id	sid	tid	token	lemma	pos
ap-2015	1	1	acta	acta	PROPN
ap-2015	1	2	polytechnica	polytechnica	PROPN
ap-2015	1	3	doi:10.14311	doi:10.14311	PROPN
ap-2015	1	4	/	/	SYM
ap-2015	1	5	ap.2013.53.0868	ap.2013.53.0868	VERB
ap-2015	1	6	acta	acta	PROPN
ap-2015	1	7	polytechnica	polytechnica	PROPN
ap-2015	1	8	53(6):868–871	53(6):868–871	PROPN
ap-2015	1	9	,	,	PUNCT
ap-2015	1	10	2013	2013	NUM
ap-2015	1	11	©	©	PROPN
ap-2015	1	12	czech	czech	PROPN
ap-2015	1	13	technical	technical	PROPN
ap-2015	1	14	university	university	PROPN
ap-2015	1	15	in	in	ADP
ap-2015	1	16	prague	prague	PROPN
ap-2015	1	17	,	,	PUNCT
ap-2015	1	18	2013	2013	NUM
ap-2015	1	19	available	available	ADJ
ap-2015	1	20	online	online	ADV
ap-2015	1	21	at	at	ADP
ap-2015	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2015	1	23	factor	factor	NOUN
ap-2015	1	24	and	and	CCONJ
ap-2015	1	25	palindromic	palindromic	ADJ
ap-2015	1	26	complexity	complexity	NOUN
ap-2015	1	27	of	of	ADP
ap-2015	1	28	thue	thue	PROPN
ap-2015	1	29	-	-	PUNCT
ap-2015	1	30	morse	morse	PROPN
ap-2015	1	31	’s	’s	PART
ap-2015	1	32	avatars	avatars	PROPN
ap-2015	1	33	christiane	christiane	PROPN
ap-2015	1	34	frougnya	frougnya	PROPN
ap-2015	1	35	,	,	PUNCT
ap-2015	1	36	karel	karel	PROPN
ap-2015	1	37	kloudab,∗	kloudab,∗	PROPN
ap-2015	1	38	a	a	DET
ap-2015	1	39	liafa	liafa	NOUN
ap-2015	1	40	,	,	PUNCT
ap-2015	1	41	cnrs	cnrs	NOUN
ap-2015	1	42	umr	umr	ADP
ap-2015	1	43	7089	7089	NUM
ap-2015	1	44	,	,	PUNCT
ap-2015	1	45	case	case	NOUN
ap-2015	1	46	7014	7014	NUM
ap-2015	1	47	,	,	PUNCT
ap-2015	1	48	75205	75205	NUM
ap-2015	1	49	paris	paris	PROPN
ap-2015	1	50	cedex	cedex	PROPN
ap-2015	1	51	13	13	NUM
ap-2015	1	52	,	,	PUNCT
ap-2015	1	53	france	france	PROPN
ap-2015	1	54	b	b	PROPN
ap-2015	1	55	faculty	faculty	NOUN
ap-2015	1	56	of	of	ADP
ap-2015	1	57	information	information	NOUN
ap-2015	1	58	technology	technology	NOUN
ap-2015	1	59	,	,	PUNCT
ap-2015	1	60	czech	czech	PROPN
ap-2015	1	61	technical	technical	PROPN
ap-2015	1	62	university	university	PROPN
ap-2015	1	63	in	in	ADP
ap-2015	1	64	prague	prague	PROPN
ap-2015	1	65	,	,	PUNCT
ap-2015	1	66	thákurova	thákurova	PROPN
ap-2015	1	67	9	9	NUM
ap-2015	1	68	,	,	PUNCT
ap-2015	1	69	praha	praha	PROPN
ap-2015	1	70	6	6	NUM
ap-2015	1	71	,	,	PUNCT
ap-2015	1	72	160	160	NUM
ap-2015	1	73	00	00	NUM
ap-2015	1	74	,	,	PUNCT
ap-2015	1	75	czech	czech	PROPN
ap-2015	1	76	republic	republic	NOUN
ap-2015	1	77	∗	∗	NOUN
ap-2015	1	78	corresponding	correspond	VERB
ap-2015	1	79	author	author	NOUN
ap-2015	1	80	:	:	PUNCT
ap-2015	1	81	karel.klouda@fit.cvut.cz	karel.klouda@fit.cvut.cz	NOUN
ap-2015	1	82	abstract	abstract	ADJ
ap-2015	1	83	.	.	PUNCT
ap-2015	2	1	two	two	NUM
ap-2015	2	2	infinite	infinite	ADJ
ap-2015	2	3	words	word	NOUN
ap-2015	2	4	that	that	PRON
ap-2015	2	5	are	be	AUX
ap-2015	2	6	connected	connect	VERB
ap-2015	2	7	with	with	ADP
ap-2015	2	8	some	some	DET
ap-2015	2	9	significant	significant	ADJ
ap-2015	2	10	univoque	univoque	ADJ
ap-2015	2	11	numbers	number	NOUN
ap-2015	2	12	are	be	AUX
ap-2015	2	13	studied	study	VERB
ap-2015	2	14	.	.	PUNCT
ap-2015	3	1	it	it	PRON
ap-2015	3	2	is	be	AUX
ap-2015	3	3	shown	show	VERB
ap-2015	3	4	that	that	SCONJ
ap-2015	3	5	their	their	PRON
ap-2015	3	6	factor	factor	NOUN
ap-2015	3	7	and	and	CCONJ
ap-2015	3	8	palindromic	palindromic	ADJ
ap-2015	3	9	complexities	complexity	NOUN
ap-2015	3	10	almost	almost	ADV
ap-2015	3	11	coincide	coincide	VERB
ap-2015	3	12	with	with	ADP
ap-2015	3	13	the	the	DET
ap-2015	3	14	factor	factor	NOUN
ap-2015	3	15	and	and	CCONJ
ap-2015	3	16	palindromic	palindromic	ADJ
ap-2015	3	17	complexities	complexity	NOUN
ap-2015	3	18	of	of	ADP
ap-2015	3	19	the	the	DET
ap-2015	3	20	famous	famous	ADJ
ap-2015	3	21	thue	thue	NOUN
ap-2015	3	22	-	-	PUNCT
ap-2015	3	23	morse	morse	NOUN
ap-2015	3	24	word	word	NOUN
ap-2015	3	25	.	.	PUNCT
ap-2015	4	1	keywords	keyword	NOUN
ap-2015	4	2	:	:	PUNCT
ap-2015	4	3	factor	factor	NOUN
ap-2015	4	4	complexity	complexity	NOUN
ap-2015	4	5	,	,	PUNCT
ap-2015	4	6	palindromic	palindromic	ADJ
ap-2015	4	7	complexity	complexity	NOUN
ap-2015	4	8	,	,	PUNCT
ap-2015	4	9	univoque	univoque	ADJ
ap-2015	4	10	numbers	number	NOUN
ap-2015	4	11	,	,	PUNCT
ap-2015	4	12	thue	thue	NOUN
ap-2015	4	13	-	-	PUNCT
ap-2015	4	14	morse	morse	NOUN
ap-2015	4	15	word	word	NOUN
ap-2015	4	16	.	.	PUNCT
ap-2015	5	1	1	1	X
ap-2015	5	2	.	.	X
ap-2015	5	3	introduction	introduction	NOUN
ap-2015	5	4	the	the	DET
ap-2015	5	5	main	main	ADJ
ap-2015	5	6	result	result	NOUN
ap-2015	5	7	of	of	ADP
ap-2015	5	8	this	this	DET
ap-2015	5	9	paper	paper	NOUN
ap-2015	5	10	is	be	AUX
ap-2015	5	11	the	the	DET
ap-2015	5	12	computation	computation	NOUN
ap-2015	5	13	of	of	ADP
ap-2015	5	14	the	the	DET
ap-2015	5	15	factor	factor	NOUN
ap-2015	5	16	and	and	CCONJ
ap-2015	5	17	palindromic	palindromic	ADJ
ap-2015	5	18	complexity	complexity	NOUN
ap-2015	5	19	of	of	ADP
ap-2015	5	20	two	two	NUM
ap-2015	5	21	infinite	infinite	ADJ
ap-2015	5	22	words	word	NOUN
ap-2015	5	23	which	which	PRON
ap-2015	5	24	appear	appear	VERB
ap-2015	5	25	in	in	ADP
ap-2015	5	26	[	[	X
ap-2015	5	27	1	1	NUM
ap-2015	5	28	]	]	PUNCT
ap-2015	5	29	as	as	ADP
ap-2015	5	30	a	a	DET
ap-2015	5	31	representation	representation	NOUN
ap-2015	5	32	of	of	ADP
ap-2015	5	33	some	some	DET
ap-2015	5	34	significant	significant	ADJ
ap-2015	5	35	univoque	univoque	ADJ
ap-2015	5	36	numbers	number	NOUN
ap-2015	5	37	.	.	PUNCT
ap-2015	6	1	a	a	DET
ap-2015	6	2	real	real	ADJ
ap-2015	6	3	number	number	NOUN
ap-2015	6	4	λ	λ	NOUN
ap-2015	6	5	>	>	X
ap-2015	6	6	1	1	NUM
ap-2015	6	7	is	be	AUX
ap-2015	6	8	said	say	VERB
ap-2015	6	9	to	to	PART
ap-2015	6	10	be	be	AUX
ap-2015	6	11	univoque	univoque	ADJ
ap-2015	6	12	if	if	SCONJ
ap-2015	6	13	1	1	NUM
ap-2015	6	14	admits	admit	VERB
ap-2015	6	15	a	a	DET
ap-2015	6	16	unique	unique	ADJ
ap-2015	6	17	expansion	expansion	NOUN
ap-2015	6	18	in	in	ADP
ap-2015	6	19	base	base	ADJ
ap-2015	6	20	λ	λ	PROPN
ap-2015	6	21	of	of	ADP
ap-2015	6	22	the	the	DET
ap-2015	6	23	form	form	NOUN
ap-2015	7	1	1	1	NUM
ap-2015	7	2	=	=	SYM
ap-2015	7	3	∑	∑	PROPN
ap-2015	7	4	i>0	i>0	PRON
ap-2015	7	5	aiλ	aiλ	NOUN
ap-2015	7	6	−i	−i	PROPN
ap-2015	7	7	with	with	ADP
ap-2015	7	8	ai	ai	PROPN
ap-2015	7	9	∈	∈	PROPN
ap-2015	7	10	{	{	PUNCT
ap-2015	7	11	0	0	NUM
ap-2015	7	12	,	,	PUNCT
ap-2015	7	13	1	1	NUM
ap-2015	7	14	,	,	PUNCT
ap-2015	7	15	.	.	PUNCT
ap-2015	7	16	.	.	PUNCT
ap-2015	7	17	.	.	PUNCT
ap-2015	8	1	,	,	PUNCT
ap-2015	8	2	dλe	dλe	VERB
ap-2015	8	3	−	−	NOUN
ap-2015	8	4	1	1	NUM
ap-2015	8	5	}	}	PUNCT
ap-2015	8	6	.	.	PUNCT
ap-2015	9	1	komornik	komornik	PROPN
ap-2015	9	2	and	and	CCONJ
ap-2015	9	3	loreti	loreti	PROPN
ap-2015	9	4	showed	show	VERB
ap-2015	9	5	in	in	ADP
ap-2015	9	6	[	[	X
ap-2015	9	7	2	2	X
ap-2015	9	8	]	]	PUNCT
ap-2015	9	9	that	that	SCONJ
ap-2015	9	10	there	there	PRON
ap-2015	9	11	is	be	VERB
ap-2015	9	12	a	a	DET
ap-2015	9	13	smallest	small	ADJ
ap-2015	9	14	univoque	univoque	ADJ
ap-2015	9	15	number	number	NOUN
ap-2015	9	16	γ	γ	NOUN
ap-2015	9	17	in	in	ADP
ap-2015	9	18	the	the	DET
ap-2015	9	19	interval	interval	NOUN
ap-2015	9	20	(	(	PUNCT
ap-2015	9	21	1	1	NUM
ap-2015	9	22	,	,	PUNCT
ap-2015	9	23	2	2	NUM
ap-2015	9	24	)	)	PUNCT
ap-2015	9	25	.	.	PUNCT
ap-2015	10	1	this	this	DET
ap-2015	10	2	number	number	NOUN
ap-2015	10	3	is	be	AUX
ap-2015	10	4	transcendental	transcendental	ADJ
ap-2015	10	5	[	[	X
ap-2015	10	6	3	3	NUM
ap-2015	10	7	]	]	PUNCT
ap-2015	10	8	and	and	CCONJ
ap-2015	10	9	is	be	AUX
ap-2015	10	10	connected	connect	VERB
ap-2015	10	11	with	with	ADP
ap-2015	10	12	the	the	DET
ap-2015	10	13	thue	thue	NOUN
ap-2015	10	14	-	-	PUNCT
ap-2015	10	15	morse	morse	ADJ
ap-2015	10	16	word	word	NOUN
ap-2015	10	17	in	in	ADP
ap-2015	10	18	this	this	DET
ap-2015	10	19	sense	sense	NOUN
ap-2015	10	20	:	:	PUNCT
ap-2015	10	21	if	if	SCONJ
ap-2015	10	22	1	1	NUM
ap-2015	10	23	=	=	SYM
ap-2015	10	24	∑	∑	PUNCT
ap-2015	10	25	i>0	i>0	ADJ
ap-2015	10	26	aiγ	aiγ	ADJ
ap-2015	10	27	−i	−i	NOUN
ap-2015	10	28	,	,	PUNCT
ap-2015	10	29	then	then	ADV
ap-2015	10	30	a1a2a3	a1a2a3	ADJ
ap-2015	10	31	·	·	PUNCT
ap-2015	10	32	·	·	PUNCT
ap-2015	10	33	·	·	PUNCT
ap-2015	11	1	=	=	SYM
ap-2015	11	2	11010011	11010011	NUM
ap-2015	11	3	·	·	PUNCT
ap-2015	11	4	·	·	PUNCT
ap-2015	11	5	·	·	PUNCT
ap-2015	12	1	=	=	SYM
ap-2015	12	2	0−1utm	0−1utm	ADJ
ap-2015	12	3	,	,	PUNCT
ap-2015	12	4	i.e.	i.e.	X
ap-2015	12	5	,	,	PUNCT
ap-2015	12	6	the	the	DET
ap-2015	12	7	thue	thue	NOUN
ap-2015	12	8	-	-	PUNCT
ap-2015	12	9	morse	morse	ADJ
ap-2015	12	10	word	word	NOUN
ap-2015	12	11	without	without	ADP
ap-2015	12	12	the	the	DET
ap-2015	12	13	leading	lead	VERB
ap-2015	12	14	zero	zero	NUM
ap-2015	12	15	.	.	PUNCT
ap-2015	13	1	there	there	PRON
ap-2015	13	2	are	be	VERB
ap-2015	13	3	two	two	NUM
ap-2015	13	4	generalizations	generalization	NOUN
ap-2015	13	5	of	of	ADP
ap-2015	13	6	this	this	DET
ap-2015	13	7	result	result	NOUN
ap-2015	13	8	.	.	PUNCT
ap-2015	14	1	the	the	DET
ap-2015	14	2	first	first	ADJ
ap-2015	14	3	one	one	NOUN
ap-2015	14	4	is	be	AUX
ap-2015	14	5	the	the	DET
ap-2015	14	6	work	work	NOUN
ap-2015	14	7	of	of	ADP
ap-2015	14	8	the	the	DET
ap-2015	14	9	same	same	ADJ
ap-2015	14	10	authors	author	NOUN
ap-2015	14	11	[	[	X
ap-2015	14	12	4	4	NUM
ap-2015	14	13	]	]	PUNCT
ap-2015	14	14	,	,	PUNCT
ap-2015	14	15	where	where	SCONJ
ap-2015	14	16	they	they	PRON
ap-2015	14	17	studied	study	VERB
ap-2015	14	18	the	the	DET
ap-2015	14	19	univoque	univoque	ADJ
ap-2015	14	20	numbers	number	NOUN
ap-2015	14	21	λ	λ	X
ap-2015	14	22	∈	∈	PROPN
ap-2015	14	23	(	(	PUNCT
ap-2015	14	24	1	1	NUM
ap-2015	14	25	,	,	PUNCT
ap-2015	14	26	b+	b+	X
ap-2015	14	27	1	1	NUM
ap-2015	14	28	)	)	PUNCT
ap-2015	14	29	,	,	PUNCT
ap-2015	14	30	b	b	X
ap-2015	14	31	∈	∈	PROPN
ap-2015	14	32	n.	n.	NOUN
ap-2015	14	33	the	the	DET
ap-2015	14	34	second	second	ADJ
ap-2015	14	35	one	one	NOUN
ap-2015	14	36	is	be	AUX
ap-2015	14	37	the	the	DET
ap-2015	14	38	work	work	NOUN
ap-2015	14	39	of	of	ADP
ap-2015	14	40	allouche	allouche	NOUN
ap-2015	14	41	and	and	CCONJ
ap-2015	14	42	frougny	frougny	NOUN
ap-2015	14	43	[	[	X
ap-2015	14	44	1	1	NUM
ap-2015	14	45	]	]	PUNCT
ap-2015	14	46	.	.	PUNCT
ap-2015	15	1	they	they	PRON
ap-2015	15	2	proved	prove	VERB
ap-2015	15	3	that	that	SCONJ
ap-2015	15	4	there	there	PRON
ap-2015	15	5	exists	exist	VERB
ap-2015	15	6	a	a	DET
ap-2015	15	7	smallest	small	ADJ
ap-2015	15	8	univoque	univoque	ADJ
ap-2015	15	9	number	number	NOUN
ap-2015	15	10	in	in	ADP
ap-2015	15	11	(	(	PUNCT
ap-2015	15	12	b	b	NOUN
ap-2015	15	13	,	,	PUNCT
ap-2015	15	14	b+	b+	X
ap-2015	15	15	1	1	NUM
ap-2015	15	16	)	)	PUNCT
ap-2015	15	17	(	(	PUNCT
ap-2015	15	18	this	this	PRON
ap-2015	15	19	is	be	AUX
ap-2015	15	20	proved	prove	VERB
ap-2015	15	21	also	also	ADV
ap-2015	15	22	in	in	ADP
ap-2015	15	23	[	[	X
ap-2015	15	24	5	5	NUM
ap-2015	15	25	]	]	PUNCT
ap-2015	15	26	)	)	PUNCT
ap-2015	15	27	and	and	CCONJ
ap-2015	15	28	they	they	PRON
ap-2015	15	29	also	also	ADV
ap-2015	15	30	found	find	VERB
ap-2015	15	31	the	the	DET
ap-2015	15	32	corresponding	corresponding	ADJ
ap-2015	15	33	unique	unique	ADJ
ap-2015	15	34	expansion	expansion	NOUN
ap-2015	15	35	of	of	ADP
ap-2015	15	36	1	1	NUM
ap-2015	15	37	.	.	PUNCT
ap-2015	16	1	these	these	DET
ap-2015	16	2	expansions	expansion	NOUN
ap-2015	16	3	and	and	CCONJ
ap-2015	16	4	some	some	DET
