	(	PUNCT
bracis-19040	262	12	at	at	ADP
bracis-19040	262	13	_	_	NOUN
bracis-19040	262	14	2\	2\	NUM
bracis-19040	262	15	)	)	PUNCT
bracis-19040	262	16	are	be	AUX
bracis-19040	262	17	syntactically	syntactically	ADV
bracis-19040	262	18	disjoint	disjoint	ADJ
bracis-19040	262	19	when	when	SCONJ
bracis-19040	262	20	\(\texttt	\(\texttt	NOUN
bracis-19040	262	21	{	{	PUNCT
bracis-19040	262	22	atoms	atom	NOUN
bracis-19040	262	23	}	}	PUNCT
bracis-19040	262	24	(	(	PUNCT
bracis-19040	262	25	at	at	ADP
bracis-19040	262	26	_	_	NOUN
bracis-19040	262	27	1	1	NUM
bracis-19040	262	28	)	)	PUNCT
bracis-19040	262	29	\cap	\cap	NOUN
bracis-19040	263	1	\texttt	\texttt	PROPN
bracis-19040	263	2	{	{	PUNCT
bracis-19040	263	3	atoms	atom	NOUN
bracis-19040	263	4	}	}	PUNCT
bracis-19040	263	5	(	(	PUNCT
bracis-19040	263	6	at	at	ADP
bracis-19040	263	7	_	_	NOUN
bracis-19040	263	8	2	2	NUM
bracis-19040	263	9	)	)	PUNCT
bracis-19040	263	10	=	=	VERB
bracis-19040	263	11	\emptyset	\emptyset	VERB
bracis-19040	263	12	\	\	NOUN
bracis-19040	263	13	)	)	PUNCT
bracis-19040	263	14	.	.	PUNCT
bracis-19040	264	1	the	the	DET
bracis-19040	264	2	depth	depth	NOUN
bracis-19040	264	3	of	of	ADP
bracis-19040	264	4	an	an	DET
bracis-19040	264	5	argument	argument	NOUN
bracis-19040	264	6	will	will	AUX
bracis-19040	264	7	be	be	AUX
bracis-19040	264	8	employed	employ	VERB
bracis-19040	264	9	in	in	ADP
bracis-19040	264	10	the	the	DET
bracis-19040	264	11	proof	proof	NOUN
bracis-19040	264	12	of	of	ADP
bracis-19040	264	13	lemma	lemma	PROPN
bracis-19040	264	14	1	1	NUM
bracis-19040	264	15	:	:	PUNCT
bracis-19040	264	16	definition	definition	NOUN
bracis-19040	264	17	20	20	NUM
bracis-19040	264	18	(	(	PUNCT
bracis-19040	264	19	depth	depth	NOUN
bracis-19040	264	20	of	of	ADP
bracis-19040	264	21	an	an	DET
bracis-19040	264	22	argument	argument	NOUN
bracis-19040	264	23	)	)	PUNCT
bracis-19040	264	24	.	.	PUNCT
bracis-19040	265	1	let	let	VERB
bracis-19040	265	2	a	a	DET
bracis-19040	265	3	be	be	AUX
bracis-19040	265	4	an	an	DET
bracis-19040	265	5	argument	argument	NOUN
bracis-19040	265	6	whose	whose	DET
bracis-19040	265	7	structure	structure	NOUN
bracis-19040	265	8	complies	comply	VERB
bracis-19040	265	9	with	with	ADP
bracis-19040	265	10	definition	definition	NOUN
bracis-19040	265	11	4	4	NUM
bracis-19040	265	12	.	.	PUNCT
bracis-19040	266	1	the	the	DET
bracis-19040	266	2	depth	depth	NOUN
bracis-19040	266	3	of	of	ADP
bracis-19040	266	4	a	a	PRON
bracis-19040	266	5	,	,	PUNCT
bracis-19040	266	6	denoted	denote	VERB
bracis-19040	266	7	by	by	ADP
bracis-19040	266	8	\(\texttt	\(\texttt	NOUN
bracis-19040	266	9	{	{	PUNCT
bracis-19040	266	10	depth}(a)\	depth}(a)\	NOUN
bracis-19040	266	11	)	)	PUNCT
bracis-19040	266	12	,	,	PUNCT
bracis-19040	266	13	is	be	AUX
bracis-19040	266	14	1	1	NUM
bracis-19040	266	15	if	if	SCONJ
bracis-19040	266	16	\(\mathtt	\(\mathtt	NOUN
bracis-19040	266	17	{	{	PUNCT
bracis-19040	266	18	rules}(a	rules}(a	PROPN
bracis-19040	266	19	)	)	PUNCT
bracis-19040	266	20	=	=	PUNCT
bracis-19040	267	1	\emptyset	\emptyset	VERB
bracis-19040	267	2	\	\	NOUN
bracis-19040	267	3	)	)	PUNCT
bracis-19040	267	4	or	or	CCONJ
bracis-19040	267	5	else	else	ADV
bracis-19040	267	6	\(\texttt	\(\texttt	NOUN
bracis-19040	267	7	{	{	PUNCT
bracis-19040	267	8	depth}(a	depth}(a	PROPN
bracis-19040	267	9	)	)	PUNCT
bracis-19040	267	10	=	=	SYM
bracis-19040	267	11	1	1	NUM
bracis-19040	267	12	+	+	CCONJ
bracis-19040	267	13	max	max	PROPN
bracis-19040	267	14	\{\texttt	\{\texttt	X
bracis-19040	267	15	{	{	PUNCT
bracis-19040	267	16	depth}(a	depth}(a	NOUN
bracis-19040	267	17	'	'	PUNCT
bracis-19040	267	18	)	)	PUNCT
bracis-19040	268	1	\mid	\mid	ADP
bracis-19040	268	2	a	a	DET
bracis-19040	268	3	'	'	PUNCT
bracis-19040	268	4	\in	\in	ADJ
bracis-19040	268	5	\mathtt	\mathtt	PROPN
bracis-19040	268	6	{	{	PUNCT
bracis-19040	268	7	sub}(a	sub}(a	NOUN
bracis-19040	268	8	)	)	PUNCT
bracis-19040	268	9	\}\	\}\	NOUN
bracis-19040	268	10	)	)	PUNCT
bracis-19040	268	11	.	.	PUNCT
bracis-19040	269	1	the	the	DET
bracis-19040	269	2	following	follow	VERB
bracis-19040	269	3	essential	essential	ADJ
bracis-19040	269	4	lemma	lemma	PROPN
bracis-19040	269	5	states	state	VERB
bracis-19040	269	6	that	that	SCONJ
bracis-19040	269	7	for	for	ADP
bracis-19040	269	8	every	every	DET
bracis-19040	269	9	argument	argument	NOUN
bracis-19040	269	10	a	a	DET
bracis-19040	269	11	such	such	ADJ
bracis-19040	269	12	that	that	SCONJ
bracis-19040	269	13	\(\mathtt	\(\mathtt	NOUN
bracis-19040	269	14	{	{	PUNCT
bracis-19040	269	15	conc}(a	conc}(a	PROPN
bracis-19040	269	16	)	)	PUNCT
bracis-19040	269	17	\subseteq	\subseteq	PROPN
bracis-19040	269	18	\texttt	\texttt	PROPN
bracis-19040	269	19	{	{	PUNCT
bracis-19040	269	20	atoms}(af)\	atoms}(af)\	NUM
bracis-19040	269	21	)	)	PUNCT
bracis-19040	269	22	there	there	PRON
bracis-19040	269	23	exists	exist	VERB
bracis-19040	269	24	an	an	DET
bracis-19040	269	25	argument	argument	NOUN
bracis-19040	269	26	\(a'\	\(a'\	NOUN
bracis-19040	269	27	)	)	PUNCT
bracis-19040	269	28	with	with	ADP
bracis-19040	269	29	the	the	DET
bracis-19040	269	30	same	same	ADJ
bracis-19040	269	31	conclusion	conclusion	NOUN
bracis-19040	269	32	,	,	PUNCT
bracis-19040	269	33	\(\texttt	\(\texttt	X
bracis-19040	269	34	{	{	PUNCT
bracis-19040	269	35	atoms}(a	atoms}(a	NOUN
bracis-19040	269	36	'	'	PUNCT
bracis-19040	269	37	)	)	PUNCT
bracis-19040	270	1	\subseteq	\subseteq	PROPN
bracis-19040	270	2	\texttt	\texttt	PROPN
bracis-19040	270	3	{	{	PUNCT
bracis-19040	270	4	atoms}(af)\	atoms}(af)\	NUM
bracis-19040	270	5	)	)	PUNCT
bracis-19040	270	6	,	,	PUNCT
bracis-19040	270	7	and	and	CCONJ
bracis-19040	270	8	is	be	AUX
bracis-19040	270	9	not	not	PART
bracis-19040	270	10	more	more	ADV
bracis-19040	270	11	vulnerable	vulnerable	ADJ
bracis-19040	270	12	than	than	ADP
bracis-19040	270	13	a.	a.	NOUN
bracis-19040	270	14	lemma	lemma	PROPN
bracis-19040	270	15	1	1	NUM
bracis-19040	270	16	let	let	VERB
bracis-19040	270	17	\	\	PROPN
bracis-19040	270	18	(	(	PUNCT
bracis-19040	270	19	as	as	ADP
bracis-19040	270	20	_	_	PRON
bracis-19040	270	21	1	1	NUM
bracis-19040	270	22	=	=	SYM
bracis-19040	270	23	(	(	PUNCT
bracis-19040	270	24	\mathcal	\mathcal	PROPN
bracis-19040	270	25	l,^-	l,^-	PROPN
bracis-19040	270	26	,	,	PUNCT
bracis-19040	270	27	\mathcal	\mathcal	PROPN
bracis-19040	270	28	r_s\cup	r_s\cup	NOUN
bracis-19040	270	29	\mathcal	\mathcal	INTJ
bracis-19040	270	30	r_{d_1	r_{d_1	ADP
bracis-19040	270	31	}	}	PUNCT
bracis-19040	270	32	,	,	PUNCT
bracis-19040	270	33	n_1)\	n_1)\	X
bracis-19040	270	34	)	)	PUNCT
bracis-19040	270	35	and	and	CCONJ
bracis-19040	270	36	\	\	PROPN
bracis-19040	270	37	(	(	PUNCT
bracis-19040	270	38	as	as	ADP
bracis-19040	270	39	_	_	NOUN
bracis-19040	270	40	2	2	X
bracis-19040	270	41	=	=	SYM
bracis-19040	270	42	(	(	PUNCT
bracis-19040	270	43	\mathcal	\mathcal	PROPN
bracis-19040	270	44	l,^-	l,^-	PROPN
bracis-19040	270	45	,	,	PUNCT
bracis-19040	270	46	\mathcal	\mathcal	PROPN
bracis-19040	270	47	r_s\cup	r_s\cup	NOUN
bracis-19040	270	48	\mathcal	\mathcal	INTJ
bracis-19040	270	49	r_{d_2	r_{d_2	NOUN
bracis-19040	270	50	}	}	PUNCT
bracis-19040	270	51	,	,	PUNCT
bracis-19040	270	52	n_2)\	n_2)\	NOUN
bracis-19040	270	53	)	)	PUNCT
bracis-19040	270	54	be	be	AUX
bracis-19040	270	55	argumentation	argumentation	NOUN
bracis-19040	270	56	systems	systems	PROPN
bracis-19040	270	57	s.t	s.t	PROPN
bracis-19040	270	58	.	.	PROPN
bracis-19040	270	59	\(\mathcal	\(\mathcal	ADJ
bracis-19040	270	60	r_s\	r_s\	NOUN
bracis-19040	270	61	)	)	PUNCT
bracis-19040	270	62	is	be	AUX
bracis-19040	270	63	a	a	DET
bracis-19040	270	64	set	set	NOUN
bracis-19040	270	65	of	of	ADP
bracis-19040	270	66	strict	strict	ADJ
bracis-19040	270	67	rules	rule	NOUN
bracis-19040	270	68	and	and	CCONJ
bracis-19040	270	69	\(\mathcal	\(\mathcal	ADJ
bracis-19040	270	70	r_{d_1}\	r_{d_1}\	NOUN
bracis-19040	270	71	)	)	PUNCT
bracis-19040	270	72	and	and	CCONJ
bracis-19040	270	73	\(\mathcal	\(\mathcal	ADJ
bracis-19040	270	74	r_{d_2}\	r_{d_2}\	NOUN
bracis-19040	270	75	)	)	PUNCT
bracis-19040	270	76	are	be	AUX
bracis-19040	270	77	sets	set	NOUN
bracis-19040	270	78	of	of	ADP
bracis-19040	270	79	defeasible	defeasible	ADJ
bracis-19040	270	80	rules	rule	NOUN
bracis-19040	270	81	.	.	PUNCT
bracis-19040	271	1	let	let	VERB
bracis-19040	271	2	\	\	PROPN
bracis-19040	271	3	(	(	PUNCT
bracis-19040	271	4	at	at	ADP
bracis-19040	271	5	=	=	PUNCT
bracis-19040	271	6	at	at	ADP
bracis-19040	271	7	_	_	NOUN
bracis-19040	271	8	1	1	NUM
bracis-19040	271	9	\cup	\cup	NOUN
bracis-19040	271	10	at	at	ADP
bracis-19040	271	11	_	_	PROPN
bracis-19040	271	12	2\	2\	NUM
bracis-19040	271	13	)	)	PUNCT
bracis-19040	271	14	be	be	VERB
bracis-19040	271	15	an	an	DET
bracis-19040	271	16	argumentation	argumentation	NOUN
bracis-19040	271	17	theory	theory	NOUN
bracis-19040	271	18	where	where	SCONJ
bracis-19040	271	19	\	\	PROPN
bracis-19040	271	20	(	(	PUNCT
bracis-19040	271	21	at	at	ADP
bracis-19040	271	22	_	_	NOUN
bracis-19040	271	23	1	1	NUM
bracis-19040	271	24	=	=	SYM
bracis-19040	271	25	(	(	PUNCT
bracis-19040	271	26	as	as	ADP
bracis-19040	271	27	_	_	NOUN
bracis-19040	271	28	1	1	NUM
bracis-19040	271	29	,	,	PUNCT
bracis-19040	271	30	\mathcal	\mathcal	PROPN
bracis-19040	271	31	k_1)\	k_1)\	PROPN
bracis-19040	271	32	)	)	PUNCT
bracis-19040	271	33	and	and	CCONJ
bracis-19040	271	34	\	\	PROPN
bracis-19040	271	35	(	(	PUNCT
bracis-19040	271	36	at	at	ADP
bracis-19040	271	37	_	_	NOUN
bracis-19040	271	38	2	2	NUM
bracis-19040	271	39	=	=	SYM
bracis-19040	271	40	(	(	PUNCT
bracis-19040	271	41	as	as	ADP
bracis-19040	271	42	_	_	NOUN
bracis-19040	271	43	2	2	NUM
bracis-19040	271	44	,	,	PUNCT
bracis-19040	271	45	\mathcal	\mathcal	PROPN
bracis-19040	271	46	k_2)\	k_2)\	NOUN
bracis-19040	271	47	)	)	PUNCT
bracis-19040	271	48	are	be	AUX
bracis-19040	271	49	syntactically	syntactically	ADV
bracis-19040	271	50	disjoint	disjoint	ADJ
bracis-19040	271	51	,	,	PUNCT
bracis-19040	271	52	and	and	CCONJ
bracis-19040	272	1	\	\	PROPN
bracis-19040	272	2	(	(	PUNCT
bracis-19040	272	3	af	af	PROPN
bracis-19040	272	4	=	=	SYM
bracis-19040	272	5	(	(	PUNCT
bracis-19040	272	6	\mathcal	\mathcal	PROPN
bracis-19040	272	7	a	a	X
bracis-19040	272	8	,	,	PUNCT
bracis-19040	272	9	\mathcal	\mathcal	PROPN
bracis-19040	272	10	d	d	NOUN
bracis-19040	272	11	,	,	PUNCT
bracis-19040	272	12	\mathcal	\mathcal	PROPN
bracis-19040	272	13	d')\	d')\	NOUN
bracis-19040	272	14	)	)	PUNCT
bracis-19040	272	15	and	and	CCONJ
bracis-19040	272	16	\	\	PROPN
bracis-19040	272	17	(	(	PUNCT
bracis-19040	272	18	af	af	X
bracis-19040	272	19	_	_	NOUN
bracis-19040	272	20	1	1	X
bracis-19040	272	21	=	=	SYM
bracis-19040	272	22	(	(	PUNCT
bracis-19040	272	23	\mathcal	\mathcal	PROPN
bracis-19040	272	24	a_1	a_1	NOUN
bracis-19040	272	25	,	,	PUNCT
bracis-19040	272	26	\mathcal	\mathcal	PROPN
bracis-19040	272	27	d_1	d_1	PROPN
bracis-19040	272	28	,	,	PUNCT
bracis-19040	272	29	\mathcal	\mathcal	PROPN
bracis-19040	272	30	d_1')\	d_1')\	NOUN
bracis-19040	272	31	)	)	PUNCT
bracis-19040	272	32	be	be	VERB
bracis-19040	272	33	respectively	respectively	ADV
bracis-19040	272	34	the	the	DET
bracis-19040	272	35	inconsistency	inconsistency	NOUN
bracis-19040	272	36	cleaned	clean	VERB
bracis-19040	272	37	\	\	PROPN
bracis-19040	272	38	(	(	PUNCT
bracis-19040	272	39	af	af	X
bracis-19040	272	40	_	_	NOUN
bracis-19040	272	41	2\)s	2\)s	NUM
bracis-19040	272	42	resulting	result	VERB
bracis-19040	272	43	from	from	ADP
bracis-19040	272	44	\	\	PROPN
bracis-19040	272	45	(	(	PUNCT
bracis-19040	272	46	at	at	ADP
bracis-19040	272	47	\	\	NOUN
bracis-19040	272	48	)	)	PUNCT
bracis-19040	272	49	and	and	CCONJ
bracis-19040	272	50	\	\	PROPN
bracis-19040	272	51	(	(	PUNCT
bracis-19040	272	52	at	at	ADP
bracis-19040	272	53	_	_	NOUN
bracis-19040	272	54	1\	1\	NUM
bracis-19040	272	55	)	)	PUNCT
bracis-19040	272	56	.	.	PUNCT
bracis-19040	273	1	for	for	ADP
bracis-19040	273	2	each	each	DET
bracis-19040	273	3	argument	argument	NOUN
bracis-19040	273	4	\(c	\(c	PROPN
bracis-19040	273	5	\in	\in	PROPN
bracis-19040	273	6	\mathcal	\mathcal	PROPN
bracis-19040	273	7	a\	a\	NOUN
bracis-19040	273	8	)	)	PUNCT
bracis-19040	273	9	such	such	ADJ
bracis-19040	273	10	that	that	SCONJ
bracis-19040	273	11	\(\mathtt	\(\mathtt	VERB
bracis-19040	273	12	{	{	PUNCT
bracis-19040	273	13	conc}(c	conc}(c	X
bracis-19040	273	14	)	)	PUNCT
bracis-19040	274	1	\subseteq	\subseteq	PROPN
bracis-19040	274	2	\texttt	\texttt	PROPN
bracis-19040	274	3	{	{	PUNCT
bracis-19040	274	4	atoms	atom	NOUN
bracis-19040	274	5	}	}	PUNCT
bracis-19040	274	6	(	(	PUNCT
bracis-19040	274	7	at	at	ADP
bracis-19040	274	8	_	_	NOUN
bracis-19040	274	9	1)\	1)\	NUM
bracis-19040	274	10	)	)	PUNCT
bracis-19040	274	11	,	,	PUNCT
bracis-19040	274	12	\(\exists	\(\exist	NOUN
bracis-19040	274	13	c	c	X
bracis-19040	274	14	'	'	PUNCT
bracis-19040	274	15	\in	\in	PROPN
bracis-19040	274	16	\mathcal	\mathcal	PROPN
bracis-19040	274	17	a_1\	a_1\	PROPN
bracis-19040	274	18	)	)	PUNCT
bracis-19040	274	19	with	with	ADP
bracis-19040	274	20	\(\mathtt	\(\mathtt	NOUN
bracis-19040	274	21	{	{	PUNCT
bracis-19040	274	22	conc}(c	conc}(c	NOUN
bracis-19040	274	23	'	'	PUNCT
bracis-19040	274	24	)	)	PUNCT
bracis-19040	274	25	=	=	SYM
bracis-19040	274	26	\mathtt	\mathtt	X
bracis-19040	274	27	{	{	PUNCT
bracis-19040	274	28	conc}(c)\	conc}(c)\	NOUN
bracis-19040	274	29	)	)	PUNCT
bracis-19040	274	30	,	,	PUNCT
bracis-19040	274	31	\(c'^+	\(c'^+	NOUN
bracis-19040	274	32	\subseteq	\subseteq	PROPN
bracis-19040	274	33	c^+\	c^+\	PROPN
bracis-19040	274	34	)	)	PUNCT
bracis-19040	274	35	and	and	CCONJ
bracis-19040	274	36	\(c'^\subseteq	\(c'^\subseteq	PROPN
bracis-19040	274	37	c^-\	c^-\	PROPN
bracis-19040	274	38	)	)	PUNCT
bracis-19040	274	39	.	.	PUNCT
bracis-19040	275	1	proof	proof	NOUN
bracis-19040	275	2	let	let	VERB
bracis-19040	275	3	\(\mathcal	\(\mathcal	ADJ
bracis-19040	275	4	k_1	k_1	PROPN
bracis-19040	275	5	=	=	SYM
bracis-19040	275	6	\mathcal	\mathcal	PROPN
bracis-19040	275	7	k_{n_1	k_{n_1	PRON
bracis-19040	275	8	}	}	PUNCT
bracis-19040	275	9	\cup	\cup	VERB
bracis-19040	275	10	\mathcal	\mathcal	PROPN
bracis-19040	275	11	k_{p_1}\	k_{p_1}\	PROPN
bracis-19040	275	12	)	)	PUNCT
bracis-19040	275	13	and	and	CCONJ
bracis-19040	275	14	\(\mathcal	\(\mathcal	ADJ
bracis-19040	275	15	k_2	k_2	NOUN
bracis-19040	275	16	=	=	PUNCT
bracis-19040	275	17	\mathcal	\mathcal	PROPN
bracis-19040	275	18	k_{n_2	k_{n_2	PUNCT
bracis-19040	275	19	}	}	PUNCT
bracis-19040	275	20	\cup	\cup	VERB
bracis-19040	275	21	\mathcal	\mathcal	PROPN
bracis-19040	275	22	k_{p_2}\	k_{p_2}\	PROPN
bracis-19040	275	23	)	)	PUNCT
bracis-19040	275	24	.	.	PUNCT
bracis-19040	276	1	we	we	PRON
bracis-19040	276	2	will	will	AUX
bracis-19040	276	3	prove	prove	VERB
bracis-19040	276	4	by	by	ADP
bracis-19040	276	5	induction	induction	NOUN
bracis-19040	276	6	on	on	ADP
bracis-19040	276	7	\(\texttt	\(\texttt	NOUN
bracis-19040	276	8	{	{	PUNCT
bracis-19040	276	9	depth}(c)\	depth}(c)\	NOUN
bracis-19040	276	10	)	)	PUNCT
bracis-19040	276	11	that	that	SCONJ
bracis-19040	276	12	\(\forall	\(\forall	ADV
bracis-19040	276	13	c	c	PROPN
bracis-19040	276	14	\in	\in	PROPN
bracis-19040	276	15	\mathcal	\mathcal	PROPN
bracis-19040	276	16	a\	a\	PROPN
bracis-19040	276	17	)	)	PUNCT
bracis-19040	276	18	,	,	PUNCT
bracis-19040	276	19	where	where	SCONJ
bracis-19040	276	20	\(\texttt	\(\texttt	NOUN
bracis-19040	276	21	{	{	PUNCT
bracis-19040	276	22	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	276	23	{	{	PUNCT
bracis-19040	276	24	conc}(c	conc}(c	PROPN
bracis-19040	276	25	)	)	PUNCT
bracis-19040	276	26	)	)	PUNCT
bracis-19040	276	27	\subseteq	\subseteq	PROPN
bracis-19040	276	28	\texttt	\texttt	PROPN
bracis-19040	276	29	{	{	PUNCT
bracis-19040	276	30	atoms	atom	NOUN
bracis-19040	276	31	}	}	PUNCT
bracis-19040	276	32	(	(	PUNCT
bracis-19040	276	33	at	at	ADP
bracis-19040	276	34	_	_	NOUN
bracis-19040	276	35	1)\	1)\	NUM
bracis-19040	276	36	)	)	PUNCT
bracis-19040	276	37	,	,	PUNCT
bracis-19040	276	38	\(\exists	\(\exist	NOUN
bracis-19040	276	39	c	c	X
bracis-19040	276	40	'	'	PUNCT
bracis-19040	276	41	\in	\in	PROPN
bracis-19040	276	42	\mathcal	\mathcal	PROPN
bracis-19040	276	43	a_1\	a_1\	NOUN
bracis-19040	276	44	)	)	PUNCT
bracis-19040	276	45	such	such	ADJ
bracis-19040	276	46	that	that	SCONJ
bracis-19040	276	47	\(\mathtt	\(\mathtt	VERB
bracis-19040	276	48	{	{	PUNCT
bracis-19040	276	49	conc}(c	conc}(c	NOUN
bracis-19040	276	50	'	'	PUNCT
bracis-19040	276	51	)	)	PUNCT
bracis-19040	277	1	=	=	SYM
bracis-19040	277	2	\mathtt	\mathtt	X
bracis-19040	277	3	{	{	PUNCT
bracis-19040	277	4	conc}(c)\	conc}(c)\	NOUN
bracis-19040	277	5	)	)	PUNCT
bracis-19040	277	6	and	and	CCONJ
bracis-19040	277	7	(	(	PUNCT
bracis-19040	277	8	1	1	X
bracis-19040	277	9	)	)	PUNCT
bracis-19040	277	10	\(\mathtt	\(\mathtt	NOUN
bracis-19040	277	11	{	{	PUNCT
bracis-19040	277	12	concs}(\mathtt	concs}(\mathtt	NOUN
bracis-19040	277	13	{	{	PUNCT
bracis-19040	277	14	sub}(c	sub}(c	NOUN
bracis-19040	277	15	'	'	PUNCT
bracis-19040	277	16	)	)	PUNCT
bracis-19040	277	17	)	)	PUNCT
bracis-19040	278	1	\subseteq	\subseteq	PROPN
bracis-19040	278	2	\mathtt	\mathtt	PROPN
bracis-19040	278	3	{	{	PUNCT
bracis-19040	278	4	concs}(\mathtt	concs}(\mathtt	NOUN
bracis-19040	278	5	{	{	PUNCT
bracis-19040	278	6	sub}(c))\	sub}(c))\	NOUN
bracis-19040	278	7	)	)	PUNCT
bracis-19040	278	8	and	and	CCONJ
bracis-19040	278	9	(	(	PUNCT
bracis-19040	278	10	2	2	X
bracis-19040	278	11	)	)	PUNCT
bracis-19040	278	12	\(\mathtt	\(\mathtt	NOUN
bracis-19040	278	13	{	{	PUNCT
bracis-19040	278	14	defr}(c	defr}(c	NOUN
bracis-19040	278	15	'	'	PUNCT
bracis-19040	278	16	)	)	PUNCT
bracis-19040	278	17	\subseteq	\subseteq	PROPN
bracis-19040	278	18	\mathtt	\mathtt	INTJ
bracis-19040	278	19	{	{	PUNCT
bracis-19040	278	20	defr}(c)\	defr}(c)\	NOUN
bracis-19040	278	21	)	)	PUNCT
bracis-19040	278	22	.	.	PUNCT
bracis-19040	279	1	note	note	VERB
bracis-19040	279	2	\(c'^+	\(c'^+	NUM
bracis-19040	279	3	=	=	SYM
bracis-19040	279	4	c^+\	c^+\	X
bracis-19040	279	5	)	)	PUNCT
bracis-19040	279	6	follows	follow	VERB
bracis-19040	279	7	directly	directly	ADV
bracis-19040	279	8	from	from	ADP
bracis-19040	279	9	\(\mathtt	\(\mathtt	NOUN
bracis-19040	279	10	{	{	PUNCT
bracis-19040	279	11	conc}(c	conc}(c	NOUN
bracis-19040	279	12	'	'	PUNCT
bracis-19040	279	13	)	)	PUNCT
bracis-19040	280	1	=	=	SYM
bracis-19040	280	2	\mathtt	\mathtt	X
bracis-19040	280	3	{	{	PUNCT
bracis-19040	280	4	conc}(c)\	conc}(c)\	NOUN
bracis-19040	280	5	)	)	PUNCT
bracis-19040	280	6	;	;	PUNCT
bracis-19040	280	7	condition	condition	NOUN
bracis-19040	280	8	(	(	PUNCT
bracis-19040	280	9	1	1	X
bracis-19040	280	10	)	)	PUNCT
bracis-19040	280	11	guarantees	guarantee	VERB
bracis-19040	280	12	\(c'\	\(c'\	NOUN
bracis-19040	280	13	)	)	PUNCT
bracis-19040	280	14	is	be	AUX
bracis-19040	280	15	consistent	consistent	ADJ
bracis-19040	280	16	as	as	SCONJ
bracis-19040	280	17	c	c	PROPN
bracis-19040	280	18	is	be	AUX
bracis-19040	280	19	consistent	consistent	ADJ
bracis-19040	280	20	;	;	PUNCT
bracis-19040	280	21	condition	condition	NOUN
bracis-19040	280	22	(	(	PUNCT
bracis-19040	280	23	2	2	X
bracis-19040	280	24	)	)	PUNCT
bracis-19040	280	25	suffices	suffice	NOUN
bracis-19040	280	26	to	to	PART
bracis-19040	280	27	show	show	VERB
bracis-19040	280	28	\(c'^\subseteq	\(c'^\subseteq	PROPN
bracis-19040	280	29	c^-\	c^-\	NOUN
bracis-19040	280	30	)	)	PUNCT
bracis-19040	280	31	as	as	ADP
bracis-19040	280	32	\	\	PROPN
bracis-19040	280	33	(	(	PUNCT
bracis-19040	280	34	as	as	ADP
bracis-19040	280	35	_	_	PRON
bracis-19040	280	36	1\	1\	NUM
bracis-19040	280	37	)	)	PUNCT
bracis-19040	280	38	and	and	CCONJ
bracis-19040	280	39	\	\	PROPN
bracis-19040	280	40	(	(	PUNCT
bracis-19040	280	41	as	as	ADP
bracis-19040	280	42	_	_	NOUN
bracis-19040	280	43	2\	2\	NUM
bracis-19040	280	44	)	)	PUNCT
bracis-19040	280	45	share	share	VERB
bracis-19040	280	46	the	the	DET
bracis-19040	280	47	same	same	ADJ
bracis-19040	280	48	set	set	ADJ
bracis-19040	280	49	\(\mathcal	\(\mathcal	ADJ
bracis-19040	280	50	r_s\	r_s\	NOUN
bracis-19040	280	51	)	)	PUNCT
bracis-19040	280	52	of	of	ADP
bracis-19040	280	53	strict	strict	ADJ
bracis-19040	280	54	rules	rule	NOUN
bracis-19040	280	55	:	:	PUNCT
bracis-19040	280	56	suppose	suppose	VERB
bracis-19040	280	57	\(\texttt	\(\texttt	X
bracis-19040	280	58	{	{	PUNCT
bracis-19040	280	59	depth}(c	depth}(c	NOUN
bracis-19040	280	60	)	)	PUNCT
bracis-19040	280	61	=	=	SYM
bracis-19040	280	62	1\	1\	NUM
bracis-19040	280	63	)	)	PUNCT
bracis-19040	280	64	.	.	PUNCT
bracis-19040	281	1	there	there	PRON
bracis-19040	281	2	are	be	VERB
bracis-19040	281	3	two	two	NUM
bracis-19040	281	4	possibilities	possibility	NOUN
bracis-19040	281	5	:	:	PUNCT
bracis-19040	281	6	\(c	\(c	ADJ
bracis-19040	281	7	\in	\in	PROPN
bracis-19040	281	8	\mathcal	\mathcal	PROPN
bracis-19040	281	9	k_{n_1}\	k_{n_1}\	PROPN
bracis-19040	281	10	)	)	PUNCT
bracis-19040	281	11	or	or	CCONJ
bracis-19040	281	12	\(c	\(c	NUM
bracis-19040	281	13	\in	\in	PROPN
bracis-19040	281	14	\mathcal	\mathcal	PROPN
bracis-19040	281	15	k_{p_1}\	k_{p_1}\	PROPN
bracis-19040	281	16	)	)	PUNCT
bracis-19040	281	17	.	.	PUNCT
bracis-19040	282	1	thus	thus	ADV
bracis-19040	282	2	,	,	PUNCT
bracis-19040	282	3	for	for	ADP
bracis-19040	282	4	\(c	\(c	NOUN
bracis-19040	282	5	'	'	PUNCT
bracis-19040	282	6	=	=	SYM
bracis-19040	282	7	c\	c\	NOUN
bracis-19040	282	8	)	)	PUNCT
bracis-19040	282	9	,	,	PUNCT
bracis-19040	282	10	\(c'^=	\(c'^=	PROPN
bracis-19040	282	11	c^-\	c^-\	NOUN
bracis-19040	282	12	)	)	PUNCT
bracis-19040	282	13	and	and	CCONJ
bracis-19040	282	14	\(\mathtt	\(\mathtt	NOUN
bracis-19040	282	15	{	{	PUNCT
bracis-19040	282	16	conc}(c	conc}(c	NOUN
bracis-19040	282	17	'	'	PUNCT
bracis-19040	282	18	)	)	PUNCT
bracis-19040	282	19	=	=	SYM
bracis-19040	283	1	\mathtt	\mathtt	X
bracis-19040	283	2	{	{	PUNCT
bracis-19040	283	3	conc}(c)\	conc}(c)\	NOUN
bracis-19040	283	4	)	)	PUNCT
bracis-19040	283	5	.	.	PUNCT
bracis-19040	284	1	now	now	ADV
bracis-19040	284	2	assume	assume	VERB
bracis-19040	284	3	conditions	condition	NOUN
bracis-19040	284	4	(	(	PUNCT
bracis-19040	284	5	1	1	NUM
bracis-19040	284	6	)	)	PUNCT
bracis-19040	284	7	and	and	CCONJ
bracis-19040	284	8	(	(	PUNCT
bracis-19040	284	9	2	2	X
bracis-19040	284	10	)	)	PUNCT
bracis-19040	284	11	hold	hold	VERB
bracis-19040	284	12	for	for	ADP
bracis-19040	284	13	any	any	DET
bracis-19040	284	14	argument	argument	NOUN
bracis-19040	284	15	c	c	NOUN
bracis-19040	284	16	with	with	ADP
bracis-19040	284	17	\(\texttt	\(\texttt	NOUN
bracis-19040	284	18	{	{	PUNCT
bracis-19040	284	19	depth}(c	depth}(c	NOUN
bracis-19040	284	20	)	)	PUNCT
bracis-19040	284	21	\le	\le	PROPN
bracis-19040	284	22	k\	k\	PROPN
bracis-19040	284	23	)	)	PUNCT
bracis-19040	284	24	.	.	PUNCT
bracis-19040	285	1	we	we	PRON
bracis-19040	285	2	will	will	AUX
bracis-19040	285	3	show	show	VERB
bracis-19040	285	4	for	for	ADP
bracis-19040	285	5	any	any	DET
bracis-19040	285	6	argument	argument	NOUN
bracis-19040	285	7	c	c	NOUN
bracis-19040	285	8	with	with	ADP
bracis-19040	285	9	\(\texttt	\(\texttt	NOUN
bracis-19040	285	10	{	{	PUNCT
bracis-19040	285	11	depth}(c	depth}(c	NOUN
bracis-19040	285	12	)	)	PUNCT
bracis-19040	285	13	=	=	SYM
bracis-19040	286	1	k	k	PROPN
bracis-19040	287	1	+	+	PROPN
bracis-19040	287	2	1\	1\	NUM
bracis-19040	287	3	)	)	PUNCT
bracis-19040	287	4	they	they	PRON
bracis-19040	287	5	also	also	ADV
bracis-19040	287	6	hold	hold	VERB
bracis-19040	287	7	.	.	PUNCT
bracis-19040	288	1	there	there	PRON
bracis-19040	288	2	are	be	VERB
bracis-19040	288	3	two	two	NUM
bracis-19040	288	4	possibilities	possibility	NOUN
bracis-19040	288	5	:	:	PUNCT
bracis-19040	288	6	\(\mathtt	\(\mathtt	NOUN
bracis-19040	288	7	{	{	PUNCT
bracis-19040	288	8	toprule}(c	toprule}(c	NUM
bracis-19040	288	9	)	)	PUNCT
bracis-19040	288	10	\in	\in	PROPN
bracis-19040	288	11	\mathcal	\mathcal	PROPN
bracis-19040	288	12	r_d=	r_d=	NOUN
bracis-19040	288	13	\mathcal	\mathcal	VERB
bracis-19040	288	14	r_{d_1	r_{d_1	NOUN
bracis-19040	288	15	}	}	PUNCT
bracis-19040	288	16	\cup	\cup	VERB
bracis-19040	288	17	\mathcal	\mathcal	ADJ
bracis-19040	288	18	r_{d_2}\	r_{d_2}\	NOUN
bracis-19040	288	19	)	)	PUNCT
bracis-19040	288	20	.	.	PUNCT
bracis-19040	289	1	note	note	VERB
bracis-19040	289	2	c	c	PROPN
bracis-19040	289	3	is	be	AUX
bracis-19040	289	4	of	of	ADP
bracis-19040	289	5	the	the	DET
bracis-19040	289	6	form	form	NOUN
bracis-19040	289	7	\(c_1	\(c_1	PROPN
bracis-19040	289	8	,	,	PUNCT
bracis-19040	289	9	\ldots	\ldots	INTJ
bracis-19040	289	10	,	,	PUNCT
bracis-19040	289	11	c_n	c_n	PROPN
bracis-19040	289	12	\rightarrow	\rightarrow	PROPN
bracis-19040	289	13	\mathtt	\mathtt	PROPN
bracis-19040	289	14	{	{	PUNCT
bracis-19040	289	15	conc}(c)\	conc}(c)\	NOUN
bracis-19040	289	16	)	)	PUNCT
bracis-19040	289	17	.	.	PUNCT
bracis-19040	290	1	as	as	ADP
bracis-19040	290	2	\	\	PROPN
bracis-19040	290	3	(	(	PUNCT
bracis-19040	290	4	at	at	ADP
bracis-19040	290	5	_	_	NOUN
bracis-19040	290	6	1\	1\	NUM
bracis-19040	290	7	)	)	PUNCT
bracis-19040	290	8	and	and	CCONJ
bracis-19040	290	9	\	\	PROPN
bracis-19040	290	10	(	(	PUNCT
bracis-19040	290	11	at	at	ADP
bracis-19040	290	12	_	_	NOUN
bracis-19040	290	13	2\	2\	NUM
bracis-19040	290	14	)	)	PUNCT
bracis-19040	290	15	are	be	AUX
bracis-19040	290	16	syntactically	syntactically	ADV
bracis-19040	290	17	disjoint	disjoint	ADJ
bracis-19040	290	18	and	and	CCONJ
bracis-19040	290	19	\(\texttt	\(\texttt	NOUN
bracis-19040	290	20	{	{	PUNCT
bracis-19040	290	21	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	290	22	{	{	PUNCT
bracis-19040	290	23	conc}(c	conc}(c	PROPN
bracis-19040	290	24	)	)	PUNCT
bracis-19040	290	25	)	)	PUNCT
bracis-19040	291	1	\subseteq	\subseteq	PROPN
bracis-19040	291	2	\texttt	\texttt	PROPN
bracis-19040	291	3	{	{	PUNCT
bracis-19040	291	4	atoms	atom	NOUN
bracis-19040	291	5	}	}	PUNCT
bracis-19040	291	6	(	(	PUNCT
bracis-19040	291	7	at	at	ADP
bracis-19040	291	8	_	_	NOUN
bracis-19040	291	9	1)\	1)\	NUM
bracis-19040	291	10	)	)	PUNCT
bracis-19040	291	11	,	,	PUNCT
bracis-19040	291	12	\(\mathtt	\(\mathtt	VERB
bracis-19040	291	13	{	{	PUNCT
bracis-19040	291	14	toprule}(c	toprule}(c	NUM
bracis-19040	291	15	)	)	PUNCT
bracis-19040	291	16	\in	\in	PROPN
bracis-19040	291	17	\mathcal	\mathcal	NOUN
bracis-19040	291	18	r_{d_1}\	r_{d_1}\	PROPN
bracis-19040	291	19	)	)	PUNCT
bracis-19040	291	20	.	.	PUNCT
bracis-19040	292	1	it	it	PRON
bracis-19040	292	2	follows	follow	VERB
bracis-19040	292	3	that	that	SCONJ
bracis-19040	292	4	for	for	ADP
bracis-19040	292	5	each	each	DET
bracis-19040	292	6	\(i	\(i	NOUN
bracis-19040	292	7	\in	\in	PROPN
bracis-19040	292	8	\left\	\left\	PROPN
bracis-19040	292	9	{	{	PUNCT
bracis-19040	292	10	1	1	NUM
bracis-19040	292	11	,	,	PUNCT
bracis-19040	292	12	\ldots	\ldots	INTJ
bracis-19040	292	13	,	,	PUNCT
bracis-19040	292	14	n\right\	n\right\	ADJ
bracis-19040	292	15	}	}	PUNCT
bracis-19040	292	16	\	\	NOUN
bracis-19040	292	17	)	)	PUNCT
bracis-19040	292	18	,	,	PUNCT
bracis-19040	292	19	\(\texttt	\(\texttt	X
bracis-19040	292	20	{	{	PUNCT
bracis-19040	292	21	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	292	22	{	{	PUNCT
bracis-19040	292	23	conc}(c_i	conc}(c_i	NOUN
bracis-19040	292	24	)	)	PUNCT
bracis-19040	292	25	)	)	PUNCT
bracis-19040	293	1	\subseteq	\subseteq	PROPN
bracis-19040	293	2	\texttt	\texttt	PROPN
bracis-19040	293	3	{	{	PUNCT
bracis-19040	293	4	atoms}(at_1)\	atoms}(at_1)\	NUM
bracis-19040	293	5	)	)	PUNCT
bracis-19040	293	6	.	.	PUNCT
bracis-19040	294	1	as	as	ADP
bracis-19040	294	2	\(\texttt	\(\texttt	NOUN
bracis-19040	294	3	{	{	PUNCT
bracis-19040	294	4	depth}(c_i	depth}(c_i	NOUN
bracis-19040	294	5	)	)	PUNCT
bracis-19040	294	6	\le	\le	PROPN
bracis-19040	294	7	k\	k\	NOUN
bracis-19040	294	8	)	)	PUNCT
bracis-19040	294	9	,	,	PUNCT
bracis-19040	294	10	by	by	ADP
bracis-19040	294	11	induction	induction	NOUN
bracis-19040	294	12	hypothesis	hypothesis	NOUN
bracis-19040	294	13	,	,	PUNCT
bracis-19040	294	14	there	there	PRON
bracis-19040	294	15	exists	exist	VERB
bracis-19040	294	16	\(c'_i	\(c'_i	PROPN
bracis-19040	294	17	\in	\in	PROPN
bracis-19040	294	18	\mathcal	\mathcal	PROPN
bracis-19040	294	19	a_1\	a_1\	NOUN
bracis-19040	294	20	)	)	PUNCT
bracis-19040	294	21	such	such	ADJ
bracis-19040	294	22	that	that	SCONJ
bracis-19040	294	23	\(\mathtt	\(\mathtt	VERB
bracis-19040	294	24	{	{	PUNCT
bracis-19040	294	25	conc}(c'_i	conc}(c'_i	NUM
bracis-19040	294	26	)	)	PUNCT
bracis-19040	294	27	=	=	PUNCT
bracis-19040	295	1	\mathtt	\mathtt	X
bracis-19040	295	2	{	{	PUNCT
bracis-19040	295	3	conc}(c_i)\	conc}(c_i)\	PROPN
bracis-19040	295	4	)	)	PUNCT
bracis-19040	295	5	,	,	PUNCT
bracis-19040	295	6	\(\mathtt	\(\mathtt	VERB
bracis-19040	295	7	{	{	PUNCT
bracis-19040	295	8	defr}(c'_i	defr}(c'_i	NUM
bracis-19040	295	9	)	)	PUNCT
bracis-19040	295	10	\subseteq	\subseteq	PROPN
bracis-19040	295	11	\mathtt	\mathtt	PROPN
bracis-19040	295	12	{	{	PUNCT
bracis-19040	295	13	defr}(c'_i)\	defr}(c'_i)\	PROPN
bracis-19040	295	14	)	)	PUNCT
bracis-19040	295	15	,	,	PUNCT
bracis-19040	295	16	and	and	CCONJ
bracis-19040	295	17	\(\mathtt	\(\mathtt	NOUN
bracis-19040	295	18	{	{	PUNCT
bracis-19040	295	19	concs}(\mathtt	concs}(\mathtt	NOUN
bracis-19040	295	20	{	{	PUNCT
bracis-19040	295	21	sub}(c'_i	sub}(c'_i	NOUN
bracis-19040	295	22	)	)	PUNCT
bracis-19040	295	23	)	)	PUNCT
bracis-19040	296	1	\subseteq	\subseteq	PROPN
bracis-19040	296	2	\mathtt	\mathtt	PROPN
bracis-19040	296	3	{	{	PUNCT
bracis-19040	296	4	concs}(\mathtt	concs}(\mathtt	NOUN
bracis-19040	296	5	{	{	PUNCT
bracis-19040	296	6	sub}(c_i))\	sub}(c_i))\	PROPN
bracis-19040	296	7	)	)	PUNCT
bracis-19040	296	8	.	.	PUNCT
bracis-19040	297	1	applying	apply	VERB
bracis-19040	297	2	\(\mathtt	\(\mathtt	NOUN
bracis-19040	297	3	{	{	PUNCT
bracis-19040	297	4	toprule}(c)\	toprule}(c)\	NOUN
bracis-19040	297	5	)	)	PUNCT
bracis-19040	297	6	we	we	PRON
bracis-19040	297	7	construct	construct	VERB
bracis-19040	297	8	\(c	\(c	NOUN
bracis-19040	297	9	'	'	PUNCT
bracis-19040	297	10	=	=	SYM
bracis-19040	297	11	c'_1	c'_1	PROPN
bracis-19040	297	12	,	,	PUNCT
bracis-19040	297	13	\ldots	\ldots	PROPN
bracis-19040	297	14	,	,	PUNCT
bracis-19040	297	15	c'_n	c'_n	ADV
bracis-19040	297	16	\rightarrow	\rightarrow	PROPN
bracis-19040	297	17	\mathtt	\mathtt	PROPN
bracis-19040	297	18	{	{	PUNCT
bracis-19040	297	19	conc}(c)\	conc}(c)\	NOUN
bracis-19040	297	20	)	)	PUNCT
bracis-19040	297	21	from	from	ADP
