id	sid	tid	token	lemma	pos
aiti-13599	1	1	microsoft	microsoft	PROPN
aiti-13599	1	2	word	word	NOUN
aiti-13599	1	3	7	7	NUM
aiti-13599	1	4	-	-	PUNCT
aiti-13599	1	5	v9n3(2024)-aiti#13599(239	v9n3(2024)-aiti#13599(239	NUM
aiti-13599	1	6	-	-	PUNCT
aiti-13599	1	7	255).docx	255).docx	NUM
aiti-13599	1	8	advances	advance	NOUN
aiti-13599	1	9	in	in	ADP
aiti-13599	1	10	technology	technology	NOUN
aiti-13599	1	11	innovation	innovation	NOUN
aiti-13599	1	12	,	,	PUNCT
aiti-13599	1	13	vol	vol	NOUN
aiti-13599	1	14	.	.	PROPN
aiti-13599	1	15	9	9	NUM
aiti-13599	1	16	,	,	PUNCT
aiti-13599	1	17	no	no	INTJ
aiti-13599	1	18	.	.	NOUN
aiti-13599	1	19	3	3	NUM
aiti-13599	1	20	,	,	PUNCT
aiti-13599	1	21	2024	2024	NUM
aiti-13599	1	22	,	,	PUNCT
aiti-13599	1	23	pp	pp	ADV
aiti-13599	1	24	.	.	PUNCT
aiti-13599	2	1	239	239	NUM
aiti-13599	2	2	-	-	SYM
aiti-13599	2	3	255	255	NUM
aiti-13599	2	4	english	english	ADJ
aiti-13599	2	5	language	language	NOUN
aiti-13599	2	6	proofreader	proofreader	NOUN
aiti-13599	2	7	:	:	PUNCT
aiti-13599	2	8	chih	chih	PROPN
aiti-13599	2	9	-	-	PUNCT
aiti-13599	2	10	wen	wen	PROPN
aiti-13599	2	11	teng	teng	PROPN
aiti-13599	2	12	a	a	DET
aiti-13599	2	13	novel	novel	ADJ
aiti-13599	2	14	approach	approach	NOUN
aiti-13599	2	15	to	to	PART
aiti-13599	2	16	construct	construct	VERB
aiti-13599	2	17	finite	finite	ADJ
aiti-13599	2	18	automata	automata	NOUN
aiti-13599	2	19	using	use	VERB
aiti-13599	2	20	grid	grid	NOUN
aiti-13599	2	21	and	and	CCONJ
aiti-13599	2	22	product	product	NOUN
aiti-13599	2	23	automata	automata	NOUN
aiti-13599	2	24	rupam	rupam	NOUN
aiti-13599	2	25	nag	nag	VERB
aiti-13599	2	26	,	,	PUNCT
aiti-13599	2	27	dibyendu	dibyendu	NOUN
aiti-13599	2	28	barman	barman	NOUN
aiti-13599	2	29	*	*	PROPN
aiti-13599	2	30	,	,	PUNCT
aiti-13599	2	31	abul	abul	PROPN
aiti-13599	2	32	hasnat	hasnat	PROPN
aiti-13599	2	33	department	department	PROPN
aiti-13599	2	34	of	of	ADP
aiti-13599	2	35	computer	computer	NOUN
aiti-13599	2	36	science	science	NOUN
aiti-13599	2	37	and	and	CCONJ
aiti-13599	2	38	engineering	engineering	NOUN
aiti-13599	2	39	,	,	PUNCT
aiti-13599	2	40	government	government	NOUN
aiti-13599	2	41	college	college	NOUN
aiti-13599	2	42	of	of	ADP
aiti-13599	2	43	engineering	engineering	NOUN
aiti-13599	2	44	and	and	CCONJ
aiti-13599	2	45	textile	textile	NOUN
aiti-13599	2	46	technology	technology	NOUN
aiti-13599	2	47	,	,	PUNCT
aiti-13599	2	48	berhampore	berhampore	INTJ
aiti-13599	2	49	,	,	PUNCT
aiti-13599	2	50	wb	wb	PROPN
aiti-13599	2	51	,	,	PUNCT
aiti-13599	2	52	india	india	PROPN
aiti-13599	2	53	received	receive	VERB
aiti-13599	2	54	19	19	NUM
aiti-13599	2	55	april	april	PROPN
aiti-13599	2	56	2024	2024	NUM
aiti-13599	2	57	;	;	PUNCT
aiti-13599	2	58	received	receive	VERB
aiti-13599	2	59	in	in	ADP
aiti-13599	2	60	revised	revise	VERB
aiti-13599	2	61	form	form	NOUN
aiti-13599	2	62	14	14	NUM
aiti-13599	2	63	june	june	PROPN
aiti-13599	2	64	2024	2024	NUM
aiti-13599	2	65	;	;	PUNCT
aiti-13599	2	66	accepted	accept	VERB
aiti-13599	2	67	17	17	NUM
aiti-13599	2	68	june	june	PROPN
aiti-13599	2	69	2024	2024	NUM
aiti-13599	2	70	doi	doi	NOUN
aiti-13599	2	71	:	:	PUNCT
aiti-13599	2	72	https://doi.org/10.46604/aiti.2024.13599	https://doi.org/10.46604/aiti.2024.13599	PROPN
aiti-13599	2	73	abstract	abstract	NOUN
aiti-13599	2	74	this	this	DET
aiti-13599	2	75	research	research	NOUN
aiti-13599	2	76	aims	aim	VERB
aiti-13599	2	77	to	to	PART
aiti-13599	2	78	utilize	utilize	VERB
aiti-13599	2	79	an	an	DET
aiti-13599	2	80	organized	organize	VERB
aiti-13599	2	81	grid	grid	NOUN
aiti-13599	2	82	-	-	PUNCT
aiti-13599	2	83	based	base	VERB
aiti-13599	2	84	strategy	strategy	NOUN
aiti-13599	2	85	to	to	PART
aiti-13599	2	86	make	make	VERB
aiti-13599	2	87	the	the	DET
aiti-13599	2	88	development	development	NOUN
aiti-13599	2	89	of	of	ADP
aiti-13599	2	90	complex	complex	ADJ
aiti-13599	2	91	finite	finite	ADJ
aiti-13599	2	92	automata	automata	NOUN
aiti-13599	2	93	easier	easy	ADJ
aiti-13599	2	94	.	.	PUNCT
aiti-13599	3	1	product	product	NOUN
aiti-13599	3	2	automata	automata	NOUN
aiti-13599	3	3	are	be	AUX
aiti-13599	3	4	used	use	VERB
aiti-13599	3	5	to	to	PART
aiti-13599	3	6	merge	merge	VERB
aiti-13599	3	7	many	many	ADJ
aiti-13599	3	8	automata	automata	NOUN
aiti-13599	3	9	into	into	ADP
aiti-13599	3	10	a	a	DET
aiti-13599	3	11	single	single	ADJ
aiti-13599	3	12	automaton	automaton	NOUN
aiti-13599	3	13	to	to	PART
aiti-13599	3	14	integrate	integrate	VERB
aiti-13599	3	15	various	various	ADJ
aiti-13599	3	16	computing	computing	NOUN
aiti-13599	3	17	processes	process	NOUN
aiti-13599	3	18	.	.	PUNCT
aiti-13599	4	1	combining	combine	VERB
aiti-13599	4	2	these	these	DET
aiti-13599	4	3	methodologies	methodology	NOUN
aiti-13599	4	4	provides	provide	VERB
aiti-13599	4	5	novel	novel	ADJ
aiti-13599	4	6	methods	method	NOUN
aiti-13599	4	7	of	of	ADP
aiti-13599	4	8	improving	improve	VERB
aiti-13599	4	9	the	the	DET
aiti-13599	4	10	scalability	scalability	NOUN
aiti-13599	4	11	and	and	CCONJ
aiti-13599	4	12	efficiency	efficiency	NOUN
aiti-13599	4	13	of	of	ADP
aiti-13599	4	14	automata	automata	NOUN
aiti-13599	4	15	building	building	NOUN
aiti-13599	4	16	,	,	PUNCT
aiti-13599	4	17	broadening	broaden	VERB
aiti-13599	4	18	the	the	DET
aiti-13599	4	19	field	field	NOUN
aiti-13599	4	20	of	of	ADP
aiti-13599	4	21	research	research	NOUN
aiti-13599	4	22	for	for	ADP
aiti-13599	4	23	automata	automata	NOUN
aiti-13599	4	24	theory	theory	NOUN
aiti-13599	4	25	and	and	CCONJ
aiti-13599	4	26	its	its	PRON
aiti-13599	4	27	applications	application	NOUN
aiti-13599	4	28	.	.	PUNCT
aiti-13599	5	1	the	the	DET
aiti-13599	5	2	scalability	scalability	NOUN
aiti-13599	5	3	of	of	ADP
aiti-13599	5	4	this	this	DET
aiti-13599	5	5	developed	develop	VERB
aiti-13599	5	6	automated	automate	VERB
aiti-13599	5	7	system	system	NOUN
aiti-13599	5	8	will	will	AUX
aiti-13599	5	9	benefit	benefit	VERB
aiti-13599	5	10	sectors	sector	NOUN
aiti-13599	5	11	such	such	ADJ
aiti-13599	5	12	as	as	ADP
aiti-13599	5	13	automotive	automotive	ADJ
aiti-13599	5	14	production	production	NOUN
aiti-13599	5	15	and	and	CCONJ
aiti-13599	5	16	logistics	logistic	NOUN
aiti-13599	5	17	.	.	PUNCT
aiti-13599	6	1	the	the	DET
aiti-13599	6	2	results	result	NOUN
aiti-13599	6	3	indicate	indicate	VERB
aiti-13599	6	4	considerable	considerable	ADJ
aiti-13599	6	5	improvements	improvement	NOUN
aiti-13599	6	6	in	in	ADP
aiti-13599	6	7	construction	construction	NOUN
aiti-13599	6	8	time	time	NOUN
aiti-13599	6	9	,	,	PUNCT
aiti-13599	6	10	memory	memory	NOUN
aiti-13599	6	11	usage	usage	NOUN
aiti-13599	6	12	,	,	PUNCT
aiti-13599	6	13	scalability	scalability	NOUN
aiti-13599	6	14	,	,	PUNCT
aiti-13599	6	15	and	and	CCONJ
aiti-13599	6	16	resilience	resilience	NOUN
aiti-13599	6	17	compared	compare	VERB
aiti-13599	6	18	to	to	ADP
aiti-13599	6	19	older	old	ADJ
aiti-13599	6	20	approaches	approach	NOUN
aiti-13599	6	21	.	.	PUNCT
aiti-13599	7	1	the	the	DET
aiti-13599	7	2	performance	performance	NOUN
aiti-13599	7	3	of	of	ADP
aiti-13599	7	4	the	the	DET
aiti-13599	7	5	developed	develop	VERB
aiti-13599	7	6	method	method	NOUN
aiti-13599	7	7	,	,	PUNCT
aiti-13599	7	8	as	as	SCONJ
aiti-13599	7	9	measured	measure	VERB
aiti-13599	7	10	by	by	ADP
aiti-13599	7	11	construction	construction	NOUN
aiti-13599	7	12	time	time	NOUN
aiti-13599	7	13	,	,	PUNCT
aiti-13599	7	14	memory	memory	NOUN
aiti-13599	7	15	utilization	utilization	NOUN
aiti-13599	7	16	,	,	PUNCT
aiti-13599	7	17	scalability	scalability	NOUN
aiti-13599	7	18	,	,	PUNCT
aiti-13599	7	19	robustness	robustness	NOUN
aiti-13599	7	20	,	,	PUNCT
aiti-13599	7	21	application	application	NOUN
aiti-13599	7	22	range	range	NOUN
aiti-13599	7	23	,	,	PUNCT
aiti-13599	7	24	and	and	CCONJ
aiti-13599	7	25	complexity	complexity	NOUN
aiti-13599	7	26	,	,	PUNCT
aiti-13599	7	27	is	be	AUX
aiti-13599	7	28	25	25	NUM
aiti-13599	7	29	%	%	NOUN
aiti-13599	7	30	to	to	PART
aiti-13599	7	31	50	50	NUM
aiti-13599	7	32	%	%	NOUN
aiti-13599	7	33	higher	high	ADJ
aiti-13599	7	34	than	than	ADP
aiti-13599	7	35	that	that	PRON
aiti-13599	7	36	of	of	ADP
aiti-13599	7	37	traditional	traditional	ADJ
aiti-13599	7	38	methodologies	methodology	NOUN
aiti-13599	7	39	in	in	ADP
aiti-13599	7	40	the	the	DET
aiti-13599	7	41	literature	literature	NOUN
aiti-13599	7	42	.	.	PUNCT
aiti-13599	8	1	keywords	keyword	NOUN
aiti-13599	8	2	:	:	PUNCT
aiti-13599	8	3	dfa	dfa	PROPN
aiti-13599	8	4	,	,	PUNCT
aiti-13599	8	5	nfa	nfa	PROPN
aiti-13599	8	6	,	,	PUNCT
aiti-13599	8	7	grid	grid	NOUN
aiti-13599	8	8	,	,	PUNCT
aiti-13599	8	9	product	product	NOUN
aiti-13599	8	10	automata	automata	NOUN
aiti-13599	8	11	1	1	NUM
aiti-13599	8	12	.	.	PUNCT
aiti-13599	8	13	introduction	introduction	NOUN
aiti-13599	8	14	the	the	DET
aiti-13599	8	15	theory	theory	NOUN
aiti-13599	8	16	of	of	ADP
aiti-13599	8	17	computation	computation	NOUN
aiti-13599	8	18	is	be	AUX
aiti-13599	8	19	divided	divide	VERB
aiti-13599	8	20	into	into	ADP
aiti-13599	8	21	three	three	NUM
aiti-13599	8	22	areas	area	NOUN
aiti-13599	8	23	:	:	PUNCT
aiti-13599	8	24	computational	computational	ADJ
aiti-13599	8	25	complexity	complexity	NOUN
aiti-13599	8	26	theory	theory	NOUN
aiti-13599	8	27	,	,	PUNCT
aiti-13599	8	28	computability	computability	NOUN
aiti-13599	8	29	theory	theory	NOUN
aiti-13599	8	30	,	,	PUNCT
aiti-13599	8	31	and	and	CCONJ
aiti-13599	8	32	automata	automata	NOUN
aiti-13599	8	33	theory	theory	NOUN
aiti-13599	8	34	.	.	PUNCT
aiti-13599	9	1	these	these	DET
aiti-13599	9	2	branches	branch	NOUN
aiti-13599	9	3	are	be	AUX
aiti-13599	9	4	the	the	DET
aiti-13599	9	5	foundation	foundation	NOUN
aiti-13599	9	6	for	for	ADP
aiti-13599	9	7	research	research	NOUN
aiti-13599	9	8	into	into	ADP
aiti-13599	9	9	algorithms	algorithm	NOUN
aiti-13599	9	10	,	,	PUNCT
aiti-13599	9	11	mathematical	mathematical	ADJ
aiti-13599	9	12	aspects	aspect	NOUN
aiti-13599	9	13	of	of	ADP
aiti-13599	9	14	computational	computational	ADJ
aiti-13599	9	15	models	model	NOUN
aiti-13599	9	16	,	,	PUNCT
aiti-13599	9	17	and	and	CCONJ
aiti-13599	9	18	computability	computability	NOUN
aiti-13599	9	19	limitations	limitation	NOUN
aiti-13599	9	20	.	.	PUNCT
aiti-13599	10	1	automaton	automaton	PROPN
aiti-13599	10	2	theory	theory	NOUN
aiti-13599	10	3	is	be	AUX
aiti-13599	10	4	concerned	concern	VERB
aiti-13599	10	5	with	with	ADP
aiti-13599	10	6	abstract	abstract	ADJ
aiti-13599	10	7	machines	machine	NOUN
aiti-13599	10	8	and	and	CCONJ
aiti-13599	10	9	their	their	PRON
aiti-13599	10	10	various	various	ADJ
aiti-13599	10	11	forms	form	NOUN
aiti-13599	10	12	,	,	PUNCT
aiti-13599	10	13	such	such	ADJ
aiti-13599	10	14	as	as	ADP
aiti-13599	10	15	finite	finite	ADJ
aiti-13599	10	16	state	state	NOUN
aiti-13599	10	17	automata	automata	NOUN
aiti-13599	10	18	,	,	PUNCT
aiti-13599	10	19	pushdown	pushdown	ADJ
aiti-13599	10	20	automata	automata	NOUN
aiti-13599	10	21	,	,	PUNCT
aiti-13599	10	22	and	and	CCONJ
aiti-13599	10	23	turing	ture	VERB
aiti-13599	10	24	machines	machine	NOUN
aiti-13599	10	25	.	.	PUNCT
aiti-13599	11	1	each	each	PRON
aiti-13599	11	2	is	be	AUX
aiti-13599	11	3	defined	define	VERB
aiti-13599	11	4	by	by	ADP
aiti-13599	11	5	specific	specific	ADJ
aiti-13599	11	6	components	component	NOUN
aiti-13599	11	7	such	such	ADJ
aiti-13599	11	8	as	as	ADP
aiti-13599	11	9	states	state	NOUN
aiti-13599	11	10	,	,	PUNCT
aiti-13599	11	11	input	input	NOUN
aiti-13599	11	12	alphabets	alphabet	NOUN
aiti-13599	11	13	,	,	PUNCT
aiti-13599	11	14	transition	transition	NOUN
aiti-13599	11	15	functions	function	NOUN
aiti-13599	11	16	,	,	PUNCT
aiti-13599	11	17	start	start	VERB
aiti-13599	11	18	states	state	NOUN
aiti-13599	11	19	,	,	PUNCT
aiti-13599	11	20	and	and	CCONJ
aiti-13599	11	21	accepting	accept	VERB
aiti-13599	11	22	states	state	NOUN
aiti-13599	11	23	,	,	PUNCT
aiti-13599	11	24	which	which	PRON
aiti-13599	11	25	are	be	AUX
aiti-13599	11	26	necessary	necessary	ADJ
aiti-13599	11	27	for	for	ADP
aiti-13599	11	28	understanding	understand	VERB
aiti-13599	11	29	computation	computation	NOUN
aiti-13599	11	30	.	.	PUNCT
aiti-13599	12	1	finite	finite	PROPN
aiti-13599	12	2	state	state	NOUN
aiti-13599	12	3	automata	automata	NOUN
aiti-13599	12	4	are	be	AUX
aiti-13599	12	5	classified	classify	VERB
aiti-13599	12	6	as	as	ADP
aiti-13599	12	7	deterministic	deterministic	ADJ
aiti-13599	12	8	finite	finite	NOUN
aiti-13599	12	9	automata	automata	NOUN
aiti-13599	12	10	(	(	PUNCT
aiti-13599	12	11	dfa	dfa	NOUN
aiti-13599	12	12	)	)	PUNCT
aiti-13599	12	13	or	or	CCONJ
aiti-13599	12	14	non	non	ADJ
aiti-13599	12	15	-	-	ADJ
aiti-13599	12	16	deterministic	deterministic	ADJ
aiti-13599	12	17	finite	finite	NOUN
aiti-13599	12	18	automata	automata	NOUN
aiti-13599	12	19	(	(	PUNCT
aiti-13599	12	20	nfa	nfa	PROPN
aiti-13599	12	21	)	)	PUNCT
aiti-13599	12	22	,	,	PUNCT
aiti-13599	12	23	with	with	ADP
aiti-13599	12	24	representations	representation	NOUN
aiti-13599	12	25	such	such	ADJ
aiti-13599	12	26	as	as	ADP
aiti-13599	12	27	transition	transition	NOUN
aiti-13599	12	28	diagrams	diagram	NOUN
aiti-13599	12	29	or	or	CCONJ
aiti-13599	12	30	transition	transition	NOUN
aiti-13599	12	31	tables	table	NOUN
aiti-13599	12	32	explaining	explain	VERB
aiti-13599	12	33	their	their	PRON
aiti-13599	12	34	behavior	behavior	NOUN
aiti-13599	12	35	.	.	PUNCT
aiti-13599	13	1	automata	automata	PROPN
aiti-13599	13	2	theory	theory	NOUN
aiti-13599	13	3	extends	extend	VERB
aiti-13599	13	4	beyond	beyond	ADP
aiti-13599	13	5	representation	representation	NOUN
aiti-13599	13	6	,	,	PUNCT
aiti-13599	13	7	with	with	ADP
aiti-13599	13	8	applications	application	NOUN
aiti-13599	13	9	in	in	ADP
aiti-13599	13	10	formal	formal	ADJ
aiti-13599	13	11	language	language	NOUN
aiti-13599	13	12	theory	theory	NOUN
aiti-13599	13	13	,	,	PUNCT
aiti-13599	13	14	compiler	compiler	NOUN
aiti-13599	13	15	building	building	NOUN
aiti-13599	13	16	,	,	PUNCT
aiti-13599	13	17	and	and	CCONJ
aiti-13599	13	18	software	software	NOUN
aiti-13599	13	19	verification	verification	NOUN
aiti-13599	13	20	,	,	PUNCT
aiti-13599	13	21	all	all	PRON
aiti-13599	13	22	of	of	ADP
aiti-13599	13	23	which	which	PRON
aiti-13599	13	24	help	help	VERB
aiti-13599	13	25	solve	solve	VERB
aiti-13599	13	26	complicated	complicated	ADJ
aiti-13599	13	27	computational	computational	ADJ
aiti-13599	13	28	issues	issue	NOUN
aiti-13599	13	29	.	.	PUNCT
aiti-13599	14	1	specifically	specifically	ADV
aiti-13599	14	2	,	,	PUNCT
aiti-13599	14	3	grid	grid	NOUN
aiti-13599	14	4	automata	automata	NOUN
aiti-13599	14	5	and	and	CCONJ
aiti-13599	14	6	product	product	NOUN
aiti-13599	14	7	automata	automata	NOUN
aiti-13599	14	8	are	be	AUX
aiti-13599	14	9	effective	effective	ADJ
aiti-13599	14	10	approaches	approach	NOUN
aiti-13599	14	11	for	for	ADP
aiti-13599	14	12	generating	generate	VERB
aiti-13599	14	13	finite	finite	ADJ
aiti-13599	14	14	automata	automata	NOUN
aiti-13599	14	15	:	:	PUNCT
aiti-13599	14	16	grid	grid	NOUN
aiti-13599	14	17	automata	automata	NOUN
aiti-13599	14	18	organize	organize	VERB
aiti-13599	14	19	states	state	NOUN
aiti-13599	14	20	in	in	ADP
aiti-13599	14	21	an	an	DET
aiti-13599	14	22	organized	organize	VERB
aiti-13599	14	23	grid	grid	NOUN
aiti-13599	14	24	-	-	PUNCT
aiti-13599	14	25	like	like	ADJ
aiti-13599	14	26	pattern	pattern	NOUN
aiti-13599	14	27	,	,	PUNCT
aiti-13599	14	28	simplifying	simplify	VERB
aiti-13599	14	29	construction	construction	NOUN
aiti-13599	14	30	and	and	CCONJ
aiti-13599	14	31	maintaining	maintain	VERB
aiti-13599	14	32	accuracy	accuracy	NOUN
aiti-13599	14	33	,	,	PUNCT
aiti-13599	14	34	whereas	whereas	SCONJ
aiti-13599	14	35	product	product	NOUN
aiti-13599	14	36	automata	automata	NOUN
aiti-13599	14	37	combine	combine	VERB
aiti-13599	14	38	several	several	ADJ
aiti-13599	14	39	automata	automata	NOUN
aiti-13599	14	40	into	into	ADP
aiti-13599	14	41	composite	composite	ADJ
aiti-13599	14	42	structures	structure	NOUN
aiti-13599	14	43	using	use	VERB
aiti-13599	14	44	cartesian	cartesian	ADJ
aiti-13599	14	45	products	product	NOUN
aiti-13599	14	46	,	,	PUNCT
aiti-13599	14	47	allowing	allow	VERB
aiti-13599	14	48	for	for	ADP
aiti-13599	14	49	efficient	efficient	ADJ
aiti-13599	14	50	description	description	NOUN
aiti-13599	14	51	of	of	ADP
aiti-13599	14	52	complicated	complicated	ADJ
aiti-13599	14	53	systems	system	NOUN
aiti-13599	14	54	.	.	PUNCT
aiti-13599	15	1	this	this	DET
aiti-13599	15	2	investigation	investigation	NOUN
aiti-13599	15	3	emphasizes	emphasize	VERB
aiti-13599	15	4	the	the	DET
aiti-13599	15	5	utility	utility	NOUN
aiti-13599	15	6	of	of	ADP
aiti-13599	15	7	grid	grid	NOUN
aiti-13599	15	8	and	and	CCONJ
aiti-13599	15	9	product	product	NOUN
aiti-13599	15	10	automata	automata	NOUN
aiti-13599	15	11	in	in	ADP
aiti-13599	15	12	the	the	DET
aiti-13599	15	13	construction	construction	NOUN
aiti-13599	15	14	of	of	ADP
aiti-13599	15	15	finite	finite	ADJ
aiti-13599	15	16	automata	automata	NOUN
aiti-13599	15	17	,	,	PUNCT
aiti-13599	15	18	demonstrating	demonstrate	VERB
aiti-13599	15	19	their	their	PRON
aiti-13599	15	20	efficacy	efficacy	NOUN
aiti-13599	15	21	in	in	ADP
aiti-13599	15	22	addressing	address	VERB
aiti-13599	15	23	computing	compute	VERB
aiti-13599	15	24	difficulties	difficulty	NOUN
aiti-13599	15	25	.	.	PUNCT
aiti-13599	16	1	automata	automata	PROPN
aiti-13599	16	2	are	be	AUX
aiti-13599	16	3	the	the	DET
aiti-13599	16	4	subject	subject	NOUN
aiti-13599	16	5	of	of	ADP
aiti-13599	16	6	studies	study	NOUN
aiti-13599	16	7	in	in	ADP
aiti-13599	16	8	the	the	DET
aiti-13599	16	9	literature	literature	NOUN
aiti-13599	16	10	.	.	PUNCT
aiti-13599	17	1	some	some	PRON
aiti-13599	17	2	of	of	ADP
aiti-13599	17	3	them	they	PRON
aiti-13599	17	4	are	be	AUX
aiti-13599	17	5	addressed	address	VERB
aiti-13599	17	6	below	below	ADV
aiti-13599	17	7	.	.	PUNCT
aiti-13599	18	1	in	in	ADP
aiti-13599	18	2	2024	2024	NUM
aiti-13599	18	3	,	,	PUNCT
aiti-13599	18	4	zhao	zhao	PROPN
aiti-13599	18	5	et	et	PROPN
aiti-13599	18	6	al	al	PROPN
aiti-13599	18	7	.	.	PUNCT
aiti-13599	19	1	[	[	X
aiti-13599	19	2	1	1	X
aiti-13599	19	3	]	]	PUNCT
aiti-13599	19	4	designed	design	VERB
aiti-13599	19	5	a	a	DET
aiti-13599	19	6	model	model	NOUN
aiti-13599	19	7	that	that	PRON
aiti-13599	19	8	simulates	simulate	VERB
aiti-13599	19	9	the	the	DET
aiti-13599	19	10	microstructural	microstructural	ADJ
aiti-13599	19	11	evolution	evolution	NOUN
aiti-13599	19	12	of	of	ADP
aiti-13599	19	13	7075	7075	NUM
aiti-13599	19	14	aluminum	aluminum	NOUN
aiti-13599	19	15	alloy	alloy	NOUN
aiti-13599	19	16	under	under	ADP
aiti-13599	19	17	hot	hot	ADJ
aiti-13599	19	18	deformation	deformation	NOUN
aiti-13599	19	19	based	base	VERB
aiti-13599	19	20	on	on	ADP
aiti-13599	19	21	cellular	cellular	ADJ
aiti-13599	19	22	automata	automata	NOUN
aiti-13599	19	23	(	(	PUNCT
aiti-13599	19	24	ca	ca	NOUN
aiti-13599	19	25	)	)	PUNCT
aiti-13599	19	26	.	.	PUNCT
aiti-13599	20	1	the	the	DET
aiti-13599	20	2	material	material	NOUN
aiti-13599	20	3	properties	property	NOUN
aiti-13599	20	4	of	of	ADP
aiti-13599	20	5	the	the	DET
aiti-13599	20	6	7075	7075	NUM
aiti-13599	20	7	aluminum	aluminum	NOUN
aiti-13599	20	8	alloy	alloy	NOUN
aiti-13599	20	9	were	be	AUX
aiti-13599	20	10	determined	determine	VERB
aiti-13599	20	11	via	via	ADP
aiti-13599	20	12	isothermal	isothermal	ADJ
aiti-13599	20	13	compression	compression	NOUN
aiti-13599	20	14	testing	testing	NOUN
aiti-13599	20	15	,	,	PUNCT
aiti-13599	20	16	which	which	PRON
aiti-13599	20	17	resulted	result	VERB
aiti-13599	20	18	in	in	ADP
aiti-13599	20	19	the	the	DET
aiti-13599	20	20	creation	creation	NOUN
aiti-13599	20	21	of	of	ADP
aiti-13599	20	22	models	model	NOUN
aiti-13599	20	23	for	for	ADP
aiti-13599	20	24	dislocation	dislocation	NOUN
aiti-13599	20	25	density	density	NOUN
aiti-13599	20	26	,	,	PUNCT
aiti-13599	20	27	recrystallized	recrystallize	VERB
aiti-13599	20	28	grain	grain	NOUN
aiti-13599	20	29	nucleation	nucleation	NOUN
aiti-13599	20	30	,	,	PUNCT
aiti-13599	20	31	*	*	PUNCT
aiti-13599	20	32	corresponding	correspond	VERB
aiti-13599	20	33	author	author	NOUN
aiti-13599	20	34	.	.	PUNCT
aiti-13599	21	1	e	e	X
aiti-13599	21	2	-	-	NOUN
aiti-13599	21	3	mail	mail	NOUN
aiti-13599	21	4	address	address	NOUN
aiti-13599	21	5	:	:	PUNCT
aiti-13599	21	6	dibyendu.barman@gmail.com	dibyendu.barman@gmail.com	X
aiti-13599	21	7	240	240	NUM
aiti-13599	21	8	advances	advance	NOUN
aiti-13599	21	9	in	in	ADP
aiti-13599	21	10	technology	technology	NOUN
aiti-13599	21	11	innovation	innovation	NOUN
aiti-13599	21	12	,	,	PUNCT
aiti-13599	21	13	vol	vol	NOUN
aiti-13599	21	14	.	.	PROPN
aiti-13599	22	1	9	9	NUM
aiti-13599	22	2	,	,	PUNCT
aiti-13599	22	3	no	no	INTJ
aiti-13599	22	4	.	.	NOUN
aiti-13599	22	5	3	3	NUM
aiti-13599	22	6	,	,	PUNCT
aiti-13599	22	7	2024	2024	NUM
aiti-13599	22	8	,	,	PUNCT
aiti-13599	22	9	pp	pp	ADV
aiti-13599	22	10	.	.	PUNCT
aiti-13599	23	1	239	239	NUM
aiti-13599	23	2	-	-	SYM
aiti-13599	23	3	255	255	NUM
aiti-13599	23	4	and	and	CCONJ
aiti-13599	23	5	grain	grain	NOUN
aiti-13599	23	6	development	development	NOUN
aiti-13599	23	7	.	.	PUNCT
aiti-13599	24	1	these	these	DET
aiti-13599	24	2	results	result	NOUN
aiti-13599	24	3	show	show	VERB
aiti-13599	24	4	that	that	SCONJ
aiti-13599	24	5	large	large	ADJ
aiti-13599	24	6	strain	strain	NOUN
aiti-13599	24	7	,	,	PUNCT
aiti-13599	24	8	high	high	ADJ
aiti-13599	24	9	temperature	temperature	NOUN
aiti-13599	24	10	,	,	PUNCT
aiti-13599	24	11	and	and	CCONJ
aiti-13599	24	12	low	low	ADJ
aiti-13599	24	13	strain	strain	NOUN
aiti-13599	24	14	rate	rate	NOUN
aiti-13599	24	15	promote	promote	VERB
aiti-13599	24	16	dynamic	dynamic	ADJ
aiti-13599	24	17	recrystallization	recrystallization	NOUN
aiti-13599	24	18	and	and	CCONJ
aiti-13599	24	19	grain	grain	NOUN
aiti-13599	24	20	refining	refining	NOUN
aiti-13599	24	21	.	.	PUNCT
aiti-13599	25	1	the	the	DET
aiti-13599	25	2	ca	ca	PROPN
aiti-13599	25	3	model	model	PROPN
aiti-13599	25	4	’s	’s	PART
aiti-13599	25	5	results	result	NOUN
aiti-13599	25	6	indicate	indicate	VERB
aiti-13599	25	7	good	good	ADJ
aiti-13599	25	8	accuracy	accuracy	NOUN
aiti-13599	25	9	and	and	CCONJ
aiti-13599	25	10	predictive	predictive	ADJ
aiti-13599	25	11	capabilities	capability	NOUN
aiti-13599	25	12	,	,	PUNCT
aiti-13599	25	13	with	with	ADP
aiti-13599	25	14	an	an	DET
aiti-13599	25	15	experimental	experimental	ADJ
aiti-13599	25	16	error	error	NOUN
aiti-13599	25	17	of	of	ADP
aiti-13599	25	18	less	less	ADJ
aiti-13599	25	19	than	than	ADP
aiti-13599	25	20	10	10	NUM
aiti-13599	25	21	%	%	NOUN
aiti-13599	25	22	.	.	PUNCT
aiti-13599	26	1	the	the	DET
aiti-13599	26	2	drawback	drawback	NOUN
aiti-13599	26	3	of	of	ADP
aiti-13599	26	4	this	this	DET
aiti-13599	26	5	approach	approach	NOUN
aiti-13599	26	6	is	be	AUX
aiti-13599	26	7	that	that	SCONJ
aiti-13599	26	8	,	,	PUNCT
aiti-13599	26	9	depending	depend	VERB
aiti-13599	26	10	on	on	ADP
aiti-13599	26	11	the	the	DET
aiti-13599	26	12	particular	particular	ADJ
aiti-13599	26	13	implementation	implementation	NOUN
aiti-13599	26	14	,	,	PUNCT
aiti-13599	26	15	the	the	DET
aiti-13599	26	16	model	model	NOUN
aiti-13599	26	17	’s	’s	PART
aiti-13599	26	18	effectiveness	effectiveness	NOUN
aiti-13599	26	19	may	may	AUX
aiti-13599	26	20	vary	vary	VERB
aiti-13599	26	21	.	.	PUNCT
aiti-13599	27	1	furthermore	furthermore	ADV
aiti-13599	27	2	,	,	PUNCT
aiti-13599	27	3	even	even	ADV
aiti-13599	27	4	if	if	SCONJ
aiti-13599	27	5	ca	ca	NOUN
aiti-13599	27	6	models	model	NOUN
aiti-13599	27	7	offer	offer	VERB
aiti-13599	27	8	a	a	DET
aiti-13599	27	9	more	more	ADV
aiti-13599	27	10	accurate	accurate	ADJ
aiti-13599	27	11	depiction	depiction	NOUN
aiti-13599	27	12	of	of	ADP
aiti-13599	27	13	geographical	geographical	ADJ
aiti-13599	27	14	distribution	distribution	NOUN
aiti-13599	27	15	,	,	PUNCT
aiti-13599	27	16	they	they	PRON
aiti-13599	27	17	could	could	AUX
aiti-13599	27	18	need	need	VERB
aiti-13599	27	19	more	more	ADJ
aiti-13599	27	20	time	time	NOUN
aiti-13599	27	21	and	and	CCONJ
aiti-13599	27	22	computing	computing	NOUN
aiti-13599	27	23	power	power	NOUN
aiti-13599	27	24	.	.	PUNCT
aiti-13599	28	1	again	again	ADV
aiti-13599	28	2	in	in	ADP
aiti-13599	28	3	2024	2024	NUM
aiti-13599	28	4	,	,	PUNCT
aiti-13599	28	5	amir	amir	PROPN
aiti-13599	28	6	et	et	PROPN
aiti-13599	28	7	al	al	PROPN
aiti-13599	28	8	.	.	PUNCT
aiti-13599	29	1	[	[	X
aiti-13599	29	2	2	2	X
aiti-13599	29	3	]	]	PUNCT
aiti-13599	29	4	examine	examine	VERB
aiti-13599	29	5	the	the	DET
aiti-13599	29	6	knuth	knuth	PROPN
aiti-13599	29	7	-	-	PUNCT
aiti-13599	29	8	morris	morris	PROPN
aiti-13599	29	9	-	-	PUNCT
aiti-13599	29	10	pratt	pratt	PROPN
aiti-13599	29	11	(	(	PUNCT
aiti-13599	29	12	kmp	kmp	PROPN
aiti-13599	29	13	)	)	PUNCT
aiti-13599	29	14	automata	automata	NOUN
aiti-13599	29	15	and	and	CCONJ
aiti-13599	29	16	present	present	VERB
aiti-13599	29	17	a	a	DET
aiti-13599	29	18	practical	practical	ADJ
aiti-13599	29	19	outcome	outcome	NOUN
aiti-13599	29	20	that	that	PRON
aiti-13599	29	21	defies	defy	VERB
aiti-13599	29	22	intuition	intuition	NOUN
aiti-13599	29	23	.	.	PUNCT
aiti-13599	30	1	also	also	ADV
aiti-13599	30	2	,	,	PUNCT
aiti-13599	30	3	modanese	modanese	NOUN
aiti-13599	30	4	and	and	CCONJ
aiti-13599	30	5	worsch	worsch	VERB
aiti-13599	30	6	[	[	X
aiti-13599	30	7	3	3	X
aiti-13599	30	8	]	]	PUNCT
aiti-13599	30	9	in	in	ADP
aiti-13599	30	10	2024	2024	NUM
aiti-13599	30	11	,	,	PUNCT
aiti-13599	30	12	showed	show	VERB
aiti-13599	30	13	a	a	DET
aiti-13599	30	14	fungal	fungal	ADJ
aiti-13599	30	15	automaton	automaton	NOUN
aiti-13599	30	16	with	with	ADP
aiti-13599	30	17	an	an	DET
aiti-13599	30	18	update	update	NOUN
aiti-13599	30	19	sequence	sequence	NOUN
aiti-13599	30	20	horizontalvertical	horizontalvertical	ADJ
aiti-13599	30	21	(	(	PUNCT
aiti-13599	30	22	hv	hv	X
aiti-13599	30	23	)	)	PUNCT
aiti-13599	30	24	can	can	AUX
aiti-13599	30	25	be	be	AUX
aiti-13599	30	26	configured	configure	VERB
aiti-13599	30	27	to	to	PART
aiti-13599	30	28	include	include	VERB
aiti-13599	30	29	any	any	DET
aiti-13599	30	30	boolean	boolean	ADJ
aiti-13599	30	31	circuit	circuit	NOUN
aiti-13599	30	32	in	in	ADP
aiti-13599	30	33	its	its	PRON
aiti-13599	30	34	initial	initial	ADJ
aiti-13599	30	35	state	state	NOUN
aiti-13599	30	36	.	.	PUNCT
aiti-13599	31	1	for	for	ADP
aiti-13599	31	2	texts	text	NOUN
aiti-13599	31	3	with	with	ADP
aiti-13599	31	4	uniformly	uniformly	ADV
aiti-13599	31	5	random	random	ADJ
aiti-13599	31	6	symbols	symbol	NOUN
aiti-13599	31	7	,	,	PUNCT
aiti-13599	31	8	the	the	DET
aiti-13599	31	9	naive	naive	ADJ
aiti-13599	31	10	technique	technique	NOUN
aiti-13599	31	11	is	be	AUX
aiti-13599	31	12	thought	think	VERB
aiti-13599	31	13	to	to	PART
aiti-13599	31	14	perform	perform	VERB
aiti-13599	31	15	as	as	ADV
aiti-13599	31	16	well	well	ADV
aiti-13599	31	17	as	as	ADP
aiti-13599	31	18	the	the	DET
aiti-13599	31	19	kmp	kmp	PROPN
aiti-13599	31	20	algorithm	algorithm	NOUN
aiti-13599	31	21	.	.	PUNCT
aiti-13599	32	1	in	in	ADP
aiti-13599	32	2	this	this	DET
aiti-13599	32	3	study	study	NOUN
aiti-13599	32	4	,	,	PUNCT
aiti-13599	32	5	the	the	DET
aiti-13599	32	6	kmp	kmp	PROPN
aiti-13599	32	7	algorithm	algorithm	PROPN
aiti-13599	32	8	’s	’s	PART
aiti-13599	32	9	practical	practical	ADJ
aiti-13599	32	10	efficiency	efficiency	NOUN
aiti-13599	32	11	is	be	AUX
aiti-13599	32	12	compared	compare	VERB
aiti-13599	32	13	against	against	ADP
aiti-13599	32	14	a	a	DET
aiti-13599	32	15	naive	naive	ADJ
aiti-13599	32	16	technique	technique	NOUN
aiti-13599	32	17	for	for	ADP
aiti-13599	32	18	generating	generate	VERB
aiti-13599	32	19	a	a	DET
aiti-13599	32	20	random	random	ADJ
aiti-13599	32	21	text	text	NOUN
aiti-13599	32	22	.	.	PUNCT
aiti-13599	33	1	it	it	PRON
aiti-13599	33	2	investigates	investigate	VERB
aiti-13599	33	3	the	the	DET
aiti-13599	33	4	time	time	NOUN
aiti-13599	33	5	under	under	ADP
aiti-13599	33	6	a	a	DET
aiti-13599	33	7	variety	variety	NOUN
aiti-13599	33	8	of	of	ADP
aiti-13599	33	9	situations	situation	NOUN
aiti-13599	33	10	,	,	PUNCT
aiti-13599	33	11	including	include	VERB
aiti-13599	33	12	alphabet	alphabet	ADJ
aiti-13599	33	13	size	size	NOUN
aiti-13599	33	14	,	,	PUNCT
aiti-13599	33	15	pattern	pattern	NOUN
aiti-13599	33	16	length	length	NOUN
aiti-13599	33	17	,	,	PUNCT
aiti-13599	33	18	and	and	CCONJ
aiti-13599	33	19	pattern	pattern	NOUN
aiti-13599	33	20	distribution	distribution	NOUN
aiti-13599	33	21	in	in	ADP
aiti-13599	33	22	the	the	DET
aiti-13599	33	23	text	text	NOUN
aiti-13599	33	24	.	.	PUNCT
aiti-13599	34	1	the	the	DET
aiti-13599	34	2	main	main	ADJ
aiti-13599	34	3	constraint	constraint	NOUN
aiti-13599	34	4	of	of	ADP
aiti-13599	34	5	this	this	DET
aiti-13599	34	6	approach	approach	NOUN
aiti-13599	34	7	is	be	AUX
aiti-13599	34	8	that	that	SCONJ
aiti-13599	34	9	data	datum	NOUN
aiti-13599	34	10	becomes	become	VERB
aiti-13599	34	11	less	less	ADV
aiti-13599	34	12	useful	useful	ADJ
aiti-13599	34	13	as	as	SCONJ
aiti-13599	34	14	input	input	NOUN
aiti-13599	34	15	sizes	size	NOUN
aiti-13599	34	16	grow	grow	VERB
aiti-13599	34	17	.	.	PUNCT
aiti-13599	35	1	as	as	ADP
aiti-13599	35	2	a	a	DET
aiti-13599	35	3	result	result	NOUN
aiti-13599	35	4	,	,	PUNCT
aiti-13599	35	5	errors	error	NOUN
aiti-13599	35	6	keep	keep	VERB
aiti-13599	35	7	happening	happen	VERB
aiti-13599	35	8	.	.	PUNCT
aiti-13599	36	1	in	in	ADP
aiti-13599	36	2	2024	2024	NUM
aiti-13599	36	3	,	,	PUNCT
aiti-13599	36	4	pighizzini	pighizzini	PROPN
aiti-13599	36	5	et	et	PROPN
aiti-13599	36	6	al	al	PROPN
aiti-13599	36	7	.	.	PUNCT
aiti-13599	37	1	[	[	X
aiti-13599	37	2	4	4	NUM
aiti-13599	37	3	]	]	PUNCT
aiti-13599	37	4	,	,	PUNCT
aiti-13599	37	5	show	show	VERB
aiti-13599	37	6	using	use	VERB
aiti-13599	37	7	1	1	NUM
aiti-13599	37	8	-	-	PUNCT
aiti-13599	37	9	limited	limit	VERB
aiti-13599	37	10	automata	automata	NOUN
aiti-13599	37	11	,	,	PUNCT
aiti-13599	37	12	a	a	DET
aiti-13599	37	13	constrained	constrained	ADJ
aiti-13599	37	14	variant	variant	NOUN
aiti-13599	37	15	of	of	ADP
aiti-13599	37	16	one	one	NUM
aiti-13599	37	17	-	-	PUNCT
aiti-13599	37	18	tape	tape	NOUN
aiti-13599	37	19	turing	ture	VERB
aiti-13599	37	20	machines	machine	NOUN
aiti-13599	37	21	,	,	PUNCT
aiti-13599	37	22	the	the	DET
aiti-13599	37	23	descriptional	descriptional	ADJ
aiti-13599	37	24	complexity	complexity	NOUN
aiti-13599	37	25	of	of	ADP
aiti-13599	37	26	fundamental	fundamental	ADJ
aiti-13599	37	27	operations	operation	NOUN
aiti-13599	37	28	on	on	ADP
aiti-13599	37	29	regular	regular	ADJ
aiti-13599	37	30	languages	language	NOUN
aiti-13599	37	31	is	be	AUX
aiti-13599	37	32	examined	examine	VERB
aiti-13599	37	33	.	.	PUNCT
aiti-13599	38	1	the	the	DET
aiti-13599	38	2	sizes	size	NOUN
aiti-13599	38	3	of	of	ADP
aiti-13599	38	4	the	the	DET
aiti-13599	38	5	generated	generate	VERB
aiti-13599	38	6	devices	device	NOUN
aiti-13599	38	7	are	be	AUX
aiti-13599	38	8	polynomial	polynomial	ADJ
aiti-13599	38	9	in	in	ADP
aiti-13599	38	10	the	the	DET
aiti-13599	38	11	sizes	size	NOUN
aiti-13599	38	12	of	of	ADP
aiti-13599	38	13	the	the	DET
aiti-13599	38	14	simulated	simulate	VERB
aiti-13599	38	15	machines	machine	NOUN
aiti-13599	38	16	when	when	SCONJ
aiti-13599	38	17	deterministic	deterministic	ADJ
aiti-13599	38	18	1	1	NUM
aiti-13599	38	19	-	-	PUNCT
aiti-13599	38	20	limited	limit	VERB
aiti-13599	38	21	automata	automata	NOUN
aiti-13599	38	22	are	be	AUX
aiti-13599	38	23	used	use	VERB
aiti-13599	38	24	to	to	PART
aiti-13599	38	25	simulate	simulate	VERB
aiti-13599	38	26	operations	operation	NOUN
aiti-13599	38	27	on	on	ADP
aiti-13599	38	28	dfa	dfa	PROPN
aiti-13599	38	29	.	.	PUNCT
aiti-13599	38	30	applying	apply	VERB
aiti-13599	38	31	the	the	DET
aiti-13599	38	32	operations	operation	NOUN
aiti-13599	38	33	to	to	PART
aiti-13599	38	34	deterministic	deterministic	VERB
aiti-13599	38	35	1	1	NUM
aiti-13599	38	36	-	-	PUNCT
aiti-13599	38	37	limited	limit	VERB
aiti-13599	38	38	automata	automata	NOUN
aiti-13599	38	39	presents	present	VERB
aiti-13599	38	40	a	a	DET
aiti-13599	38	41	different	different	ADJ
aiti-13599	38	42	scenario	scenario	NOUN
aiti-13599	38	43	:	:	PUNCT
aiti-13599	38	44	the	the	DET
aiti-13599	38	45	simulations	simulation	NOUN
aiti-13599	38	46	stay	stay	VERB
aiti-13599	38	47	polynomial	polynomial	ADJ
aiti-13599	38	48	for	for	ADP
aiti-13599	38	49	boolean	boolean	ADJ
aiti-13599	38	50	operations	operation	NOUN
aiti-13599	38	51	,	,	PUNCT
aiti-13599	38	52	but	but	CCONJ
aiti-13599	38	53	they	they	PRON
aiti-13599	38	54	become	become	VERB
aiti-13599	38	55	exponential	exponential	ADJ
aiti-13599	38	56	in	in	ADP
aiti-13599	38	57	size	size	NOUN
aiti-13599	38	58	for	for	ADP
aiti-13599	38	59	product	product	NOUN
aiti-13599	38	60	,	,	PUNCT
aiti-13599	38	61	star	star	NOUN
aiti-13599	38	62	,	,	PUNCT
aiti-13599	38	63	and	and	CCONJ
aiti-13599	38	64	reversal	reversal	NOUN
aiti-13599	38	65	operations	operation	NOUN
aiti-13599	38	66	.	.	PUNCT
aiti-13599	39	1	the	the	DET
aiti-13599	39	2	major	major	ADJ
aiti-13599	39	3	drawback	drawback	NOUN
aiti-13599	39	4	of	of	ADP
aiti-13599	39	5	this	this	DET
aiti-13599	39	6	approach	approach	NOUN
aiti-13599	39	7	is	be	AUX
aiti-13599	39	8	that	that	SCONJ
aiti-13599	39	9	if	if	SCONJ
aiti-13599	39	10	the	the	DET
aiti-13599	39	11	machines	machine	NOUN
aiti-13599	39	12	are	be	AUX
aiti-13599	39	13	two	two	NUM
aiti-13599	39	14	-	-	PUNCT
aiti-13599	39	15	way	way	NOUN
aiti-13599	39	16	dfa	dfa	NOUN
aiti-13599	39	17	,	,	PUNCT
aiti-13599	39	18	the	the	DET
aiti-13599	39	19	costs	cost	NOUN
aiti-13599	39	20	of	of	ADP
aiti-13599	39	21	the	the	DET
aiti-13599	39	22	product	product	NOUN
aiti-13599	39	23	and	and	CCONJ
aiti-13599	39	24	star	star	NOUN
aiti-13599	39	25	do	do	AUX
aiti-13599	39	26	not	not	PART
aiti-13599	39	27	decrease	decrease	VERB
aiti-13599	39	28	.	.	PUNCT
aiti-13599	40	1	maletti	maletti	NOUN
aiti-13599	40	2	and	and	CCONJ
aiti-13599	40	3	nasz	nasz	NOUN
aiti-13599	41	1	[	[	X
aiti-13599	41	2	5	5	NUM
aiti-13599	41	3	]	]	PUNCT
aiti-13599	41	4	in	in	ADP
aiti-13599	41	5	2024	2024	NUM
aiti-13599	41	6	,	,	PUNCT
aiti-13599	41	7	showed	show	VERB
aiti-13599	41	8	that	that	SCONJ
aiti-13599	41	9	the	the	DET
aiti-13599	41	10	central	central	ADJ
aiti-13599	41	11	idea	idea	NOUN
aiti-13599	41	12	of	of	ADP
aiti-13599	41	13	the	the	DET
aiti-13599	41	14	unweighted	unweighted	ADJ
aiti-13599	41	15	setting	setting	NOUN
aiti-13599	41	16	,	,	PUNCT
aiti-13599	41	17	the	the	DET
aiti-13599	41	18	tree	tree	NOUN
aiti-13599	41	19	automaton	automaton	NOUN
aiti-13599	41	20	with	with	ADP
aiti-13599	41	21	inequality	inequality	NOUN
aiti-13599	41	22	and	and	CCONJ
aiti-13599	41	23	equality	equality	NOUN
aiti-13599	41	24	constraints	constraint	NOUN
aiti-13599	41	25	,	,	PUNCT
aiti-13599	41	26	can	can	AUX
aiti-13599	41	27	be	be	AUX
aiti-13599	41	28	directly	directly	ADV
aiti-13599	41	29	generalized	generalize	VERB
aiti-13599	41	30	to	to	ADP
aiti-13599	41	31	the	the	DET
aiti-13599	41	32	weighted	weighted	ADJ
aiti-13599	41	33	setting	setting	NOUN
aiti-13599	41	34	and	and	CCONJ
aiti-13599	41	35	can	can	AUX
aiti-13599	41	36	represent	represent	VERB
aiti-13599	41	37	the	the	DET
aiti-13599	41	38	image	image	NOUN
aiti-13599	41	39	of	of	ADP
aiti-13599	41	40	any	any	DET
aiti-13599	41	41	regular	regular	ADJ
aiti-13599	41	42	weighted	weight	VERB
aiti-13599	41	43	tree	tree	NOUN
aiti-13599	41	44	language	language	NOUN
aiti-13599	41	45	under	under	ADP
aiti-13599	41	46	any	any	DET
aiti-13599	41	47	nonerasing	nonerasing	NOUN
aiti-13599	41	48	and	and	CCONJ
aiti-13599	41	49	nondeleting	nondelete	VERB
aiti-13599	41	50	tree	tree	NOUN
aiti-13599	41	51	homomorphism	homomorphism	NOUN
aiti-13599	41	52	.	.	PUNCT
aiti-13599	42	1	several	several	ADJ
aiti-13599	42	2	closure	closure	NOUN
aiti-13599	42	3	properties	property	NOUN
aiti-13599	42	4	and	and	CCONJ
aiti-13599	42	5	decision	decision	NOUN
aiti-13599	42	6	problems	problem	NOUN
aiti-13599	42	7	are	be	AUX
aiti-13599	42	8	also	also	ADV
aiti-13599	42	9	examined	examine	VERB
aiti-13599	42	10	for	for	ADP
aiti-13599	42	11	the	the	DET
aiti-13599	42	12	weighted	weight	VERB
aiti-13599	42	13	tree	tree	NOUN
aiti-13599	42	14	languages	language	NOUN
aiti-13599	42	15	produced	produce	VERB
aiti-13599	42	16	by	by	ADP
aiti-13599	42	17	constraint	constraint	NOUN
aiti-13599	42	18	-	-	PUNCT
aiti-13599	42	19	based	base	VERB
aiti-13599	42	20	weighted	weight	VERB
aiti-13599	42	21	tree	tree	NOUN
aiti-13599	42	22	automata	automata	NOUN
aiti-13599	42	23	.	.	PUNCT
aiti-13599	43	1	the	the	DET
aiti-13599	43	2	main	main	ADJ
aiti-13599	43	3	limitation	limitation	NOUN
aiti-13599	43	4	of	of	ADP
aiti-13599	43	5	this	this	DET
aiti-13599	43	6	approach	approach	NOUN
aiti-13599	43	7	is	be	AUX
aiti-13599	43	8	that	that	SCONJ
aiti-13599	43	9	weighted	weight	VERB
aiti-13599	43	10	tree	tree	NOUN
aiti-13599	43	11	automata	automata	NOUN
aiti-13599	43	12	can	can	AUX
aiti-13599	43	13	not	not	PART
aiti-13599	43	14	ensure	ensure	VERB
aiti-13599	43	15	that	that	SCONJ
aiti-13599	43	16	two	two	NUM
aiti-13599	43	17	subtrees	subtree	NOUN
aiti-13599	43	18	in	in	ADP
aiti-13599	43	19	an	an	DET
aiti-13599	43	20	approved	approve	VERB
aiti-13599	43	21	tree	tree	NOUN
aiti-13599	43	22	,	,	PUNCT
aiti-13599	43	23	regardless	regardless	ADV
aiti-13599	43	24	of	of	ADP
aiti-13599	43	25	size	size	NOUN
aiti-13599	43	26	,	,	PUNCT
aiti-13599	43	27	are	be	AUX
aiti-13599	43	28	always	always	ADV
aiti-13599	43	29	equal	equal	ADJ
aiti-13599	43	30	.	.	PUNCT
aiti-13599	44	1	in	in	ADP
aiti-13599	44	2	2024	2024	NUM
aiti-13599	44	3	,	,	PUNCT
aiti-13599	44	4	laura	laura	PROPN
aiti-13599	44	5	et	et	PROPN
aiti-13599	44	6	al	al	PROPN
aiti-13599	44	7	.	.	PUNCT
aiti-13599	45	1	[	[	X
aiti-13599	45	2	6	6	NUM
aiti-13599	45	3	]	]	PUNCT
aiti-13599	45	4	proposed	propose	VERB
aiti-13599	45	5	a	a	DET
aiti-13599	45	6	model	model	NOUN
aiti-13599	45	7	of	of	ADP
aiti-13599	45	8	ca	ca	PRON
aiti-13599	45	9	that	that	PRON
aiti-13599	45	10	has	have	AUX
aiti-13599	45	11	been	be	AUX
aiti-13599	45	12	created	create	VERB
aiti-13599	45	13	to	to	PART
aiti-13599	45	14	investigate	investigate	VERB
aiti-13599	45	15	the	the	DET
aiti-13599	45	16	behavior	behavior	NOUN
aiti-13599	45	17	of	of	ADP
aiti-13599	45	18	ceramic	ceramic	ADJ
aiti-13599	45	19	particles	particle	NOUN
aiti-13599	45	20	during	during	ADP
aiti-13599	45	21	sintering	sinter	VERB
aiti-13599	45	22	.	.	PUNCT
aiti-13599	46	1	reducing	reduce	VERB
aiti-13599	46	2	the	the	DET
aiti-13599	46	3	energy	energy	NOUN
aiti-13599	46	4	at	at	ADP
aiti-13599	46	5	the	the	DET
aiti-13599	46	6	interface	interface	NOUN
aiti-13599	46	7	between	between	ADP
aiti-13599	46	8	the	the	DET
aiti-13599	46	9	mass	mass	NOUN
aiti-13599	46	10	cells	cell	NOUN
aiti-13599	46	11	and	and	CCONJ
aiti-13599	46	12	the	the	DET
aiti-13599	46	13	void	void	ADJ
aiti-13599	46	14	cells	cell	NOUN
aiti-13599	46	15	is	be	AUX
aiti-13599	46	16	the	the	DET
aiti-13599	46	17	single	single	ADJ
aiti-13599	46	18	physical	physical	ADJ
aiti-13599	46	19	rule	rule	NOUN
aiti-13599	46	20	in	in	ADP
aiti-13599	46	21	this	this	DET
aiti-13599	46	22	model	model	NOUN
aiti-13599	46	23	that	that	PRON
aiti-13599	46	24	governs	govern	VERB
aiti-13599	46	25	how	how	SCONJ
aiti-13599	46	26	the	the	DET
aiti-13599	46	27	system	system	NOUN
aiti-13599	46	28	evolves	evolve	VERB
aiti-13599	46	29	.	.	PUNCT
aiti-13599	47	1	investigations	investigation	NOUN
aiti-13599	47	2	were	be	AUX
aiti-13599	47	3	conducted	conduct	VERB
aiti-13599	47	4	into	into	ADP
aiti-13599	47	5	the	the	DET
aiti-13599	47	6	significance	significance	NOUN
aiti-13599	47	7	of	of	ADP
aiti-13599	47	8	various	various	ADJ
aiti-13599	47	9	computational	computational	ADJ
aiti-13599	47	10	factors	factor	NOUN
aiti-13599	47	11	,	,	PUNCT
aiti-13599	47	12	including	include	VERB
aiti-13599	47	13	particle	particle	NOUN
aiti-13599	47	14	size	size	NOUN
aiti-13599	47	15	and	and	CCONJ
aiti-13599	47	16	computational	computational	ADJ
aiti-13599	47	17	temperature	temperature	NOUN
aiti-13599	47	18	.	.	PUNCT
aiti-13599	48	1	experiments	experiment	NOUN
aiti-13599	48	2	with	with	ADP
aiti-13599	48	3	partial	partial	ADJ
aiti-13599	48	4	sintering	sintering	NOUN
aiti-13599	48	5	of	of	ADP
aiti-13599	48	6	spherical	spherical	ADJ
aiti-13599	48	7	silica	silica	NOUN
aiti-13599	48	8	particles	particle	NOUN
aiti-13599	48	9	were	be	AUX
aiti-13599	48	10	carried	carry	VERB
aiti-13599	48	11	out	out	ADP
aiti-13599	48	12	,	,	PUNCT
