id	sid	tid	token	lemma	pos
wm117m03w68	1	1	the	the	DET
wm117m03w68	1	2	main	main	ADJ
wm117m03w68	1	3	purpose	purpose	NOUN
wm117m03w68	1	4	of	of	ADP
wm117m03w68	1	5	this	this	DET
wm117m03w68	1	6	thesis	thesis	NOUN
wm117m03w68	1	7	is	be	AUX
wm117m03w68	1	8	to	to	PART
wm117m03w68	1	9	generalize	generalize	VERB
wm117m03w68	1	10	many	many	ADJ
wm117m03w68	1	11	of	of	ADP
wm117m03w68	1	12	the	the	DET
wm117m03w68	1	13	results	result	NOUN
wm117m03w68	1	14	of	of	ADP
wm117m03w68	1	15	dyer	dyer	NOUN
wm117m03w68	1	16	,	,	PUNCT
wm117m03w68	1	17	[	[	X
wm117m03w68	1	18	18	18	NUM
wm117m03w68	1	19	]	]	PUNCT
wm117m03w68	1	20	.	.	PUNCT
wm117m03w68	2	1	dyer	dyer	NOUN
wm117m03w68	2	2	introduces	introduce	VERB
wm117m03w68	2	3	a	a	DET
wm117m03w68	2	4	large	large	ADJ
wm117m03w68	2	5	family	family	NOUN
wm117m03w68	2	6	of	of	ADP
wm117m03w68	2	7	finite	finite	PROPN
wm117m03w68	2	8	state	state	NOUN
wm117m03w68	2	9	automata	automata	PROPN
wm117m03w68	2	10	that	that	PRON
wm117m03w68	2	11	are	be	AUX
wm117m03w68	2	12	demonstrated	demonstrate	VERB
wm117m03w68	2	13	to	to	PART
wm117m03w68	2	14	recognize	recognize	VERB
wm117m03w68	2	15	many	many	ADJ
wm117m03w68	2	16	natural	natural	ADJ
wm117m03w68	2	17	subsets	subset	NOUN
wm117m03w68	2	18	of	of	ADP
wm117m03w68	2	19	coxeter	coxeter	NOUN
wm117m03w68	2	20	groups	group	NOUN
wm117m03w68	2	21	.	.	PUNCT
wm117m03w68	3	1	in	in	ADP
wm117m03w68	3	2	the	the	DET
wm117m03w68	3	3	current	current	ADJ
wm117m03w68	3	4	work	work	NOUN
wm117m03w68	3	5	,	,	PUNCT
wm117m03w68	3	6	we	we	PRON
wm117m03w68	3	7	consider	consider	VERB
wm117m03w68	3	8	generalized	generalized	ADJ
wm117m03w68	3	9	length	length	NOUN
wm117m03w68	3	10	functions	function	NOUN
wm117m03w68	3	11	in	in	ADP
wm117m03w68	3	12	coxeter	coxeter	NOUN
wm117m03w68	3	13	systems	system	NOUN
wm117m03w68	3	14	and	and	CCONJ
wm117m03w68	3	15	show	show	VERB
wm117m03w68	3	16	that	that	SCONJ
wm117m03w68	3	17	these	these	DET
wm117m03w68	3	18	length	length	NOUN
wm117m03w68	3	19	functions	function	NOUN
wm117m03w68	3	20	lead	lead	VERB
wm117m03w68	3	21	to	to	ADP
wm117m03w68	3	22	a	a	DET
wm117m03w68	3	23	larger	large	ADJ
wm117m03w68	3	24	family	family	NOUN
wm117m03w68	3	25	of	of	ADP
wm117m03w68	3	26	finite	finite	PROPN
wm117m03w68	3	27	state	state	PROPN
wm117m03w68	3	28	automata	automata	PROPN
wm117m03w68	3	29	,	,	PUNCT
wm117m03w68	3	30	which	which	PRON
wm117m03w68	3	31	in	in	ADP
wm117m03w68	3	32	turn	turn	NOUN
wm117m03w68	3	33	recognize	recognize	VERB
wm117m03w68	3	34	a	a	DET
wm117m03w68	3	35	larger	large	ADJ
wm117m03w68	3	36	class	class	NOUN
wm117m03w68	3	37	of	of	ADP
wm117m03w68	3	38	natural	natural	ADJ
wm117m03w68	3	39	subsets	subset	NOUN
wm117m03w68	3	40	of	of	ADP
wm117m03w68	3	41	coxeter	coxeter	NOUN
wm117m03w68	3	42	groups	group	NOUN