bracis-19040	297	22	\(at_1\	\(at_1\	NOUN
bracis-19040	297	23	)	)	PUNCT
bracis-19040	297	24	.	.	PUNCT
bracis-19040	298	1	now	now	ADV
bracis-19040	298	2	we	we	PRON
bracis-19040	298	3	show	show	VERB
bracis-19040	298	4	that	that	SCONJ
bracis-19040	298	5	\(c'\	\(c'\	NOUN
bracis-19040	298	6	)	)	PUNCT
bracis-19040	298	7	satisfies	satisfy	VERB
bracis-19040	298	8	the	the	DET
bracis-19040	298	9	requested	request	VERB
bracis-19040	298	10	properties	property	NOUN
bracis-19040	298	11	.	.	PUNCT
bracis-19040	299	1	\(c	\(c	ADJ
bracis-19040	299	2	'	'	PUNCT
bracis-19040	299	3	\in	\in	PROPN
bracis-19040	299	4	\mathcal	\mathcal	PROPN
bracis-19040	299	5	a_1\	a_1\	PROPN
bracis-19040	299	6	)	)	PUNCT
bracis-19040	299	7	since	since	SCONJ
bracis-19040	299	8	\(\texttt	\(\texttt	NOUN
bracis-19040	299	9	{	{	PUNCT
bracis-19040	299	10	atoms}(c	atoms}(c	NOUN
bracis-19040	299	11	'	'	PUNCT
bracis-19040	299	12	)	)	PUNCT
bracis-19040	300	1	=	=	SYM
bracis-19040	300	2	\texttt	\texttt	PROPN
bracis-19040	300	3	{	{	PUNCT
bracis-19040	300	4	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	300	5	{	{	PUNCT
bracis-19040	300	6	toprule}(c	toprule}(c	NUM
bracis-19040	300	7	)	)	PUNCT
bracis-19040	300	8	)	)	PUNCT
bracis-19040	300	9	\cup	\cup	VERB
bracis-19040	300	10	\bigcup	\bigcup	PROPN
bracis-19040	300	11	^n_{i=1	^n_{i=1	PUNCT
bracis-19040	300	12	}	}	PUNCT
bracis-19040	300	13	\texttt	\texttt	PROPN
bracis-19040	300	14	{	{	PUNCT
bracis-19040	300	15	atoms}(c'_i	atoms}(c'_i	NOUN
bracis-19040	300	16	)	)	PUNCT
bracis-19040	300	17	\subseteq	\subseteq	PROPN
bracis-19040	300	18	\texttt	\texttt	PROPN
bracis-19040	300	19	{	{	PUNCT
bracis-19040	300	20	atoms	atom	NOUN
bracis-19040	300	21	}	}	PUNCT
bracis-19040	300	22	(	(	PUNCT
bracis-19040	300	23	at	at	ADP
bracis-19040	300	24	_	_	NOUN
bracis-19040	300	25	1)\	1)\	NUM
bracis-19040	300	26	)	)	PUNCT
bracis-19040	300	27	.	.	PUNCT
bracis-19040	301	1	\(\mathtt	\(\mathtt	NOUN
bracis-19040	301	2	{	{	PUNCT
bracis-19040	301	3	conc}(c	conc}(c	NOUN
bracis-19040	301	4	'	'	PUNCT
bracis-19040	301	5	)	)	PUNCT
bracis-19040	302	1	=	=	SYM
bracis-19040	302	2	\mathtt	\mathtt	X
bracis-19040	302	3	{	{	PUNCT
bracis-19040	302	4	conc}(c)\	conc}(c)\	NOUN
bracis-19040	302	5	)	)	PUNCT
bracis-19040	302	6	since	since	SCONJ
bracis-19040	302	7	c	c	PROPN
bracis-19040	302	8	and	and	CCONJ
bracis-19040	302	9	\(c'\	\(c'\	NOUN
bracis-19040	302	10	)	)	PUNCT
bracis-19040	302	11	share	share	VERB
bracis-19040	302	12	the	the	DET
bracis-19040	302	13	same	same	ADJ
bracis-19040	302	14	top	top	ADJ
bracis-19040	302	15	rule	rule	NOUN
bracis-19040	302	16	.	.	PUNCT
bracis-19040	303	1	\(\mathtt	\(\mathtt	NOUN
bracis-19040	303	2	{	{	PUNCT
bracis-19040	303	3	defr}(c	defr}(c	NOUN
bracis-19040	303	4	'	'	PUNCT
bracis-19040	303	5	)	)	PUNCT
bracis-19040	304	1	=	=	SYM
bracis-19040	304	2	\left\	\left\	PROPN
bracis-19040	304	3	{	{	PUNCT
bracis-19040	304	4	\left\	\left\	PROPN
bracis-19040	304	5	{	{	PUNCT
bracis-19040	304	6	\mathtt	\mathtt	PROPN
bracis-19040	304	7	{	{	PUNCT
bracis-19040	304	8	defr}(c)\right\	defr}(c)\right\	PROPN
bracis-19040	304	9	}	}	PUNCT
bracis-19040	304	10	\cup	\cup	X
bracis-19040	304	11	\bigcup	\bigcup	PROPN
bracis-19040	304	12	^n_{i=1	^n_{i=1	PUNCT
bracis-19040	304	13	}	}	PUNCT
bracis-19040	304	14	\mathtt	\mathtt	NOUN
bracis-19040	304	15	{	{	PUNCT
bracis-19040	304	16	defr}(c'_i)\right\	defr}(c'_i)\right\	ADJ
bracis-19040	304	17	}	}	PUNCT
bracis-19040	304	18	\subseteq	\subseteq	PROPN
bracis-19040	304	19	\	\	PROPN
bracis-19040	304	20	)	)	PUNCT
bracis-19040	305	1	\(\left\	\(\left\	PROPN
bracis-19040	305	2	{	{	PUNCT
bracis-19040	305	3	\left\	\left\	PROPN
bracis-19040	305	4	{	{	PUNCT
bracis-19040	305	5	\mathtt	\mathtt	X
bracis-19040	305	6	{	{	PUNCT
bracis-19040	305	7	toprule}(c)\right\	toprule}(c)\right\	NOUN
bracis-19040	305	8	}	}	PUNCT
bracis-19040	305	9	\cup	\cup	VERB
bracis-19040	305	10	\bigcup	\bigcup	PROPN
bracis-19040	305	11	^n_{i=1	^n_{i=1	PUNCT
bracis-19040	305	12	}	}	PUNCT
bracis-19040	305	13	\mathtt	\mathtt	NOUN
bracis-19040	305	14	{	{	PUNCT
bracis-19040	305	15	defr}(c_i)\right\	defr}(c_i)\right\	PROPN
bracis-19040	305	16	}	}	PUNCT
bracis-19040	305	17	=	=	SYM
bracis-19040	305	18	\mathtt	\mathtt	X
bracis-19040	305	19	{	{	PUNCT
bracis-19040	305	20	defr}(c)\	defr}(c)\	NOUN
bracis-19040	305	21	)	)	PUNCT
bracis-19040	305	22	.	.	PUNCT
bracis-19040	306	1	\(\mathtt	\(\mathtt	VERB
bracis-19040	306	2	{	{	PUNCT
bracis-19040	306	3	concs}(\mathtt	concs}(\mathtt	NOUN
bracis-19040	306	4	{	{	PUNCT
bracis-19040	306	5	sub}(c	sub}(c	NOUN
bracis-19040	306	6	'	'	PUNCT
bracis-19040	306	7	)	)	PUNCT
bracis-19040	306	8	)	)	PUNCT
bracis-19040	307	1	=	=	SYM
bracis-19040	307	2	\left\	\left\	PROPN
bracis-19040	307	3	{	{	PUNCT
bracis-19040	307	4	\left\	\left\	PROPN
bracis-19040	307	5	{	{	PUNCT
bracis-19040	307	6	\mathtt	\mathtt	PROPN
bracis-19040	307	7	{	{	PUNCT
bracis-19040	307	8	conc}(c)\right\	conc}(c)\right\	NOUN
bracis-19040	307	9	}	}	PUNCT
bracis-19040	307	10	\cup	\cup	VERB
bracis-19040	307	11	\bigcup	\bigcup	PROPN
bracis-19040	307	12	^n_{i=1	^n_{i=1	PUNCT
bracis-19040	307	13	}	}	PUNCT
bracis-19040	307	14	\mathtt	\mathtt	NOUN
bracis-19040	307	15	{	{	PUNCT
bracis-19040	307	16	concs}(\mathtt	concs}(\mathtt	NOUN
bracis-19040	307	17	{	{	PUNCT
bracis-19040	307	18	sub}(c'_i))\right\	sub}(c'_i))\right\	ADJ
bracis-19040	307	19	}	}	PUNCT
bracis-19040	307	20	\subseteq	\subseteq	PROPN
bracis-19040	307	21	\	\	PROPN
bracis-19040	307	22	)	)	PUNCT
bracis-19040	308	1	\(\left\	\(\left\	PROPN
bracis-19040	308	2	{	{	PUNCT
bracis-19040	308	3	\left\	\left\	PROPN
bracis-19040	308	4	{	{	PUNCT
bracis-19040	308	5	\mathtt	\mathtt	PROPN
bracis-19040	308	6	{	{	PUNCT
bracis-19040	308	7	conc}(c)\right\	conc}(c)\right\	NOUN
bracis-19040	308	8	}	}	PUNCT
bracis-19040	308	9	\cup	\cup	VERB
bracis-19040	308	10	\bigcup	\bigcup	PROPN
bracis-19040	308	11	^n_{i=1	^n_{i=1	PUNCT
bracis-19040	308	12	}	}	PUNCT
bracis-19040	308	13	\mathtt	\mathtt	NOUN
bracis-19040	308	14	{	{	PUNCT
bracis-19040	308	15	concs}(\mathtt	concs}(\mathtt	NOUN
bracis-19040	308	16	{	{	PUNCT
bracis-19040	308	17	sub}(c_i))\right\	sub}(c_i))\right\	ADJ
bracis-19040	308	18	}	}	PUNCT
bracis-19040	308	19	=	=	SYM
bracis-19040	308	20	\mathtt	\mathtt	X
bracis-19040	308	21	{	{	PUNCT
bracis-19040	308	22	concs}(\mathtt	concs}(\mathtt	NOUN
bracis-19040	308	23	{	{	PUNCT
bracis-19040	308	24	sub}(c))\	sub}(c))\	NOUN
bracis-19040	308	25	)	)	PUNCT
bracis-19040	308	26	.	.	PUNCT
bracis-19040	309	1	\(\mathtt	\(\mathtt	VERB
bracis-19040	309	2	{	{	PUNCT
bracis-19040	309	3	toprule}(c	toprule}(c	NUM
bracis-19040	309	4	)	)	PUNCT
bracis-19040	309	5	\in	\in	PROPN
bracis-19040	309	6	\mathcal	\mathcal	ADJ
bracis-19040	309	7	r_s\	r_s\	NOUN
bracis-19040	309	8	)	)	PUNCT
bracis-19040	309	9	.	.	PUNCT
bracis-19040	310	1	note	note	VERB
bracis-19040	310	2	c	c	PROPN
bracis-19040	310	3	is	be	AUX
bracis-19040	310	4	of	of	ADP
bracis-19040	310	5	the	the	DET
bracis-19040	310	6	form	form	NOUN
bracis-19040	310	7	\(c_1	\(c_1	PROPN
bracis-19040	310	8	,	,	PUNCT
bracis-19040	310	9	\ldots	\ldots	INTJ
bracis-19040	310	10	,	,	PUNCT
bracis-19040	310	11	c_n	c_n	PROPN
bracis-19040	310	12	\rightarrow	\rightarrow	PROPN
bracis-19040	310	13	\mathtt	\mathtt	PROPN
bracis-19040	310	14	{	{	PUNCT
bracis-19040	310	15	conc}(c)\	conc}(c)\	NOUN
bracis-19040	310	16	)	)	PUNCT
bracis-19040	310	17	.	.	PUNCT
bracis-19040	311	1	as	as	SCONJ
bracis-19040	311	2	we	we	PRON
bracis-19040	311	3	have	have	AUX
bracis-19040	311	4	assumed	assume	VERB
bracis-19040	311	5	c	c	PROPN
bracis-19040	311	6	is	be	AUX
bracis-19040	311	7	flat	flat	ADJ
bracis-19040	311	8	,	,	PUNCT
bracis-19040	311	9	we	we	PRON
bracis-19040	311	10	can	can	AUX
bracis-19040	311	11	partition	partition	VERB
bracis-19040	311	12	arguments	argument	NOUN
bracis-19040	311	13	\(c_i\	\(c_i\	NOUN
bracis-19040	311	14	)	)	PUNCT
bracis-19040	311	15	into	into	ADP
bracis-19040	311	16	two	two	NUM
bracis-19040	311	17	sets	set	NOUN
bracis-19040	311	18	\(\mathfrak	\(\mathfrak	ADV
bracis-19040	311	19	c_p	c_p	PUNCT
bracis-19040	312	1	\cup	\cup	X
bracis-19040	312	2	\mathfrak	\mathfrak	NUM
bracis-19040	312	3	c_d	c_d	PUNCT
bracis-19040	312	4	=	=	SYM
bracis-19040	312	5	\left\	\left\	PROPN
bracis-19040	312	6	{	{	PUNCT
bracis-19040	312	7	1	1	NUM
bracis-19040	312	8	,	,	PUNCT
bracis-19040	312	9	\ldots	\ldots	INTJ
bracis-19040	312	10	,	,	PUNCT
bracis-19040	312	11	n\right\	n\right\	ADJ
bracis-19040	312	12	}	}	PUNCT
bracis-19040	312	13	\	\	NOUN
bracis-19040	312	14	)	)	PUNCT
bracis-19040	312	15	,	,	PUNCT
bracis-19040	312	16	in	in	ADP
bracis-19040	312	17	which	which	PRON
bracis-19040	312	18	\(i	\(i	X
bracis-19040	312	19	\in	\in	PROPN
bracis-19040	312	20	\mathfrak	\mathfrak	PRON
bracis-19040	312	21	c_p\	c_p\	PROPN
bracis-19040	312	22	)	)	PUNCT
bracis-19040	312	23	iff	iff	PROPN
bracis-19040	312	24	\(\mathtt	\(\mathtt	VERB
bracis-19040	312	25	{	{	PUNCT
bracis-19040	312	26	conc}(c_i	conc}(c_i	NOUN
bracis-19040	312	27	)	)	PUNCT
bracis-19040	312	28	\in	\in	PROPN
bracis-19040	312	29	\mathcal	\mathcal	PROPN
bracis-19040	312	30	k_1	k_1	PROPN
bracis-19040	312	31	\cup	\cup	PROPN
bracis-19040	312	32	\mathcal	\mathcal	PROPN
bracis-19040	312	33	k_2\	k_2\	PROPN
bracis-19040	312	34	)	)	PUNCT
bracis-19040	312	35	and	and	CCONJ
bracis-19040	312	36	\(\mathtt	\(\mathtt	NOUN
bracis-19040	312	37	{	{	PUNCT
bracis-19040	312	38	toprule}(c_i	toprule}(c_i	NOUN
bracis-19040	312	39	)	)	PUNCT
bracis-19040	312	40	=	=	SYM
bracis-19040	312	41	\textit{undefined}\	\textit{undefined}\	NOUN
bracis-19040	312	42	)	)	PUNCT
bracis-19040	312	43	,	,	PUNCT
bracis-19040	312	44	and	and	CCONJ
bracis-19040	312	45	\(i	\(i	PROPN
bracis-19040	312	46	\in	\in	PROPN
bracis-19040	312	47	\mathfrak	\mathfrak	PROPN
bracis-19040	312	48	c_d\	c_d\	PROPN
bracis-19040	312	49	)	)	PUNCT
bracis-19040	312	50	iff	iff	PROPN
bracis-19040	312	51	\(\mathtt	\(\mathtt	VERB
bracis-19040	312	52	{	{	PUNCT
bracis-19040	312	53	toprule}(c_i	toprule}(c_i	NOUN
bracis-19040	312	54	)	)	PUNCT
bracis-19040	312	55	\in	\in	PROPN
bracis-19040	312	56	\mathcal	\mathcal	PROPN
bracis-19040	312	57	r_{d_1	r_{d_1	NOUN
bracis-19040	312	58	}	}	PUNCT
bracis-19040	312	59	\cup	\cup	VERB
bracis-19040	312	60	\mathcal	\mathcal	ADJ
bracis-19040	312	61	r_{d_2}\	r_{d_2}\	NOUN
bracis-19040	312	62	)	)	PUNCT
bracis-19040	312	63	.	.	PUNCT
bracis-19040	313	1	since	since	SCONJ
bracis-19040	313	2	\	\	PROPN
bracis-19040	313	3	(	(	PUNCT
bracis-19040	313	4	at	at	ADP
bracis-19040	313	5	_	_	NOUN
bracis-19040	313	6	1\	1\	NUM
bracis-19040	313	7	)	)	PUNCT
bracis-19040	313	8	and	and	CCONJ
bracis-19040	313	9	\	\	PROPN
bracis-19040	313	10	(	(	PUNCT
bracis-19040	313	11	at	at	ADP
bracis-19040	313	12	_	_	NOUN
bracis-19040	313	13	2\	2\	NUM
bracis-19040	313	14	)	)	PUNCT
bracis-19040	313	15	are	be	AUX
bracis-19040	313	16	syntactically	syntactically	ADV
bracis-19040	313	17	disjoint	disjoint	ADJ
bracis-19040	313	18	,	,	PUNCT
bracis-19040	313	19	for	for	ADP
bracis-19040	313	20	\(i	\(i	X
bracis-19040	313	21	\in	\in	PROPN
bracis-19040	313	22	\mathfrak	\mathfrak	PROPN
bracis-19040	313	23	c_p\	c_p\	PROPN
bracis-19040	313	24	)	)	PUNCT
bracis-19040	313	25	,	,	PUNCT
bracis-19040	313	26	\(\texttt	\(\texttt	X
bracis-19040	313	27	{	{	PUNCT
bracis-19040	313	28	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	313	29	{	{	PUNCT
bracis-19040	313	30	conc}(c_i	conc}(c_i	NOUN
bracis-19040	313	31	)	)	PUNCT
bracis-19040	313	32	)	)	PUNCT
bracis-19040	314	1	\subseteq	\subseteq	PROPN
bracis-19040	314	2	\texttt	\texttt	PROPN
bracis-19040	314	3	{	{	PUNCT
bracis-19040	314	4	atoms}(at_1)\	atoms}(at_1)\	NUM
bracis-19040	314	5	)	)	PUNCT
bracis-19040	314	6	or	or	CCONJ
bracis-19040	314	7	\(\texttt	\(\texttt	NOUN
bracis-19040	314	8	{	{	PUNCT
bracis-19040	314	9	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	314	10	{	{	PUNCT
bracis-19040	314	11	conc}(c_i	conc}(c_i	NOUN
bracis-19040	314	12	)	)	PUNCT
bracis-19040	314	13	)	)	PUNCT
bracis-19040	315	1	\subseteq	\subseteq	PROPN
bracis-19040	315	2	\texttt	\texttt	PROPN
bracis-19040	315	3	{	{	PUNCT
bracis-19040	315	4	atoms}(at_2)\	atoms}(at_2)\	NUM
bracis-19040	315	5	)	)	PUNCT
bracis-19040	315	6	,	,	PUNCT
bracis-19040	315	7	and	and	CCONJ
bracis-19040	315	8	for	for	ADP
bracis-19040	315	9	\(i	\(i	NOUN
bracis-19040	315	10	\in	\in	PROPN
bracis-19040	315	11	\mathfrak	\mathfrak	PROPN
bracis-19040	315	12	c_d\	c_d\	NOUN
bracis-19040	315	13	)	)	PUNCT
bracis-19040	315	14	,	,	PUNCT
bracis-19040	315	15	\(\texttt	\(\texttt	X
bracis-19040	315	16	{	{	PUNCT
bracis-19040	315	17	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	315	18	{	{	PUNCT
bracis-19040	315	19	toprule}(c_i	toprule}(c_i	NOUN
bracis-19040	315	20	)	)	PUNCT
bracis-19040	315	21	)	)	PUNCT
bracis-19040	316	1	\subseteq	\subseteq	PROPN
bracis-19040	316	2	\texttt	\texttt	PROPN
bracis-19040	316	3	{	{	PUNCT
bracis-19040	316	4	atoms}(at_1)\	atoms}(at_1)\	NUM
bracis-19040	316	5	)	)	PUNCT
bracis-19040	316	6	or	or	CCONJ
bracis-19040	316	7	\(\texttt	\(\texttt	NOUN
bracis-19040	316	8	{	{	PUNCT
bracis-19040	316	9	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	316	10	{	{	PUNCT
bracis-19040	316	11	toprule}(c_i	toprule}(c_i	NOUN
bracis-19040	316	12	)	)	PUNCT
bracis-19040	316	13	)	)	PUNCT
bracis-19040	317	1	\subseteq	\subseteq	PROPN
bracis-19040	317	2	\texttt	\texttt	PROPN
bracis-19040	317	3	{	{	PUNCT
bracis-19040	317	4	atoms}(at_2)\	atoms}(at_2)\	NUM
bracis-19040	317	5	)	)	PUNCT
bracis-19040	317	6	.	.	PUNCT
bracis-19040	318	1	we	we	PRON
bracis-19040	318	2	can	can	AUX
bracis-19040	318	3	partition	partition	VERB
bracis-19040	318	4	the	the	DET
bracis-19040	318	5	subarguments	subargument	NOUN
bracis-19040	318	6	of	of	ADP
bracis-19040	318	7	c	c	PROPN
bracis-19040	318	8	into	into	ADP
bracis-19040	318	9	two	two	NUM
bracis-19040	318	10	disjoint	disjoint	NOUN
bracis-19040	318	11	sets	set	NOUN
bracis-19040	318	12	\(\mathfrak	\(\mathfrak	ADV
bracis-19040	318	13	c_1\	c_1\	PROPN
bracis-19040	318	14	)	)	PUNCT
bracis-19040	318	15	and	and	CCONJ
bracis-19040	318	16	\(\mathfrak	\(\mathfrak	PROPN
bracis-19040	318	17	c_2\	c_2\	PROPN
bracis-19040	318	18	)	)	PUNCT
bracis-19040	318	19	such	such	ADJ
bracis-19040	318	20	that	that	PRON
bracis-19040	318	21	for	for	ADP
bracis-19040	318	22	\(i	\(i	X
bracis-19040	318	23	\in	\in	PROPN
bracis-19040	318	24	\mathfrak	\mathfrak	PRON
bracis-19040	318	25	c_1\	c_1\	PROPN
bracis-19040	318	26	)	)	PUNCT
bracis-19040	318	27	,	,	PUNCT
bracis-19040	318	28	\(\mathtt	\(\mathtt	VERB
bracis-19040	318	29	{	{	PUNCT
bracis-19040	318	30	conc}(c_i	conc}(c_i	NOUN
bracis-19040	318	31	)	)	PUNCT
bracis-19040	318	32	\subseteq	\subseteq	PROPN
bracis-19040	318	33	\texttt	\texttt	PROPN
bracis-19040	318	34	{	{	PUNCT
bracis-19040	318	35	atoms}(at_1)\	atoms}(at_1)\	NUM
bracis-19040	318	36	)	)	PUNCT
bracis-19040	318	37	and	and	CCONJ
bracis-19040	318	38	for	for	ADP
bracis-19040	318	39	\(i	\(i	X
bracis-19040	318	40	\in	\in	PROPN
bracis-19040	318	41	\mathfrak	\mathfrak	PROPN
bracis-19040	318	42	c_2\	c_2\	PROPN
bracis-19040	318	43	)	)	PUNCT
bracis-19040	318	44	,	,	PUNCT
bracis-19040	318	45	\(\mathtt	\(\mathtt	VERB
bracis-19040	318	46	{	{	PUNCT
bracis-19040	318	47	conc}(c_i	conc}(c_i	NOUN
bracis-19040	318	48	)	)	PUNCT
bracis-19040	318	49	\subseteq	\subseteq	PROPN
bracis-19040	318	50	\texttt	\texttt	PROPN
bracis-19040	318	51	{	{	PUNCT
bracis-19040	318	52	atoms}(at_2)\	atoms}(at_2)\	NUM
bracis-19040	318	53	)	)	PUNCT
bracis-19040	318	54	.	.	PUNCT
bracis-19040	319	1	let	let	VERB
bracis-19040	319	2	\(\mathfrak	\(\mathfrak	PROPN
bracis-19040	319	3	c_p	c_p	X
bracis-19040	320	1	\cap	\cap	NOUN
bracis-19040	320	2	\mathfrak	\mathfrak	ADP
bracis-19040	320	3	c_1	c_1	PROPN
bracis-19040	320	4	=	=	SYM
bracis-19040	320	5	\left\	\left\	PROPN
bracis-19040	320	6	{	{	PUNCT
bracis-19040	320	7	p_1	p_1	NOUN
bracis-19040	320	8	,	,	PUNCT
bracis-19040	320	9	\ldots	\ldot	NOUN
bracis-19040	320	10	,	,	PUNCT
bracis-19040	320	11	p_k\right\	p_k\right\	VERB
bracis-19040	320	12	}	}	PUNCT
bracis-19040	320	13	\	\	NOUN
bracis-19040	320	14	)	)	PUNCT
bracis-19040	320	15	,	,	PUNCT
bracis-19040	320	16	\(\mathfrak	\(\mathfrak	PROPN
bracis-19040	320	17	c_d	c_d	X
bracis-19040	321	1	\cap	\cap	VERB
bracis-19040	321	2	\mathfrak	\mathfrak	ADP
bracis-19040	321	3	c_1	c_1	PROPN
bracis-19040	321	4	=	=	SYM
bracis-19040	321	5	\left\	\left\	PROPN
bracis-19040	321	6	{	{	PUNCT
bracis-19040	321	7	d_1	d_1	PROPN
bracis-19040	321	8	,	,	PUNCT
bracis-19040	321	9	\ldots	\ldots	INTJ
bracis-19040	321	10	,	,	PUNCT
bracis-19040	321	11	d_m\right\	d_m\right\	ADJ
bracis-19040	321	12	}	}	PUNCT
bracis-19040	321	13	\	\	PROPN
bracis-19040	321	14	)	)	PUNCT
bracis-19040	321	15	,	,	PUNCT
bracis-19040	321	16	and	and	CCONJ
bracis-19040	321	17	\(\mathfrak	\(\mathfrak	PROPN
bracis-19040	321	18	c_2	c_2	PROPN
bracis-19040	321	19	=	=	SYM
bracis-19040	321	20	\left\	\left\	PROPN
bracis-19040	321	21	{	{	PUNCT
bracis-19040	321	22	b_1	b_1	PROPN
bracis-19040	321	23	,	,	PUNCT
bracis-19040	321	24	\ldots	\ldots	PROPN
bracis-19040	321	25	,	,	PUNCT
bracis-19040	321	26	b_j\right\	b_j\right\	NOUN
bracis-19040	321	27	}	}	PUNCT
bracis-19040	321	28	\	\	NOUN
bracis-19040	321	29	)	)	PUNCT
bracis-19040	321	30	.	.	PUNCT
bracis-19040	322	1	for	for	ADP
bracis-19040	322	2	each	each	DET
bracis-19040	322	3	\(d_i	\(d_i	PROPN
bracis-19040	322	4	\in	\in	PROPN
bracis-19040	322	5	\mathfrak	\mathfrak	PROPN
bracis-19040	322	6	c_d	c_d	PROPN
bracis-19040	322	7	\cap	\cap	PROPN
bracis-19040	322	8	\mathfrak	\mathfrak	ADP
bracis-19040	322	9	c_1\	c_1\	PROPN
bracis-19040	322	10	)	)	PUNCT
bracis-19040	322	11	,	,	PUNCT
bracis-19040	322	12	\(\texttt	\(\texttt	X
bracis-19040	322	13	{	{	PUNCT
bracis-19040	322	14	depth}(c_{d_i	depth}(c_{d_i	PROPN
bracis-19040	322	15	}	}	PUNCT
bracis-19040	322	16	)	)	PUNCT
bracis-19040	322	17	\le	\le	PROPN
bracis-19040	322	18	k\	k\	PROPN
bracis-19040	322	19	)	)	PUNCT
bracis-19040	322	20	.	.	PUNCT
bracis-19040	323	1	by	by	ADP
bracis-19040	323	2	the	the	DET
bracis-19040	323	3	induction	induction	NOUN
bracis-19040	323	4	hypothesis	hypothesis	NOUN
bracis-19040	323	5	,	,	PUNCT
bracis-19040	323	6	for	for	ADP
bracis-19040	323	7	each	each	DET
bracis-19040	323	8	\(d_i	\(d_i	PROPN
bracis-19040	323	9	\in	\in	PROPN
bracis-19040	323	10	\mathfrak	\mathfrak	PROPN
bracis-19040	323	11	c_d	c_d	PROPN
bracis-19040	323	12	\cap	\cap	PROPN
bracis-19040	323	13	\mathfrak	\mathfrak	ADP
bracis-19040	323	14	c_1\	c_1\	PROPN
bracis-19040	323	15	)	)	PUNCT
bracis-19040	323	16	,	,	PUNCT
bracis-19040	323	17	exists	exist	VERB
bracis-19040	323	18	\(c'_{d_i	\(c'_{d_i	NOUN
bracis-19040	323	19	}	}	PUNCT
bracis-19040	323	20	\in	\in	PROPN
bracis-19040	323	21	\mathcal	\mathcal	PROPN
bracis-19040	323	22	a_1\	a_1\	PROPN
bracis-19040	323	23	)	)	PUNCT
bracis-19040	323	24	s.t	s.t	PROPN
bracis-19040	323	25	\(\mathtt	\(\mathtt	VERB
bracis-19040	323	26	{	{	PUNCT
bracis-19040	323	27	conc}(c'_{d_i	conc}(c'_{d_i	NUM
bracis-19040	323	28	}	}	PUNCT
bracis-19040	323	29	)	)	PUNCT
bracis-19040	323	30	=	=	SYM
bracis-19040	324	1	\mathtt	\mathtt	X
bracis-19040	324	2	{	{	PUNCT
bracis-19040	324	3	conc}(c_{d_i})\	conc}(c_{d_i})\	NOUN
bracis-19040	324	4	)	)	PUNCT
bracis-19040	324	5	,	,	PUNCT
bracis-19040	324	6	and	and	CCONJ
bracis-19040	324	7	\(\mathtt	\(\mathtt	NOUN
bracis-19040	324	8	{	{	PUNCT
bracis-19040	324	9	defr}(c'_{d_i	defr}(c'_{d_i	X
bracis-19040	324	10	}	}	PUNCT
bracis-19040	324	11	)	)	PUNCT
bracis-19040	324	12	\subseteq	\subseteq	PROPN
bracis-19040	324	13	\mathtt	\mathtt	PROPN
bracis-19040	324	14	{	{	PUNCT
bracis-19040	324	15	defr}(c_{d_i})\	defr}(c_{d_i})\	NOUN
bracis-19040	324	16	)	)	PUNCT
bracis-19040	324	17	.	.	PUNCT
bracis-19040	325	1	note	note	VERB
bracis-19040	325	2	that	that	SCONJ
bracis-19040	325	3	\(\mathtt	\(\mathtt	VERB
bracis-19040	325	4	{	{	PUNCT
bracis-19040	325	5	conc}(c_{p_1	conc}(c_{p_1	NOUN
bracis-19040	325	6	}	}	PUNCT
bracis-19040	325	7	)	)	PUNCT
bracis-19040	325	8	,	,	PUNCT
bracis-19040	325	9	\ldots	\ldots	PROPN
bracis-19040	325	10	,	,	PUNCT
bracis-19040	325	11	\mathtt	\mathtt	PROPN
bracis-19040	325	12	{	{	PUNCT
bracis-19040	325	13	conc}(c_{p_k})\	conc}(c_{p_k})\	NOUN
bracis-19040	325	14	)	)	PUNCT
bracis-19040	325	15	,	,	PUNCT
bracis-19040	325	16	\(\mathtt	\(\mathtt	VERB
bracis-19040	325	17	{	{	PUNCT
bracis-19040	325	18	conc}(c'_{d_1	conc}(c'_{d_1	PROPN
bracis-19040	325	19	}	}	PUNCT
bracis-19040	325	20	)	)	PUNCT
bracis-19040	325	21	,	,	PUNCT
bracis-19040	325	22	\ldots	\ldots	PROPN
bracis-19040	325	23	,	,	PUNCT
bracis-19040	325	24	\mathtt	\mathtt	X
bracis-19040	325	25	{	{	PUNCT
bracis-19040	325	26	conc}(c'_{d_m	conc}(c'_{d_m	NOUN
bracis-19040	325	27	}	}	PUNCT
bracis-19040	325	28	)	)	PUNCT
bracis-19040	325	29	,	,	PUNCT
bracis-19040	325	30	\mathtt	\mathtt	X
bracis-19040	325	31	{	{	PUNCT
bracis-19040	325	32	conc}(c_{b_1}),\ldots	conc}(c_{b_1}),\ldot	NOUN
bracis-19040	325	33	,	,	PUNCT
bracis-19040	325	34	\mathtt	\mathtt	X
bracis-19040	325	35	{	{	PUNCT
bracis-19040	325	36	conc}(c_{b_j	conc}(c_{b_j	NOUN
bracis-19040	325	37	}	}	PUNCT
bracis-19040	325	38	)	)	PUNCT
bracis-19040	326	1	\rightarrow	\rightarrow	PROPN
bracis-19040	326	2	\mathtt	\mathtt	PROPN
bracis-19040	326	3	{	{	PUNCT
bracis-19040	326	4	conc}(c)\	conc}(c)\	NOUN
bracis-19040	326	5	)	)	PUNCT
bracis-19040	326	6	corresponds	correspond	VERB
bracis-19040	326	7	to	to	ADP
bracis-19040	326	8	\(\mathtt	\(\mathtt	NOUN
bracis-19040	326	9	{	{	PUNCT
bracis-19040	326	10	toprule}(c)\	toprule}(c)\	NOUN
bracis-19040	326	11	)	)	PUNCT
bracis-19040	326	12	.	.	PUNCT
bracis-19040	327	1	let	let	VERB
bracis-19040	327	2	\(t	\(t	NOUN
bracis-19040	327	3	=	=	PUNCT
bracis-19040	328	1	\texttt	\texttt	PROPN
bracis-19040	328	2	{	{	PUNCT
bracis-19040	328	3	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	328	4	{	{	PUNCT
bracis-19040	328	5	conc}(c_{b_1	conc}(c_{b_1	NOUN
bracis-19040	328	6	}	}	PUNCT
bracis-19040	328	7	)	)	PUNCT
bracis-19040	328	8	)	)	PUNCT
bracis-19040	328	9	\cup	\cup	VERB
bracis-19040	328	10	\ldots	\ldots	SCONJ
bracis-19040	328	11	\cup	\cup	NOUN
bracis-19040	328	12	\texttt	\texttt	PROPN
bracis-19040	328	13	{	{	PUNCT
bracis-19040	328	14	atoms}(\mathtt	atoms}(\mathtt	PROPN
bracis-19040	328	15	{	{	PUNCT
bracis-19040	328	16	conc}(c_{b_j}))\	conc}(c_{b_j}))\	PROPN
bracis-19040	328	17	)	)	PUNCT
bracis-19040	328	18	.	.	PUNCT
bracis-19040	329	1	as	as	SCONJ
bracis-19040	329	2	\(t	\(t	NOUN
bracis-19040	329	3	\cap	\cap	VERB
bracis-19040	329	4	\texttt	\texttt	PROPN
bracis-19040	329	5	{	{	PUNCT
bracis-19040	329	6	atoms}(\mathtt	atoms}(\mathtt	PROPN
bracis-19040	329	7	{	{	PUNCT
bracis-19040	329	8	conc}(c))=	conc}(c))=	PROPN
bracis-19040	329	9	\emptyset	\emptyset	VERB
bracis-19040	329	10	\	\	NOUN
bracis-19040	329	11	)	)	PUNCT
bracis-19040	329	12	,	,	PUNCT
bracis-19040	329	13	\(\mathtt	\(\mathtt	VERB
bracis-19040	329	14	{	{	PUNCT
bracis-19040	329	15	conc}(c_{p_1}),\ldots	conc}(c_{p_1}),\ldot	NOUN
bracis-19040	329	16	,	,	PUNCT
bracis-19040	329	17	\mathtt	\mathtt	PROPN
bracis-19040	329	18	{	{	PUNCT
bracis-19040	329	19	conc}(c_{p_n	conc}(c_{p_n	PROPN
bracis-19040	329	20	}	}	PUNCT
bracis-19040	329	21	)	)	PUNCT
bracis-19040	329	22	,	,	PUNCT
bracis-19040	329	23	\mathtt	\mathtt	PROPN
bracis-19040	329	24	{	{	PUNCT
bracis-19040	329	25	conc}(c'_{d_1	conc}(c'_{d_1	PROPN
bracis-19040	329	26	}	}	PUNCT
bracis-19040	329	27	)	)	PUNCT
bracis-19040	329	28	,	,	PUNCT
bracis-19040	329	29	\ldots	\ldots	PROPN
bracis-19040	329	30	,	,	PUNCT
bracis-19040	329	31	\mathtt	\mathtt	X
bracis-19040	329	32	{	{	PUNCT
bracis-19040	329	33	conc}(c'_{d_m	conc}(c'_{d_m	NOUN
bracis-19040	329	34	}	}	PUNCT
bracis-19040	329	35	)	)	PUNCT
bracis-19040	329	36	\rightarrow	\rightarrow	PROPN
bracis-19040	329	37	\mathtt	\mathtt	PROPN
bracis-19040	329	38	{	{	PUNCT
bracis-19040	329	39	conc}(c	conc}(c	PROPN
bracis-19040	329	40	)	)	PUNCT
bracis-19040	329	41	\in	\in	PROPN
bracis-19040	329	42	\mathcal	\mathcal	ADJ
bracis-19040	329	43	r_s\	r_s\	NOUN
bracis-19040	329	44	)	)	PUNCT
bracis-19040	329	45	;	;	PUNCT
bracis-19040	329	46	otherwise	otherwise	ADV
bracis-19040	329	47	\(\{\mathtt	\(\{\mathtt	NOUN
bracis-19040	329	48	{	{	PUNCT
bracis-19040	329	49	conc}(c_{b_1	conc}(c_{b_1	NOUN
bracis-19040	329	50	}	}	PUNCT
bracis-19040	329	51	)	)	PUNCT
bracis-19040	329	52	,	,	PUNCT
bracis-19040	329	53	\ldots	\ldots	PROPN
bracis-19040	329	54	,	,	PUNCT
bracis-19040	329	55	\mathtt	\mathtt	X
bracis-19040	329	56	{	{	PUNCT
bracis-19040	329	57	conc}(c_{b_j})\}\	conc}(c_{b_j})\}\	NOUN
bracis-19040	329	58	)	)	PUNCT
bracis-19040	329	59	is	be	AUX
bracis-19040	329	60	inconsistent	inconsistent	ADJ
bracis-19040	329	61	(	(	PUNCT
bracis-19040	329	62	definition	definition	NOUN
bracis-19040	329	63	13	13	NUM
bracis-19040	329	64	)	)	PUNCT
bracis-19040	329	65	,	,	PUNCT
bracis-19040	329	66	which	which	PRON
bracis-19040	329	67	can	can	AUX
bracis-19040	329	68	not	not	PART
bracis-19040	329	69	be	be	AUX
bracis-19040	329	70	true	true	ADJ
bracis-19040	329	71	as	as	SCONJ
bracis-19040	329	72	c	c	PROPN
bracis-19040	329	73	is	be	AUX
bracis-19040	329	74	consistent	consistent	ADJ
bracis-19040	329	75	.	.	PUNCT
bracis-19040	330	1	thus	thus	ADV
bracis-19040	330	2	,	,	PUNCT
bracis-19040	330	3	we	we	PRON
bracis-19040	330	4	can	can	AUX
bracis-19040	330	5	construct	construct	VERB
bracis-19040	330	6	an	an	DET
bracis-19040	330	7	argument	argument	NOUN
bracis-19040	330	8	\(c	\(c	NOUN
bracis-19040	330	9	'	'	PUNCT
bracis-19040	330	10	=	=	SYM
bracis-19040	330	11	\mathtt	\mathtt	X
bracis-19040	330	12	{	{	PUNCT
bracis-19040	330	13	conc}(c_{p_1	conc}(c_{p_1	NOUN
bracis-19040	330	14	}	}	PUNCT
bracis-19040	330	15	)	)	PUNCT
bracis-19040	330	16	,	,	PUNCT
bracis-19040	330	17	\ldots	\ldots	PROPN
bracis-19040	330	18	,	,	PUNCT
bracis-19040	330	19	\mathtt	\mathtt	PROPN
bracis-19040	330	20	{	{	PUNCT
bracis-19040	330	21	conc}(c_{p_n}),\mathtt	conc}(c_{p_n}),\mathtt	PROPN
bracis-19040	330	22	{	{	PUNCT
bracis-19040	330	23	conc}(c'_{d_1	conc}(c'_{d_1	PROPN
bracis-19040	330	24	}	}	PUNCT
bracis-19040	330	25	)	)	PUNCT
bracis-19040	330	26	,	,	PUNCT
bracis-19040	330	27	\ldots	\ldots	PROPN
bracis-19040	330	28	,	,	PUNCT
bracis-19040	330	29	\mathtt	\mathtt	X
bracis-19040	330	30	{	{	PUNCT
bracis-19040	330	31	conc}(c'_{d_m	conc}(c'_{d_m	NOUN
bracis-19040	330	32	}	}	PUNCT
bracis-19040	330	33	)	)	PUNCT
bracis-19040	330	34	\rightarrow	\rightarrow	PROPN
bracis-19040	330	35	\mathtt	\mathtt	PROPN
bracis-19040	330	36	{	{	PUNCT
bracis-19040	330	37	conc}(c)\	conc}(c)\	NOUN
bracis-19040	330	38	)	)	PUNCT
bracis-19040	330	39	from	from	ADP
bracis-19040	330	40	\(at_1\	\(at_1\	NOUN
bracis-19040	330	41	)	)	PUNCT
bracis-19040	330	42	s.t	s.t	PROPN
bracis-19040	330	43	.	.	PROPN
bracis-19040	330	44	\(\mathtt	\(\mathtt	VERB
bracis-19040	330	45	{	{	PUNCT
bracis-19040	330	46	conc}(c	conc}(c	NOUN
bracis-19040	330	47	'	'	PUNCT
bracis-19040	330	48	)	)	PUNCT
bracis-19040	330	49	=	=	SYM
bracis-19040	331	1	\mathtt	\mathtt	X
bracis-19040	331	2	{	{	PUNCT
bracis-19040	331	3	conc}(c)\	conc}(c)\	NOUN
bracis-19040	331	4	)	)	PUNCT
bracis-19040	331	5	.	.	PUNCT
bracis-19040	332	1	now	now	ADV
bracis-19040	332	2	we	we	PRON
bracis-19040	332	3	show	show	VERB
bracis-19040	332	4	\(c'\	\(c'\	NOUN
bracis-19040	332	5	)	)	PUNCT
bracis-19040	332	6	satisfies	satisfy	VERB
bracis-19040	332	7	the	the	DET
bracis-19040	332	8	requested	request	VERB
bracis-19040	332	9	properties	property	NOUN
bracis-19040	332	10	.	.	PUNCT
bracis-19040	333	1	\(c	\(c	ADJ
bracis-19040	333	2	'	'	PUNCT
bracis-19040	333	3	\in	\in	PROPN
bracis-19040	333	4	\mathcal	\mathcal	PROPN
bracis-19040	333	5	a_1\	a_1\	PROPN
bracis-19040	333	6	)	)	PUNCT
bracis-19040	333	7	since	since	SCONJ
bracis-19040	333	8	\(\texttt	\(\texttt	NOUN
bracis-19040	333	9	{	{	PUNCT
bracis-19040	333	10	atoms}(c	atoms}(c	NOUN
bracis-19040	333	11	'	'	PUNCT
bracis-19040	333	12	)	)	PUNCT
bracis-19040	334	1	=	=	SYM
bracis-19040	334	2	\texttt	\texttt	PROPN
bracis-19040	334	3	{	{	PUNCT
bracis-19040	334	4	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	334	5	{	{	PUNCT
bracis-19040	334	6	toprule}(c	toprule}(c	NUM
bracis-19040	334	7	)	)	PUNCT
bracis-19040	334	8	)	)	PUNCT
bracis-19040	334	9	\cup	\cup	VERB
bracis-19040	334	10	\bigcup	\bigcup	PROPN
bracis-19040	334	11	_	_	NOUN
bracis-19040	334	12	{	{	PUNCT
bracis-19040	334	13	(	(	PUNCT
bracis-19040	334	14	1	1	NUM
bracis-19040	334	15	\le	\le	NOUN
bracis-19040	334	16	i	i	PRON
bracis-19040	334	17	\le	\le	PROPN
bracis-19040	334	18	n	n	CCONJ
bracis-19040	334	19	)	)	PUNCT
bracis-19040	334	20	}	}	PUNCT
bracis-19040	334	21	\texttt	\texttt	PROPN
bracis-19040	334	22	{	{	PUNCT
bracis-19040	334	23	atoms}(c'_i	atoms}(c'_i	NOUN
bracis-19040	334	24	)	)	PUNCT
bracis-19040	334	25	\subseteq	\subseteq	PROPN
bracis-19040	334	26	\texttt	\texttt	PROPN
bracis-19040	334	27	{	{	PUNCT
bracis-19040	334	28	atoms	atom	NOUN
bracis-19040	334	29	}	}	PUNCT
bracis-19040	334	30	(	(	PUNCT
bracis-19040	334	31	at	at	ADP
bracis-19040	334	32	_	_	NOUN
bracis-19040	334	33	1)\	1)\	NUM
bracis-19040	334	34	)	)	PUNCT
bracis-19040	334	35	.	.	PUNCT
bracis-19040	335	1	\(\mathtt	\(\mathtt	NOUN
bracis-19040	335	2	{	{	PUNCT
bracis-19040	335	3	conc}(c	conc}(c	NOUN
bracis-19040	335	4	'	'	PUNCT
bracis-19040	335	5	)	)	PUNCT
bracis-19040	336	1	=	=	SYM
bracis-19040	336	2	\mathtt	\mathtt	X
bracis-19040	336	3	{	{	PUNCT
bracis-19040	336	4	conc}(c)\	conc}(c)\	NOUN
bracis-19040	336	5	)	)	PUNCT
bracis-19040	336	6	since	since	SCONJ
bracis-19040	336	7	c	c	PROPN
bracis-19040	336	8	and	and	CCONJ
bracis-19040	336	9	\(c'\	\(c'\	NOUN
bracis-19040	336	10	)	)	PUNCT
bracis-19040	336	11	share	share	VERB
bracis-19040	336	12	the	the	DET
bracis-19040	336	13	same	same	ADJ
bracis-19040	336	14	top	top	ADJ
bracis-19040	336	15	rule	rule	NOUN
bracis-19040	336	16	.	.	PUNCT
bracis-19040	337	1	in	in	ADP
bracis-19040	337	2	the	the	DET
bracis-19040	337	3	construction	construction	NOUN
bracis-19040	337	4	of	of	ADP
bracis-19040	337	5	\(c'\	\(c'\	NOUN
bracis-19040	337	6	)	)	PUNCT
bracis-19040	337	7	we	we	PRON
bracis-19040	337	8	resort	resort	VERB
bracis-19040	337	9	to	to	ADP
bracis-19040	337	10	\(c_i\	\(c_i\	NOUN
bracis-19040	337	11	)	)	PUNCT
bracis-19040	337	12	for	for	ADP
bracis-19040	337	13	each	each	DET
bracis-19040	337	14	\(i	\(i	NOUN