aiti-13599	48	13	and	and	CCONJ
aiti-13599	48	14	it	it	PRON
aiti-13599	48	15	was	be	AUX
aiti-13599	48	16	confirmed	confirm	VERB
aiti-13599	48	17	that	that	SCONJ
aiti-13599	48	18	this	this	DET
aiti-13599	48	19	model	model	NOUN
aiti-13599	48	20	accurately	accurately	ADV
aiti-13599	48	21	replicates	replicate	VERB
aiti-13599	48	22	neck	neck	NOUN
aiti-13599	48	23	development	development	NOUN
aiti-13599	48	24	.	.	PUNCT
aiti-13599	49	1	furthermore	furthermore	ADV
aiti-13599	49	2	,	,	PUNCT
aiti-13599	49	3	other	other	ADJ
aiti-13599	49	4	experimental	experimental	ADJ
aiti-13599	49	5	evidence	evidence	NOUN
aiti-13599	49	6	of	of	ADP
aiti-13599	49	7	densification	densification	NOUN
aiti-13599	49	8	stages	stage	NOUN
aiti-13599	49	9	,	,	PUNCT
aiti-13599	49	10	such	such	ADJ
aiti-13599	49	11	as	as	ADP
aiti-13599	49	12	the	the	DET
aiti-13599	49	13	creation	creation	NOUN
aiti-13599	49	14	of	of	ADP
aiti-13599	49	15	the	the	DET
aiti-13599	49	16	intermediate	intermediate	ADJ
aiti-13599	49	17	vermicular	vermicular	ADJ
aiti-13599	49	18	microstructure	microstructure	NOUN
aiti-13599	49	19	or	or	CCONJ
aiti-13599	49	20	the	the	DET
aiti-13599	49	21	porosity	porosity	NOUN
aiti-13599	49	22	-	-	PUNCT
aiti-13599	49	23	temperature	temperature	NOUN
aiti-13599	49	24	dependence	dependence	NOUN
aiti-13599	49	25	,	,	PUNCT
aiti-13599	49	26	were	be	AUX
aiti-13599	49	27	qualitatively	qualitatively	ADV
aiti-13599	49	28	replicated	replicate	VERB
aiti-13599	49	29	.	.	PUNCT
aiti-13599	50	1	the	the	DET
aiti-13599	50	2	primary	primary	ADJ
aiti-13599	50	3	constraints	constraint	NOUN
aiti-13599	50	4	of	of	ADP
aiti-13599	50	5	this	this	DET
aiti-13599	50	6	approach	approach	NOUN
aiti-13599	50	7	are	be	AUX
aiti-13599	50	8	motion	motion	NOUN
aiti-13599	50	9	artifacts	artifact	NOUN
aiti-13599	50	10	and	and	CCONJ
aiti-13599	50	11	the	the	DET
aiti-13599	50	12	influence	influence	NOUN
aiti-13599	50	13	of	of	ADP
aiti-13599	50	14	grid	grid	NOUN
aiti-13599	50	15	resolution	resolution	NOUN
aiti-13599	50	16	on	on	ADP
aiti-13599	50	17	motion	motion	NOUN
aiti-13599	50	18	.	.	PUNCT
aiti-13599	51	1	in	in	ADP
aiti-13599	51	2	2023	2023	NUM
aiti-13599	51	3	,	,	PUNCT
aiti-13599	51	4	kishore	kishore	PROPN
aiti-13599	51	5	et	et	PROPN
aiti-13599	51	6	al	al	PROPN
aiti-13599	51	7	.	.	PUNCT
aiti-13599	52	1	[	[	X
aiti-13599	52	2	7	7	X
aiti-13599	52	3	]	]	PUNCT
aiti-13599	52	4	proposed	propose	VERB
aiti-13599	52	5	fundamental	fundamental	ADJ
aiti-13599	52	6	ideas	idea	NOUN
aiti-13599	52	7	and	and	CCONJ
aiti-13599	52	8	concepts	concept	NOUN
aiti-13599	52	9	of	of	ADP
aiti-13599	52	10	quantum	quantum	NOUN
aiti-13599	52	11	-	-	PUNCT
aiti-13599	52	12	dot	dot	NOUN
aiti-13599	52	13	cellular	cellular	ADJ
aiti-13599	52	14	automata	automata	NOUN
aiti-13599	52	15	(	(	PUNCT
aiti-13599	52	16	qca	qca	NOUN
aiti-13599	52	17	)	)	PUNCT
aiti-13599	52	18	,	,	PUNCT
aiti-13599	52	19	along	along	ADP
aiti-13599	52	20	with	with	ADP
aiti-13599	52	21	some	some	DET
aiti-13599	52	22	potential	potential	ADJ
aiti-13599	52	23	benefits	benefit	NOUN
aiti-13599	52	24	over	over	ADP
aiti-13599	52	25	traditional	traditional	ADJ
aiti-13599	52	26	complementary	complementary	ADJ
aiti-13599	52	27	metal	metal	NOUN
aiti-13599	52	28	-	-	PUNCT
aiti-13599	52	29	oxide	oxide	NOUN
aiti-13599	52	30	-	-	PUNCT
aiti-13599	52	31	semiconductor	semiconductor	NOUN
aiti-13599	52	32	(	(	PUNCT
aiti-13599	52	33	cmos	cmos	NOUN
aiti-13599	52	34	)	)	PUNCT
aiti-13599	52	35	technology	technology	NOUN
aiti-13599	52	36	.	.	PUNCT
aiti-13599	53	1	the	the	DET
aiti-13599	53	2	performance	performance	NOUN
aiti-13599	53	3	of	of	ADP
aiti-13599	53	4	qca	qca	NOUN
aiti-13599	53	5	-	-	PUNCT
aiti-13599	53	6	based	base	VERB
aiti-13599	53	7	adders	adder	NOUN
aiti-13599	53	8	is	be	AUX
aiti-13599	53	9	then	then	ADV
aiti-13599	53	10	compared	compare	VERB
aiti-13599	53	11	to	to	ADP
aiti-13599	53	12	conventional	conventional	ADJ
aiti-13599	53	13	cmos	cmos	NOUN
aiti-13599	53	14	designs	design	NOUN
aiti-13599	53	15	,	,	PUNCT
aiti-13599	53	16	and	and	CCONJ
aiti-13599	53	17	it	it	PRON
aiti-13599	53	18	is	be	AUX
aiti-13599	53	19	demonstrated	demonstrate	VERB
aiti-13599	53	20	that	that	SCONJ
aiti-13599	53	21	qca	qca	NOUN
aiti-13599	53	22	-	-	PUNCT
aiti-13599	53	23	based	base	VERB
aiti-13599	53	24	adders	adder	NOUN
aiti-13599	53	25	are	be	AUX
aiti-13599	53	26	faster	fast	ADJ
aiti-13599	53	27	and	and	CCONJ
aiti-13599	53	28	require	require	VERB
aiti-13599	53	29	less	less	ADJ
aiti-13599	53	30	power	power	NOUN
aiti-13599	53	31	than	than	ADP
aiti-13599	53	32	cmos	cmos	NOUN
aiti-13599	53	33	designs	design	NOUN
aiti-13599	53	34	.	.	PUNCT
aiti-13599	54	1	due	due	ADP
aiti-13599	54	2	to	to	ADP
aiti-13599	54	3	their	their	PRON
aiti-13599	54	4	small	small	ADJ
aiti-13599	54	5	size	size	NOUN
aiti-13599	54	6	and	and	CCONJ
aiti-13599	54	7	careful	careful	ADJ
aiti-13599	54	8	construction	construction	NOUN
aiti-13599	54	9	,	,	PUNCT
aiti-13599	54	10	the	the	DET
aiti-13599	54	11	primary	primary	ADJ
aiti-13599	54	12	drawback	drawback	NOUN
aiti-13599	54	13	of	of	ADP
aiti-13599	54	14	these	these	DET
aiti-13599	54	15	qcas	qcas	NOUN
aiti-13599	54	16	is	be	AUX
aiti-13599	54	17	that	that	SCONJ
aiti-13599	54	18	they	they	PRON
aiti-13599	54	19	are	be	AUX
aiti-13599	54	20	more	more	ADV
aiti-13599	54	21	prone	prone	ADJ
aiti-13599	54	22	to	to	ADP
aiti-13599	54	23	errors	error	NOUN
aiti-13599	54	24	.	.	PUNCT
aiti-13599	55	1	again	again	ADV
aiti-13599	55	2	in	in	ADP
aiti-13599	55	3	2023	2023	NUM
aiti-13599	55	4	,	,	PUNCT
aiti-13599	55	5	shahid	shahid	PROPN
aiti-13599	55	6	et	et	PROPN
aiti-13599	55	7	al	al	PROPN
aiti-13599	55	8	.	.	PUNCT
aiti-13599	56	1	[	[	X
aiti-13599	56	2	8	8	NUM
aiti-13599	56	3	]	]	PUNCT
aiti-13599	56	4	presented	present	VERB
aiti-13599	56	5	the	the	DET
aiti-13599	56	6	proactive	proactive	ADJ
aiti-13599	56	7	approach	approach	NOUN
aiti-13599	56	8	in	in	ADP
aiti-13599	56	9	a	a	DET
aiti-13599	56	10	peer	peer	NOUN
aiti-13599	56	11	group	group	NOUN
aiti-13599	56	12	.	.	PUNCT
aiti-13599	57	1	here	here	ADV
aiti-13599	57	2	a	a	DET
aiti-13599	57	3	variety	variety	NOUN
aiti-13599	57	4	of	of	ADP
aiti-13599	57	5	group	group	NOUN
aiti-13599	57	6	activities	activity	NOUN
aiti-13599	57	7	are	be	AUX
aiti-13599	57	8	used	use	VERB
aiti-13599	57	9	to	to	PART
aiti-13599	57	10	make	make	VERB
aiti-13599	57	11	the	the	DET
aiti-13599	57	12	course	course	NOUN
aiti-13599	57	13	engaging	engage	VERB
aiti-13599	57	14	and	and	CCONJ
aiti-13599	57	15	simple	simple	ADJ
aiti-13599	57	16	for	for	SCONJ
aiti-13599	57	17	the	the	DET
aiti-13599	57	18	students	student	NOUN
aiti-13599	57	19	to	to	PART
aiti-13599	57	20	learn	learn	VERB
aiti-13599	57	21	from	from	ADP
aiti-13599	57	22	with	with	ADP
aiti-13599	57	23	the	the	DET
aiti-13599	57	24	support	support	NOUN
aiti-13599	57	25	of	of	ADP
aiti-13599	57	26	their	their	PRON
aiti-13599	57	27	classmates	classmate	NOUN
aiti-13599	57	28	.	.	PUNCT
aiti-13599	58	1	they	they	PRON
aiti-13599	58	2	were	be	AUX
aiti-13599	58	3	able	able	ADJ
aiti-13599	58	4	to	to	PART
aiti-13599	58	5	learn	learn	VERB
aiti-13599	58	6	nfa	nfa	PROPN
aiti-13599	58	7	as	as	ADP
aiti-13599	58	8	a	a	DET
aiti-13599	58	9	result	result	NOUN
aiti-13599	58	10	,	,	PUNCT
aiti-13599	58	11	and	and	CCONJ
aiti-13599	58	12	they	they	PRON
aiti-13599	58	13	also	also	ADV
aiti-13599	58	14	used	use	VERB
aiti-13599	58	15	simulation	simulation	NOUN
aiti-13599	58	16	software	software	NOUN
aiti-13599	58	17	to	to	PART
aiti-13599	58	18	enhance	enhance	VERB
aiti-13599	58	19	the	the	DET
aiti-13599	58	20	learning	learning	NOUN
aiti-13599	58	21	process	process	NOUN
aiti-13599	58	22	.	.	PUNCT
aiti-13599	59	1	the	the	DET
aiti-13599	59	2	main	main	ADJ
aiti-13599	59	3	constraint	constraint	NOUN
aiti-13599	59	4	of	of	ADP
aiti-13599	59	5	this	this	DET
aiti-13599	59	6	approach	approach	NOUN
aiti-13599	59	7	is	be	AUX
aiti-13599	59	8	the	the	DET
aiti-13599	59	9	restricted	restricted	ADJ
aiti-13599	59	10	computational	computational	ADJ
aiti-13599	59	11	problem	problem	NOUN
aiti-13599	59	12	-	-	PUNCT
aiti-13599	59	13	solving	solve	VERB
aiti-13599	59	14	capabilities	capability	NOUN
aiti-13599	59	15	of	of	ADP
aiti-13599	59	16	these	these	DET
aiti-13599	59	17	machines	machine	NOUN
aiti-13599	59	18	,	,	PUNCT
aiti-13599	59	19	which	which	PRON
aiti-13599	59	20	are	be	AUX
aiti-13599	59	21	primarily	primarily	ADV
aiti-13599	59	22	limited	limit	VERB
aiti-13599	59	23	to	to	ADP
aiti-13599	59	24	issues	issue	NOUN
aiti-13599	59	25	that	that	PRON
aiti-13599	59	26	can	can	AUX
aiti-13599	59	27	be	be	AUX
aiti-13599	59	28	described	describe	VERB
aiti-13599	59	29	using	use	VERB
aiti-13599	59	30	regular	regular	ADJ
aiti-13599	59	31	languages	language	NOUN
aiti-13599	59	32	.	.	PUNCT
aiti-13599	60	1	advances	advance	NOUN
aiti-13599	60	2	in	in	ADP
aiti-13599	60	3	technology	technology	NOUN
aiti-13599	60	4	innovation	innovation	NOUN
aiti-13599	60	5	,	,	PUNCT
aiti-13599	60	6	vol	vol	NOUN
aiti-13599	60	7	.	.	PROPN
aiti-13599	60	8	9	9	NUM
aiti-13599	60	9	,	,	PUNCT
aiti-13599	60	10	no	no	INTJ
aiti-13599	60	11	.	.	NOUN
aiti-13599	60	12	3	3	NUM
aiti-13599	60	13	,	,	PUNCT
aiti-13599	60	14	2024	2024	NUM
aiti-13599	60	15	,	,	PUNCT
aiti-13599	60	16	pp	pp	ADV
aiti-13599	60	17	.	.	PUNCT
aiti-13599	61	1	239	239	NUM
aiti-13599	61	2	-	-	SYM
aiti-13599	61	3	255	255	NUM
aiti-13599	61	4	241	241	NUM
aiti-13599	61	5	in	in	ADP
aiti-13599	61	6	2023	2023	NUM
aiti-13599	61	7	,	,	PUNCT
aiti-13599	61	8	jaiswal	jaiswal	PROPN
aiti-13599	61	9	and	and	CCONJ
aiti-13599	61	10	sasamal	sasamal	ADJ
aiti-13599	61	11	[	[	X
aiti-13599	61	12	9	9	NUM
aiti-13599	61	13	]	]	PUNCT
aiti-13599	61	14	proposed	propose	VERB
aiti-13599	61	15	a	a	DET
aiti-13599	61	16	method	method	NOUN
aiti-13599	61	17	where	where	SCONJ
aiti-13599	61	18	in	in	ADP
aiti-13599	61	19	comparison	comparison	NOUN
aiti-13599	61	20	to	to	ADP
aiti-13599	61	21	the	the	DET
aiti-13599	61	22	horizontal	horizontal	ADJ
aiti-13599	61	23	,	,	PUNCT
aiti-13599	61	24	vertical	vertical	ADJ
aiti-13599	61	25	,	,	PUNCT
aiti-13599	61	26	nanomagnetic	nanomagnetic	PROPN
aiti-13599	61	27	qca	qca	PROPN
aiti-13599	61	28	,	,	PUNCT
aiti-13599	61	29	and	and	CCONJ
aiti-13599	61	30	the	the	DET
aiti-13599	61	31	current	current	ADJ
aiti-13599	61	32	qca	qca	NOUN
aiti-13599	61	33	-	-	PUNCT
aiti-13599	61	34	based	base	VERB
aiti-13599	61	35	2:1	2:1	NUM
aiti-13599	61	36	mux	mux	PROPN
aiti-13599	61	37	,	,	PUNCT
aiti-13599	61	38	the	the	DET
aiti-13599	61	39	suggested	suggest	VERB
aiti-13599	61	40	compact	compact	ADJ
aiti-13599	61	41	design	design	NOUN
aiti-13599	61	42	methodology	methodology	NOUN
aiti-13599	61	43	results	result	NOUN
aiti-13599	61	44	in	in	ADP
aiti-13599	61	45	approximately	approximately	ADV
aiti-13599	61	46	71	71	NUM
aiti-13599	61	47	%	%	NOUN
aiti-13599	61	48	to97	to97	NOUN
aiti-13599	61	49	%	%	NOUN
aiti-13599	61	50	reduction	reduction	NOUN
aiti-13599	61	51	in	in	ADP
aiti-13599	61	52	the	the	DET
aiti-13599	61	53	total	total	ADJ
aiti-13599	61	54	number	number	NOUN
aiti-13599	61	55	of	of	ADP
aiti-13599	61	56	nanodots	nanodot	NOUN
aiti-13599	61	57	and	and	CCONJ
aiti-13599	61	58	approximately	approximately	ADV
aiti-13599	61	59	22	22	NUM
aiti-13599	61	60	%	%	NOUN
aiti-13599	61	61	to	to	PART
aiti-13599	61	62	99	99	NUM
aiti-13599	61	63	%	%	NOUN
aiti-13599	61	64	reduction	reduction	NOUN
aiti-13599	61	65	in	in	ADP
aiti-13599	61	66	area	area	NOUN
aiti-13599	61	67	occupancy	occupancy	NOUN
aiti-13599	61	68	.	.	PUNCT
aiti-13599	62	1	here	here	ADV
aiti-13599	62	2	it	it	PRON
aiti-13599	62	3	also	also	ADV
aiti-13599	62	4	creates	create	VERB
aiti-13599	62	5	an	an	DET
aiti-13599	62	6	8:1	8:1	NUM
aiti-13599	62	7	mux	mux	NOUN
aiti-13599	62	8	to	to	PART
aiti-13599	62	9	demonstrate	demonstrate	VERB
aiti-13599	62	10	the	the	DET
aiti-13599	62	11	scalability	scalability	NOUN
aiti-13599	62	12	of	of	ADP
aiti-13599	62	13	the	the	DET
aiti-13599	62	14	suggested	suggest	VERB
aiti-13599	62	15	structure	structure	NOUN
aiti-13599	62	16	.	.	PUNCT
aiti-13599	63	1	using	use	VERB
aiti-13599	63	2	the	the	DET
aiti-13599	63	3	mumax3	mumax3	NOUN
aiti-13599	63	4	micromagnetic	micromagnetic	ADJ
aiti-13599	63	5	simulator	simulator	NOUN
aiti-13599	63	6	,	,	PUNCT
aiti-13599	63	7	the	the	DET
aiti-13599	63	8	design	design	NOUN
aiti-13599	63	9	layouts	layout	NOUN
aiti-13599	63	10	and	and	CCONJ
aiti-13599	63	11	simulation	simulation	NOUN
aiti-13599	63	12	results	result	NOUN
aiti-13599	63	13	are	be	AUX
aiti-13599	63	14	confirmed	confirm	VERB
aiti-13599	63	15	.	.	PUNCT
aiti-13599	64	1	the	the	DET
aiti-13599	64	2	main	main	ADJ
aiti-13599	64	3	negative	negative	ADJ
aiti-13599	64	4	aspect	aspect	NOUN
aiti-13599	64	5	of	of	ADP
aiti-13599	64	6	this	this	DET
aiti-13599	64	7	approach	approach	NOUN
aiti-13599	64	8	is	be	AUX
aiti-13599	64	9	that	that	SCONJ
aiti-13599	64	10	,	,	PUNCT
aiti-13599	64	11	because	because	SCONJ
aiti-13599	64	12	of	of	ADP
aiti-13599	64	13	its	its	PRON
aiti-13599	64	14	small	small	ADJ
aiti-13599	64	15	size	size	NOUN
aiti-13599	64	16	and	and	CCONJ
aiti-13599	64	17	precise	precise	ADJ
aiti-13599	64	18	construction	construction	NOUN
aiti-13599	64	19	,	,	PUNCT
aiti-13599	64	20	it	it	PRON
aiti-13599	64	21	is	be	AUX
aiti-13599	64	22	more	more	ADV
aiti-13599	64	23	prone	prone	ADJ
aiti-13599	64	24	to	to	ADP
aiti-13599	64	25	faults	fault	NOUN
aiti-13599	64	26	.	.	PUNCT
aiti-13599	65	1	havlena	havlena	PROPN
aiti-13599	65	2	et	et	PROPN
aiti-13599	65	3	al	al	PROPN
aiti-13599	65	4	.	.	PUNCT
aiti-13599	66	1	[	[	X
aiti-13599	66	2	10	10	NUM
aiti-13599	66	3	]	]	PUNCT
aiti-13599	66	4	in	in	ADP
aiti-13599	66	5	2023	2023	NUM
aiti-13599	66	6	,	,	PUNCT
aiti-13599	66	7	proposed	propose	VERB
aiti-13599	66	8	a	a	DET
aiti-13599	66	9	method	method	NOUN
aiti-13599	66	10	to	to	PART
aiti-13599	66	11	lower	lower	VERB
aiti-13599	66	12	the	the	DET
aiti-13599	66	13	false	false	ADJ
aiti-13599	66	14	-	-	PUNCT
aiti-13599	66	15	positive	positive	ADJ
aiti-13599	66	16	rate	rate	NOUN
aiti-13599	66	17	of	of	ADP
aiti-13599	66	18	the	the	DET
aiti-13599	66	19	automata	automata	NOUN
aiti-13599	66	20	-	-	PUNCT
aiti-13599	66	21	based	base	VERB
aiti-13599	66	22	detection	detection	NOUN
aiti-13599	66	23	system	system	NOUN
aiti-13599	66	24	and	and	CCONJ
aiti-13599	66	25	greatly	greatly	ADV
aiti-13599	66	26	enhance	enhance	VERB
aiti-13599	66	27	its	its	PRON
aiti-13599	66	28	performance	performance	NOUN
aiti-13599	66	29	.	.	PUNCT
aiti-13599	67	1	furthermore	furthermore	ADV
aiti-13599	67	2	,	,	PUNCT
aiti-13599	67	3	and	and	CCONJ
aiti-13599	67	4	importantly	importantly	ADV
aiti-13599	67	5	for	for	ADP
aiti-13599	67	6	real	real	ADJ
aiti-13599	67	7	-	-	PUNCT
aiti-13599	67	8	world	world	NOUN
aiti-13599	67	9	implementation	implementation	NOUN
aiti-13599	67	10	,	,	PUNCT
aiti-13599	67	11	a	a	DET
aiti-13599	67	12	technique	technique	NOUN
aiti-13599	67	13	is	be	AUX
aiti-13599	67	14	provided	provide	VERB
aiti-13599	67	15	here	here	ADV
aiti-13599	67	16	that	that	PRON
aiti-13599	67	17	generates	generate	VERB
aiti-13599	67	18	more	more	ADJ
aiti-13599	67	19	details	detail	NOUN
aiti-13599	67	20	regarding	regard	VERB
aiti-13599	67	21	discovered	discover	VERB
aiti-13599	67	22	abnormalities	abnormality	NOUN
aiti-13599	67	23	,	,	PUNCT
aiti-13599	67	24	which	which	PRON
aiti-13599	67	25	is	be	AUX
aiti-13599	67	26	useful	useful	ADJ
aiti-13599	67	27	for	for	ADP
aiti-13599	67	28	real	real	ADJ
aiti-13599	67	29	-	-	PUNCT
aiti-13599	67	30	world	world	NOUN
aiti-13599	67	31	deployment	deployment	NOUN
aiti-13599	67	32	.	.	PUNCT
aiti-13599	68	1	the	the	DET
aiti-13599	68	2	method	method	NOUN
aiti-13599	68	3	is	be	AUX
aiti-13599	68	4	illustrated	illustrate	VERB
aiti-13599	68	5	using	use	VERB
aiti-13599	68	6	iec	iec	PROPN
aiti-13599	68	7	104	104	NUM
aiti-13599	68	8	or	or	CCONJ
aiti-13599	68	9	multimedia	multimedia	NOUN
aiti-13599	68	10	messaging	messaging	NOUN
aiti-13599	68	11	service	service	NOUN
aiti-13599	68	12	(	(	PUNCT
aiti-13599	68	13	mms	mms	NOUN
aiti-13599	68	14	)	)	PUNCT
aiti-13599	68	15	communication	communication	NOUN
aiti-13599	68	16	between	between	ADP
aiti-13599	68	17	multiple	multiple	ADJ
aiti-13599	68	18	industrial	industrial	ADJ
aiti-13599	68	19	control	control	NOUN
aiti-13599	68	20	systems	system	NOUN
aiti-13599	68	21	(	(	PUNCT
aiti-13599	68	22	ics	ics	NOUN
aiti-13599	68	23	)	)	PUNCT
aiti-13599	68	24	systems	system	NOUN
aiti-13599	68	25	.	.	PUNCT
aiti-13599	69	1	however	however	ADV
aiti-13599	69	2	,	,	PUNCT
aiti-13599	69	3	this	this	PRON
aiti-13599	69	4	suggested	suggest	VERB
aiti-13599	69	5	method	method	NOUN
aiti-13599	69	6	’s	’s	PART
aiti-13599	69	7	success	success	NOUN
aiti-13599	69	8	rate	rate	NOUN
aiti-13599	69	9	falls	fall	VERB
aiti-13599	69	10	short	short	ADV
aiti-13599	69	11	of	of	ADP
aiti-13599	69	12	expectations	expectation	NOUN
aiti-13599	69	13	.	.	PUNCT
aiti-13599	70	1	again	again	ADV
aiti-13599	70	2	in	in	ADP
aiti-13599	70	3	2022	2022	NUM
aiti-13599	70	4	,	,	PUNCT
aiti-13599	70	5	battyányi	battyányi	PROPN
aiti-13599	70	6	et	et	PROPN
aiti-13599	70	7	al	al	PROPN
aiti-13599	70	8	.	.	PUNCT
aiti-13599	71	1	[	[	X
aiti-13599	71	2	11	11	NUM
aiti-13599	71	3	]	]	PUNCT
aiti-13599	71	4	defined	define	VERB
aiti-13599	71	5	rough	rough	ADJ
aiti-13599	71	6	-	-	PUNCT
aiti-13599	71	7	set	set	VERB
aiti-13599	71	8	-	-	PUNCT
aiti-13599	71	9	like	like	ADJ
aiti-13599	71	10	approximation	approximation	NOUN
aiti-13599	71	11	spaces	space	NOUN
aiti-13599	71	12	for	for	ADP
aiti-13599	71	13	formal	formal	ADJ
aiti-13599	71	14	languages	language	NOUN
aiti-13599	71	15	over	over	ADP
aiti-13599	71	16	the	the	DET
aiti-13599	71	17	defined	define	VERB
aiti-13599	71	18	alphabetic	alphabetic	ADJ
aiti-13599	71	19	symbols	symbol	NOUN
aiti-13599	71	20	using	use	VERB
aiti-13599	71	21	similarity	similarity	NOUN
aiti-13599	71	22	relations	relation	NOUN
aiti-13599	71	23	.	.	PUNCT
aiti-13599	72	1	a	a	DET
aiti-13599	72	2	methodology	methodology	NOUN
aiti-13599	72	3	to	to	PART
aiti-13599	72	4	be	be	AUX
aiti-13599	72	5	driven	drive	VERB
aiti-13599	72	6	by	by	ADP
aiti-13599	72	7	circumstances	circumstance	NOUN
aiti-13599	72	8	when	when	SCONJ
aiti-13599	72	9	unsure	unsure	ADJ
aiti-13599	72	10	of	of	ADP
aiti-13599	72	11	the	the	DET
aiti-13599	72	12	precise	precise	ADJ
aiti-13599	72	13	characters	character	NOUN
aiti-13599	72	14	that	that	PRON
aiti-13599	72	15	comprise	comprise	VERB
aiti-13599	72	16	a	a	DET
aiti-13599	72	17	text	text	NOUN
aiti-13599	72	18	that	that	PRON
aiti-13599	72	19	must	must	AUX
aiti-13599	72	20	be	be	AUX
aiti-13599	72	21	processed	process	VERB
aiti-13599	72	22	by	by	ADP
aiti-13599	72	23	a	a	DET
aiti-13599	72	24	formal	formal	ADJ
aiti-13599	72	25	system	system	NOUN
aiti-13599	72	26	is	be	AUX
aiti-13599	72	27	put	put	VERB
aiti-13599	72	28	forth	forth	ADP
aiti-13599	72	29	in	in	ADP
aiti-13599	72	30	this	this	DET
aiti-13599	72	31	work	work	NOUN
aiti-13599	72	32	.	.	PUNCT
aiti-13599	73	1	it	it	PRON
aiti-13599	73	2	encompasses	encompass	VERB
aiti-13599	73	3	regular	regular	ADJ
aiti-13599	73	4	and	and	CCONJ
aiti-13599	73	5	context	context	ADV
aiti-13599	73	6	-	-	PUNCT
aiti-13599	73	7	free	free	ADJ
aiti-13599	73	8	cases	case	NOUN
aiti-13599	73	9	and	and	CCONJ
aiti-13599	73	10	specifies	specifie	NOUN
aiti-13599	73	11	lower	low	ADJ
aiti-13599	73	12	and	and	CCONJ
aiti-13599	73	13	higher	high	ADJ
aiti-13599	73	14	approximations	approximation	NOUN
aiti-13599	73	15	of	of	ADP
aiti-13599	73	16	languages	language	NOUN
aiti-13599	73	17	.	.	PUNCT
aiti-13599	74	1	descriptions	description	NOUN
aiti-13599	74	2	of	of	ADP
aiti-13599	74	3	the	the	DET
aiti-13599	74	4	approximate	approximate	ADJ
aiti-13599	74	5	languages	language	NOUN
aiti-13599	74	6	produced	produce	VERB
aiti-13599	74	7	by	by	ADP
aiti-13599	74	8	context	context	NOUN
aiti-13599	74	9	-	-	PUNCT
aiti-13599	74	10	free	free	ADJ
aiti-13599	74	11	grammars	grammar	NOUN
aiti-13599	74	12	or	or	CCONJ
aiti-13599	74	13	recognized	recognize	VERB
aiti-13599	74	14	by	by	ADP
aiti-13599	74	15	dfa	dfa	PROPN
aiti-13599	74	16	are	be	AUX
aiti-13599	74	17	presented	present	VERB
aiti-13599	74	18	.	.	PUNCT
aiti-13599	75	1	this	this	DET
aiti-13599	75	2	method	method	NOUN
aiti-13599	75	3	’s	’s	PART
aiti-13599	75	4	primary	primary	ADJ
aiti-13599	75	5	flaw	flaw	NOUN
aiti-13599	75	6	is	be	AUX
aiti-13599	75	7	the	the	DET
aiti-13599	75	8	absence	absence	NOUN
aiti-13599	75	9	of	of	ADP
aiti-13599	75	10	characterizations	characterization	NOUN
aiti-13599	75	11	for	for	ADP
aiti-13599	75	12	the	the	DET
aiti-13599	75	13	approximate	approximate	ADJ
aiti-13599	75	14	languages	language	NOUN
aiti-13599	75	15	that	that	PRON
aiti-13599	75	16	nfa	nfa	PROPN
aiti-13599	75	17	accepts	accept	VERB
aiti-13599	75	18	.	.	PUNCT
aiti-13599	76	1	in	in	ADP
aiti-13599	76	2	2022	2022	NUM
aiti-13599	76	3	,	,	PUNCT
aiti-13599	76	4	vogrin	vogrin	ADV
aiti-13599	76	5	et	et	PROPN
aiti-13599	76	6	al	al	PROPN
aiti-13599	76	7	.	.	PUNCT
aiti-13599	77	1	[	[	X
aiti-13599	77	2	12	12	NUM
aiti-13599	77	3	]	]	PUNCT
aiti-13599	77	4	proposed	propose	VERB
aiti-13599	77	5	a	a	DET
aiti-13599	77	6	method	method	NOUN
aiti-13599	77	7	that	that	PRON
aiti-13599	77	8	effectively	effectively	ADV
aiti-13599	77	9	traverses	traverse	VERB
aiti-13599	77	10	multiple	multiple	ADJ
aiti-13599	77	11	transitions	transition	NOUN
aiti-13599	77	12	simultaneously	simultaneously	ADV
aiti-13599	77	13	by	by	ADP
aiti-13599	77	14	utilizing	utilize	VERB
aiti-13599	77	15	the	the	DET
aiti-13599	77	16	symbolic	symbolic	ADJ
aiti-13599	77	17	representation	representation	NOUN
aiti-13599	77	18	.	.	PUNCT
aiti-13599	78	1	the	the	DET
aiti-13599	78	2	process	process	NOUN
aiti-13599	78	3	is	be	AUX
aiti-13599	78	4	assessed	assess	VERB
aiti-13599	78	5	using	use	VERB
aiti-13599	78	6	industry	industry	NOUN
aiti-13599	78	7	-	-	PUNCT
aiti-13599	78	8	standard	standard	ADJ
aiti-13599	78	9	communication	communication	NOUN
aiti-13599	78	10	protocol	protocol	NOUN
aiti-13599	78	11	models	model	NOUN
aiti-13599	78	12	and	and	CCONJ
aiti-13599	78	13	biological	biological	ADJ
aiti-13599	78	14	system	system	NOUN
aiti-13599	78	15	models	model	NOUN
aiti-13599	78	16	.	.	PUNCT
aiti-13599	79	1	it	it	PRON
aiti-13599	79	2	is	be	AUX
aiti-13599	79	3	at	at	ADP
aiti-13599	79	4	least	least	ADJ
aiti-13599	79	5	many	many	ADJ
aiti-13599	79	6	times	time	NOUN
aiti-13599	79	7	faster	fast	ADV
aiti-13599	79	8	than	than	ADP
aiti-13599	79	9	the	the	DET
aiti-13599	79	10	previous	previous	ADJ
aiti-13599	79	11	one	one	NOUN
aiti-13599	79	12	,	,	PUNCT
aiti-13599	79	13	according	accord	VERB
aiti-13599	79	14	to	to	ADP
aiti-13599	79	15	the	the	DET
aiti-13599	79	16	results	result	NOUN
aiti-13599	79	17	.	.	PUNCT
aiti-13599	80	1	when	when	SCONJ
aiti-13599	80	2	witness	witness	NOUN
aiti-13599	80	3	automata	automata	NOUN
aiti-13599	80	4	were	be	AUX
aiti-13599	80	5	initially	initially	ADV
aiti-13599	80	6	presented	present	VERB
aiti-13599	80	7	,	,	PUNCT
aiti-13599	80	8	test	test	NOUN
aiti-13599	80	9	sequence	sequence	NOUN
aiti-13599	80	10	composition	composition	NOUN
aiti-13599	80	11	was	be	AUX
aiti-13599	80	12	made	make	VERB
aiti-13599	80	13	possible	possible	ADJ
aiti-13599	80	14	.	.	PUNCT
aiti-13599	81	1	its	its	PRON
aiti-13599	81	2	primary	primary	ADJ
aiti-13599	81	3	flaw	flaw	NOUN
aiti-13599	81	4	is	be	AUX
aiti-13599	81	5	that	that	SCONJ
aiti-13599	81	6	it	it	PRON
aiti-13599	81	7	occasionally	occasionally	ADV
aiti-13599	81	8	yields	yield	VERB
aiti-13599	81	9	results	result	NOUN
aiti-13599	81	10	that	that	PRON
aiti-13599	81	11	are	be	AUX
aiti-13599	81	12	not	not	PART
aiti-13599	81	13	entirely	entirely	ADV
aiti-13599	81	14	correct	correct	ADJ
aiti-13599	81	15	.	.	PUNCT
aiti-13599	82	1	lastly	lastly	ADV
aiti-13599	82	2	,	,	PUNCT
aiti-13599	82	3	recent	recent	ADJ
aiti-13599	82	4	research	research	NOUN
aiti-13599	82	5	has	have	AUX
aiti-13599	82	6	explored	explore	VERB
aiti-13599	82	7	novel	novel	ADJ
aiti-13599	82	8	avenues	avenue	NOUN
aiti-13599	82	9	within	within	ADP
aiti-13599	82	10	automata	automata	NOUN
aiti-13599	82	11	theory	theory	NOUN
aiti-13599	82	12	,	,	PUNCT
aiti-13599	82	13	particularly	particularly	ADV
aiti-13599	82	14	concerning	concern	VERB
aiti-13599	82	15	graph	graph	NOUN
aiti-13599	82	16	operations	operation	NOUN
aiti-13599	82	17	and	and	CCONJ
aiti-13599	82	18	advanced	advanced	ADJ
aiti-13599	82	19	compositions	composition	NOUN
aiti-13599	82	20	,	,	PUNCT
aiti-13599	82	21	including	include	VERB
aiti-13599	82	22	n	n	CCONJ
aiti-13599	82	23	-	-	PUNCT
aiti-13599	82	24	ary	ary	NOUN
aiti-13599	82	25	cartesian	cartesian	ADJ
aiti-13599	82	26	composition	composition	NOUN
aiti-13599	82	27	and	and	CCONJ
aiti-13599	82	28	cartesian	cartesian	ADJ
aiti-13599	82	29	product	product	NOUN
aiti-13599	82	30	of	of	ADP
aiti-13599	82	31	automata	automata	NOUN
aiti-13599	82	32	[	[	PUNCT
aiti-13599	82	33	13	13	NUM
aiti-13599	82	34	-	-	SYM
aiti-13599	82	35	15	15	NUM
aiti-13599	82	36	]	]	PUNCT
aiti-13599	82	37	.	.	PUNCT
aiti-13599	83	1	this	this	DET
aiti-13599	83	2	recent	recent	ADJ
aiti-13599	83	3	wave	wave	NOUN
aiti-13599	83	4	of	of	ADP
aiti-13599	83	5	research	research	NOUN
aiti-13599	83	6	underscores	underscore	VERB
aiti-13599	83	7	the	the	DET
aiti-13599	83	8	dynamic	dynamic	ADJ
aiti-13599	83	9	nature	nature	NOUN
aiti-13599	83	10	of	of	ADP
aiti-13599	83	11	the	the	DET
aiti-13599	83	12	field	field	NOUN
aiti-13599	83	13	,	,	PUNCT
aiti-13599	83	14	driving	drive	VERB
aiti-13599	83	15	it	it	PRON
aiti-13599	83	16	forward	forward	ADV
aiti-13599	83	17	into	into	ADP
aiti-13599	83	18	uncharted	uncharted	ADJ
aiti-13599	83	19	territories	territory	NOUN
aiti-13599	83	20	of	of	ADP
aiti-13599	83	21	exploration	exploration	NOUN
aiti-13599	83	22	and	and	CCONJ
aiti-13599	83	23	innovation	innovation	NOUN
aiti-13599	83	24	,	,	PUNCT
aiti-13599	83	25	contributing	contribute	VERB
aiti-13599	83	26	to	to	ADP
aiti-13599	83	27	the	the	DET
aiti-13599	83	28	foundational	foundational	ADJ
aiti-13599	83	29	understanding	understanding	NOUN
aiti-13599	83	30	of	of	ADP
aiti-13599	83	31	automata	automata	NOUN
aiti-13599	83	32	theory	theory	NOUN
aiti-13599	83	33	and	and	CCONJ
aiti-13599	83	34	its	its	PRON
aiti-13599	83	35	diverse	diverse	ADJ
aiti-13599	83	36	applications	application	NOUN
aiti-13599	83	37	.	.	PUNCT
aiti-13599	84	1	the	the	DET
aiti-13599	84	2	primary	primary	ADJ
aiti-13599	84	3	flaw	flaw	NOUN
aiti-13599	84	4	in	in	ADP
aiti-13599	84	5	this	this	DET
aiti-13599	84	6	approach	approach	NOUN
aiti-13599	84	7	is	be	AUX
aiti-13599	84	8	that	that	SCONJ
aiti-13599	84	9	the	the	DET
aiti-13599	84	10	success	success	NOUN
aiti-13599	84	11	rate	rate	NOUN
aiti-13599	84	12	is	be	AUX
aiti-13599	84	13	not	not	PART
aiti-13599	84	14	high	high	ADJ
aiti-13599	84	15	enough	enough	ADV
aiti-13599	84	16	.	.	PUNCT
aiti-13599	85	1	the	the	DET
aiti-13599	85	2	objective	objective	NOUN
aiti-13599	85	3	of	of	ADP
aiti-13599	85	4	this	this	DET
aiti-13599	85	5	study	study	NOUN
aiti-13599	85	6	is	be	AUX
aiti-13599	85	7	to	to	PART
aiti-13599	85	8	use	use	VERB
aiti-13599	85	9	an	an	DET
aiti-13599	85	10	organized	organize	VERB
aiti-13599	85	11	grid	grid	NOUN
aiti-13599	85	12	-	-	PUNCT
aiti-13599	85	13	based	base	VERB
aiti-13599	85	14	method	method	NOUN
aiti-13599	85	15	to	to	PART
aiti-13599	85	16	make	make	VERB
aiti-13599	85	17	the	the	DET
aiti-13599	85	18	construction	construction	NOUN
aiti-13599	85	19	of	of	ADP
aiti-13599	85	20	sophisticated	sophisticated	ADJ
aiti-13599	85	21	finite	finite	ADJ
aiti-13599	85	22	automata	automata	NOUN
aiti-13599	85	23	simpler	simple	ADJ
aiti-13599	85	24	.	.	PUNCT
aiti-13599	86	1	conversely	conversely	ADV
aiti-13599	86	2	,	,	PUNCT
aiti-13599	86	3	product	product	NOUN
aiti-13599	86	4	automata	automata	NOUN
aiti-13599	86	5	is	be	AUX
aiti-13599	86	6	designed	design	VERB
aiti-13599	86	7	to	to	PART
aiti-13599	86	8	combine	combine	VERB
aiti-13599	86	9	several	several	ADJ
aiti-13599	86	10	automata	automata	NOUN
aiti-13599	86	11	into	into	ADP
aiti-13599	86	12	a	a	DET
aiti-13599	86	13	single	single	ADJ
aiti-13599	86	14	automaton	automaton	NOUN
aiti-13599	86	15	to	to	PART
aiti-13599	86	16	integrate	integrate	VERB
aiti-13599	86	17	different	different	ADJ
aiti-13599	86	18	computational	computational	ADJ
aiti-13599	86	19	processes	process	NOUN
aiti-13599	86	20	.	.	PUNCT
aiti-13599	87	1	combining	combine	VERB
aiti-13599	87	2	these	these	DET
aiti-13599	87	3	approaches	approach	NOUN
aiti-13599	87	4	offers	offer	VERB
aiti-13599	87	5	novel	novel	ADJ
aiti-13599	87	6	methods	method	NOUN
aiti-13599	87	7	to	to	PART
aiti-13599	87	8	improve	improve	VERB
aiti-13599	87	9	automata	automata	NOUN
aiti-13599	87	10	construction	construction	NOUN
aiti-13599	87	11	’s	’s	PART
aiti-13599	87	12	scalability	scalability	NOUN
aiti-13599	87	13	and	and	CCONJ
aiti-13599	87	14	efficiency	efficiency	NOUN
aiti-13599	87	15	,	,	PUNCT
aiti-13599	87	16	expanding	expand	VERB
aiti-13599	87	17	automata	automata	NOUN
aiti-13599	87	18	theory	theory	NOUN
aiti-13599	87	19	’s	’s	PART
aiti-13599	87	20	field	field	NOUN
aiti-13599	87	21	of	of	ADP
aiti-13599	87	22	study	study	NOUN
aiti-13599	87	23	and	and	CCONJ
aiti-13599	87	24	useful	useful	ADJ
aiti-13599	87	25	applications	application	NOUN
aiti-13599	87	26	.	.	PUNCT
aiti-13599	88	1	the	the	DET
aiti-13599	88	2	scalability	scalability	NOUN
aiti-13599	88	3	of	of	ADP
aiti-13599	88	4	this	this	DET
aiti-13599	88	5	built	build	VERB
aiti-13599	88	6	automated	automate	VERB
aiti-13599	88	7	system	system	NOUN
aiti-13599	88	8	will	will	AUX
aiti-13599	88	9	aid	aid	VERB
aiti-13599	88	10	industries	industry	NOUN
aiti-13599	88	11	like	like	ADP
aiti-13599	88	12	automobile	automobile	NOUN
aiti-13599	88	13	manufacturing	manufacturing	NOUN
aiti-13599	88	14	and	and	CCONJ
aiti-13599	88	15	logistics	logistic	NOUN
aiti-13599	88	16	in	in	ADP
aiti-13599	88	17	the	the	DET
aiti-13599	88	18	future	future	NOUN
aiti-13599	88	19	.	.	PUNCT
aiti-13599	89	1	let	let	VERB
aiti-13599	89	2	us	we	PRON
aiti-13599	89	3	look	look	VERB
aiti-13599	89	4	at	at	ADP
aiti-13599	89	5	some	some	DET
aiti-13599	89	6	more	more	ADJ
aiti-13599	89	7	future	future	ADJ
aiti-13599	89	8	automation	automation	NOUN
aiti-13599	89	9	options	option	NOUN
aiti-13599	89	10	.	.	PUNCT
aiti-13599	90	1	this	this	DET
aiti-13599	90	2	developed	develop	VERB
aiti-13599	90	3	method	method	NOUN
aiti-13599	90	4	will	will	AUX
aiti-13599	90	5	have	have	VERB
aiti-13599	90	6	a	a	DET
aiti-13599	90	7	big	big	ADJ
aiti-13599	90	8	impact	impact	NOUN
aiti-13599	90	9	on	on	ADP
aiti-13599	90	10	the	the	DET
aiti-13599	90	11	robotics	robotic	NOUN
aiti-13599	90	12	industry	industry	NOUN
aiti-13599	90	13	in	in	ADP
aiti-13599	90	14	the	the	DET
aiti-13599	90	15	coming	come	VERB
aiti-13599	90	16	years	year	NOUN
aiti-13599	90	17	.	.	PUNCT
aiti-13599	91	1	this	this	DET
aiti-13599	91	2	technique	technique	NOUN
aiti-13599	91	3	can	can	AUX
aiti-13599	91	4	be	be	AUX
aiti-13599	91	5	used	use	VERB
aiti-13599	91	6	to	to	PART
aiti-13599	91	7	create	create	VERB
aiti-13599	91	8	and	and	CCONJ
aiti-13599	91	9	build	build	VERB
aiti-13599	91	10	complex	complex	ADJ
aiti-13599	91	11	robots	robot	NOUN
aiti-13599	91	12	.	.	PUNCT
aiti-13599	92	1	this	this	DET
aiti-13599	92	2	strategy	strategy	NOUN
aiti-13599	92	3	will	will	AUX
aiti-13599	92	4	play	play	VERB
aiti-13599	92	5	an	an	DET
aiti-13599	92	6	important	important	ADJ
aiti-13599	92	7	role	role	NOUN
aiti-13599	92	8	in	in	ADP
aiti-13599	92	9	the	the	DET
aiti-13599	92	10	field	field	NOUN
aiti-13599	92	11	of	of	ADP
aiti-13599	92	12	self	self	NOUN
aiti-13599	92	13	-	-	PUNCT
aiti-13599	92	14	driving	drive	VERB
aiti-13599	92	15	cars	car	NOUN
aiti-13599	92	16	,	,	PUNCT
aiti-13599	92	17	which	which	PRON
aiti-13599	92	18	is	be	AUX
aiti-13599	92	19	a	a	DET
aiti-13599	92	20	rising	rise	VERB
aiti-13599	92	21	area	area	NOUN
aiti-13599	92	22	of	of	ADP
aiti-13599	92	23	technology	technology	NOUN
aiti-13599	92	24	.	.	PUNCT
aiti-13599	93	1	2	2	X
aiti-13599	93	2	.	.	X
aiti-13599	93	3	notation	notation	NOUN
aiti-13599	93	4	and	and	CCONJ
aiti-13599	93	5	basic	basic	ADJ
aiti-13599	93	6	definitions	definition	NOUN
aiti-13599	93	7	(	(	PUNCT
aiti-13599	93	8	1	1	X
aiti-13599	93	9	)	)	PUNCT
aiti-13599	93	10	deterministic	deterministic	ADJ
aiti-13599	93	11	finite	finite	NOUN
aiti-13599	93	12	automata	automata	NOUN
aiti-13599	93	13	(	(	PUNCT
aiti-13599	93	14	dfa	dfa	PROPN
aiti-13599	93	15	):	):	PUNCT
aiti-13599	93	16	dfa	dfa	PROPN
aiti-13599	93	17	consists	consist	VERB
aiti-13599	93	18	of	of	ADP
aiti-13599	93	19	a	a	DET
aiti-13599	93	20	5	5	NUM
aiti-13599	93	21	-	-	PUNCT
aiti-13599	93	22	tuple	tuple	NOUN
aiti-13599	93	23	m	m	NOUN
aiti-13599	93	24	=	=	SYM
aiti-13599	93	25	(	(	PUNCT
aiti-13599	93	26	q	q	PROPN
aiti-13599	93	27	,	,	PUNCT
aiti-13599	93	28	σ	σ	PROPN
aiti-13599	93	29	,	,	PUNCT
aiti-13599	93	30	δ	δ	PROPN
aiti-13599	93	31	,	,	PUNCT
aiti-13599	93	32	q0	q0	PROPN
aiti-13599	93	33	,	,	PUNCT
aiti-13599	93	34	f	f	PROPN
aiti-13599	93	35	)	)	PUNCT
aiti-13599	93	36	,	,	PUNCT
aiti-13599	93	37	where	where	SCONJ
aiti-13599	93	38	q	q	NOUN
aiti-13599	93	39	is	be	AUX
aiti-13599	93	40	a	a	DET
aiti-13599	93	41	finite	finite	ADJ
aiti-13599	93	42	set	set	NOUN
aiti-13599	93	43	of	of	ADP
aiti-13599	93	44	states	state	NOUN
aiti-13599	93	45	,	,	PUNCT
aiti-13599	93	46	σ	σ	PROPN
aiti-13599	93	47	is	be	AUX
aiti-13599	93	48	the	the	DET
aiti-13599	93	49	finite	finite	ADJ
aiti-13599	93	50	or	or	CCONJ
aiti-13599	93	51	non	non	ADJ
aiti-13599	93	52	-	-	ADJ
aiti-13599	93	53	empty	empty	ADJ
aiti-13599	93	54	set	set	NOUN
aiti-13599	93	55	of	of	ADP
aiti-13599	93	56	input	input	NOUN
aiti-13599	93	57	symbols	symbol	NOUN
aiti-13599	93	58	called	call	VERB
aiti-13599	93	59	the	the	DET
aiti-13599	93	60	alphabet	alphabet	NOUN
aiti-13599	93	61	,	,	PUNCT
aiti-13599	93	62	δ	δ	PROPN
aiti-13599	93	63	is	be	AUX
aiti-13599	93	64	the	the	DET
aiti-13599	93	65	transition	transition	NOUN
aiti-13599	93	66	function	function	NOUN
aiti-13599	93	67	defined	define	VERB
aiti-13599	93	68	as	as	ADP
aiti-13599	93	69	q	q	PROPN
aiti-13599	93	70	×	×	PROPN
aiti-13599	93	71	σ	σ	PROPN
aiti-13599	93	72	→	→	SYM
aiti-13599	93	73	q	q	ADJ
aiti-13599	93	74	,	,	PUNCT
aiti-13599	93	75	q0	q0	PROPN
aiti-13599	93	76	is	be	AUX
aiti-13599	93	77	the	the	DET
aiti-13599	93	78	initial	initial	ADJ
aiti-13599	93	79	/	/	SYM
aiti-13599	93	80	start	start	NOUN
aiti-13599	93	81	state	state	NOUN
aiti-13599	93	82	(	(	PUNCT
aiti-13599	93	83	q0	q0	PROPN
aiti-13599	93	84	∈	∈	PROPN
aiti-13599	93	85	q	q	NOUN
aiti-13599	93	86	)	)	PUNCT
aiti-13599	93	87	,	,	PUNCT
aiti-13599	93	88	f	f	PROPN
aiti-13599	93	89	represents	represent	VERB
aiti-13599	93	90	the	the	DET
aiti-13599	93	91	set	set	NOUN
aiti-13599	93	92	of	of	ADP
aiti-13599	93	93	accepting	accept	VERB
aiti-13599	93	94	or	or	CCONJ
aiti-13599	93	95	final	final	ADJ
aiti-13599	93	96	states	state	NOUN
aiti-13599	93	97	within	within	ADP
aiti-13599	93	98	the	the	DET
aiti-13599	93	99	set	set	NOUN
aiti-13599	93	100	of	of	ADP
aiti-13599	93	101	all	all	DET
aiti-13599	93	102	states	state	NOUN
aiti-13599	93	103	(	(	PUNCT
aiti-13599	93	104	f	f	PROPN
aiti-13599	93	105	⊆	⊆	NUM
aiti-13599	93	106	q	q	NOUN
aiti-13599	93	107	)	)	PUNCT
aiti-13599	93	108	.	.	PUNCT
aiti-13599	94	1	the	the	DET
aiti-13599	94	2	notations	notation	NOUN
aiti-13599	94	3	for	for	ADP
aiti-13599	94	4	the	the	DET
aiti-13599	94	5	states	state	NOUN
aiti-13599	94	6	and	and	CCONJ
aiti-13599	94	7	transitions	transition	NOUN
aiti-13599	94	8	are	be	AUX
aiti-13599	94	9	shown	show	VERB
aiti-13599	94	10	in	in	ADP
aiti-13599	94	11	fig	fig	NOUN
aiti-13599	94	12	.	.	PUNCT
aiti-13599	95	1	1	1	NUM
aiti-13599	95	2	.	.	X
aiti-13599	95	3	242	242	NUM
aiti-13599	95	4	advances	advance	NOUN
aiti-13599	95	5	in	in	ADP
aiti-13599	95	6	technology	technology	NOUN
aiti-13599	95	7	innovation	innovation	NOUN
aiti-13599	95	8	,	,	PUNCT
aiti-13599	95	9	vol	vol	NOUN
aiti-13599	95	10	.	.	PROPN
aiti-13599	95	11	9	9	NUM
aiti-13599	95	12	,	,	PUNCT
aiti-13599	95	13	no	no	INTJ
aiti-13599	95	14	.	.	NOUN
aiti-13599	95	15	3	3	NUM
aiti-13599	95	16	,	,	PUNCT
aiti-13599	95	17	2024	2024	NUM
aiti-13599	95	18	,	,	PUNCT
aiti-13599	95	19	pp	pp	ADV
aiti-13599	95	20	.	.	PUNCT
aiti-13599	96	1	239	239	NUM
aiti-13599	96	2	-	-	SYM
aiti-13599	96	3	255	255	NUM
aiti-13599	96	4	(	(	PUNCT
aiti-13599	96	5	2	2	NUM
aiti-13599	96	6	)	)	PUNCT
aiti-13599	96	7	non	non	ADJ
aiti-13599	96	8	-	-	ADJ
aiti-13599	96	9	deterministic	deterministic	ADJ
aiti-13599	96	10	finite	finite	NOUN
aiti-13599	96	11	automata	automata	NOUN
aiti-13599	96	12	(	(	PUNCT
aiti-13599	96	13	nfa	nfa	PROPN
aiti-13599	96	14	):	):	PUNCT
aiti-13599	96	15	similar	similar	ADJ
aiti-13599	96	16	to	to	ADP
aiti-13599	96	17	dfa	dfa	PROPN
aiti-13599	96	18	,	,	PUNCT
aiti-13599	96	19	except	except	SCONJ
aiti-13599	96	20	that	that	SCONJ
aiti-13599	96	21	the	the	DET
aiti-13599	96	22	transition	transition	NOUN
aiti-13599	96	23	function	function	NOUN
aiti-13599	96	24	δ	δ	PROPN
aiti-13599	96	25	is	be	AUX
aiti-13599	96	26	defined	define	VERB
aiti-13599	96	27	as	as	ADP
aiti-13599	96	28	q	q	PROPN
aiti-13599	96	29	×	×	PROPN
aiti-13599	96	30	σ	σ	X
aiti-13599	96	31	→	→	SYM
aiti-13599	96	32	2q	2q	NUM
aiti-13599	96	33	.	.	PUNCT
aiti-13599	97	1	it	it	PRON
aiti-13599	97	2	is	be	AUX
aiti-13599	97	3	the	the	DET
aiti-13599	97	4	finite	finite	ADJ
aiti-13599	97	5	automata	automata	NOUN
aiti-13599	97	6	that	that	PRON
aiti-13599	97	7	allows	allow	VERB
aiti-13599	97	8	multiple	multiple	ADJ
aiti-13599	97	9	transitions	transition	NOUN
aiti-13599	97	10	for	for	ADP
aiti-13599	97	11	a	a	DET
aiti-13599	97	12	single	single	ADJ
aiti-13599	97	13	input	input	NOUN
aiti-13599	97	14	alphabet	alphabet	NOUN
aiti-13599	97	15	and	and	CCONJ
aiti-13599	97	16	,	,	PUNCT
aiti-13599	97	17	it	it	PRON
aiti-13599	97	18	does	do	AUX
aiti-13599	97	19	n’t	not	PART
aiti-13599	97	20	contain	contain	VERB
aiti-13599	97	21	a	a	DET
aiti-13599	97	22	dead	dead	ADJ
aiti-13599	97	23	or	or	CCONJ
aiti-13599	97	24	trap	trap	NOUN
aiti-13599	97	25	state	state	NOUN
aiti-13599	97	26	.	.	PUNCT
aiti-13599	98	1	(	(	PUNCT
aiti-13599	98	2	3	3	X
aiti-13599	98	3	)	)	PUNCT
aiti-13599	98	4	languages	language	NOUN
aiti-13599	98	5	accepted	accept	VERB
aiti-13599	98	6	by	by	ADP
aiti-13599	98	7	dfa	dfa	PROPN
aiti-13599	98	8	:	:	PUNCT
aiti-13599	98	9	the	the	DET
aiti-13599	98	10	language	language	NOUN
aiti-13599	98	11	accepted	accept	VERB
aiti-13599	98	12	by	by	ADP
aiti-13599	98	13	dfa	dfa	PROPN
aiti-13599	98	14	m	m	PROPN
aiti-13599	98	15	=	=	SYM
aiti-13599	98	16	(	(	PUNCT
aiti-13599	98	17	q	q	PROPN
aiti-13599	98	18	,	,	PUNCT
aiti-13599	98	19	σ	σ	PROPN
aiti-13599	98	20	,	,	PUNCT
aiti-13599	98	21	δ	δ	PROPN
aiti-13599	98	22	,	,	PUNCT
aiti-13599	98	23	q0	q0	PROPN
aiti-13599	98	24	,	,	PUNCT
aiti-13599	98	25	f	f	X
aiti-13599	98	26	)	)	PUNCT
aiti-13599	98	27	is	be	AUX
aiti-13599	98	28	the	the	DET
aiti-13599	98	29	set	set	NOUN
aiti-13599	98	30	of	of	ADP
aiti-13599	98	31	strings	string	NOUN
aiti-13599	98	32	σ	σ	NOUN
aiti-13599	98	33	accepted	accept	VERB
aiti-13599	98	34	by	by	ADP
aiti-13599	98	35	m	m	PROPN
aiti-13599	98	36	,	,	PUNCT
aiti-13599	98	37	i.e.	i.e.	X
aiti-13599	98	38	,	,	PUNCT
aiti-13599	98	39	l(m	l(m	PROPN
aiti-13599	98	40	)	)	PUNCT
aiti-13599	99	1	=	=	PRON
aiti-13599	99	2	{	{	PUNCT
aiti-13599	99	3	w	w	PROPN
aiti-13599	99	4	∈	∈	PROPN
aiti-13599	99	5	σ	σ	PROPN
aiti-13599	99	6	*	*	PROPN
aiti-13599	99	7	/	/	SYM
aiti-13599	99	8	δ	δ	PROPN
aiti-13599	99	9	(	(	PUNCT
aiti-13599	99	10	q0	q0	PROPN
aiti-13599	99	11	,	,	PUNCT
aiti-13599	99	12	w	w	NOUN
aiti-13599	99	13	)	)	PUNCT
aiti-13599	99	14	is	be	AUX
aiti-13599	99	15	in	in	ADP
aiti-13599	99	16	f	f	PROPN
aiti-13599	99	17	}	}	PUNCT
aiti-13599	99	18	.	.	PUNCT
aiti-13599	100	1	(	(	PUNCT
aiti-13599	100	2	4	4	X
aiti-13599	100	3	)	)	PUNCT
aiti-13599	100	4	input	input	NOUN
aiti-13599	100	5	strings	string	NOUN
aiti-13599	100	6	and	and	CCONJ
aiti-13599	100	7	symbols	symbol	NOUN
aiti-13599	100	8	:	:	PUNCT
aiti-13599	100	9	sequences	sequence	NOUN
aiti-13599	100	10	of	of	ADP
aiti-13599	100	11	symbols	symbol	NOUN
aiti-13599	100	12	from	from	ADP