wm117m03w68	3	43	.	.	PUNCT
wm117m03w68	4	1	by	by	ADP
wm117m03w68	4	2	a	a	DET
wm117m03w68	4	3	well	well	ADV
wm117m03w68	4	4	-	-	PUNCT
wm117m03w68	4	5	known	know	VERB
wm117m03w68	4	6	result	result	NOUN
wm117m03w68	4	7	,	,	PUNCT
wm117m03w68	4	8	these	these	DET
wm117m03w68	4	9	subsets	subset	NOUN
wm117m03w68	4	10	(	(	PUNCT
wm117m03w68	4	11	called	call	VERB
wm117m03w68	4	12	regular	regular	ADJ
wm117m03w68	4	13	subsets	subset	NOUN
wm117m03w68	4	14	)	)	PUNCT
wm117m03w68	4	15	will	will	AUX
wm117m03w68	4	16	then	then	ADV
wm117m03w68	4	17	have	have	VERB
wm117m03w68	4	18	a	a	DET
wm117m03w68	4	19	rational	rational	ADJ
wm117m03w68	4	20	multivariate	multivariate	NOUN
wm117m03w68	4	21	poincarìäå	poincarìäå	PROPN
wm117m03w68	4	22	©	©	PROPN
wm117m03w68	4	23	series	series	PROPN
wm117m03w68	4	24	.	.	PUNCT
wm117m03w68	5	1	dominance	dominance	NOUN
wm117m03w68	5	2	order	order	NOUN
wm117m03w68	5	3	on	on	ADP
wm117m03w68	5	4	the	the	DET
wm117m03w68	5	5	set	set	NOUN
wm117m03w68	5	6	of	of	ADP
wm117m03w68	5	7	reflections	reflection	NOUN
wm117m03w68	5	8	(	(	PUNCT
wm117m03w68	5	9	or	or	CCONJ
wm117m03w68	5	10	positive	positive	ADJ
wm117m03w68	5	11	roots	root	NOUN
wm117m03w68	5	12	)	)	PUNCT
wm117m03w68	5	13	of	of	ADP
wm117m03w68	5	14	a	a	DET
wm117m03w68	5	15	coxeter	coxeter	NOUN
wm117m03w68	5	16	system	system	NOUN
wm117m03w68	5	17	plays	play	VERB
wm117m03w68	5	18	a	a	DET
wm117m03w68	5	19	major	major	ADJ
wm117m03w68	5	20	role	role	NOUN
wm117m03w68	5	21	in	in	ADP
wm117m03w68	5	22	the	the	DET
wm117m03w68	5	23	study	study	NOUN
wm117m03w68	5	24	of	of	ADP
wm117m03w68	5	25	regular	regular	ADJ
wm117m03w68	5	26	subsets	subset	NOUN
wm117m03w68	5	27	.	.	PUNCT
wm117m03w68	6	1	we	we	PRON
wm117m03w68	6	2	draw	draw	VERB
wm117m03w68	6	3	the	the	DET
wm117m03w68	6	4	connection	connection	NOUN
wm117m03w68	6	5	between	between	ADP
wm117m03w68	6	6	dominance	dominance	NOUN
wm117m03w68	6	7	in	in	ADP
wm117m03w68	6	8	root	root	NOUN
wm117m03w68	6	9	systems	system	NOUN
wm117m03w68	6	10	and	and	CCONJ
wm117m03w68	6	11	a	a	DET
wm117m03w68	6	12	notion	notion	NOUN
wm117m03w68	6	13	of	of	ADP
wm117m03w68	6	14	closure	closure	NOUN
wm117m03w68	6	15	in	in	ADP
wm117m03w68	6	16	root	root	NOUN
wm117m03w68	6	17	systems	system	NOUN
wm117m03w68	6	18	.	.	PUNCT
wm117m03w68	7	1	we	we	PRON
wm117m03w68	7	2	describe	describe	VERB
wm117m03w68	7	3	some	some	DET
wm117m03w68	7	4	conjectures	conjecture	NOUN
wm117m03w68	7	5	,	,	PUNCT
wm117m03w68	7	6	due	due	ADP
wm117m03w68	7	7	to	to	ADP
wm117m03w68	7	8	dyer	dyer	NOUN
wm117m03w68	7	9	,	,	PUNCT
wm117m03w68	7	10	[	[	X
wm117m03w68	7	11	17	17	NUM
wm117m03w68	7	12	]	]	PUNCT
wm117m03w68	7	13	,	,	PUNCT
wm117m03w68	7	14	and	and	CCONJ
wm117m03w68	7	15	introduce	introduce	VERB
wm117m03w68	7	16	a	a	DET