bracis-19040	337	15	\in	\in	PROPN
bracis-19040	337	16	\mathcal	\mathcal	PROPN
bracis-19040	337	17	c_1	c_1	PROPN
bracis-19040	337	18	\cap	\cap	PROPN
bracis-19040	337	19	\mathfrak	\mathfrak	ADP
bracis-19040	337	20	c_p\	c_p\	PROPN
bracis-19040	337	21	)	)	PUNCT
bracis-19040	337	22	and	and	CCONJ
bracis-19040	337	23	for	for	ADP
bracis-19040	337	24	each	each	DET
bracis-19040	337	25	\(j	\(j	NUM
bracis-19040	337	26	\in	\in	PROPN
bracis-19040	337	27	\mathcal	\mathcal	PROPN
bracis-19040	337	28	c_1	c_1	PROPN
bracis-19040	337	29	\cap	\cap	PROPN
bracis-19040	337	30	\mathfrak	\mathfrak	ADP
bracis-19040	337	31	c_d\	c_d\	NOUN
bracis-19040	337	32	)	)	PUNCT
bracis-19040	337	33	,	,	PUNCT
bracis-19040	337	34	we	we	PRON
bracis-19040	337	35	resort	resort	VERB
bracis-19040	337	36	to	to	ADP
bracis-19040	337	37	\(c'_j\	\(c'_j\	NUM
bracis-19040	337	38	)	)	PUNCT
bracis-19040	337	39	,	,	PUNCT
bracis-19040	337	40	obtained	obtain	VERB
bracis-19040	337	41	by	by	ADP
bracis-19040	337	42	induction	induction	NOUN
bracis-19040	337	43	hypothesis	hypothesis	NOUN
bracis-19040	337	44	,	,	PUNCT
bracis-19040	337	45	s.t	s.t	PROPN
bracis-19040	337	46	.	.	PROPN
bracis-19040	338	1	\(\mathtt	\(\mathtt	VERB
bracis-19040	338	2	{	{	PUNCT
bracis-19040	338	3	defr}(c'_j	defr}(c'_j	NOUN
bracis-19040	338	4	)	)	PUNCT
bracis-19040	338	5	\subseteq	\subseteq	PROPN
bracis-19040	338	6	\mathtt	\mathtt	PROPN
bracis-19040	338	7	{	{	PUNCT
bracis-19040	338	8	defr}(c_j)\	defr}(c_j)\	PROPN
bracis-19040	338	9	)	)	PUNCT
bracis-19040	338	10	and	and	CCONJ
bracis-19040	338	11	\(\mathtt	\(\mathtt	NOUN
bracis-19040	338	12	{	{	PUNCT
bracis-19040	338	13	concs}(\mathtt	concs}(\mathtt	NOUN
bracis-19040	338	14	{	{	PUNCT
bracis-19040	338	15	sub}(c_j	sub}(c_j	NOUN
bracis-19040	338	16	'	'	NUM
bracis-19040	338	17	)	)	PUNCT
bracis-19040	338	18	)	)	PUNCT
bracis-19040	339	1	\subseteq	\subseteq	PROPN
bracis-19040	339	2	\mathtt	\mathtt	PROPN
bracis-19040	339	3	{	{	PUNCT
bracis-19040	339	4	concs}(\mathtt	concs}(\mathtt	NOUN
bracis-19040	339	5	{	{	PUNCT
bracis-19040	339	6	sub}(c_j))\	sub}(c_j))\	PROPN
bracis-19040	339	7	)	)	PUNCT
bracis-19040	339	8	.	.	PUNCT
bracis-19040	340	1	it	it	PRON
bracis-19040	340	2	follows	follow	VERB
bracis-19040	340	3	\(\mathtt	\(\mathtt	NOUN
bracis-19040	340	4	{	{	PUNCT
bracis-19040	340	5	defr}(c	defr}(c	NOUN
bracis-19040	340	6	'	'	PUNCT
bracis-19040	340	7	)	)	PUNCT
bracis-19040	341	1	\subseteq	\subseteq	PROPN
bracis-19040	341	2	\mathtt	\mathtt	INTJ
bracis-19040	341	3	{	{	PUNCT
bracis-19040	341	4	defr}(c)\	defr}(c)\	NOUN
bracis-19040	341	5	)	)	PUNCT
bracis-19040	341	6	and	and	CCONJ
bracis-19040	341	7	\(\mathtt	\(\mathtt	NOUN
bracis-19040	341	8	{	{	PUNCT
bracis-19040	341	9	concs}(\mathtt	concs}(\mathtt	NOUN
bracis-19040	341	10	{	{	PUNCT
bracis-19040	341	11	sub}(c	sub}(c	NOUN
bracis-19040	341	12	'	'	PUNCT
bracis-19040	341	13	)	)	PUNCT
bracis-19040	341	14	)	)	PUNCT
bracis-19040	342	1	\subseteq	\subseteq	PROPN
bracis-19040	342	2	\mathtt	\mathtt	PROPN
bracis-19040	342	3	{	{	PUNCT
bracis-19040	342	4	concs}(\mathtt	concs}(\mathtt	NOUN
bracis-19040	342	5	{	{	PUNCT
bracis-19040	342	6	sub}(c))\	sub}(c))\	NOUN
bracis-19040	342	7	)	)	PUNCT
bracis-19040	342	8	.	.	PUNCT
bracis-19040	342	9	   	   	SPACE
bracis-19040	342	10	\(\square	\(\square	VERB
bracis-19040	342	11	\	\	NOUN
bracis-19040	342	12	)	)	PUNCT
bracis-19040	343	1	the	the	DET
bracis-19040	343	2	notion	notion	NOUN
bracis-19040	343	3	of	of	ADP
bracis-19040	343	4	defense	defense	NOUN
bracis-19040	343	5	expresses	express	VERB
bracis-19040	343	6	when	when	SCONJ
bracis-19040	343	7	an	an	DET
bracis-19040	343	8	argument	argument	NOUN
bracis-19040	343	9	c	c	NOUN
bracis-19040	343	10	defends	defend	VERB
bracis-19040	343	11	b	b	NOUN
bracis-19040	343	12	from	from	ADP
bracis-19040	343	13	a	a	DET
bracis-19040	343	14	:	:	PUNCT
bracis-19040	343	15	definition	definition	NOUN
bracis-19040	343	16	21	21	NUM
bracis-19040	343	17	(	(	PUNCT
bracis-19040	343	18	defense	defense	NOUN
bracis-19040	343	19	)	)	PUNCT
bracis-19040	343	20	.	.	PUNCT
bracis-19040	344	1	let	let	VERB
bracis-19040	344	2	\	\	PROPN
bracis-19040	344	3	(	(	PUNCT
bracis-19040	344	4	af	af	PROPN
bracis-19040	344	5	=	=	SYM
bracis-19040	344	6	(	(	PUNCT
bracis-19040	344	7	\mathcal	\mathcal	PROPN
bracis-19040	344	8	a	a	X
bracis-19040	344	9	,	,	PUNCT
bracis-19040	344	10	\mathcal	\mathcal	PROPN
bracis-19040	344	11	d	d	NOUN
bracis-19040	344	12	,	,	PUNCT
bracis-19040	344	13	\mathcal	\mathcal	PROPN
bracis-19040	344	14	d')\	d')\	NOUN
bracis-19040	344	15	)	)	PUNCT
bracis-19040	344	16	be	be	VERB
bracis-19040	344	17	an	an	DET
bracis-19040	344	18	\	\	PROPN
bracis-19040	344	19	(	(	PUNCT
bracis-19040	344	20	af	af	X
bracis-19040	344	21	_	_	NOUN
bracis-19040	344	22	2\	2\	NUM
bracis-19040	344	23	)	)	PUNCT
bracis-19040	344	24	and	and	CCONJ
bracis-19040	344	25	\(a	\(a	PROPN
bracis-19040	344	26	,	,	PUNCT
bracis-19040	344	27	b	b	NOUN
bracis-19040	344	28	,	,	PUNCT
bracis-19040	344	29	c	c	PROPN
bracis-19040	344	30	\in	\in	PROPN
bracis-19040	344	31	\mathcal	\mathcal	PROPN
bracis-19040	344	32	a\	a\	NOUN
bracis-19040	344	33	)	)	PUNCT
bracis-19040	344	34	such	such	ADJ
bracis-19040	344	35	that	that	PRON
bracis-19040	344	36	\((a	\((a	NOUN
bracis-19040	344	37	,	,	PUNCT
bracis-19040	344	38	b	b	NOUN
bracis-19040	344	39	)	)	PUNCT
bracis-19040	344	40	\in	\in	PROPN
bracis-19040	344	41	\mathcal	\mathcal	PROPN
bracis-19040	345	1	d	d	PROPN
bracis-19040	345	2	\cup	\cup	PROPN
bracis-19040	345	3	\mathcal	\mathcal	PROPN
bracis-19040	345	4	d'\	d'\	PROPN
bracis-19040	345	5	)	)	PUNCT
bracis-19040	345	6	.	.	PUNCT
bracis-19040	346	1	an	an	DET
bracis-19040	346	2	argument	argument	NOUN
bracis-19040	346	3	c	c	NOUN
bracis-19040	346	4	defends	defend	VERB
bracis-19040	346	5	b	b	NOUN
bracis-19040	346	6	from	from	ADP
bracis-19040	346	7	a	a	PRON
bracis-19040	346	8	,	,	PUNCT
bracis-19040	346	9	denoted	denote	VERB
bracis-19040	346	10	by	by	ADP
bracis-19040	346	11	\	\	PROPN
bracis-19040	346	12	(	(	PUNCT
bracis-19040	346	13	df	df	PROPN
bracis-19040	346	14	(	(	PUNCT
bracis-19040	346	15	c	c	X
bracis-19040	346	16	,	,	PUNCT
bracis-19040	346	17	b	b	NOUN
bracis-19040	346	18	,	,	PUNCT
bracis-19040	346	19	a)\	a)\	NUM
bracis-19040	346	20	)	)	PUNCT
bracis-19040	346	21	,	,	PUNCT
bracis-19040	346	22	when	when	SCONJ
bracis-19040	346	23	1	1	X
bracis-19040	346	24	)	)	PUNCT
bracis-19040	346	25	if	if	SCONJ
bracis-19040	346	26	\((a	\((a	PROPN
bracis-19040	346	27	,	,	PUNCT
bracis-19040	346	28	b	b	NOUN
bracis-19040	346	29	)	)	PUNCT
bracis-19040	346	30	\in	\in	PROPN
bracis-19040	346	31	\mathcal	\mathcal	PROPN
bracis-19040	346	32	d\	d\	PROPN
bracis-19040	346	33	)	)	PUNCT
bracis-19040	346	34	,	,	PUNCT
bracis-19040	346	35	then	then	ADV
bracis-19040	346	36	\((c	\((c	PROPN
bracis-19040	346	37	,	,	PUNCT
bracis-19040	346	38	a	a	PRON
bracis-19040	346	39	)	)	PUNCT
bracis-19040	346	40	\in	\in	PROPN
bracis-19040	346	41	\mathcal	\mathcal	PROPN
bracis-19040	346	42	d\	d\	PROPN
bracis-19040	346	43	)	)	PUNCT
bracis-19040	346	44	;	;	PUNCT
bracis-19040	346	45	2	2	X
bracis-19040	346	46	)	)	PUNCT
bracis-19040	346	47	if	if	SCONJ
bracis-19040	346	48	\((a	\((a	PROPN
bracis-19040	346	49	,	,	PUNCT
bracis-19040	346	50	b	b	NOUN
bracis-19040	346	51	)	)	PUNCT
bracis-19040	346	52	\in	\in	PROPN
bracis-19040	346	53	\mathcal	\mathcal	PROPN
bracis-19040	346	54	d'\	d'\	PROPN
bracis-19040	346	55	)	)	PUNCT
bracis-19040	346	56	,	,	PUNCT
bracis-19040	346	57	then	then	ADV
bracis-19040	346	58	\((c	\((c	PROPN
bracis-19040	346	59	,	,	PUNCT
bracis-19040	346	60	a	a	DET
bracis-19040	346	61	)	)	PUNCT
bracis-19040	346	62	\in	\in	PROPN
bracis-19040	346	63	\mathcal	\mathcal	PROPN
bracis-19040	346	64	d\	d\	NOUN
bracis-19040	346	65	)	)	PUNCT
bracis-19040	346	66	or	or	CCONJ
bracis-19040	346	67	\((c	\((c	PROPN
bracis-19040	346	68	,	,	PUNCT
bracis-19040	346	69	a	a	PRON
bracis-19040	346	70	)	)	PUNCT
bracis-19040	346	71	\in	\in	PROPN
bracis-19040	346	72	\mathcal	\mathcal	PROPN
bracis-19040	346	73	d'\	d'\	PROPN
bracis-19040	346	74	)	)	PUNCT
bracis-19040	346	75	.	.	PUNCT
bracis-19040	347	1	in	in	ADP
bracis-19040	347	2	addition	addition	NOUN
bracis-19040	347	3	to	to	ADP
bracis-19040	347	4	the	the	DET
bracis-19040	347	5	fundamental	fundamental	ADJ
bracis-19040	347	6	result	result	NOUN
bracis-19040	347	7	obtained	obtain	VERB
bracis-19040	347	8	by	by	ADP
bracis-19040	347	9	lemma	lemma	PROPN
bracis-19040	347	10	1	1	NUM
bracis-19040	347	11	,	,	PUNCT
bracis-19040	347	12	we	we	PRON
bracis-19040	347	13	will	will	AUX
bracis-19040	347	14	use	use	VERB
bracis-19040	347	15	lemmas	lemma	NOUN
bracis-19040	347	16	2	2	NUM
bracis-19040	347	17	,	,	PUNCT
bracis-19040	347	18	3	3	NUM
bracis-19040	347	19	,	,	PUNCT
bracis-19040	347	20	5	5	NUM
bracis-19040	347	21	and	and	CCONJ
bracis-19040	347	22	6	6	NUM
bracis-19040	347	23	to	to	PART
bracis-19040	347	24	prove	prove	VERB
bracis-19040	347	25	theorem	theorem	ADJ
bracis-19040	347	26	1	1	NUM
bracis-19040	347	27	,	,	PUNCT
bracis-19040	347	28	which	which	PRON
bracis-19040	347	29	is	be	AUX
bracis-19040	347	30	one	one	NUM
bracis-19040	347	31	of	of	ADP
bracis-19040	347	32	our	our	PRON
bracis-19040	347	33	main	main	ADJ
bracis-19040	347	34	results	result	NOUN
bracis-19040	347	35	.	.	PUNCT
bracis-19040	348	1	with	with	ADP
bracis-19040	348	2	the	the	DET
bracis-19040	348	3	following	follow	VERB
bracis-19040	348	4	lemma	lemma	PROPN
bracis-19040	348	5	we	we	PRON
bracis-19040	348	6	establish	establish	VERB
bracis-19040	348	7	a	a	DET
bracis-19040	348	8	connection	connection	NOUN
bracis-19040	348	9	between	between	ADP
bracis-19040	348	10	complete	complete	ADJ
bracis-19040	348	11	extensions	extension	NOUN
bracis-19040	348	12	of	of	ADP
bracis-19040	348	13	\	\	PROPN
bracis-19040	348	14	(	(	PUNCT
bracis-19040	348	15	af	af	PROPN
bracis-19040	348	16	\	\	PROPN
bracis-19040	348	17	)	)	PUNCT
bracis-19040	348	18	with	with	ADP
bracis-19040	348	19	the	the	DET
bracis-19040	348	20	arguments	argument	NOUN
bracis-19040	348	21	in	in	ADP
bracis-19040	348	22	\(\mathcal	\(\mathcal	ADJ
bracis-19040	348	23	a_1\	a_1\	PRON
bracis-19040	348	24	):	):	PUNCT
bracis-19040	348	25	lemma	lemma	PROPN
bracis-19040	348	26	2	2	NUM
bracis-19040	348	27	let	let	VERB
bracis-19040	348	28	\	\	PROPN
bracis-19040	348	29	(	(	PUNCT
bracis-19040	348	30	at	at	ADP
bracis-19040	348	31	=	=	PUNCT
bracis-19040	348	32	at	at	ADP
bracis-19040	348	33	_	_	NOUN
bracis-19040	348	34	1	1	NUM
bracis-19040	348	35	\cup	\cup	NOUN
bracis-19040	348	36	at	at	ADP
bracis-19040	348	37	_	_	NOUN
bracis-19040	348	38	2\	2\	NUM
bracis-19040	348	39	)	)	PUNCT
bracis-19040	348	40	for	for	ADP
bracis-19040	348	41	syntactically	syntactically	ADV
bracis-19040	348	42	disjoint	disjoint	VERB
bracis-19040	348	43	argumentation	argumentation	NOUN
bracis-19040	348	44	theories	theory	NOUN
bracis-19040	348	45	\	\	PROPN
bracis-19040	348	46	(	(	PUNCT
bracis-19040	348	47	at	at	ADP
bracis-19040	348	48	_	_	NOUN
bracis-19040	348	49	1\	1\	NUM
bracis-19040	348	50	)	)	PUNCT
bracis-19040	348	51	and	and	CCONJ
bracis-19040	348	52	\	\	PROPN
bracis-19040	348	53	(	(	PUNCT
bracis-19040	348	54	at	at	ADP
bracis-19040	348	55	_	_	NOUN
bracis-19040	348	56	2\	2\	NUM
bracis-19040	348	57	)	)	PUNCT
bracis-19040	348	58	,	,	PUNCT
bracis-19040	348	59	and	and	CCONJ
bracis-19040	348	60	\	\	PROPN
bracis-19040	348	61	(	(	PUNCT
bracis-19040	348	62	af	af	PROPN
bracis-19040	348	63	=	=	SYM
bracis-19040	348	64	(	(	PUNCT
bracis-19040	348	65	\mathcal	\mathcal	PROPN
bracis-19040	348	66	a	a	X
bracis-19040	348	67	,	,	PUNCT
bracis-19040	348	68	\mathcal	\mathcal	PROPN
bracis-19040	348	69	d	d	NOUN
bracis-19040	348	70	,	,	PUNCT
bracis-19040	348	71	\mathcal	\mathcal	PROPN
bracis-19040	348	72	d')\	d')\	NOUN
bracis-19040	348	73	)	)	PUNCT
bracis-19040	348	74	and	and	CCONJ
bracis-19040	348	75	\	\	PROPN
bracis-19040	348	76	(	(	PUNCT
bracis-19040	348	77	af	af	X
bracis-19040	348	78	_	_	NOUN
bracis-19040	348	79	1	1	X
bracis-19040	348	80	=	=	SYM
bracis-19040	348	81	(	(	PUNCT
bracis-19040	348	82	\mathcal	\mathcal	PROPN
bracis-19040	348	83	a_1	a_1	NOUN
bracis-19040	348	84	,	,	PUNCT
bracis-19040	348	85	\mathcal	\mathcal	PROPN
bracis-19040	348	86	d_1	d_1	PROPN
bracis-19040	348	87	,	,	PUNCT
bracis-19040	348	88	\mathcal	\mathcal	PROPN
bracis-19040	348	89	d'_1)\	d'_1)\	PROPN
bracis-19040	348	90	)	)	PUNCT
bracis-19040	348	91	be	be	VERB
bracis-19040	348	92	respectively	respectively	ADV
bracis-19040	348	93	the	the	DET
bracis-19040	348	94	resulting	result	VERB
bracis-19040	348	95	inconsistency	inconsistency	NOUN
bracis-19040	348	96	-	-	PUNCT
bracis-19040	348	97	cleaned	clean	VERB
bracis-19040	348	98	\	\	PROPN
bracis-19040	348	99	(	(	PUNCT
bracis-19040	348	100	af	af	X
bracis-19040	348	101	_	_	NOUN
bracis-19040	348	102	2\)s	2\)s	NUM
bracis-19040	348	103	from	from	ADP
bracis-19040	348	104	\	\	PROPN
bracis-19040	348	105	(	(	PUNCT
bracis-19040	348	106	at	at	ADP
bracis-19040	348	107	\	\	NOUN
bracis-19040	348	108	)	)	PUNCT
bracis-19040	348	109	and	and	CCONJ
bracis-19040	348	110	\	\	PROPN
bracis-19040	348	111	(	(	PUNCT
bracis-19040	348	112	at	at	ADP
bracis-19040	348	113	_	_	NOUN
bracis-19040	348	114	1\	1\	NUM
bracis-19040	348	115	)	)	PUNCT
bracis-19040	348	116	.	.	PUNCT
bracis-19040	349	1	for	for	ADP
bracis-19040	349	2	any	any	DET
bracis-19040	349	3	complete	complete	ADJ
bracis-19040	349	4	extension	extension	NOUN
bracis-19040	349	5	\(e	\(e	X
bracis-19040	349	6	\subseteq	\subseteq	PROPN
bracis-19040	349	7	\mathcal	\mathcal	PROPN
bracis-19040	349	8	a\	a\	PROPN
bracis-19040	349	9	)	)	PUNCT
bracis-19040	349	10	of	of	ADP
bracis-19040	349	11	\	\	PROPN
bracis-19040	349	12	(	(	PUNCT
bracis-19040	349	13	af	af	PROPN
bracis-19040	349	14	\	\	PROPN
bracis-19040	349	15	)	)	PUNCT
bracis-19040	349	16	,	,	PUNCT
bracis-19040	349	17	\(\mathtt	\(\mathtt	VERB
bracis-19040	349	18	{	{	PUNCT
bracis-19040	349	19	concs}(e	concs}(e	PROPN
bracis-19040	349	20	\cap	\cap	PROPN
bracis-19040	349	21	\mathcal	\mathcal	PROPN
bracis-19040	349	22	a_1	a_1	NOUN
bracis-19040	349	23	)	)	PUNCT
bracis-19040	349	24	=	=	SYM
bracis-19040	349	25	\mathtt	\mathtt	X
bracis-19040	349	26	{	{	PUNCT
bracis-19040	349	27	concs}(e)_{\mid	concs}(e)_{\mid	X
bracis-19040	349	28	\texttt	\texttt	PROPN
bracis-19040	349	29	{	{	PUNCT
bracis-19040	349	30	atoms	atom	NOUN
bracis-19040	349	31	}	}	PUNCT
bracis-19040	349	32	(	(	PUNCT
bracis-19040	349	33	at	at	ADP
bracis-19040	349	34	_	_	NOUN
bracis-19040	349	35	1)}\	1)}\	NUM
bracis-19040	349	36	)	)	PUNCT
bracis-19040	349	37	.	.	PUNCT
bracis-19040	350	1	proof	proof	NOUN
bracis-19040	350	2	if	if	SCONJ
bracis-19040	350	3	\(\phi	\(\phi	ADJ
bracis-19040	350	4	\in	\in	ADJ
bracis-19040	350	5	\mathtt	\mathtt	PROPN
bracis-19040	350	6	{	{	PUNCT
bracis-19040	350	7	concs}(e	concs}(e	PROPN
bracis-19040	350	8	\cap	\cap	PROPN
bracis-19040	350	9	\mathcal	\mathcal	PROPN
bracis-19040	350	10	a_1)\	a_1)\	PROPN
bracis-19040	350	11	)	)	PUNCT
bracis-19040	350	12	,	,	PUNCT
bracis-19040	350	13	then	then	ADV
bracis-19040	350	14	\(\exists	\(\exist	VERB
bracis-19040	350	15	a	a	DET
bracis-19040	350	16	\in	\in	PROPN
bracis-19040	350	17	e	e	PROPN
bracis-19040	350	18	\cap	\cap	PROPN
bracis-19040	350	19	\mathcal	\mathcal	PROPN
bracis-19040	350	20	a_1\	a_1\	PROPN
bracis-19040	350	21	)	)	PUNCT
bracis-19040	350	22	such	such	ADJ
bracis-19040	350	23	that	that	SCONJ
bracis-19040	350	24	\(\mathtt	\(\mathtt	NOUN
bracis-19040	350	25	{	{	PUNCT
bracis-19040	350	26	conc}(a	conc}(a	PROPN
bracis-19040	350	27	)	)	PUNCT
bracis-19040	350	28	=	=	PUNCT
bracis-19040	350	29	\phi	\phi	PROPN
bracis-19040	350	30	\	\	NOUN
bracis-19040	350	31	)	)	PUNCT
bracis-19040	350	32	.	.	PUNCT
bracis-19040	351	1	it	it	PRON
bracis-19040	351	2	follows	follow	VERB
bracis-19040	351	3	\(a	\(a	NOUN
bracis-19040	351	4	\in	\in	PROPN
bracis-19040	351	5	e\	e\	PROPN
bracis-19040	351	6	)	)	PUNCT
bracis-19040	351	7	and	and	CCONJ
bracis-19040	351	8	\(a	\(a	NOUN
bracis-19040	351	9	\in	\in	PROPN
bracis-19040	351	10	\mathcal	\mathcal	PROPN
bracis-19040	351	11	a_1\	a_1\	PROPN
bracis-19040	351	12	)	)	PUNCT
bracis-19040	351	13	,	,	PUNCT
bracis-19040	351	14	and	and	CCONJ
bracis-19040	351	15	so	so	ADV
bracis-19040	351	16	\(\phi	\(\phi	ADJ
bracis-19040	351	17	\in	\in	PROPN
bracis-19040	351	18	\mathtt	\mathtt	PROPN
bracis-19040	351	19	{	{	PUNCT
bracis-19040	351	20	concs}(e)\	concs}(e)\	NOUN
bracis-19040	351	21	)	)	PUNCT
bracis-19040	351	22	and	and	CCONJ
bracis-19040	351	23	\(\phi	\(\phi	ADJ
bracis-19040	351	24	\in	\in	ADJ
bracis-19040	351	25	\mathtt	\mathtt	PROPN
bracis-19040	351	26	{	{	PUNCT
bracis-19040	351	27	concs}(\mathcal	concs}(\mathcal	PROPN
bracis-19040	351	28	a_1)\	a_1)\	PROPN
bracis-19040	351	29	)	)	PUNCT
bracis-19040	351	30	.	.	PUNCT
bracis-19040	352	1	as	as	ADP
bracis-19040	352	2	\(\texttt	\(\texttt	NOUN
bracis-19040	352	3	{	{	PUNCT
bracis-19040	352	4	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	352	5	{	{	PUNCT
bracis-19040	352	6	conc}(\phi	conc}(\phi	NOUN
bracis-19040	352	7	)	)	PUNCT
bracis-19040	352	8	)	)	PUNCT
bracis-19040	353	1	\subseteq	\subseteq	PROPN
bracis-19040	353	2	\texttt	\texttt	PROPN
bracis-19040	353	3	{	{	PUNCT
bracis-19040	353	4	atoms	atom	NOUN
bracis-19040	353	5	}	}	PUNCT
bracis-19040	353	6	(	(	PUNCT
bracis-19040	353	7	at	at	ADP
bracis-19040	353	8	_	_	NOUN
bracis-19040	353	9	1)\	1)\	NUM
bracis-19040	353	10	)	)	PUNCT
bracis-19040	353	11	,	,	PUNCT
bracis-19040	353	12	it	it	PRON
bracis-19040	353	13	holds	hold	VERB
bracis-19040	353	14	\(\phi	\(\phi	ADJ
bracis-19040	353	15	\in	\in	ADJ
bracis-19040	353	16	\mathtt	\mathtt	NOUN
bracis-19040	353	17	{	{	PUNCT
bracis-19040	353	18	concs}(e)_{\mid	concs}(e)_{\mid	X
bracis-19040	353	19	\texttt	\texttt	PROPN
bracis-19040	353	20	{	{	PUNCT
bracis-19040	353	21	atoms	atom	NOUN
bracis-19040	353	22	}	}	PUNCT
bracis-19040	353	23	(	(	PUNCT
bracis-19040	353	24	at	at	ADP
bracis-19040	353	25	_	_	NOUN
bracis-19040	353	26	1)}\	1)}\	NUM
bracis-19040	353	27	)	)	PUNCT
bracis-19040	353	28	.	.	PUNCT
bracis-19040	354	1	if	if	SCONJ
bracis-19040	354	2	\(\phi	\(\phi	ADJ
bracis-19040	354	3	\in	\in	ADJ
bracis-19040	354	4	\mathtt	\mathtt	NOUN
bracis-19040	354	5	{	{	PUNCT
bracis-19040	354	6	concs}(e)_{\mid	concs}(e)_{\mid	X
bracis-19040	354	7	\texttt	\texttt	PROPN
bracis-19040	354	8	{	{	PUNCT
bracis-19040	354	9	atoms	atom	NOUN
bracis-19040	354	10	}	}	PUNCT
bracis-19040	354	11	(	(	PUNCT
bracis-19040	354	12	at	at	ADP
bracis-19040	354	13	_	_	NOUN
bracis-19040	354	14	1)}\	1)}\	NUM
bracis-19040	354	15	)	)	PUNCT
bracis-19040	354	16	,	,	PUNCT
bracis-19040	354	17	then	then	ADV
bracis-19040	354	18	\(\exists	\(\exist	VERB
bracis-19040	354	19	a	a	DET
bracis-19040	354	20	\in	\in	PROPN
bracis-19040	354	21	e\	e\	NOUN
bracis-19040	354	22	)	)	PUNCT
bracis-19040	354	23	s.t	s.t	PROPN
bracis-19040	354	24	.	.	PROPN
bracis-19040	354	25	\(\mathtt	\(\mathtt	VERB
bracis-19040	354	26	{	{	PUNCT
bracis-19040	354	27	conc}(a	conc}(a	PROPN
bracis-19040	354	28	)	)	PUNCT
bracis-19040	354	29	=	=	PUNCT
bracis-19040	354	30	\phi	\phi	PROPN
bracis-19040	354	31	\	\	NOUN
bracis-19040	354	32	)	)	PUNCT
bracis-19040	354	33	and	and	CCONJ
bracis-19040	354	34	\(\texttt	\(\texttt	NUM
bracis-19040	354	35	{	{	PUNCT
bracis-19040	354	36	atoms}(\phi	atoms}(\phi	NUM
bracis-19040	354	37	)	)	PUNCT
bracis-19040	355	1	\subseteq	\subseteq	PROPN
bracis-19040	355	2	\texttt	\texttt	PROPN
bracis-19040	355	3	{	{	PUNCT
bracis-19040	355	4	atoms	atom	NOUN
bracis-19040	355	5	}	}	PUNCT
bracis-19040	355	6	(	(	PUNCT
bracis-19040	355	7	at	at	ADP
bracis-19040	355	8	_	_	NOUN
bracis-19040	355	9	1)\	1)\	NUM
bracis-19040	355	10	)	)	PUNCT
bracis-19040	355	11	.	.	PUNCT
bracis-19040	356	1	from	from	ADP
bracis-19040	356	2	lemma	lemma	PROPN
bracis-19040	356	3	1	1	NUM
bracis-19040	356	4	,	,	PUNCT
bracis-19040	356	5	\(\exists	\(\exist	NOUN
bracis-19040	356	6	a	a	DET
bracis-19040	356	7	'	'	PUNCT
bracis-19040	356	8	\in	\in	PROPN
bracis-19040	356	9	\mathcal	\mathcal	PROPN
bracis-19040	356	10	a_1\	a_1\	NOUN
bracis-19040	356	11	)	)	PUNCT
bracis-19040	357	1	such	such	ADJ
bracis-19040	357	2	that	that	SCONJ
bracis-19040	357	3	\(\mathtt	\(\mathtt	VERB
bracis-19040	357	4	{	{	PUNCT
bracis-19040	357	5	conc}(a	conc}(a	PROPN
bracis-19040	357	6	'	'	PUNCT
bracis-19040	357	7	)	)	PUNCT
bracis-19040	357	8	=	=	PUNCT
bracis-19040	357	9	\phi	\phi	PROPN
bracis-19040	357	10	\	\	NOUN
bracis-19040	357	11	)	)	PUNCT
bracis-19040	357	12	and	and	CCONJ
bracis-19040	357	13	\(a'^\subseteq	\(a'^\subseteq	PROPN
bracis-19040	357	14	a^-\	a^-\	NOUN
bracis-19040	357	15	)	)	PUNCT
bracis-19040	357	16	.	.	PUNCT
bracis-19040	358	1	as	as	SCONJ
bracis-19040	358	2	e	e	PROPN
bracis-19040	358	3	is	be	AUX
bracis-19040	358	4	a	a	DET
bracis-19040	358	5	complete	complete	ADJ
bracis-19040	358	6	extension	extension	NOUN
bracis-19040	358	7	of	of	ADP
bracis-19040	358	8	\	\	PROPN
bracis-19040	358	9	(	(	PUNCT
bracis-19040	358	10	af	af	PROPN
bracis-19040	358	11	\	\	PROPN
bracis-19040	358	12	)	)	PUNCT
bracis-19040	358	13	and	and	CCONJ
bracis-19040	358	14	\(a	\(a	PROPN
bracis-19040	358	15	\in	\in	PROPN
bracis-19040	358	16	e\	e\	PROPN
bracis-19040	358	17	)	)	PUNCT
bracis-19040	358	18	,	,	PUNCT
bracis-19040	358	19	it	it	PRON
bracis-19040	358	20	must	must	AUX
bracis-19040	358	21	be	be	AUX
bracis-19040	358	22	\(a	\(a	NOUN
bracis-19040	358	23	'	'	PART
bracis-19040	358	24	\in	\in	PROPN
bracis-19040	358	25	e\	e\	PROPN
bracis-19040	358	26	)	)	PUNCT
bracis-19040	358	27	,	,	PUNCT
bracis-19040	358	28	and	and	CCONJ
bracis-19040	358	29	so	so	ADV
bracis-19040	358	30	\(a	\(a	PROPN
bracis-19040	358	31	'	'	PUNCT
bracis-19040	358	32	\in	\in	PROPN
bracis-19040	358	33	e	e	PROPN
bracis-19040	358	34	\cap	\cap	PROPN
bracis-19040	358	35	\mathcal	\mathcal	PROPN
bracis-19040	358	36	a_1\	a_1\	PROPN
bracis-19040	358	37	)	)	PUNCT
bracis-19040	358	38	.	.	PUNCT
bracis-19040	359	1	thus	thus	ADV
bracis-19040	359	2	,	,	PUNCT
bracis-19040	359	3	\(\phi	\(\phi	ADJ
bracis-19040	359	4	\in	\in	ADJ
bracis-19040	359	5	\mathtt	\mathtt	PROPN
bracis-19040	359	6	{	{	PUNCT
bracis-19040	359	7	concs}(e	concs}(e	PROPN
bracis-19040	359	8	\cap	\cap	PROPN
bracis-19040	359	9	\mathcal	\mathcal	PROPN
bracis-19040	359	10	a_1)\	a_1)\	PROPN
bracis-19040	359	11	)	)	PUNCT
bracis-19040	359	12	.	.	PUNCT
bracis-19040	359	13	   	   	SPACE
bracis-19040	360	1	\(\square	\(\square	VERB
bracis-19040	360	2	\	\	NOUN
bracis-19040	360	3	)	)	PUNCT
bracis-19040	361	1	lemmas	lemma	VERB
bracis-19040	361	2	3	3	NUM
bracis-19040	361	3	and	and	CCONJ
bracis-19040	361	4	4	4	NUM
bracis-19040	361	5	will	will	AUX
bracis-19040	361	6	be	be	AUX
bracis-19040	361	7	used	use	VERB
bracis-19040	361	8	as	as	ADP
bracis-19040	361	9	intermediate	intermediate	ADJ
bracis-19040	361	10	steps	step	NOUN
bracis-19040	361	11	in	in	ADP
bracis-19040	361	12	the	the	DET
bracis-19040	361	13	demonstration	demonstration	NOUN
bracis-19040	361	14	of	of	ADP
bracis-19040	361	15	lemma	lemma	PROPN
bracis-19040	361	16	5	5	NUM
bracis-19040	361	17	.	.	PUNCT
bracis-19040	362	1	lemma	lemma	PROPN
bracis-19040	362	2	3	3	NUM
bracis-19040	362	3	expresses	express	VERB
bracis-19040	362	4	the	the	DET
bracis-19040	362	5	function	function	NOUN
bracis-19040	362	6	\(f	\(f	X
bracis-19040	362	7	_	_	PRON
bracis-19040	362	8	{	{	PUNCT
bracis-19040	362	9	af	af	PROPN
bracis-19040	362	10	_	_	NOUN
bracis-19040	362	11	1}\	1}\	NUM
bracis-19040	362	12	)	)	PUNCT
bracis-19040	362	13	associated	associate	VERB
bracis-19040	362	14	with	with	ADP
bracis-19040	362	15	the	the	DET
bracis-19040	362	16	subframework	subframework	NOUN
bracis-19040	362	17	\	\	PROPN
bracis-19040	362	18	(	(	PUNCT
bracis-19040	362	19	af	af	X
bracis-19040	362	20	_	_	NOUN
bracis-19040	362	21	1\	1\	NUM
bracis-19040	362	22	)	)	PUNCT
bracis-19040	362	23	in	in	ADP
bracis-19040	362	24	terms	term	NOUN
bracis-19040	362	25	of	of	ADP
bracis-19040	362	26	the	the	DET
bracis-19040	362	27	function	function	NOUN
bracis-19040	362	28	\(f	\(f	X
bracis-19040	362	29	_	_	NOUN
bracis-19040	362	30	af	af	NOUN
bracis-19040	362	31	\	\	NOUN
bracis-19040	362	32	)	)	PUNCT
bracis-19040	362	33	associated	associate	VERB
bracis-19040	362	34	with	with	ADP
bracis-19040	362	35	\	\	PROPN
bracis-19040	362	36	(	(	PUNCT
bracis-19040	362	37	af	af	PROPN
bracis-19040	362	38	\	\	PROPN
bracis-19040	362	39	):	):	PUNCT
bracis-19040	362	40	lemma	lemma	PROPN
bracis-19040	362	41	3	3	NUM
bracis-19040	362	42	let	let	VERB
bracis-19040	362	43	\	\	PROPN
bracis-19040	362	44	(	(	PUNCT
bracis-19040	362	45	at	at	ADP
bracis-19040	362	46	=	=	PUNCT
bracis-19040	362	47	at	at	ADP
bracis-19040	362	48	_	_	NOUN
bracis-19040	362	49	1	1	NUM
bracis-19040	362	50	\cup	\cup	NOUN
bracis-19040	362	51	at	at	ADP
bracis-19040	362	52	_	_	NOUN
bracis-19040	362	53	2\	2\	NUM
bracis-19040	362	54	)	)	PUNCT
bracis-19040	362	55	for	for	ADP
bracis-19040	362	56	syntactically	syntactically	ADV
bracis-19040	362	57	disjoint	disjoint	VERB
bracis-19040	362	58	argumentation	argumentation	NOUN
bracis-19040	362	59	theories	theory	NOUN
bracis-19040	362	60	\	\	PROPN
bracis-19040	362	61	(	(	PUNCT
bracis-19040	362	62	at	at	ADP
bracis-19040	362	63	_	_	NOUN
bracis-19040	362	64	1\	1\	NUM
bracis-19040	362	65	)	)	PUNCT
bracis-19040	362	66	and	and	CCONJ
bracis-19040	362	67	\	\	PROPN
bracis-19040	362	68	(	(	PUNCT
bracis-19040	362	69	at	at	ADP
bracis-19040	362	70	_	_	NOUN
bracis-19040	362	71	2\	2\	NUM
bracis-19040	362	72	)	)	PUNCT
bracis-19040	362	73	,	,	PUNCT
bracis-19040	362	74	and	and	CCONJ
bracis-19040	362	75	\	\	PROPN
bracis-19040	362	76	(	(	PUNCT
bracis-19040	362	77	af	af	PROPN
bracis-19040	362	78	=	=	SYM
bracis-19040	362	79	(	(	PUNCT
bracis-19040	362	80	\mathcal	\mathcal	PROPN
bracis-19040	362	81	a	a	X
bracis-19040	362	82	,	,	PUNCT
bracis-19040	362	83	\mathcal	\mathcal	PROPN
bracis-19040	362	84	d	d	NOUN
bracis-19040	362	85	,	,	PUNCT
bracis-19040	362	86	\mathcal	\mathcal	PROPN
bracis-19040	362	87	d')\	d')\	NOUN
bracis-19040	362	88	)	)	PUNCT
bracis-19040	362	89	and	and	CCONJ
bracis-19040	362	90	\	\	PROPN
bracis-19040	362	91	(	(	PUNCT
bracis-19040	362	92	af	af	X
bracis-19040	362	93	_	_	NOUN
bracis-19040	362	94	1	1	X
bracis-19040	362	95	=	=	SYM
bracis-19040	362	96	(	(	PUNCT
bracis-19040	362	97	\mathcal	\mathcal	PROPN
bracis-19040	362	98	a_1	a_1	NOUN
bracis-19040	362	99	,	,	PUNCT
bracis-19040	362	100	\mathcal	\mathcal	PROPN
bracis-19040	362	101	d_1	d_1	PROPN
bracis-19040	362	102	,	,	PUNCT
bracis-19040	362	103	\mathcal	\mathcal	PROPN
bracis-19040	362	104	d'_1)\	d'_1)\	PROPN
bracis-19040	362	105	)	)	PUNCT
bracis-19040	362	106	be	be	VERB
bracis-19040	362	107	respectively	respectively	ADV
bracis-19040	362	108	the	the	DET
bracis-19040	362	109	resulting	result	VERB
bracis-19040	362	110	inconsistency	inconsistency	NOUN
bracis-19040	362	111	-	-	PUNCT
bracis-19040	362	112	cleaned	clean	VERB
bracis-19040	362	113	\	\	PROPN
bracis-19040	362	114	(	(	PUNCT
bracis-19040	362	115	af	af	X
bracis-19040	362	116	_	_	NOUN
bracis-19040	362	117	2\)s	2\)s	NUM
bracis-19040	362	118	from	from	ADP
bracis-19040	362	119	\	\	PROPN
bracis-19040	362	120	(	(	PUNCT
bracis-19040	362	121	at	at	ADP
bracis-19040	362	122	\	\	NOUN
bracis-19040	362	123	)	)	PUNCT
bracis-19040	362	124	and	and	CCONJ
bracis-19040	362	125	\	\	PROPN
bracis-19040	362	126	(	(	PUNCT
bracis-19040	362	127	at	at	ADP
bracis-19040	362	128	_	_	NOUN
bracis-19040	362	129	1\	1\	NUM
bracis-19040	362	130	)	)	PUNCT
bracis-19040	362	131	.	.	PUNCT
bracis-19040	363	1	for	for	ADP
bracis-19040	363	2	any	any	DET
bracis-19040	363	3	set	set	NOUN
bracis-19040	363	4	of	of	ADP
bracis-19040	363	5	arguments	argument	NOUN
bracis-19040	363	6	\(s	\(s	VERB
bracis-19040	363	7	\subseteq	\subseteq	PROPN
bracis-19040	363	8	\mathcal	\mathcal	PROPN
bracis-19040	363	9	a_1\	a_1\	PROPN
bracis-19040	363	10	)	)	PUNCT
bracis-19040	363	11	,	,	PUNCT
bracis-19040	363	12	\(f	\(f	X
bracis-19040	363	13	_	_	DET
bracis-19040	363	14	{	{	PUNCT
bracis-19040	363	15	af	af	X
bracis-19040	363	16	_	_	NOUN
bracis-19040	363	17	1}(s	1}(s	NUM
bracis-19040	363	18	)	)	PUNCT
bracis-19040	364	1	=	=	PUNCT
bracis-19040	365	1	f	f	X
bracis-19040	365	2	_	_	PUNCT
bracis-19040	365	3	{	{	PUNCT
bracis-19040	365	4	af	af	PROPN
bracis-19040	365	5	}	}	PUNCT
bracis-19040	365	6	(	(	PUNCT
bracis-19040	365	7	s	s	NOUN
bracis-19040	365	8	)	)	PUNCT
bracis-19040	365	9	\cap	\cap	PROPN
bracis-19040	365	10	\mathcal	\mathcal	PROPN
bracis-19040	365	11	a_1\	a_1\	PROPN
bracis-19040	365	12	)	)	PUNCT
bracis-19040	365	13	.	.	PUNCT
bracis-19040	366	1	proof	proof	NOUN
bracis-19040	366	2	\(f	\(f	X
bracis-19040	366	3	_	_	PUNCT
bracis-19040	366	4	{	{	PUNCT
bracis-19040	366	5	af	af	X
bracis-19040	366	6	_	_	NOUN
bracis-19040	366	7	1}(s	1}(s	NUM
bracis-19040	366	8	)	)	PUNCT
bracis-19040	367	1	\subseteq	\subseteq	PROPN
bracis-19040	367	2	f	f	X
bracis-19040	367	3	_	_	PRON
bracis-19040	367	4	{	{	PUNCT
bracis-19040	367	5	af	af	PROPN
bracis-19040	367	6	}	}	PUNCT
bracis-19040	367	7	(	(	PUNCT
bracis-19040	367	8	s	s	NOUN
bracis-19040	367	9	)	)	PUNCT
bracis-19040	367	10	\cap	\cap	PROPN
bracis-19040	367	11	\mathcal	\mathcal	PROPN
bracis-19040	367	12	a_1\	a_1\	PROPN
bracis-19040	367	13	)	)	PUNCT
bracis-19040	367	14	.	.	PUNCT
bracis-19040	368	1	if	if	SCONJ
bracis-19040	368	2	\(a	\(a	ADJ
bracis-19040	368	3	\in	\in	PROPN
bracis-19040	368	4	f	f	PROPN
bracis-19040	368	5	_	_	PROPN
bracis-19040	368	6	{	{	PUNCT
bracis-19040	368	7	af	af	X
bracis-19040	368	8	_	_	NOUN
bracis-19040	368	9	1}(s)\	1}(s)\	NUM
bracis-19040	368	10	)	)	PUNCT
bracis-19040	368	11	,	,	PUNCT
bracis-19040	368	12	then	then	ADV
bracis-19040	368	13	\(a	\(a	PROPN
bracis-19040	368	14	\in	\in	PROPN
bracis-19040	368	15	\mathcal	\mathcal	PROPN
bracis-19040	368	16	a_1\	a_1\	PROPN
bracis-19040	368	17	)	)	PUNCT
bracis-19040	368	18	.	.	PUNCT
bracis-19040	369	1	it	it	PRON
bracis-19040	369	2	remains	remain	VERB
bracis-19040	369	3	to	to	PART
bracis-19040	369	4	prove	prove	VERB
bracis-19040	369	5	\(a	\(a	ADJ
bracis-19040	369	6	\in	\in	PROPN
bracis-19040	370	1	f	f	PROPN
bracis-19040	370	2	_	_	PROPN
bracis-19040	370	3	{	{	PUNCT
bracis-19040	370	4	af	af	PROPN
bracis-19040	370	5	}	}	PUNCT
bracis-19040	370	6	(	(	PUNCT
bracis-19040	370	7	s)\	s)\	NOUN
bracis-19040	370	8	):	):	PUNCT
bracis-19040	370	9	let	let	VERB
bracis-19040	370	10	\(b	\(b	PROPN
bracis-19040	370	11	\in	\in	PROPN