aiti-13599	100	13	the	the	DET
aiti-13599	100	14	input	input	NOUN
aiti-13599	100	15	alphabet	alphabet	NOUN
aiti-13599	100	16	are	be	AUX
aiti-13599	100	17	used	use	VERB
aiti-13599	100	18	to	to	PART
aiti-13599	100	19	drive	drive	VERB
aiti-13599	100	20	the	the	DET
aiti-13599	100	21	transitions	transition	NOUN
aiti-13599	100	22	of	of	ADP
aiti-13599	100	23	the	the	DET
aiti-13599	100	24	automaton	automaton	NOUN
aiti-13599	100	25	.	.	PUNCT
aiti-13599	101	1	strings	string	NOUN
aiti-13599	101	2	are	be	AUX
aiti-13599	101	3	typically	typically	ADV
aiti-13599	101	4	represented	represent	VERB
aiti-13599	101	5	as	as	ADP
aiti-13599	101	6	sequences	sequence	NOUN
aiti-13599	101	7	of	of	ADP
aiti-13599	101	8	symbols	symbol	NOUN
aiti-13599	101	9	from	from	ADP
aiti-13599	101	10	the	the	DET
aiti-13599	101	11	input	input	NOUN
aiti-13599	101	12	alphabet	alphabet	NOUN
aiti-13599	101	13	,	,	PUNCT
aiti-13599	101	14	e.g.	e.g.	ADV
aiti-13599	101	15	,	,	PUNCT
aiti-13599	101	16	w	w	PROPN
aiti-13599	101	17	=	=	SYM
aiti-13599	101	18	a1a2	a1a2	PROPN
aiti-13599	101	19	...	...	PUNCT
aiti-13599	101	20	an	an	NOUN
aiti-13599	101	21	,	,	PUNCT
aiti-13599	101	22	where	where	SCONJ
aiti-13599	101	23	each	each	PRON
aiti-13599	101	24	ai	ai	VERB
aiti-13599	101	25	∈	∈	PROPN
aiti-13599	101	26	σ	σ	PROPN
aiti-13599	101	27	.	.	PUNCT
aiti-13599	102	1	(	(	PUNCT
aiti-13599	102	2	5	5	NUM
aiti-13599	102	3	)	)	PUNCT
aiti-13599	102	4	number	number	NOUN
aiti-13599	102	5	of	of	ADP
aiti-13599	102	6	occurrences	occurrence	NOUN
aiti-13599	102	7	of	of	ADP
aiti-13599	102	8	a	a	DET
aiti-13599	102	9	symbol	symbol	NOUN
aiti-13599	102	10	‘	'	PUNCT
aiti-13599	102	11	a	a	PRON
aiti-13599	102	12	’	'	PUNCT
aiti-13599	102	13	in	in	ADP
aiti-13599	102	14	a	a	DET
aiti-13599	102	15	string	string	NOUN
aiti-13599	102	16	‘	'	PUNCT
aiti-13599	102	17	w	w	NOUN
aiti-13599	102	18	’	'	PUNCT
aiti-13599	102	19	:	:	PUNCT
aiti-13599	102	20	denoted	denote	VERB
aiti-13599	102	21	as	as	ADP
aiti-13599	102	22	n(a	n(a	NOUN
aiti-13599	102	23	)	)	PUNCT
aiti-13599	102	24	,	,	PUNCT
aiti-13599	102	25	represents	represent	VERB
aiti-13599	102	26	the	the	DET
aiti-13599	102	27	count	count	NOUN
aiti-13599	102	28	of	of	ADP
aiti-13599	102	29	occurrences	occurrence	NOUN
aiti-13599	102	30	of	of	ADP
aiti-13599	102	31	the	the	DET
aiti-13599	102	32	symbol	symbol	NOUN
aiti-13599	102	33	‘	'	PUNCT
aiti-13599	102	34	a	a	PRON
aiti-13599	102	35	’	'	PUNCT
aiti-13599	102	36	in	in	ADP
aiti-13599	102	37	the	the	DET
aiti-13599	102	38	string	string	NOUN
aiti-13599	102	39	‘	'	PUNCT
aiti-13599	102	40	w	w	NOUN
aiti-13599	102	41	’	'	PUNCT
aiti-13599	102	42	.	.	PUNCT
aiti-13599	103	1	(	(	PUNCT
aiti-13599	103	2	6	6	X
aiti-13599	103	3	)	)	PUNCT
aiti-13599	103	4	length	length	NOUN
aiti-13599	103	5	of	of	ADP
aiti-13599	103	6	a	a	DET
aiti-13599	103	7	string	string	NOUN
aiti-13599	103	8	‘	'	PUNCT
aiti-13599	103	9	w	w	NOUN
aiti-13599	103	10	’	'	PUNCT
aiti-13599	103	11	:	:	PUNCT
aiti-13599	103	12	denoted	denote	VERB
aiti-13599	103	13	as	as	ADP
aiti-13599	103	14	|w|	|w|	PROPN
aiti-13599	103	15	,	,	PUNCT
aiti-13599	103	16	it	it	PRON
aiti-13599	103	17	represents	represent	VERB
aiti-13599	103	18	the	the	DET
aiti-13599	103	19	number	number	NOUN
aiti-13599	103	20	of	of	ADP
aiti-13599	103	21	symbols	symbol	NOUN
aiti-13599	103	22	in	in	ADP
aiti-13599	103	23	the	the	DET
aiti-13599	103	24	string	string	NOUN
aiti-13599	103	25	‘	'	PUNCT
aiti-13599	103	26	w	w	NOUN
aiti-13599	103	27	’	'	PUNCT
aiti-13599	103	28	.	.	PUNCT
aiti-13599	104	1	(	(	PUNCT
aiti-13599	104	2	7	7	X
aiti-13599	104	3	)	)	PUNCT
aiti-13599	104	4	empty	empty	ADJ
aiti-13599	104	5	string	string	NOUN
aiti-13599	104	6	:	:	PUNCT
aiti-13599	104	7	denoted	denote	VERB
aiti-13599	104	8	as	as	ADP
aiti-13599	104	9	ε	ε	PROPN
aiti-13599	104	10	,	,	PUNCT
aiti-13599	104	11	it	it	PRON
aiti-13599	104	12	represents	represent	VERB
aiti-13599	104	13	the	the	DET
aiti-13599	104	14	string	string	NOUN
aiti-13599	104	15	with	with	ADP
aiti-13599	104	16	zero	zero	NUM
aiti-13599	104	17	symbols	symbol	NOUN
aiti-13599	104	18	.	.	PUNCT
aiti-13599	105	1	(	(	PUNCT
aiti-13599	105	2	8)	8)	NUM
aiti-13599	105	3	language	language	NOUN
aiti-13599	105	4	:	:	PUNCT
aiti-13599	105	5	denoted	denote	VERB
aiti-13599	105	6	as	as	ADP
aiti-13599	105	7	l	l	NOUN
aiti-13599	105	8	,	,	PUNCT
aiti-13599	105	9	it	it	PRON
aiti-13599	105	10	represents	represent	VERB
aiti-13599	105	11	a	a	DET
aiti-13599	105	12	set	set	NOUN
aiti-13599	105	13	of	of	ADP
aiti-13599	105	14	strings	string	NOUN
aiti-13599	105	15	over	over	ADP
aiti-13599	105	16	some	some	DET
aiti-13599	105	17	alphabet	alphabet	NOUN
aiti-13599	105	18	.	.	PUNCT
aiti-13599	106	1	(	(	PUNCT
aiti-13599	106	2	9	9	X
aiti-13599	106	3	)	)	PUNCT
aiti-13599	106	4	cartesian	cartesian	ADJ
aiti-13599	106	5	product	product	NOUN
aiti-13599	106	6	:	:	PUNCT
aiti-13599	106	7	given	give	VERB
aiti-13599	106	8	two	two	NUM
aiti-13599	106	9	sets	set	NOUN
aiti-13599	106	10	a	a	PRON
aiti-13599	106	11	and	and	CCONJ
aiti-13599	106	12	b	b	NOUN
aiti-13599	106	13	,	,	PUNCT
aiti-13599	106	14	the	the	DET
aiti-13599	106	15	cartesian	cartesian	ADJ
aiti-13599	106	16	product	product	NOUN
aiti-13599	106	17	a	a	DET
aiti-13599	106	18	×	×	PROPN
aiti-13599	106	19	b	b	NOUN
aiti-13599	106	20	is	be	AUX
aiti-13599	106	21	the	the	DET
aiti-13599	106	22	set	set	NOUN
aiti-13599	106	23	of	of	ADP
aiti-13599	106	24	all	all	DET
aiti-13599	106	25	ordered	order	VERB
aiti-13599	106	26	pairs	pair	NOUN
aiti-13599	106	27	(	(	PUNCT
aiti-13599	106	28	a	a	DET
aiti-13599	106	29	,	,	PUNCT
aiti-13599	106	30	b	b	NOUN
aiti-13599	106	31	)	)	PUNCT
aiti-13599	106	32	where	where	SCONJ
aiti-13599	106	33	a	a	PRON
aiti-13599	106	34	is	be	AUX
aiti-13599	106	35	an	an	DET
aiti-13599	106	36	element	element	NOUN
aiti-13599	106	37	of	of	ADP
aiti-13599	106	38	a	a	PRON
aiti-13599	106	39	and	and	CCONJ
aiti-13599	106	40	b	b	NOUN
aiti-13599	106	41	is	be	AUX
aiti-13599	106	42	an	an	DET
aiti-13599	106	43	element	element	NOUN
aiti-13599	106	44	of	of	ADP
aiti-13599	106	45	b.	b.	PROPN
aiti-13599	106	46	in	in	ADP
aiti-13599	106	47	mathematical	mathematical	ADJ
aiti-13599	106	48	notation	notation	NOUN
aiti-13599	106	49	:	:	PUNCT
aiti-13599	106	50	a	a	DET
aiti-13599	106	51	×	×	PROPN
aiti-13599	106	52	b	b	X
aiti-13599	106	53	=	=	PRON
aiti-13599	106	54	{	{	PUNCT
aiti-13599	106	55	(	(	PUNCT
aiti-13599	106	56	a	a	DET
aiti-13599	106	57	,	,	PUNCT
aiti-13599	106	58	b	b	NOUN
aiti-13599	106	59	)	)	PUNCT
aiti-13599	106	60	∣	∣	VERB
aiti-13599	106	61	a	a	DET
aiti-13599	106	62	∈	∈	PROPN
aiti-13599	106	63	a	a	PRON
aiti-13599	106	64	and	and	CCONJ
aiti-13599	107	1	b	b	NOUN
aiti-13599	107	2	∈	∈	PROPN
aiti-13599	107	3	b	b	NOUN
aiti-13599	107	4	}	}	PUNCT
aiti-13599	107	5	.	.	PUNCT
aiti-13599	108	1	the	the	DET
aiti-13599	108	2	cartesian	cartesian	ADJ
aiti-13599	108	3	product	product	NOUN
aiti-13599	108	4	a	a	DET
aiti-13599	108	5	×	×	PROPN
aiti-13599	108	6	b	b	PROPN
aiti-13599	108	7	contains	contain	VERB
aiti-13599	108	8	all	all	DET
aiti-13599	108	9	possible	possible	ADJ
aiti-13599	108	10	combinations	combination	NOUN
aiti-13599	108	11	of	of	ADP
aiti-13599	108	12	elements	element	NOUN
aiti-13599	108	13	from	from	ADP
aiti-13599	108	14	sets	set	NOUN
aiti-13599	108	15	a	a	PRON
aiti-13599	108	16	and	and	CCONJ
aiti-13599	108	17	b	b	NOUN
aiti-13599	108	18	,	,	PUNCT
aiti-13599	108	19	preserving	preserve	VERB
aiti-13599	108	20	the	the	DET
aiti-13599	108	21	order	order	NOUN
aiti-13599	108	22	of	of	ADP
aiti-13599	108	23	elements	element	NOUN
aiti-13599	108	24	.	.	PUNCT
aiti-13599	109	1	fig	fig	NOUN
aiti-13599	109	2	.	.	PUNCT
aiti-13599	110	1	1	1	NUM
aiti-13599	110	2	notations	notation	NOUN
aiti-13599	110	3	3	3	NUM
aiti-13599	110	4	.	.	NOUN
aiti-13599	110	5	methodology	methodology	NOUN
aiti-13599	110	6	grid	grid	NOUN
aiti-13599	110	7	and	and	CCONJ
aiti-13599	110	8	product	product	NOUN
aiti-13599	110	9	automata	automata	NOUN
aiti-13599	110	10	methods	method	NOUN
aiti-13599	110	11	are	be	AUX
aiti-13599	110	12	essential	essential	ADJ
aiti-13599	110	13	to	to	PART
aiti-13599	110	14	develop	develop	VERB
aiti-13599	110	15	and	and	CCONJ
aiti-13599	110	16	analyze	analyze	VERB
aiti-13599	110	17	the	the	DET
aiti-13599	110	18	various	various	ADJ
aiti-13599	110	19	aspects	aspect	NOUN
aiti-13599	110	20	of	of	ADP
aiti-13599	110	21	automata	automata	NOUN
aiti-13599	110	22	,	,	PUNCT
aiti-13599	110	23	leading	lead	VERB
aiti-13599	110	24	to	to	ADP
aiti-13599	110	25	better	well	ADJ
aiti-13599	110	26	computational	computational	ADJ
aiti-13599	110	27	models	model	NOUN
aiti-13599	110	28	due	due	ADP
aiti-13599	110	29	to	to	ADP
aiti-13599	110	30	their	their	PRON
aiti-13599	110	31	ability	ability	NOUN
aiti-13599	110	32	to	to	PART
aiti-13599	110	33	facilitate	facilitate	VERB
aiti-13599	110	34	the	the	DET
aiti-13599	110	35	faster	fast	ADJ
aiti-13599	110	36	design	design	NOUN
aiti-13599	110	37	of	of	ADP
aiti-13599	110	38	complex	complex	ADJ
aiti-13599	110	39	automaton	automaton	NOUN
aiti-13599	110	40	logistics	logistic	NOUN
aiti-13599	110	41	.	.	PUNCT
aiti-13599	111	1	specifically	specifically	ADV
aiti-13599	111	2	,	,	PUNCT
aiti-13599	111	3	the	the	DET
aiti-13599	111	4	grid	grid	NOUN
aiti-13599	111	5	automata	automata	NOUN
aiti-13599	111	6	offers	offer	VERB
aiti-13599	111	7	a	a	DET
aiti-13599	111	8	systematic	systematic	ADJ
aiti-13599	111	9	way	way	NOUN
aiti-13599	111	10	to	to	PART
aiti-13599	111	11	manage	manage	VERB
aiti-13599	111	12	state	state	NOUN
aiti-13599	111	13	transitions	transition	NOUN
aiti-13599	111	14	whereas	whereas	SCONJ
aiti-13599	111	15	product	product	NOUN
aiti-13599	111	16	automata	automata	NOUN
aiti-13599	111	17	are	be	AUX
aiti-13599	111	18	used	use	VERB
aiti-13599	111	19	to	to	PART
aiti-13599	111	20	combine	combine	VERB
aiti-13599	111	21	multiple	multiple	ADJ
aiti-13599	111	22	concepts	concept	NOUN
aiti-13599	111	23	such	such	ADJ
aiti-13599	111	24	as	as	ADP
aiti-13599	111	25	topology	topology	NOUN
aiti-13599	111	26	and	and	CCONJ
aiti-13599	111	27	partitioning	partitioning	NOUN
aiti-13599	111	28	of	of	ADP
aiti-13599	111	29	computing	computing	NOUN
aiti-13599	111	30	processes	process	NOUN
aiti-13599	111	31	.	.	PUNCT
aiti-13599	112	1	these	these	DET
aiti-13599	112	2	methods	method	NOUN
aiti-13599	112	3	will	will	AUX
aiti-13599	112	4	be	be	AUX
aiti-13599	112	5	examined	examine	VERB
aiti-13599	112	6	in	in	ADP
aiti-13599	112	7	detail	detail	NOUN
aiti-13599	112	8	in	in	ADP
aiti-13599	112	9	the	the	DET
aiti-13599	112	10	following	follow	VERB
aiti-13599	112	11	subsections	subsection	NOUN
aiti-13599	112	12	.	.	PUNCT
aiti-13599	113	1	3.1	3.1	NUM
aiti-13599	113	2	.	.	PUNCT
aiti-13599	113	3	grid	grid	NOUN
aiti-13599	113	4	automata	automata	NOUN
aiti-13599	113	5	the	the	DET
aiti-13599	113	6	grid	grid	NOUN
aiti-13599	113	7	automata	automata	NOUN
aiti-13599	113	8	methodology	methodology	NOUN
aiti-13599	113	9	is	be	AUX
aiti-13599	113	10	the	the	DET
aiti-13599	113	11	organization	organization	NOUN
aiti-13599	113	12	of	of	ADP
aiti-13599	113	13	states	state	NOUN
aiti-13599	113	14	into	into	ADP
aiti-13599	113	15	a	a	DET
aiti-13599	113	16	structured	structured	ADJ
aiti-13599	113	17	grid	grid	NOUN
aiti-13599	113	18	pattern	pattern	NOUN
aiti-13599	113	19	based	base	VERB
aiti-13599	113	20	on	on	ADP
aiti-13599	113	21	specific	specific	ADJ
aiti-13599	113	22	conditions	condition	NOUN
aiti-13599	113	23	.	.	PUNCT
aiti-13599	114	1	states	state	NOUN
aiti-13599	114	2	are	be	AUX
aiti-13599	114	3	derived	derive	VERB
aiti-13599	114	4	systematically	systematically	ADV
aiti-13599	114	5	,	,	PUNCT
aiti-13599	114	6	with	with	ADP
aiti-13599	114	7	each	each	DET
aiti-13599	114	8	cell	cell	NOUN
aiti-13599	114	9	in	in	ADP
aiti-13599	114	10	the	the	DET
aiti-13599	114	11	grid	grid	NOUN
aiti-13599	114	12	representing	represent	VERB
aiti-13599	114	13	a	a	DET
aiti-13599	114	14	distinct	distinct	ADJ
aiti-13599	114	15	state	state	NOUN
aiti-13599	114	16	of	of	ADP
aiti-13599	114	17	the	the	DET
aiti-13599	114	18	finite	finite	PROPN
aiti-13599	114	19	automaton	automaton	PROPN
aiti-13599	114	20	.	.	PUNCT
aiti-13599	115	1	the	the	DET
aiti-13599	115	2	intuitive	intuitive	ADJ
aiti-13599	115	3	visualization	visualization	NOUN
aiti-13599	115	4	and	and	CCONJ
aiti-13599	115	5	systematic	systematic	ADJ
aiti-13599	115	6	derivation	derivation	NOUN
aiti-13599	115	7	of	of	ADP
aiti-13599	115	8	transitions	transition	NOUN
aiti-13599	115	9	between	between	ADP
aiti-13599	115	10	states	state	NOUN
aiti-13599	115	11	are	be	AUX
aiti-13599	115	12	facilitated	facilitate	VERB
aiti-13599	115	13	by	by	ADP
aiti-13599	115	14	the	the	DET
aiti-13599	115	15	spatial	spatial	ADJ
aiti-13599	115	16	representation	representation	NOUN
aiti-13599	115	17	of	of	ADP
aiti-13599	115	18	the	the	DET
aiti-13599	115	19	grid	grid	NOUN
aiti-13599	115	20	.	.	PUNCT
aiti-13599	116	1	this	this	DET
aiti-13599	116	2	approach	approach	NOUN
aiti-13599	116	3	allows	allow	VERB
aiti-13599	116	4	for	for	ADP
aiti-13599	116	5	the	the	DET
aiti-13599	116	6	creation	creation	NOUN
aiti-13599	116	7	of	of	ADP
aiti-13599	116	8	both	both	DET
aiti-13599	116	9	dfa	dfa	PROPN
aiti-13599	116	10	and	and	CCONJ
aiti-13599	116	11	nfa	nfa	PROPN
aiti-13599	116	12	,	,	PUNCT
aiti-13599	116	13	with	with	ADP
aiti-13599	116	14	the	the	DET
aiti-13599	116	15	flexibility	flexibility	NOUN
aiti-13599	116	16	to	to	PART
aiti-13599	116	17	incorporate	incorporate	VERB
aiti-13599	116	18	additional	additional	ADJ
aiti-13599	116	19	states	state	NOUN
aiti-13599	116	20	,	,	PUNCT
aiti-13599	116	21	such	such	ADJ
aiti-13599	116	22	as	as	ADP
aiti-13599	116	23	dead	dead	ADJ
aiti-13599	116	24	or	or	CCONJ
aiti-13599	116	25	trap	trap	NOUN
aiti-13599	116	26	states	state	NOUN
aiti-13599	116	27	,	,	PUNCT
aiti-13599	116	28	as	as	SCONJ
aiti-13599	116	29	needed	need	VERB
aiti-13599	116	30	for	for	ADP
aiti-13599	116	31	dfa	dfa	PROPN
aiti-13599	116	32	.	.	PUNCT
aiti-13599	117	1	the	the	DET
aiti-13599	117	2	grid	grid	NOUN
aiti-13599	117	3	automata	automata	NOUN
aiti-13599	117	4	method	method	NOUN
aiti-13599	117	5	provides	provide	VERB
aiti-13599	117	6	a	a	DET
aiti-13599	117	7	flexible	flexible	ADJ
aiti-13599	117	8	framework	framework	NOUN
aiti-13599	117	9	for	for	ADP
aiti-13599	117	10	addressing	address	VERB
aiti-13599	117	11	a	a	DET
aiti-13599	117	12	wide	wide	ADJ
aiti-13599	117	13	range	range	NOUN
aiti-13599	117	14	of	of	ADP
aiti-13599	117	15	computational	computational	ADJ
aiti-13599	117	16	challenges	challenge	NOUN
aiti-13599	117	17	,	,	PUNCT
aiti-13599	117	18	ensuring	ensure	VERB
aiti-13599	117	19	correctness	correctness	NOUN
aiti-13599	117	20	and	and	CCONJ
aiti-13599	117	21	efficiency	efficiency	NOUN
aiti-13599	117	22	in	in	ADP
aiti-13599	117	23	automata	automata	NOUN
aiti-13599	117	24	design	design	NOUN
aiti-13599	117	25	.	.	PUNCT
aiti-13599	118	1	this	this	DET
aiti-13599	118	2	visualization	visualization	NOUN
aiti-13599	118	3	is	be	AUX
aiti-13599	118	4	shown	show	VERB
aiti-13599	118	5	in	in	ADP
aiti-13599	118	6	the	the	DET
aiti-13599	118	7	following	follow	VERB
aiti-13599	118	8	fig	fig	NOUN
aiti-13599	118	9	.	.	PUNCT
aiti-13599	119	1	2	2	X
aiti-13599	119	2	.	.	X
aiti-13599	119	3	advances	advance	NOUN
aiti-13599	119	4	in	in	ADP
aiti-13599	119	5	technology	technology	NOUN
aiti-13599	119	6	innovation	innovation	NOUN
aiti-13599	119	7	,	,	PUNCT
aiti-13599	119	8	vol	vol	NOUN
aiti-13599	119	9	.	.	PROPN
aiti-13599	119	10	9	9	NUM
aiti-13599	119	11	,	,	PUNCT
aiti-13599	119	12	no	no	INTJ
aiti-13599	119	13	.	.	NOUN
aiti-13599	119	14	3	3	NUM
aiti-13599	119	15	,	,	PUNCT
aiti-13599	119	16	2024	2024	NUM
aiti-13599	119	17	,	,	PUNCT
aiti-13599	119	18	pp	pp	ADV
aiti-13599	119	19	.	.	PUNCT
aiti-13599	120	1	239	239	NUM
aiti-13599	120	2	-	-	SYM
aiti-13599	120	3	255	255	NUM
aiti-13599	120	4	243	243	NUM
aiti-13599	120	5	fig	fig	NOUN
aiti-13599	120	6	.	.	PUNCT
aiti-13599	121	1	2	2	NUM
aiti-13599	121	2	visualization	visualization	NOUN
aiti-13599	121	3	of	of	ADP
aiti-13599	121	4	grid	grid	NOUN
aiti-13599	121	5	automata	automata	NOUN
aiti-13599	121	6	method	method	NOUN
aiti-13599	121	7	3.1.1	3.1.1	NUM
aiti-13599	121	8	.	.	PUNCT
aiti-13599	122	1	algorithm	algorithm	NOUN
aiti-13599	122	2	1	1	NUM
aiti-13599	122	3	:	:	PUNCT
aiti-13599	122	4	construction	construction	NOUN
aiti-13599	122	5	of	of	ADP
aiti-13599	122	6	finite	finite	ADJ
aiti-13599	122	7	automata	automata	NOUN
aiti-13599	122	8	using	use	VERB
aiti-13599	122	9	grid	grid	NOUN
aiti-13599	122	10	automata	automata	NOUN
aiti-13599	122	11	method	method	NOUN
aiti-13599	122	12	this	this	DET
aiti-13599	122	13	algorithm	algorithm	NOUN
aiti-13599	122	14	presents	present	VERB
aiti-13599	122	15	a	a	DET
aiti-13599	122	16	revolutionary	revolutionary	ADJ
aiti-13599	122	17	approach	approach	NOUN
aiti-13599	122	18	to	to	ADP
aiti-13599	122	19	generating	generate	VERB
aiti-13599	122	20	finite	finite	ADJ
aiti-13599	122	21	automata	automata	NOUN
aiti-13599	122	22	using	use	VERB
aiti-13599	122	23	the	the	DET
aiti-13599	122	24	grid	grid	NOUN
aiti-13599	122	25	automata	automata	NOUN
aiti-13599	122	26	method	method	NOUN
aiti-13599	122	27	,	,	PUNCT
aiti-13599	122	28	an	an	DET
aiti-13599	122	29	innovative	innovative	ADJ
aiti-13599	122	30	framework	framework	NOUN
aiti-13599	122	31	that	that	PRON
aiti-13599	122	32	improves	improve	VERB
aiti-13599	122	33	automata	automata	ADJ
aiti-13599	122	34	construction	construction	NOUN
aiti-13599	122	35	efficiency	efficiency	NOUN
aiti-13599	122	36	and	and	CCONJ
aiti-13599	122	37	scalability	scalability	NOUN
aiti-13599	122	38	.	.	PUNCT
aiti-13599	123	1	the	the	DET
aiti-13599	123	2	distinctive	distinctive	ADJ
aiti-13599	123	3	contribution	contribution	NOUN
aiti-13599	123	4	is	be	AUX
aiti-13599	123	5	the	the	DET
aiti-13599	123	6	combination	combination	NOUN
aiti-13599	123	7	of	of	ADP
aiti-13599	123	8	grid	grid	NOUN
aiti-13599	123	9	-	-	PUNCT
aiti-13599	123	10	based	base	VERB
aiti-13599	123	11	computations	computation	NOUN
aiti-13599	123	12	with	with	ADP
aiti-13599	123	13	classical	classical	ADJ
aiti-13599	123	14	automata	automata	NOUN
aiti-13599	123	15	theory	theory	NOUN
aiti-13599	123	16	,	,	PUNCT
aiti-13599	123	17	resulting	result	VERB
aiti-13599	123	18	in	in	ADP
aiti-13599	123	19	a	a	DET
aiti-13599	123	20	more	more	ADV
aiti-13599	123	21	robust	robust	ADJ
aiti-13599	123	22	and	and	CCONJ
aiti-13599	123	23	adaptable	adaptable	ADJ
aiti-13599	123	24	solution	solution	NOUN
aiti-13599	123	25	for	for	ADP
aiti-13599	123	26	complicated	complicated	ADJ
aiti-13599	123	27	state	state	NOUN
aiti-13599	123	28	transition	transition	NOUN
aiti-13599	123	29	systems	system	NOUN
aiti-13599	123	30	.	.	PUNCT
aiti-13599	124	1	this	this	DET
aiti-13599	124	2	method	method	NOUN
aiti-13599	124	3	dramatically	dramatically	ADV
aiti-13599	124	4	improves	improve	VERB
aiti-13599	124	5	computing	compute	VERB
aiti-13599	124	6	efficiency	efficiency	NOUN
aiti-13599	124	7	by	by	ADP
aiti-13599	124	8	utilizing	utilize	VERB
aiti-13599	124	9	spatial	spatial	ADJ
aiti-13599	124	10	data	data	NOUN
aiti-13599	124	11	structures	structure	NOUN
aiti-13599	124	12	found	find	VERB
aiti-13599	124	13	in	in	ADP
aiti-13599	124	14	grid	grid	NOUN
aiti-13599	124	15	systems	system	NOUN
aiti-13599	124	16	,	,	PUNCT
aiti-13599	124	17	lowering	lower	VERB
aiti-13599	124	18	temporal	temporal	ADJ
aiti-13599	124	19	complexity	complexity	NOUN
aiti-13599	124	20	compared	compare	VERB
aiti-13599	124	21	to	to	ADP
aiti-13599	124	22	older	old	ADJ
aiti-13599	124	23	methods	method	NOUN
aiti-13599	124	24	.	.	PUNCT
aiti-13599	125	1	furthermore	furthermore	ADV
aiti-13599	125	2	,	,	PUNCT
aiti-13599	125	3	the	the	DET
aiti-13599	125	4	technique	technique	NOUN
aiti-13599	125	5	enables	enable	VERB
aiti-13599	125	6	better	well	ADV
aiti-13599	125	7	viewing	viewing	NOUN
aiti-13599	125	8	and	and	CCONJ
aiti-13599	125	9	manipulation	manipulation	NOUN
aiti-13599	125	10	of	of	ADP
aiti-13599	125	11	state	state	NOUN
aiti-13599	125	12	transitions	transition	NOUN
aiti-13599	125	13	,	,	PUNCT
aiti-13599	125	14	which	which	PRON
aiti-13599	125	15	is	be	AUX
aiti-13599	125	16	especially	especially	ADV
aiti-13599	125	17	useful	useful	ADJ
aiti-13599	125	18	for	for	ADP
aiti-13599	125	19	applications	application	NOUN
aiti-13599	125	20	that	that	PRON
aiti-13599	125	21	require	require	VERB
aiti-13599	125	22	real	real	ADJ
aiti-13599	125	23	-	-	PUNCT
aiti-13599	125	24	time	time	NOUN
aiti-13599	125	25	system	system	NOUN
aiti-13599	125	26	updates	update	VERB
aiti-13599	125	27	.	.	PUNCT
aiti-13599	126	1	input	input	NOUN
aiti-13599	126	2	:	:	PUNCT
aiti-13599	127	1	finite	finite	PROPN
aiti-13599	127	2	automaton	automaton	NOUN
aiti-13599	127	3	specification	specification	NOUN
aiti-13599	127	4	(	(	PUNCT
aiti-13599	127	5	q	q	NOUN
aiti-13599	127	6	,	,	PUNCT
aiti-13599	127	7	σ	σ	PROPN
aiti-13599	127	8	,	,	PUNCT
aiti-13599	127	9	δ	δ	PROPN
aiti-13599	127	10	,	,	PUNCT
aiti-13599	127	11	q0	q0	PROPN
aiti-13599	127	12	,	,	PUNCT
aiti-13599	127	13	f	f	X
aiti-13599	127	14	)	)	PUNCT
aiti-13599	127	15	output	output	NOUN
aiti-13599	127	16	:	:	PUNCT
aiti-13599	127	17	deterministic	deterministic	ADJ
aiti-13599	127	18	finite	finite	PROPN
aiti-13599	127	19	automaton	automaton	PROPN
aiti-13599	127	20	(	(	PUNCT
aiti-13599	127	21	dfa	dfa	PROPN
aiti-13599	127	22	)	)	PUNCT
aiti-13599	127	23	or	or	CCONJ
aiti-13599	127	24	nondeterministic	nondeterministic	ADJ
aiti-13599	127	25	finite	finite	ADJ
aiti-13599	127	26	automaton	automaton	PROPN
aiti-13599	127	27	(	(	PUNCT
aiti-13599	127	28	nfa	nfa	PROPN
aiti-13599	127	29	)	)	PUNCT
aiti-13599	127	30	procedure	procedure	NOUN
aiti-13599	127	31	:	:	PUNCT
aiti-13599	127	32	(	(	PUNCT
aiti-13599	127	33	1	1	X
aiti-13599	127	34	)	)	PUNCT
aiti-13599	127	35	initialize	initialize	VERB
aiti-13599	127	36	input	input	NOUN
aiti-13599	127	37	alphabet	alphabet	NOUN
aiti-13599	127	38	:	:	PUNCT
aiti-13599	127	39	initialize	initialize	VERB
aiti-13599	127	40	the	the	DET
aiti-13599	127	41	input	input	NOUN
aiti-13599	127	42	alphabet	alphabet	PROPN
aiti-13599	127	43	σ	σ	PROPN
aiti-13599	127	44	(	(	PUNCT
aiti-13599	127	45	2	2	NUM
aiti-13599	127	46	)	)	PUNCT
aiti-13599	127	47	determine	determine	VERB
aiti-13599	127	48	states	state	NOUN
aiti-13599	127	49	:	:	PUNCT
aiti-13599	127	50	determine	determine	VERB
aiti-13599	127	51	the	the	DET
aiti-13599	127	52	total	total	ADJ
aiti-13599	127	53	number	number	NOUN
aiti-13599	127	54	of	of	ADP
aiti-13599	127	55	states	state	NOUN
aiti-13599	127	56	required	require	VERB
aiti-13599	127	57	for	for	ADP
aiti-13599	127	58	the	the	DET
aiti-13599	127	59	finite	finite	PROPN
aiti-13599	127	60	automaton	automaton	NOUN
aiti-13599	127	61	.	.	PUNCT
aiti-13599	128	1	this	this	PRON
aiti-13599	128	2	is	be	AUX
aiti-13599	128	3	typically	typically	ADV
aiti-13599	128	4	based	base	VERB
aiti-13599	128	5	on	on	ADP
aiti-13599	128	6	the	the	DET
aiti-13599	128	7	size	size	NOUN
aiti-13599	128	8	of	of	ADP
aiti-13599	128	9	the	the	DET
aiti-13599	128	10	input	input	NOUN
aiti-13599	128	11	alphabet	alphabet	PROPN
aiti-13599	128	12	σ	σ	PROPN
aiti-13599	128	13	and	and	CCONJ
aiti-13599	128	14	any	any	DET
aiti-13599	128	15	additional	additional	ADJ
aiti-13599	128	16	constraints	constraint	NOUN
aiti-13599	128	17	or	or	CCONJ
aiti-13599	128	18	conditions	condition	NOUN
aiti-13599	128	19	:	:	PUNCT
aiti-13599	128	20	let	let	VERB
aiti-13599	128	21	m	m	PRON
aiti-13599	128	22	be	be	AUX
aiti-13599	128	23	the	the	DET
aiti-13599	128	24	number	number	NOUN
aiti-13599	128	25	of	of	ADP
aiti-13599	128	26	states	state	NOUN
aiti-13599	128	27	for	for	ADP
aiti-13599	128	28	a	a	DET
aiti-13599	128	29	condition	condition	NOUN
aiti-13599	128	30	and	and	CCONJ
aiti-13599	128	31	n	n	CCONJ
aiti-13599	128	32	be	be	VERB
aiti-13599	128	33	the	the	DET
aiti-13599	128	34	number	number	NOUN
aiti-13599	128	35	of	of	ADP
aiti-13599	128	36	states	state	NOUN
aiti-13599	128	37	for	for	ADP
aiti-13599	128	38	another	another	DET
aiti-13599	128	39	condition	condition	NOUN
aiti-13599	128	40	.	.	PUNCT
aiti-13599	129	1	total	total	ADJ
aiti-13599	129	2	number	number	NOUN
aiti-13599	129	3	of	of	ADP
aiti-13599	129	4	states	state	NOUN
aiti-13599	129	5	=	=	PUNCT
aiti-13599	129	6	m	m	VERB
aiti-13599	129	7	×	×	PROPN
aiti-13599	129	8	n.	n.	NOUN
aiti-13599	129	9	(	(	PUNCT
aiti-13599	129	10	3	3	X
aiti-13599	129	11	)	)	PUNCT
aiti-13599	129	12	organize	organize	VERB
aiti-13599	129	13	the	the	DET
aiti-13599	129	14	states	state	NOUN
aiti-13599	129	15	into	into	ADP
aiti-13599	129	16	a	a	DET
aiti-13599	129	17	grid	grid	NOUN
aiti-13599	129	18	pattern	pattern	NOUN
aiti-13599	129	19	:	:	PUNCT
aiti-13599	129	20	construct	construct	VERB
aiti-13599	129	21	an	an	DET
aiti-13599	129	22	mxn	mxn	PROPN
aiti-13599	129	23	matrix	matrix	NOUN
aiti-13599	129	24	grid	grid	NOUN
aiti-13599	129	25	where	where	SCONJ
aiti-13599	129	26	‘	'	PUNCT
aiti-13599	129	27	m	m	NOUN
aiti-13599	129	28	’	'	PUNCT
aiti-13599	129	29	denotes	denote	VERB
aiti-13599	129	30	the	the	DET
aiti-13599	129	31	number	number	NOUN
aiti-13599	129	32	of	of	ADP
aiti-13599	129	33	rows	row	NOUN
aiti-13599	129	34	and	and	CCONJ
aiti-13599	129	35	‘	'	PUNCT
aiti-13599	129	36	n	n	CCONJ
aiti-13599	129	37	’	'	PUNCT
aiti-13599	129	38	signifies	signify	VERB
aiti-13599	129	39	the	the	DET
aiti-13599	129	40	number	number	NOUN
aiti-13599	129	41	of	of	ADP
aiti-13599	129	42	columns	column	NOUN
aiti-13599	129	43	.	.	PUNCT
aiti-13599	130	1	alternatively	alternatively	ADV
aiti-13599	130	2	,	,	PUNCT
aiti-13599	130	3	create	create	VERB
aiti-13599	130	4	a	a	DET
aiti-13599	130	5	nxm	nxm	NOUN
aiti-13599	130	6	matrix	matrix	NOUN
aiti-13599	130	7	grid	grid	NOUN
aiti-13599	130	8	if	if	SCONJ
aiti-13599	130	9	needed	need	VERB
aiti-13599	130	10	(	(	PUNCT
aiti-13599	130	11	transpose	transpose	NOUN
aiti-13599	130	12	matrix	matrix	NOUN
aiti-13599	130	13	)	)	PUNCT
aiti-13599	130	14	.	.	PUNCT
aiti-13599	131	1	(	(	PUNCT
aiti-13599	131	2	4	4	X
aiti-13599	131	3	)	)	PUNCT
aiti-13599	131	4	assign	assign	NOUN
aiti-13599	131	5	state	state	NOUN
aiti-13599	131	6	identifiers	identifier	NOUN
aiti-13599	131	7	:	:	PUNCT
aiti-13599	131	8	label	label	VERB
aiti-13599	131	9	each	each	DET
aiti-13599	131	10	cell	cell	NOUN
aiti-13599	131	11	with	with	ADP
aiti-13599	131	12	a	a	DET
aiti-13599	131	13	unique	unique	ADJ
aiti-13599	131	14	state	state	NOUN
aiti-13599	131	15	identifier	identifier	NOUN
aiti-13599	131	16	.	.	PUNCT
aiti-13599	132	1	(	(	PUNCT
aiti-13599	132	2	5	5	X
aiti-13599	132	3	)	)	PUNCT
aiti-13599	132	4	define	define	AUX
aiti-13599	132	5	transition	transition	NOUN
aiti-13599	132	6	function	function	NOUN
aiti-13599	132	7	δ	δ	PROPN
aiti-13599	132	8	:	:	PUNCT
aiti-13599	132	9	determine	determine	VERB
aiti-13599	132	10	the	the	DET
aiti-13599	132	11	transitions	transition	NOUN
aiti-13599	132	12	between	between	ADP
aiti-13599	132	13	states	state	NOUN
aiti-13599	132	14	based	base	VERB
aiti-13599	132	15	on	on	ADP
aiti-13599	132	16	the	the	DET
aiti-13599	132	17	input	input	NOUN
aiti-13599	132	18	alphabet	alphabet	PROPN
aiti-13599	132	19	σ	σ	PROPN
aiti-13599	132	20	and	and	CCONJ
aiti-13599	132	21	the	the	DET
aiti-13599	132	22	language	language	NOUN
aiti-13599	132	23	pattern	pattern	NOUN
aiti-13599	132	24	or	or	CCONJ
aiti-13599	132	25	condition	condition	NOUN
aiti-13599	132	26	.	.	PUNCT
aiti-13599	133	1	define	define	VERB
aiti-13599	133	2	transitions	transition	NOUN
aiti-13599	133	3	for	for	ADP
aiti-13599	133	4	each	each	DET
aiti-13599	133	5	cell	cell	NOUN
aiti-13599	133	6	in	in	ADP
aiti-13599	133	7	the	the	DET
aiti-13599	133	8	grid	grid	NOUN
aiti-13599	133	9	,	,	PUNCT
aiti-13599	133	10	considering	consider	VERB
aiti-13599	133	11	both	both	CCONJ
aiti-13599	133	12	row	row	ADV
aiti-13599	133	13	-	-	PUNCT
aiti-13599	133	14	wise	wise	ADJ
aiti-13599	133	15	and	and	CCONJ
aiti-13599	133	16	column	column	NOUN
aiti-13599	133	17	-	-	PUNCT
aiti-13599	133	18	wise	wise	ADJ
aiti-13599	133	19	transitions	transition	NOUN
aiti-13599	133	20	.	.	PUNCT
aiti-13599	134	1	if	if	SCONJ
aiti-13599	134	2	constructing	construct	VERB
aiti-13599	134	3	a	a	DET
aiti-13599	134	4	dfa	dfa	NOUN
aiti-13599	134	5	,	,	PUNCT
aiti-13599	134	6	consider	consider	VERB
aiti-13599	134	7	introducing	introduce	VERB
aiti-13599	134	8	a	a	DET
aiti-13599	134	9	dead	dead	ADJ
aiti-13599	134	10	or	or	CCONJ
aiti-13599	134	11	trap	trap	NOUN
aiti-13599	134	12	state	state	NOUN
aiti-13599	134	13	if	if	SCONJ
aiti-13599	134	14	necessary	necessary	ADJ
aiti-13599	134	15	to	to	PART
aiti-13599	134	16	handle	handle	VERB
aiti-13599	134	17	undefined	undefined	ADJ
aiti-13599	134	18	or	or	CCONJ
aiti-13599	134	19	unexpected	unexpected	ADJ
aiti-13599	134	20	inputs	input	NOUN
aiti-13599	134	21	.	.	PUNCT
aiti-13599	135	1	this	this	DET
aiti-13599	135	2	dead	dead	ADJ
aiti-13599	135	3	state	state	NOUN
aiti-13599	135	4	ensures	ensure	VERB
aiti-13599	135	5	that	that	SCONJ
aiti-13599	135	6	the	the	DET
aiti-13599	135	7	automaton	automaton	NOUN
aiti-13599	135	8	transitions	transition	NOUN
aiti-13599	135	9	to	to	ADP
aiti-13599	135	10	a	a	DET
aiti-13599	135	11	non	non	ADJ
aiti-13599	135	12	-	-	ADJ
aiti-13599	135	13	accepting	accept	VERB
aiti-13599	135	14	state	state	NOUN
aiti-13599	135	15	for	for	ADP
aiti-13599	135	16	inputs	input	NOUN
aiti-13599	135	17	not	not	PART
aiti-13599	135	18	explicitly	explicitly	ADV
aiti-13599	135	19	defined	define	VERB
aiti-13599	135	20	in	in	ADP
aiti-13599	135	21	the	the	DET
aiti-13599	135	22	transition	transition	NOUN
aiti-13599	135	23	function	function	NOUN
aiti-13599	135	24	.	.	PUNCT
aiti-13599	136	1	(	(	PUNCT
aiti-13599	136	2	6	6	X
aiti-13599	136	3	)	)	PUNCT
aiti-13599	136	4	determine	determine	VERB
aiti-13599	136	5	initial	initial	ADJ
aiti-13599	136	6	state	state	NOUN
aiti-13599	136	7	and	and	CCONJ
aiti-13599	136	8	accepting	accept	VERB
aiti-13599	136	9	states	state	NOUN
aiti-13599	136	10	:	:	PUNCT
aiti-13599	136	11	set	set	VERB
aiti-13599	136	12	the	the	DET
aiti-13599	136	13	initial	initial	ADJ
aiti-13599	136	14	state	state	NOUN
aiti-13599	136	15	as	as	ADP
aiti-13599	136	16	the	the	DET
aiti-13599	136	17	starting	starting	NOUN
aiti-13599	136	18	point	point	NOUN
aiti-13599	136	19	.	.	PUNCT
aiti-13599	137	1	identify	identify	VERB
aiti-13599	137	2	the	the	DET
aiti-13599	137	3	accepting	accept	VERB
aiti-13599	137	4	states	state	NOUN
aiti-13599	137	5	based	base	VERB
aiti-13599	137	6	on	on	ADP
aiti-13599	137	7	the	the	DET
aiti-13599	137	8	language	language	NOUN
aiti-13599	137	9	pattern	pattern	NOUN
aiti-13599	137	10	or	or	CCONJ
aiti-13599	137	11	condition	condition	NOUN
aiti-13599	137	12	.	.	PUNCT
aiti-13599	138	1	(	(	PUNCT
aiti-13599	138	2	7	7	X
aiti-13599	138	3	)	)	PUNCT
aiti-13599	138	4	construct	construct	VERB
aiti-13599	138	5	finite	finite	PROPN
aiti-13599	138	6	automaton	automaton	PROPN
aiti-13599	138	7	:	:	PUNCT
aiti-13599	138	8	combine	combine	VERB
aiti-13599	138	9	the	the	DET
aiti-13599	138	10	organized	organize	VERB
aiti-13599	138	11	grid	grid	NOUN
aiti-13599	138	12	layout	layout	NOUN
aiti-13599	138	13	with	with	ADP
aiti-13599	138	14	the	the	DET
aiti-13599	138	15	defined	define	VERB
aiti-13599	138	16	transition	transition	NOUN
aiti-13599	138	17	function	function	NOUN
aiti-13599	138	18	,	,	PUNCT
aiti-13599	138	19	initial	initial	ADJ
aiti-13599	138	20	state	state	NOUN
aiti-13599	138	21	,	,	PUNCT
aiti-13599	138	22	and	and	CCONJ
aiti-13599	138	23	accepting	accept	VERB
aiti-13599	138	24	states	state	NOUN
aiti-13599	138	25	.	.	PUNCT
aiti-13599	139	1	(	(	PUNCT
aiti-13599	139	2	8)	8)	NUM
aiti-13599	139	3	validate	validate	ADJ
aiti-13599	139	4	automata	automata	NOUN
aiti-13599	139	5	:	:	PUNCT
aiti-13599	139	6	test	test	VERB
aiti-13599	139	7	the	the	DET
aiti-13599	139	8	automaton	automaton	NOUN
aiti-13599	139	9	with	with	ADP
aiti-13599	139	10	representative	representative	ADJ
aiti-13599	139	11	input	input	NOUN
aiti-13599	139	12	strings	string	NOUN
aiti-13599	139	13	to	to	PART
aiti-13599	139	14	verify	verify	VERB
aiti-13599	139	15	its	its	PRON
aiti-13599	139	16	behavior	behavior	NOUN
aiti-13599	139	17	and	and	CCONJ
aiti-13599	139	18	adherence	adherence	NOUN
aiti-13599	139	19	to	to	ADP
aiti-13599	139	20	the	the	DET
aiti-13599	139	21	language	language	NOUN
aiti-13599	139	22	pattern	pattern	NOUN
aiti-13599	139	23	or	or	CCONJ
aiti-13599	139	24	condition	condition	NOUN
aiti-13599	139	25	.	.	PUNCT
aiti-13599	140	1	(	(	PUNCT
aiti-13599	140	2	9	9	X
aiti-13599	140	3	)	)	PUNCT
aiti-13599	140	4	refine	refine	VERB
aiti-13599	140	5	grid	grid	NOUN
aiti-13599	140	6	layout	layout	NOUN
aiti-13599	140	7	or	or	CCONJ
aiti-13599	140	8	transition	transition	NOUN
aiti-13599	140	9	function	function	NOUN
aiti-13599	140	10	(	(	PUNCT
aiti-13599	140	11	if	if	SCONJ
aiti-13599	140	12	necessary	necessary	ADJ
aiti-13599	140	13	):	):	PUNCT
aiti-13599	140	14	address	address	NOUN
aiti-13599	140	15	any	any	DET
aiti-13599	140	16	discrepancies	discrepancy	NOUN
aiti-13599	140	17	or	or	CCONJ
aiti-13599	140	18	errors	error	NOUN
aiti-13599	140	19	identified	identify	VERB
aiti-13599	140	20	during	during	ADP
aiti-13599	140	21	validation	validation	NOUN
aiti-13599	140	22	.	.	PUNCT
aiti-13599	141	1	(	(	PUNCT
aiti-13599	141	2	10	10	NUM
aiti-13599	141	3	)	)	PUNCT
aiti-13599	141	4	finalization	finalization	NOUN
aiti-13599	141	5	:	:	PUNCT
aiti-13599	141	6	once	once	ADV
aiti-13599	141	7	validated	validate	VERB
aiti-13599	141	8	,	,	PUNCT
aiti-13599	141	9	the	the	DET
aiti-13599	141	10	constructed	construct	VERB
aiti-13599	141	11	finite	finite	NOUN
aiti-13599	141	12	automaton	automaton	NOUN
aiti-13599	141	13	is	be	AUX
aiti-13599	141	14	ready	ready	ADJ
aiti-13599	141	15	for	for	ADP
aiti-13599	141	16	use	use	NOUN
aiti-13599	141	17	in	in	ADP
aiti-13599	141	18	recognizing	recognize	VERB
aiti-13599	141	19	strings	string	NOUN
aiti-13599	141	20	that	that	PRON
aiti-13599	141	21	conform	conform	VERB
aiti-13599	141	22	to	to	ADP
aiti-13599	141	23	the	the	DET
aiti-13599	141	24	specified	specified	ADJ
aiti-13599	141	25	language	language	NOUN
aiti-13599	141	26	pattern	pattern	NOUN
aiti-13599	141	27	or	or	CCONJ
aiti-13599	141	28	condition	condition	NOUN
aiti-13599	141	29	.	.	PUNCT
aiti-13599	142	1	end	end	NOUN
aiti-13599	142	2	of	of	ADP
aiti-13599	142	3	algorithm	algorithm	NOUN
aiti-13599	142	4	1	1	NUM
aiti-13599	142	5	244	244	NUM
aiti-13599	142	6	advances	advance	NOUN
aiti-13599	142	7	in	in	ADP
aiti-13599	142	8	technology	technology	NOUN
aiti-13599	142	9	innovation	innovation	NOUN
aiti-13599	142	10	,	,	PUNCT
aiti-13599	142	11	vol	vol	NOUN
aiti-13599	142	12	.	.	PROPN
aiti-13599	143	1	9	9	NUM
aiti-13599	143	2	,	,	PUNCT
aiti-13599	143	3	no	no	INTJ
aiti-13599	143	4	.	.	NOUN
aiti-13599	143	5	3	3	NUM
aiti-13599	143	6	,	,	PUNCT
aiti-13599	143	7	2024	2024	NUM
aiti-13599	143	8	,	,	PUNCT
aiti-13599	143	9	pp	pp	ADV
aiti-13599	143	10	.	.	PUNCT
aiti-13599	144	1	239	239	NUM
aiti-13599	144	2	-	-	SYM
aiti-13599	144	3	255	255	NUM
aiti-13599	144	4	example	example	NOUN
aiti-13599	144	5	1	1	NUM
aiti-13599	144	6	:	:	PUNCT
aiti-13599	144	7	consider	consider	VERB
aiti-13599	144	8	language	language	NOUN
aiti-13599	144	9	l	l	NOUN
aiti-13599	144	10	over	over	ADP
aiti-13599	144	11	the	the	DET
aiti-13599	144	12	alphabet	alphabet	NOUN
aiti-13599	144	13	{	{	PUNCT
aiti-13599	144	14	a	a	PROPN
aiti-13599	144	15	,	,	PUNCT
aiti-13599	144	16	b	b	NOUN
aiti-13599	144	17	}	}	PUNCT
aiti-13599	144	18	,	,	PUNCT
aiti-13599	144	19	defined	define	VERB
aiti-13599	144	20	as	as	ADP
aiti-13599	144	21	:	:	PUNCT
aiti-13599	144	22	l	l	NOUN
aiti-13599	144	23	=	=	PUNCT
aiti-13599	144	24	{	{	PUNCT
aiti-13599	144	25	w	w	PROPN
aiti-13599	144	26	∈	∈	PROPN
aiti-13599	144	27	{	{	PUNCT
aiti-13599	144	28	a	a	PROPN
aiti-13599	144	29	,	,	PUNCT
aiti-13599	144	30	b	b	NOUN
aiti-13599	144	31	}	}	PUNCT
aiti-13599	144	32	*	*	PUNCT
aiti-13599	144	33	|	|	ADV
aiti-13599	144	34	na(w	na(w	PUNCT
aiti-13599	144	35	)	)	PUNCT
aiti-13599	144	36	mod	mod	NOUN
aiti-13599	144	37	3	3	NUM
aiti-13599	144	38	=	=	SYM
aiti-13599	144	39	0	0	NUM
aiti-13599	144	40	and	and	CCONJ
aiti-13599	144	41	nb(w	nb(w	PROPN
aiti-13599	144	42	)	)	PUNCT
aiti-13599	144	43	mod	mod	NOUN
aiti-13599	144	44	2	2	NUM
aiti-13599	144	45	=	=	SYM
aiti-13599	144	46	0	0	NUM
aiti-13599	144	47	}	}	PUNCT
aiti-13599	144	48	this	this	PRON
aiti-13599	144	49	means	mean	VERB
aiti-13599	144	50	that	that	SCONJ
aiti-13599	144	51	the	the	DET
aiti-13599	144	52	number	number	NOUN
aiti-13599	144	53	of	of	ADP
aiti-13599	144	54	occurrences	occurrence	NOUN
aiti-13599	144	55	of	of	ADP
aiti-13599	144	56	‘	'	PUNCT
aiti-13599	144	57	a	a	PRON
aiti-13599	144	58	’	'	PUNCT
aiti-13599	144	59	in	in	ADP
aiti-13599	144	60	a	a	DET
aiti-13599	144	61	string	string	NOUN
aiti-13599	144	62	is	be	AUX
aiti-13599	144	63	divisible	divisible	ADJ
aiti-13599	144	64	by	by	ADP
aiti-13599	144	65	3	3	NUM
aiti-13599	144	66	,	,	PUNCT
aiti-13599	144	67	and	and	CCONJ
aiti-13599	144	68	the	the	DET
aiti-13599	144	69	number	number	NOUN
aiti-13599	144	70	of	of	ADP
aiti-13599	144	71	occurrences	occurrence	NOUN
aiti-13599	144	72	of	of	ADP
aiti-13599	144	73	‘	'	PUNCT
aiti-13599	144	74	b	b	X
aiti-13599	144	75	’	'	PUNCT
aiti-13599	144	76	is	be	AUX
aiti-13599	144	77	divisible	divisible	ADJ
aiti-13599	144	78	by	by	ADP
aiti-13599	144	79	2	2	NUM
aiti-13599	144	80	.	.	PUNCT
aiti-13599	144	81	(	(	PUNCT
aiti-13599	144	82	1	1	X
aiti-13599	144	83	)	)	PUNCT
aiti-13599	144	84	initialize	initialize	VERB
aiti-13599	144	85	input	input	NOUN
aiti-13599	144	86	alphabet	alphabet	NOUN
aiti-13599	144	87	:	:	PUNCT
aiti-13599	144	88	σ	σ	X
aiti-13599	144	89	=	=	PUNCT
aiti-13599	144	90	{	{	PUNCT
aiti-13599	144	91	a	a	PRON
aiti-13599	144	92	,	,	PUNCT
aiti-13599	144	93	b	b	NOUN
aiti-13599	144	94	}	}	PUNCT
aiti-13599	144	95	(	(	PUNCT
aiti-13599	144	96	2	2	X
aiti-13599	144	97	)	)	PUNCT
aiti-13599	144	98	determine	determine	VERB
aiti-13599	144	99	states	state	NOUN
aiti-13599	144	100	:	:	PUNCT
aiti-13599	144	101	m	m	X
aiti-13599	144	102	:	:	PUNCT
aiti-13599	144	103	the	the	DET
aiti-13599	144	104	number	number	NOUN
aiti-13599	144	105	of	of	ADP
aiti-13599	144	106	states	state	NOUN
aiti-13599	144	107	for	for	ADP
aiti-13599	144	108	‘	'	PUNCT
aiti-13599	144	109	a	a	PRON
aiti-13599	144	110	’	'	PUNCT
aiti-13599	144	111	is	be	AUX
aiti-13599	144	112	3	3	NUM
aiti-13599	144	113	,	,	PUNCT
aiti-13599	144	114	n	n	CCONJ
aiti-13599	144	115	:	:	PUNCT
aiti-13599	144	116	the	the	DET
aiti-13599	144	117	number	number	NOUN
aiti-13599	144	118	of	of	ADP
aiti-13599	144	119	states	state	NOUN
aiti-13599	144	120	for	for	ADP
aiti-13599	144	121	‘	'	PUNCT
aiti-13599	144	122	b	b	X
aiti-13599	144	123	’	'	PUNCT
aiti-13599	144	124	is	be	AUX
aiti-13599	144	125	2	2	NUM
aiti-13599	144	126	,	,	PUNCT
aiti-13599	144	127	so	so	ADV
aiti-13599	144	128	the	the	DET
aiti-13599	144	129	total	total	ADJ
aiti-13599	144	130	number	number	NOUN
aiti-13599	144	131	of	of	ADP
aiti-13599	144	132	states	state	NOUN
aiti-13599	144	133	=	=	PUNCT
aiti-13599	144	134	m	m	VERB
aiti-13599	144	135	×	×	NOUN
aiti-13599	144	136	n	n	NOUN
aiti-13599	144	137	=	=	SYM
aiti-13599	144	138	3	3	NUM
aiti-13599	144	139	×	×	NOUN
aiti-13599	144	140	2	2	NUM
aiti-13599	144	141	=	=	SYM
aiti-13599	144	142	6	6	NUM
aiti-13599	144	143	.	.	PUNCT
aiti-13599	145	1	(	(	PUNCT
aiti-13599	145	2	3	3	X
aiti-13599	145	3	)	)	PUNCT
aiti-13599	145	4	organize	organize	VERB
aiti-13599	145	5	the	the	DET
aiti-13599	145	6	states	state	NOUN
aiti-13599	145	7	into	into	ADP
aiti-13599	145	8	a	a	DET
aiti-13599	145	9	grid	grid	NOUN
aiti-13599	145	10	pattern	pattern	NOUN
aiti-13599	145	11	:	:	PUNCT
aiti-13599	145	12	create	create	VERB
aiti-13599	145	13	a	a	DET
aiti-13599	145	14	m	m	NOUN
aiti-13599	145	15	×	×	NOUN
aiti-13599	145	16	n	n	NOUN
aiti-13599	145	17	=	=	SYM
aiti-13599	145	18	2	2	NUM
aiti-13599	145	19	×	×	NOUN
aiti-13599	145	20	3	3	NUM
aiti-13599	145	21	grid	grid	NOUN
aiti-13599	145	22	pattern	pattern	NOUN
aiti-13599	145	23	to	to	PART
aiti-13599	145	24	represent	represent	VERB
aiti-13599	145	25	the	the	DET
aiti-13599	145	26	states	state	NOUN
aiti-13599	145	27	.	.	PUNCT
aiti-13599	146	1	each	each	DET
