id	sid	tid	token	lemma	pos
ijassa-781	1	1	microsoft	microsoft	PROPN
ijassa-781	1	2	word	word	NOUN
ijassa-781	1	3	781	781	NUM
ijassa-781	1	4	leveraging	leverage	VERB
ijassa-781	1	5	category	category	NOUN
ijassa-781	1	6	theory	theory	NOUN
ijassa-781	1	7	in	in	ADP
ijassa-781	1	8	model	model	NOUN
ijassa-781	1	9	based	base	VERB
ijassa-781	1	10	enterprise	enterprise	NOUN
ijassa-781	1	11	adv	adv	PROPN
ijassa-781	1	12	syst	syst	PROPN
ijassa-781	1	13	sci	sci	PROPN
ijassa-781	1	14	appl	appl	PROPN
ijassa-781	1	15	2020	2020	NUM
ijassa-781	1	16	;	;	PUNCT
ijassa-781	1	17	01	01	NUM
ijassa-781	1	18	;	;	PUNCT
ijassa-781	1	19	50	50	NUM
ijassa-781	1	20	-	-	SYM
ijassa-781	1	21	65	65	NUM
ijassa-781	1	22	published	publish	VERB
ijassa-781	1	23	online	online	ADV
ijassa-781	1	24	at	at	ADP
ijassa-781	1	25	http://ijassa.ipu.ru/index.php/ijassa/article/view/781	http://ijassa.ipu.ru/index.php/ijassa/article/view/781	X
ijassa-781	1	26	leveraging	leverage	VERB
ijassa-781	1	27	category	category	NOUN
ijassa-781	1	28	theory	theory	NOUN
ijassa-781	1	29	in	in	ADP
ijassa-781	1	30	model	model	NOUN
ijassa-781	1	31	based	base	VERB
ijassa-781	1	32	enterprise	enterprise	NOUN
ijassa-781	1	33	serge	serge	PROPN
ijassa-781	1	34	p.	p.	PROPN
ijassa-781	1	35	kovalyov	kovalyov	PROPN
ijassa-781	2	1	*	*	PUNCT
ijassa-781	2	2	v.	v.	ADP
ijassa-781	2	3	a.	a.	PROPN
ijassa-781	2	4	trapeznikov	trapeznikov	PROPN
ijassa-781	2	5	institute	institute	PROPN
ijassa-781	2	6	of	of	ADP
ijassa-781	2	7	control	control	PROPN
ijassa-781	2	8	sciences	sciences	PROPN
ijassa-781	2	9	,	,	PUNCT
ijassa-781	2	10	russian	russian	ADJ
ijassa-781	2	11	academy	academy	PROPN
ijassa-781	2	12	of	of	ADP
ijassa-781	2	13	sciences	sciences	PROPN
ijassa-781	2	14	moscow	moscow	PROPN
ijassa-781	2	15	,	,	PUNCT
ijassa-781	2	16	russia	russia	PROPN
ijassa-781	2	17	e	e	NOUN
ijassa-781	2	18	-	-	NOUN
ijassa-781	2	19	mail	mail	NOUN
ijassa-781	2	20	:	:	PUNCT
ijassa-781	2	21	kovalyov@sibnet.ru	kovalyov@sibnet.ru	PROPN
ijassa-781	2	22	abstract	abstract	NOUN
ijassa-781	2	23	:	:	PUNCT
ijassa-781	2	24	a	a	DET
ijassa-781	2	25	mathematical	mathematical	ADJ
ijassa-781	2	26	framework	framework	NOUN
ijassa-781	2	27	based	base	VERB
ijassa-781	2	28	on	on	ADP
ijassa-781	2	29	category	category	NOUN
ijassa-781	2	30	theory	theory	NOUN
ijassa-781	2	31	is	be	AUX
ijassa-781	2	32	proposed	propose	VERB
ijassa-781	2	33	to	to	PART
ijassa-781	2	34	formally	formally	ADV
ijassa-781	2	35	describe	describe	VERB
ijassa-781	2	36	and	and	CCONJ
ijassa-781	2	37	explore	explore	VERB
ijassa-781	2	38	procedures	procedure	NOUN
ijassa-781	2	39	of	of	ADP
ijassa-781	2	40	modeling	model	VERB
ijassa-781	2	41	engineering	engineering	NOUN
ijassa-781	2	42	products	product	NOUN
ijassa-781	2	43	and	and	CCONJ
ijassa-781	2	44	processes	process	NOUN
ijassa-781	2	45	that	that	PRON
ijassa-781	2	46	comprise	comprise	VERB
ijassa-781	2	47	operation	operation	NOUN
ijassa-781	2	48	of	of	ADP
ijassa-781	2	49	a	a	DET
ijassa-781	2	50	model	model	NOUN
ijassa-781	2	51	-	-	PUNCT
ijassa-781	2	52	based	base	VERB
ijassa-781	2	53	enterprise	enterprise	NOUN
ijassa-781	2	54	.	.	PUNCT
ijassa-781	3	1	the	the	DET
ijassa-781	3	2	framework	framework	NOUN
ijassa-781	3	3	is	be	AUX
ijassa-781	3	4	intended	intend	VERB
ijassa-781	3	5	to	to	PART
ijassa-781	3	6	provide	provide	VERB
ijassa-781	3	7	interoperability	interoperability	NOUN
ijassa-781	3	8	across	across	ADP
ijassa-781	3	9	a	a	DET
ijassa-781	3	10	variety	variety	NOUN
ijassa-781	3	11	of	of	ADP
ijassa-781	3	12	engineering	engineering	NOUN
ijassa-781	3	13	modeling	modeling	NOUN
ijassa-781	3	14	languages	language	NOUN
ijassa-781	3	15	and	and	CCONJ
ijassa-781	3	16	tools	tool	NOUN
ijassa-781	3	17	,	,	PUNCT
ijassa-781	3	18	supplying	supply	VERB
ijassa-781	3	19	them	they	PRON
ijassa-781	3	20	with	with	ADP
ijassa-781	3	21	a	a	DET
ijassa-781	3	22	common	common	ADJ
ijassa-781	3	23	abstract	abstract	ADJ
ijassa-781	3	24	foundation	foundation	NOUN
ijassa-781	3	25	capable	capable	ADJ
ijassa-781	3	26	to	to	PART
ijassa-781	3	27	represent	represent	VERB
ijassa-781	3	28	,	,	PUNCT
ijassa-781	3	29	generate	generate	VERB
ijassa-781	3	30	,	,	PUNCT
ijassa-781	3	31	and	and	CCONJ
ijassa-781	3	32	verify	verify	VERB
ijassa-781	3	33	diverse	diverse	ADJ
ijassa-781	3	34	design	design	NOUN
ijassa-781	3	35	and	and	CCONJ
ijassa-781	3	36	production	production	NOUN
ijassa-781	3	37	knowledge	knowledge	NOUN
ijassa-781	3	38	.	.	PUNCT
ijassa-781	4	1	the	the	DET
ijassa-781	4	2	framework	framework	NOUN
ijassa-781	4	3	is	be	AUX
ijassa-781	4	4	leveraged	leverage	VERB
ijassa-781	4	5	via	via	ADP
ijassa-781	4	6	algebraic	algebraic	ADJ
ijassa-781	4	7	representation	representation	NOUN
ijassa-781	4	8	of	of	ADP
ijassa-781	4	9	product	product	NOUN
ijassa-781	4	10	configurations	configuration	NOUN
ijassa-781	4	11	as	as	ADP
ijassa-781	4	12	diagrams	diagram	NOUN
ijassa-781	4	13	in	in	ADP
ijassa-781	4	14	categories	category	NOUN
ijassa-781	4	15	with	with	ADP
ijassa-781	4	16	models	model	NOUN
ijassa-781	4	17	as	as	ADP
ijassa-781	4	18	objects	object	NOUN
ijassa-781	4	19	and	and	CCONJ
ijassa-781	4	20	descriptions	description	NOUN
ijassa-781	4	21	of	of	ADP
ijassa-781	4	22	actions	action	NOUN
ijassa-781	4	23	involved	involve	VERB
ijassa-781	4	24	into	into	ADP
ijassa-781	4	25	products	product	NOUN
ijassa-781	4	26	assembly	assembly	NOUN
ijassa-781	4	27	as	as	ADP
ijassa-781	4	28	morphisms	morphism	NOUN
ijassa-781	4	29	.	.	PUNCT
ijassa-781	5	1	relevance	relevance	NOUN
ijassa-781	5	2	of	of	ADP
ijassa-781	5	3	the	the	DET
ijassa-781	5	4	framework	framework	NOUN
ijassa-781	5	5	is	be	AUX
ijassa-781	5	6	justified	justify	VERB
ijassa-781	5	7	by	by	ADP
ijassa-781	5	8	appealing	appeal	VERB
ijassa-781	5	9	to	to	ADP
ijassa-781	5	10	systems	system	NOUN
ijassa-781	5	11	engineering	engineering	NOUN
ijassa-781	5	12	standards	standard	NOUN
ijassa-781	5	13	such	such	ADJ
ijassa-781	5	14	as	as	ADP
ijassa-781	5	15	iec	iec	NOUN
ijassa-781	5	16	81346	81346	NUM
ijassa-781	5	17	.	.	PUNCT
ijassa-781	6	1	category	category	NOUN
ijassa-781	6	2	theoretical	theoretical	ADJ
ijassa-781	6	3	methods	method	NOUN
ijassa-781	6	4	for	for	ADP
ijassa-781	6	5	solving	solve	VERB
ijassa-781	6	6	direct	direct	ADJ
ijassa-781	6	7	assembly	assembly	NOUN
ijassa-781	6	8	problems	problem	NOUN
ijassa-781	6	9	that	that	PRON
ijassa-781	6	10	consist	consist	VERB
ijassa-781	6	11	in	in	ADP
ijassa-781	6	12	constructing	construct	VERB
ijassa-781	6	13	a	a	DET
ijassa-781	6	14	product	product	NOUN
ijassa-781	6	15	model	model	NOUN
ijassa-781	6	16	from	from	ADP
ijassa-781	6	17	a	a	DET
ijassa-781	6	18	given	give	VERB
ijassa-781	6	19	configuration	configuration	NOUN
ijassa-781	6	20	are	be	AUX
ijassa-781	6	21	presented	present	VERB
ijassa-781	6	22	.	.	PUNCT
ijassa-781	7	1	specifically	specifically	ADV
ijassa-781	7	2	,	,	PUNCT
ijassa-781	7	3	solutions	solution	NOUN
ijassa-781	7	4	are	be	AUX
ijassa-781	7	5	obtained	obtain	VERB
ijassa-781	7	6	via	via	ADP
ijassa-781	7	7	the	the	DET
ijassa-781	7	8	universal	universal	ADJ
ijassa-781	7	9	construction	construction	NOUN
ijassa-781	7	10	called	call	VERB
ijassa-781	7	11	a	a	DET
ijassa-781	7	12	colimit	colimit	NOUN
ijassa-781	7	13	of	of	ADP
ijassa-781	7	14	a	a	DET
ijassa-781	7	15	diagram	diagram	NOUN
ijassa-781	7	16	.	.	PUNCT
ijassa-781	8	1	much	much	ADJ
ijassa-781	8	2	attention	attention	NOUN
ijassa-781	8	3	is	be	AUX
ijassa-781	8	4	then	then	ADV
ijassa-781	8	5	paid	pay	VERB
ijassa-781	8	6	to	to	ADP
ijassa-781	8	7	stating	state	VERB
ijassa-781	8	8	and	and	CCONJ
ijassa-781	8	9	solving	solve	VERB
ijassa-781	8	10	inverse	inverse	NOUN
ijassa-781	8	11	assembly	assembly	NOUN