bracis-19040	370	12	\mathcal	\mathcal	PROPN
bracis-19040	370	13	a\	a\	PROPN
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bracis-19040	370	15	s.t	s.t	PROPN
bracis-19040	370	16	.	.	PROPN
bracis-19040	370	17	\((b	\((b	PROPN
bracis-19040	370	18	,	,	PUNCT
bracis-19040	370	19	a	a	DET
bracis-19040	370	20	)	)	PUNCT
bracis-19040	370	21	\in	\in	PROPN
bracis-19040	371	1	\mathcal	\mathcal	PROPN
bracis-19040	371	2	d	d	PROPN
bracis-19040	371	3	\cup	\cup	PROPN
bracis-19040	371	4	\mathcal	\mathcal	PROPN
bracis-19040	371	5	d'\	d'\	PROPN
bracis-19040	371	6	)	)	PUNCT
bracis-19040	371	7	.	.	PUNCT
bracis-19040	372	1	it	it	PRON
bracis-19040	372	2	means	mean	VERB
bracis-19040	372	3	\(\texttt	\(\texttt	NOUN
bracis-19040	372	4	{	{	PUNCT
bracis-19040	372	5	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	372	6	{	{	PUNCT
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bracis-19040	372	8	)	)	PUNCT
bracis-19040	372	9	)	)	PUNCT
bracis-19040	373	1	\subseteq	\subseteq	PROPN
bracis-19040	373	2	\texttt	\texttt	PROPN
bracis-19040	373	3	{	{	PUNCT
bracis-19040	373	4	atoms	atom	NOUN
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bracis-19040	373	6	(	(	PUNCT
bracis-19040	373	7	at	at	ADP
bracis-19040	373	8	_	_	NOUN
bracis-19040	373	9	1)\	1)\	NUM
bracis-19040	373	10	)	)	PUNCT
bracis-19040	373	11	.	.	PUNCT
bracis-19040	374	1	by	by	ADP
bracis-19040	374	2	lemma	lemma	PROPN
bracis-19040	374	3	1	1	NUM
bracis-19040	374	4	,	,	PUNCT
bracis-19040	374	5	\(\exists	\(\exist	NOUN
bracis-19040	374	6	b	b	X
bracis-19040	374	7	'	'	PUNCT
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bracis-19040	374	9	\mathcal	\mathcal	PROPN
bracis-19040	374	10	a_1\	a_1\	PROPN
bracis-19040	374	11	)	)	PUNCT
bracis-19040	374	12	s.t	s.t	PROPN
bracis-19040	374	13	.	.	PROPN
bracis-19040	374	14	\(\mathtt	\(\mathtt	VERB
bracis-19040	374	15	{	{	PUNCT
bracis-19040	374	16	conc}(b	conc}(b	NOUN
bracis-19040	374	17	'	'	PUNCT
bracis-19040	374	18	)	)	PUNCT
bracis-19040	375	1	=	=	SYM
bracis-19040	375	2	\mathtt	\mathtt	X
bracis-19040	375	3	{	{	PUNCT
bracis-19040	375	4	conc}(b)\	conc}(b)\	NOUN
bracis-19040	375	5	)	)	PUNCT
bracis-19040	375	6	and	and	CCONJ
bracis-19040	375	7	\(b'^\subseteq	\(b'^\subseteq	PROPN
bracis-19040	375	8	b^-\	b^-\	NOUN
bracis-19040	375	9	)	)	PUNCT
bracis-19040	375	10	.	.	PUNCT
bracis-19040	376	1	thus	thus	ADV
bracis-19040	376	2	,	,	PUNCT
bracis-19040	376	3	\((b',a	\((b',a	NOUN
bracis-19040	376	4	)	)	PUNCT
bracis-19040	376	5	\in	\in	PROPN
bracis-19040	377	1	\mathcal	\mathcal	PROPN
bracis-19040	377	2	d	d	PROPN
bracis-19040	377	3	\cup	\cup	PROPN
bracis-19040	377	4	\mathcal	\mathcal	PROPN
bracis-19040	377	5	d'\	d'\	PROPN
bracis-19040	377	6	)	)	PUNCT
bracis-19040	377	7	.	.	PUNCT
bracis-19040	378	1	as	as	ADP
bracis-19040	378	2	\(a	\(a	PROPN
bracis-19040	378	3	\in	\in	PROPN
bracis-19040	378	4	f	f	PROPN
bracis-19040	378	5	_	_	PROPN
bracis-19040	378	6	{	{	PUNCT
bracis-19040	378	7	af	af	X
bracis-19040	378	8	_	_	NOUN
bracis-19040	378	9	1}(s)\	1}(s)\	NUM
bracis-19040	378	10	)	)	PUNCT
bracis-19040	378	11	,	,	PUNCT
bracis-19040	378	12	\(\exists	\(\exists	PROPN
bracis-19040	378	13	c	c	PROPN
bracis-19040	378	14	\in	\in	PROPN
bracis-19040	378	15	s\	s\	PROPN
bracis-19040	378	16	)	)	PUNCT
bracis-19040	378	17	s.t	s.t	PROPN
bracis-19040	378	18	.	.	PUNCT
bracis-19040	378	19	\	\	PROPN
bracis-19040	378	20	(	(	PUNCT
bracis-19040	378	21	df	df	PROPN
bracis-19040	378	22	(	(	PUNCT
bracis-19040	378	23	c	c	NOUN
bracis-19040	378	24	,	,	PUNCT
bracis-19040	378	25	a	a	PRON
bracis-19040	378	26	,	,	PUNCT
bracis-19040	378	27	b')\	b')\	NOUN
bracis-19040	378	28	)	)	PUNCT
bracis-19040	378	29	.	.	PUNCT
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bracis-19040	379	2	\(b'^\subseteq	\(b'^\subseteq	PROPN
bracis-19040	379	3	b^-\	b^-\	NOUN
bracis-19040	379	4	)	)	PUNCT
bracis-19040	379	5	,	,	PUNCT
bracis-19040	379	6	\((c	\((c	PROPN
bracis-19040	379	7	,	,	PUNCT
bracis-19040	379	8	b	b	NOUN
bracis-19040	379	9	)	)	PUNCT
bracis-19040	379	10	\in	\in	PROPN
bracis-19040	379	11	\mathcal	\mathcal	PROPN
bracis-19040	379	12	d	d	PROPN
bracis-19040	379	13	\cup	\cup	PROPN
bracis-19040	379	14	\mathcal	\mathcal	PROPN
bracis-19040	379	15	d'\	d'\	PROPN
bracis-19040	379	16	)	)	PUNCT
bracis-19040	379	17	.	.	PUNCT
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bracis-19040	380	2	follows	follow	VERB
bracis-19040	380	3	\(a	\(a	NOUN
bracis-19040	380	4	\in	\in	PROPN
bracis-19040	380	5	f	f	PROPN
bracis-19040	380	6	_	_	PROPN
bracis-19040	380	7	{	{	PUNCT
bracis-19040	380	8	af	af	PROPN
bracis-19040	380	9	}	}	PUNCT
bracis-19040	380	10	(	(	PUNCT
bracis-19040	380	11	s)\	s)\	NOUN
bracis-19040	380	12	)	)	PUNCT
bracis-19040	380	13	.	.	PUNCT
bracis-19040	381	1	thus	thus	ADV
bracis-19040	381	2	\(a	\(a	ADJ
bracis-19040	381	3	\in	\in	PROPN
bracis-19040	381	4	f	f	PROPN
bracis-19040	381	5	_	_	PROPN
bracis-19040	381	6	{	{	PUNCT
bracis-19040	381	7	af	af	PROPN
bracis-19040	381	8	}	}	PUNCT
bracis-19040	381	9	(	(	PUNCT
bracis-19040	381	10	s	s	NOUN
bracis-19040	381	11	)	)	PUNCT
bracis-19040	381	12	\cap	\cap	PROPN
bracis-19040	381	13	\mathcal	\mathcal	PROPN
bracis-19040	381	14	a_1\	a_1\	PROPN
bracis-19040	381	15	)	)	PUNCT
bracis-19040	381	16	.	.	PUNCT
bracis-19040	382	1	\(f	\(f	X
bracis-19040	382	2	_	_	DET
bracis-19040	382	3	{	{	PUNCT
bracis-19040	382	4	af	af	NOUN
bracis-19040	382	5	}	}	PUNCT
bracis-19040	382	6	(	(	PUNCT
bracis-19040	382	7	s	s	NOUN
bracis-19040	382	8	)	)	PUNCT
bracis-19040	382	9	\cap	\cap	PROPN
bracis-19040	382	10	\mathcal	\mathcal	PROPN
bracis-19040	382	11	a_1	a_1	NOUN
bracis-19040	382	12	\subseteq	\subseteq	PROPN
bracis-19040	382	13	f	f	X
bracis-19040	382	14	_	_	PUNCT
bracis-19040	382	15	{	{	PUNCT
bracis-19040	382	16	af	af	X
bracis-19040	382	17	_	_	NOUN
bracis-19040	382	18	1}(s)\	1}(s)\	NUM
bracis-19040	382	19	)	)	PUNCT
bracis-19040	382	20	.	.	PUNCT
bracis-19040	383	1	let	let	VERB
bracis-19040	383	2	\(a	\(a	NOUN
bracis-19040	383	3	\in	\in	PROPN
bracis-19040	383	4	f	f	PROPN
bracis-19040	383	5	_	_	PROPN
bracis-19040	383	6	{	{	PUNCT
bracis-19040	383	7	af	af	PROPN
bracis-19040	383	8	}	}	PUNCT
bracis-19040	383	9	(	(	PUNCT
bracis-19040	383	10	s	s	NOUN
bracis-19040	383	11	)	)	PUNCT
bracis-19040	383	12	\cap	\cap	PROPN
bracis-19040	383	13	\mathcal	\mathcal	PROPN
bracis-19040	383	14	a_1\	a_1\	PROPN
bracis-19040	383	15	)	)	PUNCT
bracis-19040	383	16	.	.	PUNCT
bracis-19040	384	1	it	it	PRON
bracis-19040	384	2	means	mean	VERB
bracis-19040	384	3	that	that	SCONJ
bracis-19040	384	4	\(\forall	\(\forall	ADV
bracis-19040	384	5	b	b	X
bracis-19040	384	6	\in	\in	PROPN
bracis-19040	384	7	\mathcal	\mathcal	PROPN
bracis-19040	384	8	a\	a\	NOUN
bracis-19040	384	9	)	)	PUNCT
bracis-19040	384	10	such	such	ADJ
bracis-19040	384	11	that	that	PRON
bracis-19040	384	12	\((b	\((b	NOUN
bracis-19040	384	13	,	,	PUNCT
bracis-19040	384	14	a	a	DET
bracis-19040	384	15	)	)	PUNCT
bracis-19040	384	16	\in	\in	PROPN
bracis-19040	384	17	\mathcal	\mathcal	PROPN
bracis-19040	384	18	d	d	PROPN
bracis-19040	384	19	\cup	\cup	PROPN
bracis-19040	384	20	\mathcal	\mathcal	PROPN
bracis-19040	384	21	d'\	d'\	PROPN
bracis-19040	384	22	)	)	PUNCT
bracis-19040	384	23	,	,	PUNCT
bracis-19040	384	24	\(\exists	\(\exists	PROPN
bracis-19040	384	25	c	c	PROPN
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bracis-19040	384	27	s\	s\	NOUN
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bracis-19040	384	29	such	such	ADJ
bracis-19040	384	30	that	that	SCONJ
bracis-19040	384	31	\	\	PROPN
bracis-19040	384	32	(	(	PUNCT
bracis-19040	384	33	df	df	PROPN
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bracis-19040	384	35	c	c	NOUN
bracis-19040	384	36	,	,	PUNCT
bracis-19040	384	37	a	a	PRON
bracis-19040	384	38	,	,	PUNCT
bracis-19040	384	39	b)\	b)\	NOUN
bracis-19040	384	40	)	)	PUNCT
bracis-19040	384	41	.	.	PUNCT
bracis-19040	385	1	as	as	ADP
bracis-19040	385	2	\(\mathcal	\(\mathcal	ADJ
bracis-19040	385	3	d_1	d_1	NOUN
bracis-19040	385	4	\cup	\cup	NOUN
bracis-19040	385	5	\mathcal	\mathcal	PROPN
bracis-19040	385	6	d'_1	d'_1	PROPN
bracis-19040	385	7	\subseteq	\subseteq	PROPN
bracis-19040	385	8	\mathcal	\mathcal	PROPN
bracis-19040	385	9	d	d	PROPN
bracis-19040	385	10	\cup	\cup	PROPN
bracis-19040	385	11	\mathcal	\mathcal	PROPN
bracis-19040	385	12	d'\	d'\	PROPN
bracis-19040	385	13	)	)	PUNCT
bracis-19040	385	14	,	,	PUNCT
bracis-19040	385	15	it	it	PRON
bracis-19040	385	16	follows	follow	VERB
bracis-19040	385	17	\(\forall	\(\forall	ADV
bracis-19040	385	18	b	b	X
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bracis-19040	385	20	\mathcal	\mathcal	PROPN
bracis-19040	385	21	a_1\	a_1\	NOUN
bracis-19040	385	22	)	)	PUNCT
bracis-19040	385	23	such	such	ADJ
bracis-19040	385	24	that	that	PRON
bracis-19040	385	25	\((b	\((b	NOUN
bracis-19040	385	26	,	,	PUNCT
bracis-19040	385	27	a	a	DET
bracis-19040	385	28	)	)	PUNCT
bracis-19040	385	29	\in	\in	PROPN
bracis-19040	385	30	\mathcal	\mathcal	PROPN
bracis-19040	385	31	d_1	d_1	PROPN
bracis-19040	385	32	\cup	\cup	PROPN
bracis-19040	385	33	\mathcal	\mathcal	PROPN
bracis-19040	385	34	d_1'\	d_1'\	PROPN
bracis-19040	385	35	)	)	PUNCT
bracis-19040	385	36	,	,	PUNCT
bracis-19040	385	37	\(\exists	\(\exists	PROPN
bracis-19040	385	38	c	c	PROPN
bracis-19040	385	39	\in	\in	PROPN
bracis-19040	385	40	s\	s\	NOUN
bracis-19040	385	41	)	)	PUNCT
bracis-19040	385	42	such	such	ADJ
bracis-19040	385	43	that	that	SCONJ
bracis-19040	385	44	\	\	PROPN
bracis-19040	385	45	(	(	PUNCT
bracis-19040	385	46	df	df	PROPN
bracis-19040	385	47	(	(	PUNCT
bracis-19040	385	48	c	c	NOUN
bracis-19040	385	49	,	,	PUNCT
bracis-19040	385	50	a	a	PRON
bracis-19040	385	51	,	,	PUNCT
bracis-19040	385	52	b)\	b)\	NOUN
bracis-19040	385	53	)	)	PUNCT
bracis-19040	385	54	.	.	PUNCT
bracis-19040	386	1	then	then	ADV
bracis-19040	386	2	\(a	\(a	NOUN
bracis-19040	386	3	\in	\in	PROPN
bracis-19040	386	4	f	f	PROPN
bracis-19040	386	5	_	_	PROPN
bracis-19040	386	6	{	{	PUNCT
bracis-19040	386	7	af	af	X
bracis-19040	386	8	_	_	NOUN
bracis-19040	386	9	1}(s)\	1}(s)\	NUM
bracis-19040	386	10	)	)	PUNCT
bracis-19040	386	11	.	.	PUNCT
bracis-19040	386	12	   	   	SPACE
bracis-19040	386	13	\(\square	\(\square	VERB
bracis-19040	386	14	\	\	NOUN
bracis-19040	386	15	)	)	PUNCT
bracis-19040	386	16	by	by	ADP
bracis-19040	386	17	lemma	lemma	PROPN
bracis-19040	386	18	4	4	NUM
bracis-19040	386	19	(	(	PUNCT
bracis-19040	386	20	employed	employ	VERB
bracis-19040	386	21	in	in	ADP
bracis-19040	386	22	lemma	lemma	PROPN
bracis-19040	386	23	5	5	NUM
bracis-19040	386	24	)	)	PUNCT
bracis-19040	386	25	,	,	PUNCT
bracis-19040	386	26	if	if	SCONJ
bracis-19040	386	27	an	an	DET
bracis-19040	386	28	argument	argument	NOUN
bracis-19040	386	29	a	a	PRON
bracis-19040	386	30	is	be	AUX
bracis-19040	386	31	attacked	attack	VERB
bracis-19040	386	32	by	by	ADP
bracis-19040	386	33	a	a	DET
bracis-19040	386	34	set	set	NOUN
bracis-19040	386	35	of	of	ADP
bracis-19040	386	36	arguments	argument	NOUN
bracis-19040	386	37	that	that	PRON
bracis-19040	386	38	also	also	ADV
bracis-19040	386	39	attack	attack	VERB
bracis-19040	386	40	arguments	argument	NOUN
bracis-19040	386	41	in	in	ADP
bracis-19040	386	42	a	a	DET
bracis-19040	386	43	complete	complete	ADJ
bracis-19040	386	44	extension	extension	NOUN
bracis-19040	386	45	e	e	NOUN
bracis-19040	386	46	,	,	PUNCT
bracis-19040	386	47	then	then	ADV
bracis-19040	386	48	\(a	\(a	PROPN
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bracis-19040	386	50	e\	e\	PROPN
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bracis-19040	386	52	.	.	PUNCT
bracis-19040	387	1	lemma	lemma	PROPN
bracis-19040	387	2	4	4	NUM
bracis-19040	387	3	let	let	VERB
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bracis-19040	387	6	af	af	PROPN
bracis-19040	387	7	=	=	SYM
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bracis-19040	387	9	\mathcal	\mathcal	PROPN
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bracis-19040	387	12	\mathcal	\mathcal	PROPN
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bracis-19040	387	14	,	,	PUNCT
bracis-19040	387	15	\mathcal	\mathcal	PROPN
bracis-19040	387	16	d')\	d')\	NOUN
bracis-19040	387	17	)	)	PUNCT
bracis-19040	387	18	be	be	VERB
bracis-19040	387	19	the	the	DET
bracis-19040	387	20	\	\	PROPN
bracis-19040	387	21	(	(	PUNCT
bracis-19040	387	22	af	af	X
bracis-19040	387	23	_	_	NOUN
bracis-19040	387	24	2\	2\	NUM
bracis-19040	387	25	)	)	PUNCT
bracis-19040	387	26	resulting	result	VERB
bracis-19040	387	27	from	from	ADP
bracis-19040	387	28	an	an	DET
bracis-19040	387	29	argumentation	argumentation	NOUN
bracis-19040	387	30	theory	theory	NOUN
bracis-19040	387	31	\	\	PROPN
bracis-19040	387	32	(	(	PUNCT
bracis-19040	387	33	at	at	ADP
bracis-19040	387	34	\	\	NOUN
bracis-19040	387	35	)	)	PUNCT
bracis-19040	387	36	.	.	PUNCT
bracis-19040	388	1	let	let	VERB
bracis-19040	388	2	\	\	PROPN
bracis-19040	388	3	(	(	PUNCT
bracis-19040	388	4	af	af	X
bracis-19040	388	5	_	_	PUNCT
bracis-19040	388	6	c	c	X
bracis-19040	388	7	=	=	SYM
bracis-19040	388	8	(	(	PUNCT
bracis-19040	388	9	\mathcal	\mathcal	PROPN
bracis-19040	388	10	a_c	a_c	PROPN
bracis-19040	388	11	,	,	PUNCT
bracis-19040	388	12	\mathcal	\mathcal	PROPN
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bracis-19040	388	14	,	,	PUNCT
bracis-19040	388	15	\mathcal	\mathcal	PROPN
bracis-19040	388	16	d'_c)\	d'_c)\	NOUN
bracis-19040	388	17	)	)	PUNCT
bracis-19040	388	18	be	be	VERB
bracis-19040	388	19	the	the	DET
bracis-19040	388	20	inconsistency	inconsistency	NOUN
bracis-19040	388	21	-	-	PUNCT
bracis-19040	388	22	cleaned	clean	VERB
bracis-19040	388	23	\	\	PROPN
bracis-19040	388	24	(	(	PUNCT
bracis-19040	388	25	af	af	X
bracis-19040	388	26	_	_	NOUN
bracis-19040	388	27	2\	2\	NUM
bracis-19040	388	28	)	)	PUNCT
bracis-19040	388	29	.	.	PUNCT
bracis-19040	389	1	let	let	VERB
bracis-19040	389	2	e	e	PRON
bracis-19040	389	3	be	be	AUX
bracis-19040	389	4	a	a	DET
bracis-19040	389	5	complete	complete	ADJ
bracis-19040	389	6	extension	extension	NOUN
bracis-19040	389	7	of	of	ADP
bracis-19040	389	8	\	\	PROPN
bracis-19040	389	9	(	(	PUNCT
bracis-19040	389	10	af	af	X
bracis-19040	389	11	_	_	NOUN
bracis-19040	389	12	c\	c\	NOUN
bracis-19040	389	13	)	)	PUNCT
bracis-19040	389	14	,	,	PUNCT
bracis-19040	389	15	\(s	\(s	VERB
bracis-19040	389	16	\subseteq	\subseteq	PROPN
bracis-19040	389	17	e\	e\	NOUN
bracis-19040	389	18	)	)	PUNCT
bracis-19040	389	19	and	and	CCONJ
bracis-19040	389	20	\(a	\(a	PROPN
bracis-19040	389	21	\in	\in	PROPN
bracis-19040	389	22	\mathcal	\mathcal	PROPN
bracis-19040	389	23	a\	a\	NOUN
bracis-19040	389	24	)	)	PUNCT
bracis-19040	389	25	.	.	PUNCT
bracis-19040	390	1	if	if	SCONJ
bracis-19040	390	2	a	a	PRON
bracis-19040	390	3	is	be	AUX
bracis-19040	390	4	consistent	consistent	ADJ
bracis-19040	390	5	and	and	CCONJ
bracis-19040	390	6	\(a^\subseteq	\(a^\subseteq	PROPN
bracis-19040	390	7	s^-\	s^-\	NOUN
bracis-19040	390	8	)	)	PUNCT
bracis-19040	390	9	,	,	PUNCT
bracis-19040	390	10	then	then	ADV
bracis-19040	390	11	\(a	\(a	PROPN
bracis-19040	390	12	\in	\in	PROPN
bracis-19040	390	13	e\	e\	PROPN
bracis-19040	390	14	)	)	PUNCT
bracis-19040	390	15	.	.	PUNCT
bracis-19040	391	1	proof	proof	NOUN
bracis-19040	391	2	suppose	suppose	VERB
bracis-19040	391	3	a	a	PRON
bracis-19040	391	4	is	be	AUX
bracis-19040	391	5	consistent	consistent	ADJ
bracis-19040	391	6	.	.	PUNCT
bracis-19040	392	1	it	it	PRON
bracis-19040	392	2	follows	follow	VERB
bracis-19040	392	3	\(a	\(a	PROPN
bracis-19040	392	4	\in	\in	PROPN
bracis-19040	392	5	\mathcal	\mathcal	PROPN
bracis-19040	392	6	a_c\	a_c\	NOUN
bracis-19040	392	7	)	)	PUNCT
bracis-19040	392	8	.	.	PUNCT
bracis-19040	393	1	as	as	SCONJ
bracis-19040	393	2	e	e	PROPN
bracis-19040	393	3	is	be	AUX
bracis-19040	393	4	a	a	DET
bracis-19040	393	5	complete	complete	ADJ
bracis-19040	393	6	extension	extension	NOUN
bracis-19040	393	7	of	of	ADP
bracis-19040	393	8	\	\	PROPN
bracis-19040	393	9	(	(	PUNCT
bracis-19040	393	10	af	af	PROPN
bracis-19040	393	11	\	\	PROPN
bracis-19040	393	12	)	)	PUNCT
bracis-19040	393	13	,	,	PUNCT
bracis-19040	393	14	\(\forall	\(\forall	ADV
bracis-19040	393	15	b	b	X
bracis-19040	393	16	\in	\in	ADJ
bracis-19040	393	17	s\	s\	NOUN
bracis-19040	393	18	)	)	PUNCT
bracis-19040	393	19	,	,	PUNCT
bracis-19040	393	20	\(b	\(b	ADP
bracis-19040	393	21	\in	\in	PROPN
bracis-19040	393	22	f	f	NOUN
bracis-19040	393	23	_	_	PRON
bracis-19040	393	24	{	{	PUNCT
bracis-19040	393	25	af	af	PROPN
bracis-19040	393	26	}	}	PUNCT
bracis-19040	393	27	(	(	PUNCT
bracis-19040	393	28	e)\	e)\	NOUN
bracis-19040	393	29	)	)	PUNCT
bracis-19040	393	30	.	.	PUNCT
bracis-19040	394	1	as	as	ADP
bracis-19040	394	2	\(a^\subseteq	\(a^\subseteq	PROPN
bracis-19040	394	3	s^-\	s^-\	PROPN
bracis-19040	394	4	)	)	PUNCT
bracis-19040	394	5	,	,	PUNCT
bracis-19040	394	6	it	it	PRON
bracis-19040	394	7	follows	follow	VERB
bracis-19040	394	8	\(a	\(a	NOUN
bracis-19040	394	9	\in	\in	PROPN
bracis-19040	394	10	f	f	PROPN
bracis-19040	394	11	_	_	PROPN
bracis-19040	394	12	{	{	PUNCT
bracis-19040	394	13	af	af	PROPN
bracis-19040	394	14	}	}	PUNCT
bracis-19040	394	15	(	(	PUNCT
bracis-19040	394	16	e	e	NOUN
bracis-19040	394	17	)	)	PUNCT
bracis-19040	394	18	=	=	PUNCT
bracis-19040	394	19	e\	e\	NOUN
bracis-19040	394	20	)	)	PUNCT
bracis-19040	394	21	.	.	PUNCT
bracis-19040	394	22	   	   	SPACE
bracis-19040	395	1	\(\square	\(\square	VERB
bracis-19040	395	2	\	\	NOUN
bracis-19040	395	3	)	)	PUNCT
bracis-19040	396	1	lemmas	lemma	VERB
bracis-19040	396	2	5	5	NUM
bracis-19040	396	3	assures	assure	VERB
bracis-19040	396	4	the	the	DET
bracis-19040	396	5	complete	complete	ADJ
bracis-19040	396	6	extensions	extension	NOUN
bracis-19040	396	7	of	of	ADP
bracis-19040	396	8	\	\	PROPN
bracis-19040	396	9	(	(	PUNCT
bracis-19040	396	10	af	af	PROPN
bracis-19040	396	11	\	\	PROPN
bracis-19040	396	12	)	)	PUNCT
bracis-19040	396	13	when	when	SCONJ
bracis-19040	396	14	restricted	restrict	VERB
bracis-19040	396	15	to	to	ADP
bracis-19040	396	16	the	the	DET
bracis-19040	396	17	arguments	argument	NOUN
bracis-19040	396	18	of	of	ADP
bracis-19040	396	19	its	its	PRON
bracis-19040	396	20	subframework	subframework	NOUN
bracis-19040	396	21	\	\	PROPN
bracis-19040	396	22	(	(	PUNCT
bracis-19040	396	23	af	af	X
bracis-19040	396	24	_	_	NOUN
bracis-19040	396	25	1\	1\	NUM
bracis-19040	396	26	)	)	PUNCT
bracis-19040	396	27	is	be	AUX
bracis-19040	396	28	a	a	DET
bracis-19040	396	29	complete	complete	ADJ
bracis-19040	396	30	extension	extension	NOUN
bracis-19040	396	31	of	of	ADP
bracis-19040	396	32	\	\	PROPN
bracis-19040	396	33	(	(	PUNCT
bracis-19040	396	34	af	af	X
bracis-19040	396	35	_	_	NOUN
bracis-19040	396	36	1\	1\	NUM
bracis-19040	396	37	):	):	PUNCT
bracis-19040	396	38	lemma	lemma	PROPN
bracis-19040	396	39	5	5	NUM
bracis-19040	396	40	let	let	VERB
bracis-19040	396	41	\	\	PROPN
bracis-19040	396	42	(	(	PUNCT
bracis-19040	396	43	at	at	ADP
bracis-19040	396	44	=	=	PUNCT
bracis-19040	396	45	at	at	ADP
bracis-19040	396	46	_	_	NOUN
bracis-19040	396	47	1	1	NUM
bracis-19040	396	48	\cup	\cup	NOUN
bracis-19040	396	49	at	at	ADP
bracis-19040	396	50	_	_	NOUN
bracis-19040	396	51	2\	2\	NUM
bracis-19040	396	52	)	)	PUNCT
bracis-19040	396	53	for	for	ADP
bracis-19040	396	54	syntactically	syntactically	ADV
bracis-19040	396	55	disjoint	disjoint	VERB
bracis-19040	396	56	argumentation	argumentation	NOUN
bracis-19040	396	57	theories	theory	NOUN
bracis-19040	396	58	\	\	PROPN
bracis-19040	396	59	(	(	PUNCT
bracis-19040	396	60	at	at	ADP
bracis-19040	396	61	_	_	NOUN
bracis-19040	396	62	1\	1\	NUM
bracis-19040	396	63	)	)	PUNCT
bracis-19040	396	64	and	and	CCONJ
bracis-19040	396	65	\	\	PROPN
bracis-19040	396	66	(	(	PUNCT
bracis-19040	396	67	at	at	ADP
bracis-19040	396	68	_	_	NOUN
bracis-19040	396	69	2\	2\	NUM
bracis-19040	396	70	)	)	PUNCT
bracis-19040	396	71	,	,	PUNCT
bracis-19040	396	72	and	and	CCONJ
bracis-19040	396	73	\	\	PROPN
bracis-19040	396	74	(	(	PUNCT
bracis-19040	396	75	af	af	PROPN
bracis-19040	396	76	=	=	SYM
bracis-19040	396	77	(	(	PUNCT
bracis-19040	396	78	\mathcal	\mathcal	PROPN
bracis-19040	396	79	a	a	X
bracis-19040	396	80	,	,	PUNCT
bracis-19040	396	81	\mathcal	\mathcal	PROPN
bracis-19040	396	82	d	d	NOUN
bracis-19040	396	83	,	,	PUNCT
bracis-19040	396	84	\mathcal	\mathcal	PROPN
bracis-19040	396	85	d')\	d')\	NOUN
bracis-19040	396	86	)	)	PUNCT
bracis-19040	396	87	and	and	CCONJ
bracis-19040	396	88	\	\	PROPN
bracis-19040	396	89	(	(	PUNCT
bracis-19040	396	90	af	af	X
bracis-19040	396	91	_	_	NOUN
bracis-19040	396	92	1	1	X
bracis-19040	396	93	=	=	SYM
bracis-19040	396	94	(	(	PUNCT
bracis-19040	396	95	\mathcal	\mathcal	PROPN
bracis-19040	396	96	a_1	a_1	NOUN
bracis-19040	396	97	,	,	PUNCT
bracis-19040	396	98	\mathcal	\mathcal	PROPN
bracis-19040	396	99	d_1	d_1	PROPN
bracis-19040	396	100	,	,	PUNCT
bracis-19040	396	101	\mathcal	\mathcal	PROPN
bracis-19040	396	102	d'_1)\	d'_1)\	PROPN
bracis-19040	396	103	)	)	PUNCT
bracis-19040	396	104	be	be	VERB
bracis-19040	396	105	the	the	DET
bracis-19040	396	106	inconsistency	inconsistency	NOUN
bracis-19040	396	107	-	-	PUNCT
bracis-19040	396	108	cleaned	clean	VERB
bracis-19040	396	109	\	\	PROPN
bracis-19040	396	110	(	(	PUNCT
bracis-19040	396	111	af	af	X
bracis-19040	396	112	_	_	NOUN
bracis-19040	396	113	2\)s	2\)s	NUM
bracis-19040	396	114	resulting	result	VERB
bracis-19040	396	115	from	from	ADP
bracis-19040	396	116	\	\	PROPN
bracis-19040	396	117	(	(	PUNCT
bracis-19040	396	118	at	at	ADP
bracis-19040	396	119	\	\	NOUN
bracis-19040	396	120	)	)	PUNCT
bracis-19040	396	121	and	and	CCONJ
bracis-19040	396	122	\	\	PROPN
bracis-19040	396	123	(	(	PUNCT
bracis-19040	396	124	at	at	ADP
bracis-19040	396	125	_	_	NOUN
bracis-19040	396	126	1\	1\	NUM
bracis-19040	396	127	)	)	PUNCT
bracis-19040	396	128	respectively	respectively	ADV
bracis-19040	396	129	.	.	PUNCT
bracis-19040	397	1	if	if	SCONJ
bracis-19040	397	2	e	e	PROPN
bracis-19040	397	3	is	be	AUX
bracis-19040	397	4	a	a	DET
bracis-19040	397	5	complete	complete	ADJ
bracis-19040	397	6	extension	extension	NOUN
bracis-19040	397	7	of	of	ADP
bracis-19040	397	8	\	\	PROPN
bracis-19040	397	9	(	(	PUNCT
bracis-19040	397	10	af	af	PROPN
bracis-19040	397	11	\	\	PROPN
bracis-19040	397	12	)	)	PUNCT
bracis-19040	397	13	,	,	PUNCT
bracis-19040	397	14	then	then	ADV
bracis-19040	397	15	\(e	\(e	NOUN
bracis-19040	397	16	\cap	\cap	PROPN
bracis-19040	397	17	\mathcal	\mathcal	PROPN
bracis-19040	397	18	a_1\	a_1\	PROPN
bracis-19040	397	19	)	)	PUNCT
bracis-19040	397	20	is	be	AUX
bracis-19040	397	21	a	a	DET
bracis-19040	397	22	complete	complete	ADJ
bracis-19040	397	23	extension	extension	NOUN
bracis-19040	397	24	of	of	ADP
bracis-19040	397	25	\	\	PROPN
bracis-19040	397	26	(	(	PUNCT
bracis-19040	397	27	af	af	X
bracis-19040	397	28	_	_	NOUN
bracis-19040	397	29	1\	1\	NUM
bracis-19040	397	30	)	)	PUNCT
bracis-19040	397	31	.	.	PUNCT
bracis-19040	398	1	proof	proof	NOUN
bracis-19040	398	2	let	let	VERB
bracis-19040	398	3	e	e	PRON
bracis-19040	398	4	be	be	AUX
bracis-19040	398	5	a	a	DET
bracis-19040	398	6	complete	complete	ADJ
bracis-19040	398	7	extension	extension	NOUN
bracis-19040	398	8	of	of	ADP
bracis-19040	398	9	\	\	PROPN
bracis-19040	398	10	(	(	PUNCT
bracis-19040	398	11	af	af	PROPN
bracis-19040	398	12	\	\	PROPN
bracis-19040	398	13	)	)	PUNCT
bracis-19040	398	14	.	.	PUNCT
bracis-19040	399	1	assume	assume	VERB
bracis-19040	399	2	\(e	\(e	NOUN
bracis-19040	399	3	'	'	PART
bracis-19040	399	4	=	=	SYM
bracis-19040	399	5	e	e	PROPN
bracis-19040	399	6	\cap	\cap	PROPN
bracis-19040	399	7	\mathcal	\mathcal	PROPN
bracis-19040	399	8	a_1\	a_1\	PROPN
bracis-19040	399	9	)	)	PUNCT
bracis-19040	399	10	.	.	PUNCT
bracis-19040	400	1	we	we	PRON
bracis-19040	400	2	will	will	AUX
bracis-19040	400	3	prove	prove	VERB
bracis-19040	400	4	that	that	DET
bracis-19040	400	5	\(e'\	\(e'\	PROPN
bracis-19040	400	6	)	)	PUNCT
bracis-19040	400	7	is	be	AUX
bracis-19040	400	8	a	a	DET
bracis-19040	400	9	complete	complete	ADJ
bracis-19040	400	10	extension	extension	NOUN
bracis-19040	400	11	of	of	ADP
bracis-19040	400	12	\	\	PROPN
bracis-19040	400	13	(	(	PUNCT
bracis-19040	400	14	af	af	X
bracis-19040	400	15	_	_	NOUN
bracis-19040	400	16	1\	1\	NUM
bracis-19040	400	17	)	)	PUNCT
bracis-19040	400	18	.	.	PUNCT
bracis-19040	401	1	note	note	VERB
bracis-19040	401	2	\(e'\	\(e'\	PROPN
bracis-19040	401	3	)	)	PUNCT
bracis-19040	401	4	is	be	AUX
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bracis-19040	401	6	in	in	ADP
bracis-19040	401	7	\	\	PROPN
bracis-19040	401	8	(	(	PUNCT
bracis-19040	401	9	af	af	X
bracis-19040	401	10	_	_	NOUN
bracis-19040	401	11	1\	1\	NUM
bracis-19040	401	12	)	)	PUNCT
bracis-19040	401	13	,	,	PUNCT
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bracis-19040	401	15	\(e	\(e	NOUN
bracis-19040	401	16	'	'	PART
bracis-19040	401	17	\subseteq	\subseteq	PROPN
bracis-19040	401	18	e\	e\	PROPN
bracis-19040	401	19	)	)	PUNCT
bracis-19040	401	20	,	,	PUNCT
bracis-19040	401	21	e	e	NOUN
bracis-19040	401	22	is	be	AUX
bracis-19040	401	23	compatible	compatible	ADJ
bracis-19040	401	24	in	in	ADP
bracis-19040	401	25	\	\	PROPN
bracis-19040	401	26	(	(	PUNCT
bracis-19040	401	27	af	af	PROPN
bracis-19040	401	28	\	\	PROPN
bracis-19040	401	29	)	)	PUNCT
bracis-19040	401	30	and	and	CCONJ
bracis-19040	401	31	there	there	PRON
bracis-19040	401	32	are	be	VERB
bracis-19040	401	33	no	no	DET
bracis-19040	401	34	new	new	ADJ
bracis-19040	401	35	defeats	defeat	NOUN
bracis-19040	401	36	in	in	ADP
bracis-19040	401	37	\	\	PROPN
bracis-19040	401	38	(	(	PUNCT
bracis-19040	401	39	af	af	X
bracis-19040	401	40	_	_	NOUN
bracis-19040	401	41	1\	1\	NUM
bracis-19040	401	42	)	)	PUNCT
bracis-19040	401	43	.	.	PUNCT
bracis-19040	402	1	now	now	ADV
bracis-19040	402	2	we	we	PRON
bracis-19040	402	3	will	will	AUX
bracis-19040	402	4	show	show	VERB
bracis-19040	402	5	\(e	\(e	NOUN
bracis-19040	402	6	'	'	PART
bracis-19040	402	7	=	=	SYM
bracis-19040	402	8	f	f	X
bracis-19040	402	9	_	_	PUNCT
bracis-19040	402	10	{	{	PUNCT
bracis-19040	402	11	af	af	PROPN
bracis-19040	402	12	_	_	PRON
bracis-19040	402	13	1}(e')\	1}(e')\	NOUN
bracis-19040	402	14	):	):	PUNCT
bracis-19040	402	15	\(e	\(e	NOUN
bracis-19040	402	16	'	'	PART
bracis-19040	402	17	\subseteq	\subseteq	PROPN
bracis-19040	402	18	f	f	X
bracis-19040	402	19	_	_	PUNCT
bracis-19040	402	20	{	{	PUNCT
bracis-19040	402	21	af	af	X
bracis-19040	402	22	_	_	NOUN
bracis-19040	402	23	1}(e')\	1}(e')\	NOUN
bracis-19040	402	24	)	)	PUNCT
bracis-19040	402	25	.	.	PUNCT
bracis-19040	403	1	let	let	VERB
bracis-19040	403	2	\(a	\(a	PROPN
bracis-19040	403	3	\in	\in	PROPN
bracis-19040	403	4	e'\	e'\	PROPN
bracis-19040	403	5	)	)	PUNCT
bracis-19040	403	6	.	.	PUNCT
bracis-19040	404	1	as	as	ADP
bracis-19040	404	2	also	also	ADV
bracis-19040	404	3	\(a	\(a	PROPN
bracis-19040	404	4	\in	\in	PROPN
bracis-19040	404	5	e\	e\	PROPN
bracis-19040	404	6	)	)	PUNCT
bracis-19040	404	7	and	and	CCONJ
bracis-19040	404	8	e	e	NOUN
bracis-19040	404	9	is	be	AUX
bracis-19040	404	10	a	a	DET
bracis-19040	404	11	complete	complete	ADJ
bracis-19040	404	12	extension	extension	NOUN
bracis-19040	404	13	of	of	ADP
bracis-19040	404	14	\	\	PROPN
bracis-19040	404	15	(	(	PUNCT
bracis-19040	404	16	af	af	PROPN
bracis-19040	404	17	\	\	PROPN
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bracis-19040	404	19	,	,	PUNCT
bracis-19040	404	20	it	it	PRON
bracis-19040	404	21	means	mean	VERB
bracis-19040	404	22	\(\forall	\(\forall	ADV
bracis-19040	404	23	b	b	X
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bracis-19040	404	25	\mathcal	\mathcal	PROPN
bracis-19040	404	26	a_1\	a_1\	NOUN
bracis-19040	404	27	)	)	PUNCT
bracis-19040	404	28	such	such	ADJ
bracis-19040	404	29	that	that	PRON
bracis-19040	404	30	\((b	\((b	NOUN
bracis-19040	404	31	,	,	PUNCT
bracis-19040	404	32	a	a	DET
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bracis-19040	404	35	\mathcal	\mathcal	PROPN
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bracis-19040	404	44	\in	\in	PROPN
bracis-19040	404	45	e\	e\	PROPN
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bracis-19040	404	47	such	such	ADJ
bracis-19040	404	48	that	that	SCONJ
bracis-19040	404	49	\	\	PROPN
bracis-19040	404	50	(	(	PUNCT
bracis-19040	404	51	df	df	PROPN
bracis-19040	404	52	(	(	PUNCT
bracis-19040	404	53	c	c	NOUN
bracis-19040	404	54	,	,	PUNCT
bracis-19040	404	55	a	a	PRON
bracis-19040	404	56	,	,	PUNCT
bracis-19040	404	57	b)\	b)\	NOUN
bracis-19040	404	58	)	)	PUNCT
bracis-19040	404	59	.	.	PUNCT
bracis-19040	405	1	as	as	ADP
bracis-19040	405	2	\(b	\(b	PROPN
bracis-19040	405	3	\in	\in	PROPN
bracis-19040	405	4	\mathcal	\mathcal	PROPN
bracis-19040	405	5	a_1\	a_1\	PROPN
bracis-19040	405	6	)	)	PUNCT
bracis-19040	405	7	,	,	PUNCT
bracis-19040	405	8	\(\texttt	\(\texttt	X
bracis-19040	405	9	{	{	PUNCT
bracis-19040	405	10	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	405	11	{	{	PUNCT
bracis-19040	405	12	conc}(c	conc}(c	PROPN
bracis-19040	405	13	)	)	PUNCT
bracis-19040	405	14	)	)	PUNCT
bracis-19040	406	1	\subseteq	\subseteq	PROPN
bracis-19040	406	2	\texttt	\texttt	PROPN
bracis-19040	406	3	{	{	PUNCT
bracis-19040	406	4	atoms	atom	NOUN
bracis-19040	406	5	}	}	PUNCT
bracis-19040	406	6	(	(	PUNCT
bracis-19040	406	7	at	at	ADP
bracis-19040	406	8	_	_	NOUN
bracis-19040	406	9	1)\	1)\	NUM
bracis-19040	406	10	)	)	PUNCT
bracis-19040	406	11	.	.	PUNCT
bracis-19040	407	1	by	by	ADP
bracis-19040	407	2	lemma	lemma	PROPN
bracis-19040	407	3	1	1	NUM
bracis-19040	407	4	,	,	PUNCT
bracis-19040	407	5	\(\exists	\(\exist	NOUN
bracis-19040	407	6	c	c	X
bracis-19040	407	7	'	'	PUNCT
bracis-19040	407	8	\in	\in	PROPN
bracis-19040	407	9	\mathcal	\mathcal	PROPN
bracis-19040	407	10	a_1\	a_1\	PROPN
bracis-19040	407	11	)	)	PUNCT
bracis-19040	407	12	,	,	PUNCT
bracis-19040	407	13	such	such	ADJ
bracis-19040	407	14	that	that	SCONJ
bracis-19040	407	15	\(\mathtt	\(\mathtt	VERB
bracis-19040	407	16	{	{	PUNCT
bracis-19040	407	17	conc}(c	conc}(c	NOUN
bracis-19040	407	18	'	'	PUNCT
bracis-19040	407	19	)	)	PUNCT
bracis-19040	407	20	=	=	SYM
bracis-19040	407	21	\mathtt	\mathtt	X
bracis-19040	407	22	{	{	PUNCT
bracis-19040	407	23	conc}(c)\	conc}(c)\	NOUN
bracis-19040	407	24	)	)	PUNCT
bracis-19040	407	25	and	and	CCONJ
bracis-19040	407	26	\(c'^\subseteq	\(c'^\subseteq	PROPN
bracis-19040	407	27	c^-\	c^-\	PROPN
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bracis-19040	408	7	\in	\in	PROPN