aiti-13599	146	2	cell	cell	NOUN
aiti-13599	146	3	in	in	ADP
aiti-13599	146	4	the	the	DET
aiti-13599	146	5	grid	grid	NOUN
aiti-13599	146	6	corresponds	correspond	VERB
aiti-13599	146	7	to	to	ADP
aiti-13599	146	8	a	a	DET
aiti-13599	146	9	unique	unique	ADJ
aiti-13599	146	10	state	state	NOUN
aiti-13599	146	11	of	of	ADP
aiti-13599	146	12	the	the	DET
aiti-13599	146	13	finite	finite	PROPN
aiti-13599	146	14	automaton	automaton	NOUN
aiti-13599	146	15	.	.	PUNCT
aiti-13599	147	1	(	(	PUNCT
aiti-13599	147	2	4	4	X
aiti-13599	147	3	)	)	PUNCT
aiti-13599	147	4	assign	assign	NOUN
aiti-13599	147	5	state	state	NOUN
aiti-13599	147	6	identifiers	identifier	NOUN
aiti-13599	147	7	:	:	PUNCT
aiti-13599	147	8	label	label	VERB
aiti-13599	147	9	each	each	DET
aiti-13599	147	10	cell	cell	NOUN
aiti-13599	147	11	in	in	ADP
aiti-13599	147	12	the	the	DET
aiti-13599	147	13	grid	grid	NOUN
aiti-13599	147	14	with	with	ADP
aiti-13599	147	15	a	a	DET
aiti-13599	147	16	unique	unique	ADJ
aiti-13599	147	17	state	state	NOUN
aiti-13599	147	18	identifier	identifier	NOUN
aiti-13599	147	19	.	.	PUNCT
aiti-13599	148	1	steps	step	NOUN
aiti-13599	148	2	3	3	NUM
aiti-13599	148	3	and	and	CCONJ
aiti-13599	148	4	4	4	NUM
aiti-13599	148	5	are	be	AUX
aiti-13599	148	6	shown	show	VERB
aiti-13599	148	7	in	in	ADP
aiti-13599	148	8	the	the	DET
aiti-13599	148	9	following	follow	VERB
aiti-13599	148	10	fig	fig	NOUN
aiti-13599	148	11	.	.	PUNCT
aiti-13599	149	1	3	3	X
aiti-13599	149	2	.	.	X
aiti-13599	149	3	fig	fig	NOUN
aiti-13599	149	4	.	.	PUNCT
aiti-13599	150	1	3	3	NUM
aiti-13599	150	2	grid	grid	NOUN
aiti-13599	150	3	pattern	pattern	NOUN
aiti-13599	150	4	with	with	ADP
aiti-13599	150	5	assigned	assign	VERB
aiti-13599	150	6	identifiers	identifier	NOUN
aiti-13599	150	7	for	for	ADP
aiti-13599	150	8	states	state	NOUN
aiti-13599	150	9	(	(	PUNCT
aiti-13599	150	10	5	5	NUM
aiti-13599	150	11	)	)	PUNCT
aiti-13599	150	12	define	define	VERB
aiti-13599	150	13	transition	transition	NOUN
aiti-13599	150	14	function	function	NOUN
aiti-13599	150	15	δ	δ	PROPN
aiti-13599	150	16	:	:	PUNCT
aiti-13599	150	17	to	to	PART
aiti-13599	150	18	determine	determine	VERB
aiti-13599	150	19	the	the	DET
aiti-13599	150	20	transition	transition	NOUN
aiti-13599	150	21	function	function	NOUN
aiti-13599	150	22	for	for	ADP
aiti-13599	150	23	the	the	DET
aiti-13599	150	24	given	give	VERB
aiti-13599	150	25	example	example	NOUN
aiti-13599	150	26	,	,	PUNCT
aiti-13599	150	27	it	it	PRON
aiti-13599	150	28	will	will	AUX
aiti-13599	150	29	divide	divide	VERB
aiti-13599	150	30	it	it	PRON
aiti-13599	150	31	into	into	ADP
aiti-13599	150	32	two	two	NUM
aiti-13599	150	33	parts	part	NOUN
aiti-13599	150	34	:	:	PUNCT
aiti-13599	150	35	divisibility	divisibility	NOUN
aiti-13599	150	36	by	by	ADP
aiti-13599	150	37	3	3	NUM
aiti-13599	150	38	(	(	PUNCT
aiti-13599	150	39	strings	string	NOUN
aiti-13599	150	40	with	with	ADP
aiti-13599	150	41	‘	'	PUNCT
aiti-13599	150	42	a	a	PRON
aiti-13599	150	43	’	'	PUNCT
aiti-13599	150	44	)	)	PUNCT
aiti-13599	150	45	,	,	PUNCT
aiti-13599	150	46	denotes	denote	VERB
aiti-13599	150	47	the	the	DET
aiti-13599	150	48	state	state	NOUN
aiti-13599	150	49	as	as	ADP
aiti-13599	150	50	q0	q0	PROPN
aiti-13599	150	51	,	,	PUNCT
aiti-13599	150	52	q1	q1	PROPN
aiti-13599	150	53	,	,	PUNCT
aiti-13599	150	54	q2	q2	NOUN
aiti-13599	150	55	in	in	ADP
aiti-13599	150	56	the	the	DET
aiti-13599	150	57	first	first	ADJ
aiti-13599	150	58	row	row	NOUN
aiti-13599	150	59	and	and	CCONJ
aiti-13599	150	60	q3	q3	PROPN
aiti-13599	150	61	,	,	PUNCT
aiti-13599	150	62	q4	q4	PROPN
aiti-13599	150	63	,	,	PUNCT
aiti-13599	150	64	q5	q5	PROPN
aiti-13599	150	65	in	in	ADP
aiti-13599	150	66	the	the	DET
aiti-13599	150	67	second	second	ADJ
aiti-13599	150	68	row	row	NOUN
aiti-13599	150	69	.	.	PUNCT
aiti-13599	151	1	the	the	DET
aiti-13599	151	2	transitions	transition	NOUN
aiti-13599	151	3	are	be	AUX
aiti-13599	151	4	as	as	SCONJ
aiti-13599	151	5	follows	follow	VERB
aiti-13599	151	6	:	:	PUNCT
aiti-13599	151	7	δ(q0	δ(q0	NOUN
aiti-13599	151	8	,	,	PUNCT
aiti-13599	151	9	a	a	PRON
aiti-13599	151	10	)	)	PUNCT
aiti-13599	151	11	=	=	SYM
aiti-13599	151	12	q1	q1	PROPN
aiti-13599	151	13	,	,	PUNCT
aiti-13599	151	14	δ(q1	δ(q1	NOUN
aiti-13599	151	15	,	,	PUNCT
aiti-13599	151	16	a	a	PRON
aiti-13599	151	17	)	)	PUNCT
aiti-13599	151	18	=	=	SYM
aiti-13599	151	19	q2	q2	NOUN
aiti-13599	151	20	,	,	PUNCT
aiti-13599	151	21	δ(q2	δ(q2	NOUN
aiti-13599	151	22	,	,	PUNCT
aiti-13599	151	23	a	a	PRON
aiti-13599	151	24	)	)	PUNCT
aiti-13599	151	25	=	=	SYM
aiti-13599	151	26	q0	q0	PROPN
aiti-13599	151	27	,	,	PUNCT
aiti-13599	151	28	δ(q3	δ(q3	PROPN
aiti-13599	151	29	,	,	PUNCT
aiti-13599	151	30	a	a	PRON
aiti-13599	151	31	)	)	PUNCT
aiti-13599	151	32	=	=	SYM
aiti-13599	151	33	q4	q4	PROPN
aiti-13599	151	34	,	,	PUNCT
aiti-13599	151	35	δ(q4	δ(q4	NOUN
aiti-13599	151	36	,	,	PUNCT
aiti-13599	151	37	a	a	PRON
aiti-13599	151	38	)	)	PUNCT
aiti-13599	151	39	=	=	SYM
aiti-13599	151	40	q5	q5	PROPN
aiti-13599	151	41	,	,	PUNCT
aiti-13599	151	42	δ(q5	δ(q5	NOUN
aiti-13599	151	43	,	,	PUNCT
aiti-13599	151	44	a	a	PRON
aiti-13599	151	45	)	)	PUNCT
aiti-13599	151	46	=	=	SYM
aiti-13599	151	47	q3	q3	NOUN
aiti-13599	151	48	these	these	DET
aiti-13599	151	49	transitions	transition	NOUN
aiti-13599	151	50	are	be	AUX
aiti-13599	151	51	shown	show	VERB
aiti-13599	151	52	in	in	ADP
aiti-13599	151	53	the	the	DET
aiti-13599	151	54	following	follow	VERB
aiti-13599	151	55	fig	fig	NOUN
aiti-13599	151	56	.	.	PUNCT
aiti-13599	152	1	4	4	X
aiti-13599	152	2	.	.	X
aiti-13599	152	3	fig	fig	NOUN
aiti-13599	152	4	.	.	PUNCT
aiti-13599	153	1	4	4	NUM
aiti-13599	153	2	transitions	transition	NOUN
aiti-13599	153	3	for	for	ADP
aiti-13599	153	4	divisibility	divisibility	NOUN
aiti-13599	153	5	by	by	ADP
aiti-13599	153	6	3	3	NUM
aiti-13599	153	7	(	(	PUNCT
aiti-13599	153	8	strings	string	NOUN
aiti-13599	153	9	with	with	ADP
aiti-13599	153	10	‘	'	PUNCT
aiti-13599	153	11	a	a	DET
aiti-13599	153	12	’	'	PUNCT
aiti-13599	153	13	)	)	PUNCT
aiti-13599	153	14	divisibility	divisibility	NOUN
aiti-13599	153	15	by	by	ADP
aiti-13599	153	16	2	2	NUM
aiti-13599	153	17	(	(	PUNCT
aiti-13599	153	18	strings	string	NOUN
aiti-13599	153	19	with	with	ADP
aiti-13599	153	20	‘	'	PUNCT
aiti-13599	153	21	b	b	NOUN
aiti-13599	153	22	’	'	PUNCT
aiti-13599	153	23	)	)	PUNCT
aiti-13599	153	24	,	,	PUNCT
aiti-13599	153	25	denotes	denote	VERB
aiti-13599	153	26	the	the	DET
aiti-13599	153	27	states	state	NOUN
aiti-13599	153	28	as	as	ADP
aiti-13599	153	29	q0	q0	NOUN
aiti-13599	153	30	,	,	PUNCT
aiti-13599	153	31	q3	q3	NOUN
aiti-13599	153	32	in	in	ADP
aiti-13599	153	33	the	the	DET
aiti-13599	153	34	first	first	ADJ
aiti-13599	153	35	column	column	NOUN
aiti-13599	153	36	,	,	PUNCT
aiti-13599	153	37	q1	q1	PROPN
aiti-13599	153	38	,	,	PUNCT
aiti-13599	153	39	q4	q4	PROPN
aiti-13599	153	40	in	in	ADP
aiti-13599	153	41	the	the	DET
aiti-13599	153	42	second	second	ADJ
aiti-13599	153	43	column	column	NOUN
aiti-13599	153	44	,	,	PUNCT
aiti-13599	153	45	and	and	CCONJ
aiti-13599	153	46	q2	q2	PROPN
aiti-13599	153	47	,	,	PUNCT
aiti-13599	153	48	q5	q5	PROPN
aiti-13599	153	49	in	in	ADP
aiti-13599	153	50	the	the	DET
aiti-13599	153	51	third	third	ADJ
aiti-13599	153	52	column	column	NOUN
aiti-13599	153	53	.	.	PUNCT
aiti-13599	154	1	the	the	DET
aiti-13599	154	2	transitions	transition	NOUN
aiti-13599	154	3	are	be	AUX
aiti-13599	154	4	as	as	SCONJ
aiti-13599	154	5	follows	follow	VERB
aiti-13599	154	6	:	:	PUNCT
aiti-13599	154	7	δ(q0	δ(q0	NOUN
aiti-13599	154	8	,	,	PUNCT
aiti-13599	154	9	b	b	NOUN
aiti-13599	154	10	)	)	PUNCT
aiti-13599	154	11	=	=	SYM
aiti-13599	154	12	q3	q3	NOUN
aiti-13599	154	13	,	,	PUNCT
aiti-13599	154	14	δ(q1	δ(q1	NOUN
aiti-13599	154	15	,	,	PUNCT
aiti-13599	154	16	b	b	NOUN
aiti-13599	154	17	)	)	PUNCT
aiti-13599	154	18	=	=	SYM
aiti-13599	154	19	q4	q4	PROPN
aiti-13599	154	20	,	,	PUNCT
aiti-13599	154	21	δ(q2	δ(q2	NOUN
aiti-13599	154	22	,	,	PUNCT
aiti-13599	154	23	b	b	NOUN
aiti-13599	154	24	)	)	PUNCT
aiti-13599	154	25	=	=	SYM
aiti-13599	154	26	q5	q5	PROPN
aiti-13599	154	27	,	,	PUNCT
aiti-13599	154	28	δ(q3	δ(q3	PROPN
aiti-13599	154	29	,	,	PUNCT
aiti-13599	154	30	b	b	X
aiti-13599	154	31	)	)	PUNCT
aiti-13599	154	32	=	=	SYM
aiti-13599	154	33	q0	q0	PROPN
aiti-13599	154	34	,	,	PUNCT
aiti-13599	154	35	δ(q4	δ(q4	NOUN
aiti-13599	154	36	,	,	PUNCT
aiti-13599	154	37	b	b	NOUN
aiti-13599	154	38	)	)	PUNCT
aiti-13599	154	39	=	=	SYM
aiti-13599	154	40	q1	q1	PROPN
aiti-13599	154	41	,	,	PUNCT
aiti-13599	154	42	δ(q5	δ(q5	NOUN
aiti-13599	154	43	,	,	PUNCT
aiti-13599	154	44	b	b	NOUN
aiti-13599	154	45	)	)	PUNCT
aiti-13599	154	46	=	=	SYM
aiti-13599	154	47	q2	q2	NOUN
aiti-13599	154	48	these	these	DET
aiti-13599	154	49	transitions	transition	NOUN
aiti-13599	154	50	are	be	AUX
aiti-13599	154	51	shown	show	VERB
aiti-13599	154	52	in	in	ADP
aiti-13599	154	53	the	the	DET
aiti-13599	154	54	following	follow	VERB
aiti-13599	154	55	fig	fig	NOUN
aiti-13599	154	56	.	.	PUNCT
aiti-13599	155	1	5	5	NUM
aiti-13599	155	2	.	.	X
aiti-13599	155	3	fig	fig	NOUN
aiti-13599	155	4	.	.	PUNCT
aiti-13599	156	1	5	5	NUM
aiti-13599	156	2	transitions	transition	NOUN
aiti-13599	156	3	for	for	ADP
aiti-13599	156	4	divisibility	divisibility	NOUN
aiti-13599	156	5	by	by	ADP
aiti-13599	156	6	2	2	NUM
aiti-13599	156	7	(	(	PUNCT
aiti-13599	156	8	strings	string	NOUN
aiti-13599	156	9	with	with	ADP
aiti-13599	156	10	‘	'	PUNCT
aiti-13599	156	11	b	b	NOUN
aiti-13599	156	12	’	'	PUNCT
aiti-13599	156	13	)	)	PUNCT
aiti-13599	156	14	advances	advance	NOUN
aiti-13599	156	15	in	in	ADP
aiti-13599	156	16	technology	technology	NOUN
aiti-13599	156	17	innovation	innovation	NOUN
aiti-13599	156	18	,	,	PUNCT
aiti-13599	156	19	vol	vol	NOUN
aiti-13599	156	20	.	.	PROPN
aiti-13599	156	21	9	9	NUM
aiti-13599	156	22	,	,	PUNCT
aiti-13599	156	23	no	no	INTJ
aiti-13599	156	24	.	.	NOUN
aiti-13599	156	25	3	3	NUM
aiti-13599	156	26	,	,	PUNCT
aiti-13599	156	27	2024	2024	NUM
aiti-13599	156	28	,	,	PUNCT
aiti-13599	156	29	pp	pp	ADV
aiti-13599	156	30	.	.	PUNCT
aiti-13599	157	1	239	239	NUM
aiti-13599	157	2	-	-	SYM
aiti-13599	157	3	255	255	NUM
aiti-13599	157	4	245	245	NUM
aiti-13599	157	5	(	(	PUNCT
aiti-13599	157	6	6	6	NUM
aiti-13599	157	7	)	)	PUNCT
aiti-13599	157	8	determine	determine	VERB
aiti-13599	157	9	initial	initial	ADJ
aiti-13599	157	10	state	state	NOUN
aiti-13599	157	11	and	and	CCONJ
aiti-13599	157	12	accepting	accept	VERB
aiti-13599	157	13	states	state	NOUN
aiti-13599	157	14	:	:	PUNCT
aiti-13599	157	15	set	set	VERB
aiti-13599	157	16	the	the	DET
aiti-13599	157	17	initial	initial	ADJ
aiti-13599	157	18	state	state	NOUN
aiti-13599	157	19	as	as	ADP
aiti-13599	157	20	the	the	DET
aiti-13599	157	21	starting	starting	NOUN
aiti-13599	157	22	point	point	NOUN
aiti-13599	157	23	of	of	ADP
aiti-13599	157	24	the	the	DET
aiti-13599	157	25	automata	automata	NOUN
aiti-13599	157	26	.	.	PUNCT
aiti-13599	158	1	the	the	DET
aiti-13599	158	2	final	final	ADJ
aiti-13599	158	3	states	state	NOUN
aiti-13599	158	4	of	of	ADP
aiti-13599	158	5	the	the	DET
aiti-13599	158	6	finite	finite	ADJ
aiti-13599	158	7	automata	automata	NOUN
aiti-13599	158	8	accept	accept	VERB
aiti-13599	158	9	strings	string	NOUN
aiti-13599	158	10	where	where	SCONJ
aiti-13599	158	11	the	the	DET
aiti-13599	158	12	number	number	NOUN
aiti-13599	158	13	of	of	ADP
aiti-13599	158	14	occurrences	occurrence	NOUN
aiti-13599	158	15	of	of	ADP
aiti-13599	158	16	‘	'	PUNCT
aiti-13599	158	17	a	a	PRON
aiti-13599	158	18	’	'	PUNCT
aiti-13599	158	19	is	be	AUX
aiti-13599	158	20	divisible	divisible	ADJ
aiti-13599	158	21	by	by	ADP
aiti-13599	158	22	3	3	NUM
aiti-13599	158	23	and	and	CCONJ
aiti-13599	158	24	the	the	DET
aiti-13599	158	25	number	number	NOUN
aiti-13599	158	26	of	of	ADP
aiti-13599	158	27	occurrences	occurrence	NOUN
aiti-13599	158	28	of	of	ADP
aiti-13599	158	29	‘	'	PUNCT
aiti-13599	158	30	b	b	X
aiti-13599	158	31	’	'	PUNCT
aiti-13599	158	32	is	be	AUX
aiti-13599	158	33	divisible	divisible	ADJ
aiti-13599	158	34	by	by	ADP
aiti-13599	158	35	2	2	NUM
aiti-13599	158	36	which	which	PRON
aiti-13599	158	37	means	mean	VERB
aiti-13599	158	38	the	the	DET
aiti-13599	158	39	final	final	ADJ
aiti-13599	158	40	state	state	NOUN
aiti-13599	158	41	that	that	PRON
aiti-13599	158	42	accepts	accept	VERB
aiti-13599	158	43	strings	string	NOUN
aiti-13599	158	44	with	with	ADP
aiti-13599	158	45	‘	'	PUNCT
aiti-13599	158	46	a	a	PRON
aiti-13599	158	47	’	'	PUNCT
aiti-13599	158	48	such	such	ADJ
aiti-13599	158	49	that	that	SCONJ
aiti-13599	158	50	the	the	DET
aiti-13599	158	51	number	number	NOUN
aiti-13599	158	52	of	of	ADP
aiti-13599	158	53	occurrences	occurrence	NOUN
aiti-13599	158	54	of	of	ADP
aiti-13599	158	55	‘	'	PUNCT
aiti-13599	158	56	a	a	DET
aiti-13599	158	57	’	'	PUNCT
aiti-13599	158	58	modulo	modulo	NOUN
aiti-13599	158	59	3	3	NUM
aiti-13599	158	60	equals	equal	VERB
aiti-13599	158	61	0	0	NUM
aiti-13599	158	62	,	,	PUNCT
aiti-13599	158	63	and	and	CCONJ
aiti-13599	158	64	‘	'	PUNCT
aiti-13599	158	65	b	b	X
aiti-13599	158	66	’	'	PUNCT
aiti-13599	158	67	modulo	modulo	NOUN
aiti-13599	158	68	2	2	NUM
aiti-13599	158	69	equals	equal	VERB
aiti-13599	158	70	0	0	NUM
aiti-13599	158	71	,	,	PUNCT
aiti-13599	158	72	would	would	AUX
aiti-13599	158	73	be	be	AUX
aiti-13599	158	74	identified	identify	VERB
aiti-13599	158	75	as	as	ADP
aiti-13599	158	76	an	an	DET
aiti-13599	158	77	accepting	accept	VERB
aiti-13599	158	78	state	state	NOUN
aiti-13599	158	79	.	.	PUNCT
aiti-13599	159	1	here	here	ADV
aiti-13599	159	2	the	the	DET
aiti-13599	159	3	final	final	ADJ
aiti-13599	159	4	state	state	NOUN
aiti-13599	159	5	is	be	AUX
aiti-13599	159	6	q0	q0	VERB
aiti-13599	159	7	for	for	ADP
aiti-13599	159	8	the	the	DET
aiti-13599	159	9	given	give	VERB
aiti-13599	159	10	example	example	NOUN
aiti-13599	159	11	is	be	AUX
aiti-13599	159	12	shown	show	VERB
aiti-13599	159	13	in	in	ADP
aiti-13599	159	14	the	the	DET
aiti-13599	159	15	following	follow	VERB
aiti-13599	159	16	fig	fig	NOUN
aiti-13599	159	17	.	.	PUNCT
aiti-13599	160	1	6	6	NUM
aiti-13599	160	2	.	.	X
aiti-13599	160	3	fig	fig	NOUN
aiti-13599	160	4	.	.	PUNCT
aiti-13599	161	1	6	6	NUM
aiti-13599	161	2	final	final	ADJ
aiti-13599	161	3	states	state	NOUN
aiti-13599	161	4	for	for	ADP
aiti-13599	161	5	accepting	accept	VERB
aiti-13599	161	6	strings	string	NOUN
aiti-13599	161	7	with	with	ADP
aiti-13599	161	8	divisibility	divisibility	NOUN
aiti-13599	161	9	conditions	condition	NOUN
aiti-13599	161	10	(	(	PUNCT
aiti-13599	161	11	7	7	X
aiti-13599	161	12	)	)	PUNCT
aiti-13599	161	13	construct	construct	VERB
aiti-13599	161	14	finite	finite	PROPN
aiti-13599	161	15	automaton	automaton	PROPN
aiti-13599	161	16	:	:	PUNCT
aiti-13599	161	17	combine	combine	VERB
aiti-13599	161	18	the	the	DET
aiti-13599	161	19	organized	organize	VERB
aiti-13599	161	20	grid	grid	NOUN
aiti-13599	161	21	layout	layout	NOUN
aiti-13599	161	22	with	with	ADP
aiti-13599	161	23	the	the	DET
aiti-13599	161	24	defined	define	VERB
aiti-13599	161	25	transition	transition	NOUN
aiti-13599	161	26	function	function	NOUN
aiti-13599	161	27	,	,	PUNCT
aiti-13599	161	28	initial	initial	ADJ
aiti-13599	161	29	state	state	NOUN
aiti-13599	161	30	,	,	PUNCT
aiti-13599	161	31	and	and	CCONJ
aiti-13599	161	32	accepting	accept	VERB
aiti-13599	161	33	states	state	NOUN
aiti-13599	161	34	to	to	PART
aiti-13599	161	35	construct	construct	VERB
aiti-13599	161	36	the	the	DET
aiti-13599	161	37	finite	finite	PROPN
aiti-13599	161	38	automaton	automaton	NOUN
aiti-13599	161	39	.	.	PUNCT
aiti-13599	162	1	for	for	ADP
aiti-13599	162	2	this	this	DET
aiti-13599	162	3	language	language	NOUN
aiti-13599	162	4	,	,	PUNCT
aiti-13599	162	5	both	both	DET
aiti-13599	162	6	dfa	dfa	PROPN
aiti-13599	162	7	and	and	CCONJ
aiti-13599	162	8	nfa	nfa	PROPN
aiti-13599	162	9	are	be	AUX
aiti-13599	162	10	equivalent	equivalent	ADJ
aiti-13599	162	11	,	,	PUNCT
aiti-13599	162	12	as	as	SCONJ
aiti-13599	162	13	there	there	PRON
aiti-13599	162	14	are	be	VERB
aiti-13599	162	15	no	no	DET
aiti-13599	162	16	dead	dead	ADJ
aiti-13599	162	17	states	state	NOUN
aiti-13599	162	18	and	and	CCONJ
aiti-13599	162	19	each	each	DET
aiti-13599	162	20	symbol	symbol	NOUN
aiti-13599	162	21	allows	allow	VERB
aiti-13599	162	22	for	for	ADP
aiti-13599	162	23	only	only	ADV
aiti-13599	162	24	a	a	DET
aiti-13599	162	25	single	single	ADJ
aiti-13599	162	26	transition	transition	NOUN
aiti-13599	162	27	,	,	PUNCT
aiti-13599	162	28	ensuring	ensure	VERB
aiti-13599	162	29	determinism	determinism	NOUN
aiti-13599	162	30	in	in	ADP
aiti-13599	162	31	both	both	DET
aiti-13599	162	32	models	model	NOUN
aiti-13599	162	33	.	.	PUNCT
aiti-13599	163	1	the	the	DET
aiti-13599	163	2	final	final	ADJ
aiti-13599	163	3	automata	automata	NOUN
aiti-13599	163	4	is	be	AUX
aiti-13599	163	5	shown	show	VERB
aiti-13599	163	6	in	in	ADP
aiti-13599	163	7	fig	fig	NOUN
aiti-13599	163	8	.	.	PUNCT
aiti-13599	164	1	7	7	X
aiti-13599	164	2	.	.	X
aiti-13599	164	3	after	after	ADP
aiti-13599	164	4	transposing	transpose	VERB
aiti-13599	164	5	,	,	PUNCT
aiti-13599	164	6	the	the	DET
aiti-13599	164	7	resulting	result	VERB
aiti-13599	164	8	n	n	PRON
aiti-13599	164	9	×	×	NOUN
aiti-13599	164	10	m	m	NOUN
aiti-13599	164	11	matrix	matrix	NOUN
aiti-13599	164	12	or	or	CCONJ
aiti-13599	164	13	3	3	NUM
aiti-13599	164	14	×	×	NOUN
aiti-13599	164	15	2	2	NUM
aiti-13599	164	16	matrix	matrix	NOUN
aiti-13599	164	17	represents	represent	VERB
aiti-13599	164	18	the	the	DET
aiti-13599	164	19	same	same	ADJ
aiti-13599	164	20	finite	finite	NOUN
aiti-13599	164	21	automaton	automaton	NOUN
aiti-13599	164	22	as	as	ADP
aiti-13599	164	23	the	the	DET
aiti-13599	164	24	original	original	ADJ
aiti-13599	164	25	m	m	PRON
aiti-13599	164	26	×	×	NOUN
aiti-13599	164	27	n	n	PRON
aiti-13599	164	28	matrix	matrix	NOUN
aiti-13599	164	29	,	,	PUNCT
aiti-13599	164	30	ensuring	ensure	VERB
aiti-13599	164	31	equivalence	equivalence	NOUN
aiti-13599	164	32	in	in	ADP
aiti-13599	164	33	their	their	PRON
aiti-13599	164	34	functionality	functionality	NOUN
aiti-13599	164	35	and	and	CCONJ
aiti-13599	164	36	language	language	NOUN
aiti-13599	164	37	recognition	recognition	NOUN
aiti-13599	164	38	capabilities	capability	NOUN
aiti-13599	164	39	.	.	PUNCT
aiti-13599	165	1	this	this	DET
aiti-13599	165	2	automaton	automaton	NOUN
aiti-13599	165	3	is	be	AUX
aiti-13599	165	4	shown	show	VERB
aiti-13599	165	5	in	in	ADP
aiti-13599	165	6	the	the	DET
aiti-13599	165	7	following	follow	VERB
aiti-13599	165	8	fig	fig	NOUN
aiti-13599	165	9	.	.	PUNCT
aiti-13599	166	1	8	8	NUM
aiti-13599	166	2	.	.	X
aiti-13599	166	3	fig	fig	NOUN
aiti-13599	166	4	.	.	PUNCT
aiti-13599	167	1	7	7	NUM
aiti-13599	167	2	constructed	construct	VERB
aiti-13599	167	3	finite	finite	ADJ
aiti-13599	167	4	automaton	automaton	NOUN
aiti-13599	167	5	with	with	ADP
aiti-13599	167	6	grid	grid	NOUN
aiti-13599	167	7	automata	automata	NOUN
aiti-13599	167	8	method	method	NOUN
aiti-13599	167	9	fig	fig	NOUN
aiti-13599	167	10	.	.	PUNCT
aiti-13599	167	11	8	8	NUM
aiti-13599	167	12	equivalence	equivalence	NOUN
aiti-13599	167	13	of	of	ADP
aiti-13599	167	14	transposed	transposed	ADJ
aiti-13599	167	15	and	and	CCONJ
aiti-13599	167	16	original	original	ADJ
aiti-13599	167	17	grid	grid	NOUN
aiti-13599	167	18	automaton	automaton	NOUN
aiti-13599	167	19	(	(	PUNCT
aiti-13599	167	20	8)	8)	NUM
aiti-13599	167	21	validate	validate	ADJ
aiti-13599	167	22	automata	automata	NOUN
aiti-13599	167	23	:	:	PUNCT
aiti-13599	167	24	the	the	DET
aiti-13599	167	25	constructed	construct	VERB
aiti-13599	167	26	finite	finite	PROPN
aiti-13599	167	27	automaton	automaton	PROPN
aiti-13599	167	28	undergoes	undergo	VERB
aiti-13599	167	29	thorough	thorough	ADJ
aiti-13599	167	30	testing	testing	NOUN
aiti-13599	167	31	using	use	VERB
aiti-13599	167	32	sample	sample	NOUN
aiti-13599	167	33	input	input	NOUN
aiti-13599	167	34	strings	string	NOUN
aiti-13599	167	35	to	to	PART
aiti-13599	167	36	confirm	confirm	VERB
aiti-13599	167	37	its	its	PRON
aiti-13599	167	38	functionality	functionality	NOUN
aiti-13599	167	39	and	and	CCONJ
aiti-13599	167	40	adherence	adherence	NOUN
aiti-13599	167	41	to	to	ADP
aiti-13599	167	42	language	language	NOUN
aiti-13599	167	43	criteria	criterion	NOUN
aiti-13599	167	44	.	.	PUNCT
aiti-13599	168	1	valid	valid	ADJ
aiti-13599	168	2	inputs	input	NOUN
aiti-13599	168	3	,	,	PUNCT
aiti-13599	168	4	such	such	ADJ
aiti-13599	168	5	as	as	ADP
aiti-13599	168	6	{	{	PUNCT
aiti-13599	168	7	“	"	PUNCT
aiti-13599	168	8	ε	ε	PROPN
aiti-13599	168	9	”	"	PUNCT
aiti-13599	168	10	,	,	PUNCT
aiti-13599	168	11	“	"	PUNCT
aiti-13599	168	12	a3	a3	NOUN
aiti-13599	168	13	”	"	PUNCT
aiti-13599	168	14	,	,	PUNCT
aiti-13599	168	15	“	"	PUNCT
aiti-13599	168	16	b2	b2	NOUN
aiti-13599	168	17	”	"	PUNCT
aiti-13599	168	18	,	,	PUNCT
aiti-13599	168	19	“	"	PUNCT
aiti-13599	168	20	a6	a6	NOUN
aiti-13599	168	21	”	"	PUNCT
aiti-13599	168	22	,	,	PUNCT
aiti-13599	168	23	“	"	PUNCT
aiti-13599	168	24	aaabb	aaabb	PROPN
aiti-13599	168	25	”	"	PUNCT
aiti-13599	168	26	,	,	PUNCT
aiti-13599	168	27	“	"	PUNCT
aiti-13599	168	28	ababa	ababa	PROPN
aiti-13599	168	29	”	"	PUNCT
aiti-13599	168	30	,	,	PUNCT
aiti-13599	168	31	“	"	PUNCT
aiti-13599	168	32	aabbbbaaaa	aabbbbaaaa	NOUN
aiti-13599	168	33	”	"	PUNCT
aiti-13599	168	34	}	}	PUNCT
aiti-13599	168	35	,	,	PUNCT
aiti-13599	168	36	demonstrate	demonstrate	VERB
aiti-13599	168	37	its	its	PRON
aiti-13599	168	38	ability	ability	NOUN
aiti-13599	168	39	to	to	PART
aiti-13599	168	40	recognize	recognize	VERB
aiti-13599	168	41	compliant	compliant	ADJ
aiti-13599	168	42	strings	string	NOUN
aiti-13599	168	43	.	.	PUNCT
aiti-13599	169	1	conversely	conversely	ADV
aiti-13599	169	2	,	,	PUNCT
aiti-13599	169	3	invalid	invalid	ADJ
aiti-13599	169	4	inputs	input	NOUN
aiti-13599	169	5	,	,	PUNCT
aiti-13599	169	6	like	like	ADP
aiti-13599	169	7	{	{	PUNCT
aiti-13599	169	8	“	"	PUNCT
aiti-13599	169	9	a	a	PRON
aiti-13599	169	10	”	"	PUNCT
aiti-13599	169	11	,	,	PUNCT
aiti-13599	169	12	“	"	PUNCT
aiti-13599	169	13	b	b	X
aiti-13599	169	14	”	"	PUNCT
aiti-13599	169	15	,	,	PUNCT
aiti-13599	169	16	“	"	PUNCT
aiti-13599	169	17	ab	ab	X
aiti-13599	169	18	”	"	PUNCT
aiti-13599	169	19	,	,	PUNCT
aiti-13599	169	20	“	"	PUNCT
aiti-13599	169	21	aaab	aaab	PROPN
aiti-13599	169	22	”	"	PUNCT
aiti-13599	169	23	,	,	PUNCT
aiti-13599	169	24	“	"	PUNCT
aiti-13599	169	25	aabbb	aabbb	ADJ
aiti-13599	169	26	”	"	PUNCT
aiti-13599	169	27	,	,	PUNCT
aiti-13599	169	28	“	"	PUNCT
aiti-13599	169	29	aaabbba	aaabbba	NOUN
aiti-13599	169	30	”	"	PUNCT
aiti-13599	169	31	}	}	PUNCT
aiti-13599	169	32	,	,	PUNCT
aiti-13599	169	33	validate	validate	VERB
aiti-13599	169	34	its	its	PRON
aiti-13599	169	35	rejection	rejection	NOUN
aiti-13599	169	36	of	of	ADP
aiti-13599	169	37	non	non	ADJ
aiti-13599	169	38	-	-	ADJ
aiti-13599	169	39	conforming	conforming	ADJ
aiti-13599	169	40	strings	string	NOUN
aiti-13599	169	41	.	.	PUNCT
aiti-13599	170	1	(	(	PUNCT
aiti-13599	170	2	9	9	X
aiti-13599	170	3	)	)	PUNCT
aiti-13599	170	4	refine	refine	VERB
aiti-13599	170	5	grid	grid	NOUN
aiti-13599	170	6	layout	layout	NOUN
aiti-13599	170	7	or	or	CCONJ
aiti-13599	170	8	transition	transition	NOUN
aiti-13599	170	9	function	function	NOUN
aiti-13599	170	10	(	(	PUNCT
aiti-13599	170	11	if	if	SCONJ
aiti-13599	170	12	necessary	necessary	ADJ
aiti-13599	170	13	):	):	PUNCT
aiti-13599	170	14	post	post	ADJ
aiti-13599	170	15	-	-	ADJ
aiti-13599	170	16	validation	validation	NOUN
aiti-13599	170	17	,	,	PUNCT
aiti-13599	170	18	the	the	DET
aiti-13599	170	19	automaton	automaton	NOUN
aiti-13599	170	20	undergoes	undergo	VERB
aiti-13599	170	21	meticulous	meticulous	ADJ
aiti-13599	170	22	evaluation	evaluation	NOUN
aiti-13599	170	23	,	,	PUNCT
aiti-13599	170	24	refining	refine	VERB
aiti-13599	170	25	its	its	PRON
aiti-13599	170	26	layout	layout	NOUN
aiti-13599	170	27	or	or	CCONJ
aiti-13599	170	28	transition	transition	NOUN
aiti-13599	170	29	function	function	NOUN
aiti-13599	170	30	for	for	ADP
aiti-13599	170	31	improved	improved	ADJ
aiti-13599	170	32	accuracy	accuracy	NOUN
aiti-13599	170	33	and	and	CCONJ
aiti-13599	170	34	efficiency	efficiency	NOUN
aiti-13599	170	35	,	,	PUNCT
aiti-13599	170	36	ensuring	ensure	VERB
aiti-13599	170	37	alignment	alignment	NOUN
aiti-13599	170	38	with	with	ADP
aiti-13599	170	39	language	language	NOUN
aiti-13599	170	40	pattern	pattern	NOUN
aiti-13599	170	41	.	.	PUNCT
aiti-13599	171	1	(	(	PUNCT
aiti-13599	171	2	10	10	NUM
aiti-13599	171	3	)	)	PUNCT
aiti-13599	171	4	finalization	finalization	NOUN
aiti-13599	171	5	:	:	PUNCT
aiti-13599	171	6	with	with	ADP
aiti-13599	171	7	validation	validation	NOUN
aiti-13599	171	8	and	and	CCONJ
aiti-13599	171	9	refinement	refinement	NOUN
aiti-13599	171	10	complete	complete	ADJ
aiti-13599	171	11	,	,	PUNCT
aiti-13599	171	12	the	the	DET
aiti-13599	171	13	finite	finite	ADJ
aiti-13599	171	14	automaton	automaton	NOUN
aiti-13599	171	15	is	be	AUX
aiti-13599	171	16	primed	prime	VERB
aiti-13599	171	17	for	for	ADP
aiti-13599	171	18	real	real	ADJ
aiti-13599	171	19	-	-	PUNCT
aiti-13599	171	20	world	world	NOUN
aiti-13599	171	21	deployment	deployment	NOUN
aiti-13599	171	22	,	,	PUNCT
aiti-13599	171	23	offering	offer	VERB
aiti-13599	171	24	dependable	dependable	ADJ
aiti-13599	171	25	language	language	NOUN
aiti-13599	171	26	processing	processing	NOUN
aiti-13599	171	27	capabilities	capability	NOUN
aiti-13599	171	28	.	.	PUNCT
aiti-13599	172	1	end	end	NOUN
aiti-13599	172	2	of	of	ADP
aiti-13599	172	3	example	example	NOUN
aiti-13599	172	4	1	1	NUM
aiti-13599	172	5	246	246	NUM
aiti-13599	172	6	advances	advance	NOUN
aiti-13599	172	7	in	in	ADP
aiti-13599	172	8	technology	technology	NOUN
aiti-13599	172	9	innovation	innovation	NOUN
aiti-13599	172	10	,	,	PUNCT
aiti-13599	172	11	vol	vol	NOUN
aiti-13599	172	12	.	.	PROPN
aiti-13599	173	1	9	9	NUM
aiti-13599	173	2	,	,	PUNCT
aiti-13599	173	3	no	no	INTJ
aiti-13599	173	4	.	.	NOUN
aiti-13599	173	5	3	3	NUM
aiti-13599	173	6	,	,	PUNCT
aiti-13599	173	7	2024	2024	NUM
aiti-13599	173	8	,	,	PUNCT
aiti-13599	173	9	pp	pp	ADV
aiti-13599	173	10	.	.	PUNCT
aiti-13599	174	1	239	239	NUM
aiti-13599	174	2	-	-	SYM
aiti-13599	174	3	255	255	NUM
aiti-13599	174	4	after	after	ADP
aiti-13599	174	5	studying	study	VERB
aiti-13599	174	6	the	the	DET
aiti-13599	174	7	grid	grid	NOUN
aiti-13599	174	8	automata	automata	NOUN
aiti-13599	174	9	algorithm	algorithm	NOUN
aiti-13599	174	10	and	and	CCONJ
aiti-13599	174	11	providing	provide	VERB
aiti-13599	174	12	an	an	DET
aiti-13599	174	13	example	example	NOUN
aiti-13599	174	14	,	,	PUNCT
aiti-13599	174	15	a	a	DET
aiti-13599	174	16	concise	concise	ADJ
aiti-13599	174	17	algorithm	algorithm	NOUN
aiti-13599	174	18	is	be	AUX
aiti-13599	174	19	derived	derive	VERB
aiti-13599	174	20	for	for	ADP
aiti-13599	174	21	constructing	construct	VERB
aiti-13599	174	22	finite	finite	ADJ
aiti-13599	174	23	automata	automata	NOUN
aiti-13599	174	24	using	use	VERB
aiti-13599	174	25	the	the	DET
aiti-13599	174	26	grid	grid	NOUN
aiti-13599	174	27	automata	automata	NOUN
aiti-13599	174	28	method	method	NOUN
aiti-13599	174	29	.	.	PUNCT
aiti-13599	175	1	this	this	DET
aiti-13599	175	2	shortened	shorten	VERB
aiti-13599	175	3	algorithm	algorithm	NOUN
aiti-13599	175	4	aims	aim	VERB
aiti-13599	175	5	to	to	PART
aiti-13599	175	6	provide	provide	VERB
aiti-13599	175	7	a	a	DET
aiti-13599	175	8	quick	quick	ADJ
aiti-13599	175	9	overview	overview	NOUN
aiti-13599	175	10	of	of	ADP
aiti-13599	175	11	the	the	DET
aiti-13599	175	12	key	key	ADJ
aiti-13599	175	13	steps	step	NOUN
aiti-13599	175	14	involved	involve	VERB
aiti-13599	175	15	.	.	PUNCT
aiti-13599	176	1	3.1.2	3.1.2	X
aiti-13599	176	2	.	.	PUNCT
aiti-13599	176	3	algorithm	algorithm	NOUN
aiti-13599	176	4	2	2	NUM
aiti-13599	176	5	:	:	PUNCT
aiti-13599	176	6	construction	construction	NOUN
aiti-13599	176	7	of	of	ADP
aiti-13599	176	8	finite	finite	ADJ
aiti-13599	176	9	automata	automata	NOUN
aiti-13599	176	10	using	use	VERB
aiti-13599	176	11	grid	grid	NOUN
aiti-13599	176	12	automata	automata	NOUN
aiti-13599	176	13	method	method	NOUN
aiti-13599	176	14	(	(	PUNCT
aiti-13599	176	15	summarized	summarize	VERB
aiti-13599	176	16	approach	approach	NOUN
aiti-13599	176	17	)	)	PUNCT
aiti-13599	176	18	the	the	DET
aiti-13599	176	19	aforementioned	aforementioned	ADJ
aiti-13599	176	20	approach	approach	NOUN
aiti-13599	176	21	encapsulates	encapsulate	VERB
aiti-13599	176	22	the	the	DET
aiti-13599	176	23	key	key	ADJ
aiti-13599	176	24	breakthroughs	breakthrough	NOUN
aiti-13599	176	25	of	of	ADP
aiti-13599	176	26	the	the	DET
aiti-13599	176	27	grid	grid	NOUN
aiti-13599	176	28	automata	automata	NOUN
aiti-13599	176	29	method	method	NOUN
aiti-13599	176	30	for	for	ADP
aiti-13599	176	31	building	build	VERB
aiti-13599	176	32	finite	finite	ADJ
aiti-13599	176	33	automata	automata	NOUN
aiti-13599	176	34	.	.	PUNCT
aiti-13599	177	1	the	the	DET
aiti-13599	177	2	fundamental	fundamental	ADJ
aiti-13599	177	3	contribution	contribution	NOUN
aiti-13599	177	4	is	be	AUX
aiti-13599	177	5	a	a	DET
aiti-13599	177	6	streamlined	streamlined	ADJ
aiti-13599	177	7	process	process	NOUN
aiti-13599	177	8	that	that	PRON
aiti-13599	177	9	considerably	considerably	ADV
aiti-13599	177	10	decreases	decrease	VERB
aiti-13599	177	11	computing	compute	VERB
aiti-13599	177	12	overhead	overhead	ADV
aiti-13599	177	13	while	while	SCONJ
aiti-13599	177	14	ensuring	ensure	VERB
aiti-13599	177	15	excellent	excellent	ADJ
aiti-13599	177	16	accuracy	accuracy	NOUN
aiti-13599	177	17	and	and	CCONJ
aiti-13599	177	18	consistency	consistency	NOUN
aiti-13599	177	19	in	in	ADP
aiti-13599	177	20	automata	automata	NOUN
aiti-13599	177	21	production	production	NOUN
aiti-13599	177	22	.	.	PUNCT
aiti-13599	178	1	this	this	DET
aiti-13599	178	2	method	method	NOUN
aiti-13599	178	3	stands	stand	VERB
aiti-13599	178	4	out	out	ADP
aiti-13599	178	5	because	because	SCONJ
aiti-13599	178	6	it	it	PRON
aiti-13599	178	7	provides	provide	VERB
aiti-13599	178	8	a	a	DET
aiti-13599	178	9	simple	simple	ADJ
aiti-13599	178	10	yet	yet	CCONJ
aiti-13599	178	11	powerful	powerful	ADJ
aiti-13599	178	12	tool	tool	NOUN
aiti-13599	178	13	for	for	ADP
aiti-13599	178	14	automata	automata	NOUN
aiti-13599	178	15	construction	construction	NOUN
aiti-13599	178	16	,	,	PUNCT
aiti-13599	178	17	demonstrating	demonstrate	VERB
aiti-13599	178	18	the	the	DET
aiti-13599	178	19	progress	progress	NOUN
aiti-13599	178	20	in	in	ADP
aiti-13599	178	21	grid	grid	NOUN
aiti-13599	178	22	-	-	PUNCT
aiti-13599	178	23	based	base	VERB
aiti-13599	178	24	automata	automata	NOUN
aiti-13599	178	25	theory	theory	NOUN
aiti-13599	178	26	.	.	PUNCT
aiti-13599	179	1	the	the	DET
aiti-13599	179	2	summary	summary	NOUN
aiti-13599	179	3	approach	approach	NOUN
aiti-13599	179	4	focuses	focus	VERB
aiti-13599	179	5	on	on	ADP
aiti-13599	179	6	how	how	SCONJ
aiti-13599	179	7	the	the	DET
aiti-13599	179	8	strategy	strategy	NOUN
aiti-13599	179	9	may	may	AUX
aiti-13599	179	10	be	be	AUX
aiti-13599	179	11	effectively	effectively	ADV
aiti-13599	179	12	applied	apply	VERB
aiti-13599	179	13	to	to	ADP
aiti-13599	179	14	a	a	DET
aiti-13599	179	15	variety	variety	NOUN
aiti-13599	179	16	of	of	ADP
aiti-13599	179	17	real	real	ADJ
aiti-13599	179	18	-	-	PUNCT
aiti-13599	179	19	world	world	NOUN
aiti-13599	179	20	settings	setting	NOUN
aiti-13599	179	21	,	,	PUNCT
aiti-13599	179	22	displaying	display	VERB
aiti-13599	179	23	versatility	versatility	NOUN
aiti-13599	179	24	and	and	CCONJ
aiti-13599	179	25	adaptability	adaptability	NOUN
aiti-13599	179	26	.	.	PUNCT
aiti-13599	180	1	furthermore	furthermore	ADV
aiti-13599	180	2	,	,	PUNCT
aiti-13599	180	3	it	it	PRON
aiti-13599	180	4	gives	give	VERB
aiti-13599	180	5	a	a	DET
aiti-13599	180	6	direct	direct	ADJ
aiti-13599	180	7	comparison	comparison	NOUN
aiti-13599	180	8	to	to	ADP
aiti-13599	180	9	existing	exist	VERB
aiti-13599	180	10	methodologies	methodology	NOUN
aiti-13599	180	11	,	,	PUNCT
aiti-13599	180	12	emphasizing	emphasize	VERB
aiti-13599	180	13	the	the	DET
aiti-13599	180	14	gains	gain	NOUN
aiti-13599	180	15	in	in	ADP
aiti-13599	180	16	efficiency	efficiency	NOUN
aiti-13599	180	17	and	and	CCONJ
aiti-13599	180	18	reliability	reliability	NOUN
aiti-13599	180	19	that	that	PRON
aiti-13599	180	20	the	the	DET
aiti-13599	180	21	methodology	methodology	NOUN
aiti-13599	180	22	brings	bring	VERB
aiti-13599	180	23	to	to	ADP
aiti-13599	180	24	the	the	DET
aiti-13599	180	25	area	area	NOUN
aiti-13599	180	26	.	.	PUNCT
aiti-13599	181	1	input	input	NOUN
aiti-13599	181	2	:	:	PUNCT
aiti-13599	182	1	finite	finite	PROPN
aiti-13599	182	2	automaton	automaton	NOUN
aiti-13599	182	3	specification	specification	NOUN
aiti-13599	182	4	(	(	PUNCT
aiti-13599	182	5	q	q	NOUN
aiti-13599	182	6	,	,	PUNCT
aiti-13599	182	7	σ	σ	PROPN
aiti-13599	182	8	,	,	PUNCT
aiti-13599	182	9	δ	δ	PROPN
aiti-13599	182	10	,	,	PUNCT
aiti-13599	182	11	q0	q0	PROPN
aiti-13599	182	12	,	,	PUNCT
aiti-13599	182	13	f	f	X
aiti-13599	182	14	)	)	PUNCT
aiti-13599	182	15	output	output	NOUN
aiti-13599	182	16	:	:	PUNCT
aiti-13599	182	17	deterministic	deterministic	ADJ
aiti-13599	182	18	finite	finite	PROPN
aiti-13599	182	19	automaton	automaton	PROPN
aiti-13599	182	20	(	(	PUNCT
aiti-13599	182	21	dfa	dfa	PROPN
aiti-13599	182	22	)	)	PUNCT
aiti-13599	182	23	or	or	CCONJ
aiti-13599	182	24	nondeterministic	nondeterministic	ADJ
aiti-13599	182	25	finite	finite	ADJ
aiti-13599	182	26	automaton	automaton	PROPN
aiti-13599	182	27	(	(	PUNCT
aiti-13599	182	28	nfa	nfa	PROPN
aiti-13599	182	29	)	)	PUNCT
aiti-13599	182	30	procedure	procedure	NOUN
aiti-13599	182	31	:	:	PUNCT
aiti-13599	182	32	(	(	PUNCT
aiti-13599	182	33	1	1	X
aiti-13599	182	34	)	)	PUNCT
aiti-13599	182	35	initialize	initialize	VERB
aiti-13599	182	36	input	input	NOUN
aiti-13599	182	37	alphabets	alphabet	NOUN
aiti-13599	182	38	.	.	PUNCT
aiti-13599	183	1	(	(	PUNCT
aiti-13599	183	2	2	2	X
aiti-13599	183	3	)	)	PUNCT
aiti-13599	183	4	define	define	VERB
aiti-13599	183	5	the	the	DET
aiti-13599	183	6	matrix	matrix	NOUN
aiti-13599	183	7	structure	structure	NOUN
aiti-13599	183	8	.	.	PUNCT
aiti-13599	184	1	(	(	PUNCT
aiti-13599	184	2	3	3	X
aiti-13599	184	3	)	)	PUNCT
aiti-13599	184	4	construct	construct	VERB
aiti-13599	184	5	a	a	DET
aiti-13599	184	6	finite	finite	ADJ
aiti-13599	184	7	automaton	automaton	NOUN
aiti-13599	184	8	for	for	ADP
aiti-13599	184	9	one	one	NUM
aiti-13599	184	10	condition	condition	NOUN
aiti-13599	184	11	,	,	PUNCT
aiti-13599	184	12	then	then	ADV
aiti-13599	184	13	balance	balance	VERB
aiti-13599	184	14	it	it	PRON
aiti-13599	184	15	with	with	ADP
aiti-13599	184	16	others	other	NOUN
aiti-13599	184	17	.	.	PUNCT
aiti-13599	185	1	(	(	PUNCT
aiti-13599	185	2	4	4	X
aiti-13599	185	3	)	)	PUNCT
aiti-13599	185	4	set	set	VERB
aiti-13599	185	5	the	the	DET
aiti-13599	185	6	first	first	ADJ
aiti-13599	185	7	state	state	NOUN
aiti-13599	185	8	as	as	ADP
aiti-13599	185	9	initial	initial	ADJ
aiti-13599	185	10	and	and	CCONJ
aiti-13599	185	11	determine	determine	VERB
aiti-13599	185	12	the	the	DET
aiti-13599	185	13	final	final	ADJ
aiti-13599	185	14	state	state	NOUN
aiti-13599	185	15	according	accord	VERB
aiti-13599	185	16	to	to	ADP
aiti-13599	185	17	the	the	DET
aiti-13599	185	18	conditions	condition	NOUN
aiti-13599	185	19	.	.	PUNCT
aiti-13599	186	1	add	add	VERB
aiti-13599	186	2	a	a	DET
aiti-13599	186	3	trap	trap	NOUN
aiti-13599	186	4	state	state	NOUN
aiti-13599	186	5	if	if	SCONJ
aiti-13599	186	6	needed	need	VERB
aiti-13599	186	7	to	to	PART
aiti-13599	186	8	handle	handle	VERB
aiti-13599	186	9	undefined	undefined	ADJ
aiti-13599	186	10	or	or	CCONJ
aiti-13599	186	11	unexpected	unexpected	ADJ
aiti-13599	186	12	inputs	input	NOUN
aiti-13599	186	13	.	.	PUNCT
aiti-13599	187	1	(	(	PUNCT
aiti-13599	187	2	5	5	X
aiti-13599	187	3	)	)	PUNCT
aiti-13599	187	4	validate	validate	VERB
aiti-13599	187	5	finite	finite	ADJ
aiti-13599	187	6	automaton	automaton	NOUN
aiti-13599	187	7	with	with	ADP
aiti-13599	187	8	representative	representative	ADJ
aiti-13599	187	9	strings	string	NOUN
aiti-13599	187	10	.	.	PUNCT
aiti-13599	188	1	end	end	NOUN
aiti-13599	188	2	of	of	ADP
aiti-13599	188	3	algorithm	algorithm	NOUN
aiti-13599	188	4	2	2	NUM
aiti-13599	188	5	different	different	ADJ
aiti-13599	188	6	automata	automata	NOUN
aiti-13599	188	7	types	type	NOUN
aiti-13599	188	8	,	,	PUNCT
aiti-13599	188	9	such	such	ADJ
aiti-13599	188	10	as	as	ADP
aiti-13599	188	11	at	at	ADP
aiti-13599	188	12	least	least	ADJ
aiti-13599	188	13	,	,	PUNCT
aiti-13599	188	14	atmost	atmost	ADJ
aiti-13599	188	15	,	,	PUNCT
aiti-13599	188	16	and	and	CCONJ
aiti-13599	188	17	exactly	exactly	ADV
aiti-13599	188	18	conditions	condition	NOUN
aiti-13599	188	19	,	,	PUNCT
aiti-13599	188	20	can	can	AUX
aiti-13599	188	21	be	be	AUX
aiti-13599	188	22	easily	easily	ADV
aiti-13599	188	23	designed	design	VERB
aiti-13599	188	24	using	use	VERB
aiti-13599	188	25	the	the	DET
aiti-13599	188	26	grid	grid	NOUN
aiti-13599	188	27	automata	automata	NOUN
aiti-13599	188	28	method	method	NOUN
aiti-13599	188	29	.	.	PUNCT
aiti-13599	189	1	from	from	ADP
aiti-13599	189	2	table	table	NOUN
aiti-13599	189	3	1	1	NUM
aiti-13599	189	4	,	,	PUNCT
aiti-13599	189	5	it	it	PRON
aiti-13599	189	6	is	be	AUX
aiti-13599	189	7	determined	determine	VERB
aiti-13599	189	8	that	that	SCONJ
aiti-13599	189	9	a	a	DET
aiti-13599	189	10	total	total	ADJ
aiti-13599	189	11	number	number	NOUN
aiti-13599	189	12	of	of	ADP
aiti-13599	189	13	states	state	NOUN
aiti-13599	189	14	is	be	AUX
aiti-13599	189	15	required	require	VERB
aiti-13599	189	16	,	,	PUNCT
aiti-13599	189	17	ensuring	ensure	VERB
aiti-13599	189	18	precise	precise	ADJ
aiti-13599	189	19	automata	automata	NOUN
aiti-13599	189	20	construction	construction	NOUN
aiti-13599	189	21	for	for	ADP
aiti-13599	189	22	accurate	accurate	ADJ
aiti-13599	189	23	language	language	NOUN
aiti-13599	189	24	recognition	recognition	NOUN
aiti-13599	189	25	.	.	PUNCT
aiti-13599	190	1	table	table	NOUN
aiti-13599	190	2	1	1	NUM
aiti-13599	190	3	rules	rule	NOUN
aiti-13599	190	4	for	for	ADP
aiti-13599	190	5	determining	determine	VERB
aiti-13599	190	6	the	the	DET
aiti-13599	190	7	total	total	ADJ
aiti-13599	190	8	number	number	NOUN
aiti-13599	190	9	of	of	ADP
aiti-13599	190	10	states	state	NOUN
aiti-13599	190	11	in	in	ADP
aiti-13599	190	12	grid	grid	NOUN
aiti-13599	190	13	automata	automata	NOUN
aiti-13599	190	14	condition	condition	NOUN
aiti-13599	190	15	automata	automata	NOUN
aiti-13599	190	16	type	type	NOUN
aiti-13599	190	17	rules	rule	NOUN
aiti-13599	190	18	for	for	ADP
aiti-13599	190	19	dfa	dfa	PROPN
aiti-13599	190	20	(	(	PUNCT
aiti-13599	190	21	total	total	ADJ
aiti-13599	190	22	states	state	NOUN
aiti-13599	190	23	)	)	PUNCT
aiti-13599	190	24	rules	rule	NOUN
aiti-13599	190	25	for	for	ADP
aiti-13599	190	26	nfa	nfa	PROPN
aiti-13599	190	27	(	(	PUNCT
aiti-13599	190	28	total	total	ADJ
aiti-13599	190	29	states	state	NOUN
aiti-13599	190	30	)	)	PUNCT
aiti-13599	190	31	atleast	atleast	ADJ
aiti-13599	190	32	single	single	ADJ
aiti-13599	190	33	alphabet	alphabet	NOUN
aiti-13599	190	34	(	(	PUNCT
aiti-13599	190	35	n	n	PROPN
aiti-13599	190	36	+	+	CCONJ
aiti-13599	190	37	1	1	NUM
aiti-13599	190	38	)	)	PUNCT
aiti-13599	190	39	(	(	PUNCT
aiti-13599	190	40	n	n	X
aiti-13599	190	41	+	+	CCONJ
aiti-13599	190	42	1	1	NUM
aiti-13599	190	43	)	)	PUNCT
aiti-13599	190	44	atmost	atmost	ADJ
aiti-13599	190	45	single	single	ADJ
aiti-13599	190	46	alphabet	alphabet	NOUN
aiti-13599	190	47	(	(	PUNCT
aiti-13599	190	48	n	n	PROPN
aiti-13599	190	49	+	+	CCONJ
aiti-13599	190	50	2	2	NUM
aiti-13599	190	51	)	)	PUNCT
aiti-13599	190	52	(	(	PUNCT
aiti-13599	190	53	n	n	X
aiti-13599	190	54	+	+	CCONJ
aiti-13599	190	55	1	1	NUM
aiti-13599	190	56	)	)	PUNCT
aiti-13599	190	57	exactly	exactly	ADV
aiti-13599	190	58	single	single	ADJ
aiti-13599	190	59	alphabet	alphabet	NOUN
aiti-13599	190	60	(	(	PUNCT
aiti-13599	190	61	n	n	PROPN
aiti-13599	190	62	+	+	CCONJ
aiti-13599	190	63	2	2	NUM
aiti-13599	190	64	)	)	PUNCT
aiti-13599	190	65	(	(	PUNCT
aiti-13599	190	66	n	n	X
aiti-13599	190	67	+	+	NOUN
aiti-13599	190	68	1	1	NUM
aiti-13599	190	69	)	)	PUNCT
aiti-13599	190	70	at	at	ADP
aiti-13599	190	71	least	least	ADJ
aiti-13599	190	72	all	all	PRON
aiti-13599	190	73	alphabets	alphabet	NOUN
aiti-13599	190	74	(	(	PUNCT