ijassa-781	8	12	problems	problem	NOUN
ijassa-781	8	13	that	that	PRON
ijassa-781	8	14	consist	consist	VERB
ijassa-781	8	15	in	in	ADP
ijassa-781	8	16	recovery	recovery	NOUN
ijassa-781	8	17	and	and	CCONJ
ijassa-781	8	18	subsequent	subsequent	ADJ
ijassa-781	8	19	optimization	optimization	NOUN
ijassa-781	8	20	of	of	ADP
ijassa-781	8	21	the	the	DET
ijassa-781	8	22	configuration	configuration	NOUN
ijassa-781	8	23	from	from	ADP
ijassa-781	8	24	the	the	DET
ijassa-781	8	25	product	product	NOUN
ijassa-781	8	26	model	model	NOUN
ijassa-781	8	27	and	and	CCONJ
ijassa-781	8	28	assembly	assembly	NOUN
ijassa-781	8	29	actions	action	NOUN
ijassa-781	8	30	.	.	PUNCT
ijassa-781	9	1	inverse	inverse	ADJ
ijassa-781	9	2	problem	problem	NOUN
ijassa-781	9	3	solving	solving	NOUN
ijassa-781	9	4	is	be	AUX
ijassa-781	9	5	in	in	ADP
ijassa-781	9	6	demand	demand	NOUN
ijassa-781	9	7	for	for	ADP
ijassa-781	9	8	generative	generative	ADJ
ijassa-781	9	9	design	design	NOUN
ijassa-781	9	10	,	,	PUNCT
ijassa-781	9	11	viz	viz	PROPN
ijassa-781	9	12	.	.	PUNCT
ijassa-781	10	1	an	an	DET
ijassa-781	10	2	emerging	emerge	VERB
ijassa-781	10	3	fully	fully	ADV
ijassa-781	10	4	automatic	automatic	ADJ
ijassa-781	10	5	product	product	NOUN
ijassa-781	10	6	development	development	NOUN
ijassa-781	10	7	and	and	CCONJ
ijassa-781	10	8	manufacturing	manufacturing	NOUN
ijassa-781	10	9	technology	technology	NOUN
ijassa-781	10	10	.	.	PUNCT
ijassa-781	11	1	example	example	NOUN
ijassa-781	11	2	solutions	solution	NOUN
ijassa-781	11	3	to	to	PART
ijassa-781	11	4	direct	direct	VERB
ijassa-781	11	5	and	and	CCONJ
ijassa-781	11	6	inverse	inverse	NOUN
ijassa-781	11	7	problems	problem	NOUN
ijassa-781	11	8	are	be	AUX
ijassa-781	11	9	described	describe	VERB
ijassa-781	11	10	in	in	ADP
ijassa-781	11	11	categories	category	NOUN
ijassa-781	11	12	that	that	PRON
ijassa-781	11	13	represent	represent	VERB
ijassa-781	11	14	two	two	NUM
ijassa-781	11	15	major	major	ADJ
ijassa-781	11	16	areas	area	NOUN
ijassa-781	11	17	of	of	ADP
ijassa-781	11	18	model	model	NOUN
ijassa-781	11	19	-	-	PUNCT
ijassa-781	11	20	based	base	VERB
ijassa-781	11	21	enterprise	enterprise	NOUN
ijassa-781	11	22	operation	operation	NOUN
ijassa-781	11	23	:	:	PUNCT
ijassa-781	11	24	solid	solid	ADJ
ijassa-781	11	25	body	body	NOUN
ijassa-781	11	26	geometric	geometric	ADJ
ijassa-781	11	27	modeling	modeling	NOUN
ijassa-781	11	28	of	of	ADP
ijassa-781	11	29	mechanical	mechanical	ADJ
ijassa-781	11	30	products	product	NOUN
ijassa-781	11	31	and	and	CCONJ
ijassa-781	11	32	discrete	discrete	ADJ
ijassa-781	11	33	-	-	PUNCT
ijassa-781	11	34	event	event	NOUN
ijassa-781	11	35	simulation	simulation	NOUN
ijassa-781	11	36	of	of	ADP
ijassa-781	11	37	production	production	NOUN
ijassa-781	11	38	processes	process	NOUN
ijassa-781	11	39	.	.	PUNCT
ijassa-781	12	1	keywords	keyword	NOUN
ijassa-781	12	2	:	:	PUNCT
ijassa-781	12	3	model	model	NOUN
ijassa-781	12	4	-	-	PUNCT
ijassa-781	12	5	based	base	VERB
ijassa-781	12	6	enterprise	enterprise	NOUN
ijassa-781	12	7	,	,	PUNCT
ijassa-781	12	8	model	model	NOUN
ijassa-781	12	9	-	-	PUNCT
ijassa-781	12	10	based	base	VERB
ijassa-781	12	11	systems	system	NOUN
ijassa-781	12	12	engineering	engineering	NOUN
ijassa-781	12	13	,	,	PUNCT
ijassa-781	12	14	assembly	assembly	NOUN
ijassa-781	12	15	planning	planning	NOUN
ijassa-781	12	16	,	,	PUNCT
ijassa-781	12	17	generative	generative	ADJ
ijassa-781	12	18	design	design	NOUN
ijassa-781	12	19	,	,	PUNCT
ijassa-781	12	20	category	category	NOUN
ijassa-781	12	21	theory	theory	NOUN
ijassa-781	12	22	,	,	PUNCT
ijassa-781	12	23	colimit	colimit	VERB
ijassa-781	12	24	1	1	NUM
ijassa-781	12	25	.	.	PUNCT
ijassa-781	13	1	introduction	introduction	NOUN
ijassa-781	13	2	a	a	DET
ijassa-781	13	3	model	model	NOUN
ijassa-781	13	4	-	-	PUNCT
ijassa-781	13	5	based	base	VERB
ijassa-781	13	6	enterprise	enterprise	NOUN
ijassa-781	13	7	is	be	AUX
ijassa-781	13	8	a	a	DET
ijassa-781	13	9	type	type	NOUN
ijassa-781	13	10	of	of	ADP
ijassa-781	13	11	industrial	industrial	ADJ
ijassa-781	13	12	organization	organization	NOUN
ijassa-781	13	13	in	in	ADP
ijassa-781	13	14	which	which	PRON
ijassa-781	13	15	all	all	DET
ijassa-781	13	16	product	product	NOUN
ijassa-781	13	17	life	life	NOUN
ijassa-781	13	18	cycle	cycle	NOUN
ijassa-781	13	19	processes	process	NOUN
ijassa-781	13	20	are	be	AUX
ijassa-781	13	21	arranged	arrange	VERB
ijassa-781	13	22	around	around	ADP
ijassa-781	13	23	a	a	DET
ijassa-781	13	24	digital	digital	ADJ
ijassa-781	13	25	3d	3d	NUM
ijassa-781	13	26	-	-	PUNCT
ijassa-781	13	27	model	model	NOUN
ijassa-781	13	28	of	of	ADP
ijassa-781	13	29	the	the	DET
ijassa-781	13	30	product	product	NOUN
ijassa-781	13	31	annotated	annotate	VERB
ijassa-781	13	32	with	with	ADP
ijassa-781	13	33	detailed	detailed	ADJ
ijassa-781	13	34	product	product	NOUN
ijassa-781	13	35	manufacturing	manufacturing	NOUN
ijassa-781	13	36	information	information	NOUN
ijassa-781	13	37	(	(	PUNCT
ijassa-781	13	38	pmi	pmi	PROPN
ijassa-781	13	39	)	)	PUNCT
ijassa-781	14	1	[	[	X
ijassa-781	14	2	1	1	NUM
ijassa-781	14	3	]	]	PUNCT
ijassa-781	14	4	.	.	PUNCT
ijassa-781	15	1	techniques	technique	NOUN
ijassa-781	15	2	and	and	CCONJ
ijassa-781	15	3	tools	tool	NOUN
ijassa-781	15	4	to	to	PART
ijassa-781	15	5	develop	develop	VERB
ijassa-781	15	6	and	and	CCONJ
ijassa-781	15	7	leverage	leverage	VERB
ijassa-781	15	8	such	such	DET
ijassa-781	15	9	a	a	DET
ijassa-781	15	10	model	model	NOUN
ijassa-781	15	11	,	,	PUNCT
ijassa-781	15	12	with	with	ADP
ijassa-781	15	13	applicability	applicability	NOUN
ijassa-781	15	14	ranging	range	VERB
ijassa-781	15	15	from	from	ADP
ijassa-781	15	16	requirements	requirement	NOUN
ijassa-781	15	17	elicitation	elicitation	NOUN
ijassa-781	15	18	and	and	CCONJ
ijassa-781	15	19	analysis	analysis	NOUN
ijassa-781	15	20	through	through	ADP
ijassa-781	15	21	design	design	NOUN
ijassa-781	15	22	to	to	ADP
ijassa-781	15	23	manufacturing	manufacturing	NOUN
ijassa-781	15	24	,	,	PUNCT
ijassa-781	15	25	maintenance	maintenance	NOUN
ijassa-781	15	26	,	,	PUNCT
ijassa-781	15	27	and	and	CCONJ
ijassa-781	15	28	disposal	disposal	NOUN
ijassa-781	15	29	,	,	PUNCT
ijassa-781	15	30	are	be	AUX
ijassa-781	15	31	provided	provide	VERB
ijassa-781	15	32	by	by	ADP
ijassa-781	15	33	model	model	NOUN
ijassa-781	15	34	-	-	PUNCT
ijassa-781	15	35	based	base	VERB
ijassa-781	15	36	systems	system	NOUN
ijassa-781	15	37	engineering	engineering	NOUN
ijassa-781	15	38	(	(	PUNCT
ijassa-781	15	39	mbse	mbse	NOUN
ijassa-781	15	40	)	)	PUNCT
ijassa-781	15	41	.	.	PUNCT
ijassa-781	16	1	more	more	ADJ
ijassa-781	16	2	than	than	ADP
ijassa-781	16	3	a	a	DET
ijassa-781	16	4	decade	decade	NOUN
ijassa-781	16	5	has	have	AUX
ijassa-781	16	6	passed	pass	VERB
ijassa-781	16	7	since	since	SCONJ
ijassa-781	16	8	the	the	DET
ijassa-781	16	9	introduction	introduction	NOUN
ijassa-781	16	10	of	of	ADP
ijassa-781	16	11	the	the	DET
ijassa-781	16	12	model	model	NOUN
ijassa-781	16	13	-	-	PUNCT
ijassa-781	16	14	based	base	VERB
ijassa-781	16	15	enterprise	enterprise	NOUN
ijassa-781	16	16	concept	concept	NOUN
ijassa-781	16	17	,	,	PUNCT
ijassa-781	16	18	during	during	ADP
ijassa-781	16	19	which	which	PRON
ijassa-781	16	20	it	it	PRON
ijassa-781	16	21	gradually	gradually	ADV
ijassa-781	16	22	matured	mature	VERB
ijassa-781	16	23	to	to	ADP
ijassa-781	16	24	an	an	DET
ijassa-781	16	25	industrial	industrial	ADJ
ijassa-781	16	26	level	level	NOUN
ijassa-781	16	27	of	of	ADP
ijassa-781	16	28	readiness	readiness	NOUN
ijassa-781	16	29	for	for	ADP
ijassa-781	16	30	implementation	implementation	NOUN
ijassa-781	16	31	,	,	PUNCT
ijassa-781	16	32	with	with	ADP
ijassa-781	16	33	supporting	support	VERB