bracis-19040	408	8	e\	e\	NOUN
bracis-19040	408	9	)	)	PUNCT
bracis-19040	408	10	,	,	PUNCT
bracis-19040	408	11	and	and	CCONJ
bracis-19040	408	12	so	so	ADV
bracis-19040	408	13	\(c	\(c	ADJ
bracis-19040	408	14	'	'	PUNCT
bracis-19040	408	15	\in	\in	PROPN
bracis-19040	408	16	e'\	e'\	NOUN
bracis-19040	408	17	)	)	PUNCT
bracis-19040	408	18	.	.	PUNCT
bracis-19040	409	1	thus	thus	ADV
bracis-19040	409	2	,	,	PUNCT
bracis-19040	409	3	\(a	\(a	NOUN
bracis-19040	409	4	\in	\in	PROPN
bracis-19040	409	5	f	f	PROPN
bracis-19040	409	6	_	_	PROPN
bracis-19040	409	7	{	{	PUNCT
bracis-19040	409	8	af	af	PROPN
bracis-19040	409	9	_	_	NOUN
bracis-19040	409	10	1}(e')\	1}(e')\	NOUN
bracis-19040	409	11	)	)	PUNCT
bracis-19040	409	12	.	.	PUNCT
bracis-19040	410	1	\(f	\(f	X
bracis-19040	410	2	_	_	PRON
bracis-19040	410	3	{	{	PUNCT
bracis-19040	410	4	af	af	X
bracis-19040	410	5	_	_	PUNCT
bracis-19040	410	6	1}(e	1}(e	NUM
bracis-19040	410	7	'	'	PUNCT
bracis-19040	410	8	)	)	PUNCT
bracis-19040	410	9	\subseteq	\subseteq	PROPN
bracis-19040	410	10	e'\	e'\	PROPN
bracis-19040	410	11	)	)	PUNCT
bracis-19040	410	12	.	.	PUNCT
bracis-19040	411	1	as	as	SCONJ
bracis-19040	411	2	f	f	PROPN
bracis-19040	411	3	is	be	AUX
bracis-19040	411	4	a	a	DET
bracis-19040	411	5	monotony	monotony	NOUN
bracis-19040	411	6	function	function	NOUN
bracis-19040	411	7	,	,	PUNCT
bracis-19040	411	8	and	and	CCONJ
bracis-19040	411	9	e	e	NOUN
bracis-19040	411	10	is	be	AUX
bracis-19040	411	11	a	a	DET
bracis-19040	411	12	complete	complete	ADJ
bracis-19040	411	13	extension	extension	NOUN
bracis-19040	411	14	of	of	ADP
bracis-19040	411	15	\	\	PROPN
bracis-19040	411	16	(	(	PUNCT
bracis-19040	411	17	af	af	PROPN
bracis-19040	411	18	\	\	PROPN
bracis-19040	411	19	)	)	PUNCT
bracis-19040	411	20	,	,	PUNCT
bracis-19040	411	21	\(f	\(f	X
bracis-19040	411	22	_	_	DET
bracis-19040	411	23	{	{	PUNCT
bracis-19040	411	24	af	af	NOUN
bracis-19040	411	25	}	}	PUNCT
bracis-19040	411	26	(	(	PUNCT
bracis-19040	411	27	e	e	NOUN
bracis-19040	411	28	'	'	PUNCT
bracis-19040	411	29	)	)	PUNCT
bracis-19040	412	1	\subseteq	\subseteq	PROPN
bracis-19040	413	1	f	f	X
bracis-19040	413	2	_	_	PRON
bracis-19040	413	3	{	{	PUNCT
bracis-19040	413	4	af	af	PROPN
bracis-19040	413	5	}	}	PUNCT
bracis-19040	413	6	(	(	PUNCT
bracis-19040	413	7	e	e	NOUN
bracis-19040	413	8	)	)	PUNCT
bracis-19040	413	9	=	=	SYM
bracis-19040	413	10	e\	e\	NOUN
bracis-19040	413	11	)	)	PUNCT
bracis-19040	413	12	,	,	PUNCT
bracis-19040	413	13	and	and	CCONJ
bracis-19040	413	14	so	so	ADV
bracis-19040	413	15	\(f	\(f	X
bracis-19040	413	16	_	_	NOUN
bracis-19040	413	17	{	{	PUNCT
bracis-19040	413	18	af	af	NOUN
bracis-19040	413	19	}	}	PUNCT
bracis-19040	413	20	(	(	PUNCT
bracis-19040	413	21	e	e	NOUN
bracis-19040	413	22	'	'	PUNCT
bracis-19040	413	23	)	)	PUNCT
bracis-19040	413	24	\cap	\cap	PROPN
bracis-19040	413	25	\mathcal	\mathcal	PROPN
bracis-19040	413	26	a_1	a_1	PROPN
bracis-19040	413	27	\subseteq	\subseteq	PROPN
bracis-19040	413	28	e	e	PROPN
bracis-19040	413	29	\cap	\cap	PROPN
bracis-19040	413	30	\mathcal	\mathcal	PROPN
bracis-19040	413	31	a_1\	a_1\	PROPN
bracis-19040	413	32	)	)	PUNCT
bracis-19040	413	33	.	.	PUNCT
bracis-19040	414	1	from	from	ADP
bracis-19040	414	2	lemma	lemma	PROPN
bracis-19040	414	3	3	3	NUM
bracis-19040	414	4	,	,	PUNCT
bracis-19040	414	5	\(f	\(f	X
bracis-19040	414	6	_	_	PRON
bracis-19040	414	7	{	{	PUNCT
bracis-19040	414	8	af	af	X
bracis-19040	414	9	_	_	PUNCT
bracis-19040	414	10	1}(e	1}(e	NUM
bracis-19040	414	11	'	'	PUNCT
bracis-19040	414	12	)	)	PUNCT
bracis-19040	415	1	=	=	PUNCT
bracis-19040	416	1	f	f	X
bracis-19040	416	2	_	_	PUNCT
bracis-19040	416	3	{	{	PUNCT
bracis-19040	416	4	af	af	PROPN
bracis-19040	416	5	}	}	PUNCT
bracis-19040	416	6	(	(	PUNCT
bracis-19040	416	7	e	e	NOUN
bracis-19040	416	8	'	'	PUNCT
bracis-19040	416	9	)	)	PUNCT
bracis-19040	416	10	\cap	\cap	PROPN
bracis-19040	416	11	\mathcal	\mathcal	PROPN
bracis-19040	416	12	a_1\	a_1\	PROPN
bracis-19040	416	13	)	)	PUNCT
bracis-19040	416	14	.	.	PUNCT
bracis-19040	417	1	but	but	CCONJ
bracis-19040	417	2	then	then	ADV
bracis-19040	417	3	,	,	PUNCT
bracis-19040	417	4	we	we	PRON
bracis-19040	417	5	obtain	obtain	VERB
bracis-19040	417	6	\(f	\(f	X
bracis-19040	417	7	_	_	NOUN
bracis-19040	417	8	{	{	PUNCT
bracis-19040	417	9	af	af	X
bracis-19040	417	10	_	_	PUNCT
bracis-19040	417	11	1}(e	1}(e	NUM
bracis-19040	417	12	'	'	PUNCT
bracis-19040	417	13	)	)	PUNCT
bracis-19040	418	1	\subseteq	\subseteq	PROPN
bracis-19040	418	2	e	e	X
bracis-19040	418	3	\cap	\cap	PROPN
bracis-19040	418	4	\mathcal	\mathcal	PROPN
bracis-19040	418	5	a_1\	a_1\	PROPN
bracis-19040	418	6	)	)	PUNCT
bracis-19040	418	7	.	.	PUNCT
bracis-19040	419	1	thus	thus	ADV
bracis-19040	419	2	,	,	PUNCT
bracis-19040	419	3	\(f	\(f	X
bracis-19040	419	4	_	_	PRON
bracis-19040	419	5	{	{	PUNCT
bracis-19040	419	6	af	af	X
bracis-19040	419	7	_	_	PUNCT
bracis-19040	419	8	1}(e	1}(e	NUM
bracis-19040	419	9	'	'	PUNCT
bracis-19040	419	10	)	)	PUNCT
bracis-19040	419	11	\subseteq	\subseteq	PROPN
bracis-19040	419	12	e'\	e'\	PROPN
bracis-19040	419	13	)	)	PUNCT
bracis-19040	419	14	.	.	PUNCT
bracis-19040	419	15	   	   	SPACE
bracis-19040	420	1	\(\square	\(\square	VERB
bracis-19040	420	2	\	\	NOUN
bracis-19040	420	3	)	)	PUNCT
bracis-19040	421	1	lemma	lemma	PROPN
bracis-19040	421	2	6	6	NUM
bracis-19040	421	3	assures	assure	VERB
bracis-19040	421	4	the	the	DET
bracis-19040	421	5	admissible	admissible	ADJ
bracis-19040	421	6	sets	set	NOUN
bracis-19040	421	7	in	in	ADP
bracis-19040	421	8	\	\	PROPN
bracis-19040	421	9	(	(	PUNCT
bracis-19040	421	10	af	af	X
bracis-19040	421	11	_	_	NOUN
bracis-19040	421	12	1\	1\	NUM
bracis-19040	421	13	)	)	PUNCT
bracis-19040	421	14	are	be	AUX
bracis-19040	421	15	also	also	ADV
bracis-19040	421	16	admissible	admissible	ADJ
bracis-19040	421	17	sets	set	NOUN
bracis-19040	421	18	in	in	ADP
bracis-19040	421	19	\	\	PROPN
bracis-19040	421	20	(	(	PUNCT
bracis-19040	421	21	af	af	PROPN
bracis-19040	421	22	\	\	PROPN
bracis-19040	421	23	):	):	PUNCT
bracis-19040	421	24	lemma	lemma	PROPN
bracis-19040	421	25	6	6	NUM
bracis-19040	421	26	let	let	VERB
bracis-19040	421	27	\	\	PROPN
bracis-19040	421	28	(	(	PUNCT
bracis-19040	421	29	at	at	ADP
bracis-19040	421	30	=	=	PUNCT
bracis-19040	421	31	at	at	ADP
bracis-19040	421	32	_	_	NOUN
bracis-19040	421	33	1	1	NUM
bracis-19040	421	34	\cup	\cup	NOUN
bracis-19040	421	35	at	at	ADP
bracis-19040	421	36	_	_	NOUN
bracis-19040	421	37	2\	2\	NUM
bracis-19040	421	38	)	)	PUNCT
bracis-19040	421	39	for	for	ADP
bracis-19040	421	40	syntactically	syntactically	ADV
bracis-19040	421	41	disjoint	disjoint	VERB
bracis-19040	421	42	argumentation	argumentation	NOUN
bracis-19040	421	43	theories	theory	NOUN
bracis-19040	421	44	\	\	PROPN
bracis-19040	421	45	(	(	PUNCT
bracis-19040	421	46	at	at	ADP
bracis-19040	421	47	_	_	NOUN
bracis-19040	421	48	1\	1\	NUM
bracis-19040	421	49	)	)	PUNCT
bracis-19040	421	50	and	and	CCONJ
bracis-19040	421	51	\	\	PROPN
bracis-19040	421	52	(	(	PUNCT
bracis-19040	421	53	at	at	ADP
bracis-19040	421	54	_	_	NOUN
bracis-19040	421	55	2\	2\	NUM
bracis-19040	421	56	)	)	PUNCT
bracis-19040	421	57	,	,	PUNCT
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bracis-19040	421	59	\	\	PROPN
bracis-19040	421	60	(	(	PUNCT
bracis-19040	421	61	af	af	PROPN
bracis-19040	421	62	=	=	SYM
bracis-19040	421	63	(	(	PUNCT
bracis-19040	421	64	\mathcal	\mathcal	PROPN
bracis-19040	421	65	a	a	X
bracis-19040	421	66	,	,	PUNCT
bracis-19040	421	67	\mathcal	\mathcal	PROPN
bracis-19040	421	68	d	d	NOUN
bracis-19040	421	69	,	,	PUNCT
bracis-19040	421	70	\mathcal	\mathcal	PROPN
bracis-19040	421	71	d')\	d')\	NOUN
bracis-19040	421	72	)	)	PUNCT
bracis-19040	421	73	and	and	CCONJ
bracis-19040	421	74	\	\	PROPN
bracis-19040	421	75	(	(	PUNCT
bracis-19040	421	76	af	af	X
bracis-19040	421	77	_	_	NOUN
bracis-19040	421	78	1	1	X
bracis-19040	421	79	=	=	SYM
bracis-19040	421	80	(	(	PUNCT
bracis-19040	421	81	\mathcal	\mathcal	PROPN
bracis-19040	421	82	a_1	a_1	NOUN
bracis-19040	421	83	,	,	PUNCT
bracis-19040	421	84	\mathcal	\mathcal	PROPN
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bracis-19040	421	87	\mathcal	\mathcal	PROPN
bracis-19040	421	88	d'_1)\	d'_1)\	PROPN
bracis-19040	421	89	)	)	PUNCT
bracis-19040	421	90	be	be	VERB
bracis-19040	421	91	respectively	respectively	ADV
bracis-19040	421	92	the	the	DET
bracis-19040	421	93	resulting	result	VERB
bracis-19040	421	94	inconsistency	inconsistency	NOUN
bracis-19040	421	95	-	-	PUNCT
bracis-19040	421	96	cleaned	clean	VERB
bracis-19040	421	97	\	\	PROPN
bracis-19040	421	98	(	(	PUNCT
bracis-19040	421	99	af	af	X
bracis-19040	421	100	_	_	NOUN
bracis-19040	421	101	2\)s	2\)s	NUM
bracis-19040	421	102	from	from	ADP
bracis-19040	421	103	\	\	PROPN
bracis-19040	421	104	(	(	PUNCT
bracis-19040	421	105	at	at	ADP
bracis-19040	421	106	\	\	NOUN
bracis-19040	421	107	)	)	PUNCT
bracis-19040	421	108	and	and	CCONJ
bracis-19040	421	109	\	\	PROPN
bracis-19040	421	110	(	(	PUNCT
bracis-19040	421	111	at	at	ADP
bracis-19040	421	112	_	_	NOUN
bracis-19040	421	113	1\	1\	NUM
bracis-19040	421	114	)	)	PUNCT
bracis-19040	421	115	.	.	PUNCT
bracis-19040	422	1	let	let	AUX
bracis-19040	422	2	\(s	\(s	VERB
bracis-19040	422	3	\subseteq	\subseteq	PROPN
bracis-19040	422	4	\mathcal	\mathcal	PROPN
bracis-19040	422	5	a_1\	a_1\	PROPN
bracis-19040	422	6	)	)	PUNCT
bracis-19040	422	7	.	.	PUNCT
bracis-19040	423	1	if	if	SCONJ
bracis-19040	423	2	s	s	NOUN
bracis-19040	423	3	is	be	AUX
bracis-19040	423	4	an	an	DET
bracis-19040	423	5	admissible	admissible	ADJ
bracis-19040	423	6	set	set	NOUN
bracis-19040	423	7	in	in	ADP
bracis-19040	423	8	\	\	PROPN
bracis-19040	423	9	(	(	PUNCT
bracis-19040	423	10	af	af	X
bracis-19040	423	11	_	_	NOUN
bracis-19040	423	12	1\	1\	NUM
bracis-19040	423	13	)	)	PUNCT
bracis-19040	423	14	,	,	PUNCT
bracis-19040	423	15	then	then	ADV
bracis-19040	423	16	s	s	VERB
bracis-19040	423	17	is	be	AUX
bracis-19040	423	18	an	an	DET
bracis-19040	423	19	admissible	admissible	ADJ
bracis-19040	423	20	set	set	NOUN
bracis-19040	423	21	if	if	SCONJ
bracis-19040	423	22	\	\	PROPN
bracis-19040	423	23	(	(	PUNCT
bracis-19040	423	24	af	af	PROPN
bracis-19040	423	25	\	\	PROPN
bracis-19040	423	26	)	)	PUNCT
bracis-19040	423	27	.	.	PUNCT
bracis-19040	424	1	proof	proof	NOUN
bracis-19040	424	2	as	as	SCONJ
bracis-19040	424	3	s	s	NOUN
bracis-19040	424	4	is	be	AUX
bracis-19040	424	5	a	a	DET
bracis-19040	424	6	compatible	compatible	ADJ
bracis-19040	424	7	set	set	NOUN
bracis-19040	424	8	in	in	ADP
bracis-19040	424	9	\	\	PROPN
bracis-19040	424	10	(	(	PUNCT
bracis-19040	424	11	af	af	X
bracis-19040	424	12	_	_	NOUN
bracis-19040	424	13	1\	1\	NUM
bracis-19040	424	14	)	)	PUNCT
bracis-19040	424	15	,	,	PUNCT
bracis-19040	424	16	s	s	VERB
bracis-19040	424	17	is	be	AUX
bracis-19040	424	18	also	also	ADV
bracis-19040	424	19	a	a	DET
bracis-19040	424	20	compatible	compatible	ADJ
bracis-19040	424	21	set	set	NOUN
bracis-19040	424	22	in	in	ADP
bracis-19040	424	23	\	\	PROPN
bracis-19040	424	24	(	(	PUNCT
bracis-19040	424	25	af	af	PROPN
bracis-19040	424	26	\	\	PROPN
bracis-19040	424	27	)	)	PUNCT
bracis-19040	424	28	,	,	PUNCT
bracis-19040	424	29	since	since	SCONJ
bracis-19040	424	30	\(\mathcal	\(\mathcal	ADJ
bracis-19040	424	31	a_1	a_1	PROPN
bracis-19040	424	32	\subseteq	\subseteq	PROPN
bracis-19040	424	33	\mathcal	\mathcal	PROPN
bracis-19040	424	34	a\	a\	PROPN
bracis-19040	424	35	)	)	PUNCT
bracis-19040	424	36	.	.	PUNCT
bracis-19040	425	1	it	it	PRON
bracis-19040	425	2	remains	remain	VERB
bracis-19040	425	3	to	to	PART
bracis-19040	425	4	show	show	VERB
bracis-19040	425	5	that	that	SCONJ
bracis-19040	425	6	\(s	\(s	NOUN
bracis-19040	425	7	\subseteq	\subseteq	PROPN
bracis-19040	425	8	f	f	X
bracis-19040	425	9	_	_	PRON
bracis-19040	425	10	{	{	PUNCT
bracis-19040	425	11	af	af	PROPN
bracis-19040	425	12	}	}	PUNCT
bracis-19040	425	13	(	(	PUNCT
bracis-19040	425	14	s)\	s)\	NOUN
bracis-19040	425	15	)	)	PUNCT
bracis-19040	425	16	.	.	PUNCT
bracis-19040	426	1	assume	assume	VERB
bracis-19040	426	2	\(b	\(b	PROPN
bracis-19040	426	3	\in	\in	PROPN
bracis-19040	426	4	\mathcal	\mathcal	PROPN
bracis-19040	426	5	a\	a\	NOUN
bracis-19040	426	6	)	)	PUNCT
bracis-19040	426	7	such	such	ADJ
bracis-19040	426	8	that	that	PRON
bracis-19040	426	9	for	for	ADP
bracis-19040	426	10	some	some	DET
bracis-19040	426	11	\(a	\(a	ADJ
bracis-19040	426	12	\in	\in	PROPN
bracis-19040	426	13	s\	s\	NOUN
bracis-19040	426	14	)	)	PUNCT
bracis-19040	426	15	,	,	PUNCT
bracis-19040	426	16	\((b	\((b	VERB
bracis-19040	426	17	,	,	PUNCT
bracis-19040	426	18	a	a	DET
bracis-19040	426	19	)	)	PUNCT
bracis-19040	426	20	\in	\in	PROPN
bracis-19040	426	21	\mathcal	\mathcal	PROPN
bracis-19040	426	22	d	d	PROPN
bracis-19040	426	23	\cup	\cup	PROPN
bracis-19040	426	24	d'\	d'\	PROPN
bracis-19040	426	25	)	)	PUNCT
bracis-19040	426	26	.	.	PUNCT
bracis-19040	427	1	it	it	PRON
bracis-19040	427	2	means	mean	VERB
bracis-19040	427	3	\(\texttt	\(\texttt	NOUN
bracis-19040	427	4	{	{	PUNCT
bracis-19040	427	5	atoms}(\mathtt	atoms}(\mathtt	NOUN
bracis-19040	427	6	{	{	PUNCT
bracis-19040	427	7	conc}(b	conc}(b	NOUN
bracis-19040	427	8	)	)	PUNCT
bracis-19040	427	9	)	)	PUNCT
bracis-19040	428	1	\subseteq	\subseteq	PROPN
bracis-19040	428	2	\texttt	\texttt	PROPN
bracis-19040	428	3	{	{	PUNCT
bracis-19040	428	4	atoms	atom	NOUN
bracis-19040	428	5	}	}	PUNCT
bracis-19040	428	6	(	(	PUNCT
bracis-19040	428	7	at	at	ADP
bracis-19040	428	8	_	_	NOUN
bracis-19040	428	9	1)\	1)\	NUM
bracis-19040	428	10	)	)	PUNCT
bracis-19040	428	11	.	.	PUNCT
bracis-19040	429	1	from	from	ADP
bracis-19040	429	2	lemma	lemma	PROPN
bracis-19040	429	3	1	1	NUM
bracis-19040	429	4	,	,	PUNCT
bracis-19040	429	5	\(\exists	\(\exist	NOUN
bracis-19040	429	6	b	b	X
bracis-19040	429	7	'	'	PUNCT
bracis-19040	429	8	\in	\in	PROPN
bracis-19040	429	9	\mathcal	\mathcal	PROPN
bracis-19040	429	10	a_1\	a_1\	NOUN
bracis-19040	429	11	)	)	PUNCT
bracis-19040	429	12	such	such	ADJ
bracis-19040	429	13	that	that	SCONJ
bracis-19040	429	14	\(\mathtt	\(\mathtt	VERB
bracis-19040	429	15	{	{	PUNCT
bracis-19040	429	16	conc}(b	conc}(b	NOUN
bracis-19040	429	17	'	'	PUNCT
bracis-19040	429	18	)	)	PUNCT
bracis-19040	429	19	=	=	SYM
bracis-19040	429	20	\mathtt	\mathtt	X
bracis-19040	429	21	{	{	PUNCT
bracis-19040	429	22	conc}(b)\	conc}(b)\	NOUN
bracis-19040	429	23	)	)	PUNCT
bracis-19040	429	24	and	and	CCONJ
bracis-19040	429	25	\(b'^\subseteq	\(b'^\subseteq	PROPN
bracis-19040	429	26	b^-\	b^-\	NOUN
bracis-19040	429	27	)	)	PUNCT
bracis-19040	429	28	.	.	PUNCT
bracis-19040	430	1	note	note	VERB
bracis-19040	430	2	\((b',a	\((b',a	NOUN
bracis-19040	430	3	)	)	PUNCT
bracis-19040	430	4	\in	\in	PROPN
bracis-19040	430	5	\mathcal	\mathcal	PROPN
bracis-19040	430	6	d	d	PROPN
bracis-19040	430	7	\cup	\cup	PROPN
bracis-19040	430	8	d'\	d'\	PROPN
bracis-19040	430	9	)	)	PUNCT
bracis-19040	430	10	in	in	ADP
bracis-19040	430	11	\	\	PROPN
bracis-19040	430	12	(	(	PUNCT
bracis-19040	430	13	af	af	X
bracis-19040	430	14	_	_	NOUN
bracis-19040	430	15	1\	1\	NUM
bracis-19040	430	16	)	)	PUNCT
bracis-19040	430	17	.	.	PUNCT
bracis-19040	431	1	as	as	SCONJ
bracis-19040	431	2	s	s	NOUN
bracis-19040	431	3	is	be	AUX
bracis-19040	431	4	admissible	admissible	ADJ
bracis-19040	431	5	in	in	ADP
bracis-19040	431	6	\	\	PROPN
bracis-19040	431	7	(	(	PUNCT
bracis-19040	431	8	af	af	X
bracis-19040	431	9	_	_	NOUN
bracis-19040	431	10	1\	1\	NUM
bracis-19040	431	11	)	)	PUNCT
bracis-19040	431	12	,	,	PUNCT
bracis-19040	431	13	from	from	ADP
bracis-19040	431	14	definition	definition	NOUN
bracis-19040	431	15	11	11	NUM
bracis-19040	431	16	,	,	PUNCT
bracis-19040	431	17	\(\exists	\(\exist	NOUN
bracis-19040	431	18	c	c	PROPN
bracis-19040	431	19	\in	\in	PROPN
bracis-19040	431	20	s\	s\	PROPN
bracis-19040	431	21	)	)	PUNCT
bracis-19040	431	22	s.t	s.t	PROPN
bracis-19040	431	23	.	.	PROPN
bracis-19040	431	24	\(df(c	\(df(c	PROPN
bracis-19040	431	25	,	,	PUNCT
bracis-19040	431	26	a	a	PRON
bracis-19040	431	27	,	,	PUNCT
bracis-19040	431	28	b')\	b')\	NOUN
bracis-19040	431	29	)	)	PUNCT
bracis-19040	431	30	.	.	PUNCT
bracis-19040	432	1	given	give	VERB
bracis-19040	432	2	\(b'^\subseteq	\(b'^\subseteq	PROPN
bracis-19040	432	3	b^-\	b^-\	NOUN
bracis-19040	432	4	)	)	PUNCT
bracis-19040	432	5	,	,	PUNCT
bracis-19040	432	6	\((c	\((c	PROPN
bracis-19040	432	7	,	,	PUNCT
bracis-19040	432	8	b	b	NOUN
bracis-19040	432	9	)	)	PUNCT
bracis-19040	432	10	\in	\in	PROPN
bracis-19040	432	11	\mathcal	\mathcal	PROPN
bracis-19040	432	12	d	d	PROPN
bracis-19040	432	13	\cup	\cup	PROPN
bracis-19040	432	14	\mathcal	\mathcal	PROPN
bracis-19040	432	15	d'\	d'\	PROPN
bracis-19040	432	16	)	)	PUNCT
bracis-19040	432	17	.	.	PUNCT
bracis-19040	433	1	it	it	PRON
bracis-19040	433	2	follows	follow	VERB
bracis-19040	433	3	\(s	\(s	PROPN
bracis-19040	433	4	\subseteq	\subseteq	PROPN
bracis-19040	433	5	f	f	PROPN
bracis-19040	434	1	_	_	PRON
bracis-19040	434	2	{	{	PUNCT
bracis-19040	434	3	af	af	PROPN
bracis-19040	434	4	}	}	PUNCT
bracis-19040	434	5	(	(	PUNCT
bracis-19040	434	6	s)\	s)\	NOUN
bracis-19040	434	7	)	)	PUNCT
bracis-19040	434	8	.	.	PUNCT
bracis-19040	435	1	   	   	SPACE
bracis-19040	435	2	\(\square	\(\square	VERB
bracis-19040	435	3	\	\	NOUN
bracis-19040	435	4	)	)	PUNCT
bracis-19040	435	5	in	in	ADP
bracis-19040	435	6	the	the	DET
bracis-19040	435	7	sequel	sequel	NOUN
bracis-19040	435	8	,	,	PUNCT
bracis-19040	435	9	we	we	PRON
bracis-19040	435	10	formally	formally	ADV
bracis-19040	435	11	define	define	VERB
bracis-19040	435	12	the	the	DET
bracis-19040	435	13	concept	concept	NOUN
bracis-19040	435	14	of	of	ADP
bracis-19040	435	15	non	non	ADJ
bracis-19040	435	16	-	-	NOUN
bracis-19040	435	17	interference	interference	NOUN
bracis-19040	435	18	.	.	PUNCT
bracis-19040	436	1	definition	definition	NOUN
bracis-19040	436	2	22	22	NUM
bracis-19040	436	3	(	(	PUNCT
bracis-19040	436	4	non	non	ADJ
bracis-19040	436	5	-	-	NOUN
bracis-19040	436	6	interference	interference	NOUN
bracis-19040	436	7	)	)	PUNCT
bracis-19040	436	8	.	.	PUNCT
bracis-19040	437	1	the	the	DET
bracis-19040	437	2	\	\	NOUN
bracis-19040	437	3	(	(	PUNCT
bracis-19040	437	4	aspic	aspic	NOUN
bracis-19040	437	5	^?\	^?\	NUM
bracis-19040	437	6	)	)	PUNCT
bracis-19040	437	7	system	system	NOUN
bracis-19040	437	8	satisfies	satisfy	VERB
bracis-19040	437	9	non	non	ADJ
bracis-19040	437	10	-	-	NOUN
bracis-19040	437	11	interference	interference	NOUN
bracis-19040	437	12	under	under	ADP
bracis-19040	437	13	a	a	DET
bracis-19040	437	14	semantics	semantic	NOUN
bracis-19040	437	15	\	\	PROPN
bracis-19040	437	16	(	(	PUNCT
bracis-19040	437	17	sem	sem	PROPN
bracis-19040	437	18	\	\	PROPN
bracis-19040	437	19	)	)	PUNCT
bracis-19040	437	20	iff	iff	NOUN
bracis-19040	437	21	for	for	ADP
bracis-19040	437	22	every	every	DET
bracis-19040	437	23	syntactically	syntactically	ADV
bracis-19040	437	24	disjoint	disjoint	ADJ
bracis-19040	437	25	argumentation	argumentation	NOUN
bracis-19040	437	26	theories	theory	NOUN
bracis-19040	437	27	\	\	PROPN
bracis-19040	437	28	(	(	PUNCT
bracis-19040	437	29	at	at	ADP
bracis-19040	437	30	_	_	NOUN
bracis-19040	437	31	1\	1\	NUM
bracis-19040	437	32	)	)	PUNCT
bracis-19040	437	33	and	and	CCONJ
bracis-19040	437	34	\	\	PROPN
bracis-19040	437	35	(	(	PUNCT
bracis-19040	437	36	at	at	ADP
bracis-19040	437	37	_	_	NOUN
bracis-19040	437	38	2\	2\	NUM
bracis-19040	437	39	)	)	PUNCT
bracis-19040	437	40	,	,	PUNCT
bracis-19040	437	41	it	it	PRON
bracis-19040	437	42	holds	hold	VERB
bracis-19040	437	43	\	\	PROPN
bracis-19040	437	44	(	(	PUNCT
bracis-19040	437	45	cn	cn	X
bracis-19040	437	46	_	_	PROPN
bracis-19040	437	47	{	{	PUNCT
bracis-19040	437	48	sem	sem	PROPN
bracis-19040	437	49	}	}	PUNCT
bracis-19040	437	50	(	(	PUNCT
bracis-19040	437	51	at	at	ADP
bracis-19040	437	52	_	_	NOUN
bracis-19040	437	53	1	1	NUM
bracis-19040	437	54	\cup	\cup	NOUN
bracis-19040	437	55	at	at	ADP
bracis-19040	437	56	_	_	NOUN
bracis-19040	437	57	2)_{\mid	2)_{\mid	ADV
bracis-19040	438	1	\texttt	\texttt	PROPN
bracis-19040	438	2	{	{	PUNCT
bracis-19040	438	3	atoms	atom	NOUN
bracis-19040	438	4	}	}	PUNCT
bracis-19040	438	5	(	(	PUNCT
bracis-19040	438	6	at	at	ADP
bracis-19040	438	7	_	_	NOUN
bracis-19040	438	8	1	1	NUM
bracis-19040	438	9	)	)	PUNCT
bracis-19040	438	10	}	}	PUNCT
bracis-19040	439	1	=	=	PUNCT
bracis-19040	439	2	cn	cn	X
bracis-19040	439	3	_	_	PUNCT
bracis-19040	439	4	{	{	PUNCT
bracis-19040	439	5	sem	sem	PROPN
bracis-19040	439	6	}	}	PUNCT
bracis-19040	439	7	(	(	PUNCT
bracis-19040	439	8	at	at	ADP
bracis-19040	439	9	_	_	NOUN
bracis-19040	439	10	1)\	1)\	NUM
bracis-19040	439	11	)	)	PUNCT
bracis-19040	439	12	.	.	PUNCT
bracis-19040	440	1	non	non	ADJ
bracis-19040	440	2	-	-	ADJ
bracis-19040	440	3	interference	interference	NOUN
bracis-19040	440	4	means	mean	VERB
bracis-19040	440	5	that	that	SCONJ
bracis-19040	440	6	,	,	PUNCT
bracis-19040	440	7	for	for	ADP
bracis-19040	440	8	disjoint	disjoint	NOUN
bracis-19040	440	9	argumentation	argumentation	NOUN
bracis-19040	440	10	theories	theory	NOUN
bracis-19040	440	11	\	\	PROPN
bracis-19040	440	12	(	(	PUNCT
bracis-19040	440	13	at	at	ADP
bracis-19040	440	14	_	_	NOUN
bracis-19040	440	15	1\	1\	NUM
bracis-19040	440	16	)	)	PUNCT
bracis-19040	440	17	and	and	CCONJ
bracis-19040	440	18	\	\	PROPN
bracis-19040	440	19	(	(	PUNCT
bracis-19040	440	20	at	at	ADP
bracis-19040	440	21	_	_	NOUN
bracis-19040	440	22	2\	2\	NOUN
bracis-19040	440	23	)	)	PUNCT
bracis-19040	440	24	,	,	PUNCT
bracis-19040	440	25	\	\	PROPN
bracis-19040	440	26	(	(	PUNCT
bracis-19040	440	27	at	at	ADP
bracis-19040	440	28	_	_	NOUN
bracis-19040	440	29	1\	1\	NUM
bracis-19040	440	30	)	)	PUNCT
bracis-19040	440	31	does	do	AUX
bracis-19040	440	32	not	not	PART
bracis-19040	440	33	influence	influence	VERB
bracis-19040	440	34	the	the	DET
bracis-19040	440	35	outcome	outcome	NOUN
bracis-19040	440	36	with	with	ADP
bracis-19040	440	37	respect	respect	NOUN
bracis-19040	440	38	to	to	ADP
bracis-19040	440	39	the	the	DET
bracis-19040	440	40	language	language	NOUN
bracis-19040	440	41	of	of	ADP
bracis-19040	440	42	\	\	NOUN
bracis-19040	440	43	(	(	PUNCT
bracis-19040	440	44	at	at	ADP
bracis-19040	440	45	_	_	NOUN
bracis-19040	440	46	2\	2\	NUM
bracis-19040	440	47	)	)	PUNCT
bracis-19040	440	48	.	.	PUNCT
bracis-19040	441	1	theorem	theorem	VERB
bracis-19040	441	2	1	1	NUM
bracis-19040	441	3	the	the	DET
bracis-19040	441	4	inconsistency	inconsistency	NOUN
bracis-19040	441	5	-	-	PUNCT
bracis-19040	441	6	cleaned	clean	VERB
bracis-19040	441	7	version	version	NOUN
bracis-19040	441	8	of	of	ADP
bracis-19040	441	9	the	the	DET
bracis-19040	441	10	\	\	NOUN
bracis-19040	441	11	(	(	PUNCT
bracis-19040	441	12	aspic	aspic	NOUN
bracis-19040	441	13	^?\	^?\	NUM
bracis-19040	441	14	)	)	PUNCT
bracis-19040	441	15	system	system	NOUN
bracis-19040	441	16	satisfies	satisfy	VERB
bracis-19040	441	17	non	non	ADJ
bracis-19040	441	18	-	-	NOUN
bracis-19040	441	19	interference	interference	NOUN
bracis-19040	441	20	under	under	ADP
bracis-19040	441	21	complete	complete	ADJ
bracis-19040	441	22	semantics	semantic	NOUN
bracis-19040	441	23	.	.	PUNCT
bracis-19040	442	1	proof	proof	NOUN
bracis-19040	442	2	let	let	VERB
bracis-19040	442	3	\	\	PROPN
bracis-19040	442	4	(	(	PUNCT
bracis-19040	442	5	at	at	ADP
bracis-19040	442	6	=	=	PUNCT
bracis-19040	442	7	at	at	ADP
bracis-19040	442	8	_	_	NOUN
bracis-19040	442	9	1	1	NUM
bracis-19040	442	10	\cup	\cup	NOUN
bracis-19040	442	11	at	at	ADP
bracis-19040	442	12	_	_	NOUN
bracis-19040	442	13	2\	2\	NUM
bracis-19040	442	14	)	)	PUNCT
bracis-19040	442	15	for	for	ADP
bracis-19040	442	16	syntactically	syntactically	ADV
bracis-19040	442	17	disjoint	disjoint	VERB
bracis-19040	442	18	argumentation	argumentation	NOUN
bracis-19040	442	19	theories	theory	NOUN
bracis-19040	442	20	\	\	PROPN
bracis-19040	442	21	(	(	PUNCT
bracis-19040	442	22	at	at	ADP
bracis-19040	442	23	_	_	NOUN
bracis-19040	442	24	1\	1\	NUM
bracis-19040	442	25	)	)	PUNCT
bracis-19040	442	26	and	and	CCONJ
bracis-19040	442	27	\	\	PROPN
bracis-19040	442	28	(	(	PUNCT
bracis-19040	442	29	at	at	ADP
bracis-19040	442	30	_	_	NOUN
bracis-19040	442	31	2\	2\	NUM
bracis-19040	442	32	)	)	PUNCT
bracis-19040	442	33	and	and	CCONJ
bracis-19040	442	34	\	\	PROPN
bracis-19040	442	35	(	(	PUNCT
bracis-19040	442	36	af	af	PROPN
bracis-19040	442	37	=	=	SYM
bracis-19040	442	38	(	(	PUNCT
bracis-19040	442	39	\mathcal	\mathcal	PROPN
bracis-19040	442	40	a	a	X
bracis-19040	442	41	,	,	PUNCT
bracis-19040	442	42	\mathcal	\mathcal	PROPN
bracis-19040	442	43	d	d	NOUN
bracis-19040	442	44	,	,	PUNCT
bracis-19040	442	45	\mathcal	\mathcal	PROPN
bracis-19040	442	46	d')\	d')\	NOUN
bracis-19040	442	47	)	)	PUNCT
bracis-19040	442	48	and	and	CCONJ
bracis-19040	442	49	\	\	PROPN
bracis-19040	442	50	(	(	PUNCT
bracis-19040	442	51	af	af	X
bracis-19040	442	52	_	_	NOUN
bracis-19040	442	53	1	1	X
bracis-19040	442	54	=	=	SYM
bracis-19040	442	55	(	(	PUNCT
bracis-19040	442	56	\mathcal	\mathcal	PROPN
bracis-19040	442	57	a_1	a_1	NOUN
bracis-19040	442	58	,	,	PUNCT
bracis-19040	442	59	\mathcal	\mathcal	PROPN
bracis-19040	442	60	d_1	d_1	PROPN
bracis-19040	442	61	,	,	PUNCT
bracis-19040	442	62	\mathcal	\mathcal	PROPN
bracis-19040	442	63	d'_1)\	d'_1)\	PROPN
bracis-19040	442	64	)	)	PUNCT
bracis-19040	442	65	be	be	VERB
bracis-19040	442	66	respectively	respectively	ADV
bracis-19040	442	67	the	the	DET
bracis-19040	442	68	resulting	result	VERB
bracis-19040	442	69	inconsistency	inconsistency	NOUN
bracis-19040	442	70	-	-	PUNCT
bracis-19040	442	71	cleaned	clean	VERB
bracis-19040	442	72	\	\	PROPN
bracis-19040	442	73	(	(	PUNCT
bracis-19040	442	74	af	af	X
bracis-19040	442	75	_	_	NOUN
bracis-19040	442	76	2\)s	2\)s	NUM
bracis-19040	442	77	from	from	ADP
bracis-19040	442	78	\	\	PROPN
bracis-19040	442	79	(	(	PUNCT
bracis-19040	442	80	at	at	ADP
bracis-19040	442	81	\	\	NOUN
bracis-19040	442	82	)	)	PUNCT
bracis-19040	442	83	and	and	CCONJ
bracis-19040	442	84	\	\	PROPN
bracis-19040	442	85	(	(	PUNCT
bracis-19040	442	86	at	at	ADP
bracis-19040	442	87	_	_	NOUN
bracis-19040	442	88	1\	1\	NUM
bracis-19040	442	89	)	)	PUNCT
bracis-19040	442	90	.	.	PUNCT
bracis-19040	443	1	let	let	AUX
bracis-19040	443	2	\(\mathfrak	\(\mathfrak	PROPN
bracis-19040	443	3	s_1	s_1	PROPN
bracis-19040	443	4	=	=	SYM
bracis-19040	443	5	\left\	\left\	PROPN
bracis-19040	443	6	{	{	PUNCT
bracis-19040	443	7	b_1	b_1	PROPN
bracis-19040	443	8	,	,	PUNCT
bracis-19040	443	9	\ldots	\ldots	PROPN
bracis-19040	443	10	,	,	PUNCT
bracis-19040	443	11	b_n\right\	b_n\right\	VERB
bracis-19040	443	12	}	}	PUNCT
bracis-19040	443	13	\	\	NOUN
bracis-19040	443	14	)	)	PUNCT
bracis-19040	443	15	and	and	CCONJ
bracis-19040	443	16	\(\mathfrak	\(\mathfrak	PROPN
bracis-19040	443	17	s_2	s_2	PROPN
bracis-19040	443	18	=	=	SYM
bracis-19040	443	19	\left\	\left\	PROPN
bracis-19040	443	20	{	{	PUNCT
bracis-19040	443	21	s_1	s_1	NOUN
bracis-19040	443	22	,	,	PUNCT
bracis-19040	443	23	\ldots	\ldots	PROPN
bracis-19040	443	24	,	,	PUNCT
bracis-19040	443	25	s_m\right\	s_m\right\	PROPN
bracis-19040	443	26	}	}	PUNCT
bracis-19040	443	27	\	\	NOUN
bracis-19040	443	28	)	)	PUNCT
bracis-19040	443	29	be	be	AUX
bracis-19040	443	30	the	the	DET
bracis-19040	443	31	set	set	NOUN
bracis-19040	443	32	of	of	ADP
bracis-19040	443	33	complete	complete	ADJ
bracis-19040	443	34	extensions	extension	NOUN
bracis-19040	443	35	of	of	ADP
bracis-19040	443	36	\	\	PROPN
bracis-19040	443	37	(	(	PUNCT
bracis-19040	443	38	af	af	PROPN
bracis-19040	443	39	\	\	PROPN
bracis-19040	443	40	)	)	PUNCT
bracis-19040	443	41	and	and	CCONJ
bracis-19040	444	1	\	\	PROPN
bracis-19040	444	2	(	(	PUNCT
bracis-19040	444	3	af	af	X
bracis-19040	444	4	_	_	NOUN
bracis-19040	444	5	1\	1\	NUM
bracis-19040	444	6	)	)	PUNCT
bracis-19040	444	7	respectively	respectively	ADV
bracis-19040	444	8	.	.	PUNCT
bracis-19040	445	1	we	we	PRON
bracis-19040	445	2	will	will	AUX
bracis-19040	445	3	prove	prove	VERB
bracis-19040	445	4	that	that	SCONJ
bracis-19040	445	5	\(l	\(l	NOUN
bracis-19040	445	6	=	=	SYM
bracis-19040	445	7	r\	r\	PROPN
bracis-19040	445	8	)	)	PUNCT
bracis-19040	445	9	,	,	PUNCT
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bracis-19040	445	11	which	which	PRON
bracis-19040	445	12	\(l	\(l	NOUN
bracis-19040	445	13	=	=	SYM
bracis-19040	445	14	cn	cn	X
bracis-19040	445	15	_	_	NOUN
bracis-19040	445	16	{	{	PUNCT
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bracis-19040	445	19	}	}	PUNCT
bracis-19040	445	20	(	(	PUNCT
bracis-19040	445	21	at	at	ADP
bracis-19040	445	22	)	)	PUNCT
bracis-19040	445	23	_	_	NOUN
bracis-19040	445	24	{	{	PUNCT
bracis-19040	445	25	\mid	\mid	NOUN
bracis-19040	445	26	\texttt	\texttt	PROPN
bracis-19040	445	27	{	{	PUNCT
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bracis-19040	445	29	}	}	PUNCT
bracis-19040	445	30	(	(	PUNCT
bracis-19040	445	31	at	at	ADP
bracis-19040	445	32	_	_	NOUN
bracis-19040	445	33	1	1	NUM
bracis-19040	445	34	)	)	PUNCT
bracis-19040	445	35	}	}	PUNCT
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bracis-19040	445	38	{	{	PUNCT
bracis-19040	445	39	\mathtt	\mathtt	X
bracis-19040	445	40	{	{	PUNCT
bracis-19040	445	41	concs}(b_1)_{\mid	concs}(b_1)_{\mid	PROPN
bracis-19040	445	42	\texttt	\texttt	PROPN
bracis-19040	445	43	{	{	PUNCT
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bracis-19040	445	45	}	}	PUNCT
bracis-19040	445	46	(	(	PUNCT
bracis-19040	445	47	at	at	ADP
bracis-19040	445	48	_	_	NOUN
bracis-19040	445	49	1	1	NUM
bracis-19040	445	50	)	)	PUNCT
bracis-19040	445	51	}	}	PUNCT
bracis-19040	445	52	,	,	PUNCT
bracis-19040	445	53	\ldots	\ldots	PROPN
bracis-19040	445	54	,	,	PUNCT
bracis-19040	445	55	\mathtt	\mathtt	PROPN
bracis-19040	445	56	{	{	PUNCT
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bracis-19040	445	58	\texttt	\texttt	PROPN
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bracis-19040	445	61	}	}	PUNCT
bracis-19040	445	62	(	(	PUNCT
bracis-19040	445	63	at	at	ADP
bracis-19040	445	64	_	_	NOUN
bracis-19040	445	65	1)}\right\	1)}\right\	NUM
bracis-19040	445	66	}	}	PUNCT
bracis-19040	445	67	\	\	NOUN
bracis-19040	445	68	)	)	PUNCT
bracis-19040	445	69	,	,	PUNCT
bracis-19040	445	70	and	and	CCONJ
bracis-19040	445	71	\(r	\(r	NOUN
bracis-19040	445	72	=	=	SYM
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bracis-19040	445	74	_	_	NOUN
bracis-19040	445	75	{	{	PUNCT
bracis-19040	445	76	\textit{c	\textit{c	NOUN