aiti-13599	190	75	n	n	NOUN
aiti-13599	190	76	+	+	CCONJ
aiti-13599	190	77	1	1	NUM
aiti-13599	190	78	)	)	PUNCT
aiti-13599	190	79	×	×	NOUN
aiti-13599	190	80	(	(	PUNCT
aiti-13599	190	81	m	m	VERB
aiti-13599	190	82	+	+	ADJ
aiti-13599	190	83	1	1	NUM
aiti-13599	190	84	)	)	PUNCT
aiti-13599	190	85	(	(	PUNCT
aiti-13599	190	86	n	n	X
aiti-13599	190	87	+	+	CCONJ
aiti-13599	190	88	1	1	NUM
aiti-13599	190	89	)	)	PUNCT
aiti-13599	190	90	×	×	NOUN
aiti-13599	190	91	(	(	PUNCT
aiti-13599	190	92	m	m	VERB
aiti-13599	190	93	+	+	ADJ
aiti-13599	190	94	1	1	NUM
aiti-13599	190	95	)	)	PUNCT
aiti-13599	190	96	at	at	ADP
aiti-13599	190	97	most	most	ADJ
aiti-13599	190	98	all	all	DET
aiti-13599	190	99	alphabets	alphabet	NOUN
aiti-13599	190	100	(	(	PUNCT
aiti-13599	190	101	n	n	NOUN
aiti-13599	190	102	+	+	CCONJ
aiti-13599	190	103	1	1	NUM
aiti-13599	190	104	)	)	PUNCT
aiti-13599	190	105	×	×	NOUN
aiti-13599	190	106	(	(	PUNCT
aiti-13599	190	107	m	m	VERB
aiti-13599	190	108	+	+	ADJ
aiti-13599	190	109	1	1	NUM
aiti-13599	190	110	)	)	PUNCT
aiti-13599	191	1	+	+	CCONJ
aiti-13599	191	2	1	1	NUM
aiti-13599	191	3	(	(	PUNCT
aiti-13599	191	4	n	n	NOUN
aiti-13599	191	5	+	+	CCONJ
aiti-13599	191	6	1	1	NUM
aiti-13599	191	7	)	)	PUNCT
aiti-13599	191	8	×	×	NOUN
aiti-13599	191	9	(	(	PUNCT
aiti-13599	191	10	m	m	VERB
aiti-13599	191	11	+	+	ADJ
aiti-13599	191	12	1	1	NUM
aiti-13599	191	13	)	)	PUNCT
aiti-13599	191	14	exactly	exactly	ADV
aiti-13599	191	15	all	all	DET
aiti-13599	191	16	alphabets	alphabet	NOUN
aiti-13599	191	17	(	(	PUNCT
aiti-13599	191	18	n	n	NOUN
aiti-13599	191	19	+	+	CCONJ
aiti-13599	191	20	1	1	NUM
aiti-13599	191	21	)	)	PUNCT
aiti-13599	191	22	×	×	NOUN
aiti-13599	191	23	(	(	PUNCT
aiti-13599	191	24	m	m	VERB
aiti-13599	191	25	+	+	ADJ
aiti-13599	191	26	1	1	NUM
aiti-13599	191	27	)	)	PUNCT
aiti-13599	192	1	+	+	CCONJ
aiti-13599	192	2	1	1	NUM
aiti-13599	192	3	(	(	PUNCT
aiti-13599	192	4	n	n	NOUN
aiti-13599	192	5	+	+	CCONJ
aiti-13599	192	6	1	1	NUM
aiti-13599	192	7	)	)	PUNCT
aiti-13599	192	8	×	×	NOUN
aiti-13599	192	9	(	(	PUNCT
aiti-13599	192	10	m	m	VERB
aiti-13599	192	11	+	+	ADJ
aiti-13599	192	12	1	1	X
aiti-13599	192	13	)	)	PUNCT
aiti-13599	192	14	example	example	NOUN
aiti-13599	192	15	2	2	NUM
aiti-13599	192	16	:	:	PUNCT
aiti-13599	192	17	consider	consider	VERB
aiti-13599	192	18	the	the	DET
aiti-13599	192	19	language	language	NOUN
aiti-13599	192	20	l	l	NOUN
aiti-13599	192	21	over	over	ADP
aiti-13599	192	22	the	the	DET
aiti-13599	192	23	alphabet	alphabet	NOUN
aiti-13599	192	24	{	{	PUNCT
aiti-13599	192	25	a	a	PROPN
aiti-13599	192	26	,	,	PUNCT
aiti-13599	192	27	b	b	NOUN
aiti-13599	192	28	}	}	PUNCT
aiti-13599	192	29	,	,	PUNCT
aiti-13599	192	30	defined	define	VERB
aiti-13599	192	31	as	as	ADP
aiti-13599	192	32	:	:	PUNCT
aiti-13599	192	33	l	l	NOUN
aiti-13599	192	34	=	=	PUNCT
aiti-13599	192	35	{	{	PUNCT
aiti-13599	192	36	w∈{a	w∈{a	NOUN
aiti-13599	192	37	,	,	PUNCT
aiti-13599	192	38	b	b	NOUN
aiti-13599	192	39	}	}	PUNCT
aiti-13599	192	40	∗	∗	NOUN
aiti-13599	192	41	∣	∣	NUM
aiti-13599	192	42	na(w	na(w	NOUN
aiti-13599	192	43	)	)	PUNCT
aiti-13599	192	44	≥	≥	NOUN
aiti-13599	192	45	3	3	NUM
aiti-13599	192	46	and	and	CCONJ
aiti-13599	192	47	nb(w	nb(w	NOUN
aiti-13599	192	48	)	)	PUNCT
aiti-13599	192	49	≥	≥	NOUN
aiti-13599	192	50	2	2	NUM
aiti-13599	192	51	}	}	PUNCT
aiti-13599	192	52	the	the	DET
aiti-13599	192	53	language	language	NOUN
aiti-13599	192	54	l	l	NOUN
aiti-13599	192	55	consists	consist	VERB
aiti-13599	192	56	of	of	ADP
aiti-13599	192	57	all	all	DET
aiti-13599	192	58	strings	string	NOUN
aiti-13599	192	59	over	over	ADP
aiti-13599	192	60	the	the	DET
aiti-13599	192	61	alphabet	alphabet	NOUN
aiti-13599	192	62	{	{	PUNCT
aiti-13599	192	63	a	a	PROPN
aiti-13599	192	64	,	,	PUNCT
aiti-13599	192	65	b	b	NOUN
aiti-13599	192	66	}	}	PUNCT
aiti-13599	192	67	where	where	SCONJ
aiti-13599	192	68	the	the	DET
aiti-13599	192	69	number	number	NOUN
aiti-13599	192	70	of	of	ADP
aiti-13599	192	71	occurrences	occurrence	NOUN
aiti-13599	192	72	of	of	ADP
aiti-13599	192	73	‘	'	PUNCT
aiti-13599	192	74	a	a	PRON
aiti-13599	192	75	’	'	PUNCT
aiti-13599	192	76	is	be	AUX
aiti-13599	192	77	at	at	ADV
aiti-13599	192	78	least	least	ADJ
aiti-13599	192	79	3	3	NUM
aiti-13599	192	80	and	and	CCONJ
aiti-13599	192	81	the	the	DET
aiti-13599	192	82	number	number	NOUN
aiti-13599	192	83	of	of	ADP
aiti-13599	192	84	occurrences	occurrence	NOUN
aiti-13599	192	85	of	of	ADP
aiti-13599	192	86	‘	'	PUNCT
aiti-13599	192	87	b	b	X
aiti-13599	192	88	’	'	PUNCT
aiti-13599	192	89	is	be	AUX
aiti-13599	192	90	at	at	ADV
aiti-13599	192	91	least	least	ADJ
aiti-13599	192	92	2	2	NUM
aiti-13599	192	93	.	.	PUNCT
aiti-13599	192	94	(	(	PUNCT
aiti-13599	192	95	1	1	X
aiti-13599	192	96	)	)	PUNCT
aiti-13599	192	97	initialize	initialize	VERB
aiti-13599	192	98	input	input	NOUN
aiti-13599	192	99	alphabets	alphabet	NOUN
aiti-13599	192	100	:	:	PUNCT
aiti-13599	192	101	σ	σ	X
aiti-13599	192	102	=	=	PUNCT
aiti-13599	192	103	{	{	PUNCT
aiti-13599	192	104	a	a	PRON
aiti-13599	192	105	,	,	PUNCT
aiti-13599	192	106	b	b	NOUN
aiti-13599	192	107	}	}	PUNCT
aiti-13599	192	108	(	(	PUNCT
aiti-13599	192	109	2	2	X
aiti-13599	192	110	)	)	PUNCT
aiti-13599	192	111	define	define	VERB
aiti-13599	192	112	matrix	matrix	NOUN
aiti-13599	192	113	structure	structure	NOUN
aiti-13599	192	114	:	:	PUNCT
aiti-13599	192	115	total	total	ADJ
aiti-13599	192	116	number	number	NOUN
aiti-13599	192	117	of	of	ADP
aiti-13599	192	118	states	state	NOUN
aiti-13599	192	119	using	use	VERB
aiti-13599	192	120	the	the	DET
aiti-13599	192	121	formula	formula	NOUN
aiti-13599	192	122	:	:	PUNCT
aiti-13599	192	123	(	(	PUNCT
aiti-13599	192	124	n	n	X
aiti-13599	192	125	+	+	CCONJ
aiti-13599	192	126	1	1	NUM
aiti-13599	192	127	)	)	PUNCT
aiti-13599	192	128	×	×	NOUN
aiti-13599	192	129	(	(	PUNCT
aiti-13599	192	130	m	m	VERB
aiti-13599	192	131	+	+	ADJ
aiti-13599	192	132	1	1	NUM
aiti-13599	192	133	)	)	PUNCT
aiti-13599	192	134	=	=	NOUN
aiti-13599	192	135	(	(	PUNCT
aiti-13599	192	136	3	3	NUM
aiti-13599	192	137	+	+	SYM
aiti-13599	192	138	1	1	NUM
aiti-13599	192	139	)	)	PUNCT
aiti-13599	192	140	×	×	NOUN
aiti-13599	192	141	(	(	PUNCT
aiti-13599	192	142	2	2	NUM
aiti-13599	192	143	+	+	NUM
aiti-13599	192	144	1	1	NUM
aiti-13599	192	145	)	)	PUNCT
aiti-13599	192	146	=	=	SYM
aiti-13599	192	147	4	4	NUM
aiti-13599	192	148	×	×	NOUN
aiti-13599	192	149	3	3	NUM
aiti-13599	192	150	=	=	SYM
aiti-13599	192	151	12	12	NUM
aiti-13599	192	152	.	.	PUNCT
aiti-13599	193	1	hence	hence	ADV
aiti-13599	193	2	,	,	PUNCT
aiti-13599	193	3	a	a	DET
aiti-13599	193	4	4	4	NUM
aiti-13599	193	5	×	×	NOUN
aiti-13599	193	6	3	3	NUM
aiti-13599	193	7	matrix	matrix	NOUN
aiti-13599	193	8	can	can	AUX
aiti-13599	193	9	be	be	AUX
aiti-13599	193	10	created	create	VERB
aiti-13599	193	11	to	to	PART
aiti-13599	193	12	represent	represent	VERB
aiti-13599	193	13	the	the	DET
aiti-13599	193	14	states	state	NOUN
aiti-13599	193	15	.	.	PUNCT
aiti-13599	194	1	(	(	PUNCT
aiti-13599	194	2	3	3	X
aiti-13599	194	3	)	)	PUNCT
aiti-13599	194	4	construct	construct	VERB
aiti-13599	194	5	finite	finite	ADJ
aiti-13599	194	6	automaton	automaton	NOUN
aiti-13599	194	7	for	for	ADP
aiti-13599	194	8	one	one	NUM
aiti-13599	194	9	condition	condition	NOUN
aiti-13599	194	10	,	,	PUNCT
aiti-13599	194	11	then	then	ADV
aiti-13599	194	12	balance	balance	VERB
aiti-13599	194	13	with	with	ADP
aiti-13599	194	14	others	other	NOUN
aiti-13599	194	15	:	:	PUNCT
aiti-13599	194	16	construct	construct	VERB
aiti-13599	194	17	finite	finite	ADJ
aiti-13599	194	18	automaton	automaton	NOUN
aiti-13599	194	19	by	by	ADP
aiti-13599	194	20	adding	add	VERB
aiti-13599	194	21	transitions	transition	NOUN
aiti-13599	194	22	for	for	ADP
aiti-13599	194	23	‘	'	PUNCT
aiti-13599	194	24	a	a	PRON
aiti-13599	194	25	’	'	PUNCT
aiti-13599	194	26	to	to	PART
aiti-13599	194	27	ensure	ensure	VERB
aiti-13599	194	28	at	at	ADP
aiti-13599	194	29	least	least	ADV
aiti-13599	194	30	3	3	NUM
aiti-13599	194	31	‘	'	PUNCT
aiti-13599	194	32	a	a	DET
aiti-13599	194	33	’	'	PUNCT
aiti-13599	194	34	'	'	PUNCT
aiti-13599	194	35	.	.	PUNCT
aiti-13599	195	1	refer	refer	VERB
aiti-13599	195	2	to	to	ADP
aiti-13599	195	3	the	the	DET
aiti-13599	195	4	following	follow	VERB
aiti-13599	195	5	fig	fig	NOUN
aiti-13599	195	6	.	.	PUNCT
aiti-13599	196	1	9	9	NUM
aiti-13599	196	2	for	for	ADP
aiti-13599	196	3	the	the	DET
aiti-13599	196	4	transitions	transition	NOUN
aiti-13599	196	5	involving	involve	VERB
aiti-13599	196	6	‘	'	PUNCT
aiti-13599	196	7	a	a	PRON
aiti-13599	196	8	’	'	PUNCT
aiti-13599	196	9	.	.	PUNCT
aiti-13599	197	1	balance	balance	VERB
aiti-13599	197	2	the	the	DET
aiti-13599	197	3	finite	finite	ADJ
aiti-13599	197	4	automaton	automaton	NOUN
aiti-13599	197	5	with	with	ADP
aiti-13599	197	6	transitions	transition	NOUN
aiti-13599	197	7	for	for	ADP
aiti-13599	197	8	‘	'	PUNCT
aiti-13599	197	9	b	b	NOUN
aiti-13599	197	10	’	'	PUNCT
aiti-13599	197	11	to	to	PART
aiti-13599	197	12	ensure	ensure	VERB
aiti-13599	197	13	at	at	ADP
aiti-13599	197	14	least	least	ADV
aiti-13599	197	15	2	2	NUM
aiti-13599	197	16	‘	'	PUNCT
aiti-13599	197	17	b	b	NOUN
aiti-13599	197	18	’	'	PUNCT
aiti-13599	197	19	.	.	PUNCT
aiti-13599	198	1	ensure	ensure	VERB
aiti-13599	198	2	that	that	SCONJ
aiti-13599	198	3	the	the	DET
aiti-13599	198	4	final	final	ADJ
aiti-13599	198	5	automaton	automaton	NOUN
aiti-13599	198	6	,	,	PUNCT
aiti-13599	198	7	balanced	balance	VERB
aiti-13599	198	8	with	with	ADP
aiti-13599	198	9	‘	'	PUNCT
aiti-13599	198	10	b	b	X
aiti-13599	198	11	’	'	PUNCT
aiti-13599	198	12	,	,	PUNCT
aiti-13599	198	13	accepts	accept	VERB
aiti-13599	198	14	strings	string	NOUN
aiti-13599	198	15	meeting	meet	VERB
aiti-13599	198	16	both	both	DET
aiti-13599	198	17	conditions	condition	NOUN
aiti-13599	198	18	.	.	PUNCT
aiti-13599	199	1	refer	refer	VERB
aiti-13599	199	2	to	to	ADP
aiti-13599	199	3	the	the	DET
aiti-13599	199	4	following	follow	VERB
aiti-13599	199	5	fig	fig	NOUN
aiti-13599	199	6	.	.	PUNCT
aiti-13599	200	1	10	10	NUM
aiti-13599	200	2	for	for	ADP
aiti-13599	200	3	the	the	DET
aiti-13599	200	4	final	final	ADJ
aiti-13599	200	5	balanced	balanced	ADJ
aiti-13599	200	6	automaton	automaton	NOUN
aiti-13599	200	7	.	.	PUNCT
aiti-13599	201	1	advances	advance	NOUN
aiti-13599	201	2	in	in	ADP
aiti-13599	201	3	technology	technology	NOUN
aiti-13599	201	4	innovation	innovation	NOUN
aiti-13599	201	5	,	,	PUNCT
aiti-13599	201	6	vol	vol	NOUN
aiti-13599	201	7	.	.	PROPN
aiti-13599	202	1	9	9	NUM
aiti-13599	202	2	,	,	PUNCT
aiti-13599	202	3	no	no	INTJ
aiti-13599	202	4	.	.	NOUN
aiti-13599	202	5	3	3	NUM
aiti-13599	202	6	,	,	PUNCT
aiti-13599	202	7	2024	2024	NUM
aiti-13599	202	8	,	,	PUNCT
aiti-13599	202	9	pp	pp	ADV
aiti-13599	202	10	.	.	PUNCT
aiti-13599	203	1	239	239	NUM
aiti-13599	203	2	-	-	SYM
aiti-13599	203	3	255	255	NUM
aiti-13599	203	4	247	247	NUM
aiti-13599	203	5	(	(	PUNCT
aiti-13599	203	6	4	4	NUM
aiti-13599	203	7	)	)	PUNCT
aiti-13599	203	8	set	set	VERB
aiti-13599	203	9	the	the	DET
aiti-13599	203	10	first	first	ADJ
aiti-13599	203	11	state	state	NOUN
aiti-13599	203	12	as	as	ADP
aiti-13599	203	13	initial	initial	ADJ
aiti-13599	203	14	and	and	CCONJ
aiti-13599	203	15	determine	determine	VERB
aiti-13599	203	16	the	the	DET
aiti-13599	203	17	final	final	ADJ
aiti-13599	203	18	state	state	NOUN
aiti-13599	203	19	according	accord	VERB
aiti-13599	203	20	to	to	ADP
aiti-13599	203	21	the	the	DET
aiti-13599	203	22	conditions	condition	NOUN
aiti-13599	203	23	.	.	PUNCT
aiti-13599	204	1	add	add	VERB
aiti-13599	204	2	a	a	DET
aiti-13599	204	3	trap	trap	NOUN
aiti-13599	204	4	state	state	NOUN
aiti-13599	204	5	to	to	PART
aiti-13599	204	6	handle	handle	VERB
aiti-13599	204	7	undefined	undefined	ADJ
aiti-13599	204	8	or	or	CCONJ
aiti-13599	204	9	unexpected	unexpected	ADJ
aiti-13599	204	10	inputs	input	NOUN
aiti-13599	204	11	:	:	PUNCT
aiti-13599	204	12	initial	initial	ADJ
aiti-13599	204	13	state	state	NOUN
aiti-13599	204	14	=	=	SYM
aiti-13599	204	15	q0	q0	PROPN
aiti-13599	204	16	.	.	PUNCT
aiti-13599	205	1	no	no	DET
aiti-13599	205	2	trap	trap	NOUN
aiti-13599	205	3	state	state	NOUN
aiti-13599	205	4	is	be	AUX
aiti-13599	205	5	needed	need	VERB
aiti-13599	205	6	as	as	SCONJ
aiti-13599	205	7	dfa	dfa	PROPN
aiti-13599	205	8	and	and	CCONJ
aiti-13599	205	9	nfa	nfa	PROPN
aiti-13599	205	10	are	be	AUX
aiti-13599	205	11	equivalent	equivalent	ADJ
aiti-13599	205	12	for	for	ADP
aiti-13599	205	13	this	this	DET
aiti-13599	205	14	language	language	NOUN
aiti-13599	205	15	.	.	PUNCT
aiti-13599	206	1	the	the	DET
aiti-13599	206	2	final	final	ADJ
aiti-13599	206	3	finite	finite	NOUN
aiti-13599	206	4	automaton	automaton	NOUN
aiti-13599	206	5	represents	represent	VERB
aiti-13599	206	6	the	the	DET
aiti-13599	206	7	synchronized	synchronize	VERB
aiti-13599	206	8	behavior	behavior	NOUN
aiti-13599	206	9	of	of	ADP
aiti-13599	206	10	both	both	DET
aiti-13599	206	11	conditions	condition	NOUN
aiti-13599	206	12	,	,	PUNCT
aiti-13599	206	13	ensuring	ensure	VERB
aiti-13599	206	14	compliance	compliance	NOUN
aiti-13599	206	15	with	with	ADP
aiti-13599	206	16	the	the	DET
aiti-13599	206	17	language	language	NOUN
aiti-13599	206	18	pattern	pattern	NOUN
aiti-13599	206	19	.	.	PUNCT
aiti-13599	207	1	here	here	ADV
aiti-13599	207	2	the	the	DET
aiti-13599	207	3	final	final	ADJ
aiti-13599	207	4	state	state	NOUN
aiti-13599	207	5	is	be	AUX
aiti-13599	207	6	q11	q11	NOUN
aiti-13599	207	7	.	.	PUNCT
aiti-13599	208	1	(	(	PUNCT
aiti-13599	208	2	5	5	X
aiti-13599	208	3	)	)	PUNCT
aiti-13599	208	4	validate	validate	VERB
aiti-13599	208	5	finite	finite	ADJ
aiti-13599	208	6	automaton	automaton	NOUN
aiti-13599	208	7	with	with	ADP
aiti-13599	208	8	representative	representative	ADJ
aiti-13599	208	9	strings	string	NOUN
aiti-13599	208	10	:	:	PUNCT
aiti-13599	208	11	test	test	VERB
aiti-13599	208	12	the	the	DET
aiti-13599	208	13	finite	finite	ADJ
aiti-13599	208	14	automaton	automaton	NOUN
aiti-13599	208	15	with	with	ADP
aiti-13599	208	16	both	both	PRON
aiti-13599	208	17	accepted	accept	VERB
aiti-13599	208	18	and	and	CCONJ
aiti-13599	208	19	rejected	reject	VERB
aiti-13599	208	20	representative	representative	ADJ
aiti-13599	208	21	strings	string	NOUN
aiti-13599	208	22	to	to	PART
aiti-13599	208	23	verify	verify	VERB
aiti-13599	208	24	its	its	PRON
aiti-13599	208	25	behavior	behavior	NOUN
aiti-13599	208	26	:	:	PUNCT
aiti-13599	208	27	accepted	accept	VERB
aiti-13599	208	28	strings	string	NOUN
aiti-13599	208	29	:	:	PUNCT
aiti-13599	208	30	{	{	PUNCT
aiti-13599	208	31	“	"	PUNCT
aiti-13599	208	32	aaaabb	aaaabb	PROPN
aiti-13599	208	33	”	"	PUNCT
aiti-13599	208	34	,	,	PUNCT
aiti-13599	208	35	“	"	PUNCT
aiti-13599	208	36	abaaaabbb	abaaaabbb	NOUN
aiti-13599	208	37	”	"	PUNCT
aiti-13599	208	38	,	,	PUNCT
aiti-13599	208	39	“	"	PUNCT
aiti-13599	208	40	aabbaaaab	aabbaaaab	PROPN
aiti-13599	208	41	”	"	PUNCT
aiti-13599	208	42	,	,	PUNCT
aiti-13599	208	43	“	"	PUNCT
aiti-13599	208	44	abbaa	abbaa	NOUN
aiti-13599	208	45	”	"	PUNCT
aiti-13599	208	46	}	}	PUNCT
aiti-13599	208	47	rejected	reject	VERB
aiti-13599	208	48	strings	string	NOUN
aiti-13599	208	49	:	:	PUNCT
aiti-13599	208	50	{	{	PUNCT
aiti-13599	208	51	“	"	PUNCT
aiti-13599	208	52	ab	ab	X
aiti-13599	208	53	”	"	PUNCT
aiti-13599	208	54	,	,	PUNCT
aiti-13599	208	55	“	"	PUNCT
aiti-13599	208	56	aabbb	aabbb	ADJ
aiti-13599	208	57	”	"	PUNCT
aiti-13599	208	58	}	}	PUNCT
aiti-13599	208	59	these	these	DET
aiti-13599	208	60	steps	step	NOUN
aiti-13599	208	61	demonstrate	demonstrate	VERB
aiti-13599	208	62	the	the	DET
aiti-13599	208	63	construction	construction	NOUN
aiti-13599	208	64	and	and	CCONJ
aiti-13599	208	65	validation	validation	NOUN
aiti-13599	208	66	of	of	ADP
aiti-13599	208	67	a	a	DET
aiti-13599	208	68	finite	finite	ADJ
aiti-13599	208	69	automaton	automaton	NOUN
aiti-13599	208	70	using	use	VERB
aiti-13599	208	71	the	the	DET
aiti-13599	208	72	grid	grid	NOUN
aiti-13599	208	73	automata	automata	NOUN
aiti-13599	208	74	method	method	NOUN
aiti-13599	208	75	for	for	ADP
aiti-13599	208	76	the	the	DET
aiti-13599	208	77	language	language	NOUN
aiti-13599	208	78	where	where	SCONJ
aiti-13599	208	79	the	the	DET
aiti-13599	208	80	number	number	NOUN
aiti-13599	208	81	of	of	ADP
aiti-13599	208	82	‘	'	PUNCT
aiti-13599	208	83	a	a	DET
aiti-13599	208	84	’s	’s	NOUN
aiti-13599	208	85	is	be	AUX
aiti-13599	208	86	atleast	atleast	VERB
aiti-13599	208	87	3	3	NUM
aiti-13599	208	88	and	and	CCONJ
aiti-13599	208	89	the	the	DET
aiti-13599	208	90	number	number	NOUN
aiti-13599	208	91	of	of	ADP
aiti-13599	208	92	‘	'	PUNCT
aiti-13599	208	93	b	b	X
aiti-13599	208	94	’s	’s	NOUN
aiti-13599	208	95	is	be	AUX
aiti-13599	208	96	atleast	atleast	ADJ
aiti-13599	208	97	2	2	NUM
aiti-13599	208	98	.	.	NOUN
aiti-13599	208	99	end	end	NOUN
aiti-13599	208	100	of	of	ADP
aiti-13599	208	101	example	example	NOUN
aiti-13599	208	102	2	2	NUM
aiti-13599	208	103	fig	fig	NOUN
aiti-13599	208	104	.	.	PUNCT
aiti-13599	209	1	9	9	NUM
aiti-13599	209	2	initial	initial	ADJ
aiti-13599	209	3	automaton	automaton	NOUN
aiti-13599	209	4	for	for	ADP
aiti-13599	209	5	at	at	ADV
aiti-13599	209	6	least	least	ADV
aiti-13599	209	7	3	3	NUM
aiti-13599	209	8	‘	'	PUNCT
aiti-13599	209	9	a	a	DET
aiti-13599	209	10	’	'	PUNCT
aiti-13599	209	11	fig	fig	NOUN
aiti-13599	209	12	.	.	PUNCT
aiti-13599	210	1	10	10	NUM
aiti-13599	210	2	final	final	ADJ
aiti-13599	210	3	balanced	balanced	ADJ
aiti-13599	210	4	automaton	automaton	NOUN
aiti-13599	210	5	for	for	ADP
aiti-13599	210	6	at	at	ADV
aiti-13599	210	7	least	least	ADV
aiti-13599	210	8	3	3	NUM
aiti-13599	210	9	‘	'	PUNCT
aiti-13599	210	10	a	a	PRON
aiti-13599	210	11	’	'	PUNCT
aiti-13599	210	12	and	and	CCONJ
aiti-13599	210	13	at	at	ADV
aiti-13599	210	14	least	least	ADJ
aiti-13599	210	15	2	2	NUM
aiti-13599	210	16	‘	'	PUNCT
aiti-13599	210	17	b	b	X
aiti-13599	210	18	’	'	PUNCT
aiti-13599	210	19	example	example	NOUN
aiti-13599	210	20	3	3	NUM
aiti-13599	210	21	:	:	PUNCT
aiti-13599	210	22	design	design	NOUN
aiti-13599	210	23	dfa	dfa	NOUN
aiti-13599	210	24	for	for	ADP
aiti-13599	210	25	the	the	DET
aiti-13599	210	26	language	language	NOUN
aiti-13599	210	27	l	l	NOUN
aiti-13599	210	28	over	over	ADP
aiti-13599	210	29	the	the	DET
aiti-13599	210	30	alphabet	alphabet	NOUN
aiti-13599	210	31	{	{	PUNCT
aiti-13599	210	32	a	a	PROPN
aiti-13599	210	33	,	,	PUNCT
aiti-13599	210	34	b	b	NOUN
aiti-13599	210	35	}	}	PUNCT
aiti-13599	210	36	,	,	PUNCT
aiti-13599	210	37	defined	define	VERB
aiti-13599	210	38	as	as	ADP
aiti-13599	210	39	:	:	PUNCT
aiti-13599	210	40	l	l	NOUN
aiti-13599	210	41	=	=	PUNCT
aiti-13599	210	42	{	{	PUNCT
aiti-13599	210	43	w	w	PROPN
aiti-13599	210	44	∈	∈	PROPN
aiti-13599	210	45	{	{	PUNCT
aiti-13599	210	46	a	a	PROPN
aiti-13599	210	47	,	,	PUNCT
aiti-13599	210	48	b	b	NOUN
aiti-13599	210	49	}	}	PUNCT
aiti-13599	210	50	∗	∗	NOUN
aiti-13599	210	51	∣na(w	∣na(w	NOUN
aiti-13599	210	52	)	)	PUNCT
aiti-13599	210	53	≤	≤	NOUN
aiti-13599	210	54	3	3	NUM
aiti-13599	210	55	and	and	CCONJ
aiti-13599	210	56	nb(w	nb(w	NOUN
aiti-13599	210	57	)	)	PUNCT
aiti-13599	210	58	≤	≤	NUM
aiti-13599	210	59	2	2	NUM
aiti-13599	210	60	}	}	PUNCT
aiti-13599	210	61	the	the	DET
aiti-13599	210	62	language	language	NOUN
aiti-13599	210	63	l	l	NOUN
aiti-13599	210	64	consists	consist	VERB
aiti-13599	210	65	of	of	ADP
aiti-13599	210	66	all	all	DET
aiti-13599	210	67	strings	string	NOUN
aiti-13599	210	68	over	over	ADP
aiti-13599	210	69	the	the	DET
aiti-13599	210	70	alphabet	alphabet	NOUN
aiti-13599	210	71	{	{	PUNCT
aiti-13599	210	72	a	a	PROPN
aiti-13599	210	73	,	,	PUNCT
aiti-13599	210	74	b	b	NOUN
aiti-13599	210	75	}	}	PUNCT
aiti-13599	210	76	where	where	SCONJ
aiti-13599	210	77	strings	string	NOUN
aiti-13599	210	78	consist	consist	VERB
aiti-13599	210	79	of	of	ADP
aiti-13599	210	80	‘	'	PUNCT
aiti-13599	210	81	a	a	DET
aiti-13599	210	82	’s	’s	ADJ
aiti-13599	210	83	and	and	CCONJ
aiti-13599	210	84	‘	'	PUNCT
aiti-13599	210	85	b	b	X
aiti-13599	210	86	’s	’s	X
aiti-13599	210	87	,	,	PUNCT
aiti-13599	210	88	with	with	ADP
aiti-13599	210	89	the	the	DET
aiti-13599	210	90	condition	condition	NOUN
aiti-13599	210	91	that	that	SCONJ
aiti-13599	210	92	the	the	DET
aiti-13599	210	93	number	number	NOUN
aiti-13599	210	94	of	of	ADP
aiti-13599	210	95	‘	'	PUNCT
aiti-13599	210	96	a	a	DET
aiti-13599	210	97	’s	’s	NOUN
aiti-13599	210	98	does	do	AUX
aiti-13599	210	99	not	not	PART
aiti-13599	210	100	exceed	exceed	VERB
aiti-13599	210	101	3	3	NUM
aiti-13599	210	102	and	and	CCONJ
aiti-13599	210	103	the	the	DET
aiti-13599	210	104	number	number	NOUN
aiti-13599	210	105	of	of	ADP
aiti-13599	210	106	‘	'	PUNCT
aiti-13599	210	107	b	b	X
aiti-13599	210	108	’s	’s	X
aiti-13599	210	109	does	do	AUX
aiti-13599	210	110	not	not	PART
aiti-13599	210	111	exceed	exceed	VERB
aiti-13599	210	112	2	2	NUM
aiti-13599	210	113	.	.	PUNCT
aiti-13599	211	1	(	(	PUNCT
aiti-13599	211	2	1	1	X
aiti-13599	211	3	)	)	PUNCT
aiti-13599	211	4	initialize	initialize	VERB
aiti-13599	211	5	input	input	NOUN
aiti-13599	211	6	alphabets	alphabet	NOUN
aiti-13599	211	7	:	:	PUNCT
aiti-13599	211	8	σ	σ	X
aiti-13599	211	9	=	=	PUNCT
aiti-13599	211	10	{	{	PUNCT
aiti-13599	211	11	a	a	PRON
aiti-13599	211	12	,	,	PUNCT
aiti-13599	211	13	b	b	NOUN
aiti-13599	211	14	}	}	PUNCT
aiti-13599	211	15	(	(	PUNCT
aiti-13599	211	16	2	2	X
aiti-13599	211	17	)	)	PUNCT
aiti-13599	211	18	define	define	VERB
aiti-13599	211	19	matrix	matrix	NOUN
aiti-13599	211	20	structure	structure	NOUN
aiti-13599	211	21	:	:	PUNCT
aiti-13599	211	22	calculate	calculate	VERB
aiti-13599	211	23	total	total	ADJ
aiti-13599	211	24	nos	no	NOUN
aiti-13599	211	25	of	of	ADP
aiti-13599	211	26	states	state	NOUN
aiti-13599	211	27	using	use	VERB
aiti-13599	211	28	the	the	DET
aiti-13599	211	29	formula	formula	NOUN
aiti-13599	211	30	:	:	PUNCT
aiti-13599	211	31	(	(	PUNCT
aiti-13599	211	32	n	n	X
aiti-13599	211	33	+	+	CCONJ
aiti-13599	211	34	1	1	NUM
aiti-13599	211	35	)	)	PUNCT
aiti-13599	211	36	×	×	NOUN
aiti-13599	211	37	(	(	PUNCT
aiti-13599	211	38	m	m	VERB
aiti-13599	211	39	+	+	ADJ
aiti-13599	211	40	1	1	NUM
aiti-13599	211	41	)	)	PUNCT
aiti-13599	211	42	=	=	NOUN
aiti-13599	212	1	(	(	PUNCT
aiti-13599	212	2	3	3	NUM
aiti-13599	212	3	+	+	SYM
aiti-13599	212	4	1	1	NUM
aiti-13599	212	5	)	)	PUNCT
aiti-13599	212	6	×	×	NOUN
aiti-13599	212	7	(	(	PUNCT
aiti-13599	212	8	2	2	NUM
aiti-13599	212	9	+	+	NUM
aiti-13599	212	10	1	1	NUM
aiti-13599	212	11	)	)	PUNCT
aiti-13599	212	12	=	=	SYM
aiti-13599	212	13	4	4	NUM
aiti-13599	212	14	×	×	NOUN
aiti-13599	212	15	3	3	NUM
aiti-13599	212	16	=	=	SYM
aiti-13599	212	17	12	12	NUM
aiti-13599	212	18	.	.	PUNCT
aiti-13599	213	1	hence	hence	ADV
aiti-13599	213	2	,	,	PUNCT
aiti-13599	213	3	a	a	DET
aiti-13599	213	4	4	4	NUM
aiti-13599	213	5	×	×	NOUN
aiti-13599	213	6	3	3	NUM
aiti-13599	213	7	matrix	matrix	NOUN
aiti-13599	213	8	can	can	AUX
aiti-13599	213	9	be	be	AUX
aiti-13599	213	10	created	create	VERB
aiti-13599	213	11	to	to	PART
aiti-13599	213	12	represent	represent	VERB
aiti-13599	213	13	the	the	DET
aiti-13599	213	14	states	state	NOUN
aiti-13599	213	15	.	.	PUNCT
aiti-13599	214	1	(	(	PUNCT
aiti-13599	214	2	3	3	X
aiti-13599	214	3	)	)	PUNCT
aiti-13599	214	4	construct	construct	VERB
aiti-13599	214	5	finite	finite	ADJ
aiti-13599	214	6	automaton	automaton	NOUN
aiti-13599	214	7	for	for	ADP
aiti-13599	214	8	one	one	NUM
aiti-13599	214	9	condition	condition	NOUN
aiti-13599	214	10	,	,	PUNCT
aiti-13599	214	11	then	then	ADV
aiti-13599	214	12	balance	balance	VERB
aiti-13599	214	13	with	with	ADP
aiti-13599	214	14	others	other	NOUN
aiti-13599	214	15	:	:	PUNCT
aiti-13599	214	16	construct	construct	VERB
aiti-13599	214	17	finite	finite	ADJ
aiti-13599	214	18	automaton	automaton	NOUN
aiti-13599	214	19	by	by	ADP
aiti-13599	214	20	adding	add	VERB
aiti-13599	214	21	transitions	transition	NOUN
aiti-13599	214	22	for	for	ADP
aiti-13599	214	23	‘	'	PUNCT
aiti-13599	214	24	a	a	PRON
aiti-13599	214	25	’	'	PUNCT
aiti-13599	214	26	to	to	PART
aiti-13599	214	27	ensure	ensure	VERB
aiti-13599	214	28	at	at	ADP
aiti-13599	214	29	most	most	ADJ
aiti-13599	214	30	3	3	NUM
aiti-13599	214	31	‘	'	PUNCT
aiti-13599	214	32	a	a	DET
aiti-13599	214	33	’	'	PUNCT
aiti-13599	214	34	.	.	PUNCT
aiti-13599	215	1	refer	refer	VERB
aiti-13599	215	2	to	to	ADP
aiti-13599	215	3	the	the	DET
aiti-13599	215	4	following	follow	VERB
aiti-13599	215	5	fig	fig	NOUN
aiti-13599	215	6	.	.	PUNCT
aiti-13599	216	1	11	11	NUM
aiti-13599	216	2	for	for	ADP
aiti-13599	216	3	the	the	DET
aiti-13599	216	4	transitions	transition	NOUN
aiti-13599	216	5	involving	involve	VERB
aiti-13599	216	6	‘	'	PUNCT
aiti-13599	216	7	a	a	PRON
aiti-13599	216	8	’	'	PUNCT
aiti-13599	216	9	.	.	PUNCT
aiti-13599	217	1	balance	balance	VERB
aiti-13599	217	2	the	the	DET
aiti-13599	217	3	finite	finite	ADJ
aiti-13599	217	4	automaton	automaton	NOUN
aiti-13599	217	5	with	with	ADP
aiti-13599	217	6	transitions	transition	NOUN
aiti-13599	217	7	for	for	ADP
aiti-13599	217	8	‘	'	PUNCT
aiti-13599	217	9	b	b	NOUN
aiti-13599	217	10	’	'	PUNCT
aiti-13599	217	11	to	to	PART
aiti-13599	217	12	ensure	ensure	VERB
aiti-13599	217	13	atmost	atmost	PROPN
aiti-13599	217	14	2	2	NUM
aiti-13599	217	15	‘	'	PUNCT
aiti-13599	217	16	b	b	NOUN
aiti-13599	217	17	’	'	PUNCT
aiti-13599	217	18	.	.	PUNCT
aiti-13599	218	1	ensure	ensure	VERB
aiti-13599	218	2	that	that	SCONJ
aiti-13599	218	3	the	the	DET
aiti-13599	218	4	final	final	ADJ
aiti-13599	218	5	automaton	automaton	NOUN
aiti-13599	218	6	,	,	PUNCT
aiti-13599	218	7	balanced	balance	VERB
aiti-13599	218	8	with	with	ADP
aiti-13599	218	9	‘	'	PUNCT
aiti-13599	218	10	b	b	X
aiti-13599	218	11	’	'	PUNCT
aiti-13599	218	12	,	,	PUNCT
aiti-13599	218	13	accepts	accept	VERB
aiti-13599	218	14	strings	string	NOUN
aiti-13599	218	15	meeting	meet	VERB
aiti-13599	218	16	both	both	DET
aiti-13599	218	17	conditions	condition	NOUN
aiti-13599	218	18	.	.	PUNCT
aiti-13599	219	1	refer	refer	VERB
aiti-13599	219	2	to	to	ADP
aiti-13599	219	3	the	the	DET
aiti-13599	219	4	following	follow	VERB
aiti-13599	219	5	fig	fig	NOUN
aiti-13599	219	6	.	.	PUNCT
aiti-13599	220	1	12	12	NUM
aiti-13599	220	2	for	for	ADP
aiti-13599	220	3	the	the	DET
aiti-13599	220	4	final	final	ADJ
aiti-13599	220	5	balanced	balanced	ADJ
aiti-13599	220	6	automaton	automaton	NOUN
aiti-13599	220	7	.	.	PUNCT
aiti-13599	221	1	(	(	PUNCT
aiti-13599	221	2	4	4	X
aiti-13599	221	3	)	)	PUNCT
aiti-13599	221	4	set	set	VERB
aiti-13599	221	5	the	the	DET
aiti-13599	221	6	first	first	ADJ
aiti-13599	221	7	state	state	NOUN
aiti-13599	221	8	as	as	ADP
aiti-13599	221	9	initial	initial	ADJ
aiti-13599	221	10	and	and	CCONJ
aiti-13599	221	11	determine	determine	VERB
aiti-13599	221	12	the	the	DET
aiti-13599	221	13	final	final	ADJ
aiti-13599	221	14	state	state	NOUN
aiti-13599	221	15	according	accord	VERB
aiti-13599	221	16	to	to	ADP
aiti-13599	221	17	the	the	DET
aiti-13599	221	18	conditions	condition	NOUN
aiti-13599	221	19	.	.	PUNCT
aiti-13599	222	1	add	add	VERB
aiti-13599	222	2	a	a	DET
aiti-13599	222	3	trap	trap	NOUN
aiti-13599	222	4	state	state	NOUN
aiti-13599	222	5	if	if	SCONJ
aiti-13599	222	6	needed	need	VERB
aiti-13599	222	7	to	to	PART
aiti-13599	222	8	handle	handle	VERB
aiti-13599	222	9	undefined	undefined	ADJ
aiti-13599	222	10	or	or	CCONJ
aiti-13599	222	11	unexpected	unexpected	ADJ
aiti-13599	222	12	inputs	input	NOUN
aiti-13599	222	13	.	.	PUNCT
aiti-13599	223	1	initial	initial	ADJ
aiti-13599	223	2	state	state	NOUN
aiti-13599	223	3	=	=	NOUN
aiti-13599	223	4	q0	q0	PROPN
aiti-13599	223	5	.	.	PUNCT
aiti-13599	224	1	trap	trap	NOUN
aiti-13599	224	2	state	state	NOUN
aiti-13599	224	3	=	=	PROPN
aiti-13599	224	4	q12	q12	NOUN
aiti-13599	224	5	.	.	PUNCT
aiti-13599	225	1	no	no	DET
aiti-13599	225	2	trap	trap	NOUN
aiti-13599	225	3	state	state	NOUN
aiti-13599	225	4	is	be	AUX
aiti-13599	225	5	needed	need	VERB
aiti-13599	225	6	as	as	SCONJ
aiti-13599	225	7	both	both	DET
aiti-13599	225	8	dfa	dfa	PROPN
aiti-13599	225	9	and	and	CCONJ
aiti-13599	225	10	nfa	nfa	PROPN
aiti-13599	225	11	are	be	AUX
aiti-13599	225	12	equivalent	equivalent	ADJ
aiti-13599	225	13	for	for	ADP
aiti-13599	225	14	this	this	DET
aiti-13599	225	15	language	language	NOUN
aiti-13599	225	16	.	.	PUNCT
aiti-13599	226	1	the	the	DET
aiti-13599	226	2	final	final	ADJ
aiti-13599	226	3	finite	finite	NOUN
aiti-13599	226	4	automaton	automaton	NOUN
aiti-13599	226	5	represents	represent	VERB
aiti-13599	226	6	the	the	DET
aiti-13599	226	7	synchronized	synchronize	VERB
aiti-13599	226	8	behavior	behavior	NOUN
aiti-13599	226	9	of	of	ADP
aiti-13599	226	10	both	both	DET
aiti-13599	226	11	conditions	condition	NOUN
aiti-13599	226	12	,	,	PUNCT
aiti-13599	226	13	ensuring	ensure	VERB
aiti-13599	226	14	compliance	compliance	NOUN
aiti-13599	226	15	with	with	ADP
aiti-13599	226	16	the	the	DET
aiti-13599	226	17	language	language	NOUN
aiti-13599	226	18	pattern	pattern	NOUN
aiti-13599	226	19	.	.	PUNCT
aiti-13599	227	1	here	here	ADV
aiti-13599	227	2	the	the	DET
aiti-13599	227	3	final	final	ADJ
aiti-13599	227	4	states	state	NOUN
aiti-13599	227	5	are	be	AUX
aiti-13599	227	6	{	{	PUNCT
aiti-13599	227	7	q0	q0	PROPN
aiti-13599	227	8	,	,	PUNCT
aiti-13599	227	9	q1	q1	PROPN
aiti-13599	227	10	,	,	PUNCT
aiti-13599	227	11	q2	q2	NOUN
aiti-13599	227	12	,	,	PUNCT
aiti-13599	227	13	q3	q3	PROPN
aiti-13599	227	14	,	,	PUNCT
aiti-13599	227	15	q4	q4	PROPN
aiti-13599	227	16	,	,	PUNCT
aiti-13599	227	17	q5	q5	PROPN
aiti-13599	227	18	,	,	PUNCT
aiti-13599	227	19	q6	q6	PROPN
aiti-13599	227	20	,	,	PUNCT
aiti-13599	227	21	q7	q7	PROPN
aiti-13599	227	22	,	,	PUNCT
aiti-13599	227	23	q8	q8	PROPN
aiti-13599	227	24	,	,	PUNCT
aiti-13599	227	25	q9	q9	PROPN
aiti-13599	227	26	,	,	PUNCT
aiti-13599	227	27	q10	q10	PROPN
aiti-13599	227	28	,	,	PUNCT
aiti-13599	227	29	q11	q11	NOUN
aiti-13599	227	30	}	}	PUNCT
aiti-13599	227	31	.	.	PUNCT
aiti-13599	228	1	(	(	PUNCT
aiti-13599	228	2	5	5	X
aiti-13599	228	3	)	)	PUNCT
aiti-13599	228	4	validate	validate	VERB
aiti-13599	228	5	finite	finite	ADJ
aiti-13599	228	6	automaton	automaton	NOUN
aiti-13599	228	7	with	with	ADP
aiti-13599	228	8	representative	representative	ADJ
aiti-13599	228	9	strings	string	NOUN
aiti-13599	228	10	:	:	PUNCT
aiti-13599	228	11	test	test	VERB
aiti-13599	228	12	the	the	DET
aiti-13599	228	13	finite	finite	ADJ
aiti-13599	228	14	automaton	automaton	NOUN
aiti-13599	228	15	with	with	ADP
aiti-13599	228	16	both	both	PRON
aiti-13599	228	17	accepted	accept	VERB
aiti-13599	228	18	and	and	CCONJ
aiti-13599	228	19	rejected	reject	VERB
aiti-13599	228	20	representative	representative	ADJ
aiti-13599	228	21	strings	string	NOUN
aiti-13599	228	22	to	to	PART
aiti-13599	228	23	verify	verify	VERB
aiti-13599	228	24	its	its	PRON
aiti-13599	228	25	behavior	behavior	NOUN
aiti-13599	228	26	:	:	PUNCT
aiti-13599	228	27	accepted	accept	VERB
aiti-13599	228	28	strings	string	NOUN
aiti-13599	228	29	:	:	PUNCT
aiti-13599	228	30	{	{	PUNCT
aiti-13599	228	31	“	"	PUNCT
aiti-13599	228	32	ε	ε	PROPN
aiti-13599	228	33	”	"	PUNCT
aiti-13599	228	34	,	,	PUNCT
aiti-13599	228	35	“	"	PUNCT
aiti-13599	228	36	a	a	PRON
aiti-13599	228	37	”	"	PUNCT
aiti-13599	228	38	,	,	PUNCT
aiti-13599	228	39	“	"	PUNCT
aiti-13599	228	40	b	b	X
aiti-13599	228	41	”	"	PUNCT
aiti-13599	228	42	,	,	PUNCT
aiti-13599	228	43	“	"	PUNCT
aiti-13599	228	44	aa	aa	NOUN
aiti-13599	228	45	”	"	PUNCT
aiti-13599	228	46	,	,	PUNCT
aiti-13599	228	47	“	"	PUNCT
aiti-13599	228	48	ab	ab	X
aiti-13599	228	49	”	"	PUNCT
aiti-13599	228	50	,	,	PUNCT
aiti-13599	228	51	“	"	PUNCT
aiti-13599	228	52	ba	ba	NOUN
aiti-13599	228	53	”	"	PUNCT
aiti-13599	228	54	,	,	PUNCT
aiti-13599	228	55	“	"	PUNCT
aiti-13599	228	56	aaa	aaa	NOUN
aiti-13599	228	57	”	"	PUNCT
aiti-13599	228	58	,	,	PUNCT
aiti-13599	228	59	“	"	PUNCT
aiti-13599	228	60	aab	aab	PROPN
aiti-13599	228	61	”	"	PUNCT
aiti-13599	228	62	,	,	PUNCT
aiti-13599	228	63	“	"	PUNCT
aiti-13599	228	64	aba	aba	PROPN
aiti-13599	228	65	”	"	PUNCT
aiti-13599	228	66	,	,	PUNCT
aiti-13599	228	67	“	"	PUNCT
aiti-13599	228	68	baa	baa	PROPN
aiti-13599	228	69	”	"	PUNCT
aiti-13599	228	70	,	,	PUNCT
aiti-13599	228	71	“	"	PUNCT
aiti-13599	228	72	abb	abb	PROPN
aiti-13599	228	73	”	"	PUNCT
aiti-13599	228	74	,	,	PUNCT
aiti-13599	228	75	“	"	PUNCT
aiti-13599	228	76	bab	bab	PROPN
aiti-13599	228	77	”	"	PUNCT
aiti-13599	228	78	}	}	SYM
aiti-13599	228	79	248	248	NUM
aiti-13599	228	80	advances	advance	NOUN
aiti-13599	228	81	in	in	ADP
aiti-13599	228	82	technology	technology	NOUN
aiti-13599	228	83	innovation	innovation	NOUN
aiti-13599	228	84	,	,	PUNCT
aiti-13599	228	85	vol	vol	NOUN
aiti-13599	228	86	.	.	PROPN
aiti-13599	229	1	9	9	NUM
aiti-13599	229	2	,	,	PUNCT
aiti-13599	229	3	no	no	INTJ
aiti-13599	229	4	.	.	NOUN
aiti-13599	229	5	3	3	NUM
aiti-13599	229	6	,	,	PUNCT
aiti-13599	229	7	2024	2024	NUM
aiti-13599	229	8	,	,	PUNCT
aiti-13599	229	9	pp	pp	ADV
aiti-13599	229	10	.	.	PUNCT
aiti-13599	230	1	239	239	NUM
aiti-13599	230	2	-	-	SYM
aiti-13599	230	3	255	255	NUM
aiti-13599	230	4	rejected	reject	VERB
aiti-13599	230	5	strings	string	NOUN
aiti-13599	230	6	:	:	PUNCT
aiti-13599	230	7	{	{	PUNCT
aiti-13599	230	8	“	"	PUNCT
aiti-13599	230	9	aaaa	aaaa	NOUN
aiti-13599	230	10	”	"	PUNCT
aiti-13599	230	11	,	,	PUNCT
aiti-13599	230	12	“	"	PUNCT
aiti-13599	230	13	aaaaa	aaaaa	NOUN
aiti-13599	230	14	”	"	PUNCT
aiti-13599	230	15	,	,	PUNCT
aiti-13599	230	16	“	"	PUNCT
aiti-13599	230	17	aaaaaa	aaaaaa	NOUN
aiti-13599	230	18	”	"	PUNCT
aiti-13599	230	19	,	,	PUNCT
aiti-13599	230	20	“	"	PUNCT
aiti-13599	230	21	aaaab	aaaab	PROPN
aiti-13599	230	22	”	"	PUNCT
aiti-13599	230	23	,	,	PUNCT
aiti-13599	230	24	“	"	PUNCT
aiti-13599	230	25	aabaa	aabaa	PROPN
aiti-13599	230	26	”	"	PUNCT
aiti-13599	230	27	,	,	PUNCT
aiti-13599	230	28	“	"	PUNCT
aiti-13599	230	29	bbb	bbb	PROPN
aiti-13599	230	30	”	"	PUNCT
aiti-13599	230	31	,	,	PUNCT
aiti-13599	230	32	“	"	PUNCT
aiti-13599	230	33	bbbb	bbbb	PROPN
aiti-13599	230	34	”	"	PUNCT
aiti-13599	230	35	,	,	PUNCT
aiti-13599	230	36	“	"	PUNCT
aiti-13599	230	37	babab	babab	PROPN
aiti-13599	230	38	”	"	PUNCT
aiti-13599	230	39	,	,	PUNCT
aiti-13599	230	40	“	"	PUNCT
aiti-13599	230	41	ababab	ababab	NOUN
aiti-13599	230	42	”	"	PUNCT
aiti-13599	230	43	}	}	PUNCT
aiti-13599	230	44	these	these	DET
aiti-13599	230	45	steps	step	NOUN
aiti-13599	230	46	demonstrate	demonstrate	VERB
aiti-13599	230	47	the	the	DET
aiti-13599	230	48	construction	construction	NOUN
aiti-13599	230	49	and	and	CCONJ
aiti-13599	230	50	validation	validation	NOUN
aiti-13599	230	51	of	of	ADP
aiti-13599	230	52	a	a	DET
aiti-13599	230	53	finite	finite	ADJ
aiti-13599	230	54	automaton	automaton	NOUN
aiti-13599	230	55	using	use	VERB
aiti-13599	230	56	the	the	DET
aiti-13599	230	57	grid	grid	NOUN
aiti-13599	230	58	automata	automata	NOUN
aiti-13599	230	59	method	method	NOUN
aiti-13599	230	60	for	for	ADP
aiti-13599	230	61	the	the	DET
aiti-13599	230	62	language	language	NOUN
aiti-13599	230	63	where	where	SCONJ
aiti-13599	230	64	the	the	DET
aiti-13599	230	65	number	number	NOUN
aiti-13599	230	66	of	of	ADP
aiti-13599	230	67	‘	'	PUNCT
aiti-13599	230	68	a	a	DET
aiti-13599	230	69	’s	’s	NOUN
aiti-13599	230	70	is	be	AUX
aiti-13599	230	71	at	at	ADP
aiti-13599	230	72	most	most	ADV
aiti-13599	230	73	3	3	NUM
aiti-13599	230	74	and	and	CCONJ
aiti-13599	230	75	the	the	DET
aiti-13599	230	76	number	number	NOUN
aiti-13599	230	77	of	of	ADP
aiti-13599	230	78	‘	'	PUNCT
aiti-13599	230	79	b	b	X
aiti-13599	230	80	’s	’s	NOUN
aiti-13599	230	81	is	be	AUX
aiti-13599	230	82	at	at	ADP
aiti-13599	230	83	most	most	ADV
aiti-13599	230	84	2	2	NUM
aiti-13599	230	85	.	.	NOUN
aiti-13599	230	86	end	end	NOUN
aiti-13599	230	87	of	of	ADP
aiti-13599	230	88	example	example	NOUN
aiti-13599	230	89	3	3	NUM
aiti-13599	230	90	fig	fig	NOUN
aiti-13599	230	91	.	.	PUNCT
aiti-13599	231	1	11	11	NUM
aiti-13599	231	2	initial	initial	ADJ
aiti-13599	231	3	automaton	automaton	NOUN
aiti-13599	231	4	for	for	ADP
aiti-13599	231	5	atmost	atmost	PROPN
aiti-13599	231	6	3	3	NUM
aiti-13599	231	7	‘	'	PUNCT
aiti-13599	231	8	a	a	DET
aiti-13599	231	9	’	'	PUNCT
aiti-13599	231	10	fig	fig	NOUN
aiti-13599	231	11	.	.	PUNCT
aiti-13599	232	1	12	12	NUM
aiti-13599	232	2	final	final	ADJ
aiti-13599	232	3	balanced	balanced	ADJ
aiti-13599	232	4	automaton	automaton	NOUN
aiti-13599	232	5	for	for	ADP
aiti-13599	232	6	atmost	atmost	PROPN
aiti-13599	232	7	3	3	NUM
aiti-13599	232	8	‘	'	PUNCT
aiti-13599	232	9	a	a	PRON
aiti-13599	232	10	’	'	PUNCT
aiti-13599	232	11	and	and	CCONJ
aiti-13599	232	12	atmost	atmost	PROPN
aiti-13599	232	13	2	2	NUM
aiti-13599	232	14	’	'	PUNCT
aiti-13599	232	15	b	b	NOUN
aiti-13599	232	16	’	'	PUNCT
aiti-13599	232	17	example	example	NOUN
aiti-13599	232	18	4	4	NUM
aiti-13599	232	19	:	:	PUNCT
aiti-13599	232	20	design	design	NOUN
aiti-13599	232	21	dfa	dfa	NOUN
aiti-13599	232	22	for	for	ADP
aiti-13599	232	23	the	the	DET
aiti-13599	232	24	language	language	NOUN
aiti-13599	232	25	l	l	NOUN
aiti-13599	232	26	over	over	ADP
aiti-13599	232	27	the	the	DET
aiti-13599	232	28	alphabet	alphabet	NOUN
aiti-13599	232	29	{	{	PUNCT
aiti-13599	232	30	a	a	PROPN
aiti-13599	232	31	,	,	PUNCT
aiti-13599	232	32	b	b	NOUN
aiti-13599	232	33	}	}	PUNCT
aiti-13599	232	34	,	,	PUNCT
aiti-13599	232	35	defined	define	VERB
aiti-13599	232	36	as	as	ADP
aiti-13599	232	37	:	:	PUNCT
aiti-13599	232	38	l	l	NOUN
aiti-13599	232	39	=	=	PUNCT
aiti-13599	232	40	{	{	PUNCT
aiti-13599	232	41	w	w	PROPN
aiti-13599	232	42	∈	∈	PROPN
aiti-13599	232	43	{	{	PUNCT
aiti-13599	232	44	a	a	PROPN
aiti-13599	232	45	,	,	PUNCT
aiti-13599	232	46	b	b	NOUN
aiti-13599	232	47	}	}	PUNCT
aiti-13599	232	48	∗	∗	NOUN
aiti-13599	232	49	∣	∣	NUM
aiti-13599	232	50	na(w	na(w	NOUN
aiti-13599	232	51	)	)	PUNCT
aiti-13599	232	52	=	=	SYM
aiti-13599	232	53	3	3	NUM
aiti-13599	232	54	and	and	CCONJ
aiti-13599	232	55	nb(w	nb(w	NOUN
aiti-13599	232	56	)	)	PUNCT
aiti-13599	232	57	=	=	SYM
aiti-13599	232	58	2	2	X
aiti-13599	232	59	}	}	PUNCT
aiti-13599	232	60	the	the	DET
aiti-13599	232	61	language	language	NOUN
aiti-13599	232	62	l	l	NOUN
aiti-13599	232	63	consists	consist	VERB
aiti-13599	232	64	of	of	ADP
aiti-13599	232	65	all	all	DET
aiti-13599	232	66	strings	string	NOUN
aiti-13599	232	67	over	over	ADP
aiti-13599	232	68	the	the	DET
aiti-13599	232	69	alphabet	alphabet	NOUN
aiti-13599	232	70	{	{	PUNCT
aiti-13599	232	71	a	a	PROPN
aiti-13599	232	72	,	,	PUNCT
aiti-13599	232	73	b	b	NOUN
aiti-13599	232	74	}	}	PUNCT
aiti-13599	232	75	where	where	SCONJ
aiti-13599	232	76	strings	string	NOUN
aiti-13599	232	77	contain	contain	VERB
aiti-13599	232	78	exactly	exactly	ADV
aiti-13599	232	79	3	3	NUM
aiti-13599	232	80	'	'	NOUN
aiti-13599	232	81	a	a	DET
aiti-13599	232	82	's	's	NOUN
aiti-13599	232	83	and	and	CCONJ
aiti-13599	232	84	2	2	NUM
aiti-13599	232	85	'	'	NOUN
aiti-13599	232	86	b	b	NOUN
aiti-13599	232	87	's	's	PART
aiti-13599	232	88	.	.	PUNCT
aiti-13599	233	1	(	(	PUNCT
aiti-13599	233	2	1	1	X
aiti-13599	233	3	)	)	PUNCT
aiti-13599	233	4	initialize	initialize	VERB
aiti-13599	233	5	input	input	NOUN
aiti-13599	233	6	alphabets	alphabet	NOUN
aiti-13599	233	7	:	:	PUNCT
aiti-13599	233	8	σ	σ	X
aiti-13599	233	9	=	=	PUNCT
aiti-13599	233	10	{	{	PUNCT
aiti-13599	233	11	a	a	PRON
aiti-13599	233	12	,	,	PUNCT
aiti-13599	233	13	b	b	NOUN
aiti-13599	233	14	}	}	PUNCT
aiti-13599	233	15	(	(	PUNCT
aiti-13599	233	16	2	2	X
aiti-13599	233	17	)	)	PUNCT
aiti-13599	233	18	define	define	VERB
aiti-13599	233	19	the	the	DET
aiti-13599	233	20	matrix	matrix	NOUN
aiti-13599	233	21	structure	structure	NOUN
aiti-13599	233	22	:	:	PUNCT
aiti-13599	233	23	total	total	ADJ
aiti-13599	233	24	number	number	NOUN
aiti-13599	233	25	of	of	ADP
aiti-13599	233	26	states	state	NOUN
aiti-13599	233	27	using	use	VERB
aiti-13599	233	28	the	the	DET
aiti-13599	233	29	formula	formula	NOUN
aiti-13599	233	30	:	:	PUNCT
aiti-13599	233	31	(	(	PUNCT
aiti-13599	233	32	n	n	X
aiti-13599	233	33	+	+	CCONJ
aiti-13599	233	34	1	1	NUM
aiti-13599	233	35	)	)	PUNCT
aiti-13599	233	36	×	×	NOUN
aiti-13599	233	37	(	(	PUNCT
aiti-13599	233	38	m	m	VERB
aiti-13599	233	39	+	+	ADJ
aiti-13599	233	40	1	1	NUM
aiti-13599	233	41	)	)	PUNCT
aiti-13599	233	42	=	=	NOUN
aiti-13599	233	43	(	(	PUNCT
aiti-13599	233	44	3	3	NUM
aiti-13599	233	45	+	+	SYM
aiti-13599	233	46	1	1	NUM
aiti-13599	233	47	)	)	PUNCT
aiti-13599	233	48	×	×	NOUN
aiti-13599	233	49	(	(	PUNCT
aiti-13599	233	50	2	2	NUM