ijassa-781	16	34	standards	standard	NOUN
ijassa-781	16	35	,	,	PUNCT
ijassa-781	16	36	neutral	neutral	ADJ
ijassa-781	16	37	formats	format	NOUN
ijassa-781	16	38	,	,	PUNCT
ijassa-781	16	39	techniques	technique	NOUN
ijassa-781	16	40	,	,	PUNCT
ijassa-781	16	41	and	and	CCONJ
ijassa-781	16	42	software	software	NOUN
ijassa-781	16	43	tools	tool	NOUN
ijassa-781	16	44	for	for	ADP
ijassa-781	16	45	maintaining	maintain	VERB
ijassa-781	16	46	pmi	pmi	NOUN
ijassa-781	16	47	.	.	PUNCT
ijassa-781	17	1	recently	recently	ADV
ijassa-781	17	2	,	,	PUNCT
ijassa-781	17	3	in	in	ADP
ijassa-781	17	4	the	the	DET
ijassa-781	17	5	emerging	emerge	VERB
ijassa-781	17	6	industry	industry	NOUN
ijassa-781	17	7	4.0	4.0	NUM
ijassa-781	17	8	context	context	NOUN
ijassa-781	17	9	,	,	PUNCT
ijassa-781	17	10	new	new	ADJ
ijassa-781	17	11	challenges	challenge	NOUN
ijassa-781	17	12	arise	arise	VERB
ijassa-781	17	13	,	,	PUNCT
ijassa-781	17	14	associated	associate	VERB
ijassa-781	17	15	with	with	ADP
ijassa-781	17	16	upgrading	upgrade	VERB
ijassa-781	17	17	a	a	DET
ijassa-781	17	18	product	product	NOUN
ijassa-781	17	19	model	model	NOUN
ijassa-781	17	20	to	to	ADP
ijassa-781	17	21	the	the	DET
ijassa-781	17	22	level	level	NOUN
ijassa-781	17	23	of	of	ADP
ijassa-781	17	24	a	a	DET
ijassa-781	17	25	digital	digital	ADJ
ijassa-781	17	26	twin	twin	NOUN
ijassa-781	17	27	,	,	PUNCT
ijassa-781	17	28	viz	viz	PROPN
ijassa-781	17	29	.	.	PUNCT
ijassa-781	18	1	a	a	DET
ijassa-781	18	2	virtual	virtual	ADJ
ijassa-781	18	3	copy	copy	NOUN
ijassa-781	18	4	of	of	ADP
ijassa-781	18	5	the	the	DET
ijassa-781	18	6	product	product	NOUN
ijassa-781	18	7	that	that	PRON
ijassa-781	18	8	reliably	reliably	ADV
ijassa-781	18	9	reproduces	reproduce	VERB
ijassa-781	18	10	and	and	CCONJ
ijassa-781	18	11	imposes	impose	VERB
ijassa-781	18	12	the	the	DET
ijassa-781	18	13	structure	structure	NOUN
ijassa-781	18	14	,	,	PUNCT
ijassa-781	18	15	state	state	NOUN
ijassa-781	18	16	,	,	PUNCT
ijassa-781	18	17	and	and	CCONJ
ijassa-781	18	18	behavior	behavior	NOUN
ijassa-781	18	19	of	of	ADP
ijassa-781	18	20	the	the	DET
ijassa-781	18	21	physical	physical	ADJ
ijassa-781	18	22	original	original	NOUN
ijassa-781	18	23	in	in	ADP
ijassa-781	18	24	real	real	ADJ
ijassa-781	18	25	time	time	NOUN
ijassa-781	18	26	[	[	X
ijassa-781	18	27	2	2	NUM
ijassa-781	18	28	]	]	PUNCT
ijassa-781	18	29	.	.	PUNCT
ijassa-781	19	1	the	the	DET
ijassa-781	19	2	degree	degree	NOUN
ijassa-781	19	3	of	of	ADP
ijassa-781	19	4	design	design	NOUN
ijassa-781	19	5	and	and	CCONJ
ijassa-781	19	6	production	production	NOUN
ijassa-781	19	7	automation	automation	NOUN
ijassa-781	19	8	is	be	AUX
ijassa-781	19	9	increased	increase	VERB
ijassa-781	19	10	steadily	steadily	ADV
ijassa-781	19	11	,	,	PUNCT
ijassa-781	19	12	up	up	ADP
ijassa-781	19	13	to	to	PART
ijassa-781	19	14	complete	complete	VERB
ijassa-781	19	15	elimination	elimination	NOUN
ijassa-781	19	16	of	of	ADP
ijassa-781	19	17	human	human	ADJ
ijassa-781	19	18	intervention	intervention	NOUN
ijassa-781	19	19	in	in	ADP
ijassa-781	19	20	the	the	DET
ijassa-781	19	21	socalled	socalled	ADJ
ijassa-781	19	22	generative	generative	ADJ
ijassa-781	19	23	design	design	NOUN
ijassa-781	19	24	cycle	cycle	NOUN
ijassa-781	19	25	[	[	X
ijassa-781	19	26	3	3	NUM
ijassa-781	19	27	]	]	PUNCT
ijassa-781	19	28	.	.	PUNCT
ijassa-781	20	1	at	at	ADP
ijassa-781	20	2	the	the	DET
ijassa-781	20	3	same	same	ADJ
ijassa-781	20	4	time	time	NOUN
ijassa-781	20	5	,	,	PUNCT
ijassa-781	20	6	the	the	DET
ijassa-781	20	7	core	core	NOUN
ijassa-781	20	8	problem	problem	NOUN
ijassa-781	20	9	of	of	ADP
ijassa-781	20	10	specifying	specify	VERB
ijassa-781	20	11	the	the	DET
ijassa-781	20	12	product	product	NOUN
ijassa-781	20	13	model	model	NOUN
ijassa-781	20	14	in	in	ADP
ijassa-781	20	15	a	a	DET
ijassa-781	20	16	neutral	neutral	ADJ
ijassa-781	20	17	form	form	NOUN
ijassa-781	20	18	that	that	PRON
ijassa-781	20	19	guarantees	guarantee	VERB
ijassa-781	20	20	complete	complete	ADJ
ijassa-781	20	21	undistorted	undistorted	ADJ
ijassa-781	20	22	access	access	NOUN
ijassa-781	20	23	to	to	ADP
ijassa-781	20	24	it	it	PRON
ijassa-781	20	25	for	for	ADP
ijassa-781	20	26	all	all	DET
ijassa-781	20	27	life	life	NOUN
ijassa-781	20	28	cycle	cycle	NOUN
ijassa-781	20	29	participants	participant	NOUN
ijassa-781	20	30	and	and	CCONJ
ijassa-781	20	31	tools	tool	NOUN
ijassa-781	20	32	can	can	AUX
ijassa-781	20	33	not	not	PART
ijassa-781	20	34	be	be	AUX
ijassa-781	20	35	*	*	PUNCT
ijassa-781	20	36	corresponding	correspond	VERB
ijassa-781	20	37	author	author	NOUN
ijassa-781	20	38	:	:	PUNCT
ijassa-781	20	39	kovalyov@sibnet.ru	kovalyov@sibnet.ru	VERB
ijassa-781	20	40	leveraging	leverage	VERB
ijassa-781	20	41	category	category	NOUN
ijassa-781	20	42	theory	theory	NOUN
ijassa-781	20	43	in	in	ADP
ijassa-781	20	44	model	model	NOUN
ijassa-781	20	45	based	base	VERB
ijassa-781	20	46	enterprise	enterprise	NOUN
ijassa-781	20	47	51	51	NUM
ijassa-781	20	48	copyright	copyright	NOUN
ijassa-781	20	49	©	©	PROPN
ijassa-781	20	50	2020	2020	NUM
ijassa-781	20	51	assa	assa	NOUN
ijassa-781	20	52	.	.	PUNCT
ijassa-781	21	1	adv	adv	PROPN
ijassa-781	21	2	.	.	PUNCT
ijassa-781	22	1	in	in	ADP
ijassa-781	22	2	systems	system	NOUN
ijassa-781	22	3	science	science	NOUN
ijassa-781	22	4	and	and	CCONJ
ijassa-781	22	5	appl	appl	NOUN
ijassa-781	22	6	.	.	PUNCT
ijassa-781	23	1	(	(	PUNCT
ijassa-781	23	2	2020	2020	NUM
ijassa-781	23	3	)	)	PUNCT
ijassa-781	23	4	considered	consider	VERB
ijassa-781	23	5	solved	solve	VERB
ijassa-781	23	6	[	[	X
ijassa-781	23	7	4	4	NUM
ijassa-781	23	8	]	]	PUNCT
ijassa-781	23	9	.	.	PUNCT
ijassa-781	24	1	there	there	PRON
ijassa-781	24	2	are	be	VERB
ijassa-781	24	3	many	many	ADJ
ijassa-781	24	4	specific	specific	ADJ
ijassa-781	24	5	modeling	modeling	NOUN
ijassa-781	24	6	languages	language	NOUN
ijassa-781	24	7	,	,	PUNCT
ijassa-781	24	8	techniques	technique	NOUN
ijassa-781	24	9	,	,	PUNCT
ijassa-781	24	10	and	and	CCONJ
ijassa-781	24	11	tools	tool	NOUN
ijassa-781	24	12	that	that	PRON
ijassa-781	24	13	are	be	AUX
ijassa-781	24	14	poorly	poorly	ADV
ijassa-781	24	15	compatible	compatible	ADJ
ijassa-781	24	16	with	with	ADP
ijassa-781	24	17	each	each	DET
ijassa-781	24	18	other	other	ADJ
ijassa-781	24	19	.	.	PUNCT
ijassa-781	25	1	a	a	DET
ijassa-781	25	2	natural	natural	ADJ
ijassa-781	25	3	,	,	PUNCT
ijassa-781	25	4	albeit	albeit	SCONJ
ijassa-781	25	5	“	"	PUNCT
ijassa-781	25	6	difficult	difficult	ADJ
ijassa-781	25	7	”	"	PUNCT
ijassa-781	25	8	,	,	PUNCT
ijassa-781	25	9	approach	approach	NOUN
ijassa-781	25	10	to	to	PART
ijassa-781	25	11	make	make	VERB
ijassa-781	25	12	them	they	PRON
ijassa-781	25	13	interoperable	interoperable	ADJ
ijassa-781	25	14	consists	consist	VERB
ijassa-781	25	15	in	in	ADP
ijassa-781	25	16	supplying	supply	VERB
ijassa-781	25	17	them	they	PRON
ijassa-781	25	18	with	with	ADP
ijassa-781	25	19	a	a	DET
ijassa-781	25	20	common	common	ADJ
ijassa-781	25	21	abstract	abstract	ADJ
ijassa-781	25	22	formal	formal	ADJ
ijassa-781	25	23	framework	framework	NOUN
ijassa-781	25	24	of	of	ADP
ijassa-781	25	25	reference	reference	NOUN
ijassa-781	25	26	that	that	PRON
ijassa-781	25	27	is	be	AUX
ijassa-781	25	28	capable	capable	ADJ
ijassa-781	25	29	to	to	PART
ijassa-781	25	30	represent	represent	VERB
ijassa-781	25	31	,	,	PUNCT
ijassa-781	25	32	generate	generate	VERB
ijassa-781	25	33	,	,	PUNCT
ijassa-781	25	34	and	and	CCONJ
ijassa-781	25	35	verify	verify	VERB
ijassa-781	25	36	diverse	diverse	ADJ
ijassa-781	25	37	design	design	NOUN
ijassa-781	25	38	and	and	CCONJ
ijassa-781	25	39	production	production	NOUN
ijassa-781	25	40	knowledge	knowledge	NOUN