ap-2015	16	5	other	other	ADJ
ap-2015	16	6	significant	significant	ADJ
ap-2015	16	7	words	word	NOUN
ap-2015	16	8	from	from	ADP
ap-2015	16	9	[	[	X
ap-2015	16	10	1	1	NUM
ap-2015	16	11	]	]	PUNCT
ap-2015	16	12	are	be	AUX
ap-2015	16	13	studied	study	VERB
ap-2015	16	14	in	in	ADP
ap-2015	16	15	the	the	DET
ap-2015	16	16	sequel	sequel	NOUN
ap-2015	16	17	.	.	PUNCT
ap-2015	17	1	as	as	SCONJ
ap-2015	17	2	explained	explain	VERB
ap-2015	17	3	in	in	ADP
ap-2015	17	4	the	the	DET
ap-2015	17	5	concluding	concluding	NOUN
ap-2015	17	6	remark	remark	NOUN
ap-2015	17	7	,	,	PUNCT
ap-2015	17	8	at	at	ADP
ap-2015	17	9	least	least	ADJ
ap-2015	17	10	the	the	DET
ap-2015	17	11	factor	factor	NOUN
ap-2015	17	12	complexity	complexity	NOUN
ap-2015	17	13	could	could	AUX
ap-2015	17	14	be	be	AUX
ap-2015	17	15	computed	compute	VERB
ap-2015	17	16	using	use	VERB
ap-2015	17	17	the	the	DET
ap-2015	17	18	common	common	ADJ
ap-2015	17	19	method	method	NOUN
ap-2015	17	20	employing	employ	VERB
ap-2015	17	21	special	special	ADJ
ap-2015	17	22	factors	factor	NOUN
ap-2015	17	23	(	(	PUNCT
ap-2015	17	24	see	see	VERB
ap-2015	18	1	e.g.	e.g.	ADV
ap-2015	18	2	[	[	X
ap-2015	18	3	6	6	NUM
ap-2015	18	4	]	]	PUNCT
ap-2015	18	5	for	for	ADP
ap-2015	18	6	details	detail	NOUN
ap-2015	18	7	)	)	PUNCT
ap-2015	18	8	.	.	PUNCT
ap-2015	19	1	however	however	ADV
ap-2015	19	2	,	,	PUNCT
ap-2015	19	3	here	here	ADV
ap-2015	19	4	we	we	PRON
ap-2015	19	5	derive	derive	VERB
ap-2015	19	6	both	both	DET
ap-2015	19	7	complexities	complexity	NOUN
ap-2015	19	8	directly	directly	ADV
ap-2015	19	9	from	from	ADP
ap-2015	19	10	the	the	DET
ap-2015	19	11	definition	definition	NOUN
ap-2015	19	12	of	of	ADP
ap-2015	19	13	words	word	NOUN
ap-2015	19	14	which	which	PRON
ap-2015	19	15	really	really	ADV
ap-2015	19	16	enlighten	enlighten	VERB
ap-2015	19	17	the	the	DET
ap-2015	19	18	connection	connection	NOUN
ap-2015	19	19	between	between	ADP
ap-2015	19	20	the	the	DET
ap-2015	19	21	studied	study	VERB
ap-2015	19	22	words	word	NOUN
ap-2015	19	23	and	and	CCONJ
ap-2015	19	24	the	the	DET
ap-2015	19	25	thue	thue	NOUN
ap-2015	19	26	-	-	PUNCT
ap-2015	19	27	morse	morse	NOUN
ap-2015	19	28	word	word	NOUN
ap-2015	19	29	.	.	PUNCT
ap-2015	20	1	2	2	X
ap-2015	20	2	.	.	NUM
ap-2015	20	3	preliminaries	preliminary	NOUN
ap-2015	20	4	an	an	DET
ap-2015	20	5	alphabet	alphabet	NOUN
ap-2015	20	6	a	a	PRON
ap-2015	20	7	is	be	AUX
ap-2015	20	8	a	a	DET
ap-2015	20	9	finite	finite	ADJ
ap-2015	20	10	set	set	NOUN
ap-2015	20	11	of	of	ADP
ap-2015	20	12	letters	letter	NOUN
ap-2015	20	13	.	.	PUNCT
ap-2015	21	1	a	a	DET
ap-2015	21	2	concatenation	concatenation	NOUN
ap-2015	21	3	of	of	ADP
ap-2015	21	4	n	n	PROPN
ap-2015	21	5	letters	letter	NOUN
ap-2015	21	6	v	v	NOUN
ap-2015	21	7	=	=	SYM
ap-2015	21	8	v0v1	v0v1	X
ap-2015	21	9	·	·	PUNCT
ap-2015	21	10	·	·	PUNCT
ap-2015	21	11	·	·	PUNCT
ap-2015	22	1	vn−1	vn−1	ADV
ap-2015	22	2	from	from	ADP
ap-2015	22	3	a	a	PRON
ap-2015	22	4	is	be	AUX
ap-2015	22	5	a	a	DET
ap-2015	22	6	(	(	PUNCT
ap-2015	22	7	finite	finite	ADJ
ap-2015	22	8	)	)	PUNCT
ap-2015	22	9	word	word	NOUN
ap-2015	22	10	over	over	ADP
ap-2015	22	11	a	a	PRON
ap-2015	22	12	of	of	ADP
ap-2015	22	13	length	length	NOUN
ap-2015	22	14	n.	n.	PROPN
ap-2015	22	15	an	an	DET
ap-2015	22	16	infinite	infinite	ADJ
ap-2015	22	17	sequence	sequence	NOUN
ap-2015	22	18	u	u	NOUN
ap-2015	22	19	=	=	PROPN
ap-2015	22	20	u0u1u3	u0u1u3	NOUN
ap-2015	22	21	·	·	PUNCT
ap-2015	22	22	·	·	PUNCT
ap-2015	22	23	·	·	PUNCT
ap-2015	22	24	is	be	AUX
ap-2015	22	25	an	an	DET
ap-2015	22	26	infinite	infinite	ADJ
ap-2015	22	27	word	word	NOUN
ap-2015	22	28	over	over	ADP
ap-2015	22	29	a.	a.	NOUN
ap-2015	22	30	any	any	DET
ap-2015	22	31	finite	finite	ADJ
ap-2015	22	32	word	word	NOUN
ap-2015	22	33	v	v	ADP
ap-2015	22	34	such	such	ADJ
ap-2015	22	35	that	that	DET
ap-2015	22	36	v	v	NOUN
ap-2015	22	37	=	=	SYM
ap-2015	22	38	ukuk+1	ukuk+1	ADJ
ap-2015	22	39	·	·	PUNCT
ap-2015	22	40	·	·	PUNCT
ap-2015	22	41	·	·	PUNCT
ap-2015	22	42	uk+n−1	uk+n−1	ADJ
ap-2015	22	43	for	for	ADP
ap-2015	22	44	some	some	DET
ap-2015	22	45	k	k	PROPN
ap-2015	22	46	∈	∈	PROPN
ap-2015	22	47	n	n	PRON
ap-2015	22	48	is	be	AUX
ap-2015	22	49	called	call	VERB
ap-2015	22	50	a	a	DET
ap-2015	22	51	factor	factor	NOUN
ap-2015	22	52	of	of	ADP
ap-2015	22	53	u	u	NOUN
ap-2015	22	54	and	and	CCONJ
ap-2015	22	55	ukuk+1	ukuk+1	ADJ
ap-2015	22	56	·	·	PUNCT
ap-2015	22	57	·	·	PUNCT
ap-2015	22	58	·	·	PUNCT
ap-2015	22	59	uk+n−1	uk+n−1	PROPN
ap-2015	22	60	is	be	AUX
ap-2015	22	61	its	its	PRON
ap-2015	22	62	occurrence	occurrence	NOUN
ap-2015	22	63	in	in	ADP
ap-2015	22	64	it	it	PRON
ap-2015	22	65	.	.	PUNCT
ap-2015	23	1	the	the	DET
ap-2015	23	2	set	set	NOUN
ap-2015	23	3	of	of	ADP
ap-2015	23	4	all	all	DET
ap-2015	23	5	factors	factor	NOUN
ap-2015	23	6	of	of	ADP
ap-2015	23	7	u	u	NOUN
ap-2015	23	8	is	be	AUX
ap-2015	23	9	denoted	denote	VERB
ap-2015	23	10	by	by	ADP
ap-2015	23	11	l(u	l(u	PROPN
ap-2015	23	12	)	)	PUNCT
ap-2015	23	13	,	,	PUNCT
ap-2015	23	14	the	the	DET
ap-2015	23	15	set	set	NOUN
ap-2015	23	16	ln(u	ln(u	NOUN
ap-2015	23	17	)	)	PUNCT
ap-2015	23	18	is	be	AUX
ap-2015	23	19	the	the	DET
ap-2015	23	20	set	set	NOUN
ap-2015	23	21	of	of	ADP
ap-2015	23	22	all	all	DET
ap-2015	23	23	factors	factor	NOUN
ap-2015	23	24	of	of	ADP
ap-2015	23	25	length	length	NOUN
ap-2015	23	26	n.	n.	PROPN
ap-2015	23	27	the	the	DET
ap-2015	23	28	factor	factor	NOUN
ap-2015	23	29	complexity	complexity	NOUN
ap-2015	23	30	of	of	ADP
ap-2015	23	31	an	an	DET
ap-2015	23	32	infinite	infinite	ADJ
ap-2015	23	33	word	word	NOUN
ap-2015	23	34	u	u	NOUN
ap-2015	23	35	is	be	AUX
ap-2015	23	36	the	the	DET
ap-2015	23	37	function	function	NOUN
ap-2015	23	38	cu(n	cu(n	NOUN
ap-2015	23	39	)	)	PUNCT
ap-2015	23	40	that	that	PRON
ap-2015	23	41	returns	return	VERB
ap-2015	23	42	for	for	ADP
ap-2015	23	43	all	all	PRON
ap-2015	23	44	n	n	PRON
ap-2015	23	45	∈	∈	PRON
ap-2015	23	46	n	n	CCONJ
ap-2015	23	47	the	the	DET
ap-2015	23	48	number	number	NOUN
ap-2015	23	49	of	of	ADP
ap-2015	23	50	factors	factor	NOUN
ap-2015	23	51	of	of	ADP
ap-2015	23	52	u	u	NOUN
ap-2015	23	53	of	of	ADP
ap-2015	23	54	length	length	NOUN
ap-2015	23	55	n.	n.	NOUN
ap-2015	23	56	given	give	VERB
ap-2015	23	57	a	a	DET
ap-2015	23	58	word	word	NOUN
ap-2015	23	59	v	v	NOUN
ap-2015	23	60	=	=	SYM
ap-2015	23	61	v0v1	v0v1	X
ap-2015	23	62	·	·	PUNCT
ap-2015	23	63	·	·	PUNCT
ap-2015	24	1	·	·	PUNCT
ap-2015	25	1	vn−1	vn−1	ADV
ap-2015	25	2	,	,	PUNCT
ap-2015	25	3	the	the	DET
ap-2015	25	4	word	word	NOUN
ap-2015	25	5	ṽ	ṽ	PROPN
ap-2015	25	6	is	be	AUX
ap-2015	25	7	defined	define	VERB
ap-2015	25	8	as	as	ADP
ap-2015	25	9	vn−1vn−2	vn−1vn−2	PROPN
ap-2015	25	10	·	·	PUNCT
ap-2015	25	11	·	·	PUNCT
ap-2015	25	12	·	·	PUNCT
ap-2015	26	1	v1v0	v1v0	X
ap-2015	26	2	.	.	PUNCT
ap-2015	27	1	if	if	SCONJ
ap-2015	27	2	v	v	NUM
ap-2015	27	3	=	=	SYM
ap-2015	27	4	ṽ	ṽ	PROPN
ap-2015	27	5	,	,	PUNCT
ap-2015	27	6	v	v	NOUN
ap-2015	27	7	is	be	AUX
ap-2015	27	8	called	call	VERB
ap-2015	27	9	a	a	DET
ap-2015	27	10	palindrome	palindrome	NOUN
ap-2015	27	11	.	.	PUNCT
ap-2015	28	1	the	the	DET
ap-2015	28	2	palindromic	palindromic	ADJ
ap-2015	28	3	complexity	complexity	NOUN
ap-2015	28	4	of	of	ADP
ap-2015	28	5	an	an	DET
ap-2015	28	6	infinite	infinite	ADJ
ap-2015	28	7	word	word	NOUN
ap-2015	28	8	u	u	NOUN
ap-2015	28	9	is	be	AUX
ap-2015	28	10	the	the	DET
ap-2015	28	11	function	function	NOUN
ap-2015	28	12	pu(n	pu(n	NOUN
ap-2015	28	13	)	)	PUNCT
ap-2015	28	14	that	that	PRON
ap-2015	28	15	returns	return	VERB
ap-2015	28	16	for	for	ADP
ap-2015	28	17	all	all	PRON
ap-2015	28	18	n	n	PRON
ap-2015	28	19	∈	∈	PRON
ap-2015	28	20	n	n	CCONJ
ap-2015	28	21	the	the	DET
ap-2015	28	22	number	number	NOUN
ap-2015	28	23	of	of	ADP
ap-2015	28	24	factors	factor	NOUN
ap-2015	28	25	of	of	ADP
ap-2015	28	26	u	u	NOUN
ap-2015	28	27	of	of	ADP
ap-2015	28	28	length	length	NOUN
ap-2015	28	29	n	n	PROPN
ap-2015	28	30	that	that	PRON
ap-2015	28	31	are	be	AUX
ap-2015	28	32	palindromes	palindrome	NOUN
ap-2015	28	33	.	.	PUNCT
ap-2015	29	1	all	all	DET
ap-2015	29	2	infinite	infinite	ADJ
ap-2015	29	3	words	word	NOUN
ap-2015	29	4	in	in	ADP
ap-2015	29	5	question	question	NOUN
ap-2015	29	6	are	be	AUX
ap-2015	29	7	derived	derive	VERB
ap-2015	29	8	from	from	ADP
ap-2015	29	9	the	the	DET
ap-2015	29	10	famous	famous	ADJ
ap-2015	29	11	thue	thue	NOUN
ap-2015	29	12	-	-	PUNCT
ap-2015	29	13	morse	morse	NOUN
ap-2015	29	14	word	word	NOUN
ap-2015	29	15	utm	utm	PROPN
ap-2015	29	16	.	.	PUNCT
ap-2015	30	1	the	the	DET
ap-2015	30	2	thue	thue	NOUN
ap-2015	30	3	-	-	PUNCT
ap-2015	30	4	morse	morse	NOUN
ap-2015	30	5	word	word	NOUN
ap-2015	30	6	is	be	AUX
ap-2015	30	7	the	the	DET
ap-2015	30	8	fixed	fixed	ADJ
ap-2015	30	9	point	point	NOUN
ap-2015	30	10	of	of	ADP
ap-2015	30	11	the	the	DET
ap-2015	30	12	thue	thue	NOUN
ap-2015	30	13	-	-	PUNCT
ap-2015	30	14	morse	morse	NOUN
ap-2015	30	15	morphism	morphism	NOUN
ap-2015	30	16	ϕtm(0	ϕtm(0	NOUN
ap-2015	30	17	)	)	PUNCT
ap-2015	31	1	=	=	SYM
ap-2015	31	2	01	01	NUM
ap-2015	31	3	ϕtm(1	ϕtm(1	NOUN
ap-2015	31	4	)	)	PUNCT
ap-2015	32	1	=	=	SYM
ap-2015	32	2	10	10	NUM
ap-2015	32	3	starting	start	VERB
ap-2015	32	4	in	in	ADP
ap-2015	32	5	the	the	DET
ap-2015	32	6	letter	letter	NOUN
ap-2015	32	7	0	0	NUM
ap-2015	32	8	,	,	PUNCT
ap-2015	32	9	i.e.	i.e.	X
ap-2015	32	10	,	,	PUNCT
ap-2015	32	11	utm	utm	PROPN
ap-2015	32	12	=	=	PROPN
ap-2015	32	13	lim	lim	PROPN
ap-2015	32	14	n→∞	n→∞	X
ap-2015	32	15	ϕn	ϕn	NOUN
ap-2015	32	16	tm(0	tm(0	NOUN
ap-2015	32	17	)	)	PUNCT
ap-2015	32	18	=	=	SYM
ap-2015	32	19	0110100110	0110100110	NUM
ap-2015	32	20	·	·	PUNCT
ap-2015	32	21	·	·	PUNCT
ap-2015	32	22	·	·	PUNCT
ap-2015	33	1	=	=	SYM
ap-2015	33	2	ε0ε1ε2ε3	ε0ε1ε2ε3	PROPN
ap-2015	33	3	·	·	PUNCT
ap-2015	33	4	·	·	PUNCT
ap-2015	33	5	·	·	PUNCT
ap-2015	33	6	.	.	PUNCT
ap-2015	34	1	we	we	PRON
ap-2015	34	2	are	be	AUX
ap-2015	34	3	interested	interested	ADJ
ap-2015	34	4	in	in	ADP
ap-2015	34	5	the	the	DET
ap-2015	34	6	factor	factor	NOUN
ap-2015	34	7	and	and	CCONJ
ap-2015	34	8	palindromic	palindromic	ADJ
ap-2015	34	9	complexity	complexity	NOUN
ap-2015	34	10	of	of	ADP
ap-2015	34	11	infinite	infinite	ADJ
ap-2015	34	12	words	word	NOUN
ap-2015	34	13	w	w	NOUN
ap-2015	34	14	=	=	SYM
ap-2015	34	15	m0m1m2	m0m1m2	PROPN
ap-2015	34	16	·	·	PUNCT
ap-2015	34	17	·	·	PUNCT
ap-2015	34	18	·	·	PUNCT
ap-2015	35	1	given	give	VERB
ap-2015	35	2	by	by	ADP
ap-2015	35	3	mn	mn	PROPN
ap-2015	35	4	=	=	SYM
ap-2015	35	5	εn+1	εn+1	PROPN
ap-2015	35	6	−	−	PROPN
ap-2015	36	1	(	(	PUNCT
ap-2015	36	2	2t−	2t−	NUM
ap-2015	36	3	b−	b−	PROPN
ap-2015	36	4	1)εn	1)εn	PROPN
ap-2015	37	1	+	+	CCONJ
ap-2015	37	2	t−	t−	PROPN
ap-2015	37	3	1	1	NUM
ap-2015	37	4	,	,	PUNCT
ap-2015	37	5	(	(	PUNCT
ap-2015	37	6	1	1	X
ap-2015	37	7	)	)	PUNCT
ap-2015	37	8	where	where	SCONJ
ap-2015	37	9	2	2	NUM
ap-2015	37	10	t	t	NOUN
ap-2015	37	11	>	>	X
ap-2015	37	12	b	b	PROPN
ap-2015	37	13	≥	≥	NUM
ap-2015	37	14	1	1	NUM
ap-2015	37	15	.	.	PUNCT
ap-2015	38	1	in	in	ADP
ap-2015	38	2	particular	particular	ADJ
ap-2015	38	3	,	,	PUNCT
ap-2015	38	4	we	we	PRON
ap-2015	38	5	want	want	VERB
ap-2015	38	6	to	to	PART
ap-2015	38	7	determine	determine	VERB
ap-2015	38	8	both	both	DET
ap-2015	38	9	complexities	complexity	NOUN
ap-2015	38	10	for	for	ADP
ap-2015	38	11	all	all	DET
ap-2015	38	12	the	the	DET