bracis-19040	445	77	}	}	PUNCT
bracis-19040	445	78	}	}	PUNCT
bracis-19040	445	79	(	(	PUNCT
bracis-19040	445	80	at	at	ADP
bracis-19040	445	81	_	_	NOUN
bracis-19040	445	82	1)_{\mid	1)_{\mid	NOUN
bracis-19040	445	83	\texttt	\texttt	PROPN
bracis-19040	445	84	{	{	PUNCT
bracis-19040	445	85	atoms	atom	NOUN
bracis-19040	445	86	}	}	PUNCT
bracis-19040	445	87	(	(	PUNCT
bracis-19040	445	88	at	at	ADP
bracis-19040	445	89	_	_	NOUN
bracis-19040	445	90	1)}=	1)}=	X
bracis-19040	445	91	\left\	\left\	PROPN
bracis-19040	445	92	{	{	PUNCT
bracis-19040	445	93	\mathtt	\mathtt	PROPN
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bracis-19040	445	97	,	,	PUNCT
bracis-19040	445	98	\ldots	\ldots	PROPN
bracis-19040	445	99	,	,	PUNCT
bracis-19040	445	100	\mathtt	\mathtt	PROPN
bracis-19040	445	101	{	{	PUNCT
bracis-19040	445	102	concs}(s_m)\right\	concs}(s_m)\right\	PROPN
bracis-19040	445	103	}	}	PUNCT
bracis-19040	445	104	\	\	NOUN
bracis-19040	445	105	)	)	PUNCT
bracis-19040	445	106	.	.	PUNCT
bracis-19040	446	1	from	from	ADP
bracis-19040	446	2	lemma	lemma	PROPN
bracis-19040	446	3	2	2	NUM
bracis-19040	446	4	,	,	PUNCT
bracis-19040	446	5	\(l	\(l	NOUN
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bracis-19040	446	7	\left\	\left\	PROPN
bracis-19040	446	8	{	{	PUNCT
bracis-19040	446	9	\mathtt	\mathtt	X
bracis-19040	446	10	{	{	PUNCT
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bracis-19040	446	12	\cap	\cap	PROPN
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bracis-19040	446	14	a_1	a_1	NOUN
bracis-19040	446	15	)	)	PUNCT
bracis-19040	446	16	,	,	PUNCT
bracis-19040	446	17	\ldots	\ldots	PROPN
bracis-19040	446	18	,	,	PUNCT
bracis-19040	446	19	\mathtt	\mathtt	X
bracis-19040	446	20	{	{	PUNCT
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bracis-19040	446	23	\mathcal	\mathcal	PROPN
bracis-19040	446	24	a_1)\right\	a_1)\right\	PROPN
bracis-19040	446	25	}	}	PUNCT
bracis-19040	446	26	\	\	NOUN
bracis-19040	446	27	)	)	PUNCT
bracis-19040	446	28	.	.	PUNCT
bracis-19040	447	1	for	for	ADP
bracis-19040	447	2	each	each	DET
bracis-19040	447	3	complete	complete	ADJ
bracis-19040	447	4	extension	extension	NOUN
bracis-19040	447	5	b	b	PROPN
bracis-19040	447	6	of	of	ADP
bracis-19040	447	7	\	\	PROPN
bracis-19040	447	8	(	(	PUNCT
bracis-19040	447	9	af	af	PROPN
bracis-19040	447	10	\	\	PROPN
bracis-19040	447	11	)	)	PUNCT
bracis-19040	447	12	,	,	PUNCT
bracis-19040	447	13	\(b	\(b	PROPN
bracis-19040	447	14	\cap	\cap	PROPN
bracis-19040	447	15	\mathcal	\mathcal	PROPN
bracis-19040	447	16	a_1\	a_1\	PROPN
bracis-19040	447	17	)	)	PUNCT
bracis-19040	447	18	is	be	AUX
bracis-19040	447	19	a	a	DET
bracis-19040	447	20	complete	complete	ADJ
bracis-19040	447	21	extension	extension	NOUN
bracis-19040	447	22	of	of	ADP
bracis-19040	447	23	\	\	PROPN
bracis-19040	447	24	(	(	PUNCT
bracis-19040	447	25	af	af	X
bracis-19040	447	26	_	_	NOUN
bracis-19040	447	27	1\	1\	NUM
bracis-19040	447	28	)	)	PUNCT
bracis-19040	447	29	(	(	PUNCT
bracis-19040	447	30	lemma	lemma	PROPN
bracis-19040	447	31	5	5	NUM
bracis-19040	447	32	)	)	PUNCT
bracis-19040	447	33	.	.	PUNCT
bracis-19040	448	1	it	it	PRON
bracis-19040	448	2	remains	remain	VERB
bracis-19040	448	3	to	to	PART
bracis-19040	448	4	prove	prove	VERB
bracis-19040	448	5	for	for	ADP
bracis-19040	448	6	any	any	DET
bracis-19040	448	7	\(s	\(s	ADJ
bracis-19040	448	8	\in	\in	PROPN
bracis-19040	448	9	\mathfrak	\mathfrak	PROPN
bracis-19040	448	10	s_2\	s_2\	PROPN
bracis-19040	448	11	)	)	PUNCT
bracis-19040	448	12	,	,	PUNCT
bracis-19040	448	13	\(\exists	\(\exists	PROPN
bracis-19040	448	14	b	b	PROPN
bracis-19040	448	15	\in	\in	PROPN
bracis-19040	448	16	\mathfrak	\mathfrak	DET
bracis-19040	448	17	s_1\	s_1\	NOUN
bracis-19040	448	18	)	)	PUNCT
bracis-19040	448	19	with	with	ADP
bracis-19040	448	20	\(b	\(b	PROPN
bracis-19040	448	21	\cap	\cap	PROPN
bracis-19040	448	22	\mathcal	\mathcal	PROPN
bracis-19040	448	23	a_1	a_1	NOUN
bracis-19040	448	24	=	=	SYM
bracis-19040	448	25	s\	s\	NOUN
bracis-19040	448	26	)	)	PUNCT
bracis-19040	448	27	.	.	PUNCT
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bracis-19040	449	2	s	s	NOUN
bracis-19040	449	3	is	be	AUX
bracis-19040	449	4	a	a	DET
bracis-19040	449	5	complete	complete	ADJ
bracis-19040	449	6	extension	extension	NOUN
bracis-19040	449	7	of	of	ADP
bracis-19040	449	8	\	\	PROPN
bracis-19040	449	9	(	(	PUNCT
bracis-19040	449	10	af	af	X
bracis-19040	449	11	_	_	NOUN
bracis-19040	449	12	1\	1\	NUM
bracis-19040	449	13	)	)	PUNCT
bracis-19040	449	14	(	(	PUNCT
bracis-19040	449	15	\(s	\(	VERB
bracis-19040	449	16	=	=	SYM
bracis-19040	449	17	f	f	SYM
bracis-19040	449	18	_	_	PUNCT
bracis-19040	449	19	{	{	PUNCT
bracis-19040	449	20	af	af	X
bracis-19040	449	21	_	_	NOUN
bracis-19040	449	22	1}(s)\	1}(s)\	NUM
bracis-19040	449	23	)	)	PUNCT
bracis-19040	449	24	)	)	PUNCT
bracis-19040	449	25	,	,	PUNCT
bracis-19040	449	26	s	s	VERB
bracis-19040	449	27	is	be	AUX
bracis-19040	449	28	an	an	DET
bracis-19040	449	29	admissible	admissible	ADJ
bracis-19040	449	30	set	set	NOUN
bracis-19040	449	31	in	in	ADP
bracis-19040	449	32	\	\	PROPN
bracis-19040	449	33	(	(	PUNCT
bracis-19040	449	34	af	af	PROPN
bracis-19040	449	35	\	\	PROPN
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bracis-19040	449	37	(	(	PUNCT
bracis-19040	449	38	lemma	lemma	PROPN
bracis-19040	449	39	6	6	NUM
bracis-19040	449	40	)	)	PUNCT
bracis-19040	449	41	,	,	PUNCT
bracis-19040	449	42	i.e.	i.e.	X
bracis-19040	449	43	,	,	PUNCT
bracis-19040	449	44	\(s	\(	VERB
bracis-19040	449	45	\subseteq	\subseteq	PROPN
bracis-19040	449	46	f	f	PROPN
bracis-19040	449	47	_	_	PRON
bracis-19040	449	48	{	{	PUNCT
bracis-19040	449	49	af	af	PROPN
bracis-19040	449	50	}	}	PUNCT
bracis-19040	449	51	(	(	PUNCT
bracis-19040	449	52	s)\	s)\	NOUN
bracis-19040	449	53	)	)	PUNCT
bracis-19040	449	54	.	.	PUNCT
bracis-19040	450	1	then	then	ADV
bracis-19040	450	2	\(b	\(b	NOUN
bracis-19040	450	3	=	=	PUNCT
bracis-19040	450	4	\bigcup	\bigcup	VERB
bracis-19040	450	5	^{\infty	^{\infty	ADJ
bracis-19040	450	6	}	}	PUNCT
bracis-19040	450	7	_	_	PRON
bracis-19040	450	8	{	{	PUNCT
bracis-19040	450	9	n=1	n=1	PROPN
bracis-19040	450	10	}	}	PUNCT
bracis-19040	450	11	f^n	f^n	NOUN
bracis-19040	450	12	_	_	PRON
bracis-19040	450	13	{	{	PUNCT
bracis-19040	450	14	af	af	PROPN
bracis-19040	450	15	}	}	PUNCT
bracis-19040	450	16	(	(	PUNCT
bracis-19040	450	17	s)\	s)\	NOUN
bracis-19040	450	18	)	)	PUNCT
bracis-19040	450	19	is	be	AUX
bracis-19040	450	20	a	a	DET
bracis-19040	450	21	complete	complete	ADJ
bracis-19040	450	22	extension	extension	NOUN
bracis-19040	450	23	of	of	ADP
bracis-19040	450	24	\	\	PROPN
bracis-19040	450	25	(	(	PUNCT
bracis-19040	450	26	af	af	PROPN
bracis-19040	450	27	\	\	PROPN
bracis-19040	450	28	)	)	PUNCT
bracis-19040	450	29	as	as	ADP
bracis-19040	450	30	the	the	DET
bracis-19040	450	31	least	least	ADV
bracis-19040	450	32	fixed	fixed	ADJ
bracis-19040	450	33	point	point	NOUN
bracis-19040	450	34	of	of	ADP
bracis-19040	450	35	\(f	\(f	X
bracis-19040	450	36	_	_	NOUN
bracis-19040	450	37	{	{	PUNCT
bracis-19040	450	38	af	af	NOUN
bracis-19040	450	39	}	}	PUNCT
bracis-19040	450	40	\	\	NOUN
bracis-19040	450	41	)	)	PUNCT
bracis-19040	450	42	contains	contain	VERB
bracis-19040	450	43	s.	s.	PROPN
bracis-19040	450	44	we	we	PRON
bracis-19040	450	45	will	will	AUX
bracis-19040	450	46	prove	prove	VERB
bracis-19040	450	47	that	that	SCONJ
bracis-19040	450	48	\(b	\(b	PROPN
bracis-19040	450	49	\cap	\cap	PROPN
bracis-19040	450	50	\mathcal	\mathcal	PROPN
bracis-19040	450	51	a_1	a_1	NOUN
bracis-19040	450	52	=	=	SYM
bracis-19040	450	53	s\	s\	NOUN
bracis-19040	450	54	)	)	PUNCT
bracis-19040	450	55	.	.	PUNCT
bracis-19040	451	1	intersecting	intersect	VERB
bracis-19040	451	2	both	both	DET
bracis-19040	451	3	sides	side	NOUN
bracis-19040	451	4	of	of	ADP
bracis-19040	451	5	\(b	\(b	NOUN
bracis-19040	451	6	=	=	PUNCT
bracis-19040	451	7	\bigcup	\bigcup	VERB
bracis-19040	451	8	^{\infty	^{\infty	ADJ
bracis-19040	451	9	}	}	PUNCT
bracis-19040	451	10	_	_	PRON
bracis-19040	451	11	{	{	PUNCT
bracis-19040	451	12	n=1	n=1	PROPN
bracis-19040	451	13	}	}	PUNCT
bracis-19040	451	14	f^n	f^n	NOUN
bracis-19040	451	15	_	_	PRON
bracis-19040	451	16	{	{	PUNCT
bracis-19040	451	17	af	af	PROPN
bracis-19040	451	18	}	}	PUNCT
bracis-19040	451	19	(	(	PUNCT
bracis-19040	451	20	s)\	s)\	NOUN
bracis-19040	451	21	)	)	PUNCT
bracis-19040	451	22	with	with	ADP
bracis-19040	451	23	\(\mathcal	\(\mathcal	ADJ
bracis-19040	451	24	a_1\	a_1\	PRON
bracis-19040	451	25	)	)	PUNCT
bracis-19040	451	26	,	,	PUNCT
bracis-19040	451	27	and	and	CCONJ
bracis-19040	451	28	applying	apply	VERB
bracis-19040	451	29	lemma	lemma	PROPN
bracis-19040	451	30	3	3	NUM
bracis-19040	451	31	,	,	PUNCT
bracis-19040	451	32	we	we	PRON
bracis-19040	451	33	get	get	VERB
bracis-19040	451	34	\(b	\(b	PROPN
bracis-19040	451	35	\cap	\cap	PROPN
bracis-19040	451	36	\mathcal	\mathcal	PROPN
bracis-19040	451	37	a_1	a_1	NOUN
bracis-19040	451	38	=	=	PUNCT
bracis-19040	451	39	(	(	PUNCT
bracis-19040	451	40	\bigcup	\bigcup	PROPN
bracis-19040	451	41	^{\infty	^{\infty	PUNCT
bracis-19040	451	42	}	}	PUNCT
bracis-19040	451	43	_	_	PRON
bracis-19040	451	44	{	{	PUNCT
bracis-19040	451	45	n=1	n=1	PROPN
bracis-19040	451	46	}	}	PUNCT
bracis-19040	451	47	f^n	f^n	NOUN
bracis-19040	451	48	_	_	PRON
bracis-19040	451	49	{	{	PUNCT
bracis-19040	451	50	af	af	PROPN
bracis-19040	451	51	}	}	PUNCT
bracis-19040	451	52	(	(	PUNCT
bracis-19040	451	53	s	s	NOUN
bracis-19040	451	54	)	)	PUNCT
bracis-19040	451	55	)	)	PUNCT
bracis-19040	452	1	\cap	\cap	PROPN
bracis-19040	452	2	\mathcal	\mathcal	PROPN
bracis-19040	452	3	a_1	a_1	NOUN
bracis-19040	452	4	=	=	PUNCT
bracis-19040	452	5	\bigcup	\bigcup	VERB
bracis-19040	452	6	^{\infty	^{\infty	ADJ
bracis-19040	452	7	}	}	PUNCT
bracis-19040	452	8	_	_	PRON
bracis-19040	452	9	{	{	PUNCT
bracis-19040	452	10	n=1	n=1	PROPN
bracis-19040	452	11	}	}	PUNCT
bracis-19040	452	12	f^n	f^n	NOUN
bracis-19040	452	13	_	_	PRON
bracis-19040	452	14	{	{	PUNCT
bracis-19040	452	15	af	af	PROPN
bracis-19040	452	16	}	}	PUNCT
bracis-19040	452	17	(	(	PUNCT
bracis-19040	452	18	s	s	NOUN
bracis-19040	452	19	)	)	PUNCT
bracis-19040	452	20	\cap	\cap	PROPN
bracis-19040	452	21	\mathcal	\mathcal	PROPN
bracis-19040	452	22	a_1	a_1	NOUN
bracis-19040	452	23	=	=	PUNCT
bracis-19040	452	24	\bigcup	\bigcup	VERB
bracis-19040	452	25	^{\infty	^{\infty	ADJ
bracis-19040	452	26	}	}	PUNCT
bracis-19040	452	27	_	_	PRON
bracis-19040	452	28	{	{	PUNCT
bracis-19040	452	29	n=1	n=1	PROPN
bracis-19040	452	30	}	}	PUNCT
bracis-19040	452	31	f^n	f^n	NOUN
bracis-19040	452	32	_	_	PRON
bracis-19040	452	33	{	{	PUNCT
bracis-19040	452	34	af	af	X
bracis-19040	452	35	_	_	NOUN
bracis-19040	452	36	1}(s	1}(s	NUM
bracis-19040	452	37	)	)	PUNCT
bracis-19040	453	1	=	=	VERB
bracis-19040	453	2	\bigcup	\bigcup	VERB
bracis-19040	453	3	^{\infty	^{\infty	ADJ
bracis-19040	453	4	}	}	PUNCT
bracis-19040	453	5	_	_	PRON
bracis-19040	453	6	{	{	PUNCT
bracis-19040	453	7	n=1	n=1	PROPN
bracis-19040	453	8	}	}	PUNCT
bracis-19040	453	9	s	s	PART
bracis-19040	453	10	=	=	PUNCT
bracis-19040	453	11	s\	s\	NOUN
bracis-19040	453	12	)	)	PUNCT
bracis-19040	453	13	.	.	PUNCT
bracis-19040	453	14	   	   	SPACE
bracis-19040	453	15	\(\square	\(\square	VERB
bracis-19040	453	16	\	\	NOUN
bracis-19040	453	17	)	)	PUNCT
bracis-19040	454	1	\	\	NOUN
bracis-19040	454	2	(	(	PUNCT
bracis-19040	454	3	aspic	aspic	NOUN
bracis-19040	454	4	^?\	^?\	NUM
bracis-19040	454	5	)	)	PUNCT
bracis-19040	454	6	is	be	AUX
bracis-19040	454	7	non	non	ADJ
bracis-19040	454	8	trivial	trivial	ADJ
bracis-19040	454	9	under	under	ADP
bracis-19040	454	10	semantics	semantic	NOUN
bracis-19040	454	11	\	\	PROPN
bracis-19040	454	12	(	(	PUNCT
bracis-19040	454	13	sem	sem	PROPN
bracis-19040	454	14	\	\	NOUN
bracis-19040	454	15	)	)	PUNCT
bracis-19040	454	16	if	if	SCONJ
bracis-19040	454	17	the	the	DET
bracis-19040	454	18	conclusions	conclusion	NOUN
bracis-19040	454	19	of	of	ADP
bracis-19040	454	20	an	an	DET
bracis-19040	454	21	argumentation	argumentation	NOUN
bracis-19040	454	22	theory	theory	NOUN
bracis-19040	454	23	are	be	AUX
bracis-19040	454	24	never	never	ADV
bracis-19040	454	25	fully	fully	ADV
bracis-19040	454	26	determined	determine	VERB
bracis-19040	454	27	by	by	ADP
bracis-19040	454	28	the	the	DET
bracis-19040	454	29	atoms	atom	NOUN
bracis-19040	454	30	.	.	PUNCT
bracis-19040	455	1	definition	definition	NOUN
bracis-19040	455	2	23	23	NUM
bracis-19040	455	3	(	(	PUNCT
bracis-19040	455	4	non	non	ADJ
bracis-19040	455	5	-	-	ADJ
bracis-19040	455	6	trivial	trivial	ADJ
bracis-19040	455	7	)	)	PUNCT
bracis-19040	455	8	.	.	PUNCT
bracis-19040	456	1	the	the	DET
bracis-19040	456	2	\	\	NOUN
bracis-19040	456	3	(	(	PUNCT
bracis-19040	456	4	aspic	aspic	NOUN
bracis-19040	456	5	^?\	^?\	NUM
bracis-19040	456	6	)	)	PUNCT
bracis-19040	456	7	system	system	NOUN
bracis-19040	456	8	is	be	AUX
bracis-19040	456	9	non	non	ADJ
bracis-19040	456	10	-	-	ADJ
bracis-19040	456	11	trivial	trivial	ADJ
bracis-19040	456	12	under	under	ADP
bracis-19040	456	13	semantics	semantic	NOUN
bracis-19040	456	14	\	\	PROPN
bracis-19040	456	15	(	(	PUNCT
bracis-19040	456	16	sem	sem	PROPN
bracis-19040	456	17	\	\	PROPN
bracis-19040	456	18	)	)	PUNCT
bracis-19040	456	19	iff	iff	NOUN
bracis-19040	456	20	for	for	ADP
bracis-19040	456	21	each	each	DET
bracis-19040	456	22	nonempty	nonempty	ADV
bracis-19040	456	23	set	set	VERB
bracis-19040	456	24	\(\mathfrak	\(\mathfrak	PROPN
bracis-19040	456	25	a\	a\	PROPN
bracis-19040	456	26	)	)	PUNCT
bracis-19040	456	27	of	of	ADP
bracis-19040	456	28	atoms	atom	NOUN
bracis-19040	456	29	,	,	PUNCT
bracis-19040	456	30	there	there	PRON
bracis-19040	456	31	are	be	VERB
bracis-19040	456	32	argumentation	argumentation	NOUN
bracis-19040	456	33	theories	theory	NOUN
bracis-19040	456	34	\	\	PROPN
bracis-19040	456	35	(	(	PUNCT
bracis-19040	456	36	at	at	ADP
bracis-19040	456	37	_	_	NOUN
bracis-19040	456	38	1\	1\	NUM
bracis-19040	456	39	)	)	PUNCT
bracis-19040	456	40	and	and	CCONJ
bracis-19040	456	41	\	\	PROPN
bracis-19040	456	42	(	(	PUNCT
bracis-19040	456	43	at	at	ADP
bracis-19040	456	44	_	_	NOUN
bracis-19040	456	45	2\	2\	NOUN
bracis-19040	456	46	)	)	PUNCT
bracis-19040	456	47	such	such	ADJ
bracis-19040	456	48	that	that	DET
bracis-19040	456	49	\(\texttt	\(\texttt	NOUN
bracis-19040	456	50	{	{	PUNCT
bracis-19040	456	51	atoms	atom	NOUN
bracis-19040	456	52	}	}	PUNCT
bracis-19040	456	53	(	(	PUNCT
bracis-19040	456	54	at	at	ADP
bracis-19040	456	55	_	_	NOUN
bracis-19040	456	56	1	1	NUM
bracis-19040	456	57	)	)	PUNCT
bracis-19040	457	1	=	=	SYM
bracis-19040	457	2	\texttt	\texttt	PROPN
bracis-19040	457	3	{	{	PUNCT
bracis-19040	457	4	atoms	atom	NOUN
bracis-19040	457	5	}	}	PUNCT
bracis-19040	457	6	(	(	PUNCT
bracis-19040	457	7	at	at	ADP
bracis-19040	457	8	_	_	NOUN
bracis-19040	457	9	2)\	2)\	NUM
bracis-19040	457	10	)	)	PUNCT
bracis-19040	457	11	and	and	CCONJ
bracis-19040	457	12	\	\	PROPN
bracis-19040	457	13	(	(	PUNCT
bracis-19040	457	14	cn	cn	X
bracis-19040	457	15	_	_	PROPN
bracis-19040	457	16	{	{	PUNCT
bracis-19040	457	17	sem	sem	PROPN
bracis-19040	457	18	}	}	PUNCT
bracis-19040	457	19	(	(	PUNCT
bracis-19040	457	20	at	at	ADP
bracis-19040	457	21	_	_	PROPN
bracis-19040	457	22	1)_{\mid	1)_{\mid	NUM
bracis-19040	457	23	\mathfrak	\mathfrak	ADP
bracis-19040	457	24	a	a	DET
bracis-19040	457	25	}	}	PUNCT
bracis-19040	457	26	\ne	\ne	PROPN
bracis-19040	457	27	cn	cn	X
bracis-19040	457	28	_	_	PROPN
bracis-19040	457	29	{	{	PUNCT
bracis-19040	457	30	sem	sem	PROPN
bracis-19040	457	31	}	}	PUNCT
bracis-19040	457	32	(	(	PUNCT
bracis-19040	457	33	at	at	ADP
bracis-19040	457	34	_	_	NOUN
bracis-19040	457	35	2)_{\mid	2)_{\mid	NOUN
bracis-19040	457	36	\mathfrak	\mathfrak	ADP
bracis-19040	457	37	a}\	a}\	NUM
bracis-19040	457	38	)	)	PUNCT
bracis-19040	457	39	.	.	PUNCT
bracis-19040	458	1	in	in	ADP
bracis-19040	458	2	the	the	DET
bracis-19040	458	3	following	following	NOUN
bracis-19040	458	4	theorem	theorem	NOUN
bracis-19040	458	5	,	,	PUNCT
bracis-19040	458	6	we	we	PRON
bracis-19040	458	7	show	show	VERB
bracis-19040	458	8	that	that	SCONJ
bracis-19040	458	9	the	the	DET
bracis-19040	458	10	inconsistency	inconsistency	NOUN
bracis-19040	458	11	-	-	PUNCT
bracis-19040	458	12	cleaned	clean	VERB
bracis-19040	458	13	version	version	NOUN
bracis-19040	458	14	of	of	ADP
bracis-19040	458	15	the	the	DET
bracis-19040	458	16	\	\	NOUN
bracis-19040	458	17	(	(	PUNCT
bracis-19040	458	18	aspic	aspic	NOUN
bracis-19040	458	19	^?\	^?\	NUM
bracis-19040	458	20	)	)	PUNCT
bracis-19040	458	21	system	system	NOUN
bracis-19040	458	22	satisfies	satisfy	VERB
bracis-19040	458	23	non	non	ADJ
bracis-19040	458	24	-	-	NOUN
bracis-19040	458	25	triviality	triviality	NOUN
bracis-19040	458	26	under	under	ADP
bracis-19040	458	27	complete	complete	ADJ
bracis-19040	458	28	semantics	semantic	NOUN
bracis-19040	458	29	:	:	PUNCT
bracis-19040	458	30	theorem	theorem	VERB
bracis-19040	458	31	2	2	NUM
bracis-19040	458	32	the	the	DET
bracis-19040	458	33	inconsistency	inconsistency	NOUN
bracis-19040	458	34	-	-	PUNCT
bracis-19040	458	35	cleaned	clean	VERB
bracis-19040	458	36	version	version	NOUN
bracis-19040	458	37	of	of	ADP
bracis-19040	458	38	the	the	DET
bracis-19040	458	39	\	\	NOUN
bracis-19040	458	40	(	(	PUNCT
bracis-19040	458	41	aspic	aspic	NOUN
bracis-19040	458	42	^?\	^?\	NUM
bracis-19040	458	43	)	)	PUNCT
bracis-19040	458	44	system	system	NOUN
bracis-19040	458	45	satisfies	satisfy	VERB
bracis-19040	458	46	non	non	ADJ
bracis-19040	458	47	-	-	NOUN
bracis-19040	458	48	triviality	triviality	NOUN
bracis-19040	458	49	under	under	ADP
bracis-19040	458	50	complete	complete	ADJ
bracis-19040	458	51	semantics	semantic	NOUN
bracis-19040	458	52	.	.	PUNCT
bracis-19040	459	1	proof	proof	NOUN
bracis-19040	459	2	let	let	VERB
bracis-19040	459	3	\(\mathfrak	\(\mathfrak	PROPN
bracis-19040	459	4	a	a	DET
bracis-19040	459	5	=	=	PUNCT
bracis-19040	459	6	\left\	\left\	PROPN
bracis-19040	459	7	{	{	PUNCT
bracis-19040	459	8	a_1	a_1	NOUN
bracis-19040	459	9	,	,	PUNCT
bracis-19040	459	10	\ldots	\ldots	INTJ
bracis-19040	459	11	,	,	PUNCT
bracis-19040	459	12	a_n\right\	a_n\right\	VERB
bracis-19040	459	13	}	}	PUNCT
bracis-19040	459	14	(	(	PUNCT
bracis-19040	459	15	n	n	X
bracis-19040	459	16	\ge	\ge	PROPN
bracis-19040	459	17	1)\	1)\	NUM
bracis-19040	459	18	)	)	PUNCT
bracis-19040	459	19	a	a	DET
bracis-19040	459	20	set	set	NOUN
bracis-19040	459	21	of	of	ADP
bracis-19040	459	22	atoms	atom	NOUN
bracis-19040	459	23	.	.	PUNCT
bracis-19040	460	1	we	we	PRON
bracis-19040	460	2	will	will	AUX
bracis-19040	460	3	show	show	VERB
bracis-19040	460	4	that	that	SCONJ
bracis-19040	460	5	there	there	PRON
bracis-19040	460	6	are	be	VERB
bracis-19040	460	7	two	two	NUM
bracis-19040	460	8	inconsistency	inconsistency	NOUN
bracis-19040	460	9	-	-	PUNCT
bracis-19040	460	10	cleaned	clean	VERB
bracis-19040	460	11	argumentation	argumentation	NOUN
bracis-19040	460	12	frameworks	framework	NOUN
bracis-19040	460	13	\	\	PROPN
bracis-19040	460	14	(	(	PUNCT
bracis-19040	460	15	af	af	X
bracis-19040	460	16	_	_	NOUN
bracis-19040	460	17	1	1	X
bracis-19040	460	18	=	=	SYM
bracis-19040	460	19	(	(	PUNCT
bracis-19040	460	20	\mathcal	\mathcal	X
bracis-19040	460	21	a_1,\mathcal	a_1,\mathcal	PUNCT
bracis-19040	460	22	d_1	d_1	NOUN
bracis-19040	460	23	,	,	PUNCT
bracis-19040	460	24	\mathcal	\mathcal	ADJ
bracis-19040	460	25	d_1')\	d_1')\	NOUN
bracis-19040	460	26	)	)	PUNCT
bracis-19040	460	27	and	and	CCONJ
bracis-19040	460	28	\	\	PROPN
bracis-19040	460	29	(	(	PUNCT
bracis-19040	460	30	af	af	X
bracis-19040	460	31	_	_	NOUN
bracis-19040	460	32	2	2	X
bracis-19040	460	33	=	=	SYM
bracis-19040	460	34	(	(	PUNCT
bracis-19040	460	35	\mathcal	\mathcal	PROPN
bracis-19040	460	36	a_2,\mathcal	a_2,\mathcal	PROPN
bracis-19040	460	37	d_2	d_2	PROPN
bracis-19040	460	38	,	,	PUNCT
bracis-19040	460	39	\mathcal	\mathcal	PROPN
bracis-19040	460	40	d'_2)\	d'_2)\	NOUN
bracis-19040	460	41	)	)	PUNCT
bracis-19040	460	42	resulting	result	VERB
bracis-19040	460	43	from	from	ADP
bracis-19040	460	44	\	\	PROPN
bracis-19040	460	45	(	(	PUNCT
bracis-19040	460	46	at	at	ADP
bracis-19040	460	47	_	_	NOUN
bracis-19040	460	48	1\	1\	NUM
bracis-19040	460	49	)	)	PUNCT
bracis-19040	460	50	and	and	CCONJ
bracis-19040	460	51	\	\	PROPN
bracis-19040	460	52	(	(	PUNCT
bracis-19040	460	53	at	at	ADP
bracis-19040	460	54	_	_	NOUN
bracis-19040	460	55	2\	2\	NOUN
bracis-19040	460	56	)	)	PUNCT
bracis-19040	460	57	respectively	respectively	ADV
bracis-19040	460	58	such	such	ADJ
bracis-19040	460	59	that	that	DET
bracis-19040	460	60	\(\texttt	\(\texttt	NOUN
bracis-19040	460	61	{	{	PUNCT
bracis-19040	460	62	atoms	atom	NOUN
bracis-19040	460	63	}	}	PUNCT
bracis-19040	460	64	(	(	PUNCT
bracis-19040	460	65	at	at	ADP
bracis-19040	460	66	_	_	PRON
bracis-19040	460	67	1)=	1)=	NUM
bracis-19040	460	68	\texttt	\texttt	PROPN
bracis-19040	460	69	{	{	PUNCT
bracis-19040	460	70	atoms	atom	NOUN
bracis-19040	460	71	}	}	PUNCT
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bracis-19040	460	74	_	_	NOUN
bracis-19040	460	75	2)\	2)\	NUM
bracis-19040	460	76	)	)	PUNCT
bracis-19040	460	77	and	and	CCONJ
bracis-19040	460	78	\	\	PROPN
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bracis-19040	460	81	_	_	PUNCT
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bracis-19040	460	83	\textit{c	\textit{c	NOUN
bracis-19040	460	84	}	}	PUNCT
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bracis-19040	460	86	(	(	PUNCT
bracis-19040	460	87	at	at	ADP
bracis-19040	460	88	_	_	PROPN
bracis-19040	460	89	1)_{\mid	1)_{\mid	NUM
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bracis-19040	460	91	a	a	PRON
bracis-19040	460	92	}	}	PUNCT
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bracis-19040	460	95	_	_	PUNCT
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bracis-19040	460	100	(	(	PUNCT
bracis-19040	460	101	at	at	ADP
bracis-19040	460	102	_	_	NOUN
bracis-19040	460	103	2)_{\mid	2)_{\mid	NOUN
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bracis-19040	460	105	a}\	a}\	NUM
bracis-19040	460	106	)	)	PUNCT
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bracis-19040	461	2	\(\mathcal	\(\mathcal	ADJ
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bracis-19040	461	4	}	}	PUNCT
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bracis-19040	462	1	\mathcal	\mathcal	ADJ
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bracis-19040	462	6	\	\	NOUN
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bracis-19040	462	8	,	,	PUNCT
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bracis-19040	462	10	k_{p_1	k_{p_1	PUNCT
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bracis-19040	462	14	{	{	PUNCT
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bracis-19040	462	29	{	{	PUNCT
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bracis-19040	462	41	\right\	\right\	ADJ
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bracis-19040	462	43	\	\	NOUN
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bracis-19040	462	46	\(\mathcal	\(\mathcal	ADJ
bracis-19040	462	47	r_{s_1	r_{s_1	NOUN
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bracis-19040	462	49	=	=	SYM
bracis-19040	462	50	\mathcal	\mathcal	NOUN
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bracis-19040	462	59	\	\	NOUN
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bracis-19040	463	6	_	_	PUNCT
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bracis-19040	463	9	}	}	PUNCT
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bracis-19040	463	11	(	(	PUNCT
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bracis-19040	463	13	_	_	NOUN
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bracis-19040	463	20	{	{	PUNCT
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bracis-19040	463	47	{	{	PUNCT
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bracis-19040	463	64	(	(	PUNCT
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bracis-19040	464	7	(	(	PUNCT
bracis-19040	464	8	at	at	ADP
bracis-19040	464	9	_	_	PROPN
bracis-19040	464	10	1)_{\mid	1)_{\mid	NUM
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bracis-19040	464	21	(	(	PUNCT
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bracis-19040	464	23	_	_	NOUN
bracis-19040	464	24	2)_{\mid	2)_{\mid	NOUN
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bracis-19040	464	30	_	_	NOUN
bracis-19040	464	31	{	{	PUNCT
bracis-19040	464	32	\textit{c	\textit{c	NOUN
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bracis-19040	464	35	(	(	PUNCT
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bracis-19040	464	37	_	_	NOUN
bracis-19040	464	38	2)\	2)\	NUM
bracis-19040	464	39	)	)	PUNCT
bracis-19040	464	40	.	.	PUNCT
bracis-19040	464	41	   	   	SPACE
bracis-19040	464	42	\(\square	\(\square	VERB
bracis-19040	464	43	\	\	NOUN
bracis-19040	464	44	)	)	PUNCT
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bracis-19040	464	46	argumentation	argumentation	NOUN
bracis-19040	464	47	theory	theory	NOUN
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bracis-19040	464	50	at	at	ADP
bracis-19040	464	51	_	_	NOUN
bracis-19040	464	52	1\	1\	NUM
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bracis-19040	464	55	contaminating	contaminate	VERB
bracis-19040	464	56	when	when	SCONJ
bracis-19040	464	57	any	any	DET
bracis-19040	464	58	other	other	ADJ
bracis-19040	464	59	unrelated	unrelated	ADJ
bracis-19040	464	60	argumentation	argumentation	NOUN
bracis-19040	464	61	theory	theory	NOUN
bracis-19040	464	62	\	\	PROPN
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bracis-19040	464	64	at	at	ADP
bracis-19040	464	65	_	_	NOUN
bracis-19040	464	66	2\	2\	NUM
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bracis-19040	464	69	irrelevant	irrelevant	ADJ
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bracis-19040	464	71	merged	merge	VERB
bracis-19040	464	72	with	with	ADP
bracis-19040	464	73	\	\	PROPN
bracis-19040	464	74	(	(	PUNCT
bracis-19040	464	75	at	at	ADP
bracis-19040	464	76	_	_	NOUN
bracis-19040	464	77	1\	1\	NUM
bracis-19040	464	78	):	):	PUNCT
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bracis-19040	464	80	24	24	NUM
bracis-19040	464	81	(	(	PUNCT
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bracis-19040	464	83	)	)	PUNCT
bracis-19040	464	84	.	.	PUNCT
bracis-19040	465	1	an	an	DET
bracis-19040	465	2	argumentation	argumentation	NOUN
bracis-19040	465	3	theory	theory	NOUN
bracis-19040	465	4	\	\	PROPN
bracis-19040	465	5	(	(	PUNCT
bracis-19040	465	6	at	at	ADP
bracis-19040	465	7	_	_	NOUN
bracis-19040	465	8	1\	1\	NUM
bracis-19040	465	9	)	)	PUNCT
bracis-19040	465	10	is	be	AUX
bracis-19040	465	11	contaminating	contaminate	VERB
bracis-19040	465	12	under	under	ADP
bracis-19040	465	13	a	a	DET
bracis-19040	465	14	semantics	semantic	NOUN
bracis-19040	465	15	\	\	PROPN
bracis-19040	465	16	(	(	PUNCT
bracis-19040	465	17	sem	sem	PROPN
bracis-19040	465	18	\	\	PROPN
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bracis-19040	465	20	iff	iff	NOUN
bracis-19040	465	21	for	for	ADP
bracis-19040	465	22	every	every	DET
bracis-19040	465	23	argumentation	argumentation	NOUN
bracis-19040	465	24	theory	theory	NOUN
bracis-19040	465	25	\	\	PROPN
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bracis-19040	465	27	at	at	ADP
bracis-19040	465	28	_	_	NOUN
bracis-19040	465	29	2\	2\	X
bracis-19040	465	30	)	)	PUNCT
bracis-19040	465	31	s.t	s.t	PROPN
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bracis-19040	466	1	\	\	PROPN
bracis-19040	466	2	(	(	PUNCT
bracis-19040	466	3	at	at	ADP
bracis-19040	466	4	_	_	NOUN
bracis-19040	466	5	1\	1\	NUM
bracis-19040	466	6	)	)	PUNCT
bracis-19040	466	7	and	and	CCONJ
bracis-19040	466	8	\	\	PROPN
bracis-19040	466	9	(	(	PUNCT
bracis-19040	466	10	at	at	ADP
bracis-19040	466	11	_	_	NOUN
bracis-19040	466	12	2\	2\	NUM
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bracis-19040	466	16	disjoint	disjoint	ADJ
bracis-19040	466	17	,	,	PUNCT
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bracis-19040	466	19	holds	hold	VERB
bracis-19040	466	20	\	\	PROPN
bracis-19040	466	21	(	(	PUNCT
bracis-19040	466	22	cn	cn	X
bracis-19040	466	23	_	_	PROPN
bracis-19040	466	24	{	{	PUNCT
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bracis-19040	466	32	=	=	PUNCT
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bracis-19040	467	2	_	_	PUNCT
bracis-19040	467	3	{	{	PUNCT
bracis-19040	467	4	sem	sem	PROPN
bracis-19040	467	5	}	}	PUNCT
bracis-19040	467	6	(	(	PUNCT
bracis-19040	467	7	at	at	ADP
bracis-19040	467	8	_	_	NOUN
bracis-19040	467	9	1	1	NUM
bracis-19040	467	10	\cup	\cup	NOUN
bracis-19040	467	11	at	at	ADP
bracis-19040	467	12	_	_	NOUN
bracis-19040	467	13	2)\	2)\	NUM
bracis-19040	467	14	)	)	PUNCT
bracis-19040	467	15	.	.	PUNCT
bracis-19040	468	1	crash	crash	NOUN
bracis-19040	468	2	-	-	PUNCT
bracis-19040	468	3	resistance	resistance	NOUN
bracis-19040	468	4	is	be	AUX
bracis-19040	468	5	strongly	strongly	ADV
bracis-19040	468	6	related	relate	VERB
bracis-19040	468	7	to	to	ADP
bracis-19040	468	8	the	the	DET
bracis-19040	468	9	concept	concept	NOUN
bracis-19040	468	10	of	of	ADP
bracis-19040	468	11	contamination	contamination	NOUN
bracis-19040	468	12	:	:	PUNCT
bracis-19040	468	13	definition	definition	NOUN
bracis-19040	468	14	25	25	NUM
bracis-19040	468	15	(	(	PUNCT
bracis-19040	468	16	crash	crash	NOUN
bracis-19040	468	17	-	-	PUNCT
bracis-19040	468	18	resistance	resistance	NOUN
bracis-19040	468	19	)	)	PUNCT
bracis-19040	468	20	.	.	PUNCT
bracis-19040	469	1	we	we	PRON
bracis-19040	469	2	say	say	VERB
bracis-19040	469	3	that	that	SCONJ
bracis-19040	469	4	\	\	PROPN
bracis-19040	469	5	(	(	PUNCT
bracis-19040	469	6	aspic	aspic	NOUN
bracis-19040	469	7	^?\	^?\	NUM
bracis-19040	469	8	)	)	PUNCT
bracis-19040	469	9	under	under	ADP
bracis-19040	469	10	a	a	DET
bracis-19040	469	11	semantics	semantic	NOUN
bracis-19040	469	12	\	\	PROPN
bracis-19040	469	13	(	(	PUNCT
bracis-19040	469	14	sem	sem	PROPN
bracis-19040	469	15	\	\	NOUN
bracis-19040	469	16	)	)	PUNCT
bracis-19040	469	17	satisfies	satisfy	VERB
bracis-19040	469	18	crash	crash	NOUN
bracis-19040	469	19	-	-	PUNCT
bracis-19040	469	20	resistance	resistance	NOUN
bracis-19040	469	21	iff	iff	NOUN
bracis-19040	469	22	there	there	PRON
bracis-19040	469	23	does	do	AUX