aiti-13599	233	51	+	+	NUM
aiti-13599	233	52	1	1	NUM
aiti-13599	233	53	)	)	PUNCT
aiti-13599	233	54	=	=	SYM
aiti-13599	233	55	4	4	NUM
aiti-13599	233	56	×	×	NOUN
aiti-13599	233	57	3	3	NUM
aiti-13599	233	58	=	=	SYM
aiti-13599	233	59	12	12	NUM
aiti-13599	233	60	.	.	PUNCT
aiti-13599	234	1	(	(	PUNCT
aiti-13599	234	2	3	3	X
aiti-13599	234	3	)	)	PUNCT
aiti-13599	234	4	construct	construct	VERB
aiti-13599	234	5	finite	finite	ADJ
aiti-13599	234	6	automaton	automaton	NOUN
aiti-13599	234	7	for	for	ADP
aiti-13599	234	8	one	one	NUM
aiti-13599	234	9	condition	condition	NOUN
aiti-13599	234	10	,	,	PUNCT
aiti-13599	234	11	then	then	ADV
aiti-13599	234	12	balance	balance	VERB
aiti-13599	234	13	with	with	ADP
aiti-13599	234	14	others	other	NOUN
aiti-13599	234	15	:	:	PUNCT
aiti-13599	234	16	construct	construct	VERB
aiti-13599	234	17	finite	finite	ADJ
aiti-13599	234	18	automaton	automaton	NOUN
aiti-13599	234	19	by	by	ADP
aiti-13599	234	20	adding	add	VERB
aiti-13599	234	21	transitions	transition	NOUN
aiti-13599	234	22	for	for	ADP
aiti-13599	234	23	‘	'	PUNCT
aiti-13599	234	24	a	a	PRON
aiti-13599	234	25	’	'	PUNCT
aiti-13599	234	26	to	to	PART
aiti-13599	234	27	ensure	ensure	VERB
aiti-13599	234	28	exactly	exactly	ADV
aiti-13599	234	29	3	3	NUM
aiti-13599	234	30	‘	'	PUNCT
aiti-13599	234	31	a	a	PRON
aiti-13599	234	32	’	'	PUNCT
aiti-13599	234	33	.	.	PUNCT
aiti-13599	235	1	refer	refer	VERB
aiti-13599	235	2	to	to	ADP
aiti-13599	235	3	the	the	DET
aiti-13599	235	4	following	follow	VERB
aiti-13599	235	5	fig	fig	NOUN
aiti-13599	235	6	.	.	PUNCT
aiti-13599	236	1	13	13	NUM
aiti-13599	237	1	for	for	ADP
aiti-13599	237	2	the	the	DET
aiti-13599	237	3	transitions	transition	NOUN
aiti-13599	237	4	involving	involve	VERB
aiti-13599	237	5	‘	'	PUNCT
aiti-13599	237	6	a	a	PRON
aiti-13599	237	7	’	'	PUNCT
aiti-13599	237	8	.	.	PUNCT
aiti-13599	238	1	balance	balance	VERB
aiti-13599	238	2	the	the	DET
aiti-13599	238	3	finite	finite	ADJ
aiti-13599	238	4	automaton	automaton	NOUN
aiti-13599	238	5	with	with	ADP
aiti-13599	238	6	transitions	transition	NOUN
aiti-13599	238	7	for	for	ADP
aiti-13599	238	8	‘	'	PUNCT
aiti-13599	238	9	b	b	NOUN
aiti-13599	238	10	’	'	PUNCT
aiti-13599	238	11	to	to	PART
aiti-13599	238	12	ensure	ensure	VERB
aiti-13599	238	13	exactly	exactly	ADV
aiti-13599	238	14	2	2	NUM
aiti-13599	238	15	‘	'	PUNCT
aiti-13599	238	16	b	b	NOUN
aiti-13599	238	17	’	'	PUNCT
aiti-13599	238	18	.	.	PUNCT
aiti-13599	239	1	ensure	ensure	VERB
aiti-13599	239	2	that	that	SCONJ
aiti-13599	239	3	the	the	DET
aiti-13599	239	4	final	final	ADJ
aiti-13599	239	5	automaton	automaton	NOUN
aiti-13599	239	6	,	,	PUNCT
aiti-13599	239	7	balanced	balance	VERB
aiti-13599	239	8	with	with	ADP
aiti-13599	239	9	‘	'	PUNCT
aiti-13599	239	10	b	b	X
aiti-13599	239	11	’	'	PUNCT
aiti-13599	239	12	,	,	PUNCT
aiti-13599	239	13	accepts	accept	VERB
aiti-13599	239	14	strings	string	NOUN
aiti-13599	239	15	meeting	meet	VERB
aiti-13599	239	16	both	both	DET
aiti-13599	239	17	conditions	condition	NOUN
aiti-13599	239	18	.	.	PUNCT
aiti-13599	240	1	refer	refer	VERB
aiti-13599	240	2	to	to	ADP
aiti-13599	240	3	the	the	DET
aiti-13599	240	4	following	follow	VERB
aiti-13599	240	5	fig	fig	NOUN
aiti-13599	240	6	.	.	PUNCT
aiti-13599	241	1	14	14	NUM
aiti-13599	241	2	for	for	ADP
aiti-13599	241	3	the	the	DET
aiti-13599	241	4	final	final	ADJ
aiti-13599	241	5	balanced	balanced	ADJ
aiti-13599	241	6	automaton	automaton	NOUN
aiti-13599	241	7	.	.	PUNCT
aiti-13599	242	1	(	(	PUNCT
aiti-13599	242	2	4	4	X
aiti-13599	242	3	)	)	PUNCT
aiti-13599	242	4	set	set	VERB
aiti-13599	242	5	the	the	DET
aiti-13599	242	6	first	first	ADJ
aiti-13599	242	7	state	state	NOUN
aiti-13599	242	8	as	as	ADP
aiti-13599	242	9	initial	initial	ADJ
aiti-13599	242	10	and	and	CCONJ
aiti-13599	242	11	determine	determine	VERB
aiti-13599	242	12	the	the	DET
aiti-13599	242	13	final	final	ADJ
aiti-13599	242	14	state	state	NOUN
aiti-13599	242	15	according	accord	VERB
aiti-13599	242	16	to	to	ADP
aiti-13599	242	17	the	the	DET
aiti-13599	242	18	conditions	condition	NOUN
aiti-13599	242	19	.	.	PUNCT
aiti-13599	243	1	add	add	VERB
aiti-13599	243	2	a	a	DET
aiti-13599	243	3	trap	trap	NOUN
aiti-13599	243	4	state	state	NOUN
aiti-13599	243	5	if	if	SCONJ
aiti-13599	243	6	needed	need	VERB
aiti-13599	243	7	to	to	PART
aiti-13599	243	8	handle	handle	VERB
aiti-13599	243	9	undefined	undefined	ADJ
aiti-13599	243	10	or	or	CCONJ
aiti-13599	243	11	unexpected	unexpected	ADJ
aiti-13599	243	12	inputs	input	NOUN
aiti-13599	243	13	.	.	PUNCT
aiti-13599	244	1	initial	initial	ADJ
aiti-13599	244	2	state	state	NOUN
aiti-13599	244	3	=	=	NOUN
aiti-13599	244	4	q0	q0	PROPN
aiti-13599	244	5	.	.	PUNCT
aiti-13599	245	1	trap	trap	NOUN
aiti-13599	245	2	state	state	NOUN
aiti-13599	245	3	=	=	PROPN
aiti-13599	245	4	q12	q12	NOUN
aiti-13599	245	5	.	.	PUNCT
aiti-13599	246	1	no	no	DET
aiti-13599	246	2	trap	trap	NOUN
aiti-13599	246	3	state	state	NOUN
aiti-13599	246	4	is	be	AUX
aiti-13599	246	5	needed	need	VERB
aiti-13599	246	6	as	as	SCONJ
aiti-13599	246	7	dfa	dfa	PROPN
aiti-13599	246	8	and	and	CCONJ
aiti-13599	246	9	nfa	nfa	PROPN
aiti-13599	246	10	are	be	AUX
aiti-13599	246	11	equivalent	equivalent	ADJ
aiti-13599	246	12	for	for	ADP
aiti-13599	246	13	this	this	DET
aiti-13599	246	14	language	language	NOUN
aiti-13599	246	15	.	.	PUNCT
aiti-13599	247	1	advances	advance	NOUN
aiti-13599	247	2	in	in	ADP
aiti-13599	247	3	technology	technology	NOUN
aiti-13599	247	4	innovation	innovation	NOUN
aiti-13599	247	5	,	,	PUNCT
aiti-13599	247	6	vol	vol	NOUN
aiti-13599	247	7	.	.	PROPN
aiti-13599	248	1	9	9	NUM
aiti-13599	248	2	,	,	PUNCT
aiti-13599	248	3	no	no	INTJ
aiti-13599	248	4	.	.	NOUN
aiti-13599	248	5	3	3	NUM
aiti-13599	248	6	,	,	PUNCT
aiti-13599	248	7	2024	2024	NUM
aiti-13599	248	8	,	,	PUNCT
aiti-13599	248	9	pp	pp	ADV
aiti-13599	248	10	.	.	PUNCT
aiti-13599	249	1	239	239	NUM
aiti-13599	249	2	-	-	SYM
aiti-13599	249	3	255	255	NUM
aiti-13599	249	4	249	249	NUM
aiti-13599	249	5	the	the	DET
aiti-13599	249	6	final	final	ADJ
aiti-13599	249	7	finite	finite	NOUN
aiti-13599	249	8	automaton	automaton	NOUN
aiti-13599	249	9	represents	represent	VERB
aiti-13599	249	10	the	the	DET
aiti-13599	249	11	synchronized	synchronize	VERB
aiti-13599	249	12	behavior	behavior	NOUN
aiti-13599	249	13	of	of	ADP
aiti-13599	249	14	both	both	DET
aiti-13599	249	15	conditions	condition	NOUN
aiti-13599	249	16	,	,	PUNCT
aiti-13599	249	17	ensuring	ensure	VERB
aiti-13599	249	18	compliance	compliance	NOUN
aiti-13599	249	19	with	with	ADP
aiti-13599	249	20	the	the	DET
aiti-13599	249	21	language	language	NOUN
aiti-13599	249	22	pattern	pattern	NOUN
aiti-13599	249	23	.	.	PUNCT
aiti-13599	250	1	here	here	ADV
aiti-13599	250	2	the	the	DET
aiti-13599	250	3	final	final	ADJ
aiti-13599	250	4	state	state	NOUN
aiti-13599	250	5	is	be	AUX
aiti-13599	250	6	q11	q11	NOUN
aiti-13599	250	7	.	.	PUNCT
aiti-13599	251	1	(	(	PUNCT
aiti-13599	251	2	5	5	X
aiti-13599	251	3	)	)	PUNCT
aiti-13599	251	4	validate	validate	VERB
aiti-13599	251	5	finite	finite	ADJ
aiti-13599	251	6	automaton	automaton	NOUN
aiti-13599	251	7	with	with	ADP
aiti-13599	251	8	representative	representative	ADJ
aiti-13599	251	9	strings	string	NOUN
aiti-13599	251	10	:	:	PUNCT
aiti-13599	251	11	test	test	VERB
aiti-13599	251	12	the	the	DET
aiti-13599	251	13	finite	finite	ADJ
aiti-13599	251	14	automaton	automaton	NOUN
aiti-13599	251	15	with	with	ADP
aiti-13599	251	16	both	both	PRON
aiti-13599	251	17	accepted	accept	VERB
aiti-13599	251	18	and	and	CCONJ
aiti-13599	251	19	rejected	reject	VERB
aiti-13599	251	20	representative	representative	ADJ
aiti-13599	251	21	strings	string	NOUN
aiti-13599	251	22	to	to	PART
aiti-13599	251	23	verify	verify	VERB
aiti-13599	251	24	its	its	PRON
aiti-13599	251	25	behavior	behavior	NOUN
aiti-13599	251	26	:	:	PUNCT
aiti-13599	251	27	accepted	accept	VERB
aiti-13599	251	28	strings	string	NOUN
aiti-13599	251	29	:	:	PUNCT
aiti-13599	251	30	{	{	PUNCT
aiti-13599	251	31	“	"	PUNCT
aiti-13599	251	32	aaabb	aaabb	PROPN
aiti-13599	251	33	”	"	PUNCT
aiti-13599	251	34	,	,	PUNCT
aiti-13599	251	35	“	"	PUNCT
aiti-13599	251	36	abaab	abaab	ADJ
aiti-13599	251	37	”	"	PUNCT
aiti-13599	251	38	,	,	PUNCT
aiti-13599	251	39	“	"	PUNCT
aiti-13599	251	40	aabab	aabab	PROPN
aiti-13599	251	41	”	"	PUNCT
aiti-13599	251	42	,	,	PUNCT
aiti-13599	251	43	“	"	PUNCT
aiti-13599	251	44	ababa	ababa	PROPN
aiti-13599	251	45	”	"	PUNCT
aiti-13599	251	46	,	,	PUNCT
aiti-13599	251	47	“	"	PUNCT
aiti-13599	251	48	baaab	baaab	NOUN
aiti-13599	251	49	”	"	PUNCT
aiti-13599	251	50	,	,	PUNCT
aiti-13599	251	51	“	"	PUNCT
aiti-13599	251	52	baaba	baaba	PROPN
aiti-13599	251	53	”	"	PUNCT
aiti-13599	251	54	,	,	PUNCT
aiti-13599	251	55	“	"	PUNCT
aiti-13599	251	56	babaa	babaa	NOUN
aiti-13599	251	57	”	"	PUNCT
aiti-13599	251	58	,	,	PUNCT
aiti-13599	251	59	“	"	PUNCT
aiti-13599	251	60	aabba	aabba	NOUN
aiti-13599	251	61	”	"	PUNCT
aiti-13599	251	62	,	,	PUNCT
aiti-13599	251	63	“	"	PUNCT
aiti-13599	251	64	abbaa	abbaa	NOUN
aiti-13599	251	65	”	"	PUNCT
aiti-13599	251	66	,	,	PUNCT
aiti-13599	251	67	“	"	PUNCT
aiti-13599	251	68	bbaaa	bbaaa	NOUN
aiti-13599	251	69	”	"	PUNCT
aiti-13599	251	70	}	}	PUNCT
aiti-13599	251	71	rejected	reject	VERB
aiti-13599	251	72	strings	string	NOUN
aiti-13599	251	73	:	:	PUNCT
aiti-13599	251	74	{	{	PUNCT
aiti-13599	251	75	“	"	PUNCT
aiti-13599	251	76	aaaab	aaaab	PROPN
aiti-13599	251	77	”	"	PUNCT
aiti-13599	251	78	,	,	PUNCT
aiti-13599	251	79	“	"	PUNCT
aiti-13599	251	80	aaaaa	aaaaa	NOUN
aiti-13599	251	81	”	"	PUNCT
aiti-13599	251	82	,	,	PUNCT
aiti-13599	251	83	“	"	PUNCT
aiti-13599	251	84	aaaaaa	aaaaaa	NOUN
aiti-13599	251	85	”	"	PUNCT
aiti-13599	251	86	,	,	PUNCT
aiti-13599	251	87	“	"	PUNCT
aiti-13599	251	88	aabbb	aabbb	ADJ
aiti-13599	251	89	”	"	PUNCT
aiti-13599	251	90	,	,	PUNCT
aiti-13599	251	91	“	"	PUNCT
aiti-13599	251	92	abbbb	abbbb	NOUN
aiti-13599	251	93	”	"	PUNCT
aiti-13599	251	94	,	,	PUNCT
aiti-13599	251	95	“	"	PUNCT
aiti-13599	251	96	bbbb	bbbb	PROPN
aiti-13599	251	97	”	"	PUNCT
aiti-13599	251	98	,	,	PUNCT
aiti-13599	251	99	“	"	PUNCT
aiti-13599	251	100	bbbbb	bbbbb	PROPN
aiti-13599	251	101	”	"	PUNCT
aiti-13599	251	102	,	,	PUNCT
aiti-13599	251	103	“	"	PUNCT
aiti-13599	251	104	babab	babab	PROPN
aiti-13599	251	105	”	"	PUNCT
aiti-13599	251	106	,	,	PUNCT
aiti-13599	251	107	“	"	PUNCT
aiti-13599	251	108	bbaab	bbaab	NOUN
aiti-13599	251	109	”	"	PUNCT
aiti-13599	251	110	}	}	PUNCT
aiti-13599	251	111	these	these	DET
aiti-13599	251	112	steps	step	NOUN
aiti-13599	251	113	demonstrate	demonstrate	VERB
aiti-13599	251	114	the	the	DET
aiti-13599	251	115	construction	construction	NOUN
aiti-13599	251	116	and	and	CCONJ
aiti-13599	251	117	validation	validation	NOUN
aiti-13599	251	118	of	of	ADP
aiti-13599	251	119	a	a	DET
aiti-13599	251	120	finite	finite	ADJ
aiti-13599	251	121	automaton	automaton	NOUN
aiti-13599	251	122	using	use	VERB
aiti-13599	251	123	the	the	DET
aiti-13599	251	124	grid	grid	NOUN
aiti-13599	251	125	automata	automata	NOUN
aiti-13599	251	126	method	method	NOUN
aiti-13599	251	127	for	for	ADP
aiti-13599	251	128	the	the	DET
aiti-13599	251	129	language	language	NOUN
aiti-13599	251	130	where	where	SCONJ
aiti-13599	251	131	the	the	DET
aiti-13599	251	132	number	number	NOUN
aiti-13599	251	133	of	of	ADP
aiti-13599	251	134	‘	'	PUNCT
aiti-13599	251	135	a	a	DET
aiti-13599	251	136	’s	’s	NOUN
aiti-13599	251	137	is	be	AUX
aiti-13599	251	138	exactly	exactly	ADV
aiti-13599	251	139	3	3	NUM
aiti-13599	251	140	and	and	CCONJ
aiti-13599	251	141	the	the	DET
aiti-13599	251	142	number	number	NOUN
aiti-13599	251	143	of	of	ADP
aiti-13599	251	144	‘	'	PUNCT
aiti-13599	251	145	b	b	X
aiti-13599	251	146	’s	’s	NOUN
aiti-13599	251	147	is	be	AUX
aiti-13599	251	148	exactly	exactly	ADV
aiti-13599	251	149	2	2	NUM
aiti-13599	251	150	.	.	NOUN
aiti-13599	251	151	end	end	NOUN
aiti-13599	251	152	of	of	ADP
aiti-13599	251	153	example	example	NOUN
aiti-13599	251	154	4	4	NUM
aiti-13599	251	155	fig	fig	NOUN
aiti-13599	251	156	.	.	PUNCT
aiti-13599	252	1	13	13	NUM
aiti-13599	252	2	initial	initial	ADJ
aiti-13599	252	3	automaton	automaton	NOUN
aiti-13599	252	4	for	for	ADP
aiti-13599	252	5	exactly	exactly	ADV
aiti-13599	252	6	3	3	NUM
aiti-13599	252	7	‘	'	PUNCT
aiti-13599	252	8	a	a	PRON
aiti-13599	252	9	’	'	PUNCT
aiti-13599	252	10	.	.	PUNCT
aiti-13599	253	1	fig	fig	NOUN
aiti-13599	253	2	.	.	PUNCT
aiti-13599	254	1	14	14	NUM
aiti-13599	254	2	final	final	ADJ
aiti-13599	254	3	balanced	balanced	ADJ
aiti-13599	254	4	automaton	automaton	NOUN
aiti-13599	254	5	for	for	ADP
aiti-13599	254	6	exactly	exactly	ADV
aiti-13599	254	7	3	3	NUM
aiti-13599	254	8	‘	'	PUNCT
aiti-13599	254	9	a	a	PRON
aiti-13599	254	10	’	'	PUNCT
aiti-13599	254	11	and	and	CCONJ
aiti-13599	254	12	2	2	NUM
aiti-13599	254	13	‘	'	PUNCT
aiti-13599	254	14	'	'	CCONJ
aiti-13599	254	15	b	b	NOUN
aiti-13599	254	16	’	'	PUNCT
aiti-13599	254	17	3.2	3.2	NUM
aiti-13599	254	18	.	.	PUNCT
aiti-13599	255	1	product	product	NOUN
aiti-13599	255	2	automata	automata	NOUN
aiti-13599	255	3	product	product	NOUN
aiti-13599	255	4	automata	automata	NOUN
aiti-13599	255	5	is	be	AUX
aiti-13599	255	6	a	a	DET
aiti-13599	255	7	method	method	NOUN
aiti-13599	255	8	that	that	PRON
aiti-13599	255	9	analyzes	analyze	VERB
aiti-13599	255	10	complex	complex	ADJ
aiti-13599	255	11	systems	system	NOUN
aiti-13599	255	12	by	by	ADP
aiti-13599	255	13	integrating	integrate	VERB
aiti-13599	255	14	multiple	multiple	ADJ
aiti-13599	255	15	automata	automata	NOUN
aiti-13599	255	16	into	into	ADP
aiti-13599	255	17	a	a	DET
aiti-13599	255	18	single	single	ADJ
aiti-13599	255	19	automaton	automaton	NOUN
aiti-13599	255	20	.	.	PUNCT
aiti-13599	256	1	this	this	DET
aiti-13599	256	2	method	method	NOUN
aiti-13599	256	3	utilizes	utilize	VERB
aiti-13599	256	4	the	the	DET
aiti-13599	256	5	cartesian	cartesian	ADJ
aiti-13599	256	6	product	product	NOUN
aiti-13599	256	7	combine	combine	VERB
aiti-13599	256	8	multiple	multiple	ADJ
aiti-13599	256	9	automata	automata	NOUN
aiti-13599	256	10	into	into	ADP
aiti-13599	256	11	one	one	NUM
aiti-13599	256	12	,	,	PUNCT
aiti-13599	256	13	synchronizing	synchronize	VERB
aiti-13599	256	14	their	their	PRON
aiti-13599	256	15	transitions	transition	NOUN
aiti-13599	256	16	between	between	ADP
aiti-13599	256	17	states	state	NOUN
aiti-13599	256	18	[	[	X
aiti-13599	256	19	12	12	NUM
aiti-13599	256	20	-	-	SYM
aiti-13599	256	21	15	15	NUM
aiti-13599	256	22	]	]	PUNCT
aiti-13599	256	23	.	.	PUNCT
aiti-13599	257	1	by	by	ADP
aiti-13599	257	2	using	use	VERB
aiti-13599	257	3	this	this	DET
aiti-13599	257	4	method	method	NOUN
aiti-13599	257	5	,	,	PUNCT
aiti-13599	257	6	it	it	PRON
aiti-13599	257	7	becomes	become	VERB
aiti-13599	257	8	easier	easy	ADJ
aiti-13599	257	9	to	to	PART
aiti-13599	257	10	understand	understand	VERB
aiti-13599	257	11	complex	complex	ADJ
aiti-13599	257	12	systems	system	NOUN
aiti-13599	257	13	by	by	ADP
aiti-13599	257	14	breaking	break	VERB
aiti-13599	257	15	them	they	PRON
aiti-13599	257	16	down	down	ADP
aiti-13599	257	17	into	into	ADP
aiti-13599	257	18	parts	part	NOUN
aiti-13599	257	19	and	and	CCONJ
aiti-13599	257	20	synchronizing	synchronize	VERB
aiti-13599	257	21	their	their	PRON
aiti-13599	257	22	behavior	behavior	NOUN
aiti-13599	257	23	.	.	PUNCT
aiti-13599	258	1	product	product	NOUN
aiti-13599	258	2	automata	automata	NOUN
aiti-13599	258	3	enables	enable	VERB
aiti-13599	258	4	a	a	DET
aiti-13599	258	5	comprehensive	comprehensive	ADJ
aiti-13599	258	6	study	study	NOUN
aiti-13599	258	7	of	of	ADP
aiti-13599	258	8	system	system	NOUN
aiti-13599	258	9	-	-	PUNCT
aiti-13599	258	10	wide	wide	ADJ
aiti-13599	258	11	properties	property	NOUN
aiti-13599	258	12	and	and	CCONJ
aiti-13599	258	13	interactions	interaction	NOUN
aiti-13599	258	14	and	and	CCONJ
aiti-13599	258	15	are	be	AUX
aiti-13599	258	16	particularly	particularly	ADV
aiti-13599	258	17	useful	useful	ADJ
aiti-13599	258	18	for	for	ADP
aiti-13599	258	19	analyzing	analyze	VERB
aiti-13599	258	20	systems	system	NOUN
aiti-13599	258	21	with	with	ADP
aiti-13599	258	22	multiple	multiple	ADJ
aiti-13599	258	23	components	component	NOUN
aiti-13599	258	24	or	or	CCONJ
aiti-13599	258	25	subsystems	subsystem	NOUN
aiti-13599	258	26	.	.	PUNCT
aiti-13599	259	1	this	this	DET
aiti-13599	259	2	visualization	visualization	NOUN
aiti-13599	259	3	is	be	AUX
aiti-13599	259	4	shown	show	VERB
aiti-13599	259	5	in	in	ADP
aiti-13599	259	6	the	the	DET
aiti-13599	259	7	following	follow	VERB
aiti-13599	259	8	fig	fig	NOUN
aiti-13599	259	9	.	.	PUNCT
aiti-13599	260	1	15	15	NUM
aiti-13599	260	2	.	.	X
aiti-13599	261	1	250	250	NUM
aiti-13599	261	2	advances	advance	NOUN
aiti-13599	261	3	in	in	ADP
aiti-13599	261	4	technology	technology	NOUN
aiti-13599	261	5	innovation	innovation	NOUN
aiti-13599	261	6	,	,	PUNCT
aiti-13599	261	7	vol	vol	NOUN
aiti-13599	261	8	.	.	PROPN
aiti-13599	261	9	9	9	NUM
aiti-13599	261	10	,	,	PUNCT
aiti-13599	261	11	no	no	INTJ
aiti-13599	261	12	.	.	NOUN
aiti-13599	261	13	3	3	NUM
aiti-13599	261	14	,	,	PUNCT
aiti-13599	261	15	2024	2024	NUM
aiti-13599	261	16	,	,	PUNCT
aiti-13599	261	17	pp	pp	ADV
aiti-13599	261	18	.	.	PUNCT
aiti-13599	262	1	239	239	NUM
aiti-13599	262	2	-	-	SYM
aiti-13599	262	3	255	255	NUM
aiti-13599	262	4	fig	fig	NOUN
aiti-13599	262	5	.	.	PUNCT
aiti-13599	263	1	15	15	NUM
aiti-13599	263	2	product	product	NOUN
aiti-13599	263	3	automata	automata	NOUN
aiti-13599	263	4	state	state	NOUN
aiti-13599	263	5	construction	construction	NOUN
aiti-13599	263	6	3.2.1	3.2.1	NUM
aiti-13599	263	7	.	.	PUNCT
aiti-13599	264	1	algorithm	algorithm	NOUN
aiti-13599	264	2	3	3	NUM
aiti-13599	264	3	:	:	PUNCT
aiti-13599	264	4	construction	construction	NOUN
aiti-13599	264	5	of	of	ADP
aiti-13599	264	6	product	product	NOUN
aiti-13599	264	7	automata	automata	NOUN
aiti-13599	264	8	in	in	ADP
aiti-13599	264	9	this	this	DET
aiti-13599	264	10	section	section	NOUN
aiti-13599	265	1	,	,	PUNCT
aiti-13599	265	2	a	a	DET
aiti-13599	265	3	groundbreaking	groundbreake	VERB
aiti-13599	265	4	algorithm	algorithm	NOUN
aiti-13599	265	5	is	be	AUX
aiti-13599	265	6	presented	present	VERB
aiti-13599	265	7	for	for	ADP
aiti-13599	265	8	building	build	VERB
aiti-13599	265	9	product	product	NOUN
aiti-13599	265	10	automata	automata	NOUN
aiti-13599	265	11	that	that	PRON
aiti-13599	265	12	takes	take	VERB
aiti-13599	265	13	advantage	advantage	NOUN
aiti-13599	265	14	of	of	ADP
aiti-13599	265	15	the	the	DET
aiti-13599	265	16	developed	develop	VERB
aiti-13599	265	17	techniques	technique	NOUN
aiti-13599	265	18	to	to	PART
aiti-13599	265	19	efficiently	efficiently	ADV
aiti-13599	265	20	integrate	integrate	VERB
aiti-13599	265	21	several	several	ADJ
aiti-13599	265	22	automata	automata	NOUN
aiti-13599	265	23	into	into	ADP
aiti-13599	265	24	a	a	DET
aiti-13599	265	25	coherent	coherent	ADJ
aiti-13599	265	26	product	product	NOUN
aiti-13599	265	27	automaton	automaton	NOUN
aiti-13599	265	28	.	.	PUNCT
aiti-13599	266	1	the	the	DET
aiti-13599	266	2	main	main	ADJ
aiti-13599	266	3	contribution	contribution	NOUN
aiti-13599	266	4	is	be	AUX
aiti-13599	266	5	the	the	DET
aiti-13599	266	6	development	development	NOUN
aiti-13599	266	7	of	of	ADP
aiti-13599	266	8	a	a	DET
aiti-13599	266	9	systematic	systematic	ADJ
aiti-13599	266	10	strategy	strategy	NOUN
aiti-13599	266	11	to	to	PART
aiti-13599	266	12	improve	improve	VERB
aiti-13599	266	13	the	the	DET
aiti-13599	266	14	accuracy	accuracy	NOUN
aiti-13599	266	15	and	and	CCONJ
aiti-13599	266	16	performance	performance	NOUN
aiti-13599	266	17	of	of	ADP
aiti-13599	266	18	product	product	NOUN
aiti-13599	266	19	automata	automata	NOUN
aiti-13599	266	20	building	building	NOUN
aiti-13599	266	21	,	,	PUNCT
aiti-13599	266	22	which	which	PRON
aiti-13599	266	23	is	be	AUX
aiti-13599	266	24	distinguished	distinguish	VERB
aiti-13599	266	25	by	by	ADP
aiti-13599	266	26	this	this	DET
aiti-13599	266	27	work	work	NOUN
aiti-13599	266	28	’s	’s	PART
aiti-13599	266	29	new	new	ADJ
aiti-13599	266	30	combination	combination	NOUN
aiti-13599	266	31	of	of	ADP
aiti-13599	266	32	increased	increase	VERB
aiti-13599	266	33	state	state	NOUN
aiti-13599	266	34	synchronization	synchronization	NOUN
aiti-13599	266	35	and	and	CCONJ
aiti-13599	266	36	transition	transition	NOUN
aiti-13599	266	37	management	management	NOUN
aiti-13599	266	38	strategies	strategy	NOUN
aiti-13599	266	39	.	.	PUNCT
aiti-13599	267	1	the	the	DET
aiti-13599	267	2	suggested	suggest	VERB
aiti-13599	267	3	method	method	NOUN
aiti-13599	267	4	not	not	PART
aiti-13599	267	5	only	only	ADV
aiti-13599	267	6	streamlines	streamline	VERB
aiti-13599	267	7	the	the	DET
aiti-13599	267	8	merging	merging	NOUN
aiti-13599	267	9	process	process	NOUN
aiti-13599	267	10	but	but	CCONJ
aiti-13599	267	11	also	also	ADV
aiti-13599	267	12	assures	assure	VERB
aiti-13599	267	13	that	that	SCONJ
aiti-13599	267	14	the	the	DET
aiti-13599	267	15	resulting	result	VERB
aiti-13599	267	16	automaton	automaton	NOUN
aiti-13599	267	17	is	be	AUX
aiti-13599	267	18	optimized	optimize	VERB
aiti-13599	267	19	for	for	ADP
aiti-13599	267	20	minimal	minimal	ADJ
aiti-13599	267	21	state	state	NOUN
aiti-13599	267	22	redundancy	redundancy	NOUN
aiti-13599	267	23	and	and	CCONJ
aiti-13599	267	24	maximum	maximum	ADJ
aiti-13599	267	25	transition	transition	NOUN
aiti-13599	267	26	efficiency	efficiency	NOUN
aiti-13599	267	27	.	.	PUNCT
aiti-13599	268	1	this	this	DET
aiti-13599	268	2	development	development	NOUN
aiti-13599	268	3	is	be	AUX
aiti-13599	268	4	especially	especially	ADV
aiti-13599	268	5	significant	significant	ADJ
aiti-13599	268	6	in	in	ADP
aiti-13599	268	7	applications	application	NOUN
aiti-13599	268	8	like	like	ADP
aiti-13599	268	9	parallel	parallel	ADJ
aiti-13599	268	10	processing	processing	NOUN
aiti-13599	268	11	and	and	CCONJ
aiti-13599	268	12	complicated	complicated	ADJ
aiti-13599	268	13	system	system	NOUN
aiti-13599	268	14	simulations	simulation	NOUN
aiti-13599	268	15	,	,	PUNCT
aiti-13599	268	16	where	where	SCONJ
aiti-13599	268	17	maintaining	maintain	VERB
aiti-13599	268	18	peak	peak	NOUN
aiti-13599	268	19	performance	performance	NOUN
aiti-13599	268	20	is	be	AUX
aiti-13599	268	21	critical	critical	ADJ
aiti-13599	268	22	.	.	PUNCT
aiti-13599	269	1	input	input	NOUN
aiti-13599	269	2	:	:	PUNCT
aiti-13599	269	3	two	two	NUM
aiti-13599	269	4	finite	finite	PROPN
aiti-13599	269	5	automata	automata	VERB
aiti-13599	269	6	fa1	fa1	NOUN
aiti-13599	269	7	and	and	CCONJ
aiti-13599	269	8	fa2	fa2	PROPN
aiti-13599	269	9	,	,	PUNCT
aiti-13599	269	10	denoted	denote	VERB
aiti-13599	269	11	as	as	ADP
aiti-13599	269	12	(	(	PUNCT
aiti-13599	269	13	q1	q1	PROPN
aiti-13599	269	14	,	,	PUNCT
aiti-13599	269	15	σ1	σ1	PROPN
aiti-13599	269	16	,	,	PUNCT
aiti-13599	269	17	δ1	δ1	NOUN
aiti-13599	269	18	,	,	PUNCT
aiti-13599	269	19	q01	q01	NOUN
aiti-13599	269	20	,	,	PUNCT
aiti-13599	269	21	f1	f1	NOUN
aiti-13599	269	22	)	)	PUNCT
aiti-13599	269	23	and	and	CCONJ
aiti-13599	269	24	(	(	PUNCT
aiti-13599	269	25	q2	q2	NOUN
aiti-13599	269	26	,	,	PUNCT
aiti-13599	269	27	σ2	σ2	PROPN
aiti-13599	269	28	,	,	PUNCT
aiti-13599	269	29	δ2	δ2	PROPN
aiti-13599	269	30	,	,	PUNCT
aiti-13599	269	31	q02	q02	PROPN
aiti-13599	269	32	,	,	PUNCT
aiti-13599	269	33	f2	f2	PROPN
aiti-13599	269	34	)	)	PUNCT
aiti-13599	269	35	respectively	respectively	ADV
aiti-13599	269	36	.	.	PUNCT
aiti-13599	270	1	output	output	NOUN
aiti-13599	270	2	:	:	PUNCT
aiti-13599	270	3	product	product	NOUN
aiti-13599	270	4	automata	automata	NOUN
aiti-13599	270	5	represents	represent	VERB
aiti-13599	270	6	the	the	DET
aiti-13599	270	7	synchronized	synchronize	VERB
aiti-13599	270	8	behavior	behavior	NOUN
aiti-13599	270	9	of	of	ADP
aiti-13599	270	10	fa1	fa1	NOUN
aiti-13599	270	11	and	and	CCONJ
aiti-13599	270	12	fa2	fa2	NOUN
aiti-13599	270	13	.	.	PUNCT
aiti-13599	271	1	procedure	procedure	NOUN
aiti-13599	271	2	:	:	PUNCT
aiti-13599	271	3	(	(	PUNCT
aiti-13599	271	4	1	1	X
aiti-13599	271	5	)	)	PUNCT
aiti-13599	271	6	define	define	VERB
aiti-13599	271	7	finite	finite	ADJ
aiti-13599	271	8	automata	automata	NOUN
aiti-13599	271	9	:	:	PUNCT
aiti-13599	271	10	let	let	VERB
aiti-13599	271	11	fa1	fa1	NOUN
aiti-13599	271	12	and	and	CCONJ
aiti-13599	271	13	fa2	fa2	NOUN
aiti-13599	271	14	be	be	AUX
aiti-13599	271	15	the	the	DET
aiti-13599	271	16	given	give	VERB
aiti-13599	271	17	finite	finite	ADJ
aiti-13599	271	18	automata	automata	NOUN
aiti-13599	271	19	.	.	PUNCT
aiti-13599	272	1	(	(	PUNCT
aiti-13599	272	2	2	2	X
aiti-13599	272	3	)	)	PUNCT
aiti-13599	272	4	determine	determine	VERB
aiti-13599	272	5	state	state	NOUN
aiti-13599	272	6	space	space	NOUN
aiti-13599	272	7	:	:	PUNCT
aiti-13599	272	8	combine	combine	VERB
aiti-13599	272	9	the	the	DET
aiti-13599	272	10	state	state	NOUN
aiti-13599	272	11	spaces	space	VERB
aiti-13599	272	12	to	to	PART
aiti-13599	272	13	obtain	obtain	VERB
aiti-13599	272	14	q	q	NOUN
aiti-13599	272	15	=	=	PUNCT
aiti-13599	272	16	q1	q1	PROPN
aiti-13599	272	17	×	×	PROPN
aiti-13599	272	18	q2	q2	NOUN
aiti-13599	272	19	.	.	PUNCT
aiti-13599	273	1	(	(	PUNCT
aiti-13599	273	2	3	3	X
aiti-13599	273	3	)	)	PUNCT
aiti-13599	273	4	define	define	VERB
aiti-13599	273	5	input	input	NOUN
aiti-13599	273	6	alphabet	alphabet	NOUN
aiti-13599	273	7	:	:	PUNCT
aiti-13599	273	8	set	set	VERB
aiti-13599	273	9	the	the	DET
aiti-13599	273	10	input	input	NOUN
aiti-13599	273	11	alphabet	alphabet	NOUN
aiti-13599	273	12	as	as	ADP
aiti-13599	273	13	σ	σ	PROPN
aiti-13599	273	14	=	=	PROPN
aiti-13599	273	15	σ1	σ1	PROPN
aiti-13599	273	16	∪	∪	PROPN
aiti-13599	273	17	σ2	σ2	PROPN
aiti-13599	273	18	.	.	PUNCT
aiti-13599	274	1	(	(	PUNCT
aiti-13599	274	2	4	4	X
aiti-13599	274	3	)	)	PUNCT
aiti-13599	274	4	combine	combine	VERB
aiti-13599	274	5	transition	transition	NOUN
aiti-13599	274	6	functions	function	NOUN
aiti-13599	274	7	:	:	PUNCT
aiti-13599	274	8	define	define	VERB
aiti-13599	274	9	the	the	DET
aiti-13599	274	10	transition	transition	NOUN
aiti-13599	274	11	function	function	NOUN
aiti-13599	274	12	as	as	ADP
aiti-13599	274	13	δ((q1	δ((q1	NOUN
aiti-13599	274	14	,	,	PUNCT
aiti-13599	274	15	q2	q2	PROPN
aiti-13599	274	16	)	)	PUNCT
aiti-13599	274	17	,	,	PUNCT
aiti-13599	274	18	a	a	X
aiti-13599	274	19	)	)	PUNCT
aiti-13599	274	20	=	=	SYM
aiti-13599	274	21	(	(	PUNCT
aiti-13599	274	22	δ1(q1	δ1(q1	NOUN
aiti-13599	274	23	,	,	PUNCT
aiti-13599	274	24	a	a	PRON
aiti-13599	274	25	)	)	PUNCT
aiti-13599	274	26	,	,	PUNCT
aiti-13599	274	27	δ2(q2	δ2(q2	NOUN
aiti-13599	274	28	,	,	PUNCT
aiti-13599	274	29	a	a	PRON
aiti-13599	274	30	)	)	PUNCT
aiti-13599	274	31	)	)	PUNCT
aiti-13599	274	32	,	,	PUNCT
aiti-13599	274	33	where	where	SCONJ
aiti-13599	274	34	a	a	DET
aiti-13599	274	35	∈	∈	PROPN
aiti-13599	274	36	σ	σ	X
aiti-13599	274	37	.	.	PUNCT
aiti-13599	274	38	(	(	PUNCT
aiti-13599	274	39	5	5	X
aiti-13599	274	40	)	)	PUNCT
aiti-13599	274	41	set	set	VERB
aiti-13599	274	42	initial	initial	ADJ
aiti-13599	274	43	state	state	NOUN
aiti-13599	274	44	:	:	PUNCT
aiti-13599	274	45	determine	determine	VERB
aiti-13599	274	46	the	the	DET
aiti-13599	274	47	initial	initial	ADJ
aiti-13599	274	48	state	state	NOUN
aiti-13599	274	49	as	as	ADP
aiti-13599	274	50	q0	q0	PROPN
aiti-13599	274	51	=	=	SYM
aiti-13599	274	52	(	(	PUNCT
aiti-13599	274	53	q01	q01	PROPN
aiti-13599	274	54	,	,	PUNCT
aiti-13599	274	55	q02	q02	PROPN
aiti-13599	274	56	)	)	PUNCT
aiti-13599	274	57	.	.	PUNCT
aiti-13599	275	1	(	(	PUNCT
aiti-13599	275	2	6	6	X
aiti-13599	275	3	)	)	PUNCT
aiti-13599	275	4	determine	determine	NOUN
aiti-13599	275	5	accepting	accept	VERB
aiti-13599	275	6	states	state	NOUN
aiti-13599	275	7	:	:	PUNCT
aiti-13599	275	8	use	use	VERB
aiti-13599	275	9	union	union	NOUN
aiti-13599	275	10	condition	condition	NOUN
aiti-13599	275	11	:	:	PUNCT
aiti-13599	275	12	f	f	X
aiti-13599	275	13	=	=	PRON
aiti-13599	275	14	{	{	PUNCT
aiti-13599	275	15	(	(	PUNCT
aiti-13599	275	16	q1	q1	PROPN
aiti-13599	275	17	,	,	PUNCT
aiti-13599	275	18	q2	q2	NOUN
aiti-13599	275	19	)	)	PUNCT
aiti-13599	275	20	∣	∣	PROPN
aiti-13599	275	21	q1	q1	PROPN
aiti-13599	275	22	∈	∈	PROPN
aiti-13599	275	23	f1	f1	NOUN
aiti-13599	275	24	or	or	CCONJ
aiti-13599	275	25	q2	q2	PROPN
aiti-13599	275	26	∈	∈	PROPN
aiti-13599	275	27	f2	f2	PROPN
aiti-13599	275	28	}	}	PUNCT
aiti-13599	275	29	if	if	SCONJ
aiti-13599	275	30	either	either	PRON
aiti-13599	275	31	of	of	ADP
aiti-13599	275	32	fa1	fa1	NOUN
aiti-13599	275	33	or	or	CCONJ
aiti-13599	275	34	fa2	fa2	NOUN
aiti-13599	275	35	recognizes	recognize	VERB
aiti-13599	275	36	the	the	DET
aiti-13599	275	37	strings	string	NOUN
aiti-13599	275	38	.	.	PUNCT
aiti-13599	276	1	(	(	PUNCT
aiti-13599	276	2	7	7	X
aiti-13599	276	3	)	)	PUNCT
aiti-13599	276	4	construct	construct	VERB
aiti-13599	276	5	product	product	NOUN
aiti-13599	276	6	automata	automata	NOUN
aiti-13599	276	7	:	:	PUNCT
aiti-13599	276	8	combine	combine	VERB
aiti-13599	276	9	state	state	NOUN
aiti-13599	276	10	space	space	NOUN
aiti-13599	276	11	,	,	PUNCT
aiti-13599	276	12	input	input	NOUN
aiti-13599	276	13	alphabet	alphabet	NOUN
aiti-13599	276	14	,	,	PUNCT
aiti-13599	276	15	transition	transition	NOUN
aiti-13599	276	16	function	function	NOUN
aiti-13599	276	17	,	,	PUNCT
aiti-13599	276	18	initial	initial	ADJ
aiti-13599	276	19	state	state	NOUN
aiti-13599	276	20	,	,	PUNCT
aiti-13599	276	21	and	and	CCONJ
aiti-13599	276	22	accepting	accept	VERB
aiti-13599	276	23	states	state	NOUN
aiti-13599	276	24	to	to	PART
aiti-13599	276	25	create	create	VERB
aiti-13599	276	26	the	the	DET
aiti-13599	276	27	product	product	NOUN
aiti-13599	276	28	automaton	automaton	NOUN
aiti-13599	276	29	representing	represent	VERB
aiti-13599	276	30	the	the	DET
aiti-13599	276	31	synchronized	synchronize	VERB
aiti-13599	276	32	behavior	behavior	NOUN
aiti-13599	276	33	of	of	ADP
aiti-13599	276	34	fa1	fa1	NOUN
aiti-13599	276	35	and	and	CCONJ
aiti-13599	276	36	fa2	fa2	PROPN
aiti-13599	276	37	.	.	PUNCT
aiti-13599	277	1	end	end	NOUN
aiti-13599	277	2	of	of	ADP
aiti-13599	277	3	algorithm	algorithm	NOUN
aiti-13599	277	4	3	3	NUM
aiti-13599	277	5	let	let	VERB
aiti-13599	277	6	’s	’s	NOUN
aiti-13599	277	7	now	now	ADV
aiti-13599	277	8	explore	explore	VERB
aiti-13599	277	9	multiple	multiple	ADJ
aiti-13599	277	10	examples	example	NOUN
aiti-13599	277	11	to	to	PART
aiti-13599	277	12	demonstrate	demonstrate	VERB
aiti-13599	277	13	the	the	DET
aiti-13599	277	14	versatility	versatility	NOUN
aiti-13599	277	15	of	of	ADP
aiti-13599	277	16	the	the	DET
aiti-13599	277	17	product	product	NOUN
aiti-13599	277	18	automata	automata	NOUN
aiti-13599	277	19	construction	construction	NOUN
aiti-13599	277	20	algorithm	algorithm	NOUN
aiti-13599	277	21	.	.	PUNCT
aiti-13599	278	1	example	example	NOUN
aiti-13599	278	2	5	5	NUM
aiti-13599	278	3	:	:	PUNCT
aiti-13599	278	4	consider	consider	VERB
aiti-13599	278	5	the	the	DET
aiti-13599	278	6	two	two	NUM
aiti-13599	278	7	finite	finite	ADJ
aiti-13599	278	8	automata	automata	NOUN
aiti-13599	278	9	fa1	fa1	NOUN
aiti-13599	278	10	and	and	CCONJ
aiti-13599	278	11	fa2	fa2	PROPN
aiti-13599	278	12	,	,	PUNCT
aiti-13599	278	13	over	over	ADP
aiti-13599	278	14	the	the	DET
aiti-13599	278	15	alphabet	alphabet	NOUN
aiti-13599	278	16	{	{	PUNCT
aiti-13599	278	17	a	a	PROPN
aiti-13599	278	18	,	,	PUNCT
aiti-13599	278	19	b	b	NOUN
aiti-13599	278	20	}	}	PUNCT
aiti-13599	278	21	,	,	PUNCT
aiti-13599	278	22	recognizing	recognize	VERB
aiti-13599	278	23	the	the	DET
aiti-13599	278	24	following	follow	VERB
aiti-13599	278	25	languages	language	NOUN
aiti-13599	278	26	:	:	PUNCT
aiti-13599	278	27	fa1	fa1	NOUN
aiti-13599	278	28	:	:	PUNCT
aiti-13599	278	29	l1	l1	PROPN
aiti-13599	278	30	=	=	PUNCT
aiti-13599	278	31	{	{	PUNCT
aiti-13599	278	32	w	w	PROPN
aiti-13599	278	33	∈{a	∈{a	PROPN
aiti-13599	278	34	,	,	PUNCT
aiti-13599	278	35	b	b	NOUN
aiti-13599	278	36	}	}	PUNCT
aiti-13599	278	37	∗	∗	NOUN
aiti-13599	278	38	∣	∣	PROPN
aiti-13599	278	39	na(w	na(w	NOUN
aiti-13599	278	40	)	)	PUNCT
aiti-13599	278	41	is	be	AUX
aiti-13599	278	42	even	even	ADV
aiti-13599	278	43	}	}	PUNCT
aiti-13599	278	44	fa2	fa2	NOUN
aiti-13599	278	45	:	:	PUNCT
aiti-13599	278	46	l2	l2	NOUN
aiti-13599	278	47	=	=	SYM
aiti-13599	278	48	{	{	PUNCT
aiti-13599	278	49	w	w	PROPN
aiti-13599	278	50	∈{a	∈{a	PROPN
aiti-13599	278	51	,	,	PUNCT
aiti-13599	278	52	b	b	NOUN
aiti-13599	278	53	}	}	PUNCT
aiti-13599	278	54	∗	∗	PROPN
aiti-13599	278	55	∣	∣	NUM
aiti-13599	278	56	nb(w	nb(w	NOUN
aiti-13599	278	57	)	)	PUNCT
aiti-13599	278	58	is	be	AUX
aiti-13599	278	59	even	even	ADV
aiti-13599	278	60	}	}	PUNCT
aiti-13599	278	61	(	(	PUNCT
aiti-13599	278	62	1	1	X
aiti-13599	278	63	)	)	PUNCT
aiti-13599	278	64	define	define	VERB
aiti-13599	278	65	finite	finite	ADJ
aiti-13599	278	66	automata	automata	NOUN
aiti-13599	278	67	:	:	PUNCT
aiti-13599	278	68	let	let	VERB
aiti-13599	278	69	fa1	fa1	NOUN
aiti-13599	278	70	represent	represent	VERB
aiti-13599	278	71	the	the	DET
aiti-13599	278	72	finite	finite	ADJ
aiti-13599	278	73	automaton	automaton	NOUN
aiti-13599	278	74	for	for	ADP
aiti-13599	278	75	the	the	DET
aiti-13599	278	76	language	language	NOUN
aiti-13599	278	77	where	where	SCONJ
aiti-13599	278	78	the	the	DET
aiti-13599	278	79	number	number	NOUN
aiti-13599	278	80	of	of	ADP
aiti-13599	278	81	occurrences	occurrence	NOUN
aiti-13599	278	82	of	of	ADP
aiti-13599	278	83	‘	'	PUNCT
aiti-13599	278	84	a	a	PRON
aiti-13599	278	85	’	'	PUNCT
aiti-13599	278	86	is	be	AUX
aiti-13599	278	87	even	even	ADV
aiti-13599	278	88	,	,	PUNCT
aiti-13599	278	89	and	and	CCONJ
aiti-13599	278	90	fa2	fa2	NOUN
aiti-13599	278	91	represents	represent	VERB
aiti-13599	278	92	the	the	DET
aiti-13599	278	93	finite	finite	ADJ
aiti-13599	278	94	automaton	automaton	NOUN
aiti-13599	278	95	for	for	ADP
aiti-13599	278	96	the	the	DET
aiti-13599	278	97	language	language	NOUN
aiti-13599	278	98	where	where	SCONJ
aiti-13599	278	99	the	the	DET
aiti-13599	278	100	number	number	NOUN
aiti-13599	278	101	of	of	ADP
aiti-13599	278	102	occurrences	occurrence	NOUN
aiti-13599	278	103	of	of	ADP
aiti-13599	278	104	‘	'	PUNCT
aiti-13599	278	105	b	b	X
aiti-13599	278	106	’	'	PUNCT
aiti-13599	278	107	is	be	AUX
aiti-13599	278	108	even	even	ADV
aiti-13599	278	109	.	.	PUNCT
aiti-13599	279	1	fig	fig	NOUN
aiti-13599	279	2	.	.	PUNCT
aiti-13599	280	1	16	16	NUM
aiti-13599	280	2	and	and	CCONJ
aiti-13599	280	3	fig	fig	NOUN
aiti-13599	280	4	.	.	PUNCT
aiti-13599	281	1	17	17	NUM
aiti-13599	281	2	illustrate	illustrate	VERB
aiti-13599	281	3	fa1	fa1	NOUN
aiti-13599	281	4	and	and	CCONJ
aiti-13599	281	5	fa2	fa2	NOUN
aiti-13599	281	6	respectively	respectively	ADV
aiti-13599	281	7	.	.	PUNCT
aiti-13599	282	1	fig	fig	NOUN
aiti-13599	282	2	.	.	PUNCT
aiti-13599	283	1	16	16	NUM
aiti-13599	283	2	finite	finite	PROPN
aiti-13599	283	3	automata	automata	VERB
aiti-13599	283	4	fa1	fa1	NOUN
aiti-13599	283	5	with	with	ADP
aiti-13599	283	6	even	even	ADV
aiti-13599	283	7	occurrences	occurrence	NOUN
aiti-13599	283	8	of	of	ADP
aiti-13599	283	9	‘	'	PUNCT
aiti-13599	283	10	a	a	DET
aiti-13599	283	11	’	'	PUNCT
aiti-13599	283	12	fig	fig	NOUN
aiti-13599	283	13	.	.	PUNCT
aiti-13599	284	1	17	17	NUM
aiti-13599	284	2	finite	finite	PROPN
aiti-13599	284	3	automata	automata	NOUN
aiti-13599	284	4	fa2	fa2	NOUN
aiti-13599	284	5	with	with	ADP
aiti-13599	284	6	even	even	ADV
aiti-13599	284	7	occurrences	occurrence	NOUN
aiti-13599	284	8	of	of	ADP
aiti-13599	284	9	‘	'	PUNCT
aiti-13599	284	10	b	b	X
aiti-13599	284	11	’	'	PUNCT
aiti-13599	284	12	advances	advance	NOUN
aiti-13599	284	13	in	in	ADP
aiti-13599	284	14	technology	technology	NOUN
aiti-13599	284	15	innovation	innovation	NOUN
aiti-13599	284	16	,	,	PUNCT
aiti-13599	284	17	vol	vol	NOUN
aiti-13599	284	18	.	.	PROPN
aiti-13599	285	1	9	9	NUM
aiti-13599	285	2	,	,	PUNCT
aiti-13599	285	3	no	no	INTJ
aiti-13599	285	4	.	.	NOUN
aiti-13599	285	5	3	3	NUM
aiti-13599	285	6	,	,	PUNCT
aiti-13599	285	7	2024	2024	NUM
aiti-13599	285	8	,	,	PUNCT
aiti-13599	285	9	pp	pp	ADV
aiti-13599	285	10	.	.	PUNCT
aiti-13599	286	1	239	239	NUM
aiti-13599	286	2	-	-	SYM
aiti-13599	286	3	255	255	NUM
aiti-13599	286	4	251	251	NUM
aiti-13599	286	5	(	(	PUNCT
aiti-13599	286	6	2	2	NUM
aiti-13599	286	7	)	)	PUNCT
aiti-13599	286	8	determine	determine	VERB
aiti-13599	286	9	state	state	NOUN
aiti-13599	286	10	space	space	NOUN
aiti-13599	286	11	:	:	PUNCT
aiti-13599	286	12	combine	combine	VERB
aiti-13599	286	13	the	the	DET
aiti-13599	286	14	state	state	NOUN
aiti-13599	286	15	spaces	space	VERB
aiti-13599	286	16	to	to	PART
aiti-13599	286	17	obtain	obtain	VERB
aiti-13599	286	18	q	q	NOUN
aiti-13599	286	19	=	=	PUNCT
aiti-13599	286	20	{	{	PUNCT
aiti-13599	286	21	a	a	PRON
aiti-13599	286	22	,	,	PUNCT
aiti-13599	286	23	b	b	NOUN
aiti-13599	286	24	}	}	PUNCT
aiti-13599	286	25	×	×	NOUN
aiti-13599	286	26	{	{	PUNCT
aiti-13599	286	27	c	c	NOUN
aiti-13599	286	28	,	,	PUNCT
aiti-13599	286	29	d	d	NOUN
aiti-13599	286	30	}	}	PUNCT
aiti-13599	286	31	=	=	SYM
aiti-13599	286	32	{	{	PUNCT
aiti-13599	286	33	ac	ac	PROPN
aiti-13599	286	34	,	,	PUNCT
aiti-13599	286	35	ad	ad	NOUN
aiti-13599	286	36	,	,	PUNCT
aiti-13599	286	37	bc	bc	PROPN
aiti-13599	286	38	,	,	PUNCT
aiti-13599	286	39	bd	bd	PROPN
aiti-13599	286	40	}	}	PUNCT
aiti-13599	286	41	.	.	PUNCT
aiti-13599	287	1	(	(	PUNCT
aiti-13599	287	2	3	3	X
aiti-13599	287	3	)	)	PUNCT
aiti-13599	287	4	define	define	VERB
aiti-13599	287	5	input	input	NOUN
aiti-13599	287	6	alphabet	alphabet	NOUN
aiti-13599	287	7	:	:	PUNCT
aiti-13599	287	8	set	set	VERB
aiti-13599	287	9	the	the	DET
aiti-13599	287	10	input	input	NOUN
aiti-13599	287	11	alphabet	alphabet	NOUN
aiti-13599	287	12	as	as	ADP
aiti-13599	287	13	σ	σ	PROPN
aiti-13599	287	14	=	=	PROPN
aiti-13599	287	15	{	{	PUNCT
aiti-13599	287	16	a	a	PRON
aiti-13599	287	17	,	,	PUNCT
aiti-13599	287	18	b	b	NOUN
aiti-13599	287	19	}	}	PUNCT
aiti-13599	287	20	.	.	PUNCT
aiti-13599	288	1	(	(	PUNCT
aiti-13599	288	2	4	4	X
aiti-13599	288	3	)	)	PUNCT
aiti-13599	288	4	determine	determine	VERB
aiti-13599	288	5	state	state	NOUN
aiti-13599	288	6	space	space	NOUN
aiti-13599	288	7	:	:	PUNCT
aiti-13599	288	8	define	define	VERB
aiti-13599	288	9	the	the	DET
aiti-13599	288	10	transition	transition	NOUN
aiti-13599	288	11	function	function	NOUN
aiti-13599	288	12	as	as	SCONJ
aiti-13599	288	13	follows	follow	VERB
aiti-13599	288	14	:	:	PUNCT
aiti-13599	288	15	δ((q1	δ((q1	NOUN
aiti-13599	288	16	,	,	PUNCT
aiti-13599	288	17	q2	q2	PROPN
aiti-13599	288	18	)	)	PUNCT
aiti-13599	288	19	,	,	PUNCT
aiti-13599	288	20	a	a	X
aiti-13599	288	21	)	)	PUNCT
aiti-13599	289	1	=	=	SYM
aiti-13599	289	2	(	(	PUNCT
aiti-13599	289	3	δ1(q1	δ1(q1	NOUN
aiti-13599	289	4	,	,	PUNCT
aiti-13599	289	5	a	a	PRON
aiti-13599	289	6	)	)	PUNCT
aiti-13599	289	7	,	,	PUNCT
aiti-13599	289	8	δ2(q2	δ2(q2	NOUN
aiti-13599	289	9	,	,	PUNCT
aiti-13599	289	10	a	a	PRON
aiti-13599	289	11	)	)	PUNCT
aiti-13599	289	12	)	)	PUNCT
aiti-13599	289	13	δ((q1	δ((q1	NOUN
aiti-13599	289	14	,	,	PUNCT
aiti-13599	289	15	q2	q2	PROPN
aiti-13599	289	16	)	)	PUNCT
aiti-13599	289	17	,	,	PUNCT
aiti-13599	289	18	b	b	X
aiti-13599	289	19	)	)	PUNCT
aiti-13599	289	20	=	=	SYM
aiti-13599	289	21	(	(	PUNCT
aiti-13599	289	22	δ1(q1	δ1(q1	NOUN
aiti-13599	289	23	,	,	PUNCT
aiti-13599	289	24	b	b	NOUN
aiti-13599	289	25	)	)	PUNCT
aiti-13599	289	26	,	,	PUNCT
aiti-13599	289	27	δ2(q2	δ2(q2	NOUN
aiti-13599	289	28	,	,	PUNCT
aiti-13599	289	29	b	b	NOUN
aiti-13599	289	30	)	)	PUNCT
aiti-13599	289	31	)	)	PUNCT
aiti-13599	289	32	refer	refer	VERB
aiti-13599	289	33	to	to	ADP
aiti-13599	289	34	fig	fig	NOUN
aiti-13599	289	35	.	.	PUNCT
aiti-13599	290	1	18	18	NUM
aiti-13599	290	2	for	for	ADP
aiti-13599	290	3	a	a	DET
aiti-13599	290	4	visual	visual	ADJ
aiti-13599	290	5	representation	representation	NOUN
aiti-13599	290	6	of	of	ADP
aiti-13599	290	7	the	the	DET
aiti-13599	290	8	transition	transition	NOUN
aiti-13599	290	9	function	function	NOUN
aiti-13599	290	10	.	.	PUNCT
aiti-13599	291	1	fig	fig	NOUN
aiti-13599	291	2	.	.	PUNCT
aiti-13599	292	1	18	18	NUM
aiti-13599	292	2	transition	transition	NOUN
aiti-13599	292	3	function	function	NOUN
aiti-13599	292	4	for	for	ADP
aiti-13599	292	5	product	product	NOUN
aiti-13599	292	6	automata	automata	NOUN
aiti-13599	292	7	with	with	ADP
aiti-13599	292	8	even	even	ADV
aiti-13599	292	9	occurrences	occurrence	NOUN
aiti-13599	292	10	of	of	ADP
aiti-13599	292	11	‘	'	PUNCT