ap-2015	38	13	three	three	NUM
ap-2015	38	14	cases	case	NOUN
ap-2015	38	15	stated	state	VERB
ap-2015	38	16	in	in	ADP
ap-2015	38	17	[	[	X
ap-2015	38	18	1	1	NUM
ap-2015	38	19	,	,	PUNCT
ap-2015	38	20	theorem	theorem	VERB
ap-2015	38	21	2	2	NUM
ap-2015	38	22	]	]	PUNCT
ap-2015	38	23	,	,	PUNCT
ap-2015	38	24	i.e.	i.e.	X
ap-2015	38	25	,	,	PUNCT
ap-2015	38	26	for	for	ADP
ap-2015	38	27	2	2	NUM
ap-2015	38	28	t	t	NOUN
ap-2015	38	29	≥	≥	NOUN
ap-2015	38	30	b+3	b+3	PROPN
ap-2015	38	31	,	,	PUNCT
ap-2015	38	32	2	2	NUM
ap-2015	38	33	t	t	NOUN
ap-2015	38	34	=	=	SYM
ap-2015	38	35	b+2	b+2	NUM
ap-2015	38	36	and	and	CCONJ
ap-2015	38	37	2	2	NUM
ap-2015	38	38	t	t	NOUN
ap-2015	39	1	=	=	SYM
ap-2015	39	2	b+1	b+1	NOUN
ap-2015	39	3	.	.	PUNCT
ap-2015	40	1	if	if	SCONJ
ap-2015	40	2	2	2	NUM
ap-2015	40	3	t	t	NOUN
ap-2015	40	4	=	=	PUNCT
ap-2015	40	5	b+	b+	X
ap-2015	40	6	1	1	NUM
ap-2015	40	7	,	,	PUNCT
ap-2015	40	8	then	then	ADV
ap-2015	40	9	mn	mn	PROPN
ap-2015	40	10	=	=	SYM
ap-2015	40	11	εn+1	εn+1	PROPN
ap-2015	40	12	+	+	CCONJ
ap-2015	40	13	t−	t−	PROPN
ap-2015	40	14	1	1	NUM
ap-2015	40	15	and	and	CCONJ
ap-2015	40	16	so	so	ADV
ap-2015	41	1	w	w	NOUN
ap-2015	41	2	equals	equal	VERB
ap-2015	41	3	the	the	DET
ap-2015	41	4	word	word	NOUN
ap-2015	41	5	0−1utm	0−1utm	PUNCT
ap-2015	41	6	(	(	PUNCT
ap-2015	41	7	after	after	ADP
ap-2015	41	8	renaming	rename	VERB
ap-2015	41	9	the	the	DET
ap-2015	41	10	letters	letter	NOUN
ap-2015	41	11	0→	0→	PROPN
ap-2015	41	12	t−1	t−1	PROPN
ap-2015	41	13	and	and	CCONJ
ap-2015	41	14	1→	1→	NUM
ap-2015	41	15	t	t	NOUN
ap-2015	41	16	)	)	PUNCT
ap-2015	41	17	having	have	VERB
ap-2015	41	18	the	the	DET
ap-2015	41	19	same	same	ADJ
ap-2015	41	20	factor	factor	NOUN
ap-2015	41	21	and	and	CCONJ
ap-2015	41	22	palindromic	palindromic	ADJ
ap-2015	41	23	complexity	complexity	NOUN
ap-2015	41	24	.	.	PUNCT
ap-2015	42	1	analogously	analogously	ADV
ap-2015	42	2	,	,	PUNCT
ap-2015	42	3	in	in	ADP
ap-2015	42	4	the	the	DET
ap-2015	42	5	other	other	ADJ
ap-2015	42	6	two	two	NUM
ap-2015	42	7	cases	case	NOUN
ap-2015	42	8	2	2	NUM
ap-2015	42	9	t	t	NOUN
ap-2015	42	10	≥	≥	NOUN
ap-2015	42	11	b+3	b+3	PROPN
ap-2015	42	12	and	and	CCONJ
ap-2015	42	13	2	2	NUM
ap-2015	42	14	t	t	NOUN
ap-2015	42	15	=	=	SYM
ap-2015	42	16	b+2	b+2	PROPN
ap-2015	42	17	,	,	PUNCT
ap-2015	42	18	it	it	PRON
ap-2015	42	19	is	be	AUX
ap-2015	42	20	sufficient	sufficient	ADJ
ap-2015	42	21	to	to	PART
ap-2015	42	22	consider	consider	VERB
ap-2015	42	23	only	only	ADV
ap-2015	42	24	one	one	NUM
ap-2015	42	25	choice	choice	NOUN
ap-2015	42	26	of	of	ADP
ap-2015	42	27	parameters	parameter	NOUN
ap-2015	42	28	t	t	PROPN
ap-2015	42	29	and	and	CCONJ
ap-2015	42	30	b	b	X
ap-2015	42	31	satisfying	satisfy	VERB
ap-2015	42	32	the	the	DET
ap-2015	42	33	inequality	inequality	NOUN
ap-2015	42	34	and	and	CCONJ
ap-2015	42	35	the	the	DET
ap-2015	42	36	equality	equality	NOUN
ap-2015	42	37	,	,	PUNCT
ap-2015	42	38	respectively	respectively	ADV
ap-2015	42	39	.	.	PUNCT
ap-2015	43	1	that	that	PRON
ap-2015	43	2	is	be	AUX
ap-2015	43	3	because	because	SCONJ
ap-2015	43	4	the	the	DET
ap-2015	43	5	former	former	ADJ
ap-2015	43	6	formula	formula	NOUN
ap-2015	43	7	implies	imply	VERB
ap-2015	43	8	that	that	SCONJ
ap-2015	43	9	the	the	DET
ap-2015	43	10	word	word	NOUN
ap-2015	43	11	w	w	ADP
ap-2015	43	12	consists	consist	NOUN
ap-2015	43	13	of	of	ADP
ap-2015	43	14	four	four	NUM
ap-2015	43	15	distinct	distinct	ADJ
ap-2015	43	16	letters	letter	NOUN
ap-2015	43	17	b−t	b−t	ADV
ap-2015	43	18	<	<	X
ap-2015	43	19	b−t+1	b−t+1	X
ap-2015	43	20	<	<	X
ap-2015	43	21	t−1	t−1	PROPN
ap-2015	43	22	<	<	X
ap-2015	43	23	t	t	PROPN
ap-2015	43	24	and	and	CCONJ
ap-2015	43	25	the	the	DET
ap-2015	43	26	latter	latter	ADJ
ap-2015	43	27	one	one	NUM
ap-2015	43	28	that	that	PRON
ap-2015	43	29	the	the	DET
ap-2015	43	30	word	word	NOUN
ap-2015	43	31	w	w	ADP
ap-2015	43	32	consists	consist	NOUN
ap-2015	43	33	of	of	ADP
ap-2015	43	34	three	three	NUM
ap-2015	43	35	distinct	distinct	ADJ
ap-2015	43	36	letters	letter	NOUN
ap-2015	43	37	b−	b−	PROPN
ap-2015	43	38	t	t	PROPN
ap-2015	43	39	<	<	X
ap-2015	43	40	t−	t−	PROPN
ap-2015	43	41	1	1	NUM
ap-2015	43	42	<	<	X
ap-2015	43	43	t.	t.	NOUN
ap-2015	43	44	if	if	SCONJ
ap-2015	43	45	we	we	PRON
ap-2015	43	46	choose	choose	VERB
ap-2015	43	47	t	t	NOUN
ap-2015	43	48	=	=	SYM
ap-2015	43	49	b	b	PROPN
ap-2015	43	50	=	=	SYM
ap-2015	43	51	3	3	NUM
ap-2015	43	52	and	and	CCONJ
ap-2015	43	53	868	868	NUM
ap-2015	43	54	http://dx.doi.org/10.14311/ap.2013.53.0868	http://dx.doi.org/10.14311/ap.2013.53.0868	ADJ
ap-2015	43	55	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2015	43	56	vol	vol	NOUN
ap-2015	43	57	.	.	PUNCT
ap-2015	44	1	53	53	NUM
ap-2015	44	2	no	no	NOUN
ap-2015	44	3	.	.	PUNCT
ap-2015	45	1	6/2013	6/2013	NUM
ap-2015	45	2	factor	factor	NOUN
ap-2015	45	3	and	and	CCONJ
ap-2015	45	4	palindromic	palindromic	ADJ
ap-2015	45	5	complexity	complexity	NOUN
ap-2015	45	6	of	of	ADP
ap-2015	45	7	thue	thue	PROPN
ap-2015	45	8	-	-	PUNCT
ap-2015	45	9	morse	morse	PROPN
ap-2015	45	10	’s	’s	PART
ap-2015	45	11	avatars	avatar	NOUN
ap-2015	45	12	t	t	PROPN
ap-2015	45	13	=	=	SYM
ap-2015	45	14	b	b	PROPN
ap-2015	45	15	=	=	SYM
ap-2015	45	16	2	2	NUM
ap-2015	45	17	respectively	respectively	ADV
ap-2015	45	18	,	,	PUNCT
ap-2015	45	19	all	all	DET
ap-2015	45	20	the	the	DET
ap-2015	45	21	other	other	ADJ
ap-2015	45	22	words	word	NOUN
ap-2015	45	23	given	give	VERB
ap-2015	45	24	by	by	ADP
ap-2015	45	25	(	(	PUNCT
ap-2015	45	26	1	1	NUM
ap-2015	45	27	)	)	PUNCT
ap-2015	45	28	are	be	AUX
ap-2015	45	29	(	(	PUNCT
ap-2015	45	30	after	after	ADP
ap-2015	45	31	renaming	rename	VERB
ap-2015	45	32	the	the	DET
ap-2015	45	33	letters	letter	NOUN
ap-2015	45	34	)	)	PUNCT
ap-2015	45	35	equal	equal	ADJ
ap-2015	45	36	to	to	ADP
ap-2015	45	37	the	the	DET
ap-2015	45	38	words	word	NOUN
ap-2015	45	39	corresponding	correspond	VERB
ap-2015	45	40	to	to	ADP
ap-2015	45	41	these	these	DET
ap-2015	45	42	two	two	NUM
ap-2015	45	43	choices	choice	NOUN
ap-2015	45	44	of	of	ADP
ap-2015	45	45	parameters	parameter	NOUN
ap-2015	45	46	b	b	PROPN
ap-2015	45	47	and	and	CCONJ
ap-2015	45	48	t.	t.	PROPN
ap-2015	45	49	thus	thus	ADV
ap-2015	45	50	,	,	PUNCT
ap-2015	45	51	we	we	PRON
ap-2015	45	52	can	can	AUX
ap-2015	45	53	simplify	simplify	VERB
ap-2015	45	54	the	the	DET
ap-2015	45	55	definition	definition	NOUN
ap-2015	45	56	of	of	ADP
ap-2015	45	57	the	the	DET
ap-2015	45	58	infinite	infinite	ADJ
ap-2015	45	59	words	word	NOUN
ap-2015	45	60	we	we	PRON
ap-2015	45	61	study	study	VERB
ap-2015	45	62	as	as	SCONJ
ap-2015	45	63	follows	follow	VERB
ap-2015	45	64	.	.	PUNCT
ap-2015	46	1	definition	definition	NOUN
ap-2015	46	2	1	1	NUM
ap-2015	46	3	.	.	PUNCT
ap-2015	47	1	for	for	ADP
ap-2015	47	2	a	a	DET
ap-2015	47	3	=	=	SYM
ap-2015	47	4	1	1	NUM
ap-2015	47	5	,	,	PUNCT
ap-2015	47	6	2	2	NUM
ap-2015	47	7	,	,	PUNCT
ap-2015	47	8	the	the	DET
ap-2015	47	9	infinite	infinite	ADJ
ap-2015	47	10	word	word	NOUN
ap-2015	47	11	wa	wa	NOUN
ap-2015	47	12	=	=	PROPN
ap-2015	47	13	m0m1m2	m0m1m2	PROPN
ap-2015	47	14	·	·	PUNCT
ap-2015	47	15	·	·	PUNCT
ap-2015	47	16	·	·	PUNCT
ap-2015	47	17	is	be	AUX
ap-2015	47	18	defined	define	VERB
ap-2015	47	19	by	by	ADP
ap-2015	47	20	mn	mn	PROPN
ap-2015	47	21	=	=	SYM
ap-2015	47	22	εn+1	εn+1	PROPN
ap-2015	47	23	−	−	PROPN
ap-2015	47	24	aεn	aεn	NOUN
ap-2015	47	25	+	+	CCONJ
ap-2015	47	26	a	a	DET
ap-2015	47	27	=	=	SYM
ap-2015	47	28	εn+1	εn+1	ADJ
ap-2015	47	29	+	+	NUM
ap-2015	47	30	a(1−	a(1−	NOUN
ap-2015	47	31	εn	εn	ADJ
ap-2015	47	32	)	)	PUNCT
ap-2015	47	33	.	.	PUNCT
ap-2015	48	1	(	(	PUNCT
ap-2015	48	2	2	2	X
ap-2015	48	3	)	)	PUNCT
ap-2015	48	4	hence	hence	ADV
ap-2015	48	5	,	,	PUNCT
ap-2015	48	6	we	we	PRON
ap-2015	48	7	get	get	VERB
ap-2015	48	8	w1	w1	NOUN
ap-2015	48	9	=	=	SYM
ap-2015	48	10	210201210120	210201210120	NUM
ap-2015	48	11	·	·	PUNCT
ap-2015	48	12	·	·	PUNCT
ap-2015	48	13	·	·	PUNCT
ap-2015	48	14	w2	w2	NOUN
ap-2015	48	15	=	=	SYM
ap-2015	48	16	310302310230	310302310230	NUM
ap-2015	48	17	·	·	PUNCT
ap-2015	48	18	·	·	PUNCT
ap-2015	48	19	·	·	PUNCT
ap-2015	48	20	as	as	SCONJ
ap-2015	48	21	we	we	PRON
ap-2015	48	22	will	will	AUX
ap-2015	48	23	see	see	VERB
ap-2015	48	24	,	,	PUNCT
ap-2015	48	25	the	the	DET
ap-2015	48	26	factor	factor	NOUN
ap-2015	48	27	and	and	CCONJ
ap-2015	48	28	palindromic	palindromic	ADJ
ap-2015	48	29	complexity	complexity	NOUN
ap-2015	48	30	of	of	ADP
ap-2015	48	31	the	the	DET
ap-2015	48	32	word	word	NOUN
ap-2015	48	33	wa	wa	ADJ
ap-2015	48	34	will	will	AUX
ap-2015	48	35	be	be	AUX
ap-2015	48	36	expressed	express	VERB
ap-2015	48	37	using	use	VERB
ap-2015	48	38	the	the	DET
ap-2015	48	39	factor	factor	NOUN
ap-2015	48	40	and	and	CCONJ
ap-2015	48	41	palindromic	palindromic	ADJ
ap-2015	48	42	complexity	complexity	NOUN
ap-2015	48	43	of	of	ADP
ap-2015	48	44	the	the	DET
ap-2015	48	45	thue	thue	NOUN
ap-2015	48	46	-	-	PUNCT
ap-2015	48	47	morse	morse	NOUN
ap-2015	48	48	word	word	NOUN
ap-2015	48	49	utm	utm	PROPN
ap-2015	48	50	.	.	PUNCT
ap-2015	49	1	therefore	therefore	ADV
ap-2015	49	2	we	we	PRON
ap-2015	49	3	recall	recall	VERB
ap-2015	49	4	the	the	DET
ap-2015	49	5	following	follow	VERB
ap-2015	49	6	two	two	NUM
ap-2015	49	7	theorems	theorem	NOUN
ap-2015	49	8	.	.	PUNCT
ap-2015	50	1	theorem	theorem	ADJ
ap-2015	50	2	2	2	NUM
ap-2015	51	1	[	[	X
ap-2015	51	2	7	7	NUM
ap-2015	51	3	]	]	PUNCT
ap-2015	51	4	,	,	PUNCT
ap-2015	51	5	[	[	X
ap-2015	51	6	8	8	NUM
ap-2015	51	7	]	]	PUNCT
ap-2015	51	8	.	.	PUNCT
ap-2015	52	1	for	for	ADP
ap-2015	52	2	the	the	DET
ap-2015	52	3	thue	thue	NOUN
ap-2015	52	4	-	-	PUNCT
ap-2015	52	5	morse	morse	NOUN
ap-2015	52	6	sequence	sequence	NOUN
ap-2015	52	7	,	,	PUNCT
ap-2015	52	8	cutm(1	cutm(1	VERB
ap-2015	52	9	)	)	PUNCT
ap-2015	53	1	=	=	SYM
ap-2015	53	2	2	2	NUM
ap-2015	53	3	,	,	PUNCT
ap-2015	53	4	cutm(2	cutm(2	PROPN
ap-2015	53	5	)	)	PUNCT
ap-2015	53	6	=	=	SYM
ap-2015	54	1	4	4	NUM
ap-2015	54	2	and	and	CCONJ
ap-2015	54	3	,	,	PUNCT
ap-2015	54	4	for	for	ADP
ap-2015	54	5	n	n	PRON
ap-2015	54	6	≥	≥	NOUN
ap-2015	54	7	3	3	NUM
ap-2015	54	8	,	,	PUNCT
ap-2015	54	9	if	if	SCONJ
ap-2015	54	10	n	n	NOUN
ap-2015	54	11	=	=	SYM
ap-2015	54	12	2r	2r	NUM
ap-2015	55	1	+	+	CCONJ
ap-2015	55	2	q	q	X
ap-2015	56	1	+	+	NUM
ap-2015	56	2	1	1	NUM
ap-2015	56	3	,	,	PUNCT
ap-2015	56	4	r	r	NOUN
ap-2015	56	5	≥	≥	NOUN
ap-2015	56	6	0	0	NUM
ap-2015	56	7	,	,	PUNCT
ap-2015	56	8	0	0	NUM
ap-2015	56	9	≤	≤	NUM
ap-2015	56	10	q	q	X
ap-2015	56	11	<	<	X
ap-2015	56	12	2r	2r	NUM
ap-2015	56	13	,	,	PUNCT
ap-2015	56	14	then	then	ADV
ap-2015	56	15	cutm(n	cutm(n	NOUN
ap-2015	56	16	)	)	PUNCT
ap-2015	56	17	=	=	NOUN
ap-2015	56	18	{	{	PUNCT
ap-2015	56	19	6	6	NUM
ap-2015	56	20	·	·	SYM
ap-2015	56	21	2r−1	2r−1	NUM
ap-2015	57	1	+	+	NUM
ap-2015	57	2	4q	4q	NOUN
ap-2015	57	3	if	if	SCONJ
ap-2015	57	4	0	0	NUM
ap-2015	57	5	≤	≤	NUM
ap-2015	57	6	q	q	PROPN
ap-2015	57	7	≤	≤	NUM
ap-2015	57	8	2r−1	2r−1	NUM
ap-2015	57	9	,	,	PUNCT
ap-2015	57	10	2r+2	2r+2	PROPN
ap-2015	58	1	+	+	SYM
ap-2015	58	2	2q	2q	NUM
ap-2015	58	3	if	if	SCONJ
ap-2015	58	4	2r−1	2r−1	NUM
ap-2015	58	5	<	<	X
ap-2015	58	6	q	q	X
ap-2015	58	7	<	<	X
ap-2015	58	8	2r	2r	NUM
ap-2015	58	9	.	.	PUNCT
ap-2015	59	1	theorem	theorem	VERB
ap-2015	59	2	3	3	NUM
ap-2015	60	1	[	[	X
ap-2015	60	2	9	9	NUM
ap-2015	60	3	]	]	PUNCT
ap-2015	60	4	.	.	PUNCT
ap-2015	61	1	let	let	VERB