ijassa-781	25	41	.	.	PUNCT
ijassa-781	26	1	the	the	DET
ijassa-781	26	2	highest	high	ADJ
ijassa-781	26	3	level	level	NOUN
ijassa-781	26	4	of	of	ADP
ijassa-781	26	5	formality	formality	NOUN
ijassa-781	26	6	,	,	PUNCT
ijassa-781	26	7	generality	generality	NOUN
ijassa-781	26	8	,	,	PUNCT
ijassa-781	26	9	and	and	CCONJ
ijassa-781	26	10	verification	verification	NOUN
ijassa-781	26	11	power	power	NOUN
ijassa-781	26	12	is	be	AUX
ijassa-781	26	13	achievable	achievable	ADJ
ijassa-781	26	14	by	by	ADP
ijassa-781	26	15	leveraging	leverage	VERB
ijassa-781	26	16	appropriate	appropriate	ADJ
ijassa-781	26	17	mathematics	mathematic	NOUN
ijassa-781	26	18	.	.	PUNCT
ijassa-781	27	1	in	in	ADP
ijassa-781	27	2	this	this	DET
ijassa-781	27	3	paper	paper	NOUN
ijassa-781	27	4	,	,	PUNCT
ijassa-781	27	5	following	follow	VERB
ijassa-781	27	6	a	a	DET
ijassa-781	27	7	recent	recent	ADJ
ijassa-781	27	8	trend	trend	NOUN
ijassa-781	27	9	[	[	X
ijassa-781	27	10	5	5	NUM
ijassa-781	27	11	,	,	PUNCT
ijassa-781	27	12	6	6	NUM
ijassa-781	27	13	,	,	PUNCT
ijassa-781	27	14	7	7	NUM
ijassa-781	27	15	]	]	PUNCT
ijassa-781	27	16	,	,	PUNCT
ijassa-781	27	17	category	category	NOUN
ijassa-781	27	18	theory	theory	NOUN
ijassa-781	27	19	is	be	AUX
ijassa-781	27	20	employed	employ	VERB
ijassa-781	27	21	as	as	ADP
ijassa-781	27	22	such	such	DET
ijassa-781	27	23	a	a	DET
ijassa-781	27	24	framework	framework	NOUN
ijassa-781	27	25	.	.	PUNCT
ijassa-781	28	1	models	model	NOUN
ijassa-781	28	2	are	be	AUX
ijassa-781	28	3	treated	treat	VERB
ijassa-781	28	4	as	as	ADP
ijassa-781	28	5	objects	object	NOUN
ijassa-781	28	6	of	of	ADP
ijassa-781	28	7	suitable	suitable	ADJ
ijassa-781	28	8	categories	category	NOUN
ijassa-781	28	9	,	,	PUNCT
ijassa-781	28	10	in	in	ADP
ijassa-781	28	11	which	which	PRON
ijassa-781	28	12	morphisms	morphism	NOUN
ijassa-781	28	13	describe	describe	VERB
ijassa-781	28	14	actions	action	NOUN
ijassa-781	28	15	involved	involve	VERB
ijassa-781	28	16	into	into	ADP
ijassa-781	28	17	assembling	assemble	VERB
ijassa-781	28	18	complex	complex	ADJ
ijassa-781	28	19	products	product	NOUN
ijassa-781	28	20	.	.	PUNCT
ijassa-781	29	1	category	category	NOUN
ijassa-781	29	2	theoretical	theoretical	ADJ
ijassa-781	29	3	constructions	construction	NOUN
ijassa-781	29	4	that	that	PRON
ijassa-781	29	5	represent	represent	VERB
ijassa-781	29	6	mbse	mbse	NOUN
ijassa-781	29	7	techniques	technique	NOUN
ijassa-781	29	8	on	on	ADP
ijassa-781	29	9	abstract	abstract	ADJ
ijassa-781	29	10	conceptual	conceptual	ADJ
ijassa-781	29	11	level	level	NOUN
ijassa-781	29	12	are	be	AUX
ijassa-781	29	13	defined	define	VERB
ijassa-781	29	14	and	and	CCONJ
ijassa-781	29	15	studied	study	VERB
ijassa-781	29	16	.	.	PUNCT
ijassa-781	30	1	considerable	considerable	ADJ
ijassa-781	30	2	amount	amount	NOUN
ijassa-781	30	3	of	of	ADP
ijassa-781	30	4	experience	experience	NOUN
ijassa-781	30	5	in	in	ADP
ijassa-781	30	6	such	such	DET
ijassa-781	30	7	a	a	DET
ijassa-781	30	8	study	study	NOUN
ijassa-781	30	9	has	have	AUX
ijassa-781	30	10	been	be	AUX
ijassa-781	30	11	gathered	gather	VERB
ijassa-781	30	12	previously	previously	ADV
ijassa-781	30	13	in	in	ADP
ijassa-781	30	14	model	model	NOUN
ijassa-781	30	15	-	-	PUNCT
ijassa-781	30	16	based	base	VERB
ijassa-781	30	17	software	software	NOUN
ijassa-781	30	18	engineering	engineering	NOUN
ijassa-781	30	19	[	[	X
ijassa-781	30	20	8	8	NUM
ijassa-781	30	21	]	]	PUNCT
ijassa-781	30	22	and	and	CCONJ
ijassa-781	30	23	is	be	AUX
ijassa-781	30	24	now	now	ADV
ijassa-781	30	25	being	be	AUX
ijassa-781	30	26	transferred	transfer	VERB
ijassa-781	30	27	to	to	ADP
ijassa-781	30	28	systems	system	NOUN
ijassa-781	30	29	engineering	engineering	NOUN
ijassa-781	30	30	in	in	ADP
ijassa-781	30	31	general	general	ADJ
ijassa-781	30	32	.	.	PUNCT
ijassa-781	31	1	specifically	specifically	ADV
ijassa-781	31	2	,	,	PUNCT
ijassa-781	31	3	a	a	DET
ijassa-781	31	4	product	product	NOUN
ijassa-781	31	5	configuration	configuration	NOUN
ijassa-781	31	6	is	be	AUX
ijassa-781	31	7	established	establish	VERB
ijassa-781	31	8	to	to	PART
ijassa-781	31	9	be	be	AUX
ijassa-781	31	10	represented	represent	VERB
ijassa-781	31	11	as	as	ADP
ijassa-781	31	12	the	the	DET
ijassa-781	31	13	diagram	diagram	NOUN
ijassa-781	31	14	in	in	ADP
ijassa-781	31	15	a	a	DET
ijassa-781	31	16	category	category	NOUN
ijassa-781	31	17	of	of	ADP
ijassa-781	31	18	models	model	NOUN
ijassa-781	31	19	,	,	PUNCT
ijassa-781	31	20	and	and	CCONJ
ijassa-781	31	21	the	the	DET
ijassa-781	31	22	assembly	assembly	NOUN
ijassa-781	31	23	procedure	procedure	NOUN
ijassa-781	31	24	is	be	AUX
ijassa-781	31	25	formally	formally	ADV
ijassa-781	31	26	described	describe	VERB
ijassa-781	31	27	by	by	ADP
ijassa-781	31	28	a	a	DET
ijassa-781	31	29	universal	universal	ADJ
ijassa-781	31	30	construction	construction	NOUN
ijassa-781	31	31	called	call	VERB
ijassa-781	31	32	the	the	DET
ijassa-781	31	33	colimit	colimit	NOUN
ijassa-781	31	34	of	of	ADP
ijassa-781	31	35	this	this	DET
ijassa-781	31	36	diagram	diagram	NOUN
ijassa-781	32	1	[	[	X
ijassa-781	32	2	9	9	NUM
ijassa-781	32	3	]	]	PUNCT
ijassa-781	32	4	.	.	PUNCT
ijassa-781	33	1	in	in	ADP
ijassa-781	33	2	the	the	DET
ijassa-781	33	3	context	context	NOUN
ijassa-781	33	4	of	of	ADP
ijassa-781	33	5	generative	generative	ADJ
ijassa-781	33	6	design	design	NOUN
ijassa-781	33	7	,	,	PUNCT
ijassa-781	33	8	the	the	DET
ijassa-781	33	9	inverse	inverse	NOUN
ijassa-781	33	10	assembly	assembly	NOUN
ijassa-781	33	11	problems	problem	NOUN
ijassa-781	33	12	are	be	AUX
ijassa-781	33	13	stated	state	VERB
ijassa-781	33	14	,	,	PUNCT
ijassa-781	33	15	solving	solve	VERB
ijassa-781	33	16	of	of	ADP
ijassa-781	33	17	which	which	PRON
ijassa-781	33	18	amounts	amount	VERB
ijassa-781	33	19	to	to	ADP
ijassa-781	33	20	reconstructing	reconstruct	VERB
ijassa-781	33	21	a	a	DET
ijassa-781	33	22	diagram	diagram	NOUN
ijassa-781	33	23	from	from	ADP
ijassa-781	33	24	a	a	DET
ijassa-781	33	25	fragment	fragment	NOUN
ijassa-781	33	26	of	of	ADP
ijassa-781	33	27	its	its	PRON
ijassa-781	33	28	colimit	colimit	NOUN
ijassa-781	33	29	[	[	X
ijassa-781	33	30	10	10	NUM
ijassa-781	33	31	]	]	PUNCT
ijassa-781	33	32	.	.	PUNCT
ijassa-781	34	1	some	some	DET
ijassa-781	34	2	approaches	approach	NOUN
ijassa-781	34	3	to	to	PART
ijassa-781	34	4	“	"	PUNCT
ijassa-781	34	5	categorify	categorify	VERB
ijassa-781	34	6	”	"	PUNCT
ijassa-781	34	7	the	the	DET
ijassa-781	34	8	engineering	engineering	NOUN
ijassa-781	34	9	domain	domain	NOUN
ijassa-781	34	10	are	be	AUX
ijassa-781	34	11	presented	present	VERB
ijassa-781	34	12	in	in	ADP
ijassa-781	34	13	the	the	DET
ijassa-781	34	14	literature	literature	NOUN
ijassa-781	34	15	.	.	PUNCT
ijassa-781	35	1	for	for	ADP
ijassa-781	35	2	example	example	NOUN
ijassa-781	35	3	,	,	PUNCT
ijassa-781	35	4	the	the	DET
ijassa-781	35	5	framework	framework	NOUN
ijassa-781	35	6	for	for	ADP
ijassa-781	35	7	ontology	ontology	NOUN
ijassa-781	35	8	and	and	CCONJ
ijassa-781	35	9	database	database	NOUN
ijassa-781	35	10	design	design	NOUN
ijassa-781	35	11	is	be	AUX
ijassa-781	35	12	proposed	propose	VERB
ijassa-781	35	13	,	,	PUNCT
ijassa-781	35	14	where	where	SCONJ
ijassa-781	35	15	objects	object	NOUN
ijassa-781	35	16	of	of	ADP
ijassa-781	35	17	the	the	DET
ijassa-781	35	18	categories	category	NOUN
ijassa-781	35	19	represent	represent	VERB
ijassa-781	35	20	information	information	NOUN
ijassa-781	35	21	entities	entity	NOUN
ijassa-781	35	22	that	that	PRON
ijassa-781	35	23	specify	specify	VERB
ijassa-781	35	24	various	various	ADJ
ijassa-781	35	25	aspects	aspect	NOUN
ijassa-781	35	26	(	(	PUNCT
ijassa-781	35	27	facets	facet	NOUN
ijassa-781	35	28	)	)	PUNCT
ijassa-781	35	29	of	of	ADP