aiti-13599	292	12	a	a	PRON
aiti-13599	292	13	’	'	PUNCT
aiti-13599	292	14	and	and	CCONJ
aiti-13599	292	15	‘	'	PUNCT
aiti-13599	292	16	b	b	X
aiti-13599	292	17	’	'	PUNCT
aiti-13599	292	18	(	(	PUNCT
aiti-13599	292	19	5	5	NUM
aiti-13599	292	20	)	)	PUNCT
aiti-13599	292	21	set	set	VERB
aiti-13599	292	22	initial	initial	ADJ
aiti-13599	292	23	state	state	NOUN
aiti-13599	292	24	:	:	PUNCT
aiti-13599	292	25	determine	determine	VERB
aiti-13599	292	26	the	the	DET
aiti-13599	292	27	initial	initial	ADJ
aiti-13599	292	28	state	state	NOUN
aiti-13599	292	29	as	as	ADP
aiti-13599	292	30	q0	q0	PROPN
aiti-13599	292	31	=	=	SYM
aiti-13599	292	32	(	(	PUNCT
aiti-13599	292	33	q01	q01	PROPN
aiti-13599	292	34	,	,	PUNCT
aiti-13599	292	35	q02	q02	PROPN
aiti-13599	292	36	)	)	PUNCT
aiti-13599	292	37	=	=	PRON
aiti-13599	292	38	(	(	PUNCT
aiti-13599	292	39	a	a	PRON
aiti-13599	292	40	,	,	PUNCT
aiti-13599	292	41	c	c	NOUN
aiti-13599	292	42	)	)	PUNCT
aiti-13599	292	43	.	.	PUNCT
aiti-13599	293	1	(	(	PUNCT
aiti-13599	293	2	6	6	X
aiti-13599	293	3	)	)	PUNCT
aiti-13599	293	4	determine	determine	NOUN
aiti-13599	293	5	accepting	accept	VERB
aiti-13599	293	6	states	state	NOUN
aiti-13599	293	7	:	:	PUNCT
aiti-13599	293	8	using	use	VERB
aiti-13599	293	9	intersection	intersection	NOUN
aiti-13599	293	10	conditions	condition	NOUN
aiti-13599	293	11	:	:	PUNCT
aiti-13599	293	12	f	f	X
aiti-13599	293	13	=	=	PRON
aiti-13599	293	14	{	{	PUNCT
aiti-13599	293	15	(	(	PUNCT
aiti-13599	293	16	q1	q1	PROPN
aiti-13599	293	17	,	,	PUNCT
aiti-13599	293	18	q2	q2	NOUN
aiti-13599	293	19	)	)	PUNCT
aiti-13599	293	20	∣	∣	PROPN
aiti-13599	293	21	q1	q1	PROPN
aiti-13599	293	22	∈	∈	PROPN
aiti-13599	293	23	f1	f1	NOUN
aiti-13599	293	24	and	and	CCONJ
aiti-13599	293	25	q2	q2	PROPN
aiti-13599	293	26	∈	∈	PROPN
aiti-13599	293	27	f2	f2	PROPN
aiti-13599	293	28	}	}	PUNCT
aiti-13599	293	29	,	,	PUNCT
aiti-13599	293	30	where	where	SCONJ
aiti-13599	293	31	f1	f1	NOUN
aiti-13599	293	32	=	=	PUNCT
aiti-13599	293	33	{	{	PUNCT
aiti-13599	293	34	a	a	NOUN
aiti-13599	293	35	}	}	PUNCT
aiti-13599	293	36	and	and	CCONJ
aiti-13599	293	37	f2	f2	PROPN
aiti-13599	293	38	=	=	SYM
aiti-13599	293	39	{	{	PUNCT
aiti-13599	293	40	c	c	NOUN
aiti-13599	293	41	}	}	PUNCT
aiti-13599	293	42	.	.	PUNCT
aiti-13599	294	1	(	(	PUNCT
aiti-13599	294	2	7	7	X
aiti-13599	294	3	)	)	PUNCT
aiti-13599	294	4	construct	construct	VERB
aiti-13599	294	5	product	product	NOUN
aiti-13599	294	6	automaton	automaton	NOUN
aiti-13599	294	7	:	:	PUNCT
aiti-13599	294	8	combine	combine	VERB
aiti-13599	294	9	state	state	NOUN
aiti-13599	294	10	space	space	NOUN
aiti-13599	294	11	,	,	PUNCT
aiti-13599	294	12	input	input	NOUN
aiti-13599	294	13	alphabet	alphabet	NOUN
aiti-13599	294	14	,	,	PUNCT
aiti-13599	294	15	transition	transition	NOUN
aiti-13599	294	16	function	function	NOUN
aiti-13599	294	17	,	,	PUNCT
aiti-13599	294	18	initial	initial	ADJ
aiti-13599	294	19	state	state	NOUN
aiti-13599	294	20	,	,	PUNCT
aiti-13599	294	21	and	and	CCONJ
aiti-13599	294	22	accepting	accept	VERB
aiti-13599	294	23	states	state	NOUN
aiti-13599	294	24	to	to	PART
aiti-13599	294	25	create	create	VERB
aiti-13599	294	26	the	the	DET
aiti-13599	294	27	product	product	NOUN
aiti-13599	294	28	automaton	automaton	NOUN
aiti-13599	294	29	representing	represent	VERB
aiti-13599	294	30	the	the	DET
aiti-13599	294	31	synchronized	synchronize	VERB
aiti-13599	294	32	behavior	behavior	NOUN
aiti-13599	294	33	of	of	ADP
aiti-13599	294	34	fa1	fa1	NOUN
aiti-13599	294	35	and	and	CCONJ
aiti-13599	294	36	fa2	fa2	PROPN
aiti-13599	294	37	,	,	PUNCT
aiti-13599	294	38	as	as	SCONJ
aiti-13599	294	39	depicted	depict	VERB
aiti-13599	294	40	in	in	ADP
aiti-13599	294	41	fig	fig	NOUN
aiti-13599	294	42	.	.	PUNCT
aiti-13599	295	1	19	19	NUM
aiti-13599	295	2	.	.	PUNCT
aiti-13599	296	1	the	the	DET
aiti-13599	296	2	product	product	NOUN
aiti-13599	296	3	automata	automata	NOUN
aiti-13599	296	4	faproduct	faproduct	NOUN
aiti-13599	296	5	will	will	AUX
aiti-13599	296	6	accept	accept	VERB
aiti-13599	296	7	strings	string	NOUN
aiti-13599	296	8	where	where	SCONJ
aiti-13599	296	9	both	both	CCONJ
aiti-13599	296	10	the	the	DET
aiti-13599	296	11	number	number	NOUN
aiti-13599	296	12	of	of	ADP
aiti-13599	296	13	‘	'	PUNCT
aiti-13599	296	14	a	a	PRON
aiti-13599	296	15	’s	’s	ADJ
aiti-13599	296	16	and	and	CCONJ
aiti-13599	296	17	‘	'	PUNCT
aiti-13599	296	18	b	b	X
aiti-13599	296	19	’s	’s	NOUN
aiti-13599	296	20	are	be	AUX
aiti-13599	296	21	even	even	ADV
aiti-13599	296	22	:	:	PUNCT
aiti-13599	296	23	l	l	NOUN
aiti-13599	296	24	=	=	SYM
aiti-13599	296	25	l1	l1	PROPN
aiti-13599	296	26	∩	∩	ADJ
aiti-13599	296	27	l2	l2	NOUN
aiti-13599	296	28	=	=	SYM
aiti-13599	296	29	{	{	PUNCT
aiti-13599	296	30	w	w	PROPN
aiti-13599	296	31	∈	∈	PROPN
aiti-13599	296	32	{	{	PUNCT
aiti-13599	296	33	a	a	PROPN
aiti-13599	296	34	,	,	PUNCT
aiti-13599	296	35	b	b	NOUN
aiti-13599	296	36	}	}	PUNCT
aiti-13599	296	37	∗	∗	NOUN
aiti-13599	296	38	∣	∣	PROPN
aiti-13599	296	39	na(w	na(w	NOUN
aiti-13599	296	40	)	)	PUNCT
aiti-13599	296	41	is	be	AUX
aiti-13599	296	42	even	even	ADV
aiti-13599	296	43	and	and	CCONJ
aiti-13599	296	44	nb(w	nb(w	NOUN
aiti-13599	296	45	)	)	PUNCT
aiti-13599	296	46	is	be	AUX
aiti-13599	296	47	even	even	ADV
aiti-13599	296	48	}	}	PUNCT
aiti-13599	296	49	.	.	PUNCT
aiti-13599	297	1	fig	fig	NOUN
aiti-13599	297	2	.	.	PUNCT
aiti-13599	298	1	19	19	NUM
aiti-13599	298	2	product	product	NOUN
aiti-13599	298	3	automata	automata	NOUN
aiti-13599	298	4	for	for	ADP
aiti-13599	298	5	even	even	ADV
aiti-13599	298	6	occurrences	occurrence	NOUN
aiti-13599	298	7	of	of	ADP
aiti-13599	298	8	‘	'	PUNCT
aiti-13599	298	9	a	a	DET
aiti-13599	298	10	’	'	PUNCT
aiti-13599	298	11	and	and	CCONJ
aiti-13599	298	12	‘	'	PUNCT
aiti-13599	298	13	b	b	X
aiti-13599	298	14	’	'	PUNCT
aiti-13599	298	15	end	end	NOUN
aiti-13599	298	16	of	of	ADP
aiti-13599	298	17	example	example	NOUN
aiti-13599	298	18	5	5	NUM
aiti-13599	298	19	example	example	NOUN
aiti-13599	298	20	6	6	NUM
aiti-13599	298	21	:	:	PUNCT
aiti-13599	298	22	consider	consider	VERB
aiti-13599	298	23	the	the	DET
aiti-13599	298	24	two	two	NUM
aiti-13599	298	25	finite	finite	ADJ
aiti-13599	298	26	automata	automata	NOUN
aiti-13599	298	27	fa1	fa1	NOUN
aiti-13599	298	28	and	and	CCONJ
aiti-13599	298	29	fa2	fa2	PROPN
aiti-13599	298	30	,	,	PUNCT
aiti-13599	298	31	over	over	ADP
aiti-13599	298	32	the	the	DET
aiti-13599	298	33	alphabet	alphabet	NOUN
aiti-13599	298	34	{	{	PUNCT
aiti-13599	298	35	a	a	PROPN
aiti-13599	298	36	,	,	PUNCT
aiti-13599	298	37	b	b	NOUN
aiti-13599	298	38	}	}	PUNCT
aiti-13599	298	39	,	,	PUNCT
aiti-13599	298	40	recognizing	recognize	VERB
aiti-13599	298	41	the	the	DET
aiti-13599	298	42	following	follow	VERB
aiti-13599	298	43	languages	language	NOUN
aiti-13599	298	44	:	:	PUNCT
aiti-13599	298	45	fa1	fa1	NOUN
aiti-13599	298	46	:	:	PUNCT
aiti-13599	298	47	l1	l1	PROPN
aiti-13599	298	48	=	=	PUNCT
aiti-13599	298	49	{	{	PUNCT
aiti-13599	298	50	w	w	PROPN
aiti-13599	298	51	∈	∈	PROPN
aiti-13599	298	52	{	{	PUNCT
aiti-13599	298	53	a	a	PROPN
aiti-13599	298	54	,	,	PUNCT
aiti-13599	298	55	b	b	NOUN
aiti-13599	298	56	}	}	PUNCT
aiti-13599	298	57	∗	∗	NOUN
aiti-13599	298	58	∣	∣	NUM
aiti-13599	298	59	na(w	na(w	NOUN
aiti-13599	298	60	)	)	PUNCT
aiti-13599	298	61	mod	mod	NOUN
aiti-13599	298	62	4	4	NUM
aiti-13599	298	63	=	=	SYM
aiti-13599	298	64	0	0	NUM
aiti-13599	298	65	}	}	PUNCT
aiti-13599	298	66	fa2	fa2	VERB
aiti-13599	298	67	:	:	PUNCT
aiti-13599	298	68	l2	l2	NOUN
aiti-13599	298	69	=	=	SYM
aiti-13599	298	70	{	{	PUNCT
aiti-13599	298	71	w	w	PROPN
aiti-13599	298	72	∈	∈	PROPN
aiti-13599	298	73	{	{	PUNCT
aiti-13599	298	74	a	a	PROPN
aiti-13599	298	75	,	,	PUNCT
aiti-13599	298	76	b	b	NOUN
aiti-13599	298	77	}	}	PUNCT
aiti-13599	298	78	∗	∗	PROPN
aiti-13599	298	79	∣	∣	NUM
aiti-13599	298	80	nb(w	nb(w	NOUN
aiti-13599	298	81	)	)	PUNCT
aiti-13599	298	82	mod	mod	NOUN
aiti-13599	298	83	3	3	NUM
aiti-13599	298	84	=	=	SYM
aiti-13599	298	85	0	0	NUM
aiti-13599	298	86	}	}	PUNCT
aiti-13599	298	87	(	(	PUNCT
aiti-13599	298	88	1	1	X
aiti-13599	298	89	)	)	PUNCT
aiti-13599	298	90	define	define	VERB
aiti-13599	298	91	finite	finite	ADJ
aiti-13599	298	92	automata	automata	NOUN
aiti-13599	298	93	:	:	PUNCT
aiti-13599	298	94	let	let	VERB
aiti-13599	298	95	fa1	fa1	NOUN
aiti-13599	298	96	represent	represent	VERB
aiti-13599	298	97	the	the	DET
aiti-13599	298	98	finite	finite	ADJ
aiti-13599	298	99	automaton	automaton	NOUN
aiti-13599	298	100	for	for	ADP
aiti-13599	298	101	the	the	DET
aiti-13599	298	102	language	language	NOUN
aiti-13599	298	103	where	where	SCONJ
aiti-13599	298	104	the	the	DET
aiti-13599	298	105	number	number	NOUN
aiti-13599	298	106	of	of	ADP
aiti-13599	298	107	occurrences	occurrence	NOUN
aiti-13599	298	108	of	of	ADP
aiti-13599	298	109	252	252	NUM
aiti-13599	298	110	advances	advance	NOUN
aiti-13599	298	111	in	in	ADP
aiti-13599	298	112	technology	technology	NOUN
aiti-13599	298	113	innovation	innovation	NOUN
aiti-13599	298	114	,	,	PUNCT
aiti-13599	298	115	vol	vol	NOUN
aiti-13599	298	116	.	.	PROPN
aiti-13599	298	117	9	9	NUM
aiti-13599	298	118	,	,	PUNCT
aiti-13599	298	119	no	no	INTJ
aiti-13599	298	120	.	.	NOUN
aiti-13599	298	121	3	3	NUM
aiti-13599	298	122	,	,	PUNCT
aiti-13599	298	123	2024	2024	NUM
aiti-13599	298	124	,	,	PUNCT
aiti-13599	298	125	pp	pp	ADV
aiti-13599	298	126	.	.	PUNCT
aiti-13599	299	1	239	239	NUM
aiti-13599	299	2	-	-	SYM
aiti-13599	299	3	255	255	NUM
aiti-13599	299	4	‘	'	PUNCT
aiti-13599	299	5	a	a	PRON
aiti-13599	299	6	’	'	PUNCT
aiti-13599	299	7	is	be	AUX
aiti-13599	299	8	divisible	divisible	ADJ
aiti-13599	299	9	by	by	ADP
aiti-13599	299	10	4	4	NUM
aiti-13599	299	11	,	,	PUNCT
aiti-13599	299	12	and	and	CCONJ
aiti-13599	299	13	fa2	fa2	NOUN
aiti-13599	299	14	represent	represent	VERB
aiti-13599	299	15	the	the	DET
aiti-13599	299	16	finite	finite	ADJ
aiti-13599	299	17	automaton	automaton	NOUN
aiti-13599	299	18	for	for	ADP
aiti-13599	299	19	the	the	DET
aiti-13599	299	20	language	language	NOUN
aiti-13599	299	21	where	where	SCONJ
aiti-13599	299	22	the	the	DET
aiti-13599	299	23	number	number	NOUN
aiti-13599	299	24	of	of	ADP
aiti-13599	299	25	occurrences	occurrence	NOUN
aiti-13599	299	26	of	of	ADP
aiti-13599	299	27	‘	'	PUNCT
aiti-13599	299	28	b	b	X
aiti-13599	299	29	’	'	PUNCT
aiti-13599	299	30	is	be	AUX
aiti-13599	299	31	divisible	divisible	ADJ
aiti-13599	299	32	by	by	ADP
aiti-13599	299	33	3	3	NUM
aiti-13599	299	34	.	.	PUNCT
aiti-13599	299	35	refer	refer	VERB
aiti-13599	299	36	to	to	ADP
aiti-13599	299	37	fig	fig	NOUN
aiti-13599	299	38	.	.	PUNCT
aiti-13599	300	1	20	20	NUM
aiti-13599	300	2	and	and	CCONJ
aiti-13599	300	3	fig	fig	NOUN
aiti-13599	300	4	.	.	PUNCT
aiti-13599	301	1	21	21	NUM
aiti-13599	301	2	for	for	ADP
aiti-13599	301	3	visual	visual	ADJ
aiti-13599	301	4	representations	representation	NOUN
aiti-13599	301	5	of	of	ADP
aiti-13599	301	6	fa1	fa1	NOUN
aiti-13599	301	7	and	and	CCONJ
aiti-13599	301	8	fa2	fa2	PROPN
aiti-13599	301	9	,	,	PUNCT
aiti-13599	301	10	respectively	respectively	ADV
aiti-13599	301	11	.	.	PUNCT
aiti-13599	302	1	fig	fig	NOUN
aiti-13599	302	2	.	.	PUNCT
aiti-13599	303	1	20	20	NUM
aiti-13599	303	2	finite	finite	PROPN
aiti-13599	303	3	automata	automata	VERB
aiti-13599	303	4	fa1	fa1	NOUN
aiti-13599	303	5	with	with	ADP
aiti-13599	303	6	‘	'	PUNCT
aiti-13599	303	7	a	a	DET
aiti-13599	303	8	’	'	PUNCT
aiti-13599	303	9	occurrences	occurrence	NOUN
aiti-13599	303	10	divisible	divisible	ADJ
aiti-13599	303	11	by	by	ADP
aiti-13599	303	12	4	4	NUM
aiti-13599	303	13	fig	fig	NOUN
aiti-13599	303	14	.	.	PUNCT
aiti-13599	304	1	21	21	NUM
aiti-13599	304	2	finite	finite	PROPN
aiti-13599	304	3	automata	automata	NOUN
aiti-13599	304	4	fa2	fa2	NOUN
aiti-13599	304	5	with	with	ADP
aiti-13599	304	6	‘	'	PUNCT
aiti-13599	304	7	b	b	X
aiti-13599	304	8	’	'	PUNCT
aiti-13599	304	9	occurrences	occurrence	NOUN
aiti-13599	304	10	divisible	divisible	ADJ
aiti-13599	304	11	by	by	ADP
aiti-13599	304	12	3	3	NUM
aiti-13599	304	13	(	(	PUNCT
aiti-13599	304	14	2	2	NUM
aiti-13599	304	15	)	)	PUNCT
aiti-13599	304	16	determine	determine	VERB
aiti-13599	304	17	state	state	NOUN
aiti-13599	304	18	space	space	NOUN
aiti-13599	304	19	:	:	PUNCT
aiti-13599	304	20	combine	combine	VERB
aiti-13599	304	21	the	the	DET
aiti-13599	304	22	state	state	NOUN
aiti-13599	304	23	spaces	space	VERB
aiti-13599	304	24	to	to	PART
aiti-13599	304	25	obtain	obtain	VERB
aiti-13599	304	26	q	q	NOUN
aiti-13599	304	27	=	=	PUNCT
aiti-13599	304	28	{	{	PUNCT
aiti-13599	304	29	a	a	PRON
aiti-13599	304	30	,	,	PUNCT
aiti-13599	304	31	b	b	NOUN
aiti-13599	304	32	,	,	PUNCT
aiti-13599	304	33	c	c	NOUN
aiti-13599	304	34	,	,	PUNCT
aiti-13599	304	35	d	d	NOUN
aiti-13599	304	36	}	}	PUNCT
aiti-13599	304	37	×	×	NOUN
aiti-13599	304	38	{	{	PUNCT
aiti-13599	304	39	e	e	NOUN
aiti-13599	304	40	,	,	PUNCT
aiti-13599	304	41	f	f	PROPN
aiti-13599	304	42	,	,	PUNCT
aiti-13599	304	43	g	g	NOUN
aiti-13599	304	44	}	}	PUNCT
aiti-13599	304	45	=	=	SYM
aiti-13599	304	46	{	{	PUNCT
aiti-13599	304	47	ae	ae	PROPN
aiti-13599	304	48	,	,	PUNCT
aiti-13599	304	49	af	af	PROPN
aiti-13599	304	50	,	,	PUNCT
aiti-13599	304	51	ag	ag	PROPN
aiti-13599	304	52	,	,	PUNCT
aiti-13599	304	53	be	be	AUX
aiti-13599	304	54	,	,	PUNCT
aiti-13599	304	55	bf	bf	INTJ
aiti-13599	304	56	,	,	PUNCT
aiti-13599	304	57	bg	bg	PROPN
aiti-13599	304	58	,	,	PUNCT
aiti-13599	304	59	ce	ce	PROPN
aiti-13599	304	60	,	,	PUNCT
aiti-13599	304	61	cf	cf	NOUN
aiti-13599	304	62	,	,	PUNCT
aiti-13599	304	63	cg	cg	NOUN
aiti-13599	304	64	,	,	PUNCT
aiti-13599	304	65	de	de	X
aiti-13599	304	66	,	,	PUNCT
aiti-13599	304	67	df	df	PROPN
aiti-13599	304	68	,	,	PUNCT
aiti-13599	304	69	dg	dg	PROPN
aiti-13599	304	70	}	}	PUNCT
aiti-13599	304	71	.	.	PUNCT
aiti-13599	305	1	(	(	PUNCT
aiti-13599	305	2	3	3	X
aiti-13599	305	3	)	)	PUNCT
aiti-13599	305	4	define	define	VERB
aiti-13599	305	5	input	input	NOUN
aiti-13599	305	6	alphabet	alphabet	NOUN
aiti-13599	305	7	:	:	PUNCT
aiti-13599	305	8	set	set	VERB
aiti-13599	305	9	the	the	DET
aiti-13599	305	10	input	input	NOUN
aiti-13599	305	11	alphabet	alphabet	NOUN
aiti-13599	305	12	as	as	ADP
aiti-13599	305	13	σ	σ	PROPN
aiti-13599	305	14	=	=	PROPN
aiti-13599	305	15	{	{	PUNCT
aiti-13599	305	16	a	a	PRON
aiti-13599	305	17	,	,	PUNCT
aiti-13599	305	18	b	b	NOUN
aiti-13599	305	19	}	}	PUNCT
aiti-13599	305	20	.	.	PUNCT
aiti-13599	306	1	(	(	PUNCT
aiti-13599	306	2	4	4	X
aiti-13599	306	3	)	)	PUNCT
aiti-13599	306	4	determine	determine	VERB
aiti-13599	306	5	state	state	NOUN
aiti-13599	306	6	space	space	NOUN
aiti-13599	306	7	:	:	PUNCT
aiti-13599	306	8	define	define	VERB
aiti-13599	306	9	the	the	DET
aiti-13599	306	10	transition	transition	NOUN
aiti-13599	306	11	function	function	NOUN
aiti-13599	306	12	as	as	SCONJ
aiti-13599	306	13	follows	follow	VERB
aiti-13599	306	14	:	:	PUNCT
aiti-13599	306	15	δ((q1	δ((q1	NOUN
aiti-13599	306	16	,	,	PUNCT
aiti-13599	306	17	q2	q2	PROPN
aiti-13599	306	18	)	)	PUNCT
aiti-13599	306	19	,	,	PUNCT
aiti-13599	306	20	a	a	X
aiti-13599	306	21	)	)	PUNCT
aiti-13599	307	1	=	=	SYM
aiti-13599	307	2	(	(	PUNCT
aiti-13599	307	3	δ1(q1	δ1(q1	NOUN
aiti-13599	307	4	,	,	PUNCT
aiti-13599	307	5	a	a	PRON
aiti-13599	307	6	)	)	PUNCT
aiti-13599	307	7	,	,	PUNCT
aiti-13599	307	8	δ2(q2	δ2(q2	NOUN
aiti-13599	307	9	,	,	PUNCT
aiti-13599	307	10	a	a	PRON
aiti-13599	307	11	)	)	PUNCT
aiti-13599	307	12	)	)	PUNCT
aiti-13599	307	13	,	,	PUNCT
aiti-13599	307	14	δ((q1	δ((q1	NOUN
aiti-13599	307	15	,	,	PUNCT
aiti-13599	307	16	q2	q2	PROPN
aiti-13599	307	17	)	)	PUNCT
aiti-13599	307	18	,	,	PUNCT
aiti-13599	307	19	b	b	X
aiti-13599	307	20	)	)	PUNCT
aiti-13599	307	21	=	=	SYM
aiti-13599	307	22	(	(	PUNCT
aiti-13599	307	23	δ1(q1	δ1(q1	NOUN
aiti-13599	307	24	,	,	PUNCT
aiti-13599	307	25	b	b	NOUN
aiti-13599	307	26	)	)	PUNCT
aiti-13599	307	27	,	,	PUNCT
aiti-13599	307	28	δ2(q2	δ2(q2	NOUN
aiti-13599	307	29	,	,	PUNCT
aiti-13599	307	30	b	b	NOUN
aiti-13599	307	31	)	)	PUNCT
aiti-13599	307	32	)	)	PUNCT
aiti-13599	307	33	refer	refer	VERB
aiti-13599	307	34	to	to	ADP
aiti-13599	307	35	fig	fig	NOUN
aiti-13599	307	36	.	.	PUNCT
aiti-13599	308	1	22	22	NUM
aiti-13599	309	1	for	for	ADP
aiti-13599	309	2	a	a	DET
aiti-13599	309	3	visual	visual	ADJ
aiti-13599	309	4	representation	representation	NOUN
aiti-13599	309	5	of	of	ADP
aiti-13599	309	6	the	the	DET
aiti-13599	309	7	transition	transition	NOUN
aiti-13599	309	8	function	function	NOUN
aiti-13599	309	9	.	.	PUNCT
aiti-13599	310	1	fig	fig	NOUN
aiti-13599	310	2	.	.	PUNCT
aiti-13599	311	1	22	22	NUM
aiti-13599	311	2	transition	transition	NOUN
aiti-13599	311	3	function	function	NOUN
aiti-13599	311	4	for	for	ADP
aiti-13599	311	5	product	product	NOUN
aiti-13599	311	6	automata	automata	NOUN
aiti-13599	311	7	with	with	ADP
aiti-13599	311	8	‘	'	PUNCT
aiti-13599	311	9	a	a	DET
aiti-13599	311	10	’	'	PUNCT
aiti-13599	311	11	'	'	PUNCT
aiti-13599	311	12	mod	mod	PROPN
aiti-13599	311	13	4	4	NUM
aiti-13599	311	14	=	=	SYM
aiti-13599	311	15	0	0	NUM
aiti-13599	311	16	and	and	CCONJ
aiti-13599	311	17	‘	'	PUNCT
aiti-13599	311	18	b	b	X
aiti-13599	311	19	’	'	PUNCT
aiti-13599	311	20	mod	mod	NOUN
aiti-13599	311	21	3	3	NUM
aiti-13599	311	22	=	=	SYM
aiti-13599	311	23	0	0	NUM
aiti-13599	311	24	(	(	PUNCT
aiti-13599	311	25	5	5	NUM
aiti-13599	311	26	)	)	PUNCT
aiti-13599	311	27	set	set	VERB
aiti-13599	311	28	initial	initial	ADJ
aiti-13599	311	29	state	state	NOUN
aiti-13599	311	30	:	:	PUNCT
aiti-13599	311	31	determine	determine	VERB
aiti-13599	311	32	the	the	DET
aiti-13599	311	33	initial	initial	ADJ
aiti-13599	311	34	state	state	NOUN
aiti-13599	311	35	as	as	ADP
aiti-13599	311	36	q0	q0	PROPN
aiti-13599	311	37	=	=	SYM
aiti-13599	311	38	(	(	PUNCT
aiti-13599	311	39	q01	q01	PROPN
aiti-13599	311	40	,	,	PUNCT
aiti-13599	311	41	q02	q02	PROPN
aiti-13599	311	42	)	)	PUNCT
aiti-13599	311	43	=	=	PRON
aiti-13599	311	44	(	(	PUNCT
aiti-13599	311	45	a	a	DET
aiti-13599	311	46	,	,	PUNCT
aiti-13599	311	47	e	e	NOUN
aiti-13599	311	48	)	)	PUNCT
aiti-13599	311	49	.	.	PUNCT
aiti-13599	312	1	(	(	PUNCT
aiti-13599	312	2	6	6	X
aiti-13599	312	3	)	)	PUNCT
aiti-13599	312	4	determine	determine	NOUN
aiti-13599	312	5	accepting	accept	VERB
aiti-13599	312	6	states	state	NOUN
aiti-13599	312	7	:	:	PUNCT
aiti-13599	312	8	using	use	VERB
aiti-13599	312	9	intersection	intersection	NOUN
aiti-13599	312	10	conditions	condition	NOUN
aiti-13599	312	11	:	:	PUNCT
aiti-13599	312	12	f	f	X
aiti-13599	312	13	=	=	PRON
aiti-13599	312	14	{	{	PUNCT
aiti-13599	312	15	(	(	PUNCT
aiti-13599	312	16	q1	q1	PROPN
aiti-13599	312	17	,	,	PUNCT
aiti-13599	312	18	q2	q2	NOUN
aiti-13599	312	19	)	)	PUNCT
aiti-13599	312	20	∣	∣	PROPN
aiti-13599	312	21	q1	q1	PROPN
aiti-13599	312	22	∈	∈	PROPN
aiti-13599	312	23	f1	f1	NOUN
aiti-13599	312	24	and	and	CCONJ
aiti-13599	312	25	q2	q2	PROPN
aiti-13599	312	26	∈	∈	PROPN
aiti-13599	312	27	f2	f2	PROPN
aiti-13599	312	28	}	}	PUNCT
aiti-13599	312	29	,	,	PUNCT
aiti-13599	312	30	where	where	SCONJ
aiti-13599	312	31	f1	f1	NOUN
aiti-13599	312	32	=	=	PUNCT
aiti-13599	312	33	{	{	PUNCT
aiti-13599	312	34	a	a	NOUN
aiti-13599	312	35	}	}	PUNCT
aiti-13599	312	36	and	and	CCONJ
aiti-13599	312	37	f2	f2	ADV
aiti-13599	312	38	=	=	SYM
aiti-13599	312	39	{	{	PUNCT
aiti-13599	312	40	e	e	NOUN
aiti-13599	312	41	}	}	PUNCT
aiti-13599	312	42	.	.	PUNCT
aiti-13599	313	1	(	(	PUNCT
aiti-13599	313	2	7	7	X
aiti-13599	313	3	)	)	PUNCT
aiti-13599	313	4	construct	construct	VERB
aiti-13599	313	5	product	product	NOUN
aiti-13599	313	6	automaton	automaton	NOUN
aiti-13599	313	7	:	:	PUNCT
aiti-13599	313	8	combine	combine	VERB
aiti-13599	313	9	state	state	NOUN
aiti-13599	313	10	space	space	NOUN
aiti-13599	313	11	,	,	PUNCT
aiti-13599	313	12	input	input	NOUN
aiti-13599	313	13	alphabet	alphabet	NOUN
aiti-13599	313	14	,	,	PUNCT
aiti-13599	313	15	transition	transition	NOUN
aiti-13599	313	16	function	function	NOUN
aiti-13599	313	17	,	,	PUNCT
aiti-13599	313	18	initial	initial	ADJ
aiti-13599	313	19	state	state	NOUN
aiti-13599	313	20	,	,	PUNCT
aiti-13599	313	21	and	and	CCONJ
aiti-13599	313	22	accepting	accept	VERB
aiti-13599	313	23	states	state	NOUN
aiti-13599	313	24	to	to	PART
aiti-13599	313	25	create	create	VERB
aiti-13599	313	26	the	the	DET
aiti-13599	313	27	product	product	NOUN
aiti-13599	313	28	automaton	automaton	NOUN
aiti-13599	313	29	representing	represent	VERB
aiti-13599	313	30	the	the	DET
aiti-13599	313	31	synchronized	synchronize	VERB
aiti-13599	313	32	behavior	behavior	NOUN
aiti-13599	313	33	of	of	ADP
aiti-13599	313	34	fa1	fa1	NOUN
aiti-13599	313	35	and	and	CCONJ
aiti-13599	313	36	fa2	fa2	PROPN
aiti-13599	313	37	,	,	PUNCT
aiti-13599	313	38	as	as	SCONJ
aiti-13599	313	39	depicted	depict	VERB
aiti-13599	313	40	in	in	ADP
aiti-13599	313	41	fig	fig	NOUN
aiti-13599	313	42	.	.	PUNCT
aiti-13599	314	1	23	23	NUM
aiti-13599	314	2	.	.	PUNCT
aiti-13599	315	1	product	product	NOUN
aiti-13599	315	2	automata	automata	NOUN
aiti-13599	315	3	faproduct	faproduct	NOUN
aiti-13599	315	4	will	will	AUX
aiti-13599	315	5	accept	accept	VERB
aiti-13599	315	6	strings	string	NOUN
aiti-13599	315	7	where	where	SCONJ
aiti-13599	315	8	both	both	DET
aiti-13599	315	9	numbers	number	NOUN
aiti-13599	315	10	of	of	ADP
aiti-13599	315	11	‘	'	PUNCT
aiti-13599	315	12	a	a	DET
aiti-13599	315	13	’s	’s	NOUN
aiti-13599	315	14	are	be	AUX
aiti-13599	315	15	divisible	divisible	ADJ
aiti-13599	315	16	by	by	ADP
aiti-13599	315	17	4	4	NUM
aiti-13599	315	18	and	and	CCONJ
aiti-13599	315	19	several	several	ADJ
aiti-13599	315	20	‘	'	PUNCT
aiti-13599	315	21	b	b	X
aiti-13599	315	22	’s	’s	NOUN
aiti-13599	315	23	is	be	AUX
aiti-13599	315	24	divisible	divisible	ADJ
aiti-13599	315	25	by	by	ADP
aiti-13599	315	26	3	3	NUM
aiti-13599	315	27	:	:	PUNCT
aiti-13599	315	28	l	l	NOUN
aiti-13599	315	29	=	=	PUNCT
aiti-13599	315	30	{	{	PUNCT
aiti-13599	315	31	w	w	PROPN
aiti-13599	315	32	∈	∈	PROPN
aiti-13599	315	33	{	{	PUNCT
aiti-13599	315	34	a	a	PROPN
aiti-13599	315	35	,	,	PUNCT
aiti-13599	315	36	b	b	NOUN
aiti-13599	315	37	}	}	PUNCT
aiti-13599	315	38	∗	∗	NOUN
aiti-13599	315	39	∣	∣	NUM
aiti-13599	315	40	na(w	na(w	NOUN
aiti-13599	315	41	)	)	PUNCT
aiti-13599	315	42	mod	mod	NOUN
aiti-13599	315	43	4	4	NUM
aiti-13599	315	44	=	=	SYM
aiti-13599	315	45	0	0	NUM
aiti-13599	315	46	and	and	CCONJ
aiti-13599	315	47	nb(w	nb(w	PROPN
aiti-13599	315	48	)	)	PUNCT
aiti-13599	315	49	mod	mod	NOUN
aiti-13599	315	50	3	3	NUM
aiti-13599	315	51	=	=	SYM
aiti-13599	315	52	0	0	NUM
aiti-13599	315	53	}	}	PUNCT
aiti-13599	315	54	end	end	NOUN
aiti-13599	315	55	of	of	ADP
aiti-13599	315	56	example	example	NOUN
aiti-13599	315	57	6	6	NUM
aiti-13599	315	58	advances	advance	NOUN
aiti-13599	315	59	in	in	ADP
aiti-13599	315	60	technology	technology	NOUN
aiti-13599	315	61	innovation	innovation	NOUN
aiti-13599	315	62	,	,	PUNCT
aiti-13599	315	63	vol	vol	NOUN
aiti-13599	315	64	.	.	PROPN
aiti-13599	316	1	9	9	NUM
aiti-13599	316	2	,	,	PUNCT
aiti-13599	316	3	no	no	INTJ
aiti-13599	316	4	.	.	NOUN
aiti-13599	316	5	3	3	NUM
aiti-13599	316	6	,	,	PUNCT
aiti-13599	316	7	2024	2024	NUM
aiti-13599	316	8	,	,	PUNCT
aiti-13599	316	9	pp	pp	ADV
aiti-13599	316	10	.	.	PUNCT
aiti-13599	317	1	239	239	NUM
aiti-13599	317	2	-	-	SYM
aiti-13599	317	3	255	255	NUM
aiti-13599	317	4	253	253	NUM
aiti-13599	317	5	fig	fig	NOUN
aiti-13599	317	6	.	.	PUNCT
aiti-13599	318	1	23	23	NUM
aiti-13599	318	2	product	product	NOUN
aiti-13599	318	3	automata	automata	NOUN
aiti-13599	318	4	for	for	ADP
aiti-13599	318	5	‘	'	PUNCT
aiti-13599	318	6	a	a	DET
aiti-13599	318	7	’	'	PUNCT
aiti-13599	318	8	mod	mod	NOUN
aiti-13599	318	9	4	4	NUM
aiti-13599	318	10	=	=	SYM
aiti-13599	318	11	0	0	NUM
aiti-13599	318	12	and	and	CCONJ
aiti-13599	318	13	‘	'	PUNCT
aiti-13599	318	14	b	b	X
aiti-13599	318	15	’	'	PUNCT
aiti-13599	318	16	mod	mod	NOUN
aiti-13599	318	17	3	3	NUM
aiti-13599	318	18	=	=	SYM
aiti-13599	318	19	0	0	NUM
aiti-13599	318	20	4	4	NUM
aiti-13599	318	21	.	.	PUNCT
aiti-13599	319	1	experimental	experimental	ADJ
aiti-13599	319	2	result	result	NOUN
aiti-13599	319	3	the	the	DET
aiti-13599	319	4	performance	performance	NOUN
aiti-13599	319	5	of	of	ADP
aiti-13599	319	6	this	this	DET
aiti-13599	319	7	developed	develop	VERB
aiti-13599	319	8	method	method	NOUN
aiti-13599	319	9	is	be	AUX
aiti-13599	319	10	compared	compare	VERB
aiti-13599	319	11	with	with	ADP
aiti-13599	319	12	other	other	ADJ
aiti-13599	319	13	conventional	conventional	ADJ
aiti-13599	319	14	techniques	technique	NOUN
aiti-13599	319	15	in	in	ADP
aiti-13599	319	16	terms	term	NOUN
aiti-13599	319	17	of	of	ADP
aiti-13599	319	18	construction	construction	NOUN
aiti-13599	319	19	time	time	NOUN
aiti-13599	319	20	,	,	PUNCT
aiti-13599	319	21	memory	memory	NOUN
aiti-13599	319	22	utilization	utilization	NOUN
aiti-13599	319	23	,	,	PUNCT
aiti-13599	319	24	scalability	scalability	NOUN
aiti-13599	319	25	,	,	PUNCT
aiti-13599	319	26	robustness	robustness	NOUN
aiti-13599	319	27	,	,	PUNCT
aiti-13599	319	28	application	application	NOUN
aiti-13599	319	29	range	range	NOUN
aiti-13599	319	30	,	,	PUNCT
aiti-13599	319	31	and	and	CCONJ
aiti-13599	319	32	complexity	complexity	NOUN
aiti-13599	319	33	measures	measure	NOUN
aiti-13599	319	34	available	available	ADJ
aiti-13599	319	35	in	in	ADP
aiti-13599	319	36	the	the	DET
aiti-13599	319	37	literature	literature	NOUN
aiti-13599	319	38	.	.	PUNCT
aiti-13599	320	1	time	time	NOUN
aiti-13599	320	2	complexity	complexity	NOUN
aiti-13599	320	3	is	be	AUX
aiti-13599	320	4	measured	measure	VERB
aiti-13599	320	5	by	by	ADP
aiti-13599	320	6	�	�	PROPN
aiti-13599	320	7	�	�	PROPN
aiti-13599	320	8	∗	∗	PROPN
aiti-13599	320	9	�	�	PROPN
aiti-13599	320	10	�	�	PROPN
aiti-13599	320	11	_	_	PROPN
aiti-13599	320	12	�	�	PROPN
aiti-13599	320	13	�	�	PROPN
aiti-13599	320	14	_	_	NOUN
aiti-13599	320	15	�	�	PROPN
aiti-13599	320	16	ℎ	ℎ	PROPN
aiti-13599	320	17	�	�	PROPN
aiti-13599	320	18	�	�	PROPN
aiti-13599	320	19	�	�	PROPN
aiti-13599	320	20	where	where	SCONJ
aiti-13599	320	21	is	be	AUX
aiti-13599	320	22	the	the	DET
aiti-13599	320	23	length	length	NOUN
aiti-13599	320	24	of	of	ADP
aiti-13599	320	25	the	the	DET
aiti-13599	320	26	pattern	pattern	NOUN
aiti-13599	320	27	and	and	CCONJ
aiti-13599	320	28	�	�	PROPN
aiti-13599	320	29	�	�	PROPN
aiti-13599	320	30	_	_	PROPN
aiti-13599	320	31	�	�	PROPN
aiti-13599	320	32	�	�	PROPN
aiti-13599	320	33	_	_	NOUN
aiti-13599	320	34	�	�	PROPN
aiti-13599	320	35	ℎ	ℎ	SYM
aiti-13599	320	36	�	�	PROPN
aiti-13599	320	37	�	�	PROPN
aiti-13599	320	38	is	be	AUX
aiti-13599	320	39	the	the	DET
aiti-13599	320	40	size	size	NOUN
aiti-13599	320	41	of	of	ADP
aiti-13599	320	42	the	the	DET
aiti-13599	320	43	alphabet	alphabet	PROPN
aiti-13599	320	44	.	.	PUNCT
aiti-13599	321	1	scalability	scalability	NOUN
aiti-13599	321	2	is	be	AUX
aiti-13599	321	3	measured	measure	VERB
aiti-13599	321	4	using	use	VERB
aiti-13599	321	5	�	�	PROPN
aiti-13599	321	6	∗	∗	NOUN
aiti-13599	321	7	�	�	PROPN
aiti-13599	321	8	�	�	PROPN
aiti-13599	321	9	technique	technique	NOUN
aiti-13599	321	10	[	[	X
aiti-13599	321	11	16	16	NUM
aiti-13599	321	12	]	]	PUNCT
aiti-13599	321	13	that	that	PRON
aiti-13599	321	14	is	be	AUX
aiti-13599	321	15	available	available	ADJ
aiti-13599	321	16	in	in	ADP
aiti-13599	321	17	the	the	DET
aiti-13599	321	18	literature	literature	NOUN
aiti-13599	321	19	.	.	PUNCT
aiti-13599	322	1	the	the	DET
aiti-13599	322	2	robustness	robustness	NOUN
aiti-13599	322	3	of	of	ADP
aiti-13599	322	4	the	the	DET
aiti-13599	322	5	algorithms	algorithms	NOUN
aiti-13599	322	6	is	be	AUX
aiti-13599	322	7	calculated	calculate	VERB
aiti-13599	322	8	by	by	ADP
aiti-13599	322	9	the	the	DET
aiti-13599	322	10	finite	finite	ADJ
aiti-13599	322	11	order	order	NOUN
aiti-13599	322	12	linear	linear	VERB
aiti-13599	322	13	time	time	NOUN
aiti-13599	322	14	-	-	PUNCT
aiti-13599	322	15	invariant	invariant	ADJ
aiti-13599	322	16	(	(	PUNCT
aiti-13599	322	17	lti	lti	PROPN
aiti-13599	322	18	)	)	PUNCT
aiti-13599	323	1	[	[	X
aiti-13599	323	2	17	17	NUM
aiti-13599	323	3	]	]	PUNCT
aiti-13599	323	4	model	model	NOUN
aiti-13599	323	5	found	find	VERB
aiti-13599	323	6	in	in	ADP
aiti-13599	323	7	the	the	DET
aiti-13599	323	8	literature	literature	NOUN
aiti-13599	323	9	.	.	PUNCT
aiti-13599	324	1	this	this	DET
aiti-13599	324	2	study	study	NOUN
aiti-13599	324	3	assessed	assess	VERB
aiti-13599	324	4	grid	grid	NOUN
aiti-13599	324	5	and	and	CCONJ
aiti-13599	324	6	product	product	NOUN
aiti-13599	324	7	automata	automata	NOUN
aiti-13599	324	8	techniques	technique	NOUN
aiti-13599	324	9	for	for	ADP
aiti-13599	324	10	finite	finite	ADJ
aiti-13599	324	11	automata	automata	NOUN
aiti-13599	324	12	construction	construction	NOUN
aiti-13599	324	13	,	,	PUNCT
aiti-13599	324	14	focusing	focus	VERB
aiti-13599	324	15	on	on	ADP
aiti-13599	324	16	accuracy	accuracy	NOUN
aiti-13599	324	17	,	,	PUNCT
aiti-13599	324	18	precision	precision	NOUN
aiti-13599	324	19	,	,	PUNCT
aiti-13599	324	20	and	and	CCONJ
aiti-13599	324	21	computational	computational	ADJ
aiti-13599	324	22	efficiency	efficiency	NOUN
aiti-13599	324	23	across	across	ADP
aiti-13599	324	24	scenarios	scenario	NOUN
aiti-13599	324	25	.	.	PUNCT
aiti-13599	325	1	results	result	NOUN
aiti-13599	325	2	show	show	VERB
aiti-13599	325	3	significant	significant	ADJ
aiti-13599	325	4	improvements	improvement	NOUN
aiti-13599	325	5	over	over	ADP
aiti-13599	325	6	conventional	conventional	ADJ
aiti-13599	325	7	methods	method	NOUN
aiti-13599	325	8	by	by	ADP
aiti-13599	325	9	following	follow	VERB
aiti-13599	325	10	in	in	ADP
aiti-13599	325	11	table	table	NOUN
aiti-13599	325	12	2	2	NUM
aiti-13599	325	13	,	,	PUNCT
aiti-13599	325	14	rated	rate	VERB
aiti-13599	325	15	on	on	ADP
aiti-13599	325	16	a	a	DET
aiti-13599	325	17	scale	scale	NOUN
aiti-13599	325	18	of	of	ADP
aiti-13599	325	19	0	0	NUM
aiti-13599	325	20	to	to	PART
aiti-13599	325	21	100	100	NUM
aiti-13599	325	22	%	%	NOUN
aiti-13599	325	23	.	.	PUNCT
aiti-13599	326	1	higher	high	ADJ
aiti-13599	326	2	values	value	NOUN
aiti-13599	326	3	indicate	indicate	VERB
aiti-13599	326	4	better	well	ADJ
aiti-13599	326	5	scalability	scalability	NOUN
aiti-13599	326	6	,	,	PUNCT
aiti-13599	326	7	robustness	robustness	NOUN
aiti-13599	326	8	,	,	PUNCT
aiti-13599	326	9	and	and	CCONJ
aiti-13599	326	10	application	application	NOUN
aiti-13599	326	11	range	range	NOUN
aiti-13599	326	12	,	,	PUNCT
aiti-13599	326	13	while	while	SCONJ
aiti-13599	326	14	lower	low	ADJ
aiti-13599	326	15	values	value	NOUN
aiti-13599	326	16	are	be	AUX
aiti-13599	326	17	preferred	prefer	VERB
aiti-13599	326	18	for	for	ADP
aiti-13599	326	19	construction	construction	NOUN
aiti-13599	326	20	time	time	NOUN
aiti-13599	326	21	,	,	PUNCT
aiti-13599	326	22	memory	memory	NOUN
aiti-13599	326	23	usage	usage	NOUN
aiti-13599	326	24	,	,	PUNCT
aiti-13599	326	25	and	and	CCONJ
aiti-13599	326	26	complexity	complexity	NOUN
aiti-13599	326	27	.	.	PUNCT
aiti-13599	327	1	this	this	DET
aiti-13599	327	2	comparison	comparison	NOUN
aiti-13599	327	3	is	be	AUX
aiti-13599	327	4	based	base	VERB
aiti-13599	327	5	on	on	ADP
aiti-13599	327	6	experiments	experiment	NOUN
aiti-13599	327	7	with	with	ADP
aiti-13599	327	8	finite	finite	ADJ
aiti-13599	327	9	automata	automata	NOUN
aiti-13599	327	10	-	-	PUNCT
aiti-13599	327	11	related	relate	VERB
aiti-13599	327	12	datasets	dataset	NOUN
aiti-13599	327	13	.	.	PUNCT
aiti-13599	328	1	table	table	NOUN
aiti-13599	328	2	2	2	NUM
aiti-13599	328	3	comparison	comparison	NOUN
aiti-13599	328	4	of	of	ADP
aiti-13599	328	5	the	the	DET
aiti-13599	328	6	developed	develop	VERB
aiti-13599	328	7	technique	technique	NOUN
aiti-13599	328	8	with	with	ADP
aiti-13599	328	9	conventional	conventional	ADJ
aiti-13599	328	10	methods	method	NOUN
aiti-13599	328	11	criteria	criterion	NOUN
aiti-13599	328	12	developedevelope	developedevelope	NOUN
aiti-13599	328	13	techniques	technique	VERB
aiti-13599	328	14	conventional	conventional	ADJ
aiti-13599	328	15	methods	method	NOUN
aiti-13599	328	16	improvement	improvement	NOUN
aiti-13599	328	17	construction	construction	NOUN
aiti-13599	328	18	time	time	NOUN
aiti-13599	328	19	90	90	NUM
aiti-13599	328	20	%	%	NOUN
aiti-13599	328	21	40	40	NUM
aiti-13599	328	22	%	%	NOUN
aiti-13599	328	23	50	50	NUM
aiti-13599	328	24	%	%	NOUN
aiti-13599	328	25	memory	memory	NOUN
aiti-13599	328	26	utilization	utilization	NOUN
aiti-13599	328	27	80	80	NUM
aiti-13599	328	28	%	%	NOUN
aiti-13599	328	29	30	30	NUM
aiti-13599	328	30	%	%	NOUN
aiti-13599	328	31	50	50	NUM
aiti-13599	328	32	%	%	NOUN
aiti-13599	328	33	scalability	scalability	NOUN
aiti-13599	328	34	95	95	NUM
aiti-13599	328	35	%	%	NOUN
aiti-13599	328	36	50	50	NUM
aiti-13599	328	37	%	%	NOUN
aiti-13599	328	38	45	45	NUM
aiti-13599	328	39	%	%	NOUN
aiti-13599	328	40	robustness	robustness	NOUN
aiti-13599	328	41	90	90	NUM
aiti-13599	328	42	%	%	NOUN
aiti-13599	328	43	60	60	NUM
aiti-13599	328	44	%	%	NOUN
aiti-13599	328	45	30	30	NUM
aiti-13599	328	46	%	%	NOUN
aiti-13599	328	47	application	application	NOUN
aiti-13599	328	48	range	range	NOUN
aiti-13599	328	49	95	95	NUM
aiti-13599	328	50	%	%	NOUN
aiti-13599	328	51	40	40	NUM
aiti-13599	328	52	%	%	NOUN
aiti-13599	328	53	55	55	NUM
aiti-13599	328	54	%	%	NOUN
aiti-13599	328	55	complexity	complexity	NOUN
aiti-13599	328	56	85	85	NUM
aiti-13599	328	57	%	%	NOUN
aiti-13599	328	58	60	60	NUM
aiti-13599	328	59	%	%	NOUN
aiti-13599	328	60	25	25	NUM
aiti-13599	328	61	%	%	NOUN
aiti-13599	328	62	fig	fig	NOUN
aiti-13599	328	63	.	.	PUNCT
aiti-13599	329	1	24	24	NUM
aiti-13599	329	2	shows	show	VERB
aiti-13599	329	3	a	a	DET
aiti-13599	329	4	detailed	detailed	ADJ
aiti-13599	329	5	performance	performance	NOUN
aiti-13599	329	6	metrics	metric	NOUN
aiti-13599	329	7	comparison	comparison	NOUN
aiti-13599	329	8	between	between	ADP
aiti-13599	329	9	the	the	DET
aiti-13599	329	10	developed	develop	VERB
aiti-13599	329	11	techniques	technique	NOUN
aiti-13599	329	12	and	and	CCONJ
aiti-13599	329	13	conventional	conventional	ADJ
aiti-13599	329	14	methods	method	NOUN
aiti-13599	329	15	.	.	PUNCT
aiti-13599	330	1	the	the	DET
aiti-13599	330	2	developed	develop	VERB
aiti-13599	330	3	techniques	technique	NOUN
aiti-13599	330	4	show	show	VERB
aiti-13599	330	5	a	a	DET
aiti-13599	330	6	50	50	NUM
aiti-13599	330	7	%	%	NOUN
aiti-13599	330	8	improvement	improvement	NOUN
aiti-13599	330	9	in	in	ADP
aiti-13599	330	10	construction	construction	NOUN
aiti-13599	330	11	time	time	NOUN
aiti-13599	330	12	to	to	PART
aiti-13599	330	13	build	build	VERB
aiti-13599	330	14	automata	automata	NOUN
aiti-13599	330	15	,	,	PUNCT
aiti-13599	330	16	which	which	PRON
aiti-13599	330	17	can	can	AUX
aiti-13599	330	18	be	be	AUX
aiti-13599	330	19	highly	highly	ADV
aiti-13599	330	20	effective	effective	ADJ
aiti-13599	330	21	.	.	PUNCT
aiti-13599	331	1	memory	memory	NOUN
aiti-13599	331	2	usage	usage	NOUN
aiti-13599	331	3	also	also	ADV
aiti-13599	331	4	has	have	AUX
aiti-13599	331	5	been	be	AUX
aiti-13599	331	6	improved	improve	VERB
aiti-13599	331	7	by	by	ADP
aiti-13599	331	8	50	50	NUM
aiti-13599	331	9	%	%	NOUN
aiti-13599	331	10	,	,	PUNCT
aiti-13599	331	11	demonstrating	demonstrate	VERB
aiti-13599	331	12	better	well	ADJ
aiti-13599	331	13	resource	resource	NOUN
aiti-13599	331	14	utilization	utilization	NOUN
aiti-13599	331	15	.	.	PUNCT
aiti-13599	332	1	the	the	DET
aiti-13599	332	2	experiments	experiment	NOUN
aiti-13599	332	3	result	result	VERB
aiti-13599	332	4	in	in	ADP
aiti-13599	332	5	up	up	ADP
aiti-13599	332	6	to	to	PART
aiti-13599	332	7	45	45	NUM
aiti-13599	332	8	%	%	NOUN
aiti-13599	332	9	improvement	improvement	NOUN
aiti-13599	332	10	in	in	ADP
aiti-13599	332	11	scalability	scalability	NOUN
aiti-13599	332	12	demonstrating	demonstrating	NOUN
aiti-13599	332	13	that	that	SCONJ
aiti-13599	332	14	overall	overall	ADV
aiti-13599	332	15	larger	large	ADJ
aiti-13599	332	16	and	and	CCONJ
aiti-13599	332	17	more	more	ADV
aiti-13599	332	18	complicated	complicated	ADJ
aiti-13599	332	19	automata	automata	NOUN
aiti-13599	332	20	can	can	AUX
aiti-13599	332	21	be	be	AUX
aiti-13599	332	22	handled	handle	VERB
aiti-13599	332	23	by	by	ADP
aiti-13599	332	24	the	the	DET
aiti-13599	332	25	derived	derive	VERB
aiti-13599	332	26	methods	method	NOUN
aiti-13599	332	27	.	.	PUNCT
aiti-13599	333	1	robustness	robustness	NOUN
aiti-13599	333	2	can	can	AUX
aiti-13599	333	3	be	be	AUX
aiti-13599	333	4	quantitatively	quantitatively	ADV
aiti-13599	333	5	measured	measure	VERB
aiti-13599	333	6	to	to	PART
aiti-13599	333	7	evaluate	evaluate	VERB
aiti-13599	333	8	how	how	SCONJ
aiti-13599	333	9	stable	stable	ADJ
aiti-13599	333	10	and	and	CCONJ
aiti-13599	333	11	reliable	reliable	ADJ
aiti-13599	333	12	the	the	DET
aiti-13599	333	13	methods	method	NOUN
aiti-13599	333	14	are	be	AUX
aiti-13599	333	15	,	,	PUNCT
aiti-13599	333	16	which	which	PRON
aiti-13599	333	17	could	could	AUX
aiti-13599	333	18	be	be	AUX
aiti-13599	333	19	improved	improve	VERB
aiti-13599	333	20	by	by	ADP
aiti-13599	333	21	30	30	NUM
aiti-13599	333	22	%	%	NOUN
aiti-13599	333	23	.	.	PUNCT
aiti-13599	334	1	the	the	DET
aiti-13599	334	2	increase	increase	NOUN
aiti-13599	334	3	in	in	ADP
aiti-13599	334	4	the	the	DET
aiti-13599	334	5	application	application	NOUN
aiti-13599	334	6	range	range	NOUN
aiti-13599	334	7	is	be	AUX
aiti-13599	334	8	55	55	NUM
aiti-13599	334	9	%	%	NOUN
aiti-13599	334	10	which	which	PRON
aiti-13599	334	11	indicates	indicate	VERB
aiti-13599	334	12	that	that	SCONJ
aiti-13599	334	13	techniques	technique	NOUN
aiti-13599	334	14	are	be	AUX
aiti-13599	334	15	applicable	applicable	ADJ
aiti-13599	334	16	in	in	ADP
aiti-13599	334	17	a	a	DET
aiti-13599	334	18	moderate	moderate	ADJ
aiti-13599	334	19	number	number	NOUN
aiti-13599	334	20	of	of	ADP
aiti-13599	334	21	scenarios	scenario	NOUN
aiti-13599	334	22	.	.	PUNCT
aiti-13599	335	1	lastly	lastly	ADV
aiti-13599	335	2	,	,	PUNCT
aiti-13599	335	3	these	these	DET
aiti-13599	335	4	approaches	approach	NOUN
aiti-13599	335	5	reduce	reduce	VERB
aiti-13599	335	6	complexity	complexity	NOUN
aiti-13599	335	7	by	by	ADP
aiti-13599	335	8	25	25	NUM
aiti-13599	335	9	%	%	NOUN
aiti-13599	335	10	more	more	ADJ
aiti-13599	335	11	than	than	ADP
aiti-13599	335	12	existing	exist	VERB
aiti-13599	335	13	traditional	traditional	ADJ
aiti-13599	335	14	methods	method	NOUN
aiti-13599	335	15	and	and	CCONJ
aiti-13599	335	16	are	be	AUX
aiti-13599	335	17	easier	easy	ADJ
aiti-13599	335	18	to	to	PART
aiti-13599	335	19	deploy	deploy	VERB
aiti-13599	335	20	.	.	PUNCT
aiti-13599	336	1	254	254	NUM
aiti-13599	336	2	advances	advance	NOUN
aiti-13599	336	3	in	in	ADP
aiti-13599	336	4	technology	technology	NOUN
aiti-13599	336	5	innovation	innovation	NOUN
aiti-13599	336	6	,	,	PUNCT
aiti-13599	336	7	vol	vol	NOUN
aiti-13599	336	8	.	.	PROPN
aiti-13599	336	9	9	9	NUM
aiti-13599	336	10	,	,	PUNCT
aiti-13599	336	11	no	no	INTJ
aiti-13599	336	12	.	.	NOUN
aiti-13599	336	13	3	3	NUM
aiti-13599	336	14	,	,	PUNCT
aiti-13599	336	15	2024	2024	NUM
aiti-13599	336	16	,	,	PUNCT
aiti-13599	336	17	pp	pp	ADV
aiti-13599	336	18	.	.	PUNCT
aiti-13599	337	1	239	239	NUM
aiti-13599	337	2	-	-	SYM
aiti-13599	337	3	255	255	NUM
aiti-13599	337	4	fig	fig	NOUN
aiti-13599	337	5	.	.	PUNCT
aiti-13599	338	1	24	24	NUM
aiti-13599	338	2	graphical	graphical	ADJ
aiti-13599	338	3	representation	representation	NOUN
aiti-13599	338	4	of	of	ADP
aiti-13599	338	5	performance	performance	NOUN
aiti-13599	338	6	comparison	comparison	NOUN
aiti-13599	338	7	between	between	ADP
aiti-13599	338	8	developed	developed	ADJ
aiti-13599	338	9	and	and	CCONJ
aiti-13599	338	10	conventional	conventional	ADJ
aiti-13599	338	11	methods	method	NOUN
aiti-13599	338	12	5	5	NUM
aiti-13599	338	13	.	.	PUNCT
aiti-13599	338	14	conclusion	conclusion	NOUN
aiti-13599	338	15	in	in	ADP
aiti-13599	338	16	this	this	DET
aiti-13599	338	17	study	study	NOUN
aiti-13599	338	18	,	,	PUNCT
aiti-13599	338	19	the	the	DET
aiti-13599	338	20	exploration	exploration	NOUN
aiti-13599	338	21	was	be	AUX
aiti-13599	338	22	centered	center	VERB
aiti-13599	338	23	on	on	ADP
aiti-13599	338	24	elucidating	elucidate	VERB
aiti-13599	338	25	the	the	DET
aiti-13599	338	26	construction	construction	NOUN
aiti-13599	338	27	of	of	ADP
aiti-13599	338	28	finite	finite	ADJ
aiti-13599	338	29	automata	automata	NOUN
aiti-13599	338	30	using	use	VERB
aiti-13599	338	31	two	two	NUM