ap-2015	61	2	n	n	PRON
ap-2015	61	3	≥	≥	X
ap-2015	61	4	3	3	NUM
ap-2015	61	5	and	and	CCONJ
ap-2015	61	6	n	n	NOUN
ap-2015	61	7	=	=	SYM
ap-2015	61	8	2	2	NUM
ap-2015	61	9	·	·	PUNCT
ap-2015	61	10	4k	4k	NOUN
ap-2015	62	1	+	+	CCONJ
ap-2015	63	1	q	q	X
ap-2015	63	2	,	,	PUNCT
ap-2015	63	3	k	k	PROPN
ap-2015	63	4	∈	∈	PROPN
ap-2015	63	5	n	n	CCONJ
ap-2015	63	6	,	,	PUNCT
ap-2015	63	7	0	0	NUM
ap-2015	63	8	≤	≤	NUM
ap-2015	63	9	q	q	X
ap-2015	63	10	<	<	X
ap-2015	63	11	6	6	NUM
ap-2015	63	12	·	·	SYM
ap-2015	63	13	4k	4k	NUM
ap-2015	63	14	,	,	PUNCT
ap-2015	63	15	then	then	ADV
ap-2015	63	16	putm(2n	putm(2n	NOUN
ap-2015	63	17	)	)	PUNCT
ap-2015	63	18	=	=	PUNCT
ap-2015	63	19	{	{	PUNCT
ap-2015	63	20	4	4	NUM
ap-2015	63	21	if	if	SCONJ
ap-2015	63	22	0	0	NUM
ap-2015	63	23	<	<	X
ap-2015	63	24	q	q	X
ap-2015	63	25	≤	≤	NUM
ap-2015	63	26	3	3	NUM
ap-2015	63	27	·	·	PUNCT
ap-2015	63	28	4k	4k	NUM
ap-2015	63	29	,	,	PUNCT
ap-2015	63	30	2	2	NUM
ap-2015	63	31	if	if	SCONJ
ap-2015	63	32	3	3	NUM
ap-2015	63	33	·	·	PUNCT
ap-2015	63	34	4k	4k	X
ap-2015	63	35	<	<	X
ap-2015	63	36	q	q	X
ap-2015	63	37	<	<	X
ap-2015	63	38	3	3	NUM
ap-2015	63	39	·	·	PUNCT
ap-2015	63	40	4k	4k	NOUN
ap-2015	63	41	or	or	CCONJ
ap-2015	63	42	q	q	NOUN
ap-2015	63	43	=	=	NOUN
ap-2015	63	44	0	0	NUM
ap-2015	63	45	.	.	PUNCT
ap-2015	64	1	furthermore	furthermore	ADV
ap-2015	64	2	,	,	PUNCT
ap-2015	64	3	putm(1	putm(1	NOUN
ap-2015	64	4	)	)	PUNCT
ap-2015	64	5	=	=	PUNCT
ap-2015	64	6	putm(2	putm(2	X
ap-2015	64	7	)	)	PUNCT
ap-2015	64	8	=	=	SYM
ap-2015	64	9	putm(3	putm(3	PROPN
ap-2015	64	10	)	)	PUNCT
ap-2015	64	11	=	=	SYM
ap-2015	64	12	putm(4	putm(4	ADJ
ap-2015	64	13	)	)	PUNCT
ap-2015	64	14	=	=	SYM
ap-2015	64	15	2	2	NUM
ap-2015	64	16	and	and	CCONJ
ap-2015	64	17	there	there	PRON
ap-2015	64	18	are	be	VERB
ap-2015	64	19	no	no	DET
ap-2015	64	20	palindromes	palindrome	NOUN
ap-2015	64	21	of	of	ADP
ap-2015	64	22	odd	odd	ADJ
ap-2015	64	23	length	length	NOUN
ap-2015	64	24	greater	great	ADJ
ap-2015	64	25	than	than	ADP
ap-2015	64	26	3	3	NUM
ap-2015	64	27	.	.	NOUN
ap-2015	64	28	3	3	NUM
ap-2015	64	29	.	.	X
ap-2015	64	30	factor	factor	NOUN
ap-2015	64	31	complexity	complexity	NOUN
ap-2015	64	32	the	the	DET
ap-2015	64	33	following	follow	VERB
ap-2015	64	34	lemma	lemma	PROPN
ap-2015	64	35	points	point	VERB
ap-2015	64	36	out	out	ADP
ap-2015	64	37	the	the	DET
ap-2015	64	38	similarity	similarity	NOUN
ap-2015	64	39	between	between	ADP
ap-2015	64	40	the	the	DET
ap-2015	64	41	languages	language	NOUN
ap-2015	64	42	of	of	ADP
ap-2015	64	43	the	the	DET
ap-2015	64	44	words	word	NOUN
ap-2015	64	45	utm	utm	PROPN
ap-2015	64	46	and	and	CCONJ
ap-2015	64	47	wa	wa	PROPN
ap-2015	64	48	.	.	PROPN
ap-2015	65	1	lemma	lemma	PROPN
ap-2015	65	2	4	4	NUM
ap-2015	65	3	.	.	PUNCT
ap-2015	66	1	there	there	PRON
ap-2015	66	2	exists	exist	VERB
ap-2015	66	3	a	a	DET
ap-2015	66	4	bijective	bijective	ADJ
ap-2015	66	5	mapping	mapping	NOUN
ap-2015	66	6	from	from	ADP
ap-2015	66	7	lutm(n+	lutm(n+	X
ap-2015	66	8	1	1	NUM
ap-2015	66	9	)	)	PUNCT
ap-2015	66	10	to	to	ADP
ap-2015	66	11	lwa	lwa	PROPN
ap-2015	66	12	(	(	PUNCT
ap-2015	66	13	n	n	CCONJ
ap-2015	66	14	)	)	PUNCT
ap-2015	66	15	for	for	ADP
ap-2015	66	16	all	all	DET
ap-2015	66	17	n	n	PRON
ap-2015	66	18	≥	≥	NOUN
ap-2015	66	19	2	2	NUM
ap-2015	66	20	.	.	PUNCT
ap-2015	67	1	proof	proof	NOUN
ap-2015	67	2	.	.	PUNCT
ap-2015	68	1	the	the	DET
ap-2015	68	2	mapping	mapping	NOUN
ap-2015	68	3	is	be	AUX
ap-2015	68	4	defined	define	VERB
ap-2015	68	5	by	by	ADP
ap-2015	68	6	(	(	PUNCT
ap-2015	68	7	2	2	NUM
ap-2015	68	8	)	)	PUNCT
ap-2015	68	9	.	.	PUNCT
ap-2015	69	1	we	we	PRON
ap-2015	69	2	just	just	ADV
ap-2015	69	3	have	have	VERB
ap-2015	69	4	to	to	PART
ap-2015	69	5	prove	prove	VERB
ap-2015	69	6	that	that	SCONJ
ap-2015	69	7	it	it	PRON
ap-2015	69	8	is	be	AUX
ap-2015	69	9	injective	injective	ADJ
ap-2015	69	10	.	.	PUNCT
ap-2015	70	1	let	let	VERB
ap-2015	70	2	mq	mq	PROPN
ap-2015	70	3	·	·	PUNCT
ap-2015	70	4	·	·	PUNCT
ap-2015	70	5	·	·	PUNCT
ap-2015	70	6	mq+k	mq+k	PROPN
ap-2015	70	7	and	and	CCONJ
ap-2015	70	8	mp	mp	PROPN
ap-2015	70	9	·	·	PUNCT
ap-2015	70	10	·	·	PUNCT
ap-2015	71	1	·	·	PUNCT
ap-2015	71	2	mp+k	mp+k	NOUN
ap-2015	71	3	be	be	VERB
ap-2015	71	4	two	two	NUM
ap-2015	71	5	occurrences	occurrence	NOUN
ap-2015	71	6	of	of	ADP
ap-2015	71	7	the	the	DET
ap-2015	71	8	same	same	ADJ
ap-2015	71	9	factor	factor	NOUN
ap-2015	71	10	of	of	ADP
ap-2015	71	11	wa	wa	PROPN
ap-2015	71	12	,	,	PUNCT
ap-2015	71	13	k	k	PROPN
ap-2015	71	14	≥	≥	NUM
ap-2015	71	15	1	1	NUM
ap-2015	71	16	,	,	PUNCT
ap-2015	71	17	q	q	PUNCT
ap-2015	72	1	6=	6=	NUM
ap-2015	72	2	p.	p.	NOUN
ap-2015	72	3	we	we	PRON
ap-2015	72	4	prove	prove	VERB
ap-2015	72	5	that	that	SCONJ
ap-2015	72	6	the	the	DET
ap-2015	72	7	factors	factor	NOUN
ap-2015	72	8	εqεq+1	εqεq+1	PROPN
ap-2015	72	9	·	·	PUNCT
ap-2015	72	10	·	·	PUNCT
ap-2015	72	11	·	·	PUNCT
ap-2015	72	12	εq+k+1	εq+k+1	NUM
ap-2015	72	13	and	and	CCONJ
ap-2015	72	14	εpεp+1	εpεp+1	NOUN
ap-2015	72	15	·	·	PUNCT
ap-2015	72	16	·	·	PUNCT
ap-2015	72	17	·	·	PUNCT
ap-2015	73	1	εp+k+1	εp+k+1	NOUN
ap-2015	73	2	are	be	AUX
ap-2015	73	3	the	the	DET
ap-2015	73	4	same	same	ADJ
ap-2015	73	5	as	as	ADV
ap-2015	73	6	well	well	ADV
ap-2015	73	7	.	.	PUNCT
ap-2015	74	1	obviously	obviously	ADV
ap-2015	74	2	,	,	PUNCT
ap-2015	74	3	it	it	PRON
ap-2015	74	4	suffices	suffice	VERB
ap-2015	74	5	to	to	PART
ap-2015	74	6	prove	prove	VERB
ap-2015	74	7	it	it	PRON
ap-2015	74	8	for	for	ADP
ap-2015	74	9	the	the	DET
ap-2015	74	10	case	case	NOUN
ap-2015	74	11	of	of	ADP
ap-2015	74	12	k	k	PROPN
ap-2015	74	13	=	=	SYM
ap-2015	74	14	1	1	X
ap-2015	74	15	.	.	PUNCT
ap-2015	75	1	let	let	VERB
ap-2015	75	2	mq	mq	PROPN
ap-2015	75	3	=	=	SYM
ap-2015	75	4	εq+1	εq+1	PROPN
ap-2015	76	1	+	+	NUM
ap-2015	76	2	a(1−	a(1−	NOUN
ap-2015	76	3	εq	εq	X
ap-2015	76	4	)	)	PUNCT
ap-2015	76	5	=	=	SYM
ap-2015	76	6	mp	mp	NOUN
ap-2015	76	7	=	=	SYM
ap-2015	76	8	εp+1	εp+1	PROPN
ap-2015	77	1	+	+	CCONJ
ap-2015	77	2	a(1−	a(1−	PROPN
ap-2015	77	3	εp	εp	NUM
ap-2015	77	4	)	)	PUNCT
ap-2015	77	5	and	and	CCONJ
ap-2015	77	6	mq+1	mq+1	PROPN
ap-2015	77	7	=	=	SYM
ap-2015	77	8	εq+2	εq+2	PROPN
ap-2015	77	9	+	+	SYM
ap-2015	77	10	a(1−	a(1−	PROPN
ap-2015	77	11	εq+1	εq+1	PROPN
ap-2015	77	12	)	)	PUNCT
ap-2015	77	13	=	=	SYM
ap-2015	78	1	mp+1	mp+1	NOUN
ap-2015	78	2	=	=	NOUN
ap-2015	78	3	εp+2	εp+2	PROPN
ap-2015	78	4	+	+	NUM
ap-2015	78	5	a(1−	a(1−	ADJ
ap-2015	78	6	εp+1	εp+1	NUM
ap-2015	78	7	)	)	PUNCT
ap-2015	78	8	.	.	PUNCT
ap-2015	79	1	since	since	SCONJ
ap-2015	79	2	there	there	PRON
ap-2015	79	3	are	be	VERB
ap-2015	79	4	only	only	ADV
ap-2015	79	5	8	8	NUM
ap-2015	79	6	possible	possible	ADJ
ap-2015	79	7	three	three	NUM
ap-2015	79	8	-	-	PUNCT
ap-2015	79	9	letter	letter	NOUN
ap-2015	79	10	binary	binary	NOUN
ap-2015	79	11	words	word	NOUN
ap-2015	79	12	εpεp+1εp+2	εpεp+1εp+2	PROPN
ap-2015	79	13	and	and	CCONJ
ap-2015	79	14	εqεq+1εq+2	εqεq+1εq+2	NUM
ap-2015	79	15	,	,	PUNCT
ap-2015	79	16	it	it	PRON
ap-2015	79	17	is	be	AUX
ap-2015	79	18	easy	easy	ADJ
ap-2015	79	19	to	to	PART
ap-2015	79	20	find	find	VERB
ap-2015	79	21	all	all	DET
ap-2015	79	22	solutions	solution	NOUN
ap-2015	79	23	of	of	ADP
ap-2015	79	24	these	these	DET
ap-2015	79	25	two	two	NUM
ap-2015	79	26	equations	equation	NOUN
ap-2015	79	27	.	.	PUNCT
ap-2015	80	1	if	if	SCONJ
ap-2015	80	2	a	a	DET
ap-2015	80	3	=	=	SYM
ap-2015	80	4	2	2	NUM
ap-2015	80	5	,	,	PUNCT
ap-2015	80	6	then	then	ADV
ap-2015	80	7	εpεp+1εp+2	εpεp+1εp+2	PROPN
ap-2015	80	8	=	=	PUNCT
ap-2015	80	9	εqεq+1εq+2	εqεq+1εq+2	PROPN
ap-2015	80	10	is	be	AUX
ap-2015	80	11	the	the	DET
ap-2015	80	12	unique	unique	ADJ
ap-2015	80	13	solution	solution	NOUN
ap-2015	80	14	of	of	ADP
ap-2015	80	15	this	this	DET
ap-2015	80	16	system	system	NOUN
ap-2015	80	17	of	of	ADP
ap-2015	80	18	two	two	NUM
ap-2015	80	19	equations	equation	NOUN
ap-2015	80	20	.	.	PUNCT
ap-2015	81	1	if	if	SCONJ
ap-2015	81	2	a	a	DET
ap-2015	81	3	=	=	NOUN
ap-2015	81	4	1	1	NUM
ap-2015	81	5	,	,	PUNCT
ap-2015	81	6	εq	εq	VERB
ap-2015	81	7	=	=	SYM
ap-2015	81	8	εq+1	εq+1	PROPN
ap-2015	81	9	=	=	SYM
ap-2015	81	10	εq+2	εq+2	PROPN
ap-2015	81	11	6=	6=	PROPN
ap-2015	81	12	εp	εp	ADP
ap-2015	81	13	=	=	SYM
ap-2015	81	14	εp+1	εp+1	SYM
ap-2015	81	15	=	=	SYM
ap-2015	81	16	εp+2	εp+2	PROPN
ap-2015	81	17	is	be	AUX
ap-2015	81	18	the	the	DET
ap-2015	81	19	only	only	ADJ
ap-2015	81	20	other	other	ADJ
ap-2015	81	21	solution	solution	NOUN
ap-2015	81	22	,	,	PUNCT
ap-2015	81	23	but	but	CCONJ
ap-2015	81	24	it	it	PRON
ap-2015	81	25	is	be	AUX
ap-2015	81	26	not	not	PART
ap-2015	81	27	admissible	admissible	ADJ
ap-2015	81	28	since	since	SCONJ
ap-2015	81	29	neither	neither	CCONJ
ap-2015	81	30	000	000	NUM
ap-2015	81	31	nor	nor	CCONJ
ap-2015	81	32	111	111	NUM
ap-2015	81	33	are	be	AUX
ap-2015	81	34	factors	factor	NOUN
ap-2015	81	35	of	of	ADP
ap-2015	81	36	utm	utm	PROPN
ap-2015	81	37	.	.	PUNCT
ap-2015	82	1	this	this	DET
ap-2015	82	2	lemma	lemma	PROPN
ap-2015	82	3	allows	allow	VERB
ap-2015	82	4	us	we	PRON
ap-2015	82	5	to	to	PART
ap-2015	82	6	determine	determine	VERB
ap-2015	82	7	the	the	DET
ap-2015	82	8	factor	factor	NOUN
ap-2015	82	9	complexity	complexity	NOUN
ap-2015	82	10	cwa	cwa	PROPN
ap-2015	82	11	(	(	PUNCT
ap-2015	82	12	n	n	CCONJ
ap-2015	82	13	)	)	PUNCT
ap-2015	82	14	for	for	ADP
ap-2015	82	15	n	n	X
ap-2015	82	16	≥	≥	NUM
ap-2015	82	17	2	2	NUM
ap-2015	82	18	.	.	PUNCT
ap-2015	83	1	the	the	DET
ap-2015	83	2	case	case	NOUN
ap-2015	83	3	n	n	NOUN
ap-2015	83	4	=	=	SYM
ap-2015	83	5	1	1	NUM
ap-2015	83	6	is	be	AUX
ap-2015	83	7	trivial	trivial	ADJ
ap-2015	83	8	,	,	PUNCT
ap-2015	83	9	cwa	cwa	NOUN
ap-2015	83	10	(	(	PUNCT
ap-2015	83	11	1	1	NUM
ap-2015	83	12	)	)	PUNCT
ap-2015	83	13	is	be	AUX
ap-2015	83	14	equal	equal	ADJ
ap-2015	83	15	to	to	ADP
ap-2015	83	16	the	the	DET
ap-2015	83	17	number	number	NOUN
ap-2015	83	18	of	of	ADP
ap-2015	83	19	letters	letter	NOUN
ap-2015	83	20	occurring	occur	VERB
ap-2015	83	21	in	in	ADP
ap-2015	83	22	wa	wa	PROPN
ap-2015	83	23	.	.	PROPN
ap-2015	83	24	corollary	corollary	ADJ
ap-2015	83	25	5	5	NUM
ap-2015	83	26	.	.	PUNCT
ap-2015	84	1	for	for	ADP
ap-2015	84	2	both	both	CCONJ
ap-2015	84	3	a	a	DET
ap-2015	84	4	=	=	SYM
ap-2015	84	5	1	1	NUM
ap-2015	84	6	and	and	CCONJ
ap-2015	84	7	a	a	DET
ap-2015	84	8	=	=	SYM
ap-2015	84	9	2	2	NUM
ap-2015	84	10	and	and	CCONJ
ap-2015	84	11	for	for	ADP
ap-2015	84	12	all	all	DET
ap-2015	84	13	n	n	PRON
ap-2015	84	14	≥	≥	NOUN
ap-2015	84	15	2	2	NUM
ap-2015	84	16	,	,	PUNCT
ap-2015	84	17	it	it	PRON
ap-2015	84	18	holds	hold	VERB
ap-2015	84	19	cwa	cwa	NOUN
ap-2015	84	20	(	(	PUNCT
ap-2015	84	21	n	n	CCONJ
ap-2015	84	22	)	)	PUNCT
ap-2015	84	23	=	=	NOUN
ap-2015	84	24	cutm(n+	cutm(n+	X
ap-2015	84	25	1	1	NUM
ap-2015	84	26	)	)	PUNCT
ap-2015	84	27	.	.	PUNCT
ap-2015	85	1	furthermore	furthermore	ADV
ap-2015	85	2	,	,	PUNCT
ap-2015	85	3	cw1(1	cw1(1	ADJ
ap-2015	85	4	)	)	PUNCT
ap-2015	85	5	=	=	SYM
ap-2015	85	6	3	3	NUM
ap-2015	85	7	and	and	CCONJ
ap-2015	85	8	cw2(1	cw2(1	NOUN
ap-2015	85	9	)	)	PUNCT
ap-2015	85	10	=	=	SYM
ap-2015	86	1	4	4	X
ap-2015	86	2	.	.	X
ap-2015	86	3	corollary	corollary	ADJ
ap-2015	86	4	6	6	NUM
ap-2015	86	5	.	.	PUNCT
ap-2015	87	1	for	for	ADP
ap-2015	87	2	both	both	CCONJ
ap-2015	87	3	a	a	DET
ap-2015	87	4	=	=	SYM
ap-2015	87	5	1	1	NUM
ap-2015	87	6	and	and	CCONJ