bracis-19040	469	24	not	not	PART
bracis-19040	469	25	exists	exist	VERB
bracis-19040	469	26	an	an	DET
bracis-19040	469	27	argumentation	argumentation	NOUN
bracis-19040	469	28	theory	theory	NOUN
bracis-19040	469	29	\	\	PROPN
bracis-19040	469	30	(	(	PUNCT
bracis-19040	469	31	at	at	ADP
bracis-19040	469	32	\	\	NOUN
bracis-19040	469	33	)	)	PUNCT
bracis-19040	469	34	that	that	PRON
bracis-19040	469	35	is	be	AUX
bracis-19040	469	36	contaminating	contaminate	VERB
bracis-19040	469	37	under	under	ADP
bracis-19040	469	38	\	\	PROPN
bracis-19040	469	39	(	(	PUNCT
bracis-19040	469	40	sem	sem	PROPN
bracis-19040	469	41	\	\	PROPN
bracis-19040	469	42	)	)	PUNCT
bracis-19040	469	43	.	.	PUNCT
bracis-19040	470	1	the	the	DET
bracis-19040	470	2	intuition	intuition	NOUN
bracis-19040	470	3	behind	behind	ADP
bracis-19040	470	4	crash	crash	NOUN
bracis-19040	470	5	-	-	PUNCT
bracis-19040	470	6	resistance	resistance	NOUN
bracis-19040	470	7	is	be	AUX
bracis-19040	470	8	that	that	SCONJ
bracis-19040	470	9	one	one	PRON
bracis-19040	470	10	wants	want	VERB
bracis-19040	470	11	to	to	PART
bracis-19040	470	12	avoid	avoid	VERB
bracis-19040	470	13	local	local	ADJ
bracis-19040	470	14	problems	problem	NOUN
bracis-19040	470	15	having	have	VERB
bracis-19040	470	16	global	global	ADJ
bracis-19040	470	17	effects	effect	NOUN
bracis-19040	470	18	.	.	PUNCT
bracis-19040	471	1	theorem	theorem	ADJ
bracis-19040	471	2	3	3	NUM
bracis-19040	471	3	if	if	SCONJ
bracis-19040	471	4	\	\	PROPN
bracis-19040	471	5	(	(	PUNCT
bracis-19040	471	6	aspic	aspic	NOUN
bracis-19040	471	7	^?\	^?\	NUM
bracis-19040	471	8	)	)	PUNCT
bracis-19040	471	9	satisfies	satisfy	VERB
bracis-19040	471	10	non	non	ADJ
bracis-19040	471	11	-	-	NOUN
bracis-19040	471	12	interference	interference	NOUN
bracis-19040	471	13	and	and	CCONJ
bracis-19040	471	14	non	non	ADJ
bracis-19040	471	15	-	-	NOUN
bracis-19040	471	16	triviality	triviality	NOUN
bracis-19040	471	17	under	under	ADP
bracis-19040	471	18	complete	complete	ADJ
bracis-19040	471	19	semantics	semantic	NOUN
bracis-19040	471	20	,	,	PUNCT
bracis-19040	471	21	then	then	ADV
bracis-19040	471	22	it	it	PRON
bracis-19040	471	23	also	also	ADV
bracis-19040	471	24	satisfies	satisfy	VERB
bracis-19040	471	25	crash	crash	NOUN
bracis-19040	471	26	-	-	PUNCT
bracis-19040	471	27	resistance	resistance	NOUN
bracis-19040	471	28	under	under	ADP
bracis-19040	471	29	complete	complete	ADJ
bracis-19040	471	30	semantics	semantic	NOUN
bracis-19040	471	31	.	.	PUNCT
bracis-19040	472	1	proof	proof	NOUN
bracis-19040	472	2	(	(	PUNCT
bracis-19040	472	3	1	1	X
bracis-19040	472	4	)	)	PUNCT
bracis-19040	472	5	by	by	ADP
bracis-19040	472	6	absurd	absurd	ADJ
bracis-19040	472	7	suppose	suppose	VERB
bracis-19040	472	8	the	the	DET
bracis-19040	472	9	\	\	NOUN
bracis-19040	472	10	(	(	PUNCT
bracis-19040	472	11	aspic	aspic	NOUN
bracis-19040	472	12	^?\	^?\	NUM
bracis-19040	472	13	)	)	PUNCT
bracis-19040	472	14	does	do	AUX
bracis-19040	472	15	not	not	PART
bracis-19040	472	16	satisfy	satisfy	VERB
bracis-19040	472	17	crash	crash	NOUN
bracis-19040	472	18	-	-	PUNCT
bracis-19040	472	19	resistance	resistance	NOUN
bracis-19040	472	20	.	.	PUNCT
bracis-19040	473	1	then	then	ADV
bracis-19040	473	2	there	there	PRON
bracis-19040	473	3	exists	exist	VERB
bracis-19040	473	4	an	an	DET
bracis-19040	473	5	argumentation	argumentation	NOUN
bracis-19040	473	6	theory	theory	NOUN
bracis-19040	473	7	\	\	PROPN
bracis-19040	473	8	(	(	PUNCT
bracis-19040	473	9	at	at	ADP
bracis-19040	473	10	_	_	NOUN
bracis-19040	473	11	1\	1\	NUM
bracis-19040	473	12	)	)	PUNCT
bracis-19040	473	13	that	that	PRON
bracis-19040	473	14	is	be	AUX
bracis-19040	473	15	contaminating	contaminate	VERB
bracis-19040	473	16	and	and	CCONJ
bracis-19040	473	17	\(\texttt	\(\texttt	NOUN
bracis-19040	473	18	{	{	PUNCT
bracis-19040	473	19	atoms	atom	NOUN
bracis-19040	473	20	}	}	PUNCT
bracis-19040	473	21	(	(	PUNCT
bracis-19040	473	22	at	at	ADP
bracis-19040	473	23	_	_	NOUN
bracis-19040	473	24	1	1	NUM
bracis-19040	473	25	)	)	PUNCT
bracis-19040	473	26	\subset	\subset	PROPN
bracis-19040	473	27	\mathfrak	\mathfrak	PROPN
bracis-19040	473	28	a\	a\	NOUN
bracis-19040	473	29	)	)	PUNCT
bracis-19040	473	30	.	.	PUNCT
bracis-19040	474	1	let	let	VERB
bracis-19040	474	2	\(\mathfrak	\(\mathfrak	PROPN
bracis-19040	474	3	b	b	PROPN
bracis-19040	474	4	=	=	PUNCT
bracis-19040	474	5	\mathfrak	\mathfrak	ADP
bracis-19040	474	6	a	a	DET
bracis-19040	474	7	\backslash	\backslash	PROPN
bracis-19040	474	8	\texttt	\texttt	PROPN
bracis-19040	474	9	{	{	PUNCT
bracis-19040	474	10	atoms	atom	NOUN
bracis-19040	474	11	}	}	PUNCT
bracis-19040	474	12	(	(	PUNCT
bracis-19040	474	13	at	at	ADP
bracis-19040	474	14	_	_	NOUN
bracis-19040	474	15	1)\	1)\	NUM
bracis-19040	474	16	)	)	PUNCT
bracis-19040	474	17	.	.	PUNCT
bracis-19040	475	1	(	(	PUNCT
bracis-19040	475	2	2	2	X
bracis-19040	475	3	)	)	PUNCT
bracis-19040	475	4	by	by	ADP
bracis-19040	475	5	assumption	assumption	NOUN
bracis-19040	475	6	\	\	PROPN
bracis-19040	475	7	(	(	PUNCT
bracis-19040	475	8	aspic	aspic	NOUN
bracis-19040	475	9	^?\	^?\	NUM
bracis-19040	475	10	)	)	PUNCT
bracis-19040	475	11	is	be	AUX
bracis-19040	475	12	non	non	ADJ
bracis-19040	475	13	-	-	ADJ
bracis-19040	475	14	trivial	trivial	ADJ
bracis-19040	475	15	.	.	PUNCT
bracis-19040	476	1	thus	thus	ADV
bracis-19040	476	2	,	,	PUNCT
bracis-19040	476	3	there	there	PRON
bracis-19040	476	4	are	be	VERB
bracis-19040	476	5	argumentation	argumentation	NOUN
bracis-19040	476	6	theories	theory	NOUN
bracis-19040	476	7	\	\	PROPN
bracis-19040	476	8	(	(	PUNCT
bracis-19040	476	9	at	at	ADP
bracis-19040	476	10	_	_	NOUN
bracis-19040	476	11	2\	2\	NUM
bracis-19040	476	12	)	)	PUNCT
bracis-19040	476	13	and	and	CCONJ
bracis-19040	476	14	\	\	PROPN
bracis-19040	476	15	(	(	PUNCT
bracis-19040	476	16	at	at	ADP
bracis-19040	476	17	_	_	NOUN
bracis-19040	476	18	3\	3\	NUM
bracis-19040	476	19	)	)	PUNCT
bracis-19040	476	20	such	such	ADJ
bracis-19040	476	21	that	that	DET
bracis-19040	476	22	\(\texttt	\(\texttt	NOUN
bracis-19040	476	23	{	{	PUNCT
bracis-19040	476	24	atoms	atom	NOUN
bracis-19040	476	25	}	}	PUNCT
bracis-19040	476	26	(	(	PUNCT
bracis-19040	476	27	at	at	ADP
bracis-19040	476	28	_	_	NOUN
bracis-19040	476	29	2	2	NUM
bracis-19040	476	30	)	)	PUNCT
bracis-19040	477	1	=	=	SYM
bracis-19040	477	2	\texttt	\texttt	PROPN
bracis-19040	477	3	{	{	PUNCT
bracis-19040	477	4	atoms	atom	NOUN
bracis-19040	477	5	}	}	PUNCT
bracis-19040	477	6	(	(	PUNCT
bracis-19040	477	7	at	at	ADP
bracis-19040	477	8	_	_	NOUN
bracis-19040	477	9	3	3	NUM
bracis-19040	477	10	)	)	PUNCT
bracis-19040	477	11	\subseteq	\subseteq	PROPN
bracis-19040	477	12	\mathfrak	\mathfrak	VERB
bracis-19040	477	13	b\	b\	NOUN
bracis-19040	477	14	)	)	PUNCT
bracis-19040	477	15	and	and	CCONJ
bracis-19040	477	16	\	\	PROPN
bracis-19040	477	17	(	(	PUNCT
bracis-19040	477	18	cn	cn	X
bracis-19040	477	19	_	_	NOUN
bracis-19040	477	20	\textit{c	\textit{c	NOUN
bracis-19040	477	21	}	}	PUNCT
bracis-19040	477	22	(	(	PUNCT
bracis-19040	477	23	at	at	ADP
bracis-19040	477	24	_	_	NOUN
bracis-19040	477	25	2)_{\mid	2)_{\mid	NUM
bracis-19040	477	26	\mathfrak	\mathfrak	DET
bracis-19040	477	27	b	b	X
bracis-19040	477	28	}	}	PUNCT
bracis-19040	477	29	\not	\not	ADV
bracis-19040	477	30	=	=	SYM
bracis-19040	477	31	cn	cn	PROPN
bracis-19040	478	1	_	_	NOUN
bracis-19040	478	2	\textit{c	\textit{c	NOUN
bracis-19040	478	3	}	}	PUNCT
bracis-19040	478	4	(	(	PUNCT
bracis-19040	478	5	at	at	ADP
bracis-19040	478	6	_	_	NOUN
bracis-19040	478	7	3)_{\mid	3)_{\mid	NUM
bracis-19040	478	8	\mathfrak	\mathfrak	ADP
bracis-19040	478	9	b}\	b}\	NOUN
bracis-19040	478	10	)	)	PUNCT
bracis-19040	478	11	.	.	PUNCT
bracis-19040	479	1	note	note	VERB
bracis-19040	479	2	that	that	SCONJ
bracis-19040	479	3	both	both	DET
bracis-19040	479	4	\	\	NOUN
bracis-19040	479	5	(	(	PUNCT
bracis-19040	479	6	at	at	ADP
bracis-19040	479	7	_	_	NOUN
bracis-19040	479	8	2\	2\	NUM
bracis-19040	479	9	)	)	PUNCT
bracis-19040	479	10	and	and	CCONJ
bracis-19040	479	11	\	\	PROPN
bracis-19040	479	12	(	(	PUNCT
bracis-19040	479	13	at	at	ADP
bracis-19040	479	14	_	_	NOUN
bracis-19040	479	15	3\	3\	NUM
bracis-19040	479	16	)	)	PUNCT
bracis-19040	479	17	are	be	AUX
bracis-19040	479	18	syntactically	syntactically	ADV
bracis-19040	479	19	disjoint	disjoint	ADJ
bracis-19040	479	20	from	from	ADP
bracis-19040	479	21	\	\	PROPN
bracis-19040	479	22	(	(	PUNCT
bracis-19040	479	23	at	at	ADP
bracis-19040	479	24	_	_	NOUN
bracis-19040	479	25	1\	1\	NUM
bracis-19040	479	26	)	)	PUNCT
bracis-19040	479	27	.	.	PUNCT
bracis-19040	480	1	(	(	PUNCT
bracis-19040	480	2	3	3	X
bracis-19040	480	3	)	)	PUNCT
bracis-19040	480	4	by	by	ADP
bracis-19040	480	5	assumption	assumption	NOUN
bracis-19040	480	6	\	\	PROPN
bracis-19040	480	7	(	(	PUNCT
bracis-19040	480	8	aspic	aspic	NOUN
bracis-19040	480	9	^?\	^?\	NUM
bracis-19040	480	10	)	)	PUNCT
bracis-19040	480	11	satisfies	satisfy	VERB
bracis-19040	480	12	non	non	ADJ
bracis-19040	480	13	-	-	NOUN
bracis-19040	480	14	interference	interference	NOUN
bracis-19040	480	15	,	,	PUNCT
bracis-19040	480	16	from	from	ADP
bracis-19040	480	17	which	which	PRON
bracis-19040	480	18	follows	follow	VERB
bracis-19040	480	19	\	\	PROPN
bracis-19040	480	20	(	(	PUNCT
bracis-19040	480	21	cn	cn	X
bracis-19040	480	22	_	_	NOUN
bracis-19040	480	23	\textit{c	\textit{c	NOUN
bracis-19040	480	24	}	}	PUNCT
bracis-19040	480	25	(	(	PUNCT
bracis-19040	480	26	at	at	ADP
bracis-19040	480	27	_	_	NOUN
bracis-19040	480	28	2)_{\mid	2)_{\mid	NUM
bracis-19040	480	29	\mathfrak	\mathfrak	PROPN
bracis-19040	480	30	b	b	X
bracis-19040	480	31	}	}	PUNCT
bracis-19040	480	32	=	=	PUNCT
bracis-19040	480	33	cn	cn	X
bracis-19040	480	34	_	_	NOUN
bracis-19040	480	35	\textit{c	\textit{c	NOUN
bracis-19040	480	36	}	}	PUNCT
bracis-19040	480	37	(	(	PUNCT
bracis-19040	480	38	at	at	ADP
bracis-19040	480	39	_	_	NOUN
bracis-19040	480	40	2	2	NUM
bracis-19040	480	41	\cup	\cup	NOUN
bracis-19040	480	42	at	at	ADP
bracis-19040	480	43	_	_	PROPN
bracis-19040	480	44	1)_{\mid	1)_{\mid	PROPN
bracis-19040	480	45	\mathfrak	\mathfrak	ADP
bracis-19040	480	46	b}\	b}\	NOUN
bracis-19040	480	47	)	)	PUNCT
bracis-19040	480	48	and	and	CCONJ
bracis-19040	481	1	\	\	PROPN
bracis-19040	481	2	(	(	PUNCT
bracis-19040	481	3	cn	cn	X
bracis-19040	481	4	_	_	NOUN
bracis-19040	481	5	\textit{c	\textit{c	NOUN
bracis-19040	481	6	}	}	PUNCT
bracis-19040	481	7	(	(	PUNCT
bracis-19040	481	8	at	at	ADP
bracis-19040	481	9	_	_	NOUN
bracis-19040	481	10	3	3	NUM
bracis-19040	481	11	\cup	\cup	NOUN
bracis-19040	481	12	at	at	ADP
bracis-19040	481	13	_	_	PROPN
bracis-19040	481	14	1)_{\mid	1)_{\mid	PROPN
bracis-19040	481	15	\mathfrak	\mathfrak	PROPN
bracis-19040	481	16	b	b	PROPN
bracis-19040	481	17	}	}	PUNCT
bracis-19040	481	18	=	=	PUNCT
bracis-19040	481	19	cn	cn	X
bracis-19040	481	20	_	_	NOUN
bracis-19040	481	21	\textit{c	\textit{c	NOUN
bracis-19040	481	22	}	}	PUNCT
bracis-19040	481	23	(	(	PUNCT
bracis-19040	481	24	at	at	ADP
bracis-19040	481	25	_	_	NOUN
bracis-19040	481	26	3)_{\mid	3)_{\mid	NUM
bracis-19040	481	27	\mathfrak	\mathfrak	ADP
bracis-19040	481	28	b}\	b}\	NOUN
bracis-19040	481	29	)	)	PUNCT
bracis-19040	481	30	.	.	PUNCT
bracis-19040	482	1	(	(	PUNCT
bracis-19040	482	2	4	4	X
bracis-19040	482	3	)	)	PUNCT
bracis-19040	482	4	given	give	VERB
bracis-19040	482	5	\	\	PROPN
bracis-19040	482	6	(	(	PUNCT
bracis-19040	482	7	at	at	ADP
bracis-19040	482	8	_	_	NOUN
bracis-19040	482	9	1\	1\	NUM
bracis-19040	482	10	)	)	PUNCT
bracis-19040	482	11	is	be	AUX
bracis-19040	482	12	contaminating	contaminate	VERB
bracis-19040	482	13	,	,	PUNCT
bracis-19040	482	14	\	\	PROPN
bracis-19040	482	15	(	(	PUNCT
bracis-19040	482	16	cn	cn	X
bracis-19040	482	17	_	_	NOUN
bracis-19040	482	18	\textit{c	\textit{c	NOUN
bracis-19040	482	19	}	}	PUNCT
bracis-19040	482	20	(	(	PUNCT
bracis-19040	482	21	at	at	ADP
bracis-19040	482	22	_	_	NOUN
bracis-19040	482	23	1	1	NUM
bracis-19040	482	24	\cup	\cup	NOUN
bracis-19040	482	25	at	at	ADP
bracis-19040	482	26	_	_	NOUN
bracis-19040	482	27	2)_{\mid	2)_{\mid	NUM
bracis-19040	483	1	\mathfrak	\mathfrak	PROPN
bracis-19040	483	2	b	b	X
bracis-19040	483	3	}	}	PUNCT
bracis-19040	483	4	=	=	PUNCT
bracis-19040	483	5	cn	cn	X
bracis-19040	483	6	_	_	NOUN
bracis-19040	483	7	\textit{c	\textit{c	NOUN
bracis-19040	483	8	}	}	PUNCT
bracis-19040	483	9	(	(	PUNCT
bracis-19040	483	10	at	at	ADP
bracis-19040	483	11	_	_	PROPN
bracis-19040	483	12	1)_{\mid	1)_{\mid	NUM
bracis-19040	484	1	\mathfrak	\mathfrak	PROPN
bracis-19040	484	2	b	b	PROPN
bracis-19040	484	3	}	}	PUNCT
bracis-19040	484	4	=	=	PUNCT
bracis-19040	484	5	cn	cn	X
bracis-19040	484	6	_	_	NOUN
bracis-19040	484	7	\textit{c	\textit{c	NOUN
bracis-19040	484	8	}	}	PUNCT
bracis-19040	484	9	(	(	PUNCT
bracis-19040	484	10	at	at	ADP
bracis-19040	484	11	_	_	NOUN
bracis-19040	484	12	1	1	NUM
bracis-19040	484	13	\cup	\cup	NOUN
bracis-19040	484	14	at	at	ADP
bracis-19040	484	15	_	_	NOUN
bracis-19040	484	16	3)_{\mid	3)_{\mid	NUM
bracis-19040	484	17	\mathfrak	\mathfrak	ADP
bracis-19040	484	18	b}\	b}\	NOUN
bracis-19040	484	19	)	)	PUNCT
bracis-19040	484	20	.	.	PUNCT
bracis-19040	485	1	from	from	ADP
bracis-19040	485	2	(	(	PUNCT
bracis-19040	485	3	3	3	NUM
bracis-19040	485	4	)	)	PUNCT
bracis-19040	485	5	and	and	CCONJ
bracis-19040	485	6	(	(	PUNCT
bracis-19040	485	7	4	4	NUM
bracis-19040	485	8	)	)	PUNCT
bracis-19040	485	9	,	,	PUNCT
bracis-19040	485	10	it	it	PRON
bracis-19040	485	11	follows	follow	VERB
bracis-19040	485	12	that	that	SCONJ
bracis-19040	486	1	\	\	PROPN
bracis-19040	486	2	(	(	PUNCT
bracis-19040	486	3	cn	cn	X
bracis-19040	486	4	_	_	NOUN
bracis-19040	486	5	\textit{c	\textit{c	NOUN
bracis-19040	486	6	}	}	PUNCT
bracis-19040	486	7	(	(	PUNCT
bracis-19040	486	8	at	at	ADP
bracis-19040	486	9	_	_	NOUN
bracis-19040	486	10	2)_{\mid	2)_{\mid	NUM
bracis-19040	486	11	\mathfrak	\mathfrak	PROPN
bracis-19040	486	12	b	b	X
bracis-19040	486	13	}	}	PUNCT
bracis-19040	486	14	=	=	PUNCT
bracis-19040	486	15	cn	cn	X
bracis-19040	486	16	_	_	NOUN
bracis-19040	486	17	\textit{c	\textit{c	NOUN
bracis-19040	486	18	}	}	PUNCT
bracis-19040	486	19	(	(	PUNCT
bracis-19040	486	20	at	at	ADP
bracis-19040	486	21	_	_	NOUN
bracis-19040	486	22	3)_{\mid	3)_{\mid	NUM
bracis-19040	486	23	\mathfrak	\mathfrak	ADP
bracis-19040	486	24	b}\	b}\	NOUN
bracis-19040	486	25	)	)	PUNCT
bracis-19040	486	26	.	.	PUNCT
bracis-19040	487	1	it	it	PRON
bracis-19040	487	2	is	be	AUX
bracis-19040	487	3	an	an	DET
bracis-19040	487	4	absurd	absurd	ADJ
bracis-19040	487	5	as	as	ADP
bracis-19040	487	6	from	from	ADP
bracis-19040	487	7	(	(	PUNCT
bracis-19040	487	8	2	2	X
bracis-19040	487	9	)	)	PUNCT
bracis-19040	487	10	we	we	PRON
bracis-19040	487	11	have	have	VERB
bracis-19040	487	12	\	\	NOUN
bracis-19040	487	13	(	(	PUNCT
bracis-19040	487	14	cn	cn	X
bracis-19040	487	15	_	_	NOUN
bracis-19040	487	16	\textit{c	\textit{c	NOUN
bracis-19040	487	17	}	}	PUNCT
bracis-19040	487	18	(	(	PUNCT
bracis-19040	487	19	at	at	ADP
bracis-19040	487	20	_	_	NOUN
bracis-19040	487	21	2)_{\mid	2)_{\mid	NUM
bracis-19040	487	22	\mathfrak	\mathfrak	DET
bracis-19040	487	23	b	b	X
bracis-19040	487	24	}	}	PUNCT
bracis-19040	487	25	\not	\not	ADV
bracis-19040	487	26	=	=	SYM
bracis-19040	487	27	cn	cn	PROPN
bracis-19040	488	1	_	_	NOUN
bracis-19040	488	2	\textit{c	\textit{c	NOUN
bracis-19040	488	3	}	}	PUNCT
bracis-19040	488	4	(	(	PUNCT
bracis-19040	488	5	at	at	ADP
bracis-19040	488	6	_	_	NOUN
bracis-19040	488	7	3)_{\mid	3)_{\mid	NUM
bracis-19040	488	8	\mathfrak	\mathfrak	ADP
bracis-19040	488	9	b}\	b}\	NOUN
bracis-19040	488	10	)	)	PUNCT
bracis-19040	488	11	.	.	PUNCT
bracis-19040	488	12	   	   	SPACE
bracis-19040	488	13	\(\square	\(\square	VERB
bracis-19040	488	14	\	\	NOUN
bracis-19040	488	15	)	)	PUNCT
bracis-19040	488	16	theorem	theorem	VERB
bracis-19040	488	17	4	4	NUM
bracis-19040	488	18	the	the	DET
bracis-19040	488	19	inconsistency	inconsistency	NOUN
bracis-19040	488	20	-	-	PUNCT
bracis-19040	488	21	cleaned	clean	VERB
bracis-19040	488	22	version	version	NOUN
bracis-19040	488	23	of	of	ADP
bracis-19040	488	24	the	the	DET
bracis-19040	488	25	\	\	NOUN
bracis-19040	488	26	(	(	PUNCT
bracis-19040	488	27	aspic	aspic	NOUN
bracis-19040	488	28	^?\	^?\	NUM
bracis-19040	488	29	)	)	PUNCT
bracis-19040	488	30	system	system	NOUN
bracis-19040	488	31	satisfies	satisfy	VERB
bracis-19040	488	32	crash	crash	NOUN
bracis-19040	488	33	-	-	PUNCT
bracis-19040	488	34	resistance	resistance	NOUN
bracis-19040	488	35	under	under	ADP
bracis-19040	488	36	complete	complete	ADJ
bracis-19040	488	37	semantics	semantic	NOUN
bracis-19040	488	38	.	.	PUNCT
bracis-19040	489	1	proof	proof	NOUN
bracis-19040	489	2	it	it	PRON
bracis-19040	489	3	follows	follow	VERB
bracis-19040	489	4	from	from	ADP
bracis-19040	489	5	theorems	theorem	NOUN
bracis-19040	489	6	2	2	NUM
bracis-19040	489	7	,	,	PUNCT
bracis-19040	489	8	1	1	NUM
bracis-19040	489	9	and	and	CCONJ
bracis-19040	489	10	3	3	NUM
bracis-19040	489	11	.	.	NOUN
bracis-19040	489	12	4	4	NUM
bracis-19040	489	13	conclusion	conclusion	NOUN
bracis-19040	489	14	and	and	CCONJ
bracis-19040	489	15	future	future	ADJ
bracis-19040	489	16	works	work	NOUN
bracis-19040	489	17	in	in	ADP
bracis-19040	489	18	this	this	DET
bracis-19040	489	19	work	work	NOUN
bracis-19040	489	20	,	,	PUNCT
bracis-19040	489	21	we	we	PRON
bracis-19040	489	22	defined	define	VERB
bracis-19040	489	23	an	an	DET
bracis-19040	489	24	argumentation	argumentation	NOUN
bracis-19040	489	25	framework	framework	NOUN
bracis-19040	489	26	,	,	PUNCT
bracis-19040	489	27	dubbed	dub	VERB
bracis-19040	489	28	\	\	PROPN
bracis-19040	489	29	(	(	PUNCT
bracis-19040	489	30	aspic	aspic	NOUN
bracis-19040	489	31	^?\	^?\	NUM
bracis-19040	489	32	)	)	PUNCT
bracis-19040	489	33	,	,	PUNCT
bracis-19040	489	34	by	by	ADP
bracis-19040	489	35	introducing	introduce	VERB
bracis-19040	489	36	in	in	ADP
bracis-19040	489	37	\	\	PROPN
bracis-19040	489	38	(	(	PUNCT
bracis-19040	489	39	aspic	aspic	NOUN
bracis-19040	489	40	^+\	^+\	ADJ
bracis-19040	489	41	)	)	PUNCT
bracis-19040	490	1	[	[	X
bracis-19040	490	2	3	3	X
bracis-19040	490	3	]	]	PUNCT
bracis-19040	490	4	an	an	DET
bracis-19040	490	5	interrogation	interrogation	NOUN
bracis-19040	490	6	mark	mark	NOUN
bracis-19040	490	7	?	?	PUNCT
bracis-19040	491	1	as	as	SCONJ
bracis-19040	491	2	a	a	DET
bracis-19040	491	3	plausibility	plausibility	NOUN
bracis-19040	491	4	operator	operator	NOUN
bracis-19040	491	5	to	to	PART
bracis-19040	491	6	enhance	enhance	VERB
bracis-19040	491	7	any	any	DET
bracis-19040	491	8	defeasible	defeasible	ADJ
bracis-19040	491	9	conclusion	conclusion	NOUN
bracis-19040	491	10	does	do	AUX
bracis-19040	491	11	not	not	PART
bracis-19040	491	12	have	have	VERB
bracis-19040	491	13	the	the	DET
bracis-19040	491	14	same	same	ADJ
bracis-19040	491	15	status	status	NOUN
bracis-19040	491	16	than	than	ADP
bracis-19040	491	17	an	an	DET
bracis-19040	491	18	irrefutable	irrefutable	ADJ
bracis-19040	491	19	one	one	NOUN
bracis-19040	491	20	:	:	PUNCT
bracis-19040	491	21	in	in	ADP
bracis-19040	491	22	\	\	PROPN
bracis-19040	491	23	(	(	PUNCT
bracis-19040	491	24	aspic	aspic	NOUN
bracis-19040	491	25	^?\	^?\	NUM
bracis-19040	491	26	)	)	PUNCT
bracis-19040	491	27	,	,	PUNCT
bracis-19040	491	28	any	any	DET
bracis-19040	491	29	defeasible	defeasible	ADJ
bracis-19040	491	30	rule	rule	NOUN
bracis-19040	491	31	have	have	VERB
bracis-19040	491	32	the	the	DET
bracis-19040	491	33	form	form	NOUN
bracis-19040	491	34	\(\phi	\(\phi	PUNCT
bracis-19040	492	1	_	_	NOUN
bracis-19040	492	2	1	1	NUM
bracis-19040	492	3	,	,	PUNCT
bracis-19040	492	4	\ldots	\ldots	INTJ
bracis-19040	492	5	,	,	PUNCT
bracis-19040	492	6	\phi	\phi	PROPN
bracis-19040	492	7	_	_	NOUN
bracis-19040	492	8	n	n	X
bracis-19040	492	9	\rightarrow	\rightarrow	PROPN
bracis-19040	492	10	\phi	\phi	PROPN
bracis-19040	492	11	?	?	PUNCT
bracis-19040	492	12	\	\	NOUN
bracis-19040	492	13	)	)	PUNCT
bracis-19040	492	14	.	.	PUNCT
bracis-19040	493	1	as	as	ADP
bracis-19040	493	2	in	in	ADP
bracis-19040	493	3	[	[	X
bracis-19040	493	4	2	2	NUM
bracis-19040	493	5	]	]	PUNCT
bracis-19040	493	6	,	,	PUNCT
bracis-19040	493	7	we	we	PRON
bracis-19040	493	8	distinguish	distinguish	VERB
bracis-19040	493	9	strong	strong	ADJ
bracis-19040	493	10	contradictions	contradiction	NOUN
bracis-19040	493	11	from	from	ADP
bracis-19040	493	12	weak	weak	ADJ
bracis-19040	493	13	ones	one	NOUN
bracis-19040	493	14	.	.	PUNCT
bracis-19040	494	1	we	we	PRON
bracis-19040	494	2	avoid	avoid	VERB
bracis-19040	494	3	the	the	DET
bracis-19040	494	4	former	former	ADJ
bracis-19040	494	5	and	and	CCONJ
bracis-19040	494	6	tolerate	tolerate	VERB
bracis-19040	494	7	the	the	DET
bracis-19040	494	8	latter	latter	ADJ
bracis-19040	494	9	.	.	PUNCT
bracis-19040	495	1	then	then	ADV
bracis-19040	495	2	,	,	PUNCT
bracis-19040	495	3	we	we	PRON
bracis-19040	495	4	showed	show	VERB
bracis-19040	495	5	in	in	ADP
bracis-19040	495	6	\	\	PROPN
bracis-19040	495	7	(	(	PUNCT
bracis-19040	495	8	aspic	aspic	NOUN
bracis-19040	495	9	^?\	^?\	NUM
bracis-19040	495	10	)	)	PUNCT
bracis-19040	495	11	conflicting	conflict	VERB
bracis-19040	495	12	arguments	argument	NOUN
bracis-19040	495	13	does	do	AUX
bracis-19040	495	14	not	not	PART
bracis-19040	495	15	interfere	interfere	VERB
bracis-19040	495	16	with	with	ADP
bracis-19040	495	17	the	the	DET
bracis-19040	495	18	acceptability	acceptability	NOUN
bracis-19040	495	19	of	of	ADP
bracis-19040	495	20	unrelated	unrelated	ADJ
bracis-19040	495	21	arguments	argument	NOUN
bracis-19040	495	22	.	.	PUNCT
bracis-19040	496	1	this	this	PRON
bracis-19040	496	2	is	be	AUX
bracis-19040	496	3	proved	prove	VERB
bracis-19040	496	4	by	by	ADP
bracis-19040	496	5	combining	combine	VERB
bracis-19040	496	6	solutions	solution	NOUN
bracis-19040	496	7	found	find	VERB
bracis-19040	496	8	in	in	ADP
bracis-19040	496	9	[	[	X
bracis-19040	496	10	6	6	NUM
bracis-19040	496	11	]	]	PUNCT
bracis-19040	496	12	and	and	CCONJ
bracis-19040	496	13	in	in	ADP
bracis-19040	496	14	[	[	X
bracis-19040	496	15	7	7	NUM
bracis-19040	496	16	,	,	PUNCT
bracis-19040	496	17	8	8	NUM
bracis-19040	496	18	]	]	PUNCT
bracis-19040	496	19	to	to	PART
bracis-19040	496	20	show	show	VERB
bracis-19040	496	21	the	the	DET
bracis-19040	496	22	postulates	postulate	NOUN
bracis-19040	496	23	of	of	ADP
bracis-19040	496	24	non	non	ADJ
bracis-19040	496	25	-	-	ADJ
bracis-19040	496	26	interference	interference	NOUN
bracis-19040	496	27	and	and	CCONJ
bracis-19040	496	28	crash	crash	NOUN
bracis-19040	496	29	-	-	PUNCT
bracis-19040	496	30	resistance	resistance	NOUN
bracis-19040	496	31	hold	hold	NOUN
bracis-19040	496	32	in	in	ADP
bracis-19040	496	33	inconsistency	inconsistency	NOUN
bracis-19040	496	34	-	-	PUNCT
bracis-19040	496	35	cleaned	clean	VERB
bracis-19040	496	36	\	\	PROPN
bracis-19040	496	37	(	(	PUNCT
bracis-19040	496	38	aspic	aspic	NOUN
bracis-19040	496	39	^?\	^?\	NUM
bracis-19040	496	40	):	):	PUNCT
bracis-19040	496	41	1	1	NUM
bracis-19040	496	42	)	)	PUNCT
bracis-19040	496	43	as	as	ADP
bracis-19040	496	44	in	in	ADP
bracis-19040	496	45	[	[	X
bracis-19040	496	46	6	6	NUM
bracis-19040	496	47	]	]	PUNCT
bracis-19040	496	48	,	,	PUNCT
bracis-19040	496	49	we	we	PRON
bracis-19040	496	50	resort	resort	VERB
bracis-19040	496	51	to	to	ADP
bracis-19040	496	52	paraconsistent	paraconsistent	NOUN
bracis-19040	496	53	reasoning	reasoning	NOUN
bracis-19040	496	54	to	to	PART
bracis-19040	496	55	tolerate	tolerate	VERB
bracis-19040	496	56	conflicts	conflict	NOUN
bracis-19040	496	57	;	;	PUNCT
bracis-19040	496	58	our	our	PRON
bracis-19040	496	59	differential	differential	NOUN
bracis-19040	496	60	is	be	AUX
bracis-19040	496	61	we	we	PRON
bracis-19040	496	62	tolerate	tolerate	VERB
bracis-19040	496	63	only	only	ADV
bracis-19040	496	64	weak	weak	ADJ
bracis-19040	496	65	conflicts	conflict	NOUN
bracis-19040	496	66	.	.	PUNCT
bracis-19040	497	1	2	2	X
bracis-19040	497	2	)	)	PUNCT
bracis-19040	497	3	as	as	ADP
bracis-19040	497	4	in	in	ADP
bracis-19040	497	5	[	[	X
bracis-19040	497	6	7	7	NUM
bracis-19040	497	7	,	,	PUNCT
bracis-19040	497	8	8	8	NUM
bracis-19040	497	9	]	]	PUNCT
bracis-19040	497	10	,	,	PUNCT
bracis-19040	497	11	we	we	PRON
bracis-19040	497	12	require	require	VERB
bracis-19040	497	13	for	for	ADP
bracis-19040	497	14	each	each	DET
bracis-19040	497	15	argument	argument	NOUN
bracis-19040	497	16	,	,	PUNCT
bracis-19040	497	17	the	the	DET
bracis-19040	497	18	set	set	NOUN
bracis-19040	497	19	of	of	ADP
bracis-19040	497	20	conclusions	conclusion	NOUN
bracis-19040	497	21	of	of	ADP
bracis-19040	497	22	all	all	DET
bracis-19040	497	23	its	its	PRON
bracis-19040	497	24	sub	sub	NOUN
bracis-19040	497	25	-	-	NOUN
bracis-19040	497	26	arguments	argument	NOUN
bracis-19040	497	27	are	be	AUX
bracis-19040	497	28	consistent	consistent	ADJ
bracis-19040	497	29	;	;	PUNCT
bracis-19040	497	30	our	our	PRON
bracis-19040	497	31	differential	differential	NOUN
bracis-19040	497	32	is	be	AUX
bracis-19040	497	33	that	that	SCONJ
bracis-19040	497	34	we	we	PRON
bracis-19040	497	35	eliminate	eliminate	VERB
bracis-19040	497	36	only	only	ADV
bracis-19040	497	37	those	those	DET
bracis-19040	497	38	arguments	argument	NOUN
bracis-19040	497	39	whose	whose	DET
bracis-19040	497	40	sets	set	NOUN
bracis-19040	497	41	of	of	ADP
bracis-19040	497	42	conclusions	conclusion	NOUN
bracis-19040	497	43	lead	lead	VERB
bracis-19040	497	44	to	to	ADP
bracis-19040	497	45	a	a	DET
bracis-19040	497	46	strong	strong	ADJ
bracis-19040	497	47	conflict	conflict	NOUN
bracis-19040	497	48	.	.	PUNCT
bracis-19040	498	1	thus	thus	ADV
bracis-19040	498	2	,	,	PUNCT
bracis-19040	498	3	our	our	PRON
bracis-19040	498	4	work	work	NOUN
bracis-19040	498	5	paves	pave	VERB
bracis-19040	498	6	the	the	DET
bracis-19040	498	7	way	way	NOUN
bracis-19040	498	8	to	to	PART
bracis-19040	498	9	investigate	investigate	VERB
bracis-19040	498	10	in	in	ADP
bracis-19040	498	11	the	the	DET
bracis-19040	498	12	context	context	NOUN
bracis-19040	498	13	of	of	ADP
bracis-19040	498	14	structured	structured	ADJ
bracis-19040	498	15	argumentation	argumentation	NOUN
bracis-19040	498	16	alternative	alternative	ADJ
bracis-19040	498	17	solutions	solution	NOUN
bracis-19040	498	18	to	to	PART
bracis-19040	498	19	satisfy	satisfy	VERB
bracis-19040	498	20	the	the	DET
bracis-19040	498	21	postulates	postulate	NOUN
bracis-19040	498	22	of	of	ADP
bracis-19040	498	23	non	non	ADJ
bracis-19040	498	24	-	-	ADJ
bracis-19040	498	25	interference	interference	NOUN
bracis-19040	498	26	and	and	CCONJ
bracis-19040	498	27	crash	crash	NOUN
bracis-19040	498	28	-	-	PUNCT
bracis-19040	498	29	resistance	resistance	NOUN
bracis-19040	498	30	without	without	ADP
bracis-19040	498	31	having	have	VERB
bracis-19040	498	32	to	to	PART
bracis-19040	498	33	delete	delete	VERB
bracis-19040	498	34	all	all	DET
bracis-19040	498	35	inconsistent	inconsistent	ADJ
bracis-19040	498	36	arguments	argument	NOUN
bracis-19040	498	37	.	.	PUNCT
bracis-19040	499	1	in	in	ADP
bracis-19040	499	2	the	the	DET
bracis-19040	499	3	future	future	NOUN
bracis-19040	499	4	we	we	PRON
bracis-19040	499	5	will	will	AUX
bracis-19040	499	6	study	study	VERB
bracis-19040	499	7	other	other	ADJ
bracis-19040	499	8	ways	way	NOUN
bracis-19040	499	9	to	to	PART
bracis-19040	499	10	satisfy	satisfy	VERB
bracis-19040	499	11	these	these	DET
bracis-19040	499	12	postulates	postulate	NOUN
bracis-19040	499	13	and	and	CCONJ
bracis-19040	499	14	which	which	DET
bracis-19040	499	15	monotonic	monotonic	ADJ
bracis-19040	499	16	paraconsistent	paraconsistent	NOUN
bracis-19040	499	17	logics	logic	NOUN
bracis-19040	499	18	can	can	AUX
bracis-19040	499	19	be	be	AUX
bracis-19040	499	20	used	use	VERB
bracis-19040	499	21	as	as	ADP
bracis-19040	499	22	source	source	NOUN
bracis-19040	499	23	of	of	ADP
bracis-19040	499	24	strict	strict	ADJ
bracis-19040	499	25	rules	rule	NOUN
bracis-19040	499	26	to	to	PART
bracis-19040	499	27	avoid	avoid	VERB
bracis-19040	499	28	contaminating	contaminate	VERB
bracis-19040	499	29	argumentation	argumentation	NOUN
bracis-19040	499	30	theories	theory	NOUN
bracis-19040	499	31	.	.	PUNCT
bracis-19040	500	1	we	we	PRON
bracis-19040	500	2	will	will	AUX
bracis-19040	500	3	also	also	ADV
bracis-19040	500	4	exploit	exploit	VERB
bracis-19040	500	5	the	the	DET
bracis-19040	500	6	relation	relation	NOUN
bracis-19040	500	7	between	between	ADP
bracis-19040	500	8	\	\	PROPN
bracis-19040	500	9	(	(	PUNCT
bracis-19040	500	10	aspic	aspic	NOUN
bracis-19040	500	11	^?\	^?\	NUM
bracis-19040	500	12	)	)	PUNCT
bracis-19040	500	13	and	and	CCONJ
bracis-19040	500	14	extended	extend	VERB
bracis-19040	500	15	logic	logic	NOUN
bracis-19040	500	16	programas	programa	NOUN
bracis-19040	500	17	with	with	ADP
bracis-19040	500	18	paraconsistent	paraconsistent	NOUN
bracis-19040	500	19	semantics	semantic	NOUN
bracis-19040	501	1	[	[	X
bracis-19040	501	2	13	13	NUM
bracis-19040	501	3	]	]	PUNCT
bracis-19040	501	4	.	.	PUNCT
bracis-19040	502	1	references	reference	NOUN
bracis-19040	502	2	carnielli	carnielli	PROPN
bracis-19040	502	3	,	,	PUNCT
bracis-19040	502	4	w.	w.	PROPN
bracis-19040	502	5	,	,	PUNCT
bracis-19040	502	6	marcos	marcos	PROPN
bracis-19040	502	7	,	,	PUNCT
bracis-19040	502	8	j.	j.	PROPN
bracis-19040	502	9	:	:	PUNCT
bracis-19040	502	10	a	a	DET
bracis-19040	502	11	taxonomy	taxonomy	NOUN
bracis-19040	502	12	of	of	ADP
bracis-19040	502	13	c	c	NOUN
bracis-19040	502	14	-	-	PUNCT
bracis-19040	502	15	systems	system	NOUN
bracis-19040	502	16	.	.	PUNCT
bracis-19040	503	1	in	in	ADP
bracis-19040	503	2	:	:	PUNCT
bracis-19040	503	3	paraconsistency	paraconsistency	NOUN
bracis-19040	503	4	,	,	PUNCT
bracis-19040	503	5	pp	pp	ADP
bracis-19040	503	6	.	.	PUNCT
bracis-19040	504	1	24–117	24–117	NUM
bracis-19040	504	2	.	.	PUNCT
bracis-19040	504	3	crc	crc	PROPN
bracis-19040	504	4	press	press	PROPN
bracis-19040	504	5	(	(	PUNCT
bracis-19040	504	6	2002	2002	NUM
bracis-19040	504	7	)	)	PUNCT
bracis-19040	504	8	google	google	PROPN
bracis-19040	504	9	scholar	scholar	NOUN
bracis-19040	504	10	  	  	SPACE
bracis-19040	504	11	pequeno	pequeno	NOUN
bracis-19040	504	12	,	,	PUNCT
bracis-19040	504	13	t.	t.	PROPN
bracis-19040	504	14	,	,	PUNCT
bracis-19040	504	15	buchsbaum	buchsbaum	NOUN
bracis-19040	504	16	,	,	PUNCT
bracis-19040	504	17	a.	a.	NOUN
bracis-19040	504	18	:	:	PUNCT
bracis-19040	504	19	the	the	DET
bracis-19040	504	20	logic	logic	NOUN
bracis-19040	504	21	of	of	ADP