ijassa-781	35	30	products	product	NOUN
ijassa-781	35	31	;	;	PUNCT
ijassa-781	35	32	and	and	CCONJ
ijassa-781	35	33	morphisms	morphism	NOUN
ijassa-781	35	34	describe	describe	VERB
ijassa-781	35	35	functional	functional	ADJ
ijassa-781	35	36	relationships	relationship	NOUN
ijassa-781	35	37	like	like	ADP
ijassa-781	35	38	“	"	PUNCT
ijassa-781	35	39	has	have	AUX
ijassa-781	35	40	”	"	PUNCT
ijassa-781	35	41	or	or	CCONJ
ijassa-781	35	42	“	"	PUNCT
ijassa-781	35	43	contains	contain	VERB
ijassa-781	35	44	”	"	PUNCT
ijassa-781	35	45	that	that	PRON
ijassa-781	35	46	connect	connect	VERB
ijassa-781	35	47	entities	entity	NOUN
ijassa-781	35	48	to	to	ADP
ijassa-781	35	49	meaningful	meaningful	ADJ
ijassa-781	35	50	databases	database	NOUN
ijassa-781	35	51	[	[	X
ijassa-781	35	52	11	11	NUM
ijassa-781	35	53	]	]	PUNCT
ijassa-781	35	54	.	.	PUNCT
ijassa-781	36	1	in	in	ADP
ijassa-781	36	2	[	[	X
ijassa-781	36	3	12	12	NUM
ijassa-781	36	4	]	]	PUNCT
ijassa-781	36	5	,	,	PUNCT
ijassa-781	36	6	a	a	DET
ijassa-781	36	7	symmetric	symmetric	ADJ
ijassa-781	36	8	monoidal	monoidal	ADJ
ijassa-781	36	9	category	category	NOUN
ijassa-781	36	10	is	be	AUX
ijassa-781	36	11	constructed	construct	VERB
ijassa-781	36	12	whose	whose	DET
ijassa-781	36	13	associated	associated	ADJ
ijassa-781	36	14	graphical	graphical	ADJ
ijassa-781	36	15	language	language	NOUN
ijassa-781	36	16	is	be	AUX
ijassa-781	36	17	capable	capable	ADJ
ijassa-781	36	18	to	to	PART
ijassa-781	36	19	represent	represent	VERB
ijassa-781	36	20	signal	signal	NOUN
ijassa-781	36	21	-	-	PUNCT
ijassa-781	36	22	flow	flow	NOUN
ijassa-781	36	23	diagrams	diagram	NOUN
ijassa-781	36	24	of	of	ADP
ijassa-781	36	25	control	control	NOUN
ijassa-781	36	26	theory	theory	NOUN
ijassa-781	36	27	:	:	PUNCT
ijassa-781	36	28	control	control	NOUN
ijassa-781	36	29	system	system	NOUN
ijassa-781	36	30	state	state	NOUN
ijassa-781	36	31	spaces	space	NOUN
ijassa-781	36	32	,	,	PUNCT
ijassa-781	36	33	comprised	comprise	VERB
ijassa-781	36	34	by	by	ADP
ijassa-781	36	35	finite	finite	ADJ
ijassa-781	36	36	vectors	vector	NOUN
ijassa-781	36	37	of	of	ADP
ijassa-781	36	38	signals	signal	NOUN
ijassa-781	36	39	,	,	PUNCT
ijassa-781	36	40	are	be	AUX
ijassa-781	36	41	objects	object	NOUN
ijassa-781	36	42	of	of	ADP
ijassa-781	36	43	the	the	DET
ijassa-781	36	44	category	category	NOUN
ijassa-781	36	45	,	,	PUNCT
ijassa-781	36	46	and	and	CCONJ
ijassa-781	36	47	signal	signal	NOUN
ijassa-781	36	48	processing	processing	NOUN
ijassa-781	36	49	devices	device	NOUN
ijassa-781	36	50	are	be	AUX
ijassa-781	36	51	represented	represent	VERB
ijassa-781	36	52	by	by	ADP
ijassa-781	36	53	morphisms	morphism	NOUN
ijassa-781	36	54	.	.	PUNCT
ijassa-781	37	1	our	our	PRON
ijassa-781	37	2	approach	approach	NOUN
ijassa-781	37	3	differs	differ	VERB
ijassa-781	37	4	from	from	ADP
ijassa-781	37	5	these	these	PRON
ijassa-781	37	6	and	and	CCONJ
ijassa-781	37	7	others	other	NOUN
ijassa-781	37	8	in	in	ADP
ijassa-781	37	9	strong	strong	ADJ
ijassa-781	37	10	adhering	adhere	VERB
ijassa-781	37	11	to	to	ADP
ijassa-781	37	12	the	the	DET
ijassa-781	37	13	model	model	NOUN
ijassa-781	37	14	-	-	PUNCT
ijassa-781	37	15	based	base	VERB
ijassa-781	37	16	paradigm	paradigm	NOUN
ijassa-781	37	17	,	,	PUNCT
ijassa-781	37	18	where	where	SCONJ
ijassa-781	37	19	models	model	NOUN
ijassa-781	37	20	and	and	CCONJ
ijassa-781	37	21	manipulations	manipulation	NOUN
ijassa-781	37	22	with	with	ADP
ijassa-781	37	23	them	they	PRON
ijassa-781	37	24	are	be	AUX
ijassa-781	37	25	taken	take	VERB
ijassa-781	37	26	for	for	ADP
ijassa-781	37	27	primary	primary	ADJ
ijassa-781	37	28	entities	entity	NOUN
ijassa-781	37	29	and	and	CCONJ
ijassa-781	37	30	thus	thus	ADV
ijassa-781	37	31	represented	represent	VERB
ijassa-781	37	32	by	by	ADP
ijassa-781	37	33	objects	object	NOUN
ijassa-781	37	34	and	and	CCONJ
ijassa-781	37	35	morphisms	morphism	NOUN
ijassa-781	37	36	,	,	PUNCT
ijassa-781	37	37	respectively	respectively	ADV
ijassa-781	37	38	.	.	PUNCT
ijassa-781	38	1	the	the	DET
ijassa-781	38	2	paper	paper	NOUN
ijassa-781	38	3	is	be	AUX
ijassa-781	38	4	composed	compose	VERB
ijassa-781	38	5	as	as	SCONJ
ijassa-781	38	6	follows	follow	VERB
ijassa-781	38	7	.	.	PUNCT
ijassa-781	39	1	section	section	NOUN
ijassa-781	39	2	2	2	NUM
ijassa-781	39	3	is	be	AUX
ijassa-781	39	4	devoted	devote	VERB
ijassa-781	39	5	to	to	PART
ijassa-781	39	6	overview	overview	NOUN
ijassa-781	39	7	of	of	ADP
ijassa-781	39	8	problems	problem	NOUN
ijassa-781	39	9	pertaining	pertain	VERB
ijassa-781	39	10	to	to	ADP
ijassa-781	39	11	assembling	assemble	VERB
ijassa-781	39	12	products	product	NOUN
ijassa-781	39	13	in	in	ADP
ijassa-781	39	14	model	model	NOUN
ijassa-781	39	15	-	-	PUNCT
ijassa-781	39	16	based	base	VERB
ijassa-781	39	17	setting	setting	NOUN
ijassa-781	39	18	.	.	PUNCT
ijassa-781	40	1	in	in	ADP
ijassa-781	40	2	sections	section	NOUN
ijassa-781	40	3	3	3	NUM
ijassa-781	40	4	and	and	CCONJ
ijassa-781	40	5	4	4	NUM
ijassa-781	40	6	,	,	PUNCT
ijassa-781	40	7	category	category	NOUN
ijassa-781	40	8	theoretical	theoretical	ADJ
ijassa-781	40	9	means	mean	NOUN
ijassa-781	40	10	to	to	PART
ijassa-781	40	11	solve	solve	VERB
ijassa-781	40	12	direct	direct	ADJ
ijassa-781	40	13	and	and	CCONJ
ijassa-781	40	14	inverse	inverse	NOUN
ijassa-781	40	15	assembly	assembly	NOUN
ijassa-781	40	16	problems	problem	NOUN
ijassa-781	40	17	are	be	AUX
ijassa-781	40	18	presented	present	VERB
ijassa-781	40	19	,	,	PUNCT
ijassa-781	40	20	respectively	respectively	ADV
ijassa-781	40	21	.	.	PUNCT
ijassa-781	41	1	some	some	DET
ijassa-781	41	2	conclusions	conclusion	NOUN
ijassa-781	41	3	and	and	CCONJ
ijassa-781	41	4	directions	direction	NOUN
ijassa-781	41	5	for	for	ADP
ijassa-781	41	6	further	further	ADJ
ijassa-781	41	7	research	research	NOUN
ijassa-781	41	8	are	be	AUX
ijassa-781	41	9	outlined	outline	VERB
ijassa-781	41	10	in	in	ADP
ijassa-781	41	11	section	section	NOUN
ijassa-781	41	12	5	5	NUM
ijassa-781	41	13	.	.	NOUN
ijassa-781	42	1	2	2	NUM
ijassa-781	42	2	.	.	X
ijassa-781	42	3	direct	direct	ADJ
ijassa-781	42	4	and	and	CCONJ
ijassa-781	42	5	inverse	inverse	NOUN
ijassa-781	42	6	problems	problem	NOUN
ijassa-781	42	7	of	of	ADP
ijassa-781	42	8	assembling	assemble	VERB
ijassa-781	42	9	products	product	NOUN
ijassa-781	42	10	in	in	ADP
ijassa-781	42	11	mbse	mbse	NOUN
ijassa-781	42	12	,	,	PUNCT
ijassa-781	42	13	products	product	NOUN
ijassa-781	42	14	,	,	PUNCT
ijassa-781	42	15	parts	part	NOUN
ijassa-781	42	16	,	,	PUNCT
ijassa-781	42	17	and	and	CCONJ
ijassa-781	42	18	equipment	equipment	NOUN
ijassa-781	42	19	are	be	AUX
ijassa-781	42	20	represented	represent	VERB
ijassa-781	42	21	by	by	ADP
ijassa-781	42	22	formalized	formalize	VERB
ijassa-781	42	23	models	model	NOUN
ijassa-781	42	24	of	of	ADP
ijassa-781	42	25	various	various	ADJ
ijassa-781	42	26	types	type	NOUN
ijassa-781	42	27	:	:	PUNCT
ijassa-781	42	28	digital	digital	ADJ
ijassa-781	42	29	images	image	NOUN
ijassa-781	42	30	of	of	ADP
ijassa-781	42	31	geometric	geometric	ADJ
ijassa-781	42	32	shapes	shape	NOUN
ijassa-781	42	33	and	and	CCONJ
ijassa-781	42	34	bodies	body	NOUN
ijassa-781	42	35	,	,	PUNCT
ijassa-781	42	36	numerical	numerical	ADJ
ijassa-781	42	37	approximations	approximation	NOUN
ijassa-781	42	38	of	of	ADP
ijassa-781	42	39	differential	differential	ADJ
ijassa-781	42	40	equations	equation	NOUN
ijassa-781	42	41	,	,	PUNCT
ijassa-781	42	42	labeled	label	VERB
ijassa-781	42	43	graphs	graph	NOUN
ijassa-781	42	44	,	,	PUNCT
ijassa-781	42	45	databases	database	NOUN
ijassa-781	42	46	,	,	PUNCT
ijassa-781	42	47	etc	etc	X
ijassa-781	42	48	.	.	X
ijassa-781	42	49	herewith	herewith	PROPN
ijassa-781	42	50	,	,	PUNCT