ap-2015	87	7	a	a	DET
ap-2015	87	8	=	=	SYM
ap-2015	87	9	2	2	NUM
ap-2015	87	10	,	,	PUNCT
ap-2015	87	11	wa	wa	X
ap-2015	87	12	is	be	AUX
ap-2015	87	13	square	square	ADJ
ap-2015	87	14	-	-	PUNCT
ap-2015	87	15	free	free	ADJ
ap-2015	87	16	.	.	PUNCT
ap-2015	88	1	proof	proof	NOUN
ap-2015	88	2	.	.	PUNCT
ap-2015	89	1	let	let	VERB
ap-2015	89	2	ww	ww	PROPN
ap-2015	89	3	be	be	AUX
ap-2015	89	4	a	a	DET
ap-2015	89	5	factor	factor	NOUN
ap-2015	89	6	of	of	ADP
ap-2015	89	7	wa	wa	PROPN
ap-2015	89	8	,	,	PUNCT
ap-2015	89	9	w	w	PROPN
ap-2015	89	10	is	be	AUX
ap-2015	89	11	of	of	ADP
ap-2015	89	12	length	length	NOUN
ap-2015	89	13	n	n	CCONJ
ap-2015	89	14	,	,	PUNCT
ap-2015	89	15	and	and	CCONJ
ap-2015	89	16	let	let	VERB
ap-2015	89	17	ww	ww	PROPN
ap-2015	89	18	=	=	PROPN
ap-2015	89	19	mi	mi	PROPN
ap-2015	89	20	·	·	PUNCT
ap-2015	89	21	·	·	PUNCT
ap-2015	89	22	·	·	PUNCT
ap-2015	90	1	mi+2n−1	mi+2n−1	PROPN
ap-2015	90	2	.	.	PUNCT
ap-2015	91	1	then	then	ADV
ap-2015	91	2	,	,	PUNCT
ap-2015	91	3	according	accord	VERB
ap-2015	91	4	to	to	ADP
ap-2015	91	5	the	the	DET
ap-2015	91	6	previous	previous	ADJ
ap-2015	91	7	lemma	lemma	PROPN
ap-2015	91	8	,	,	PUNCT
ap-2015	91	9	there	there	PRON
ap-2015	91	10	exists	exist	VERB
ap-2015	91	11	a	a	DET
ap-2015	91	12	unique	unique	ADJ
ap-2015	91	13	factor	factor	NOUN
ap-2015	91	14	v	v	NOUN
ap-2015	91	15	of	of	ADP
ap-2015	91	16	length	length	NOUN
ap-2015	91	17	n	n	ADP
ap-2015	91	18	having	have	VERB
ap-2015	91	19	b	b	NOUN
ap-2015	91	20	as	as	ADP
ap-2015	91	21	its	its	PRON
ap-2015	91	22	first	first	ADJ
ap-2015	91	23	letter	letter	NOUN
ap-2015	91	24	such	such	ADJ
ap-2015	91	25	that	that	DET
ap-2015	91	26	vvb	vvb	NOUN
ap-2015	91	27	=	=	PUNCT
ap-2015	91	28	εi	εi	NOUN
ap-2015	91	29	·	·	PUNCT
ap-2015	91	30	·	·	PUNCT
ap-2015	91	31	·	·	PUNCT
ap-2015	91	32	εi+2n	εi+2n	ADV
ap-2015	91	33	is	be	AUX
ap-2015	91	34	a	a	DET
ap-2015	91	35	factor	factor	NOUN
ap-2015	91	36	of	of	ADP
ap-2015	91	37	utm	utm	PROPN
ap-2015	91	38	.	.	PUNCT
ap-2015	92	1	but	but	CCONJ
ap-2015	92	2	this	this	PRON
ap-2015	92	3	is	be	AUX
ap-2015	92	4	not	not	PART
ap-2015	92	5	possible	possible	ADJ
ap-2015	92	6	since	since	SCONJ
ap-2015	92	7	utm	utm	PROPN
ap-2015	92	8	is	be	AUX
ap-2015	92	9	overlap	overlap	NOUN
ap-2015	92	10	-	-	PUNCT
ap-2015	92	11	free	free	ADJ
ap-2015	92	12	(	(	PUNCT
ap-2015	92	13	see	see	VERB
ap-2015	93	1	e.g.	e.g.	ADV
ap-2015	93	2	[	[	X
ap-2015	93	3	10	10	NUM
ap-2015	93	4	]	]	NUM
ap-2015	93	5	)	)	PUNCT
ap-2015	93	6	,	,	PUNCT
ap-2015	93	7	which	which	PRON
ap-2015	93	8	means	mean	VERB
ap-2015	93	9	exactly	exactly	ADV
ap-2015	93	10	that	that	SCONJ
ap-2015	93	11	it	it	PRON
ap-2015	93	12	does	do	AUX
ap-2015	93	13	not	not	PART
ap-2015	93	14	contain	contain	VERB
ap-2015	93	15	factors	factor	NOUN
ap-2015	93	16	of	of	ADP
ap-2015	93	17	this	this	DET
ap-2015	93	18	form	form	NOUN
ap-2015	93	19	.	.	PUNCT
ap-2015	94	1	4	4	X
ap-2015	94	2	.	.	X
ap-2015	94	3	palindromic	palindromic	ADJ
ap-2015	94	4	complexity	complexity	NOUN
ap-2015	94	5	as	as	ADP
ap-2015	94	6	for	for	ADP
ap-2015	94	7	the	the	DET
ap-2015	94	8	palindromic	palindromic	ADJ
ap-2015	94	9	complexity	complexity	NOUN
ap-2015	94	10	,	,	PUNCT
ap-2015	94	11	the	the	DET
ap-2015	94	12	difference	difference	NOUN
ap-2015	94	13	between	between	ADP
ap-2015	94	14	the	the	DET
ap-2015	94	15	cases	case	NOUN
ap-2015	94	16	a	a	DET
ap-2015	94	17	=	=	SYM
ap-2015	94	18	1	1	NUM
ap-2015	94	19	and	and	CCONJ
ap-2015	94	20	a	a	DET
ap-2015	94	21	=	=	SYM
ap-2015	94	22	2	2	NUM
ap-2015	94	23	is	be	AUX
ap-2015	94	24	more	more	ADV
ap-2015	94	25	significant	significant	ADJ
ap-2015	94	26	than	than	SCONJ
ap-2015	94	27	it	it	PRON
ap-2015	94	28	is	be	AUX
ap-2015	94	29	for	for	ADP
ap-2015	94	30	the	the	DET
ap-2015	94	31	factor	factor	NOUN
ap-2015	94	32	complexity	complexity	NOUN
ap-2015	94	33	.	.	PUNCT
ap-2015	95	1	however	however	ADV
ap-2015	95	2	,	,	PUNCT
ap-2015	95	3	the	the	DET
ap-2015	95	4	result	result	NOUN
ap-2015	95	5	still	still	ADV
ap-2015	95	6	remains	remain	VERB
ap-2015	95	7	strongly	strongly	ADV
ap-2015	95	8	related	relate	VERB
ap-2015	95	9	to	to	ADP
ap-2015	95	10	the	the	DET
ap-2015	95	11	palindromic	palindromic	ADJ
ap-2015	95	12	complexity	complexity	NOUN
ap-2015	95	13	of	of	ADP
ap-2015	95	14	utm	utm	PROPN
ap-2015	95	15	.	.	PUNCT
ap-2015	96	1	first	first	ADJ
ap-2015	96	2	simple	simple	ADJ
ap-2015	96	3	observation	observation	NOUN
ap-2015	96	4	is	be	AUX
ap-2015	96	5	that	that	SCONJ
ap-2015	96	6	,	,	PUNCT
ap-2015	96	7	since	since	SCONJ
ap-2015	96	8	wa	wa	ADV
ap-2015	96	9	is	be	AUX
ap-2015	96	10	square	square	ADV
ap-2015	96	11	-	-	PUNCT
ap-2015	96	12	free	free	ADJ
ap-2015	96	13	for	for	ADP
ap-2015	96	14	both	both	DET
ap-2015	96	15	values	value	NOUN
ap-2015	96	16	of	of	ADP
ap-2015	96	17	a	a	PRON
ap-2015	96	18	,	,	PUNCT
ap-2015	96	19	it	it	PRON
ap-2015	96	20	can	can	AUX
ap-2015	96	21	not	not	PART
ap-2015	96	22	contain	contain	VERB
ap-2015	96	23	palindromes	palindrome	NOUN
ap-2015	96	24	of	of	ADP
ap-2015	96	25	even	even	ADV
ap-2015	96	26	length	length	NOUN
ap-2015	96	27	since	since	SCONJ
ap-2015	96	28	such	such	ADJ
ap-2015	96	29	palindrome	palindrome	PROPN
ap-2015	96	30	contains	contain	VERB
ap-2015	96	31	the	the	DET
ap-2015	96	32	square	square	NOUN
ap-2015	96	33	of	of	ADP
ap-2015	96	34	a	a	DET
ap-2015	96	35	letter	letter	NOUN
ap-2015	96	36	in	in	ADP
ap-2015	96	37	its	its	PRON
ap-2015	96	38	middle	middle	NOUN
ap-2015	96	39	.	.	PUNCT
ap-2015	97	1	definition	definition	NOUN
ap-2015	97	2	7	7	NUM
ap-2015	97	3	.	.	PUNCT
ap-2015	98	1	let	let	VERB
ap-2015	98	2	a	a	PRON
ap-2015	98	3	=	=	PUNCT
ap-2015	98	4	{	{	PUNCT
ap-2015	98	5	0	0	NUM
ap-2015	98	6	,	,	PUNCT
ap-2015	98	7	1	1	NUM
ap-2015	98	8	,	,	PUNCT
ap-2015	98	9	.	.	PUNCT
ap-2015	98	10	.	.	PUNCT
ap-2015	99	1	.	.	PUNCT
ap-2015	100	1	,	,	PUNCT
ap-2015	100	2	n	n	CCONJ
ap-2015	100	3	}	}	PUNCT
ap-2015	100	4	,	,	PUNCT
ap-2015	100	5	a	a	DET
ap-2015	100	6	∈	∈	PROPN
ap-2015	100	7	a	a	PRON
ap-2015	100	8	and	and	CCONJ
ap-2015	100	9	v	v	NOUN
ap-2015	100	10	=	=	SYM
ap-2015	100	11	v1	v1	PROPN
ap-2015	100	12	·	·	PUNCT
ap-2015	100	13	·	·	PUNCT
ap-2015	100	14	·	·	PUNCT
ap-2015	100	15	vm	vm	PROPN
ap-2015	100	16	∈	∈	PROPN
ap-2015	100	17	a∗	a∗	PROPN
ap-2015	100	18	,	,	PUNCT
ap-2015	100	19	n	n	CCONJ
ap-2015	100	20	,	,	PUNCT
ap-2015	100	21	m	m	VERB
ap-2015	100	22	≥	≥	NOUN
ap-2015	100	23	1	1	NUM
ap-2015	100	24	.	.	PUNCT
ap-2015	100	25	set	set	VERB
ap-2015	100	26	ā	ā	NOUN
ap-2015	100	27	=	=	SYM
ap-2015	100	28	n	n	CCONJ
ap-2015	100	29	−	−	PROPN
ap-2015	100	30	a	a	PRON
ap-2015	100	31	and	and	CCONJ
ap-2015	100	32	v̄	v̄	NOUN
ap-2015	100	33	=	=	NOUN
ap-2015	100	34	v̄1	v̄1	X
ap-2015	100	35	·	·	PUNCT
ap-2015	100	36	·	·	PUNCT
ap-2015	100	37	·	·	PUNCT
ap-2015	101	1	v̄m	v̄m	NOUN
ap-2015	101	2	.	.	PUNCT
ap-2015	102	1	lemma	lemma	PROPN
ap-2015	102	2	8	8	NUM
ap-2015	102	3	.	.	PUNCT
ap-2015	103	1	let	let	VERB
ap-2015	103	2	p	p	PRON
ap-2015	103	3	≥	≥	NUM
ap-2015	103	4	2	2	NUM
ap-2015	103	5	be	be	AUX
ap-2015	103	6	even	even	ADV
ap-2015	103	7	.	.	PUNCT
ap-2015	104	1	•	•	NUM
ap-2015	104	2	a	a	DET
ap-2015	104	3	word	word	NOUN
ap-2015	104	4	mnmn+1	mnmn+1	PROPN
ap-2015	104	5	.	.	PUNCT
ap-2015	104	6	.	.	PUNCT
ap-2015	105	1	.mn+p	.mn+p	PROPN
ap-2015	105	2	is	be	AUX
ap-2015	105	3	a	a	DET
ap-2015	105	4	palindrome	palindrome	NOUN
ap-2015	105	5	of	of	ADP
ap-2015	105	6	w2	w2	NOUN
ap-2015	105	7	if	if	SCONJ
ap-2015	105	8	and	and	CCONJ
ap-2015	105	9	only	only	ADV
ap-2015	105	10	if	if	SCONJ
ap-2015	105	11	εn	εn	VERB
ap-2015	105	12	=	=	SYM
ap-2015	105	13	εn+2	εn+2	X
ap-2015	105	14	=	=	SYM
ap-2015	105	15	·	·	PUNCT
ap-2015	105	16	·	·	PUNCT
ap-2015	105	17	·	·	PUNCT
ap-2015	106	1	=	=	PUNCT
ap-2015	106	2	εn+p−2	εn+p−2	NOUN
ap-2015	106	3	=	=	SYM
ap-2015	106	4	εn+p	εn+p	PROPN
ap-2015	106	5	,	,	PUNCT
ap-2015	106	6	εn+1	εn+1	ADJ
ap-2015	106	7	=	=	SYM
ap-2015	106	8	εn+3	εn+3	X
ap-2015	106	9	=	=	SYM
ap-2015	106	10	·	·	PUNCT
ap-2015	106	11	·	·	PUNCT
ap-2015	106	12	·	·	PUNCT
ap-2015	107	1	=	=	PUNCT
ap-2015	107	2	εn+p−1	εn+p−1	NOUN
ap-2015	107	3	=	=	PUNCT
ap-2015	107	4	εn+p+1	εn+p+1	NOUN
ap-2015	107	5	,	,	PUNCT
ap-2015	107	6	(	(	PUNCT
ap-2015	107	7	3	3	X
ap-2015	107	8	)	)	PUNCT
ap-2015	107	9	where	where	SCONJ
ap-2015	107	10	εn+1	εn+1	PROPN
ap-2015	107	11	6=	6=	ADP
ap-2015	107	12	εn	εn	ADJ
ap-2015	107	13	.	.	PROPN
ap-2015	107	14	•	•	NUM
ap-2015	107	15	a	a	DET
ap-2015	107	16	word	word	NOUN
ap-2015	107	17	mnmn+1	mnmn+1	PROPN
ap-2015	107	18	.	.	PUNCT
ap-2015	107	19	.	.	PUNCT
ap-2015	108	1	.mn+p	.mn+p	PROPN
ap-2015	108	2	is	be	AUX
ap-2015	108	3	a	a	DET
ap-2015	108	4	palindrome	palindrome	NOUN
ap-2015	108	5	of	of	ADP
ap-2015	108	6	w1	w1	NOUN
ap-2015	108	7	if	if	SCONJ
ap-2015	109	1	and	and	CCONJ
ap-2015	109	2	only	only	ADV
ap-2015	109	3	if	if	SCONJ
ap-2015	109	4	εn	εn	ADJ
ap-2015	109	5	=	=	VERB
ap-2015	109	6	εn+p+1	εn+p+1	NOUN
ap-2015	109	7	...	...	PUNCT
ap-2015	110	1	εn+	εn+	PROPN
ap-2015	111	1	p	p	ADJ
ap-2015	111	2	2	2	NUM
ap-2015	111	3	=	=	SYM
ap-2015	111	4	εn+	εn+	NOUN
ap-2015	111	5	p	p	NOUN
ap-2015	111	6	2	2	NUM
ap-2015	111	7	+1	+1	NOUN
ap-2015	111	8	.	.	PUNCT
ap-2015	112	1	(	(	PUNCT
ap-2015	112	2	4	4	X
ap-2015	112	3	)	)	PUNCT
ap-2015	112	4	869	869	NUM
ap-2015	112	5	ch	ch	NOUN
ap-2015	112	6	.	.	PUNCT
ap-2015	112	7	frougny	frougny	PROPN
ap-2015	112	8	,	,	PUNCT
ap-2015	112	9	k.	k.	PROPN
ap-2015	112	10	klouda	klouda	PROPN
ap-2015	112	11	acta	acta	PROPN
ap-2015	112	12	polytechnica	polytechnica	PROPN
ap-2015	112	13	proof	proof	NOUN
ap-2015	112	14	.	.	PUNCT
ap-2015	113	1	we	we	PRON
ap-2015	113	2	have	have	VERB
ap-2015	113	3	for	for	ADP
ap-2015	113	4	all	all	DET
ap-2015	113	5	i	i	NOUN
ap-2015	113	6	=	=	NOUN
ap-2015	113	7	0	0	NUM
ap-2015	113	8	,	,	PUNCT
ap-2015	113	9	1	1	NUM
ap-2015	113	10	,	,	PUNCT
ap-2015	113	11	.	.	PUNCT
ap-2015	113	12	.	.	PUNCT
ap-2015	114	1	.	.	PUNCT
ap-2015	115	1	,	,	PUNCT
ap-2015	115	2	p	p	NOUN
ap-2015	115	3	2	2	NUM
ap-2015	115	4	−	−	PROPN
ap-2015	115	5	1	1	NUM
ap-2015	115	6	mn+i	mn+i	NOUN
ap-2015	115	7	=	=	NOUN
ap-2015	115	8	εn+i+1	εn+i+1	NOUN
ap-2015	115	9	+	+	CCONJ
ap-2015	115	10	a(1−	a(1−	NOUN
ap-2015	115	11	εn+i	εn+i	NUM
ap-2015	115	12	)	)	PUNCT
ap-2015	115	13	=	=	VERB
ap-2015	115	14	mn+p−i	mn+p−i	NOUN
ap-2015	115	15	=	=	PUNCT
ap-2015	115	16	εn+p−i+1	εn+p−i+1	X
ap-2015	115	17	+	+	X
ap-2015	115	18	a(1−	a(1−	ADJ
ap-2015	115	19	εn+p−i	εn+p−i	NOUN
ap-2015	115	20	)	)	PUNCT
ap-2015	115	21	,	,	PUNCT
ap-2015	115	22	mn+i+1	mn+i+1	NOUN
ap-2015	115	23	=	=	SYM
ap-2015	116	1	εn+i+2	εn+i+2	PROPN
ap-2015	116	2	+	+	CCONJ
ap-2015	116	3	a(1−	a(1−	NOUN
ap-2015	116	4	εn+i+1	εn+i+1	NUM
ap-2015	116	5	)	)	PUNCT
ap-2015	116	6	=	=	SYM
ap-2015	116	7	mn+p−i−1	mn+p−i−1	PROPN
ap-2015	116	8	=	=	SYM
ap-2015	116	9	εn+p−i	εn+p−i	PROPN
ap-2015	116	10	+	+	CCONJ
ap-2015	116	11	a(1−	a(1−	PROPN
ap-2015	116	12	εn+p−i−1	εn+p−i−1	PROPN
ap-2015	116	13	)	)	PUNCT
ap-2015	116	14	,	,	PUNCT
ap-2015	116	15	(	(	PUNCT
ap-2015	116	16	5	5	X
ap-2015	116	17	)	)	PUNCT
ap-2015	116	18	where	where	SCONJ
ap-2015	116	19	mn+i	mn+i	PROPN
ap-2015	116	20	6=	6=	NUM
ap-2015	116	21	mn+i+1	mn+i+1	NOUN
ap-2015	116	22	due	due	ADP
ap-2015	116	23	to	to	ADP
ap-2015	116	24	the	the	DET
ap-2015	116	25	square	square	PROPN
ap-2015	116	26	-	-	PUNCT
ap-2015	116	27	freeness	freeness	PROPN