aiti-13599	338	32	distinct	distinct	ADJ
aiti-13599	338	33	methodologies	methodology	NOUN
aiti-13599	338	34	:	:	PUNCT
aiti-13599	338	35	grid	grid	NOUN
aiti-13599	338	36	automata	automata	NOUN
aiti-13599	338	37	uses	use	VERB
aiti-13599	338	38	a	a	DET
aiti-13599	338	39	structured	structured	ADJ
aiti-13599	338	40	grid	grid	NOUN
aiti-13599	338	41	-	-	PUNCT
aiti-13599	338	42	like	like	ADJ
aiti-13599	338	43	arrangement	arrangement	NOUN
aiti-13599	338	44	of	of	ADP
aiti-13599	338	45	states	state	NOUN
aiti-13599	338	46	to	to	PART
aiti-13599	338	47	enable	enable	VERB
aiti-13599	338	48	systematic	systematic	ADJ
aiti-13599	338	49	state	state	NOUN
aiti-13599	338	50	transitions	transition	NOUN
aiti-13599	338	51	.	.	PUNCT
aiti-13599	339	1	in	in	ADP
aiti-13599	339	2	contrast	contrast	NOUN
aiti-13599	339	3	,	,	PUNCT
aiti-13599	339	4	product	product	NOUN
aiti-13599	339	5	automata	automata	NOUN
aiti-13599	339	6	combines	combine	VERB
aiti-13599	339	7	numerous	numerous	ADJ
aiti-13599	339	8	automata	automata	NOUN
aiti-13599	339	9	into	into	ADP
aiti-13599	339	10	a	a	DET
aiti-13599	339	11	single	single	ADJ
aiti-13599	339	12	framework	framework	NOUN
aiti-13599	339	13	to	to	PART
aiti-13599	339	14	coordinate	coordinate	VERB
aiti-13599	339	15	their	their	PRON
aiti-13599	339	16	behaviors	behavior	NOUN
aiti-13599	339	17	to	to	PART
aiti-13599	339	18	expedite	expedite	VERB
aiti-13599	339	19	computing	computing	NOUN
aiti-13599	339	20	processes	process	NOUN
aiti-13599	339	21	.	.	PUNCT
aiti-13599	340	1	the	the	DET
aiti-13599	340	2	assessment	assessment	NOUN
aiti-13599	340	3	indicated	indicate	VERB
aiti-13599	340	4	significant	significant	ADJ
aiti-13599	340	5	advantages	advantage	NOUN
aiti-13599	340	6	of	of	ADP
aiti-13599	340	7	these	these	DET
aiti-13599	340	8	approaches	approach	NOUN
aiti-13599	340	9	over	over	ADP
aiti-13599	340	10	conventional	conventional	ADJ
aiti-13599	340	11	methods	method	NOUN
aiti-13599	340	12	.	.	PUNCT
aiti-13599	341	1	grid	grid	NOUN
aiti-13599	341	2	automata	automata	PROPN
aiti-13599	341	3	’s	’s	PART
aiti-13599	341	4	systematic	systematic	ADJ
aiti-13599	341	5	arrangement	arrangement	NOUN
aiti-13599	341	6	improves	improve	VERB
aiti-13599	341	7	the	the	DET
aiti-13599	341	8	clarity	clarity	NOUN
aiti-13599	341	9	and	and	CCONJ
aiti-13599	341	10	speed	speed	NOUN
aiti-13599	341	11	of	of	ADP
aiti-13599	341	12	state	state	NOUN
aiti-13599	341	13	transitions	transition	NOUN
aiti-13599	341	14	,	,	PUNCT
aiti-13599	341	15	whereas	whereas	SCONJ
aiti-13599	341	16	product	product	NOUN
aiti-13599	341	17	automata	automata	NOUN
aiti-13599	341	18	allows	allow	VERB
aiti-13599	341	19	for	for	ADP
aiti-13599	341	20	the	the	DET
aiti-13599	341	21	aggregation	aggregation	NOUN
aiti-13599	341	22	of	of	ADP
aiti-13599	341	23	multiple	multiple	ADJ
aiti-13599	341	24	automata	automata	NOUN
aiti-13599	341	25	,	,	PUNCT
aiti-13599	341	26	resulting	result	VERB
aiti-13599	341	27	in	in	ADP
aiti-13599	341	28	more	more	ADV
aiti-13599	341	29	streamlined	streamlined	ADJ
aiti-13599	341	30	and	and	CCONJ
aiti-13599	341	31	synchronized	synchronized	ADJ
aiti-13599	341	32	behavior	behavior	NOUN
aiti-13599	341	33	.	.	PUNCT
aiti-13599	342	1	the	the	DET
aiti-13599	342	2	performance	performance	NOUN
aiti-13599	342	3	evaluation	evaluation	NOUN
aiti-13599	342	4	produced	produce	VERB
aiti-13599	342	5	promising	promising	ADJ
aiti-13599	342	6	results	result	NOUN
aiti-13599	342	7	.	.	PUNCT
aiti-13599	343	1	in	in	ADP
aiti-13599	343	2	terms	term	NOUN
aiti-13599	343	3	of	of	ADP
aiti-13599	343	4	construction	construction	NOUN
aiti-13599	343	5	time	time	NOUN
aiti-13599	343	6	,	,	PUNCT
aiti-13599	343	7	memory	memory	NOUN
aiti-13599	343	8	utilization	utilization	NOUN
aiti-13599	343	9	,	,	PUNCT
aiti-13599	343	10	scalability	scalability	NOUN
aiti-13599	343	11	,	,	PUNCT
aiti-13599	343	12	robustness	robustness	NOUN
aiti-13599	343	13	,	,	PUNCT
aiti-13599	343	14	application	application	NOUN
aiti-13599	343	15	range	range	NOUN
aiti-13599	343	16	,	,	PUNCT
aiti-13599	343	17	and	and	CCONJ
aiti-13599	343	18	complexity	complexity	NOUN
aiti-13599	343	19	,	,	PUNCT
aiti-13599	343	20	the	the	DET
aiti-13599	343	21	methodologies	methodology	NOUN
aiti-13599	343	22	consistently	consistently	ADV
aiti-13599	343	23	outperformed	outperform	VERB
aiti-13599	343	24	traditional	traditional	ADJ
aiti-13599	343	25	techniques	technique	NOUN
aiti-13599	343	26	by	by	ADP
aiti-13599	343	27	25	25	NUM
aiti-13599	343	28	%	%	NOUN
aiti-13599	343	29	to	to	ADP
aiti-13599	343	30	50	50	NUM
aiti-13599	343	31	%	%	NOUN
aiti-13599	343	32	.	.	PUNCT
aiti-13599	344	1	this	this	PRON
aiti-13599	344	2	demonstrates	demonstrate	VERB
aiti-13599	344	3	the	the	DET
aiti-13599	344	4	practical	practical	ADJ
aiti-13599	344	5	viability	viability	NOUN
aiti-13599	344	6	and	and	CCONJ
aiti-13599	344	7	superiority	superiority	NOUN
aiti-13599	344	8	of	of	ADP
aiti-13599	344	9	grid	grid	NOUN
aiti-13599	344	10	and	and	CCONJ
aiti-13599	344	11	product	product	NOUN
aiti-13599	344	12	automata	automata	NOUN
aiti-13599	344	13	for	for	ADP
aiti-13599	344	14	developing	develop	VERB
aiti-13599	344	15	finite	finite	ADJ
aiti-13599	344	16	automata	automata	NOUN
aiti-13599	344	17	.	.	PUNCT
aiti-13599	345	1	this	this	DET
aiti-13599	345	2	study	study	NOUN
aiti-13599	345	3	advances	advance	VERB
aiti-13599	345	4	automata	automata	NOUN
aiti-13599	345	5	theory	theory	NOUN
aiti-13599	345	6	and	and	CCONJ
aiti-13599	345	7	emphasizes	emphasize	VERB
aiti-13599	345	8	the	the	DET
aiti-13599	345	9	practical	practical	ADJ
aiti-13599	345	10	application	application	NOUN
aiti-13599	345	11	of	of	ADP
aiti-13599	345	12	these	these	DET
aiti-13599	345	13	approaches	approach	NOUN
aiti-13599	345	14	in	in	ADP
aiti-13599	345	15	various	various	ADJ
aiti-13599	345	16	disciplines	discipline	NOUN
aiti-13599	345	17	.	.	PUNCT
aiti-13599	346	1	grid	grid	NOUN
aiti-13599	346	2	and	and	CCONJ
aiti-13599	346	3	product	product	NOUN
aiti-13599	346	4	automata	automata	NOUN
aiti-13599	346	5	show	show	VERB
aiti-13599	346	6	promise	promise	NOUN
aiti-13599	346	7	for	for	ADP
aiti-13599	346	8	future	future	ADJ
aiti-13599	346	9	applications	application	NOUN
aiti-13599	346	10	in	in	ADP
aiti-13599	346	11	natural	natural	ADJ
aiti-13599	346	12	language	language	NOUN
aiti-13599	346	13	processing	processing	NOUN
aiti-13599	346	14	,	,	PUNCT
aiti-13599	346	15	pattern	pattern	NOUN
aiti-13599	346	16	recognition	recognition	NOUN
aiti-13599	346	17	,	,	PUNCT
aiti-13599	346	18	compiler	compiler	NOUN
aiti-13599	346	19	design	design	NOUN
aiti-13599	346	20	,	,	PUNCT
aiti-13599	346	21	robotics	robotic	NOUN
aiti-13599	346	22	,	,	PUNCT
aiti-13599	346	23	and	and	CCONJ
aiti-13599	346	24	bioinformatics	bioinformatics	NOUN
aiti-13599	346	25	because	because	SCONJ
aiti-13599	346	26	they	they	PRON
aiti-13599	346	27	simplify	simplify	VERB
aiti-13599	346	28	complex	complex	ADJ
aiti-13599	346	29	computational	computational	ADJ
aiti-13599	346	30	problems	problem	NOUN
aiti-13599	346	31	while	while	SCONJ
aiti-13599	346	32	providing	provide	VERB
aiti-13599	346	33	stable	stable	ADJ
aiti-13599	346	34	and	and	CCONJ
aiti-13599	346	35	scalable	scalable	ADJ
aiti-13599	346	36	solutions	solution	NOUN
aiti-13599	346	37	.	.	PUNCT
aiti-13599	347	1	as	as	SCONJ
aiti-13599	347	2	computational	computational	ADJ
aiti-13599	347	3	systems	system	NOUN
aiti-13599	347	4	improve	improve	VERB
aiti-13599	347	5	,	,	PUNCT
aiti-13599	347	6	integrating	integrate	VERB
aiti-13599	347	7	these	these	DET
aiti-13599	347	8	strategies	strategy	NOUN
aiti-13599	347	9	promises	promise	VERB
aiti-13599	347	10	more	more	ADV
aiti-13599	347	11	efficient	efficient	ADJ
aiti-13599	347	12	and	and	CCONJ
aiti-13599	347	13	effective	effective	ADJ
aiti-13599	347	14	problem	problem	NOUN
aiti-13599	347	15	-	-	PUNCT
aiti-13599	347	16	solving	solve	VERB
aiti-13599	347	17	ways	way	NOUN
aiti-13599	347	18	.	.	PUNCT
aiti-13599	348	1	this	this	PRON
aiti-13599	348	2	developed	develop	VERB
aiti-13599	348	3	automated	automate	VERB
aiti-13599	348	4	system	system	NOUN
aiti-13599	348	5	’s	’s	PART
aiti-13599	348	6	scalability	scalability	NOUN
aiti-13599	348	7	will	will	AUX
aiti-13599	348	8	benefit	benefit	VERB
aiti-13599	348	9	industries	industry	NOUN
aiti-13599	348	10	such	such	ADJ
aiti-13599	348	11	as	as	ADP
aiti-13599	348	12	vehicle	vehicle	NOUN
aiti-13599	348	13	manufacturing	manufacturing	NOUN
aiti-13599	348	14	and	and	CCONJ
aiti-13599	348	15	logistics	logistic	NOUN
aiti-13599	348	16	in	in	ADP
aiti-13599	348	17	the	the	DET
aiti-13599	348	18	future	future	NOUN
aiti-13599	348	19	.	.	PUNCT
aiti-13599	349	1	let	let	VERB
aiti-13599	349	2	’s	’s	NOUN
aiti-13599	349	3	look	look	VERB
aiti-13599	349	4	at	at	ADP
aiti-13599	349	5	some	some	DET
aiti-13599	349	6	more	more	ADJ
aiti-13599	349	7	future	future	ADJ
aiti-13599	349	8	automation	automation	NOUN
aiti-13599	349	9	possibilities	possibility	NOUN
aiti-13599	349	10	.	.	PUNCT
aiti-13599	350	1	this	this	DET
aiti-13599	350	2	developed	develop	VERB
aiti-13599	350	3	method	method	NOUN
aiti-13599	350	4	will	will	AUX
aiti-13599	350	5	significantly	significantly	ADV
aiti-13599	350	6	impact	impact	VERB
aiti-13599	350	7	the	the	DET
aiti-13599	350	8	robotics	robotic	NOUN
aiti-13599	350	9	business	business	NOUN
aiti-13599	350	10	in	in	ADP
aiti-13599	350	11	the	the	DET
aiti-13599	350	12	coming	coming	ADJ
aiti-13599	350	13	years	year	NOUN
aiti-13599	350	14	,	,	PUNCT
aiti-13599	350	15	facilitating	facilitate	VERB
aiti-13599	350	16	the	the	DET
aiti-13599	350	17	development	development	NOUN
aiti-13599	350	18	and	and	CCONJ
aiti-13599	350	19	assembly	assembly	NOUN
aiti-13599	350	20	of	of	ADP
aiti-13599	350	21	advanced	advanced	ADJ
aiti-13599	350	22	robots	robot	NOUN
aiti-13599	350	23	.	.	PUNCT
aiti-13599	351	1	additionally	additionally	ADV
aiti-13599	351	2	,	,	PUNCT
aiti-13599	351	3	this	this	DET
aiti-13599	351	4	approach	approach	NOUN
aiti-13599	351	5	will	will	AUX
aiti-13599	351	6	play	play	VERB
aiti-13599	351	7	a	a	DET
aiti-13599	351	8	significant	significant	ADJ
aiti-13599	351	9	part	part	NOUN
aiti-13599	351	10	in	in	ADP
aiti-13599	351	11	the	the	DET
aiti-13599	351	12	field	field	NOUN
aiti-13599	351	13	of	of	ADP
aiti-13599	351	14	self	self	NOUN
aiti-13599	351	15	-	-	PUNCT
aiti-13599	351	16	driving	drive	VERB
aiti-13599	351	17	cars	car	NOUN
aiti-13599	351	18	,	,	PUNCT
aiti-13599	351	19	a	a	DET
aiti-13599	351	20	growing	grow	VERB
aiti-13599	351	21	focus	focus	NOUN
aiti-13599	351	22	in	in	ADP
aiti-13599	351	23	technology	technology	NOUN
aiti-13599	351	24	.	.	PUNCT
aiti-13599	352	1	conflicts	conflict	NOUN
aiti-13599	352	2	of	of	ADP
aiti-13599	352	3	interest	interest	NOUN
aiti-13599	352	4	the	the	DET
aiti-13599	352	5	authors	author	NOUN
aiti-13599	352	6	declare	declare	VERB
aiti-13599	352	7	no	no	DET
aiti-13599	352	8	conflict	conflict	NOUN
aiti-13599	352	9	of	of	ADP
aiti-13599	352	10	interest	interest	NOUN
aiti-13599	352	11	.	.	PUNCT
aiti-13599	353	1	references	reference	NOUN
aiti-13599	353	2	[	[	X
aiti-13599	353	3	1	1	NUM
aiti-13599	353	4	]	]	PUNCT
aiti-13599	353	5	x.	x.	NOUN
aiti-13599	353	6	zhao	zhao	PROPN
aiti-13599	353	7	,	,	PUNCT
aiti-13599	353	8	d.	d.	PROPN
aiti-13599	353	9	shi	shi	PROPN
aiti-13599	353	10	,	,	PUNCT
aiti-13599	353	11	y.	y.	PROPN
aiti-13599	353	12	li	li	PROPN
aiti-13599	353	13	,	,	PUNCT
aiti-13599	353	14	f.	f.	PROPN
aiti-13599	353	15	qin	qin	PROPN
aiti-13599	353	16	,	,	PUNCT
aiti-13599	353	17	z.	z.	PROPN
aiti-13599	353	18	chu	chu	PROPN
aiti-13599	353	19	,	,	PUNCT
aiti-13599	353	20	and	and	CCONJ
aiti-13599	353	21	x.	x.	PROPN
aiti-13599	353	22	yang	yang	PROPN
aiti-13599	353	23	,	,	PUNCT
aiti-13599	353	24	“	"	PUNCT
aiti-13599	353	25	simulation	simulation	NOUN
aiti-13599	353	26	of	of	ADP
aiti-13599	353	27	dynamic	dynamic	ADJ
aiti-13599	353	28	recrystallization	recrystallization	NOUN
aiti-13599	353	29	in	in	ADP
aiti-13599	353	30	7075	7075	NUM
aiti-13599	353	31	aluminum	aluminum	NOUN
aiti-13599	353	32	alloy	alloy	NOUN
aiti-13599	353	33	using	use	VERB
aiti-13599	353	34	cellular	cellular	ADJ
aiti-13599	353	35	automaton	automaton	NOUN
aiti-13599	353	36	,	,	PUNCT
aiti-13599	353	37	”	"	PUNCT
aiti-13599	353	38	journal	journal	NOUN
aiti-13599	353	39	of	of	ADP
aiti-13599	353	40	wuhan	wuhan	PROPN
aiti-13599	353	41	university	university	PROPN
aiti-13599	353	42	of	of	ADP
aiti-13599	353	43	technology	technology	NOUN
aiti-13599	353	44	-	-	PUNCT
aiti-13599	353	45	mater	mater	NOUN
aiti-13599	353	46	.	.	PUNCT
aiti-13599	354	1	sci	sci	PROPN
aiti-13599	354	2	.	.	PUNCT
aiti-13599	355	1	ed	ed	PROPN
aiti-13599	355	2	.	.	PROPN
aiti-13599	355	3	,	,	PUNCT
aiti-13599	355	4	vol	vol	NOUN
aiti-13599	355	5	.	.	PROPN
aiti-13599	355	6	39	39	NUM
aiti-13599	355	7	,	,	PUNCT
aiti-13599	355	8	no	no	INTJ
aiti-13599	355	9	.	.	NOUN
aiti-13599	355	10	2	2	NUM
aiti-13599	355	11	,	,	PUNCT
aiti-13599	355	12	pp	pp	ADJ
aiti-13599	355	13	.	.	PUNCT
aiti-13599	356	1	425435	425435	NUM
aiti-13599	356	2	,	,	PUNCT
aiti-13599	356	3	april	april	PROPN
aiti-13599	356	4	2024	2024	NUM
aiti-13599	356	5	.	.	PUNCT
aiti-13599	357	1	[	[	X
aiti-13599	357	2	2	2	X
aiti-13599	357	3	]	]	X
aiti-13599	357	4	o.	o.	PROPN
aiti-13599	357	5	amir	amir	PROPN
aiti-13599	357	6	,	,	PUNCT
aiti-13599	357	7	a.	a.	PROPN
aiti-13599	357	8	amir	amir	PROPN
aiti-13599	357	9	,	,	PUNCT
aiti-13599	357	10	a.	a.	NOUN
aiti-13599	357	11	fraenkel	fraenkel	NOUN
aiti-13599	357	12	,	,	PUNCT
aiti-13599	357	13	and	and	CCONJ
aiti-13599	357	14	d.	d.	PROPN
aiti-13599	357	15	sarne	sarne	PROPN
aiti-13599	357	16	,	,	PUNCT
aiti-13599	357	17	“	"	PUNCT
aiti-13599	357	18	on	on	ADP
aiti-13599	357	19	the	the	DET
aiti-13599	357	20	practical	practical	ADJ
aiti-13599	357	21	power	power	NOUN
aiti-13599	357	22	of	of	ADP
aiti-13599	357	23	automata	automata	NOUN
aiti-13599	357	24	in	in	ADP
aiti-13599	357	25	pattern	pattern	NOUN
aiti-13599	357	26	matching	matching	NOUN
aiti-13599	357	27	,	,	PUNCT
aiti-13599	357	28	”	"	PUNCT
aiti-13599	357	29	sn	sn	PROPN
aiti-13599	357	30	computer	computer	NOUN
aiti-13599	357	31	science	science	NOUN
aiti-13599	357	32	,	,	PUNCT
aiti-13599	357	33	vol	vol	NOUN
aiti-13599	357	34	.	.	PROPN
aiti-13599	357	35	5	5	NUM
aiti-13599	357	36	,	,	PUNCT
aiti-13599	357	37	no	no	INTJ
aiti-13599	357	38	.	.	NOUN
aiti-13599	357	39	4	4	NUM
aiti-13599	357	40	,	,	PUNCT
aiti-13599	357	41	article	article	NOUN
aiti-13599	357	42	no	no	NOUN
aiti-13599	357	43	.	.	PROPN
aiti-13599	357	44	400	400	NUM
aiti-13599	357	45	,	,	PUNCT
aiti-13599	357	46	april	april	PROPN
aiti-13599	357	47	2024	2024	NUM
aiti-13599	357	48	.	.	PUNCT
aiti-13599	358	1	[	[	X
aiti-13599	358	2	3	3	NUM
aiti-13599	358	3	]	]	PUNCT
aiti-13599	358	4	a.	a.	NOUN
aiti-13599	358	5	modanese	modanese	PROPN
aiti-13599	358	6	and	and	CCONJ
aiti-13599	358	7	t.	t.	PROPN
aiti-13599	358	8	worsch	worsch	NOUN
aiti-13599	358	9	,	,	PUNCT
aiti-13599	358	10	“	"	PUNCT
aiti-13599	358	11	embedding	embed	VERB
aiti-13599	358	12	arbitrary	arbitrary	ADJ
aiti-13599	358	13	boolean	boolean	ADJ
aiti-13599	358	14	circuits	circuit	NOUN
aiti-13599	358	15	into	into	ADP
aiti-13599	358	16	fungal	fungal	ADJ
aiti-13599	358	17	automata	automata	NOUN
aiti-13599	358	18	,	,	PUNCT
aiti-13599	358	19	”	"	PUNCT
aiti-13599	358	20	algorithmica	algorithmica	ADV
aiti-13599	358	21	,	,	PUNCT
aiti-13599	358	22	in	in	ADP
aiti-13599	358	23	press	press	NOUN
aiti-13599	358	24	.	.	PUNCT
aiti-13599	359	1	https://doi.org/10.1007/s00453-024-01222-7	https://doi.org/10.1007/s00453-024-01222-7	PROPN
aiti-13599	359	2	advances	advance	VERB
aiti-13599	359	3	in	in	ADP
aiti-13599	359	4	technology	technology	NOUN
aiti-13599	359	5	innovation	innovation	NOUN
aiti-13599	359	6	,	,	PUNCT
aiti-13599	359	7	vol	vol	NOUN
aiti-13599	359	8	.	.	PROPN
aiti-13599	359	9	9	9	NUM
aiti-13599	359	10	,	,	PUNCT
aiti-13599	359	11	no	no	INTJ
aiti-13599	359	12	.	.	NOUN
aiti-13599	359	13	3	3	NUM
aiti-13599	359	14	,	,	PUNCT
aiti-13599	359	15	2024	2024	NUM
aiti-13599	359	16	,	,	PUNCT
aiti-13599	359	17	pp	pp	ADV
aiti-13599	359	18	.	.	PUNCT
aiti-13599	360	1	239	239	NUM
aiti-13599	360	2	-	-	SYM
aiti-13599	360	3	255	255	NUM
aiti-13599	360	4	255	255	NUM
aiti-13599	361	1	[	[	X
aiti-13599	361	2	4	4	NUM
aiti-13599	361	3	]	]	X
aiti-13599	361	4	g.	g.	PROPN
aiti-13599	361	5	pighizzini	pighizzini	PROPN
aiti-13599	361	6	,	,	PUNCT
aiti-13599	361	7	l.	l.	PROPN
aiti-13599	361	8	prigioniero	prigioniero	PROPN
aiti-13599	361	9	,	,	PUNCT
aiti-13599	361	10	and	and	CCONJ
aiti-13599	361	11	s.	s.	PROPN
aiti-13599	361	12	sadovsky	sadovsky	PROPN
aiti-13599	361	13	,	,	PUNCT
aiti-13599	361	14	“	"	PUNCT
aiti-13599	361	15	performing	perform	VERB
aiti-13599	361	16	regular	regular	ADJ
aiti-13599	361	17	operations	operation	NOUN
aiti-13599	361	18	with	with	ADP
aiti-13599	361	19	1	1	NUM
aiti-13599	361	20	-	-	PUNCT
aiti-13599	361	21	limited	limit	VERB
aiti-13599	361	22	automata	automata	NOUN
aiti-13599	361	23	,	,	PUNCT
aiti-13599	361	24	”	"	PUNCT
aiti-13599	361	25	theory	theory	NOUN
aiti-13599	361	26	of	of	ADP
aiti-13599	361	27	computing	computing	NOUN
aiti-13599	361	28	systems	system	NOUN
aiti-13599	361	29	,	,	PUNCT
aiti-13599	361	30	vol	vol	NOUN
aiti-13599	361	31	.	.	PROPN
aiti-13599	362	1	68	68	NUM
aiti-13599	362	2	,	,	PUNCT
aiti-13599	362	3	no	no	INTJ
aiti-13599	362	4	.	.	NOUN
aiti-13599	362	5	3	3	NUM
aiti-13599	362	6	,	,	PUNCT
aiti-13599	362	7	pp	pp	ADJ
aiti-13599	362	8	.	.	PUNCT
aiti-13599	363	1	465	465	NUM
aiti-13599	363	2	-	-	SYM
aiti-13599	363	3	486	486	NUM
aiti-13599	363	4	,	,	PUNCT
aiti-13599	363	5	june	june	PROPN
aiti-13599	363	6	2024	2024	NUM
aiti-13599	363	7	.	.	PUNCT
aiti-13599	364	1	[	[	X
aiti-13599	364	2	5	5	NUM
aiti-13599	364	3	]	]	PUNCT
aiti-13599	364	4	a.	a.	NOUN
aiti-13599	364	5	maletti	maletti	PROPN
aiti-13599	364	6	and	and	CCONJ
aiti-13599	364	7	a.	a.	NOUN
aiti-13599	364	8	t.	t.	PROPN
aiti-13599	364	9	nasz	nasz	NOUN
aiti-13599	364	10	,	,	PUNCT
aiti-13599	364	11	“	"	PUNCT
aiti-13599	364	12	weighted	weight	VERB
aiti-13599	364	13	tree	tree	NOUN
aiti-13599	364	14	automata	automata	NOUN
aiti-13599	364	15	with	with	ADP
aiti-13599	364	16	constraints	constraint	NOUN
aiti-13599	364	17	,	,	PUNCT
aiti-13599	364	18	”	"	PUNCT
aiti-13599	364	19	theory	theory	NOUN
aiti-13599	364	20	of	of	ADP
aiti-13599	364	21	computing	computing	NOUN
aiti-13599	364	22	systems	system	NOUN
aiti-13599	364	23	,	,	PUNCT
aiti-13599	364	24	vol	vol	NOUN
aiti-13599	364	25	.	.	PROPN
aiti-13599	365	1	68	68	NUM
aiti-13599	365	2	,	,	PUNCT
aiti-13599	365	3	no	no	INTJ
aiti-13599	365	4	.	.	NOUN
aiti-13599	365	5	1	1	NUM
aiti-13599	365	6	,	,	PUNCT
aiti-13599	365	7	pp	pp	ADJ
aiti-13599	365	8	.	.	PUNCT
aiti-13599	366	1	1	1	NUM
aiti-13599	366	2	-	-	SYM
aiti-13599	366	3	28	28	NUM
aiti-13599	366	4	,	,	PUNCT
aiti-13599	366	5	february	february	PROPN
aiti-13599	366	6	2024	2024	NUM
aiti-13599	366	7	.	.	PUNCT
aiti-13599	367	1	[	[	X
aiti-13599	367	2	6	6	NUM
aiti-13599	367	3	]	]	PUNCT
aiti-13599	367	4	g.	g.	PROPN
aiti-13599	367	5	r.	r.	PROPN
aiti-13599	367	6	laura	laura	PROPN
aiti-13599	367	7	,	,	PUNCT
aiti-13599	367	8	j.	j.	PROPN
aiti-13599	367	9	m.	m.	PROPN
aiti-13599	367	10	francisco	francisco	PROPN
aiti-13599	367	11	,	,	PUNCT
aiti-13599	367	12	g.	g.	PROPN
aiti-13599	367	13	s.	s.	PROPN
aiti-13599	367	14	manuela	manuela	PROPN
aiti-13599	367	15	,	,	PUNCT
aiti-13599	367	16	r.	r.	PROPN
aiti-13599	367	17	a.	a.	PROPN
aiti-13599	367	18	pedro	pedro	PROPN
aiti-13599	367	19	,	,	PUNCT
aiti-13599	367	20	and	and	CCONJ
aiti-13599	367	21	m.	m.	PROPN
aiti-13599	367	22	f.	f.	PROPN
aiti-13599	367	23	víctor	víctor	PROPN
aiti-13599	367	24	,	,	PUNCT
aiti-13599	367	25	“	"	PUNCT
aiti-13599	367	26	cellular	cellular	ADJ
aiti-13599	367	27	automata	automata	NOUN
aiti-13599	367	28	simulations	simulation	NOUN
aiti-13599	367	29	of	of	ADP
aiti-13599	367	30	the	the	DET
aiti-13599	367	31	sintering	sinter	VERB
aiti-13599	367	32	behavior	behavior	NOUN
aiti-13599	367	33	of	of	ADP
aiti-13599	367	34	ceramics	ceramic	NOUN
aiti-13599	367	35	driven	drive	VERB
aiti-13599	367	36	by	by	ADP
aiti-13599	367	37	surface	surface	NOUN
aiti-13599	367	38	energy	energy	NOUN
aiti-13599	367	39	reduction	reduction	NOUN
aiti-13599	367	40	,	,	PUNCT
aiti-13599	367	41	”	"	PUNCT
aiti-13599	367	42	natural	natural	ADJ
aiti-13599	367	43	computing	computing	NOUN
aiti-13599	367	44	,	,	PUNCT
aiti-13599	367	45	vol	vol	NOUN
aiti-13599	367	46	.	.	PROPN
aiti-13599	367	47	23	23	NUM
aiti-13599	367	48	,	,	PUNCT
aiti-13599	367	49	no	no	INTJ
aiti-13599	367	50	.	.	NOUN
aiti-13599	367	51	1	1	NUM
aiti-13599	367	52	,	,	PUNCT
aiti-13599	367	53	pp	pp	ADJ
aiti-13599	367	54	.	.	PUNCT
aiti-13599	367	55	69	69	NUM
aiti-13599	367	56	-	-	SYM
aiti-13599	367	57	70	70	NUM
aiti-13599	367	58	,	,	PUNCT
aiti-13599	367	59	march	march	PROPN
aiti-13599	367	60	2024	2024	NUM
aiti-13599	367	61	.	.	PUNCT
aiti-13599	368	1	[	[	X
aiti-13599	368	2	7	7	X
aiti-13599	368	3	]	]	X
aiti-13599	368	4	p.	p.	PROPN
aiti-13599	368	5	kishore	kishore	PROPN
aiti-13599	368	6	,	,	PUNCT
aiti-13599	368	7	n.	n.	PROPN
aiti-13599	368	8	thaduru	thaduru	PROPN
aiti-13599	368	9	,	,	PUNCT
aiti-13599	368	10	and	and	CCONJ
aiti-13599	368	11	k.	k.	PROPN
aiti-13599	368	12	k.	k.	PROPN
aiti-13599	368	13	srinivas	srinivas	PROPN
aiti-13599	368	14	,	,	PUNCT
aiti-13599	368	15	“	"	PUNCT
aiti-13599	368	16	design	design	NOUN
aiti-13599	368	17	of	of	ADP
aiti-13599	368	18	high	high	ADJ
aiti-13599	368	19	performance	performance	NOUN
aiti-13599	368	20	adders	adder	NOUN
aiti-13599	368	21	using	use	VERB
aiti-13599	368	22	quantum	quantum	ADJ
aiti-13599	368	23	dot	dot	NOUN
aiti-13599	368	24	cellular	cellular	ADJ
aiti-13599	368	25	automata	automata	NOUN
aiti-13599	368	26	(	(	PUNCT
aiti-13599	368	27	qca	qca	NOUN
aiti-13599	368	28	)	)	PUNCT
aiti-13599	368	29	,	,	PUNCT
aiti-13599	368	30	”	"	PUNCT
aiti-13599	368	31	14th	14th	ADJ
aiti-13599	368	32	international	international	ADJ
aiti-13599	368	33	conference	conference	NOUN
aiti-13599	368	34	on	on	ADP
aiti-13599	368	35	computing	compute	VERB
aiti-13599	368	36	communication	communication	NOUN
aiti-13599	368	37	and	and	CCONJ
aiti-13599	368	38	networking	networking	NOUN
aiti-13599	368	39	technologies	technology	NOUN
aiti-13599	368	40	,	,	PUNCT
aiti-13599	368	41	pp	pp	ADJ
aiti-13599	368	42	.	.	PUNCT
aiti-13599	368	43	16	16	NUM
aiti-13599	368	44	,	,	PUNCT
aiti-13599	368	45	july	july	PROPN
aiti-13599	368	46	2023	2023	NUM
aiti-13599	368	47	.	.	PUNCT
aiti-13599	369	1	[	[	X
aiti-13599	369	2	8	8	NUM
aiti-13599	369	3	]	]	X
aiti-13599	369	4	b.	b.	PROPN
aiti-13599	369	5	shahid	shahid	PROPN
aiti-13599	369	6	,	,	PUNCT
aiti-13599	369	7	a.	a.	PROPN
aiti-13599	369	8	u.	u.	PROPN
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aiti-13599	369	10	,	,	PUNCT
aiti-13599	369	11	n.	n.	PROPN
aiti-13599	369	12	tahir	tahir	PROPN
aiti-13599	369	13	,	,	PUNCT
aiti-13599	369	14	and	and	CCONJ
aiti-13599	369	15	o.	o.	PROPN
aiti-13599	369	16	sattar	sattar	PROPN
aiti-13599	369	17	,	,	PUNCT
aiti-13599	369	18	“	"	PUNCT
aiti-13599	369	19	active	active	ADJ
aiti-13599	369	20	strategy	strategy	NOUN
aiti-13599	369	21	for	for	ADP
aiti-13599	369	22	learning	learn	VERB
aiti-13599	369	23	non	non	ADJ
aiti-13599	369	24	-	-	ADJ
aiti-13599	369	25	deterministic	deterministic	ADJ
aiti-13599	369	26	automata	automata	NOUN
aiti-13599	369	27	by	by	ADP
aiti-13599	369	28	peer	peer	NOUN
aiti-13599	369	29	,	,	PUNCT
aiti-13599	369	30	”	"	PUNCT
aiti-13599	369	31	international	international	ADJ
aiti-13599	369	32	conference	conference	NOUN
aiti-13599	369	33	on	on	ADP
aiti-13599	369	34	business	business	NOUN
aiti-13599	369	35	analytics	analytic	NOUN
aiti-13599	369	36	for	for	ADP
aiti-13599	369	37	technology	technology	NOUN
aiti-13599	369	38	and	and	CCONJ
aiti-13599	369	39	security	security	NOUN
aiti-13599	369	40	,	,	PUNCT
aiti-13599	369	41	pp	pp	ADJ
aiti-13599	369	42	.	.	PUNCT
aiti-13599	370	1	1	1	NUM
aiti-13599	370	2	-	-	SYM
aiti-13599	370	3	7	7	NUM
aiti-13599	370	4	,	,	PUNCT
aiti-13599	370	5	march	march	PROPN
aiti-13599	370	6	2023	2023	NUM
aiti-13599	370	7	.	.	PUNCT
aiti-13599	371	1	[	[	X
aiti-13599	371	2	9	9	NUM
aiti-13599	371	3	]	]	X
aiti-13599	371	4	v.	v.	ADP
aiti-13599	371	5	jaiswal	jaiswal	PROPN
aiti-13599	371	6	and	and	CCONJ
aiti-13599	371	7	t.	t.	PROPN
aiti-13599	371	8	n.	n.	PROPN
aiti-13599	371	9	sasamal	sasamal	PROPN
aiti-13599	371	10	,	,	PUNCT
aiti-13599	371	11	“	"	PUNCT
aiti-13599	371	12	a	a	DET
aiti-13599	371	13	novel	novel	ADJ
aiti-13599	371	14	approach	approach	NOUN
aiti-13599	371	15	to	to	ADP
aiti-13599	371	16	design	design	NOUN
aiti-13599	371	17	multiplexer	multiplexer	NOUN
aiti-13599	371	18	using	use	VERB
aiti-13599	371	19	magnetic	magnetic	ADJ
aiti-13599	371	20	quantum	quantum	NOUN
aiti-13599	371	21	-	-	PUNCT
aiti-13599	371	22	dot	dot	NOUN
aiti-13599	371	23	cellular	cellular	ADJ
aiti-13599	371	24	automata	automata	NOUN
aiti-13599	371	25	,	,	PUNCT
aiti-13599	371	26	”	"	PUNCT
aiti-13599	371	27	ieee	ieee	NOUN
aiti-13599	371	28	embedded	embed	VERB
aiti-13599	371	29	systems	system	NOUN
aiti-13599	371	30	letters	letter	NOUN
aiti-13599	371	31	,	,	PUNCT
aiti-13599	371	32	vol	vol	NOUN
aiti-13599	371	33	.	.	PROPN
aiti-13599	371	34	15	15	NUM
aiti-13599	371	35	,	,	PUNCT
aiti-13599	371	36	no	no	INTJ
aiti-13599	371	37	.	.	NOUN
aiti-13599	371	38	3	3	NUM
aiti-13599	371	39	,	,	PUNCT
aiti-13599	371	40	pp	pp	ADJ
aiti-13599	371	41	.	.	PUNCT
aiti-13599	372	1	133	133	NUM
aiti-13599	372	2	-	-	SYM
aiti-13599	372	3	136	136	NUM
aiti-13599	372	4	,	,	PUNCT
aiti-13599	372	5	september	september	PROPN
aiti-13599	372	6	2023	2023	NUM
aiti-13599	372	7	.	.	PUNCT
aiti-13599	373	1	[	[	X
aiti-13599	373	2	10	10	NUM
aiti-13599	373	3	]	]	X
aiti-13599	373	4	v.	v.	ADP
aiti-13599	373	5	havlena	havlena	NOUN
aiti-13599	373	6	,	,	PUNCT
aiti-13599	373	7	p.	p.	PROPN
aiti-13599	373	8	matousek	matousek	PROPN
aiti-13599	373	9	,	,	PUNCT
aiti-13599	373	10	o.	o.	PROPN
aiti-13599	373	11	rysavy	rysavy	PROPN
aiti-13599	373	12	,	,	PUNCT
aiti-13599	373	13	and	and	CCONJ
aiti-13599	373	14	l.	l.	PROPN
aiti-13599	373	15	holík	holík	PROPN
aiti-13599	373	16	,	,	PUNCT
aiti-13599	373	17	“	"	PUNCT
aiti-13599	373	18	accurate	accurate	ADJ
aiti-13599	373	19	automata	automata	NOUN
aiti-13599	373	20	-	-	PUNCT
aiti-13599	373	21	based	base	VERB
aiti-13599	373	22	detection	detection	NOUN
aiti-13599	373	23	of	of	ADP
aiti-13599	373	24	cyber	cyber	ADJ
aiti-13599	373	25	threats	threat	NOUN
aiti-13599	373	26	in	in	ADP
aiti-13599	373	27	smart	smart	ADJ
aiti-13599	373	28	grid	grid	NOUN
aiti-13599	373	29	communication	communication	NOUN
aiti-13599	373	30	,	,	PUNCT
aiti-13599	373	31	”	"	PUNCT
aiti-13599	373	32	ieee	ieee	NOUN
aiti-13599	373	33	transactions	transaction	NOUN
aiti-13599	373	34	on	on	ADP
aiti-13599	373	35	smart	smart	ADJ
aiti-13599	373	36	grid	grid	NOUN
aiti-13599	373	37	,	,	PUNCT
aiti-13599	373	38	vol	vol	NOUN
aiti-13599	373	39	.	.	PROPN
aiti-13599	373	40	14	14	NUM
aiti-13599	373	41	,	,	PUNCT
aiti-13599	373	42	no	no	INTJ
aiti-13599	373	43	.	.	NOUN
aiti-13599	373	44	3	3	NUM
aiti-13599	373	45	,	,	PUNCT
aiti-13599	373	46	pp	pp	ADJ
aiti-13599	373	47	.	.	PUNCT
aiti-13599	373	48	2352	2352	NUM
aiti-13599	373	49	-	-	SYM
aiti-13599	373	50	2366	2366	NUM
aiti-13599	373	51	,	,	PUNCT
aiti-13599	373	52	may	may	AUX
aiti-13599	373	53	2023	2023	NUM
aiti-13599	373	54	.	.	PUNCT
aiti-13599	374	1	[	[	X
aiti-13599	374	2	11	11	NUM
aiti-13599	374	3	]	]	PUNCT
aiti-13599	374	4	p.	p.	NOUN
aiti-13599	374	5	battyányi	battyányi	PROPN
aiti-13599	374	6	,	,	PUNCT
aiti-13599	374	7	t.	t.	NOUN
aiti-13599	374	8	mihálydeák	mihálydeák	NOUN
aiti-13599	374	9	,	,	PUNCT
aiti-13599	374	10	and	and	CCONJ
aiti-13599	374	11	g.	g.	PROPN
aiti-13599	374	12	vaszil	vaszil	PROPN
aiti-13599	374	13	,	,	PUNCT
aiti-13599	374	14	“	"	PUNCT
aiti-13599	374	15	rough	rough	ADJ
aiti-13599	374	16	-	-	PUNCT
aiti-13599	374	17	set	set	VERB
aiti-13599	374	18	-	-	PUNCT
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aiti-13599	374	20	approximation	approximation	NOUN
aiti-13599	374	21	spaces	space	NOUN
aiti-13599	374	22	for	for	ADP
aiti-13599	374	23	formal	formal	ADJ
aiti-13599	374	24	languages	language	NOUN
aiti-13599	374	25	,	,	PUNCT
aiti-13599	374	26	”	"	PUNCT
aiti-13599	374	27	journal	journal	NOUN
aiti-13599	374	28	of	of	ADP
aiti-13599	374	29	automata	automata	NOUN
aiti-13599	374	30	,	,	PUNCT
aiti-13599	374	31	languages	language	NOUN
aiti-13599	374	32	and	and	CCONJ
aiti-13599	374	33	combinatorics	combinatoric	NOUN
aiti-13599	374	34	,	,	PUNCT
aiti-13599	374	35	vol	vol	NOUN
aiti-13599	374	36	.	.	PROPN
aiti-13599	374	37	27	27	NUM
aiti-13599	374	38	,	,	PUNCT
aiti-13599	374	39	no	no	INTJ
aiti-13599	374	40	.	.	NOUN
aiti-13599	374	41	1	1	NUM
aiti-13599	374	42	-	-	SYM
aiti-13599	374	43	3	3	NUM
aiti-13599	374	44	,	,	PUNCT
aiti-13599	374	45	pp	pp	ADJ
aiti-13599	374	46	.	.	PUNCT
aiti-13599	374	47	79	79	NUM
aiti-13599	374	48	-	-	SYM
aiti-13599	374	49	90	90	NUM
aiti-13599	374	50	,	,	PUNCT
aiti-13599	374	51	2022	2022	NUM
aiti-13599	374	52	.	.	PUNCT
aiti-13599	375	1	[	[	X
aiti-13599	375	2	12	12	NUM
aiti-13599	375	3	]	]	X
aiti-13599	375	4	r.	r.	PROPN
aiti-13599	375	5	vogrin	vogrin	PROPN
aiti-13599	375	6	,	,	PUNCT
aiti-13599	375	7	r.	r.	PROPN
aiti-13599	375	8	meolic	meolic	PROPN
aiti-13599	375	9	,	,	PUNCT
aiti-13599	375	10	and	and	CCONJ
aiti-13599	375	11	t.	t.	PROPN
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aiti-13599	375	13	,	,	PUNCT
aiti-13599	375	14	“	"	PUNCT
aiti-13599	375	15	generating	generate	VERB
aiti-13599	375	16	and	and	CCONJ
aiti-13599	375	17	employing	employ	VERB
aiti-13599	375	18	witness	witness	NOUN
aiti-13599	375	19	automata	automata	NOUN
aiti-13599	375	20	for	for	ADP
aiti-13599	375	21	actlw	actlw	ADJ
aiti-13599	375	22	formulae	formulae	NOUN
aiti-13599	375	23	,	,	PUNCT
aiti-13599	375	24	”	"	PUNCT
aiti-13599	375	25	ieee	ieee	NOUN
aiti-13599	375	26	access	access	NOUN
aiti-13599	375	27	,	,	PUNCT
aiti-13599	375	28	vol	vol	NOUN
aiti-13599	375	29	.	.	PROPN
aiti-13599	375	30	10	10	NUM
aiti-13599	375	31	,	,	PUNCT
aiti-13599	375	32	pp	pp	ADJ
aiti-13599	375	33	.	.	PUNCT
aiti-13599	376	1	9889	9889	NUM
aiti-13599	376	2	-	-	SYM
aiti-13599	376	3	9905	9905	NUM
aiti-13599	376	4	,	,	PUNCT
aiti-13599	376	5	2022	2022	NUM
aiti-13599	376	6	.	.	PUNCT
aiti-13599	377	1	[	[	X
aiti-13599	377	2	13	13	NUM
aiti-13599	377	3	]	]	PUNCT
aiti-13599	377	4	s.	s.	PROPN
aiti-13599	377	5	krehlik	krehlik	PROPN
aiti-13599	377	6	,	,	PUNCT
aiti-13599	377	7	“	"	PUNCT
aiti-13599	377	8	n	n	CCONJ
aiti-13599	377	9	-	-	PUNCT
aiti-13599	377	10	ary	ary	ADJ
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aiti-13599	377	13	of	of	ADP
aiti-13599	377	14	multiautomata	multiautomata	NOUN
aiti-13599	377	15	with	with	ADP
aiti-13599	377	16	internal	internal	ADJ
aiti-13599	377	17	link	link	NOUN
aiti-13599	377	18	for	for	ADP
aiti-13599	377	19	autonomous	autonomous	ADJ
aiti-13599	377	20	control	control	NOUN
aiti-13599	377	21	of	of	ADP
aiti-13599	377	22	lane	lane	NOUN
aiti-13599	377	23	shifting	shifting	NOUN
aiti-13599	377	24	,	,	PUNCT
aiti-13599	377	25	”	"	PUNCT
aiti-13599	377	26	mathematics	mathematic	NOUN
aiti-13599	377	27	,	,	PUNCT
aiti-13599	377	28	vol	vol	NOUN
aiti-13599	377	29	.	.	PROPN
aiti-13599	377	30	8	8	NUM
aiti-13599	377	31	,	,	PUNCT
aiti-13599	377	32	no	no	INTJ
aiti-13599	377	33	.	.	NOUN
aiti-13599	377	34	5	5	NUM
aiti-13599	377	35	,	,	PUNCT
aiti-13599	377	36	article	article	NOUN
aiti-13599	377	37	no	no	NOUN
aiti-13599	377	38	.	.	PROPN
aiti-13599	377	39	835	835	NUM
aiti-13599	377	40	,	,	PUNCT
aiti-13599	377	41	may	may	AUX
aiti-13599	377	42	2020	2020	NUM
aiti-13599	377	43	.	.	PUNCT
aiti-13599	378	1	[	[	X
aiti-13599	378	2	14	14	NUM
aiti-13599	378	3	]	]	PUNCT
aiti-13599	378	4	m.	m.	NOUN
aiti-13599	378	5	dutta	dutta	PROPN
aiti-13599	378	6	,	,	PUNCT
aiti-13599	378	7	s.	s.	PROPN
aiti-13599	378	8	kalita	kalita	PROPN
aiti-13599	378	9	,	,	PUNCT
aiti-13599	378	10	and	and	CCONJ
aiti-13599	378	11	h.	h.	PROPN
aiti-13599	378	12	k.	k.	PROPN
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aiti-13599	378	14	,	,	PUNCT
aiti-13599	378	15	“	"	PUNCT
aiti-13599	378	16	cartesian	cartesian	ADJ
aiti-13599	378	17	product	product	NOUN
aiti-13599	378	18	of	of	ADP
aiti-13599	378	19	automata	automata	NOUN
aiti-13599	378	20	,	,	PUNCT
aiti-13599	378	21	”	"	PUNCT
aiti-13599	378	22	advances	advance	NOUN
aiti-13599	378	23	in	in	ADP
aiti-13599	378	24	mathematics	mathematic	NOUN
aiti-13599	378	25	:	:	PUNCT
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aiti-13599	378	27	journal	journal	NOUN
aiti-13599	378	28	,	,	PUNCT
aiti-13599	378	29	vol	vol	NOUN
aiti-13599	378	30	.	.	PROPN
aiti-13599	378	31	9	9	NUM
aiti-13599	378	32	,	,	PUNCT
aiti-13599	378	33	no	no	INTJ
aiti-13599	378	34	.	.	NOUN
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aiti-13599	378	36	,	,	PUNCT
aiti-13599	378	37	pp	pp	ADJ
aiti-13599	378	38	.	.	PUNCT
aiti-13599	379	1	7915	7915	NUM
aiti-13599	379	2	-	-	SYM
aiti-13599	379	3	7924	7924	NUM
aiti-13599	379	4	,	,	PUNCT
aiti-13599	379	5	2020	2020	NUM
aiti-13599	379	6	.	.	PUNCT
aiti-13599	380	1	[	[	X
aiti-13599	380	2	15	15	NUM
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aiti-13599	380	4	m.	m.	NOUN
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aiti-13599	380	6	,	,	PUNCT
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aiti-13599	380	10	and	and	CCONJ
aiti-13599	380	11	d.	d.	PROPN
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aiti-13599	380	13	,	,	PUNCT
aiti-13599	380	14	“	"	PUNCT
aiti-13599	380	15	n	n	CCONJ
aiti-13599	380	16	-	-	PUNCT
aiti-13599	380	17	ary	ary	ADJ
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aiti-13599	380	19	composition	composition	NOUN
aiti-13599	380	20	of	of	ADP
aiti-13599	380	21	automata	automata	NOUN
aiti-13599	380	22	,	,	PUNCT
aiti-13599	380	23	”	"	PUNCT
aiti-13599	380	24	soft	soft	ADJ
aiti-13599	380	25	computing	computing	NOUN
aiti-13599	380	26	,	,	PUNCT
aiti-13599	380	27	vol	vol	NOUN
aiti-13599	380	28	.	.	PROPN
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aiti-13599	380	30	,	,	PUNCT
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aiti-13599	380	32	.	.	NOUN
aiti-13599	380	33	3	3	NUM
aiti-13599	380	34	,	,	PUNCT
aiti-13599	380	35	pp	pp	ADJ
aiti-13599	380	36	.	.	PUNCT
aiti-13599	380	37	1837	1837	NUM
aiti-13599	380	38	-	-	SYM
aiti-13599	380	39	1849	1849	NUM
aiti-13599	380	40	,	,	PUNCT
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aiti-13599	380	43	.	.	PUNCT
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aiti-13599	381	2	16	16	NUM
aiti-13599	381	3	]	]	PUNCT
aiti-13599	381	4	x.	x.	PROPN
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aiti-13599	381	6	,	,	PUNCT
aiti-13599	381	7	w.	w.	PROPN
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aiti-13599	381	10	,	,	PUNCT
aiti-13599	381	11	d.	d.	PROPN
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aiti-13599	381	13	,	,	PUNCT
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aiti-13599	381	15	m.	m.	NOUN
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aiti-13599	381	17	,	,	PUNCT
aiti-13599	381	18	“	"	PUNCT
aiti-13599	381	19	o3fa	o3fa	NUM
aiti-13599	381	20	:	:	PUNCT
aiti-13599	381	21	a	a	DET
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aiti-13599	381	23	finite	finite	ADJ
aiti-13599	381	24	automata	automata	NOUN
aiti-13599	381	25	-	-	PUNCT
aiti-13599	381	26	based	base	VERB
aiti-13599	381	27	pattern	pattern	NOUN
aiti-13599	381	28	-	-	PUNCT
aiti-13599	381	29	matching	match	VERB
aiti-13599	381	30	engine	engine	NOUN
aiti-13599	381	31	for	for	ADP
aiti-13599	381	32	out	out	ADV
aiti-13599	381	33	-	-	PUNCT
aiti-13599	381	34	of	of	ADP
aiti-13599	381	35	-	-	PUNCT
aiti-13599	381	36	order	order	NOUN
aiti-13599	381	37	deep	deep	ADJ
aiti-13599	381	38	packet	packet	NOUN
aiti-13599	381	39	inspection	inspection	NOUN
aiti-13599	381	40	,	,	PUNCT
aiti-13599	381	41	”	"	PUNCT
aiti-13599	381	42	proceedings	proceeding	NOUN
aiti-13599	381	43	of	of	ADP
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aiti-13599	381	45	2016	2016	NUM
aiti-13599	381	46	symposium	symposium	NOUN
aiti-13599	381	47	on	on	ADP
aiti-13599	381	48	architectures	architecture	NOUN
aiti-13599	381	49	for	for	ADP
aiti-13599	381	50	networking	networking	NOUN
aiti-13599	381	51	and	and	CCONJ
aiti-13599	381	52	communications	communication	NOUN
aiti-13599	381	53	systems	system	NOUN
aiti-13599	381	54	,	,	PUNCT
aiti-13599	381	55	pp	pp	ADJ
aiti-13599	381	56	.	.	PUNCT
aiti-13599	382	1	1	1	NUM
aiti-13599	382	2	-	-	SYM
aiti-13599	382	3	11	11	NUM
aiti-13599	382	4	,	,	PUNCT
aiti-13599	382	5	march	march	PROPN
aiti-13599	382	6	2016	2016	NUM
aiti-13599	382	7	.	.	PUNCT
aiti-13599	383	1	[	[	X
aiti-13599	383	2	17	17	NUM
aiti-13599	383	3	]	]	PUNCT
aiti-13599	383	4	s.	s.	PROPN
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aiti-13599	383	6	,	,	PUNCT
aiti-13599	383	7	n.	n.	PROPN
aiti-13599	383	8	espitia	espitia	PROPN
aiti-13599	383	9	,	,	PUNCT
aiti-13599	383	10	and	and	CCONJ
aiti-13599	383	11	w.	w.	PROPN
aiti-13599	383	12	perruquetti	perruquetti	PROPN
aiti-13599	383	13	,	,	PUNCT
aiti-13599	383	14	“	"	PUNCT
aiti-13599	383	15	finite	finite	ADJ
aiti-13599	383	16	-	-	PUNCT
aiti-13599	383	17	time	time	NOUN
aiti-13599	383	18	estimation	estimation	NOUN
aiti-13599	383	19	of	of	ADP
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aiti-13599	383	21	-	-	PUNCT
aiti-13599	383	22	order	order	NOUN
aiti-13599	383	23	linear	linear	ADJ
aiti-13599	383	24	time	time	NOUN
aiti-13599	383	25	-	-	PUNCT
aiti-13599	383	26	invariant	invariant	ADJ
aiti-13599	383	27	systems	system	NOUN
aiti-13599	383	28	in	in	ADP
aiti-13599	383	29	the	the	DET
aiti-13599	383	30	presence	presence	NOUN
aiti-13599	383	31	of	of	ADP
aiti-13599	383	32	delayed	delay	VERB
aiti-13599	383	33	measurement	measurement	NOUN
aiti-13599	383	34	,	,	PUNCT
aiti-13599	383	35	”	"	PUNCT
aiti-13599	383	36	international	international	ADJ
aiti-13599	383	37	journal	journal	NOUN
aiti-13599	383	38	of	of	ADP
aiti-13599	383	39	robust	robust	ADJ
aiti-13599	383	40	and	and	CCONJ
aiti-13599	383	41	nonlinear	nonlinear	ADJ
aiti-13599	383	42	control	control	NOUN
aiti-13599	383	43	,	,	PUNCT
aiti-13599	383	44	vol	vol	NOUN
aiti-13599	383	45	.	.	PROPN
aiti-13599	384	1	33	33	NUM
aiti-13599	384	2	,	,	PUNCT
aiti-13599	384	3	no	no	INTJ
aiti-13599	384	4	.	.	NOUN
aiti-13599	384	5	15	15	NUM
aiti-13599	384	6	,	,	PUNCT
aiti-13599	384	7	pp	pp	ADJ
aiti-13599	384	8	.	.	PUNCT
aiti-13599	384	9	8951	8951	NUM
aiti-13599	384	10	-	-	SYM
aiti-13599	384	11	8976	8976	NUM
aiti-13599	384	12	,	,	PUNCT
aiti-13599	384	13	october	october	PROPN
aiti-13599	384	14	2023	2023	NUM
aiti-13599	384	15	.	.	PUNCT
aiti-13599	385	1	copyright	copyright	NOUN
aiti-13599	385	2	©	©	PROPN
aiti-13599	385	3	by	by	ADP
aiti-13599	385	4	the	the	DET
aiti-13599	385	5	authors	author	NOUN
aiti-13599	385	6	.	.	PUNCT
aiti-13599	386	1	licensee	licensee	PROPN
aiti-13599	386	2	taeti	taeti	PROPN
aiti-13599	386	3	,	,	PUNCT
aiti-13599	386	4	taiwan	taiwan	PROPN
aiti-13599	386	5	.	.	PUNCT
aiti-13599	387	1	this	this	DET
aiti-13599	387	2	article	article	NOUN
aiti-13599	387	3	is	be	AUX
aiti-13599	387	4	an	an	DET
aiti-13599	387	5	open	open	ADJ
aiti-13599	387	6	-	-	PUNCT
aiti-13599	387	7	access	access	NOUN
aiti-13599	387	8	article	article	NOUN
aiti-13599	387	9	distributed	distribute	VERB
aiti-13599	387	10	under	under	ADP
aiti-13599	387	11	the	the	DET
aiti-13599	387	12	terms	term	NOUN
aiti-13599	387	13	and	and	CCONJ
aiti-13599	387	14	conditions	condition	NOUN
aiti-13599	387	15	of	of	ADP
aiti-13599	387	16	the	the	DET
aiti-13599	387	17	creative	creative	ADJ
aiti-13599	387	18	commons	common	NOUN
aiti-13599	387	19	attribution	attribution	NOUN
aiti-13599	387	20	(	(	PUNCT
aiti-13599	387	21	cc	cc	NOUN
aiti-13599	387	22	by	by	ADP
aiti-13599	387	23	-	-	PUNCT
aiti-13599	387	24	nc	nc	NOUN
aiti-13599	387	25	)	)	PUNCT
aiti-13599	387	26	license	license	NOUN
aiti-13599	387	27	(	(	PUNCT
aiti-13599	387	28	https://creativecommons.org/licenses/by-nc/4.0/	https://creativecommons.org/licenses/by-nc/4.0/	NOUN
aiti-13599	387	29	)	)	PUNCT
aiti-13599	387	30	.	.	PUNCT