ijassa-781	42	51	the	the	DET
ijassa-781	42	52	internal	internal	ADJ
ijassa-781	42	53	structure	structure	NOUN
ijassa-781	42	54	of	of	ADP
ijassa-781	42	55	models	model	NOUN
ijassa-781	42	56	is	be	AUX
ijassa-781	42	57	not	not	PART
ijassa-781	42	58	so	so	ADV
ijassa-781	42	59	much	much	ADV
ijassa-781	42	60	necessary	necessary	ADJ
ijassa-781	42	61	to	to	PART
ijassa-781	42	62	be	be	AUX
ijassa-781	42	63	known	know	VERB
ijassa-781	42	64	at	at	ADP
ijassa-781	42	65	decomposing	decompose	VERB
ijassa-781	42	66	the	the	DET
ijassa-781	42	67	product	product	NOUN
ijassa-781	42	68	into	into	ADP
ijassa-781	42	69	assembly	assembly	NOUN
ijassa-781	42	70	units	unit	NOUN
ijassa-781	42	71	and	and	CCONJ
ijassa-781	42	72	planning	plan	VERB
ijassa-781	42	73	the	the	DET
ijassa-781	42	74	production	production	NOUN
ijassa-781	42	75	process	process	NOUN
ijassa-781	42	76	.	.	PUNCT
ijassa-781	43	1	the	the	DET
ijassa-781	43	2	range	range	NOUN
ijassa-781	43	3	of	of	ADP
ijassa-781	43	4	model	model	NOUN
ijassa-781	43	5	capabilities	capability	NOUN
ijassa-781	43	6	to	to	PART
ijassa-781	43	7	connect	connect	VERB
ijassa-781	43	8	with	with	ADP
ijassa-781	43	9	other	other	ADJ
ijassa-781	43	10	models	model	NOUN
ijassa-781	43	11	is	be	AUX
ijassa-781	43	12	more	more	ADV
ijassa-781	43	13	important	important	ADJ
ijassa-781	43	14	in	in	ADP
ijassa-781	43	15	order	order	NOUN
ijassa-781	43	16	to	to	PART
ijassa-781	43	17	create	create	VERB
ijassa-781	43	18	a	a	DET
ijassa-781	43	19	hierarchy	hierarchy	NOUN
ijassa-781	43	20	of	of	ADP
ijassa-781	43	21	assembly	assembly	NOUN
ijassa-781	43	22	unit	unit	NOUN
ijassa-781	43	23	models	model	NOUN
ijassa-781	43	24	.	.	PUNCT
ijassa-781	44	1	in	in	ADP
ijassa-781	44	2	other	other	ADJ
ijassa-781	44	3	words	word	NOUN
ijassa-781	44	4	,	,	PUNCT
ijassa-781	44	5	the	the	DET
ijassa-781	44	6	models	model	NOUN
ijassa-781	44	7	are	be	AUX
ijassa-781	44	8	usually	usually	ADV
ijassa-781	44	9	considered	consider	VERB
ijassa-781	44	10	as	as	ADP
ijassa-781	44	11	“	"	PUNCT
ijassa-781	44	12	black	black	ADJ
ijassa-781	44	13	boxes	box	NOUN
ijassa-781	44	14	”	"	PUNCT
ijassa-781	44	15	with	with	ADP
ijassa-781	44	16	known	know	VERB
ijassa-781	44	17	behavior	behavior	NOUN
ijassa-781	44	18	with	with	ADP
ijassa-781	44	19	respect	respect	NOUN
ijassa-781	44	20	to	to	ADP
ijassa-781	44	21	other	other	ADJ
ijassa-781	44	22	models	model	NOUN
ijassa-781	44	23	,	,	PUNCT
ijassa-781	44	24	and	and	CCONJ
ijassa-781	44	25	are	be	AUX
ijassa-781	44	26	combined	combine	VERB
ijassa-781	44	27	into	into	ADP
ijassa-781	44	28	structural	structural	ADJ
ijassa-781	44	29	schematics	schematic	NOUN
ijassa-781	44	30	of	of	ADP
ijassa-781	44	31	complex	complex	ADJ
ijassa-781	44	32	products	product	NOUN
ijassa-781	44	33	and	and	CCONJ
ijassa-781	44	34	processes	process	NOUN
ijassa-781	44	35	,	,	PUNCT
ijassa-781	44	36	as	as	SCONJ
ijassa-781	44	37	shown	show	VERB
ijassa-781	44	38	in	in	ADP
ijassa-781	44	39	fig	fig	NOUN
ijassa-781	44	40	.	.	PUNCT
ijassa-781	45	1	1	1	NUM
ijassa-781	46	1	[	[	X
ijassa-781	46	2	13	13	NUM
ijassa-781	46	3	]	]	PUNCT
ijassa-781	46	4	.	.	PUNCT
ijassa-781	47	1	hence	hence	ADV
ijassa-781	47	2	,	,	PUNCT
ijassa-781	47	3	model	model	NOUN
ijassa-781	47	4	-	-	PUNCT
ijassa-781	47	5	based	base	VERB
ijassa-781	47	6	production	production	NOUN
ijassa-781	47	7	planning	planning	NOUN
ijassa-781	47	8	procedures	procedure	NOUN
ijassa-781	47	9	and	and	CCONJ
ijassa-781	47	10	software	software	NOUN
ijassa-781	47	11	tools	tool	NOUN
ijassa-781	47	12	operate	operate	VERB
ijassa-781	47	13	over	over	ADP
ijassa-781	47	14	a	a	DET
ijassa-781	47	15	virtual	virtual	ADJ
ijassa-781	47	16	catalog	catalog	NOUN
ijassa-781	47	17	of	of	ADP
ijassa-781	47	18	models	model	NOUN
ijassa-781	47	19	and	and	CCONJ
ijassa-781	47	20	descriptions	description	NOUN
ijassa-781	47	21	of	of	ADP
ijassa-781	47	22	possible	possible	ADJ
ijassa-781	47	23	actions	action	NOUN
ijassa-781	47	24	involved	involve	VERB
ijassa-781	47	25	into	into	ADP
ijassa-781	47	26	composing	compose	VERB
ijassa-781	47	27	assembly	assembly	NOUN
ijassa-781	47	28	units	unit	NOUN
ijassa-781	47	29	.	.	PUNCT
ijassa-781	48	1	this	this	DET
ijassa-781	48	2	point	point	NOUN
ijassa-781	48	3	of	of	ADP
ijassa-781	48	4	view	view	NOUN
ijassa-781	48	5	is	be	AUX
ijassa-781	48	6	substantiated	substantiate	VERB
ijassa-781	48	7	by	by	ADP
ijassa-781	48	8	systems	system	NOUN
ijassa-781	48	9	engineering	engineering	NOUN
ijassa-781	48	10	standards	standard	NOUN
ijassa-781	48	11	such	such	ADJ
ijassa-781	48	12	as	as	ADP
ijassa-781	48	13	iec	iec	NOUN
ijassa-781	48	14	81346	81346	NUM
ijassa-781	48	15	“	"	PUNCT
ijassa-781	48	16	industrial	industrial	ADJ
ijassa-781	48	17	systems	system	NOUN
ijassa-781	48	18	,	,	PUNCT
ijassa-781	48	19	installations	installation	NOUN
ijassa-781	48	20	and	and	CCONJ
ijassa-781	48	21	equipment	equipment	NOUN
ijassa-781	48	22	and	and	CCONJ
ijassa-781	48	23	industrial	industrial	ADJ
ijassa-781	48	24	products	product	NOUN
ijassa-781	48	25	—	—	PUNCT
ijassa-781	48	26	structuring	structure	VERB
ijassa-781	48	27	principles	principle	NOUN
ijassa-781	48	28	and	and	CCONJ
ijassa-781	48	29	reference	reference	NOUN
ijassa-781	48	30	designations	designation	NOUN
ijassa-781	48	31	”	"	PUNCT
ijassa-781	48	32	.	.	PUNCT
ijassa-781	49	1	this	this	DET
ijassa-781	49	2	standard	standard	NOUN
ijassa-781	49	3	prescribes	prescribe	VERB
ijassa-781	49	4	to	to	PART
ijassa-781	49	5	represent	represent	VERB
ijassa-781	49	6	the	the	DET
ijassa-781	49	7	complex	complex	ADJ
ijassa-781	49	8	product	product	NOUN
ijassa-781	49	9	structure	structure	NOUN
ijassa-781	49	10	as	as	ADP
ijassa-781	49	11	a	a	DET
ijassa-781	49	12	directed	direct	VERB
ijassa-781	49	13	graph	graph	NOUN
ijassa-781	49	14	of	of	ADP
ijassa-781	49	15	the	the	DET
ijassa-781	49	16	hierarchy	hierarchy	NOUN
ijassa-781	49	17	of	of	ADP
ijassa-781	49	18	units	unit	NOUN
ijassa-781	49	19	that	that	PRON
ijassa-781	49	20	are	be	AUX
ijassa-781	49	21	denoted	denote	VERB
ijassa-781	49	22	by	by	ADP
ijassa-781	49	23	reference	reference	NOUN
ijassa-781	49	24	designations	designation	NOUN
ijassa-781	49	25	.	.	PUNCT
ijassa-781	50	1	the	the	DET
ijassa-781	50	2	structure	structure	NOUN
ijassa-781	50	3	and	and	CCONJ
ijassa-781	50	4	related	relate	VERB
ijassa-781	50	5	labeled	label	VERB
ijassa-781	50	6	graphs	graph	NOUN
ijassa-781	50	7	of	of	ADP
ijassa-781	50	8	various	various	ADJ
ijassa-781	50	9	other	other	ADJ
ijassa-781	50	10	types	type	NOUN
ijassa-781	50	11	routinely	routinely	ADV
ijassa-781	50	12	occur	occur	VERB
ijassa-781	50	13	while	while	SCONJ
ijassa-781	50	14	performing	perform	VERB
ijassa-781	50	15	various	various	ADJ
ijassa-781	50	16	mbse	mbse	NOUN
ijassa-781	50	17	procedures	procedure	NOUN
ijassa-781	50	18	[	[	X
ijassa-781	50	19	10	10	NUM
ijassa-781	50	20	]	]	PUNCT
ijassa-781	50	21	.	.	PUNCT
ijassa-781	51	1	a	a	DET
ijassa-781	51	2	graph	graph	NOUN
ijassa-781	51	3	that	that	PRON
ijassa-781	51	4	consists	consist	VERB
ijassa-781	51	5	of	of	ADP
ijassa-781	51	6	models	model	NOUN
ijassa-781	51	7	of	of	ADP
ijassa-781	51	8	52	52	NUM
ijassa-781	51	9	s.p	s.p	PROPN
ijassa-781	51	10	.	.	PROPN
ijassa-781	51	11	kovalyov	kovalyov	PROPN
ijassa-781	52	1	copyright	copyright	NOUN
ijassa-781	52	2	©	©	PROPN
ijassa-781	52	3	2020	2020	NUM
ijassa-781	52	4	assa	assa	PROPN
ijassa-781	52	5	adv	adv	PROPN
ijassa-781	52	6	.	.	PUNCT
ijassa-781	53	1	in	in	ADP
ijassa-781	53	2	systems	system	NOUN
ijassa-781	53	3	science	science	NOUN
ijassa-781	53	4	and	and	CCONJ
ijassa-781	53	5	appl	appl	NOUN
ijassa-781	53	6	.	.	PUNCT
ijassa-781	54	1	(	(	PUNCT
ijassa-781	54	2	2020	2020	NUM