ap-2015	116	28	of	of	ADP
ap-2015	116	29	wa	wa	PROPN
ap-2015	116	30	.	.	PUNCT
ap-2015	117	1	these	these	DET
ap-2015	117	2	two	two	NUM
ap-2015	117	3	equations	equation	NOUN
ap-2015	117	4	have	have	VERB
ap-2015	117	5	a	a	DET
ap-2015	117	6	trivial	trivial	ADJ
ap-2015	117	7	solution	solution	NOUN
ap-2015	117	8	εn+i	εn+i	NUM
ap-2015	117	9	=	=	SYM
ap-2015	117	10	εn+i+2	εn+i+2	NOUN
ap-2015	117	11	=	=	PUNCT
ap-2015	117	12	εn+p−i	εn+p−i	PROPN
ap-2015	117	13	6=	6=	NOUN
ap-2015	117	14	εn+i+1	εn+i+1	NUM
ap-2015	117	15	=	=	SYM
ap-2015	117	16	εn+p−i+1	εn+p−i+1	NOUN
ap-2015	117	17	=	=	SYM
ap-2015	117	18	εn+p−i−1	εn+p−i−1	PROPN
ap-2015	117	19	for	for	ADP
ap-2015	117	20	i	i	PROPN
ap-2015	117	21	=	=	SYM
ap-2015	117	22	0	0	NUM
ap-2015	117	23	,	,	PUNCT
ap-2015	117	24	1	1	NUM
ap-2015	117	25	,	,	PUNCT
ap-2015	117	26	.	.	PUNCT
ap-2015	117	27	.	.	PUNCT
ap-2015	118	1	.	.	PUNCT
ap-2015	119	1	,	,	PUNCT
ap-2015	119	2	p	p	NOUN
ap-2015	119	3	2	2	NUM
ap-2015	119	4	−	−	NUM
ap-2015	119	5	2	2	NUM
ap-2015	119	6	.	.	X
ap-2015	120	1	for	for	ADP
ap-2015	120	2	the	the	DET
ap-2015	120	3	case	case	NOUN
ap-2015	120	4	a	a	DET
ap-2015	120	5	=	=	SYM
ap-2015	120	6	2	2	NUM
ap-2015	120	7	,	,	PUNCT
ap-2015	120	8	it	it	PRON
ap-2015	120	9	is	be	AUX
ap-2015	120	10	the	the	DET
ap-2015	120	11	only	only	ADJ
ap-2015	120	12	solution	solution	NOUN
ap-2015	120	13	.	.	PUNCT
ap-2015	121	1	if	if	SCONJ
ap-2015	121	2	a	a	DET
ap-2015	121	3	=	=	NOUN
ap-2015	121	4	1	1	NUM
ap-2015	121	5	,	,	PUNCT
ap-2015	121	6	we	we	PRON
ap-2015	121	7	can	can	AUX
ap-2015	121	8	rewrite	rewrite	VERB
ap-2015	121	9	(	(	PUNCT
ap-2015	121	10	5	5	NUM
ap-2015	121	11	)	)	PUNCT
ap-2015	121	12	as	as	ADP
ap-2015	121	13	εn+1	εn+1	NUM
ap-2015	121	14	+	+	CCONJ
ap-2015	121	15	εn+p	εn+p	NOUN
ap-2015	121	16	=	=	SYM
ap-2015	121	17	εn	εn	ADJ
ap-2015	121	18	+	+	CCONJ
ap-2015	121	19	εn+p+1	εn+p+1	VERB
ap-2015	121	20	εn+2	εn+2	NUM
ap-2015	122	1	+	+	CCONJ
ap-2015	122	2	εn+p−1	εn+p−1	ADJ
ap-2015	122	3	=	=	SYM
ap-2015	122	4	εn+1	εn+1	PROPN
ap-2015	122	5	+	+	CCONJ
ap-2015	122	6	εn+p	εn+p	PROPN
ap-2015	122	7	...	...	PUNCT
ap-2015	123	1	εn+	εn+	PROPN
ap-2015	123	2	p	p	NOUN
ap-2015	123	3	2	2	NUM
ap-2015	124	1	+	+	NUM
ap-2015	124	2	εn+	εn+	NOUN
ap-2015	124	3	p	p	NOUN
ap-2015	124	4	2	2	NUM
ap-2015	124	5	+1	+1	NOUN
ap-2015	124	6	=	=	PUNCT
ap-2015	124	7	εn+	εn+	NOUN
ap-2015	124	8	p	p	NOUN
ap-2015	125	1	2−1	2−1	X
ap-2015	125	2	+	+	CCONJ
ap-2015	125	3	εn+	εn+	PROPN
ap-2015	125	4	p	p	NOUN
ap-2015	125	5	2	2	NUM
ap-2015	125	6	+2	+2	PROPN
ap-2015	125	7	.	.	PUNCT
ap-2015	126	1	now	now	ADV
ap-2015	126	2	,	,	PUNCT
ap-2015	126	3	considering	consider	VERB
ap-2015	126	4	that	that	SCONJ
ap-2015	126	5	εn	εn	ADV
ap-2015	126	6	=	=	PUNCT
ap-2015	126	7	εn+p+1	εn+p+1	ADV
ap-2015	126	8	leads	lead	VERB
ap-2015	126	9	to	to	ADP
ap-2015	126	10	inadmissible	inadmissible	ADJ
ap-2015	126	11	solution	solution	NOUN
ap-2015	126	12	εn	εn	ADP
ap-2015	126	13	=	=	SYM
ap-2015	126	14	εn+1	εn+1	X
ap-2015	126	15	=	=	SYM
ap-2015	126	16	·	·	PUNCT
ap-2015	126	17	·	·	PUNCT
ap-2015	126	18	·	·	PUNCT
ap-2015	127	1	=	=	PUNCT
ap-2015	127	2	εn+p+1	εn+p+1	NOUN
ap-2015	127	3	,	,	PUNCT
ap-2015	127	4	therefore	therefore	ADV
ap-2015	127	5	,	,	PUNCT
ap-2015	127	6	the	the	DET
ap-2015	127	7	factor	factor	NOUN
ap-2015	127	8	εnεn+1	εnεn+1	PROPN
ap-2015	127	9	·	·	PUNCT
ap-2015	127	10	·	·	PUNCT
ap-2015	127	11	·	·	PUNCT
ap-2015	127	12	εn+p+1	εn+p+1	ADV
ap-2015	127	13	is	be	AUX
ap-2015	127	14	a	a	DET
ap-2015	127	15	solution	solution	NOUN
ap-2015	127	16	if	if	SCONJ
ap-2015	127	17	and	and	CCONJ
ap-2015	127	18	only	only	ADV
ap-2015	127	19	if	if	SCONJ
ap-2015	127	20	(	(	PUNCT
ap-2015	127	21	4	4	X
ap-2015	127	22	)	)	PUNCT
ap-2015	127	23	is	be	AUX
ap-2015	127	24	satisfied	satisfied	ADJ
ap-2015	127	25	.	.	PUNCT
ap-2015	128	1	thus	thus	ADV
ap-2015	128	2	,	,	PUNCT
ap-2015	128	3	in	in	ADP
ap-2015	128	4	the	the	DET
ap-2015	128	5	case	case	NOUN
ap-2015	128	6	of	of	ADP
ap-2015	128	7	a	a	DET
ap-2015	128	8	=	=	SYM
ap-2015	128	9	2	2	NUM
ap-2015	128	10	,	,	PUNCT
ap-2015	128	11	the	the	DET
ap-2015	128	12	existence	existence	NOUN
ap-2015	128	13	of	of	ADP
ap-2015	128	14	a	a	DET
ap-2015	128	15	palindrome	palindrome	NOUN
ap-2015	128	16	of	of	ADP
ap-2015	128	17	odd	odd	ADJ
ap-2015	128	18	length	length	NOUN
ap-2015	128	19	p+	p+	NOUN
ap-2015	128	20	1	1	NUM
ap-2015	128	21	,	,	PUNCT
ap-2015	128	22	p	p	PRON
ap-2015	128	23	≥	≥	NUM
ap-2015	128	24	2	2	NUM
ap-2015	128	25	is	be	AUX
ap-2015	128	26	equivalent	equivalent	ADJ
ap-2015	128	27	to	to	ADP
ap-2015	128	28	the	the	DET
ap-2015	128	29	existence	existence	NOUN
ap-2015	128	30	of	of	ADP
ap-2015	128	31	the	the	DET
ap-2015	128	32	factors	factor	NOUN
ap-2015	128	33	1010	1010	NUM
ap-2015	128	34	·	·	PUNCT
ap-2015	128	35	·	·	PUNCT
ap-2015	128	36	·	·	PUNCT
ap-2015	129	1	10	10	NUM
ap-2015	129	2	or	or	CCONJ
ap-2015	129	3	0101	0101	NUM
ap-2015	129	4	·	·	PUNCT
ap-2015	129	5	·	·	PUNCT
ap-2015	129	6	·	·	PUNCT
ap-2015	129	7	01	01	NUM
ap-2015	130	1	in	in	ADP
ap-2015	130	2	utm	utm	NOUN
ap-2015	130	3	of	of	ADP
ap-2015	130	4	length	length	NOUN
ap-2015	130	5	p	p	NOUN
ap-2015	130	6	+	+	NOUN
ap-2015	130	7	2	2	NUM
ap-2015	130	8	.	.	PUNCT
ap-2015	130	9	but	but	CCONJ
ap-2015	130	10	such	such	ADJ
ap-2015	130	11	words	word	NOUN
ap-2015	130	12	are	be	AUX
ap-2015	130	13	factors	factor	NOUN
ap-2015	130	14	of	of	ADP
ap-2015	130	15	utm	utm	NOUN
ap-2015	130	16	only	only	ADV
ap-2015	130	17	for	for	ADP
ap-2015	130	18	p	p	NOUN
ap-2015	130	19	=	=	SYM
ap-2015	130	20	2	2	NUM
ap-2015	130	21	.	.	PUNCT
ap-2015	130	22	theorem	theorem	NOUN
ap-2015	130	23	9	9	NUM
ap-2015	130	24	.	.	PUNCT
ap-2015	131	1	it	it	PRON
ap-2015	131	2	holds	hold	VERB
ap-2015	131	3	pw2(n	pw2(n	PROPN
ap-2015	131	4	)	)	PUNCT
ap-2015	132	1	=	=	SYM
ap-2015	132	2			NOUN
ap-2015	132	3	4	4	NUM
ap-2015	132	4	if	if	SCONJ
ap-2015	132	5	n	n	NOUN
ap-2015	132	6	=	=	SYM
ap-2015	132	7	1	1	NUM
ap-2015	132	8	,	,	PUNCT
ap-2015	132	9	2	2	NUM
ap-2015	132	10	if	if	SCONJ
ap-2015	132	11	n	n	X
ap-2015	132	12	=	=	SYM
ap-2015	132	13	3	3	NUM
ap-2015	132	14	,	,	PUNCT
ap-2015	132	15	0	0	NUM
ap-2015	132	16	otherwise	otherwise	ADV
ap-2015	132	17	.	.	PUNCT
ap-2015	133	1	in	in	ADP
ap-2015	133	2	order	order	NOUN
ap-2015	133	3	to	to	PART
ap-2015	133	4	describe	describe	VERB
ap-2015	133	5	the	the	DET
ap-2015	133	6	relation	relation	NOUN
ap-2015	133	7	between	between	ADP
ap-2015	133	8	the	the	DET
ap-2015	133	9	palindromic	palindromic	ADJ
ap-2015	133	10	complexities	complexity	NOUN
ap-2015	133	11	of	of	ADP
ap-2015	133	12	w1	w1	NOUN
ap-2015	133	13	and	and	CCONJ
ap-2015	133	14	utm	utm	PROPN
ap-2015	133	15	,	,	PUNCT
ap-2015	133	16	we	we	PRON
ap-2015	133	17	need	need	VERB
ap-2015	133	18	to	to	PART
ap-2015	133	19	introduce	introduce	VERB
ap-2015	133	20	the	the	DET
ap-2015	133	21	following	following	ADJ
ap-2015	133	22	definition	definition	NOUN
ap-2015	133	23	.	.	PUNCT
ap-2015	134	1	definition	definition	NOUN
ap-2015	134	2	10	10	NUM
ap-2015	134	3	.	.	PUNCT
ap-2015	135	1	a	a	DET
ap-2015	135	2	factor	factor	NOUN
ap-2015	135	3	v	v	NOUN
ap-2015	135	4	of	of	ADP
ap-2015	135	5	an	an	DET
ap-2015	135	6	infinite	infinite	ADJ
ap-2015	135	7	word	word	NOUN
ap-2015	135	8	u	u	NOUN
ap-2015	135	9	is	be	AUX
ap-2015	135	10	said	say	VERB
ap-2015	135	11	to	to	PART
ap-2015	135	12	be	be	AUX
ap-2015	135	13	a	a	DET
ap-2015	135	14	c	c	NOUN
ap-2015	135	15	-	-	PUNCT
ap-2015	135	16	palindrome	palindrome	ADJ
ap-2015	135	17	if	if	SCONJ
ap-2015	135	18	v	v	NOUN
ap-2015	135	19	=	=	PUNCT
ap-2015	135	20	ṽ.	ṽ.	PROPN
ap-2015	135	21	denote	denote	VERB
ap-2015	135	22	cpu(n	cpu(n	NOUN
ap-2015	135	23	)	)	PUNCT
ap-2015	135	24	the	the	DET
ap-2015	135	25	number	number	NOUN
ap-2015	135	26	of	of	ADP
ap-2015	135	27	c	c	NOUN
ap-2015	135	28	-	-	PUNCT
ap-2015	135	29	palindromes	palindrome	NOUN
ap-2015	135	30	of	of	ADP
ap-2015	135	31	length	length	NOUN
ap-2015	135	32	n	n	PROPN
ap-2015	135	33	in	in	ADP
ap-2015	135	34	u.	u.	PROPN
ap-2015	135	35	lemma	lemma	PROPN
ap-2015	135	36	8	8	NUM
ap-2015	135	37	says	say	VERB
ap-2015	135	38	that	that	SCONJ
ap-2015	135	39	there	there	PRON
ap-2015	135	40	exists	exist	VERB
ap-2015	135	41	a	a	DET
ap-2015	135	42	bijective	bijective	ADJ
ap-2015	135	43	mapping	mapping	NOUN
ap-2015	135	44	between	between	ADP
ap-2015	135	45	the	the	DET
ap-2015	135	46	set	set	NOUN
ap-2015	135	47	of	of	ADP
ap-2015	135	48	palindromes	palindrome	NOUN
ap-2015	135	49	in	in	ADP
ap-2015	135	50	w1	w1	NOUN
ap-2015	135	51	of	of	ADP
ap-2015	135	52	odd	odd	ADJ
ap-2015	135	53	length	length	NOUN
ap-2015	135	54	p+	p+	NOUN
ap-2015	135	55	1	1	NUM
ap-2015	135	56	,	,	PUNCT
ap-2015	135	57	p	p	PRON
ap-2015	135	58	≥	≥	NOUN
ap-2015	135	59	2	2	NUM
ap-2015	135	60	,	,	PUNCT
ap-2015	135	61	and	and	CCONJ
ap-2015	135	62	the	the	DET
ap-2015	135	63	set	set	NOUN
ap-2015	135	64	of	of	ADP
ap-2015	135	65	c	c	NOUN
ap-2015	135	66	-	-	PUNCT
ap-2015	135	67	palindromes	palindrome	NOUN
ap-2015	135	68	in	in	ADP
ap-2015	135	69	utm	utm	NOUN
ap-2015	135	70	of	of	ADP
ap-2015	135	71	length	length	NOUN
ap-2015	135	72	p+	p+	PROPN
ap-2015	135	73	2	2	NUM
ap-2015	135	74	.	.	PUNCT
ap-2015	135	75	corollary	corollary	ADJ
ap-2015	135	76	11	11	NUM
ap-2015	135	77	.	.	PUNCT
ap-2015	136	1	for	for	ADP
ap-2015	136	2	n	n	PRON
ap-2015	136	3	≥	≥	NUM
ap-2015	136	4	1	1	NUM
ap-2015	136	5	it	it	PRON
ap-2015	136	6	holds	hold	VERB
ap-2015	136	7	pw1(2n+	pw1(2n+	X
ap-2015	136	8	1	1	NUM
ap-2015	136	9	)	)	PUNCT
ap-2015	136	10	=	=	PRON
ap-2015	136	11	cputm(2n+	cputm(2n+	NUM
ap-2015	136	12	2	2	NUM
ap-2015	136	13	)	)	PUNCT
ap-2015	136	14	.	.	PUNCT
ap-2015	137	1	lemma	lemma	PROPN
ap-2015	137	2	12	12	NUM
ap-2015	137	3	.	.	PUNCT
ap-2015	138	1	for	for	ADP
ap-2015	138	2	all	all	DET
ap-2015	138	3	positive	positive	ADJ
ap-2015	138	4	integers	integer	NOUN
ap-2015	138	5	n	n	PRON
ap-2015	138	6	it	it	PRON
ap-2015	138	7	holds	hold	VERB
ap-2015	138	8	that	that	PRON
ap-2015	138	9	cputm(2n	cputm(2n	NOUN
ap-2015	138	10	)	)	PUNCT
ap-2015	138	11	=	=	SYM
ap-2015	138	12	putm(4n	putm(4n	NOUN
ap-2015	138	13	)	)	PUNCT
ap-2015	138	14	.	.	PUNCT
ap-2015	139	1	proof	proof	NOUN
ap-2015	139	2	.	.	PUNCT
ap-2015	140	1	it	it	PRON
ap-2015	140	2	is	be	AUX
ap-2015	140	3	readily	readily	ADV
ap-2015	140	4	seen	see	VERB
ap-2015	140	5	that	that	SCONJ
ap-2015	140	6	if	if	SCONJ
ap-2015	140	7	v	v	NOUN
ap-2015	140	8	is	be	AUX
ap-2015	140	9	a	a	DET
ap-2015	140	10	c	c	NOUN
ap-2015	140	11	-	-	PUNCT
ap-2015	140	12	palindrome	palindrome	ADJ
ap-2015	140	13	in	in	ADP
ap-2015	140	14	utm	utm	NOUN
ap-2015	140	15	of	of	ADP
ap-2015	140	16	length	length	NOUN
ap-2015	140	17	2n	2n	NUM
ap-2015	140	18	,	,	PUNCT
ap-2015	140	19	then	then	ADV
ap-2015	140	20	ϕtm(v	ϕtm(v	PROPN
ap-2015	140	21	)	)	PUNCT
ap-2015	140	22	is	be	AUX
ap-2015	140	23	a	a	DET
ap-2015	140	24	palindrome	palindrome	NOUN
ap-2015	140	25	of	of	ADP
ap-2015	140	26	length	length	NOUN
ap-2015	140	27	4n	4n	NOUN
ap-2015	140	28	.	.	PUNCT
ap-2015	141	1	similarly	similarly	ADV
ap-2015	141	2	,	,	PUNCT
ap-2015	141	3	if	if	SCONJ
ap-2015	141	4	v′	v′	NOUN
ap-2015	141	5	is	be	AUX
ap-2015	141	6	a	a	DET
ap-2015	141	7	palindrome	palindrome	NOUN
ap-2015	141	8	of	of	ADP
ap-2015	141	9	length	length	NOUN
ap-2015	141	10	4n	4n	NOUN
ap-2015	141	11	,	,	PUNCT
ap-2015	141	12	then	then	ADV