wm117m03w68	7	17	conjectural	conjectural	ADJ
wm117m03w68	7	18	normal	normal	ADJ
wm117m03w68	7	19	form	form	NOUN
wm117m03w68	7	20	for	for	ADP
wm117m03w68	7	21	coxeter	coxeter	NOUN
wm117m03w68	7	22	group	group	NOUN
wm117m03w68	7	23	elements	element	NOUN
wm117m03w68	7	24	related	relate	VERB
wm117m03w68	7	25	to	to	ADP
wm117m03w68	7	26	closure	closure	NOUN
wm117m03w68	7	27	and	and	CCONJ
wm117m03w68	7	28	dominance	dominance	NOUN
wm117m03w68	7	29	.	.	PUNCT
wm117m03w68	8	1	in	in	ADP
wm117m03w68	8	2	[	[	PUNCT
wm117m03w68	8	3	14	14	NUM
wm117m03w68	8	4	]	]	PUNCT
wm117m03w68	8	5	,	,	PUNCT
wm117m03w68	8	6	dyer	dyer	NOUN
wm117m03w68	8	7	introduced	introduce	VERB
wm117m03w68	8	8	the	the	DET
wm117m03w68	8	9	notion	notion	NOUN
wm117m03w68	8	10	of	of	ADP
wm117m03w68	8	11	the	the	DET
wm117m03w68	8	12	imaginary	imaginary	ADJ
wm117m03w68	8	13	cone	cone	NOUN
wm117m03w68	8	14	to	to	PART
wm117m03w68	8	15	characterize	characterize	VERB
wm117m03w68	8	16	dominance	dominance	NOUN
wm117m03w68	8	17	.	.	PUNCT
wm117m03w68	9	1	we	we	PRON
wm117m03w68	9	2	investigate	investigate	VERB
wm117m03w68	9	3	the	the	DET
wm117m03w68	9	4	imaginary	imaginary	ADJ
wm117m03w68	9	5	cone	cone	NOUN
wm117m03w68	9	6	in	in	ADP
wm117m03w68	9	7	the	the	DET
wm117m03w68	9	8	special	special	ADJ
wm117m03w68	9	9	case	case	NOUN
wm117m03w68	9	10	of	of	ADP
wm117m03w68	9	11	hyperbolic	hyperbolic	ADJ
wm117m03w68	9	12	coxeter	coxeter	NOUN
wm117m03w68	9	13	systems	system	NOUN
wm117m03w68	9	14	.	.	PUNCT
wm117m03w68	10	1	we	we	PRON
wm117m03w68	10	2	show	show	VERB
wm117m03w68	10	3	that	that	SCONJ
wm117m03w68	10	4	any	any	DET
wm117m03w68	10	5	infinite	infinite	ADJ
wm117m03w68	10	6	,	,	PUNCT
wm117m03w68	10	7	irreducible	irreducible	ADJ
wm117m03w68	10	8	,	,	PUNCT
wm117m03w68	10	9	non	non	ADJ
wm117m03w68	10	10	-	-	ADJ
wm117m03w68	10	11	affne	affne	PROPN
wm117m03w68	10	12	coxeter	coxeter	NOUN
wm117m03w68	10	13	system	system	NOUN
wm117m03w68	10	14	has	have	VERB
wm117m03w68	10	15	universal	universal	ADJ
wm117m03w68	10	16	reflection	reflection	NOUN
wm117m03w68	10	17	subgroups	subgroup	NOUN
wm117m03w68	10	18	of	of	ADP
wm117m03w68	10	19	arbitrarily	arbitrarily	ADV
wm117m03w68	10	20	large	large	ADJ
wm117m03w68	10	21	rank	rank	NOUN
wm117m03w68	10	22	.	.	PUNCT
wm117m03w68	11	1	this	this	PRON
wm117m03w68	11	2	allows	allow	VERB
wm117m03w68	11	3	us	we	PRON
wm117m03w68	11	4	to	to	PART
wm117m03w68	11	5	deduce	deduce	VERB
wm117m03w68	11	6	some	some	DET
wm117m03w68	11	7	consequences	consequence	NOUN
wm117m03w68	11	8	about	about	ADP
wm117m03w68	11	9	the	the	DET
wm117m03w68	11	10	growth	growth	NOUN
wm117m03w68	11	11	type	type	NOUN
wm117m03w68	11	12	of	of	ADP
wm117m03w68	11	13	coxeter	coxeter	NOUN
wm117m03w68	11	14	systems	system	NOUN
wm117m03w68	11	15	.	.	PUNCT