bracis-19040	504	22	epistemic	epistemic	ADJ
bracis-19040	504	23	inconsistency	inconsistency	NOUN
bracis-19040	504	24	.	.	PUNCT
bracis-19040	505	1	in	in	ADP
bracis-19040	505	2	:	:	PUNCT
bracis-19040	505	3	proceedings	proceeding	NOUN
bracis-19040	505	4	of	of	ADP
bracis-19040	505	5	the	the	DET
bracis-19040	505	6	second	second	ADJ
bracis-19040	505	7	international	international	ADJ
bracis-19040	505	8	conference	conference	NOUN
bracis-19040	505	9	on	on	ADP
bracis-19040	505	10	principles	principle	NOUN
bracis-19040	505	11	of	of	ADP
bracis-19040	505	12	knowledge	knowledge	NOUN
bracis-19040	505	13	representation	representation	NOUN
bracis-19040	505	14	and	and	CCONJ
bracis-19040	505	15	reasoning	reasoning	NOUN
bracis-19040	505	16	,	,	PUNCT
bracis-19040	505	17	pp	pp	ADJ
bracis-19040	505	18	.	.	PUNCT
bracis-19040	506	1	453–460	453–460	NUM
bracis-19040	506	2	(	(	PUNCT
bracis-19040	506	3	1991	1991	NUM
bracis-19040	506	4	)	)	PUNCT
bracis-19040	506	5	google	google	PROPN
bracis-19040	506	6	scholar	scholar	NOUN
bracis-19040	506	7	  	  	SPACE
bracis-19040	506	8	modgil	modgil	NOUN
bracis-19040	506	9	,	,	PUNCT
bracis-19040	506	10	s.	s.	PROPN
bracis-19040	506	11	,	,	PUNCT
bracis-19040	506	12	prakken	prakken	VERB
bracis-19040	506	13	,	,	PUNCT
bracis-19040	506	14	h.	h.	PROPN
bracis-19040	506	15	:	:	PUNCT
bracis-19040	506	16	a	a	DET
bracis-19040	506	17	general	general	ADJ
bracis-19040	506	18	account	account	NOUN
bracis-19040	506	19	of	of	ADP
bracis-19040	506	20	argumentation	argumentation	NOUN
bracis-19040	506	21	with	with	ADP
bracis-19040	506	22	preferences	preference	NOUN
bracis-19040	506	23	.	.	PUNCT
bracis-19040	507	1	artif	artif	INTJ
bracis-19040	507	2	.	.	PUNCT
bracis-19040	508	1	intell	intell	PROPN
bracis-19040	508	2	.	.	PUNCT
bracis-19040	509	1	195	195	NUM
bracis-19040	509	2	,	,	PUNCT
bracis-19040	509	3	361–397	361–397	NUM
bracis-19040	509	4	(	(	PUNCT
bracis-19040	509	5	2013	2013	NUM
bracis-19040	509	6	)	)	PUNCT
bracis-19040	509	7	article	article	NOUN
bracis-19040	509	8	  	  	SPACE
bracis-19040	509	9	mathscinet	mathscinet	NOUN
bracis-19040	509	10	  	  	SPACE
bracis-19040	509	11	google	google	PROPN
bracis-19040	509	12	scholar	scholar	NOUN
bracis-19040	509	13	  	  	SPACE
bracis-19040	509	14	gorogiannis	gorogiannis	NOUN
bracis-19040	509	15	,	,	PUNCT
bracis-19040	509	16	n.	n.	NOUN
bracis-19040	509	17	,	,	PUNCT
bracis-19040	509	18	hunter	hunter	NOUN
bracis-19040	509	19	,	,	PUNCT
bracis-19040	509	20	a.	a.	NOUN
bracis-19040	509	21	:	:	PUNCT
bracis-19040	509	22	instantiating	instantiate	VERB
bracis-19040	509	23	abstract	abstract	ADJ
bracis-19040	509	24	argumentation	argumentation	NOUN
bracis-19040	509	25	with	with	ADP
bracis-19040	509	26	classical	classical	ADJ
bracis-19040	509	27	logic	logic	NOUN
bracis-19040	509	28	arguments	argument	NOUN
bracis-19040	509	29	:	:	PUNCT
bracis-19040	509	30	postulates	postulate	NOUN
bracis-19040	509	31	and	and	CCONJ
bracis-19040	509	32	properties	property	NOUN
bracis-19040	509	33	.	.	PUNCT
bracis-19040	510	1	artif	artif	INTJ
bracis-19040	510	2	.	.	PUNCT
bracis-19040	511	1	intell	intell	PROPN
bracis-19040	511	2	.	.	PUNCT
bracis-19040	512	1	175(9–10	175(9–10	NUM
bracis-19040	512	2	)	)	PUNCT
bracis-19040	512	3	,	,	PUNCT
bracis-19040	512	4	1479–1497	1479–1497	NUM
bracis-19040	512	5	(	(	PUNCT
bracis-19040	512	6	2011	2011	NUM
bracis-19040	512	7	)	)	PUNCT
bracis-19040	512	8	article	article	NOUN
bracis-19040	512	9	  	  	SPACE
bracis-19040	512	10	mathscinet	mathscinet	NOUN
bracis-19040	512	11	  	  	SPACE
bracis-19040	512	12	google	google	PROPN
bracis-19040	512	13	scholar	scholar	NOUN
bracis-19040	512	14	  	  	SPACE
bracis-19040	512	15	caminada	caminada	PROPN
bracis-19040	512	16	,	,	PUNCT
bracis-19040	512	17	m.	m.	NOUN
bracis-19040	512	18	,	,	PUNCT
bracis-19040	512	19	modgil	modgil	PROPN
bracis-19040	512	20	,	,	PUNCT
bracis-19040	512	21	s.	s.	PROPN
bracis-19040	512	22	,	,	PUNCT
bracis-19040	512	23	oren	oren	PROPN
bracis-19040	512	24	,	,	PUNCT
bracis-19040	512	25	n.	n.	NOUN
bracis-19040	512	26	:	:	PUNCT
bracis-19040	512	27	preferences	preference	NOUN
bracis-19040	512	28	and	and	CCONJ
bracis-19040	512	29	unrestricted	unrestricted	ADJ
bracis-19040	512	30	rebut	rebut	NOUN
bracis-19040	512	31	.	.	PUNCT
bracis-19040	513	1	computational	computational	ADJ
bracis-19040	513	2	models	model	NOUN
bracis-19040	513	3	of	of	ADP
bracis-19040	513	4	argument	argument	NOUN
bracis-19040	513	5	(	(	PUNCT
bracis-19040	513	6	2014	2014	NUM
bracis-19040	513	7	)	)	PUNCT
bracis-19040	513	8	google	google	PROPN
bracis-19040	513	9	scholar	scholar	NOUN
bracis-19040	513	10	  	  	SPACE
bracis-19040	513	11	grooters	grooter	NOUN
bracis-19040	513	12	,	,	PUNCT
bracis-19040	513	13	d.	d.	PROPN
bracis-19040	513	14	,	,	PUNCT
bracis-19040	513	15	prakken	prakken	VERB
bracis-19040	513	16	,	,	PUNCT
bracis-19040	513	17	h.	h.	PROPN
bracis-19040	513	18	:	:	PUNCT
bracis-19040	513	19	combining	combine	VERB
bracis-19040	513	20	paraconsistent	paraconsistent	NOUN
bracis-19040	513	21	logic	logic	NOUN
bracis-19040	513	22	with	with	ADP
bracis-19040	513	23	argumentation	argumentation	NOUN
bracis-19040	513	24	.	.	PUNCT
bracis-19040	514	1	in	in	ADP
bracis-19040	514	2	:	:	PUNCT
bracis-19040	514	3	comma	comma	NOUN
bracis-19040	514	4	,	,	PUNCT
bracis-19040	514	5	pp	pp	ADJ
bracis-19040	514	6	.	.	PUNCT
bracis-19040	515	1	301–312	301–312	NUM
bracis-19040	515	2	(	(	PUNCT
bracis-19040	515	3	2014	2014	NUM
bracis-19040	515	4	)	)	PUNCT
bracis-19040	515	5	google	google	PROPN
bracis-19040	515	6	scholar	scholar	NOUN
bracis-19040	515	7	  	  	SPACE
bracis-19040	515	8	wu	wu	PROPN
bracis-19040	515	9	,	,	PUNCT
bracis-19040	515	10	y.	y.	NOUN
bracis-19040	515	11	:	:	PUNCT
bracis-19040	515	12	between	between	ADP
bracis-19040	515	13	argument	argument	NOUN
bracis-19040	515	14	and	and	CCONJ
bracis-19040	515	15	conclusion	conclusion	NOUN
bracis-19040	515	16	-	-	PUNCT
bracis-19040	515	17	argument	argument	NOUN
bracis-19040	515	18	-	-	PUNCT
bracis-19040	515	19	based	base	VERB
bracis-19040	515	20	approaches	approach	NOUN
bracis-19040	515	21	to	to	ADP
bracis-19040	515	22	discussion	discussion	NOUN
bracis-19040	515	23	,	,	PUNCT
bracis-19040	515	24	inference	inference	NOUN
bracis-19040	515	25	and	and	CCONJ
bracis-19040	515	26	uncertainty	uncertainty	NOUN
bracis-19040	515	27	.	.	PUNCT
bracis-19040	516	1	ph.d	ph.d	PROPN
bracis-19040	516	2	.	.	PUNCT
bracis-19040	517	1	thesis	thesis	NOUN
bracis-19040	517	2	,	,	PUNCT
bracis-19040	517	3	university	university	NOUN
bracis-19040	517	4	of	of	ADP
bracis-19040	517	5	luxembourg	luxembourg	PROPN
bracis-19040	517	6	(	(	PUNCT
bracis-19040	517	7	2012	2012	NUM
bracis-19040	517	8	)	)	PUNCT
bracis-19040	517	9	google	google	PROPN
bracis-19040	517	10	scholar	scholar	NOUN
bracis-19040	517	11	  	  	SPACE
bracis-19040	517	12	wu	wu	PROPN
bracis-19040	517	13	,	,	PUNCT
bracis-19040	517	14	y.	y.	NOUN
bracis-19040	517	15	,	,	PUNCT
bracis-19040	517	16	podlaszewski	podlaszewski	NOUN
bracis-19040	517	17	,	,	PUNCT
bracis-19040	517	18	m.	m.	NOUN
bracis-19040	517	19	:	:	PUNCT
bracis-19040	517	20	implementing	implement	VERB
bracis-19040	517	21	crash	crash	NOUN
bracis-19040	517	22	-	-	PUNCT
bracis-19040	517	23	resistance	resistance	NOUN
bracis-19040	517	24	and	and	CCONJ
bracis-19040	517	25	non	non	ADJ
bracis-19040	517	26	-	-	NOUN
bracis-19040	517	27	interference	interference	NOUN
bracis-19040	517	28	in	in	ADP
bracis-19040	517	29	logic	logic	NOUN
bracis-19040	517	30	-	-	PUNCT
bracis-19040	517	31	based	base	VERB
bracis-19040	517	32	argumentation	argumentation	NOUN
bracis-19040	517	33	.	.	PUNCT
bracis-19040	518	1	j.	j.	PROPN
bracis-19040	518	2	logic	logic	PROPN
bracis-19040	518	3	comput	comput	NOUN
bracis-19040	518	4	.	.	PUNCT
bracis-19040	519	1	25(2	25(2	NUM
bracis-19040	519	2	)	)	PUNCT
bracis-19040	519	3	,	,	PUNCT
bracis-19040	519	4	303–333	303–333	NUM
bracis-19040	519	5	(	(	PUNCT
bracis-19040	519	6	2015	2015	NUM
bracis-19040	519	7	)	)	PUNCT
bracis-19040	519	8	article	article	NOUN
bracis-19040	519	9	  	  	SPACE
bracis-19040	519	10	mathscinet	mathscinet	NOUN
bracis-19040	519	11	  	  	SPACE
bracis-19040	519	12	google	google	PROPN
bracis-19040	519	13	scholar	scholar	NOUN
bracis-19040	519	14	  	  	SPACE
bracis-19040	519	15	rescher	rescher	NOUN
bracis-19040	519	16	,	,	PUNCT
bracis-19040	519	17	n.	n.	NOUN
bracis-19040	519	18	,	,	PUNCT
bracis-19040	519	19	manor	manor	NOUN
bracis-19040	519	20	,	,	PUNCT
bracis-19040	519	21	r.	r.	PROPN
bracis-19040	519	22	:	:	PUNCT
bracis-19040	519	23	on	on	ADP
bracis-19040	519	24	inference	inference	NOUN
bracis-19040	519	25	from	from	ADP
bracis-19040	519	26	inconsistent	inconsistent	ADJ
bracis-19040	519	27	premisses	premiss	NOUN
bracis-19040	519	28	.	.	PUNCT
bracis-19040	520	1	theory	theory	PROPN
bracis-19040	520	2	decis	decis	PROPN
bracis-19040	520	3	.	.	PROPN
bracis-19040	520	4	1(2	1(2	NUM
bracis-19040	520	5	)	)	PUNCT
bracis-19040	520	6	,	,	PUNCT
bracis-19040	520	7	179–217	179–217	NUM
bracis-19040	520	8	(	(	PUNCT
bracis-19040	520	9	1970	1970	NUM
bracis-19040	520	10	)	)	PUNCT
bracis-19040	520	11	article	article	NOUN
bracis-19040	520	12	  	  	SPACE
bracis-19040	520	13	google	google	PROPN
bracis-19040	520	14	scholar	scholar	NOUN
bracis-19040	520	15	  	  	SPACE
bracis-19040	520	16	caminada	caminada	NOUN
bracis-19040	520	17	,	,	PUNCT
bracis-19040	520	18	m.	m.	NOUN
bracis-19040	520	19	:	:	PUNCT
bracis-19040	520	20	semi	semi	ADJ
bracis-19040	520	21	-	-	ADJ
bracis-19040	520	22	stable	stable	ADJ
bracis-19040	520	23	semantics	semantic	NOUN
bracis-19040	520	24	.	.	PUNCT
bracis-19040	521	1	omma	omma	PROPN
bracis-19040	521	2	144	144	NUM
bracis-19040	521	3	,	,	PUNCT
bracis-19040	521	4	121–130	121–130	NUM
bracis-19040	521	5	(	(	PUNCT
bracis-19040	521	6	2006	2006	NUM
bracis-19040	521	7	)	)	PUNCT
bracis-19040	521	8	mathscinet	mathscinet	NOUN
bracis-19040	521	9	  	  	SPACE
bracis-19040	521	10	google	google	PROPN
bracis-19040	521	11	scholar	scholar	NOUN
bracis-19040	521	12	  	  	SPACE
bracis-19040	521	13	dung	dung	NOUN
bracis-19040	521	14	,	,	PUNCT
bracis-19040	521	15	p.	p.	NOUN
bracis-19040	521	16	:	:	PUNCT
bracis-19040	521	17	on	on	ADP
bracis-19040	521	18	the	the	DET
bracis-19040	521	19	acceptability	acceptability	NOUN
bracis-19040	521	20	of	of	ADP
bracis-19040	521	21	arguments	argument	NOUN
bracis-19040	521	22	and	and	CCONJ
bracis-19040	521	23	its	its	PRON
bracis-19040	521	24	fundamental	fundamental	ADJ
bracis-19040	521	25	role	role	NOUN
bracis-19040	521	26	in	in	ADP
bracis-19040	521	27	nonmonotonic	nonmonotonic	ADJ
bracis-19040	521	28	reasoning	reasoning	NOUN
bracis-19040	521	29	,	,	PUNCT
bracis-19040	521	30	logic	logic	NOUN
bracis-19040	521	31	programming	programming	NOUN
bracis-19040	521	32	and	and	CCONJ
bracis-19040	521	33	n	n	CCONJ
bracis-19040	521	34	-	-	PUNCT
bracis-19040	521	35	person	person	NOUN
bracis-19040	521	36	games	game	NOUN
bracis-19040	521	37	.	.	PUNCT
bracis-19040	522	1	artif	artif	INTJ
bracis-19040	522	2	.	.	PUNCT
bracis-19040	523	1	intell	intell	PROPN
bracis-19040	523	2	.	.	PUNCT
bracis-19040	524	1	77(2	77(2	X
bracis-19040	524	2	)	)	PUNCT
bracis-19040	524	3	,	,	PUNCT
bracis-19040	524	4	321–357	321–357	NUM
bracis-19040	524	5	(	(	PUNCT
bracis-19040	524	6	1995	1995	NUM
bracis-19040	524	7	)	)	PUNCT
bracis-19040	524	8	article	article	NOUN
bracis-19040	524	9	  	  	SPACE
bracis-19040	524	10	mathscinet	mathscinet	NOUN
bracis-19040	524	11	  	  	SPACE
bracis-19040	524	12	google	google	PROPN
bracis-19040	524	13	scholar	scholar	NOUN
bracis-19040	524	14	  	  	SPACE
bracis-19040	524	15	prakken	prakken	VERB
bracis-19040	524	16	,	,	PUNCT
bracis-19040	524	17	h.	h.	PROPN
bracis-19040	524	18	:	:	PUNCT
bracis-19040	524	19	an	an	DET
bracis-19040	524	20	abstract	abstract	ADJ
bracis-19040	524	21	framework	framework	NOUN
bracis-19040	524	22	for	for	ADP
bracis-19040	524	23	argumentation	argumentation	NOUN
bracis-19040	524	24	with	with	ADP
bracis-19040	524	25	structured	structured	ADJ
bracis-19040	524	26	arguments	argument	NOUN
bracis-19040	524	27	.	.	PUNCT
bracis-19040	525	1	argument	argument	NOUN
bracis-19040	525	2	comput	comput	NOUN
bracis-19040	525	3	.	.	PUNCT
bracis-19040	526	1	1(2	1(2	NUM
bracis-19040	526	2	)	)	PUNCT
bracis-19040	526	3	,	,	PUNCT
bracis-19040	527	1	93–124	93–124	NUM
bracis-19040	527	2	(	(	PUNCT
bracis-19040	527	3	2010	2010	NUM
bracis-19040	527	4	)	)	PUNCT
bracis-19040	527	5	article	article	NOUN
bracis-19040	527	6	  	  	SPACE
bracis-19040	527	7	google	google	PROPN
bracis-19040	527	8	scholar	scholar	NOUN
bracis-19040	527	9	  	  	SPACE
bracis-19040	527	10	damásio	damásio	NOUN
bracis-19040	527	11	,	,	PUNCT
bracis-19040	527	12	c.	c.	PROPN
bracis-19040	527	13	,	,	PUNCT
bracis-19040	527	14	moniz	moniz	PROPN
bracis-19040	527	15	pereira	pereira	PROPN
bracis-19040	527	16	,	,	PUNCT
bracis-19040	527	17	l.	l.	PROPN
bracis-19040	527	18	:	:	PUNCT
bracis-19040	527	19	a	a	DET
bracis-19040	527	20	survey	survey	NOUN
bracis-19040	527	21	of	of	ADP
bracis-19040	527	22	paraconsistent	paraconsistent	NOUN
bracis-19040	527	23	semantics	semantic	NOUN
bracis-19040	527	24	for	for	ADP
bracis-19040	527	25	logic	logic	NOUN
bracis-19040	527	26	programs	program	NOUN
bracis-19040	527	27	.	.	PUNCT
bracis-19040	528	1	in	in	ADP
bracis-19040	528	2	:	:	PUNCT
bracis-19040	528	3	besnard	besnard	PROPN
bracis-19040	528	4	,	,	PUNCT
bracis-19040	528	5	p.	p.	NOUN
bracis-19040	528	6	,	,	PUNCT
bracis-19040	528	7	hunter	hunter	NOUN
bracis-19040	528	8	,	,	PUNCT
bracis-19040	528	9	a.	a.	NOUN
bracis-19040	528	10	(	(	PUNCT
bracis-19040	528	11	eds	ed	NOUN
bracis-19040	528	12	.	.	PUNCT
bracis-19040	528	13	)	)	PUNCT
bracis-19040	528	14	reasoning	reason	VERB
bracis-19040	528	15	with	with	ADP
bracis-19040	528	16	actual	actual	ADJ
bracis-19040	528	17	and	and	CCONJ
bracis-19040	528	18	potential	potential	ADJ
bracis-19040	528	19	contradictions	contradiction	NOUN
bracis-19040	528	20	.	.	PUNCT
bracis-19040	529	1	handbook	handbook	NOUN
bracis-19040	529	2	of	of	ADP
bracis-19040	529	3	defeasible	defeasible	ADJ
bracis-19040	529	4	reasoning	reasoning	NOUN
bracis-19040	529	5	and	and	CCONJ
bracis-19040	529	6	uncertainty	uncertainty	NOUN
bracis-19040	529	7	management	management	NOUN
bracis-19040	529	8	systems	system	NOUN
bracis-19040	529	9	,	,	PUNCT
bracis-19040	529	10	vol	vol	NOUN
bracis-19040	529	11	.	.	PROPN
bracis-19040	529	12	2	2	NUM
bracis-19040	529	13	,	,	PUNCT
bracis-19040	529	14	pp	pp	ADJ
bracis-19040	529	15	.	.	PUNCT
bracis-19040	530	1	241–320	241–320	NUM
bracis-19040	530	2	.	.	PUNCT
bracis-19040	530	3	springer	springer	NOUN
bracis-19040	530	4	,	,	PUNCT
bracis-19040	530	5	cham	cham	PROPN
bracis-19040	530	6	(	(	PUNCT
bracis-19040	530	7	1998	1998	NUM
bracis-19040	530	8	)	)	PUNCT
bracis-19040	530	9	.	.	PUNCT
bracis-19040	531	1	https://doi.org/10.1007/978-94-017-1739-7_8	https://doi.org/10.1007/978-94-017-1739-7_8	PROPN
bracis-19040	531	2	download	download	NOUN
bracis-19040	531	3	references	reference	NOUN
bracis-19040	531	4	author	author	NOUN
bracis-19040	531	5	information	information	NOUN
bracis-19040	531	6	authors	author	NOUN
bracis-19040	531	7	and	and	CCONJ
bracis-19040	531	8	affiliations	affiliation	NOUN
bracis-19040	531	9	department	department	PROPN
bracis-19040	531	10	of	of	ADP
bracis-19040	531	11	computer	computer	NOUN
bracis-19040	531	12	science	science	NOUN
bracis-19040	531	13	,	,	PUNCT
bracis-19040	531	14	federal	federal	ADJ
bracis-19040	531	15	university	university	PROPN
bracis-19040	531	16	of	of	ADP
bracis-19040	531	17	ceará	ceará	NOUN
bracis-19040	531	18	,	,	PUNCT
bracis-19040	531	19	fortaleza	fortaleza	PROPN
bracis-19040	531	20	,	,	PUNCT
bracis-19040	531	21	brazil	brazil	PROPN
bracis-19040	531	22	rafael	rafael	PROPN
bracis-19040	531	23	silva	silva	PROPN
bracis-19040	531	24	 	 	SPACE
bracis-19040	531	25	&	&	CCONJ
bracis-19040	531	26	 	 	SPACE
bracis-19040	531	27	joão	joão	PROPN
bracis-19040	531	28	alcântara	alcântara	PROPN
bracis-19040	531	29	authors	author	NOUN
bracis-19040	531	30	rafael	rafael	PROPN
bracis-19040	531	31	silvaview	silvaview	VERB
bracis-19040	531	32	author	author	NOUN
bracis-19040	531	33	publications	publication	NOUN
bracis-19040	531	34	search	search	NOUN
bracis-19040	531	35	author	author	NOUN
bracis-19040	531	36	on	on	ADP
bracis-19040	531	37	:	:	PUNCT
bracis-19040	531	38	pubmed	pubmed	PROPN
bracis-19040	531	39	 	 	SPACE
bracis-19040	531	40	google	google	PROPN
bracis-19040	531	41	scholar	scholar	PROPN
bracis-19040	531	42	joão	joão	PROPN
bracis-19040	531	43	alcântaraview	alcântaraview	PROPN
bracis-19040	531	44	author	author	NOUN
bracis-19040	531	45	publications	publication	VERB
bracis-19040	531	46	search	search	NOUN
bracis-19040	531	47	author	author	NOUN
bracis-19040	531	48	on	on	ADP
bracis-19040	531	49	:	:	PUNCT
bracis-19040	531	50	pubmed	pubmed	PROPN
bracis-19040	531	51	 	 	SPACE
bracis-19040	531	52	google	google	PROPN
bracis-19040	531	53	scholar	scholar	NOUN
bracis-19040	531	54	corresponding	correspond	VERB
bracis-19040	531	55	author	author	NOUN
bracis-19040	531	56	correspondence	correspondence	NOUN
bracis-19040	531	57	to	to	ADP
bracis-19040	531	58	rafael	rafael	PROPN
bracis-19040	531	59	silva	silva	PROPN
bracis-19040	531	60	.	.	PUNCT
bracis-19040	532	1	editor	editor	NOUN
bracis-19040	532	2	information	information	NOUN
bracis-19040	532	3	editors	editor	NOUN
bracis-19040	532	4	and	and	CCONJ
bracis-19040	532	5	affiliations	affiliation	NOUN
bracis-19040	532	6	universidade	universidade	PROPN
bracis-19040	532	7	federal	federal	PROPN
bracis-19040	532	8	de	de	X
bracis-19040	532	9	sergipe	sergipe	PROPN
bracis-19040	532	10	,	,	PUNCT
bracis-19040	532	11	são	são	NOUN
bracis-19040	532	12	cristóvão	cristóvão	PROPN
bracis-19040	532	13	,	,	PUNCT
bracis-19040	532	14	brazil	brazil	PROPN
bracis-19040	532	15	andré	andré	PROPN
bracis-19040	532	16	britto	britto	PROPN
bracis-19040	532	17	universidade	universidade	PROPN
bracis-19040	532	18	de	de	PROPN
bracis-19040	532	19	são	são	PROPN
bracis-19040	532	20	paulo	paulo	PROPN
bracis-19040	532	21	,	,	PUNCT
bracis-19040	532	22	são	são	PROPN
bracis-19040	532	23	paulo	paulo	PROPN
bracis-19040	532	24	,	,	PUNCT
bracis-19040	532	25	brazil	brazil	PROPN
bracis-19040	532	26	karina	karina	PROPN
bracis-19040	532	27	valdivia	valdivia	PROPN
bracis-19040	532	28	delgado	delgado	VERB
bracis-19040	532	29	rights	right	NOUN
bracis-19040	532	30	and	and	CCONJ
bracis-19040	532	31	permissions	permission	NOUN
bracis-19040	532	32	reprints	reprint	NOUN
bracis-19040	532	33	and	and	CCONJ
bracis-19040	532	34	permissions	permission	VERB
bracis-19040	532	35	copyright	copyright	NOUN
bracis-19040	532	36	information	information	NOUN
bracis-19040	532	37	©	©	PROPN
bracis-19040	532	38	2021	2021	NUM
bracis-19040	532	39	springer	springer	NOUN
bracis-19040	532	40	nature	nature	NOUN
bracis-19040	532	41	switzerland	switzerland	PROPN
bracis-19040	532	42	ag	ag	PROPN
bracis-19040	532	43	about	about	ADP
bracis-19040	532	44	this	this	DET
bracis-19040	532	45	paper	paper	NOUN
bracis-19040	532	46	cite	cite	VERB
bracis-19040	532	47	this	this	DET
bracis-19040	532	48	paper	paper	NOUN
bracis-19040	532	49	silva	silva	NOUN
bracis-19040	532	50	,	,	PUNCT
bracis-19040	532	51	r.	r.	PROPN
bracis-19040	532	52	,	,	PUNCT
bracis-19040	532	53	alcântara	alcântara	ADJ
bracis-19040	532	54	,	,	PUNCT
bracis-19040	532	55	j.	j.	PROPN
bracis-19040	532	56	(	(	PUNCT
bracis-19040	532	57	2021	2021	NUM
bracis-19040	532	58	)	)	PUNCT
bracis-19040	532	59	.	.	PUNCT
bracis-19040	533	1	\	\	NOUN
bracis-19040	533	2	(	(	PUNCT
bracis-19040	533	3	aspic	aspic	NOUN
bracis-19040	533	4	^?\	^?\	NUM
bracis-19040	533	5	)	)	PUNCT
bracis-19040	533	6	and	and	CCONJ
bracis-19040	533	7	the	the	DET
bracis-19040	533	8	postulates	postulate	NOUN
bracis-19040	533	9	of	of	ADP
bracis-19040	533	10	non	non	ADJ
bracis-19040	533	11	-	-	ADJ
bracis-19040	533	12	interference	interference	NOUN
bracis-19040	533	13	and	and	CCONJ
bracis-19040	533	14	crash	crash	NOUN
bracis-19040	533	15	-	-	PUNCT
bracis-19040	533	16	resistance	resistance	NOUN
bracis-19040	533	17	.	.	PUNCT
bracis-19040	534	1	in	in	ADP
bracis-19040	534	2	:	:	PUNCT
bracis-19040	534	3	britto	britto	PROPN
bracis-19040	534	4	,	,	PUNCT
bracis-19040	534	5	a.	a.	PROPN
bracis-19040	534	6	,	,	PUNCT
bracis-19040	534	7	valdivia	valdivia	PROPN
bracis-19040	534	8	delgado	delgado	PROPN
bracis-19040	534	9	,	,	PUNCT
bracis-19040	534	10	k.	k.	PROPN
bracis-19040	534	11	(	(	PUNCT
bracis-19040	534	12	eds	eds	PROPN
bracis-19040	534	13	)	)	PUNCT
bracis-19040	534	14	intelligent	intelligent	ADJ
bracis-19040	534	15	systems	system	NOUN
bracis-19040	534	16	.	.	PUNCT
bracis-19040	535	1	bracis	bracis	PROPN
bracis-19040	535	2	2021	2021	NUM
bracis-19040	535	3	.	.	PUNCT
bracis-19040	536	1	lecture	lecture	NOUN
bracis-19040	536	2	notes	note	NOUN
bracis-19040	536	3	in	in	ADP
bracis-19040	536	4	computer	computer	NOUN
bracis-19040	536	5	science	science	NOUN
bracis-19040	536	6	(	(	PUNCT
bracis-19040	536	7	)	)	PUNCT
bracis-19040	536	8	,	,	PUNCT
bracis-19040	536	9	vol	vol	NOUN
bracis-19040	536	10	13073	13073	NUM
bracis-19040	536	11	.	.	PUNCT
bracis-19040	537	1	springer	springer	NOUN
bracis-19040	537	2	,	,	PUNCT
bracis-19040	537	3	cham	cham	PROPN
bracis-19040	537	4	.	.	PUNCT
bracis-19040	538	1	https://doi.org/10.1007/978-3-030-91702-9_22	https://doi.org/10.1007/978-3-030-91702-9_22	PROPN
bracis-19040	538	2	download	download	NOUN
bracis-19040	538	3	citation	citation	NOUN
bracis-19040	538	4	.ris	.ris	PUNCT
bracis-19040	538	5	.enw	.enw	PROPN
bracis-19040	538	6	.bib	.bib	PUNCT
bracis-19040	539	1	doi	doi	PROPN
bracis-19040	539	2	:	:	PUNCT
bracis-19040	539	3	https://doi.org/10.1007/978-3-030-91702-9_22	https://doi.org/10.1007/978-3-030-91702-9_22	NOUN
bracis-19040	539	4	published	publish	VERB
bracis-19040	539	5	:	:	PUNCT
bracis-19040	539	6	28	28	NUM
bracis-19040	539	7	november	november	PROPN
bracis-19040	539	8	2021	2021	NUM
bracis-19040	539	9	publisher	publisher	NOUN
bracis-19040	539	10	name	name	NOUN
bracis-19040	539	11	:	:	PUNCT
bracis-19040	539	12	springer	springer	NOUN
bracis-19040	539	13	,	,	PUNCT
bracis-19040	539	14	cham	cham	PROPN
bracis-19040	539	15	print	print	PROPN
bracis-19040	539	16	isbn	isbn	PROPN
bracis-19040	539	17	:	:	PUNCT
bracis-19040	539	18	978	978	NUM
bracis-19040	539	19	-	-	SYM
bracis-19040	539	20	3	3	NUM
bracis-19040	539	21	-	-	PUNCT
bracis-19040	539	22	030	030	NUM
bracis-19040	539	23	-	-	PUNCT
bracis-19040	539	24	91701	91701	NUM
bracis-19040	539	25	-	-	SYM
bracis-19040	539	26	2	2	NUM
bracis-19040	539	27	online	online	ADJ
bracis-19040	539	28	isbn	isbn	NOUN
bracis-19040	539	29	:	:	PUNCT
bracis-19040	539	30	978	978	NUM
bracis-19040	539	31	-	-	SYM
bracis-19040	539	32	3	3	NUM
bracis-19040	539	33	-	-	PUNCT
bracis-19040	539	34	030	030	NUM
bracis-19040	539	35	-	-	PUNCT
bracis-19040	539	36	91702	91702	NUM
bracis-19040	539	37	-	-	SYM
bracis-19040	539	38	9	9	NUM
bracis-19040	539	39	ebook	ebook	NOUN
bracis-19040	539	40	packages	package	NOUN
bracis-19040	539	41	:	:	PUNCT
bracis-19040	539	42	computer	computer	NOUN
bracis-19040	539	43	sciencecomputer	sciencecomputer	NOUN
bracis-19040	539	44	science	science	NOUN
bracis-19040	539	45	(	(	PUNCT
bracis-19040	539	46	r0	r0	NOUN
bracis-19040	539	47	)	)	PUNCT
bracis-19040	539	48	share	share	VERB
bracis-19040	539	49	this	this	DET
bracis-19040	539	50	paper	paper	NOUN
bracis-19040	539	51	anyone	anyone	PRON
bracis-19040	539	52	you	you	PRON
bracis-19040	539	53	share	share	VERB
bracis-19040	539	54	the	the	DET
bracis-19040	539	55	following	follow	VERB
bracis-19040	539	56	link	link	NOUN
bracis-19040	539	57	with	with	ADP
bracis-19040	539	58	will	will	AUX
bracis-19040	539	59	be	be	AUX
bracis-19040	539	60	able	able	ADJ
bracis-19040	539	61	to	to	PART
bracis-19040	539	62	read	read	VERB
bracis-19040	539	63	this	this	DET
bracis-19040	539	64	content	content	NOUN
bracis-19040	539	65	:	:	PUNCT
bracis-19040	539	66	get	get	VERB
bracis-19040	539	67	shareable	shareable	ADJ
bracis-19040	539	68	linksorry	linksorry	NOUN
bracis-19040	539	69	,	,	PUNCT
bracis-19040	539	70	a	a	DET
bracis-19040	539	71	shareable	shareable	ADJ
bracis-19040	539	72	link	link	NOUN
bracis-19040	539	73	is	be	AUX
bracis-19040	539	74	not	not	PART
bracis-19040	539	75	currently	currently	ADV
bracis-19040	539	76	available	available	ADJ
bracis-19040	539	77	for	for	ADP
bracis-19040	539	78	this	this	DET
bracis-19040	539	79	article	article	NOUN
bracis-19040	539	80	.	.	PUNCT
bracis-19040	540	1	copy	copy	VERB
bracis-19040	540	2	shareable	shareable	ADJ
bracis-19040	540	3	link	link	NOUN
bracis-19040	540	4	to	to	PART
bracis-19040	540	5	clipboard	clipboard	NOUN
bracis-19040	540	6	provided	provide	VERB
bracis-19040	540	7	by	by	ADP
bracis-19040	540	8	the	the	DET
bracis-19040	540	9	springer	springer	NOUN
bracis-19040	540	10	nature	nature	PROPN
bracis-19040	540	11	sharedit	sharedit	PROPN
bracis-19040	540	12	content	content	NOUN
bracis-19040	540	13	-	-	PUNCT
bracis-19040	540	14	sharing	share	VERB
bracis-19040	540	15	initiative	initiative	NOUN
bracis-19040	540	16	keywords	keyword	NOUN
bracis-19040	540	17	argumentation	argumentation	NOUN
bracis-19040	540	18	paraconsistency	paraconsistency	NOUN
bracis-19040	540	19	conflict	conflict	NOUN
bracis-19040	540	20	-	-	PUNCT
bracis-19040	540	21	tolerance	tolerance	NOUN
bracis-19040	540	22	publish	publish	NOUN
bracis-19040	540	23	with	with	ADP
bracis-19040	540	24	us	us	PROPN
bracis-19040	540	25	policies	policy	NOUN
bracis-19040	540	26	and	and	CCONJ
bracis-19040	540	27	ethics	ethic	NOUN
bracis-19040	540	28	search	search	NOUN
bracis-19040	540	29	search	search	NOUN
bracis-19040	540	30	by	by	ADP
bracis-19040	540	31	keyword	keyword	NOUN
bracis-19040	540	32	or	or	CCONJ
bracis-19040	540	33	author	author	NOUN
bracis-19040	540	34	search	search	NOUN
bracis-19040	540	35	navigation	navigation	NOUN
bracis-19040	540	36	find	find	VERB
bracis-19040	540	37	a	a	DET
bracis-19040	540	38	journal	journal	NOUN
bracis-19040	540	39	publish	publish	VERB
bracis-19040	540	40	with	with	ADP
bracis-19040	540	41	us	we	PRON
bracis-19040	540	42	track	track	VERB
bracis-19040	540	43	your	your	PRON
bracis-19040	540	44	research	research	NOUN
bracis-19040	540	45	discover	discover	VERB
bracis-19040	540	46	content	content	NOUN
bracis-19040	540	47	journals	journal	NOUN
bracis-19040	540	48	a	a	DET
bracis-19040	540	49	-	-	PUNCT
bracis-19040	540	50	z	z	NOUN
bracis-19040	540	51	books	book	NOUN
bracis-19040	540	52	a	a	DET
bracis-19040	540	53	-	-	PUNCT
bracis-19040	540	54	z	z	NOUN
bracis-19040	540	55	publish	publish	NOUN
bracis-19040	540	56	with	with	ADP
bracis-19040	540	57	us	us	PROPN
bracis-19040	540	58	journal	journal	PROPN
bracis-19040	540	59	finder	finder	PROPN
bracis-19040	540	60	publish	publish	VERB
bracis-19040	540	61	your	your	PRON
bracis-19040	540	62	research	research	NOUN
bracis-19040	540	63	language	language	NOUN
bracis-19040	540	64	editing	edit	VERB
bracis-19040	540	65	open	open	ADJ
bracis-19040	540	66	access	access	NOUN
bracis-19040	540	67	publishing	publishing	NOUN
bracis-19040	540	68	products	product	NOUN
bracis-19040	540	69	and	and	CCONJ
bracis-19040	540	70	services	service	NOUN
bracis-19040	540	71	our	our	PRON
bracis-19040	540	72	products	product	NOUN
bracis-19040	540	73	librarians	librarian	VERB
bracis-19040	540	74	societies	society	NOUN
bracis-19040	540	75	partners	partner	NOUN
bracis-19040	540	76	and	and	CCONJ
bracis-19040	540	77	advertisers	advertiser	NOUN
bracis-19040	540	78	our	our	PRON
bracis-19040	540	79	brands	brand	NOUN
bracis-19040	540	80	springer	springer	NOUN
bracis-19040	540	81	nature	nature	PROPN
bracis-19040	540	82	portfolio	portfolio	PROPN
bracis-19040	540	83	bmc	bmc	PROPN
bracis-19040	540	84	palgrave	palgrave	PROPN
bracis-19040	540	85	macmillan	macmillan	PROPN
bracis-19040	540	86	apress	apress	PROPN
bracis-19040	540	87	discover	discover	VERB
bracis-19040	540	88	your	your	PRON
bracis-19040	540	89	privacy	privacy	NOUN
bracis-19040	540	90	choices	choice	NOUN
bracis-19040	540	91	/	/	SYM
bracis-19040	540	92	manage	manage	NOUN
bracis-19040	540	93	cookies	cookie	NOUN
bracis-19040	540	94	your	your	PRON
bracis-19040	540	95	us	us	PROPN
bracis-19040	541	1	state	state	NOUN
bracis-19040	541	2	privacy	privacy	NOUN
bracis-19040	541	3	rights	right	NOUN
bracis-19040	541	4	accessibility	accessibility	NOUN
bracis-19040	541	5	statement	statement	NOUN
bracis-19040	541	6	terms	term	NOUN
bracis-19040	541	7	and	and	CCONJ
bracis-19040	541	8	conditions	condition	NOUN
bracis-19040	541	9	privacy	privacy	NOUN
bracis-19040	541	10	policy	policy	NOUN
bracis-19040	541	11	help	help	NOUN
bracis-19040	541	12	and	and	CCONJ
bracis-19040	541	13	support	support	VERB
bracis-19040	541	14	legal	legal	ADJ
bracis-19040	541	15	notice	notice	NOUN
bracis-19040	541	16	cancel	cancel	VERB
bracis-19040	541	17	contracts	contract	NOUN
bracis-19040	541	18	here	here	ADV
bracis-19040	541	19	129.74.145.123	129.74.145.123	NUM
bracis-19040	541	20	hesburgh	hesburgh	PROPN
bracis-19040	541	21	library	library	PROPN
bracis-19040	541	22	er	er	INTJ
bracis-19040	541	23	unit	unit	NOUN
bracis-19040	541	24	(	(	PUNCT
bracis-19040	541	25	3005732405	3005732405	NUM
bracis-19040	541	26	)	)	PUNCT
bracis-19040	541	27	northeast	northeast	ADJ
bracis-19040	541	28	research	research	NOUN
bracis-19040	541	29	libraries	library	NOUN
bracis-19040	541	30	(	(	PUNCT
bracis-19040	541	31	nerl	nerl	PROPN
bracis-19040	541	32	)	)	PUNCT
bracis-19040	541	33	(	(	PUNCT
bracis-19040	541	34	8200828607	8200828607	NUM
bracis-19040	541	35	)	)	PUNCT
bracis-19040	541	36	nerl	nerl	VERB
bracis-19040	541	37	ta	ta	X
bracis-19040	541	38	account	account	NOUN
bracis-19040	541	39	(	(	PUNCT
bracis-19040	541	40	3006206169	3006206169	NUM
bracis-19040	541	41	)	)	PUNCT
bracis-19040	541	42	university	university	NOUN
bracis-19040	541	43	of	of	ADP
bracis-19040	541	44	notre	notre	PROPN
bracis-19040	541	45	dame	dame	PROPN
bracis-19040	541	46	hesburgh	hesburgh	PROPN
bracis-19040	541	47	library	library	NOUN
bracis-19040	541	48	(	(	PUNCT
bracis-19040	541	49	3000184373	3000184373	NUM
bracis-19040	541	50	)	)	PUNCT
bracis-19040	542	1	©	©	ADP
bracis-19040	542	2	2025	2025	NUM
bracis-19040	542	3	springer	springer	NOUN
bracis-19040	542	4	nature	nature	NOUN