ap-2015	141	13	there	there	PRON
ap-2015	141	14	exists	exist	VERB
ap-2015	141	15	a	a	DET
ap-2015	141	16	unique	unique	ADJ
ap-2015	141	17	c	c	NOUN
ap-2015	141	18	-	-	PUNCT
ap-2015	141	19	palindrome	palindrome	VERB
ap-2015	141	20	v	v	NOUN
ap-2015	141	21	of	of	ADP
ap-2015	141	22	length	length	NOUN
ap-2015	141	23	2n	2n	NUM
ap-2015	142	1	such	such	ADJ
ap-2015	142	2	that	that	SCONJ
ap-2015	142	3	ϕtm(v	ϕtm(v	NOUN
ap-2015	142	4	)	)	PUNCT
ap-2015	142	5	=	=	SYM
ap-2015	142	6	v′.	v′.	X
ap-2015	142	7	theorem	theorem	ADJ
ap-2015	142	8	13	13	NUM
ap-2015	142	9	.	.	PUNCT
ap-2015	143	1	for	for	ADP
ap-2015	143	2	n	n	X
ap-2015	143	3	≥	≥	NUM
ap-2015	143	4	1	1	NUM
ap-2015	143	5	pw1(2n+	pw1(2n+	SYM
ap-2015	143	6	1	1	NUM
ap-2015	143	7	)	)	PUNCT
ap-2015	143	8	=	=	NOUN
ap-2015	143	9	putm(4n+	putm(4n+	PROPN
ap-2015	143	10	4	4	NUM
ap-2015	143	11	)	)	PUNCT
ap-2015	143	12	,	,	PUNCT
ap-2015	143	13	pw1(1	pw1(1	X
ap-2015	143	14	)	)	PUNCT
ap-2015	143	15	=	=	SYM
ap-2015	143	16	3	3	X
ap-2015	143	17	.	.	X
ap-2015	143	18	there	there	PRON
ap-2015	143	19	are	be	VERB
ap-2015	143	20	no	no	DET
ap-2015	143	21	palindromes	palindrome	NOUN
ap-2015	143	22	of	of	ADP
ap-2015	143	23	even	even	ADV
ap-2015	143	24	length	length	NOUN
ap-2015	143	25	in	in	ADP
ap-2015	143	26	w1	w1	NOUN
ap-2015	143	27	.	.	PUNCT
ap-2015	144	1	5	5	NUM
ap-2015	144	2	.	.	X
ap-2015	144	3	remarks	remark	NOUN
ap-2015	144	4	as	as	SCONJ
ap-2015	144	5	remarked	remark	VERB
ap-2015	144	6	in	in	ADP
ap-2015	144	7	[	[	X
ap-2015	144	8	1	1	NUM
ap-2015	144	9	,	,	PUNCT
ap-2015	144	10	remark	remark	NOUN
ap-2015	144	11	5	5	NUM
ap-2015	144	12	]	]	PUNCT
ap-2015	144	13	,	,	PUNCT
ap-2015	144	14	w1	w1	NOUN
ap-2015	144	15	=	=	SYM
ap-2015	144	16	210201210120	210201210120	NUM
ap-2015	144	17	·	·	PUNCT
ap-2015	144	18	·	·	PUNCT
ap-2015	145	1	·	·	PUNCT
ap-2015	145	2	is	be	AUX
ap-2015	145	3	exactly	exactly	ADV
ap-2015	145	4	the	the	DET
ap-2015	145	5	square	square	ADJ
ap-2015	145	6	-	-	PUNCT
ap-2015	145	7	free	free	ADJ
ap-2015	145	8	braunholtz	braunholtz	NOUN
ap-2015	145	9	sequence	sequence	NOUN
ap-2015	145	10	on	on	ADP
ap-2015	145	11	three	three	NUM
ap-2015	145	12	letters	letter	NOUN
ap-2015	145	13	given	give	VERB
ap-2015	145	14	in	in	ADP
ap-2015	145	15	[	[	PUNCT
ap-2015	145	16	11	11	NUM
ap-2015	145	17	]	]	PUNCT
ap-2015	145	18	.	.	PUNCT
ap-2015	146	1	moreover	moreover	ADV
ap-2015	146	2	,	,	PUNCT
ap-2015	146	3	this	this	DET
ap-2015	146	4	sequence	sequence	NOUN
ap-2015	146	5	is	be	AUX
ap-2015	146	6	in	in	ADP
ap-2015	146	7	fact	fact	NOUN
ap-2015	146	8	the	the	DET
ap-2015	146	9	sequence	sequence	NOUN
ap-2015	146	10	ui	ui	NOUN
ap-2015	146	11	which	which	PRON
ap-2015	146	12	can	can	AUX
ap-2015	146	13	be	be	AUX
ap-2015	146	14	defined	define	VERB
ap-2015	146	15	as	as	ADP
ap-2015	146	16	the	the	DET
ap-2015	146	17	fixed	fix	VERB
ap-2015	146	18	point	point	NOUN
ap-2015	146	19	of	of	ADP
ap-2015	146	20	istrail	istrail	NOUN
ap-2015	146	21	’s	’s	PART
ap-2015	146	22	substitution	substitution	NOUN
ap-2015	146	23	1	1	NUM
ap-2015	146	24	7→	7→	NUM
ap-2015	146	25	102	102	NUM
ap-2015	146	26	,	,	PUNCT
ap-2015	146	27	0	0	NUM
ap-2015	146	28	7→	7→	NUM
ap-2015	146	29	12	12	NUM
ap-2015	146	30	,	,	PUNCT
ap-2015	146	31	2	2	NUM
ap-2015	146	32	7→	7→	NUM
ap-2015	146	33	0	0	NUM
ap-2015	147	1	[	[	X
ap-2015	147	2	12	12	NUM
ap-2015	147	3	]	]	PUNCT
ap-2015	147	4	,	,	PUNCT
ap-2015	147	5	thus	thus	ADV
ap-2015	147	6	we	we	PRON
ap-2015	147	7	obtain	obtain	VERB
ap-2015	147	8	w1	w1	NOUN
ap-2015	147	9	from	from	ADP
ap-2015	147	10	ui	ui	NOUN
ap-2015	147	11	by	by	ADP
ap-2015	147	12	exchanging	exchange	VERB
ap-2015	147	13	letters	letter	NOUN
ap-2015	147	14	1	1	NUM
ap-2015	147	15	↔	↔	PROPN
ap-2015	147	16	2	2	NUM
ap-2015	147	17	,	,	PUNCT
ap-2015	147	18	2	2	NUM
ap-2015	147	19	↔	↔	PROPN
ap-2015	147	20	0	0	NUM
ap-2015	147	21	,	,	PUNCT
ap-2015	147	22	0	0	NUM
ap-2015	148	1	↔	↔	PROPN
ap-2015	148	2	1	1	NUM
ap-2015	148	3	.	.	PUNCT
ap-2015	149	1	then	then	ADV
ap-2015	149	2	,	,	PUNCT
ap-2015	149	3	of	of	ADP
ap-2015	149	4	course	course	NOUN
ap-2015	149	5	,	,	PUNCT
ap-2015	149	6	the	the	DET
ap-2015	149	7	factor	factor	NOUN
ap-2015	149	8	complexity	complexity	NOUN
ap-2015	149	9	of	of	ADP
ap-2015	149	10	ui	ui	PROPN
ap-2015	149	11	and	and	CCONJ
ap-2015	149	12	w1	w1	NOUN
ap-2015	149	13	is	be	AUX
ap-2015	149	14	the	the	DET
ap-2015	149	15	same	same	ADJ
ap-2015	149	16	.	.	PUNCT
ap-2015	150	1	the	the	DET
ap-2015	150	2	word	word	NOUN
ap-2015	150	3	ui	ui	NOUN
ap-2015	150	4	was	be	AUX
ap-2015	150	5	studied	study	VERB
ap-2015	150	6	in	in	ADP
ap-2015	150	7	[	[	X
ap-2015	150	8	13	13	NUM
ap-2015	150	9	]	]	PUNCT
ap-2015	150	10	,	,	PUNCT
ap-2015	150	11	where	where	SCONJ
ap-2015	150	12	its	its	PRON
ap-2015	150	13	factor	factor	NOUN
ap-2015	150	14	complexity	complexity	NOUN
ap-2015	150	15	is	be	AUX
ap-2015	150	16	computed	compute	VERB
ap-2015	150	17	using	use	VERB
ap-2015	150	18	the	the	DET
ap-2015	150	19	notion	notion	NOUN
ap-2015	150	20	of	of	ADP
ap-2015	150	21	(	(	PUNCT
ap-2015	150	22	right	right	ADJ
ap-2015	150	23	)	)	PUNCT
ap-2015	150	24	special	special	ADJ
ap-2015	150	25	factors	factor	NOUN
ap-2015	150	26	.	.	PUNCT
ap-2015	151	1	in	in	ADP
ap-2015	151	2	[	[	X
ap-2015	151	3	13	13	NUM
ap-2015	151	4	]	]	PUNCT
ap-2015	151	5	the	the	DET
ap-2015	151	6	sequence	sequence	NOUN
ap-2015	151	7	ui	ui	NOUN
ap-2015	151	8	is	be	AUX
ap-2015	151	9	referred	refer	VERB
ap-2015	151	10	to	to	ADP
ap-2015	151	11	as	as	ADP
ap-2015	151	12	the	the	DET
ap-2015	151	13	thuemorse	thuemorse	NOUN
ap-2015	151	14	word	word	NOUN
ap-2015	151	15	on	on	ADP
ap-2015	151	16	three	three	NUM
ap-2015	151	17	symbols	symbol	NOUN
ap-2015	151	18	and	and	CCONJ
ap-2015	151	19	as	as	SCONJ
ap-2015	151	20	it	it	PRON
ap-2015	151	21	is	be	AUX
ap-2015	151	22	recalled	recall	VERB
ap-2015	151	23	there	there	ADV
ap-2015	151	24	it	it	PRON
ap-2015	151	25	was	be	AUX
ap-2015	151	26	originally	originally	ADV
ap-2015	151	27	defined	define	VERB
ap-2015	151	28	by	by	ADP
ap-2015	151	29	thue	thue	PROPN
ap-2015	152	1	[	[	X
ap-2015	152	2	14	14	NUM
ap-2015	152	3	,	,	PUNCT
ap-2015	152	4	15	15	NUM
ap-2015	152	5	]	]	PUNCT
ap-2015	152	6	and	and	CCONJ
ap-2015	152	7	later	later	ADV
ap-2015	152	8	on	on	ADV
ap-2015	152	9	rediscovered	rediscovered	ADJ
ap-2015	152	10	in	in	ADP
ap-2015	152	11	various	various	ADJ
ap-2015	152	12	contexts	context	NOUN
ap-2015	152	13	by	by	ADP
ap-2015	152	14	several	several	ADJ
ap-2015	152	15	authors	author	NOUN
ap-2015	152	16	,	,	PUNCT
ap-2015	152	17	such	such	ADJ
ap-2015	152	18	as	as	ADP
ap-2015	152	19	morse	morse	NOUN
ap-2015	152	20	[	[	X
ap-2015	152	21	16	16	NUM
ap-2015	152	22	]	]	PUNCT
ap-2015	152	23	.	.	PUNCT
ap-2015	153	1	another	another	DET
ap-2015	153	2	relation	relation	NOUN
ap-2015	153	3	between	between	ADP
ap-2015	153	4	ui	ui	PROPN
ap-2015	153	5	and	and	CCONJ
ap-2015	153	6	utm	utm	PROPN
ap-2015	153	7	is	be	AUX
ap-2015	153	8	also	also	ADV
ap-2015	153	9	pointed	point	VERB
ap-2015	153	10	out	out	ADP
ap-2015	153	11	there	there	ADV
ap-2015	153	12	:	:	PUNCT
ap-2015	153	13	if	if	SCONJ
ap-2015	153	14	we	we	PRON
ap-2015	153	15	define	define	VERB
ap-2015	153	16	a	a	DET
ap-2015	153	17	(	(	PUNCT
ap-2015	153	18	non	non	ADJ
ap-2015	153	19	-	-	ADJ
ap-2015	153	20	primitive	primitive	ADJ
ap-2015	153	21	)	)	PUNCT
ap-2015	153	22	substitution	substitution	NOUN
ap-2015	153	23	δ(1	δ(1	NOUN
ap-2015	153	24	)	)	PUNCT
ap-2015	153	25	7→	7→	NUM
ap-2015	153	26	011	011	NUM
ap-2015	153	27	,	,	PUNCT
ap-2015	153	28	δ(0	δ(0	PROPN
ap-2015	153	29	)	)	PUNCT
ap-2015	153	30	7→	7→	NUM
ap-2015	153	31	01	01	NUM
ap-2015	153	32	,	,	PUNCT
ap-2015	153	33	δ(2	δ(2	PROPN
ap-2015	153	34	)	)	PUNCT
ap-2015	153	35	7→	7→	NOUN
ap-2015	153	36	0	0	NUM
ap-2015	153	37	,	,	PUNCT
ap-2015	153	38	we	we	PRON
ap-2015	153	39	have	have	VERB
ap-2015	153	40	δ(ui	δ(ui	PRON
ap-2015	153	41	)	)	PUNCT
ap-2015	154	1	=	=	SYM
ap-2015	154	2	utm	utm	PROPN
ap-2015	154	3	.	.	PUNCT
ap-2015	155	1	consequently	consequently	ADV
ap-2015	155	2	,	,	PUNCT
ap-2015	155	3	δ′(w1	δ′(w1	NOUN
ap-2015	155	4	)	)	PUNCT
ap-2015	156	1	=	=	SYM
ap-2015	156	2	utm	utm	PROPN
ap-2015	156	3	for	for	ADP
ap-2015	156	4	δ′(2	δ′(2	PROPN
ap-2015	156	5	)	)	PUNCT
ap-2015	156	6	7→	7→	NUM
ap-2015	156	7	011	011	NUM
ap-2015	156	8	,	,	PUNCT
ap-2015	156	9	δ′(1	δ′(1	PROPN
ap-2015	156	10	)	)	PUNCT
ap-2015	156	11	7→	7→	NUM
ap-2015	156	12	01	01	NUM
ap-2015	156	13	,	,	PUNCT
ap-2015	156	14	δ′(0	δ′(0	NOUN
ap-2015	156	15	)	)	PUNCT
ap-2015	156	16	7→	7→	NUM
ap-2015	156	17	0	0	NUM
ap-2015	156	18	.	.	PUNCT
ap-2015	157	1	acknowledgements	acknowledgement	NOUN
ap-2015	157	2	this	this	DET
ap-2015	157	3	work	work	NOUN
ap-2015	157	4	was	be	AUX
ap-2015	157	5	supported	support	VERB
ap-2015	157	6	by	by	ADP
ap-2015	157	7	the	the	DET
ap-2015	157	8	czech	czech	PROPN
ap-2015	157	9	science	science	PROPN
ap-2015	157	10	foundation	foundation	PROPN
ap-2015	157	11	grant	grant	PROPN
ap-2015	157	12	gačr	gačr	PROPN
ap-2015	157	13	13	13	NUM
ap-2015	157	14	-	-	SYM
ap-2015	157	15	35273p	35273p	NUM
ap-2015	157	16	.	.	PUNCT
ap-2015	158	1	references	reference	NOUN
ap-2015	158	2	[	[	X
ap-2015	158	3	1	1	NUM
ap-2015	158	4	]	]	PUNCT
ap-2015	158	5	j.-p	j.-p	PROPN
ap-2015	158	6	.	.	PUNCT
ap-2015	159	1	allouche	allouche	PROPN
ap-2015	159	2	,	,	PUNCT
ap-2015	159	3	et	et	PROPN
ap-2015	159	4	al	al	PROPN
ap-2015	159	5	.	.	PROPN
ap-2015	159	6	univoque	univoque	ADJ
ap-2015	159	7	numbers	number	NOUN
ap-2015	159	8	and	and	CCONJ
ap-2015	159	9	an	an	DET
ap-2015	159	10	avatar	avatar	NOUN
ap-2015	159	11	of	of	ADP
ap-2015	159	12	thue	thue	NOUN
ap-2015	159	13	-	-	PUNCT
ap-2015	159	14	morse	morse	PROPN
ap-2015	159	15	.	.	PUNCT
ap-2015	160	1	acta	acta	PROPN
ap-2015	160	2	arith	arith	PROPN
ap-2015	160	3	136:319–329	136:319–329	PROPN
ap-2015	160	4	,	,	PUNCT
ap-2015	160	5	2009	2009	NUM
ap-2015	160	6	.	.	PUNCT
ap-2015	161	1	[	[	X
ap-2015	161	2	2	2	X
ap-2015	161	3	]	]	PUNCT
ap-2015	161	4	v.	v.	CCONJ
ap-2015	161	5	komornik	komornik	PROPN
ap-2015	161	6	,	,	PUNCT
ap-2015	161	7	et	et	PROPN
ap-2015	161	8	al	al	PROPN
ap-2015	161	9	.	.	PROPN
ap-2015	162	1	unique	unique	ADJ
ap-2015	162	2	developments	development	NOUN
ap-2015	162	3	in	in	ADP
ap-2015	162	4	noninteger	noninteger	NOUN
ap-2015	162	5	bases	basis	NOUN
ap-2015	162	6	.	.	PUNCT
ap-2015	163	1	amer	amer	PROPN
ap-2015	163	2	math	math	PROPN
ap-2015	163	3	monthly	monthly	ADJ
ap-2015	163	4	105:636–639	105:636–639	NUM
ap-2015	163	5	,	,	PUNCT
ap-2015	163	6	1998	1998	NUM
ap-2015	163	7	.	.	PUNCT
ap-2015	164	1	[	[	X
ap-2015	164	2	3	3	NUM
ap-2015	164	3	]	]	X
ap-2015	164	4	j.-p	j.-p	PROPN
ap-2015	164	5	.	.	PUNCT
ap-2015	165	1	allouche	allouche	PROPN
ap-2015	165	2	,	,	PUNCT
ap-2015	165	3	et	et	PROPN
ap-2015	165	4	al	al	PROPN
ap-2015	165	5	.	.	PUNCT
ap-2015	166	1	the	the	DET
ap-2015	166	2	komornik	komornik	ADJ
ap-2015	166	3	-	-	PUNCT
ap-2015	166	4	loreti	loreti	ADJ
ap-2015	166	5	constant	constant	ADJ
ap-2015	166	6	is	be	AUX
ap-2015	166	7	transcendental	transcendental	ADJ
ap-2015	166	8	.	.	PUNCT
ap-2015	167	1	amer	amer	PROPN
ap-2015	167	2	math	math	PROPN
ap-2015	167	3	monthly	monthly	ADJ
ap-2015	167	4	107:448–449	107:448–449	PROPN
ap-2015	167	5	,	,	PUNCT
ap-2015	167	6	2000	2000	NUM
ap-2015	167	7	.	.	PUNCT
ap-2015	168	1	[	[	X
ap-2015	168	2	4	4	X