ijassa-781	54	3	)	)	PUNCT
ijassa-781	54	4	constituents	constituent	NOUN
ijassa-781	54	5	of	of	ADP
ijassa-781	54	6	a	a	DET
ijassa-781	54	7	certain	certain	ADJ
ijassa-781	54	8	unit	unit	NOUN
ijassa-781	54	9	,	,	PUNCT
ijassa-781	54	10	which	which	PRON
ijassa-781	54	11	are	be	AUX
ijassa-781	54	12	related	relate	VERB
ijassa-781	54	13	by	by	ADP
ijassa-781	54	14	the	the	DET
ijassa-781	54	15	unit	unit	NOUN
ijassa-781	54	16	assembly	assembly	NOUN
ijassa-781	54	17	actions	action	NOUN
ijassa-781	54	18	,	,	PUNCT
ijassa-781	54	19	is	be	AUX
ijassa-781	54	20	called	call	VERB
ijassa-781	54	21	the	the	DET
ijassa-781	54	22	unit	unit	NOUN
ijassa-781	54	23	configuration	configuration	NOUN
ijassa-781	54	24	.	.	PUNCT
ijassa-781	55	1	fig	fig	NOUN
ijassa-781	55	2	.	.	PUNCT
ijassa-781	56	1	1	1	X
ijassa-781	56	2	.	.	X
ijassa-781	56	3	assembly	assembly	NOUN
ijassa-781	56	4	planning	planning	NOUN
ijassa-781	57	1	[	[	X
ijassa-781	57	2	13	13	NUM
ijassa-781	57	3	]	]	PUNCT
ijassa-781	57	4	as	as	ADP
ijassa-781	57	5	an	an	DET
ijassa-781	57	6	example	example	NOUN
ijassa-781	57	7	that	that	PRON
ijassa-781	57	8	is	be	AUX
ijassa-781	57	9	particularly	particularly	ADV
ijassa-781	57	10	relevant	relevant	ADJ
ijassa-781	57	11	to	to	ADP
ijassa-781	57	12	mechanical	mechanical	ADJ
ijassa-781	57	13	design	design	NOUN
ijassa-781	57	14	,	,	PUNCT
ijassa-781	57	15	consider	consider	VERB
ijassa-781	57	16	a	a	DET
ijassa-781	57	17	mechanical	mechanical	ADJ
ijassa-781	57	18	product	product	NOUN
ijassa-781	57	19	consisting	consist	VERB
ijassa-781	57	20	of	of	ADP
ijassa-781	57	21	rigid	rigid	ADJ
ijassa-781	57	22	solid	solid	ADJ
ijassa-781	57	23	parts	part	NOUN
ijassa-781	57	24	(	(	PUNCT
ijassa-781	57	25	see	see	VERB
ijassa-781	57	26	the	the	DET
ijassa-781	57	27	left	left	ADJ
ijassa-781	57	28	half	half	NOUN
ijassa-781	57	29	of	of	ADP
ijassa-781	57	30	fig	fig	NOUN
ijassa-781	57	31	.	.	PUNCT
ijassa-781	58	1	1	1	NUM
ijassa-781	58	2	)	)	PUNCT
ijassa-781	58	3	.	.	PUNCT
ijassa-781	59	1	for	for	ADP
ijassa-781	59	2	such	such	DET
ijassa-781	59	3	a	a	DET
ijassa-781	59	4	product	product	NOUN
ijassa-781	59	5	,	,	PUNCT
ijassa-781	59	6	models	model	NOUN
ijassa-781	59	7	of	of	ADP
ijassa-781	59	8	parts	part	NOUN
ijassa-781	59	9	and	and	CCONJ
ijassa-781	59	10	assembly	assembly	NOUN
ijassa-781	59	11	units	unit	NOUN
ijassa-781	59	12	are	be	AUX
ijassa-781	59	13	geometric	geometric	ADJ
ijassa-781	59	14	bodies	body	NOUN
ijassa-781	59	15	that	that	PRON
ijassa-781	59	16	can	can	AUX
ijassa-781	59	17	be	be	AUX
ijassa-781	59	18	represented	represent	VERB
ijassa-781	59	19	for	for	ADP
ijassa-781	59	20	computer	computer	NOUN
ijassa-781	59	21	processing	processing	NOUN
ijassa-781	59	22	by	by	ADP
ijassa-781	59	23	various	various	ADJ
ijassa-781	59	24	means	mean	NOUN
ijassa-781	59	25	:	:	PUNCT
ijassa-781	59	26	constructive	constructive	ADJ
ijassa-781	59	27	solid	solid	ADJ
ijassa-781	59	28	geometry	geometry	NOUN
ijassa-781	59	29	(	(	PUNCT
ijassa-781	59	30	csg	csg	NOUN
ijassa-781	59	31	)	)	PUNCT
ijassa-781	59	32	,	,	PUNCT
ijassa-781	59	33	finite	finite	PROPN
ijassa-781	59	34	array	array	NOUN
ijassa-781	59	35	of	of	ADP
ijassa-781	59	36	small	small	ADJ
ijassa-781	59	37	spatial	spatial	ADJ
ijassa-781	59	38	cells	cell	NOUN
ijassa-781	59	39	(	(	PUNCT
ijassa-781	59	40	voxels	voxel	NOUN
ijassa-781	59	41	)	)	PUNCT
ijassa-781	59	42	,	,	PUNCT
ijassa-781	59	43	boundary	boundary	ADJ
ijassa-781	59	44	representation	representation	NOUN
ijassa-781	59	45	(	(	PUNCT
ijassa-781	59	46	brep	brep	NOUN
ijassa-781	59	47	)	)	PUNCT
ijassa-781	60	1	[	[	X
ijassa-781	60	2	14	14	NUM
ijassa-781	60	3	]	]	PUNCT
ijassa-781	60	4	.	.	PUNCT
ijassa-781	61	1	representations	representation	NOUN
ijassa-781	61	2	of	of	ADP
ijassa-781	61	3	particular	particular	ADJ
ijassa-781	61	4	product	product	NOUN
ijassa-781	61	5	parts	part	NOUN
ijassa-781	61	6	or	or	CCONJ
ijassa-781	61	7	assembly	assembly	NOUN
ijassa-781	61	8	units	unit	NOUN
ijassa-781	61	9	are	be	AUX
ijassa-781	61	10	obtained	obtain	VERB
ijassa-781	61	11	from	from	ADP
ijassa-781	61	12	such	such	ADJ
ijassa-781	61	13	models	model	NOUN
ijassa-781	61	14	by	by	ADP
ijassa-781	61	15	affine	affine	NOUN
ijassa-781	61	16	isometries	isometry	NOUN
ijassa-781	61	17	and	and	CCONJ
ijassa-781	61	18	stretches	stretch	NOUN
ijassa-781	61	19	.	.	PUNCT
ijassa-781	62	1	for	for	ADP
ijassa-781	62	2	instance	instance	NOUN
ijassa-781	62	3	,	,	PUNCT
ijassa-781	62	4	the	the	DET
ijassa-781	62	5	model	model	NOUN
ijassa-781	62	6	of	of	ADP
ijassa-781	62	7	a	a	DET
ijassa-781	62	8	barbell	barbell	NOUN
ijassa-781	62	9	(	(	PUNCT
ijassa-781	62	10	heavy	heavy	ADJ
ijassa-781	62	11	sporting	sporting	NOUN
ijassa-781	62	12	equipment	equipment	NOUN
ijassa-781	62	13	)	)	PUNCT
ijassa-781	62	14	consists	consist	VERB
ijassa-781	62	15	of	of	ADP
ijassa-781	62	16	several	several	ADJ
ijassa-781	62	17	cylinders	cylinder	NOUN
ijassa-781	62	18	of	of	ADP
ijassa-781	62	19	different	different	ADJ
ijassa-781	62	20	sizes	size	NOUN
ijassa-781	62	21	.	.	PUNCT
ijassa-781	63	1	in	in	ADP
ijassa-781	63	2	the	the	DET
ijassa-781	63	3	barbell	barbell	NOUN
ijassa-781	63	4	structure	structure	NOUN
ijassa-781	63	5	graph	graph	NOUN
ijassa-781	63	6	,	,	PUNCT
ijassa-781	63	7	the	the	DET
ijassa-781	63	8	cylinders	cylinder	NOUN
ijassa-781	63	9	are	be	AUX
ijassa-781	63	10	represented	represent	VERB
ijassa-781	63	11	by	by	ADP
ijassa-781	63	12	different	different	ADJ
ijassa-781	63	13	vertices	vertex	NOUN
ijassa-781	63	14	,	,	PUNCT
ijassa-781	63	15	although	although	SCONJ
ijassa-781	63	16	all	all	PRON
ijassa-781	63	17	of	of	ADP
ijassa-781	63	18	them	they	PRON
ijassa-781	63	19	are	be	AUX
ijassa-781	63	20	generated	generate	VERB
ijassa-781	63	21	by	by	ADP
ijassa-781	63	22	the	the	DET
ijassa-781	63	23	same	same	ADJ
ijassa-781	63	24	geometric	geometric	ADJ
ijassa-781	63	25	model	model	NOUN
ijassa-781	63	26	.	.	PUNCT
ijassa-781	64	1	so	so	ADV
ijassa-781	64	2	the	the	DET
ijassa-781	64	3	solid	solid	ADJ
ijassa-781	64	4	body	body	NOUN
ijassa-781	64	5	model	model	NOUN
ijassa-781	64	6	catalog	catalog	NOUN
ijassa-781	64	7	contains	contain	VERB
ijassa-781	64	8	a	a	DET
ijassa-781	64	9	cylinder	cylinder	NOUN
ijassa-781	64	10	,	,	PUNCT
ijassa-781	64	11	with	with	ADP
ijassa-781	64	12	which	which	PRON
ijassa-781	64	13	several	several	ADJ
ijassa-781	64	14	different	different	ADJ
ijassa-781	64	15	actions	action	NOUN
ijassa-781	64	16	of	of	ADP
ijassa-781	64	17	inclusion	inclusion	NOUN
ijassa-781	64	18	into	into	ADP
ijassa-781	64	19	the	the	DET
ijassa-781	64	20	barbell	barbell	NOUN
ijassa-781	64	21	are	be	AUX
ijassa-781	64	22	associated	associate	VERB
ijassa-781	64	23	.	.	PUNCT
ijassa-781	65	1	another	another	DET
ijassa-781	65	2	example	example	NOUN
ijassa-781	65	3	of	of	ADP
ijassa-781	65	4	modeling	model	VERB
ijassa-781	65	5	technique	technique	NOUN
ijassa-781	65	6	,	,	PUNCT
ijassa-781	65	7	widely	widely	ADV
ijassa-781	65	8	used	use	VERB
ijassa-781	65	9	in	in	ADP
ijassa-781	65	10	production	production	NOUN
ijassa-781	65	11	planning	planning	NOUN
ijassa-781	65	12	,	,	PUNCT
ijassa-781	65	13	is	be	AUX
ijassa-781	65	14	discreteevent	discreteevent	ADJ
ijassa-781	65	15	simulation	simulation	NOUN
ijassa-781	65	16	(	(	PUNCT
ijassa-781	65	17	see	see	VERB
ijassa-781	65	18	the	the	DET
ijassa-781	65	19	right	right	ADJ
ijassa-781	65	20	half	half	NOUN
ijassa-781	65	21	of	of	ADP
ijassa-781	65	22	fig	fig	NOUN
ijassa-781	65	23	.	.	PUNCT
ijassa-781	66	1	1	1	NUM
ijassa-781	66	2	)	)	PUNCT
ijassa-781	66	3	.	.	PUNCT
ijassa-781	67	1	its	its	PRON
ijassa-781	67	2	widespread	widespread	ADJ
ijassa-781	67	3	support	support	NOUN
ijassa-781	67	4	is	be	AUX