ap-2015	168	3	]	]	PUNCT
ap-2015	168	4	v.	v.	CCONJ
ap-2015	168	5	komornik	komornik	PROPN
ap-2015	168	6	,	,	PUNCT
ap-2015	168	7	et	et	PROPN
ap-2015	168	8	al	al	PROPN
ap-2015	168	9	.	.	PROPN
ap-2015	168	10	subexpansions	subexpansion	NOUN
ap-2015	168	11	,	,	PUNCT
ap-2015	168	12	superexpansions	superexpansion	NOUN
ap-2015	168	13	and	and	CCONJ
ap-2015	168	14	uniqueness	uniqueness	NOUN
ap-2015	168	15	properties	property	NOUN
ap-2015	168	16	in	in	ADP
ap-2015	168	17	non	non	ADJ
ap-2015	168	18	-	-	ADJ
ap-2015	168	19	integer	integer	ADJ
ap-2015	168	20	bases	basis	NOUN
ap-2015	168	21	.	.	PUNCT
ap-2015	169	1	period	period	NOUN
ap-2015	169	2	math	math	PROPN
ap-2015	169	3	hungar	hungar	PROPN
ap-2015	169	4	44:197–218	44:197–218	PROPN
ap-2015	169	5	,	,	PUNCT
ap-2015	169	6	2002	2002	NUM
ap-2015	169	7	.	.	PUNCT
ap-2015	170	1	[	[	X
ap-2015	170	2	5	5	X
ap-2015	170	3	]	]	PUNCT
ap-2015	170	4	m.	m.	NOUN
ap-2015	170	5	de	de	PROPN
ap-2015	170	6	vries	vries	PROPN
ap-2015	170	7	,	,	PUNCT
ap-2015	170	8	et	et	PROPN
ap-2015	170	9	al	al	PROPN
ap-2015	170	10	.	.	PROPN
ap-2015	171	1	unique	unique	ADJ
ap-2015	171	2	expansions	expansion	NOUN
ap-2015	171	3	of	of	ADP
ap-2015	171	4	real	real	ADJ
ap-2015	171	5	numbers	number	NOUN
ap-2015	171	6	.	.	PUNCT
ap-2015	172	1	adv	adv	PROPN
ap-2015	172	2	math	math	NOUN
ap-2015	172	3	221(2):390–427	221(2):390–427	NUM
ap-2015	172	4	,	,	PUNCT
ap-2015	172	5	2009	2009	NUM
ap-2015	172	6	.	.	PUNCT
ap-2015	173	1	[	[	X
ap-2015	173	2	6	6	NUM
ap-2015	173	3	]	]	PUNCT
ap-2015	173	4	j.	j.	PROPN
ap-2015	173	5	cassaigne	cassaigne	PROPN
ap-2015	173	6	.	.	PUNCT
ap-2015	174	1	special	special	ADJ
ap-2015	174	2	factors	factor	NOUN
ap-2015	174	3	of	of	ADP
ap-2015	174	4	sequences	sequence	NOUN
ap-2015	174	5	with	with	ADP
ap-2015	174	6	linear	linear	PROPN
ap-2015	174	7	subword	subword	PROPN
ap-2015	174	8	complexity	complexity	NOUN
ap-2015	174	9	.	.	PUNCT
ap-2015	175	1	in	in	ADP
ap-2015	175	2	developments	development	NOUN
ap-2015	175	3	in	in	ADP
ap-2015	175	4	language	language	NOUN
ap-2015	175	5	theory	theory	NOUN
ap-2015	175	6	,	,	PUNCT
ap-2015	175	7	pp	pp	ADP
ap-2015	175	8	.	.	PUNCT
ap-2015	175	9	25–34	25–34	NUM
ap-2015	175	10	.	.	PUNCT
ap-2015	176	1	world	world	NOUN
ap-2015	176	2	scientific	scientific	ADJ
ap-2015	176	3	,	,	PUNCT
ap-2015	176	4	1996	1996	NUM
ap-2015	176	5	.	.	PUNCT
ap-2015	177	1	[	[	X
ap-2015	177	2	7	7	NUM
ap-2015	177	3	]	]	PUNCT
ap-2015	177	4	a.	a.	NOUN
ap-2015	177	5	de	de	X
ap-2015	177	6	luca	luca	PROPN
ap-2015	177	7	.	.	PUNCT
ap-2015	178	1	on	on	ADP
ap-2015	178	2	some	some	DET
ap-2015	178	3	combinatorial	combinatorial	ADJ
ap-2015	178	4	problems	problem	NOUN
ap-2015	178	5	in	in	ADP
ap-2015	178	6	free	free	ADJ
ap-2015	178	7	monoids	monoid	NOUN
ap-2015	178	8	.	.	PUNCT
ap-2015	179	1	discrete	discrete	ADJ
ap-2015	179	2	math	math	NOUN
ap-2015	179	3	38:207–225	38:207–225	PROPN
ap-2015	179	4	,	,	PUNCT
ap-2015	179	5	1982	1982	NUM
ap-2015	179	6	.	.	PUNCT
ap-2015	180	1	[	[	X
ap-2015	180	2	8	8	NUM
ap-2015	180	3	]	]	X
ap-2015	180	4	s.	s.	PROPN
ap-2015	180	5	brlek	brlek	PROPN
ap-2015	180	6	.	.	PUNCT
ap-2015	181	1	enumeration	enumeration	NOUN
ap-2015	181	2	of	of	ADP
ap-2015	181	3	factors	factor	NOUN
ap-2015	181	4	in	in	ADP
ap-2015	181	5	the	the	DET
ap-2015	181	6	thue	thue	NOUN
ap-2015	181	7	-	-	PUNCT
ap-2015	181	8	morse	morse	NOUN
ap-2015	181	9	word	word	NOUN
ap-2015	181	10	.	.	PUNCT
ap-2015	182	1	discrete	discrete	ADJ
ap-2015	182	2	appl	appl	PROPN
ap-2015	182	3	math	math	PROPN
ap-2015	182	4	24:83–96	24:83–96	PROPN
ap-2015	182	5	,	,	PUNCT
ap-2015	182	6	1989	1989	NUM
ap-2015	182	7	.	.	PUNCT
ap-2015	183	1	[	[	X
ap-2015	183	2	9	9	NUM
ap-2015	183	3	]	]	PUNCT
ap-2015	183	4	a.	a.	NOUN
ap-2015	183	5	blondin	blondin	PROPN
ap-2015	183	6	-	-	PUNCT
ap-2015	183	7	massé	massé	PROPN
ap-2015	183	8	,	,	PUNCT
ap-2015	183	9	et	et	PROPN
ap-2015	183	10	al	al	PROPN
ap-2015	183	11	.	.	PROPN
ap-2015	183	12	palindromic	palindromic	PROPN
ap-2015	183	13	lacunas	lacuna	NOUN
ap-2015	183	14	of	of	ADP
ap-2015	183	15	the	the	DET
ap-2015	183	16	thue	thue	NOUN
ap-2015	183	17	-	-	PUNCT
ap-2015	183	18	morse	morse	NOUN
ap-2015	183	19	word	word	NOUN
ap-2015	183	20	.	.	PUNCT
ap-2015	184	1	proc	proc	NOUN
ap-2015	184	2	gascom	gascom	PROPN
ap-2015	184	3	2008	2008	NUM
ap-2015	184	4	pp	pp	ADJ
ap-2015	184	5	.	.	PUNCT
ap-2015	185	1	53–67	53–67	NUM
ap-2015	185	2	,	,	PUNCT
ap-2015	185	3	2008	2008	NUM
ap-2015	185	4	.	.	PUNCT
ap-2015	186	1	870	870	NUM
ap-2015	186	2	vol	vol	NOUN
ap-2015	186	3	.	.	PUNCT
ap-2015	187	1	53	53	NUM
ap-2015	187	2	no	no	NOUN
ap-2015	187	3	.	.	PUNCT
ap-2015	188	1	6/2013	6/2013	NUM
ap-2015	188	2	factor	factor	NOUN
ap-2015	188	3	and	and	CCONJ
ap-2015	188	4	palindromic	palindromic	ADJ
ap-2015	188	5	complexity	complexity	NOUN
ap-2015	188	6	of	of	ADP
ap-2015	188	7	thue	thue	PROPN
ap-2015	188	8	-	-	PUNCT
ap-2015	188	9	morse	morse	PROPN
ap-2015	188	10	’s	’s	PART
ap-2015	188	11	avatars	avatar	NOUN
ap-2015	189	1	[	[	X
ap-2015	189	2	10	10	NUM
ap-2015	189	3	]	]	PUNCT
ap-2015	189	4	j.-p	j.-p	PROPN
ap-2015	189	5	.	.	PUNCT
ap-2015	190	1	allouche	allouche	PROPN
ap-2015	190	2	,	,	PUNCT
ap-2015	190	3	et	et	PROPN
ap-2015	190	4	al	al	PROPN
ap-2015	190	5	.	.	PROPN
ap-2015	191	1	palindrome	palindrome	PROPN
ap-2015	191	2	complexity	complexity	NOUN
ap-2015	191	3	.	.	PUNCT
ap-2015	192	1	theor	theor	PROPN
ap-2015	192	2	comput	comput	PROPN
ap-2015	192	3	sci	sci	PROPN
ap-2015	192	4	292:9–31	292:9–31	NUM
ap-2015	192	5	,	,	PUNCT
ap-2015	192	6	2003	2003	NUM
ap-2015	192	7	.	.	PUNCT
ap-2015	193	1	[	[	X
ap-2015	193	2	11	11	NUM
ap-2015	193	3	]	]	X
ap-2015	193	4	c.	c.	PROPN
ap-2015	193	5	h.	h.	PROPN
ap-2015	193	6	braunholtz	braunholtz	PROPN
ap-2015	193	7	.	.	PUNCT
ap-2015	194	1	an	an	DET
ap-2015	194	2	infinite	infinite	ADJ
ap-2015	194	3	sequence	sequence	NOUN
ap-2015	194	4	on	on	ADP
ap-2015	194	5	3	3	NUM
ap-2015	194	6	symbols	symbol	NOUN
ap-2015	194	7	with	with	ADP
ap-2015	194	8	no	no	DET
ap-2015	194	9	adjacent	adjacent	ADJ
ap-2015	194	10	repeats	repeat	NOUN
ap-2015	194	11	,	,	PUNCT
ap-2015	194	12	(	(	PUNCT
ap-2015	194	13	solution	solution	NOUN
ap-2015	194	14	to	to	PART
ap-2015	194	15	problem	problem	VERB
ap-2015	194	16	439	439	NUM
ap-2015	194	17	posed	pose	VERB
ap-2015	194	18	by	by	ADP
ap-2015	194	19	h.	h.	PROPN
ap-2015	194	20	noland	noland	PROPN
ap-2015	194	21	)	)	PUNCT
ap-2015	194	22	.	.	PUNCT
ap-2015	195	1	amer	amer	PROPN
ap-2015	195	2	math	math	PROPN
ap-2015	195	3	monthly	monthly	ADJ
ap-2015	195	4	70:675–676	70:675–676	NUM
ap-2015	195	5	,	,	PUNCT
ap-2015	195	6	1963	1963	NUM
ap-2015	195	7	.	.	PUNCT
ap-2015	196	1	[	[	X
ap-2015	196	2	12	12	NUM
ap-2015	196	3	]	]	X
ap-2015	196	4	s.	s.	PROPN
ap-2015	196	5	istrail	istrail	PROPN
ap-2015	196	6	.	.	PUNCT
ap-2015	197	1	on	on	ADP
ap-2015	197	2	irreducible	irreducible	ADJ
ap-2015	197	3	languages	language	NOUN
ap-2015	197	4	and	and	CCONJ
ap-2015	197	5	nonrational	nonrational	ADJ
ap-2015	197	6	numbers	number	NOUN
ap-2015	197	7	.	.	PUNCT
ap-2015	198	1	bull	bull	NOUN
ap-2015	198	2	math	math	PROPN
ap-2015	198	3	soc	soc	NOUN
ap-2015	198	4	sci	sci	PROPN
ap-2015	198	5	math	math	PROPN
ap-2015	198	6	r	r	PROPN
ap-2015	198	7	s	s	PROPN
ap-2015	198	8	roumanie	roumanie	PROPN
ap-2015	198	9	21:301–308	21:301–308	PROPN
ap-2015	198	10	.	.	PROPN
ap-2015	198	11	,	,	PUNCT
ap-2015	198	12	1977	1977	NUM
ap-2015	198	13	.	.	PUNCT
ap-2015	199	1	[	[	X
ap-2015	199	2	13	13	NUM
ap-2015	199	3	]	]	PUNCT
ap-2015	199	4	a.	a.	NOUN
ap-2015	199	5	de	de	X
ap-2015	199	6	luca	luca	PROPN
ap-2015	199	7	,	,	PUNCT
ap-2015	199	8	et	et	PROPN
ap-2015	199	9	al	al	PROPN
ap-2015	199	10	.	.	PROPN
ap-2015	200	1	on	on	ADP
ap-2015	200	2	the	the	DET
ap-2015	200	3	factors	factor	NOUN
ap-2015	200	4	of	of	ADP
ap-2015	200	5	the	the	DET
ap-2015	200	6	thue	thue	NOUN
ap-2015	200	7	-	-	PUNCT
ap-2015	200	8	morse	morse	NOUN
ap-2015	200	9	word	word	NOUN
ap-2015	200	10	on	on	ADP
ap-2015	200	11	three	three	NUM
ap-2015	200	12	symbols	symbol	NOUN
ap-2015	200	13	.	.	PUNCT
ap-2015	201	1	inform	inform	NOUN
ap-2015	201	2	process	process	NOUN
ap-2015	201	3	lett	lett	PROPN
ap-2015	201	4	27(6):281–285	27(6):281–285	PROPN
ap-2015	201	5	,	,	PUNCT
ap-2015	201	6	1988	1988	NUM
ap-2015	201	7	.	.	PUNCT
ap-2015	202	1	[	[	X
ap-2015	202	2	14	14	NUM
ap-2015	202	3	]	]	PUNCT
ap-2015	202	4	a.	a.	NOUN
ap-2015	202	5	thue	thue	PROPN
ap-2015	202	6	.	.	PUNCT
ap-2015	203	1	über	über	PROPN
ap-2015	203	2	unendliche	unendliche	PROPN
ap-2015	203	3	zeichenreihen	zeichenreihen	PROPN
ap-2015	203	4	.	.	PUNCT
ap-2015	204	1	norske	norske	PROPN
ap-2015	204	2	vid	vid	PROPN
ap-2015	204	3	skrifter	skrifter	NOUN
ap-2015	204	4	i	i	PRON
ap-2015	204	5	mat	mat	NOUN
ap-2015	204	6	-	-	PUNCT
ap-2015	204	7	nat	nat	NOUN
ap-2015	204	8	kl	kl	PROPN
ap-2015	204	9	chris	chris	PROPN
ap-2015	204	10	7:1–22	7:1–22	PROPN
ap-2015	204	11	,	,	PUNCT
ap-2015	204	12	1906	1906	NUM
ap-2015	204	13	.	.	PUNCT
ap-2015	205	1	[	[	X
ap-2015	205	2	15	15	NUM
ap-2015	205	3	]	]	X
ap-2015	205	4	a.	a.	NOUN
ap-2015	205	5	thue	thue	PROPN
ap-2015	205	6	.	.	PUNCT
ap-2015	206	1	über	über	PROPN
ap-2015	206	2	die	die	VERB
ap-2015	206	3	gegenseitige	gegenseitige	PROPN
ap-2015	206	4	lage	lage	NOUN
ap-2015	206	5	gleicher	gleicher	NOUN
ap-2015	206	6	teile	teile	PROPN
ap-2015	206	7	gewisser	gewisser	NOUN
ap-2015	206	8	zeichenreihen	zeichenreihen	PROPN
ap-2015	206	9	.	.	PUNCT
ap-2015	207	1	norske	norske	PROPN
ap-2015	207	2	vid	vid	PROPN
ap-2015	207	3	skrifter	skrifter	NOUN
ap-2015	207	4	i	i	PRON
ap-2015	207	5	mat	mat	NOUN
ap-2015	207	6	-	-	PUNCT
ap-2015	207	7	nat	nat	NOUN
ap-2015	207	8	kl	kl	PROPN
ap-2015	207	9	chris	chris	PROPN
ap-2015	207	10	8:1–67	8:1–67	NUM
ap-2015	207	11	,	,	PUNCT
ap-2015	207	12	1912	1912	NUM
ap-2015	207	13	.	.	PUNCT
ap-2015	208	1	[	[	X
ap-2015	208	2	16	16	NUM
ap-2015	208	3	]	]	PUNCT
ap-2015	208	4	m.	m.	NOUN
ap-2015	208	5	morse	morse	PROPN
ap-2015	208	6	,	,	PUNCT
ap-2015	208	7	et	et	PROPN
ap-2015	208	8	al	al	PROPN
ap-2015	208	9	.	.	PROPN
ap-2015	208	10	unending	unende	VERB
ap-2015	208	11	chess	chess	NOUN
ap-2015	208	12	,	,	PUNCT
ap-2015	208	13	symbolic	symbolic	ADJ
ap-2015	208	14	dynamics	dynamic	NOUN
ap-2015	208	15	and	and	CCONJ
ap-2015	208	16	a	a	DET
ap-2015	208	17	problem	problem	NOUN
ap-2015	208	18	in	in	ADP
ap-2015	208	19	semigroups	semigroup	NOUN
ap-2015	208	20	.	.	PUNCT
ap-2015	209	1	duke	duke	PROPN
ap-2015	209	2	math	math	PROPN
ap-2015	209	3	j	j	PROPN
ap-2015	209	4	11:1–7	11:1–7	NUM
ap-2015	209	5	,	,	PUNCT
ap-2015	209	6	1944	1944	NUM
ap-2015	209	7	.	.	PUNCT
ap-2015	210	1	871	871	NUM
ap-2015	210	2	acta	acta	PROPN
ap-2015	210	3	polytechnica	polytechnica	PROPN
ap-2015	210	4	53(6):868–871	53(6):868–871	PROPN
ap-2015	210	5	,	,	PUNCT
ap-2015	210	6	2013	2013	NUM
ap-2015	210	7	1	1	NUM
ap-2015	210	8	introduction	introduction	NOUN
ap-2015	210	9	2	2	NUM
ap-2015	210	10	preliminaries	preliminary	NOUN
ap-2015	210	11	3	3	NUM
ap-2015	210	12	factor	factor	NOUN
ap-2015	210	13	complexity	complexity	NOUN
ap-2015	210	14	4	4	NUM
ap-2015	210	15	palindromic	palindromic	ADJ
ap-2015	210	16	complexity	complexity	NOUN
ap-2015	210	17	5	5	NUM
ap-2015	210	18	remarks	remark	VERB
ap-2015	210	19	acknowledgements	acknowledgement	NOUN
ap-2015	210	20	references	reference	NOUN