ijassa-781	67	5	regarded	regard	VERB
ijassa-781	67	6	among	among	ADP
ijassa-781	67	7	the	the	DET
ijassa-781	67	8	most	most	ADV
ijassa-781	67	9	significant	significant	ADJ
ijassa-781	67	10	achievements	achievement	NOUN
ijassa-781	67	11	of	of	ADP
ijassa-781	67	12	mbse	mbse	NOUN
ijassa-781	67	13	.	.	PUNCT
ijassa-781	68	1	here	here	ADV
ijassa-781	68	2	,	,	PUNCT
ijassa-781	68	3	a	a	DET
ijassa-781	68	4	model	model	NOUN
ijassa-781	68	5	represents	represent	VERB
ijassa-781	68	6	an	an	DET
ijassa-781	68	7	operational	operational	ADJ
ijassa-781	68	8	scenario	scenario	NOUN
ijassa-781	68	9	,	,	PUNCT
ijassa-781	68	10	viz	viz	PROPN
ijassa-781	68	11	.	.	PUNCT
ijassa-781	69	1	a	a	DET
ijassa-781	69	2	fragment	fragment	NOUN
ijassa-781	69	3	of	of	ADP
ijassa-781	69	4	the	the	DET
ijassa-781	69	5	imagined	imagined	ADJ
ijassa-781	69	6	history	history	NOUN
ijassa-781	69	7	of	of	ADP
ijassa-781	69	8	the	the	DET
ijassa-781	69	9	simulated	simulate	VERB
ijassa-781	69	10	object	object	NOUN
ijassa-781	69	11	behavior	behavior	NOUN
ijassa-781	69	12	described	describe	VERB
ijassa-781	69	13	as	as	ADP
ijassa-781	69	14	a	a	DET
ijassa-781	69	15	discrete	discrete	ADJ
ijassa-781	69	16	sequence	sequence	NOUN
ijassa-781	69	17	of	of	ADP
ijassa-781	69	18	events	event	NOUN
ijassa-781	69	19	of	of	ADP
ijassa-781	69	20	various	various	ADJ
ijassa-781	69	21	types	type	NOUN
ijassa-781	69	22	.	.	PUNCT
ijassa-781	70	1	some	some	DET
ijassa-781	70	2	events	event	NOUN
ijassa-781	70	3	may	may	AUX
ijassa-781	70	4	trigger	trigger	VERB
ijassa-781	70	5	others	other	NOUN
ijassa-781	70	6	or	or	CCONJ
ijassa-781	70	7	prevent	prevent	VERB
ijassa-781	70	8	others	other	NOUN
ijassa-781	70	9	from	from	ADP
ijassa-781	70	10	occurring	occur	VERB
ijassa-781	70	11	,	,	PUNCT
ijassa-781	70	12	inducing	induce	VERB
ijassa-781	70	13	causal	causal	ADJ
ijassa-781	70	14	relations	relation	NOUN
ijassa-781	70	15	between	between	ADP
ijassa-781	70	16	some	some	DET
ijassa-781	70	17	events	event	NOUN
ijassa-781	70	18	within	within	ADP
ijassa-781	70	19	a	a	DET
ijassa-781	70	20	scenario	scenario	NOUN
ijassa-781	70	21	.	.	PUNCT
ijassa-781	71	1	descriptions	description	NOUN
ijassa-781	71	2	of	of	ADP
ijassa-781	71	3	actions	action	NOUN
ijassa-781	71	4	used	use	VERB
ijassa-781	71	5	to	to	PART
ijassa-781	71	6	build	build	VERB
ijassa-781	71	7	scenarios	scenario	NOUN
ijassa-781	71	8	of	of	ADP
ijassa-781	71	9	the	the	DET
ijassa-781	71	10	complex	complex	ADJ
ijassa-781	71	11	systems	system	NOUN
ijassa-781	71	12	behavior	behavior	NOUN
ijassa-781	71	13	reflect	reflect	VERB
ijassa-781	71	14	the	the	DET
ijassa-781	71	15	contribution	contribution	NOUN
ijassa-781	71	16	of	of	ADP
ijassa-781	71	17	the	the	DET
ijassa-781	71	18	components	component	NOUN
ijassa-781	71	19	.	.	PUNCT
ijassa-781	72	1	specifically	specifically	ADV
ijassa-781	72	2	,	,	PUNCT
ijassa-781	72	3	the	the	DET
ijassa-781	72	4	operational	operational	ADJ
ijassa-781	72	5	scenario	scenario	NOUN
ijassa-781	72	6	of	of	ADP
ijassa-781	72	7	the	the	DET
ijassa-781	72	8	model	model	NOUN
ijassa-781	72	9	-	-	PUNCT
ijassa-781	72	10	based	base	VERB
ijassa-781	72	11	enterprise	enterprise	NOUN
ijassa-781	72	12	plant	plant	NOUN
ijassa-781	72	13	is	be	AUX
ijassa-781	72	14	composed	compose	VERB
ijassa-781	72	15	from	from	ADP
ijassa-781	72	16	operational	operational	ADJ
ijassa-781	72	17	scenarios	scenario	NOUN
ijassa-781	72	18	of	of	ADP
ijassa-781	72	19	plant	plant	NOUN
ijassa-781	72	20	equipment	equipment	NOUN
ijassa-781	72	21	units	unit	NOUN
ijassa-781	72	22	that	that	PRON
ijassa-781	72	23	interact	interact	VERB
ijassa-781	72	24	with	with	ADP
ijassa-781	72	25	each	each	DET
ijassa-781	72	26	other	other	ADJ
ijassa-781	72	27	in	in	ADP
ijassa-781	72	28	the	the	DET
ijassa-781	72	29	course	course	NOUN
ijassa-781	72	30	of	of	ADP
ijassa-781	72	31	the	the	DET
ijassa-781	72	32	production	production	NOUN
ijassa-781	72	33	process	process	NOUN
ijassa-781	72	34	.	.	PUNCT
ijassa-781	73	1	so	so	ADV
ijassa-781	73	2	,	,	PUNCT
ijassa-781	73	3	in	in	ADP
ijassa-781	73	4	discrete	discrete	ADJ
ijassa-781	73	5	-	-	PUNCT
ijassa-781	73	6	event	event	NOUN
ijassa-781	73	7	simulation	simulation	NOUN
ijassa-781	73	8	,	,	PUNCT
ijassa-781	73	9	a	a	DET
ijassa-781	73	10	structure	structure	NOUN
ijassa-781	73	11	graph	graph	NOUN
ijassa-781	73	12	represents	represent	VERB
ijassa-781	73	13	the	the	DET
ijassa-781	73	14	process	process	NOUN
ijassa-781	73	15	hierarchy	hierarchy	NOUN
ijassa-781	73	16	.	.	PUNCT
ijassa-781	74	1	the	the	DET
ijassa-781	74	2	direct	direct	ADJ
ijassa-781	74	3	product	product	NOUN
ijassa-781	74	4	assembly	assembly	NOUN
ijassa-781	74	5	problem	problem	NOUN
ijassa-781	74	6	is	be	AUX
ijassa-781	74	7	stated	state	VERB
ijassa-781	74	8	as	as	SCONJ
ijassa-781	74	9	follows	follow	VERB
ijassa-781	74	10	.	.	PUNCT
ijassa-781	75	1	given	give	VERB
ijassa-781	75	2	a	a	DET
ijassa-781	75	3	product	product	NOUN
ijassa-781	75	4	configuration	configuration	NOUN
ijassa-781	75	5	,	,	PUNCT
ijassa-781	75	6	the	the	DET
ijassa-781	75	7	model	model	NOUN
ijassa-781	75	8	of	of	ADP
ijassa-781	75	9	the	the	DET
ijassa-781	75	10	product	product	NOUN
ijassa-781	75	11	as	as	ADP
ijassa-781	75	12	a	a	DET
ijassa-781	75	13	whole	whole	ADJ
ijassa-781	75	14	needs	need	VERB
ijassa-781	75	15	to	to	PART
ijassa-781	75	16	be	be	AUX
ijassa-781	75	17	constructed	construct	VERB
ijassa-781	75	18	along	along	ADP
ijassa-781	75	19	with	with	ADP
ijassa-781	75	20	actions	action	NOUN
ijassa-781	75	21	involved	involve	VERB
ijassa-781	75	22	into	into	ADP
ijassa-781	75	23	assembling	assemble	VERB
ijassa-781	75	24	it	it	PRON
ijassa-781	75	25	,	,	PUNCT
ijassa-781	75	26	to	to	PART
ijassa-781	75	27	complete	complete	VERB
ijassa-781	75	28	the	the	DET
ijassa-781	75	29	hierarchical	hierarchical	ADJ
ijassa-781	75	30	product	product	NOUN
ijassa-781	75	31	structure	structure	NOUN
ijassa-781	75	32	graph	graph	NOUN
ijassa-781	75	33	.	.	PUNCT
ijassa-781	76	1	the	the	DET
ijassa-781	76	2	principle	principle	NOUN
ijassa-781	76	3	of	of	ADP
ijassa-781	76	4	constructing	construct	VERB
ijassa-781	76	5	the	the	DET
ijassa-781	76	6	target	target	NOUN
ijassa-781	76	7	product	product	NOUN
ijassa-781	76	8	model	model	NOUN
ijassa-781	76	9	is	be	AUX
ijassa-781	76	10	easy	easy	ADJ
ijassa-781	76	11	to	to	PART
ijassa-781	76	12	see	see	VERB
ijassa-781	76	13	from	from	ADP
ijassa-781	76	14	the	the	DET
ijassa-781	76	15	structure	structure	NOUN
ijassa-781	76	16	representation	representation	NOUN
ijassa-781	76	17	:	:	PUNCT
ijassa-781	76	18	the	the	DET
ijassa-781	76	19	model	model	NOUN
ijassa-781	76	20	should	should	AUX
ijassa-781	76	21	be	be	AUX
ijassa-781	76	22	located	locate	VERB
ijassa-781	76	23	at	at	ADP
ijassa-781	76	24	precisely	precisely	ADV
ijassa-781	76	25	one	one	NUM
ijassa-781	76	26	hierarchical	hierarchical	ADJ
ijassa-781	76	27	level	level	NOUN
ijassa-781	76	28	above	above	ADP
ijassa-781	76	29	the	the	DET
ijassa-781	76	30	level	level	NOUN
ijassa-781	76	31	of	of	ADP
ijassa-781	76	32	largest	large	ADJ
ijassa-781	76	33	leveraging	leverage	VERB
ijassa-781	76	34	category	category	NOUN
ijassa-781	76	35	theory	theory	NOUN
ijassa-781	76	36	in	in	ADP
ijassa-781	76	37	model	model	NOUN
ijassa-781	76	38	based	base	VERB
ijassa-781	76	39	enterprise	enterprise	NOUN
ijassa-781	76	40	53	53	NUM
ijassa-781	76	41	copyright	copyright	NOUN
ijassa-781	76	42	©	©	PROPN
ijassa-781	76	43	2020	2020	NUM
ijassa-781	77	1	assa	assa	NOUN
ijassa-781	77	2	.	.	PUNCT
ijassa-781	78	1	adv	adv	PROPN
ijassa-781	78	2	.	.	PUNCT
ijassa-781	79	1	in	in	ADP
ijassa-781	79	2	systems	system	NOUN
ijassa-781	79	3	science	science	NOUN
ijassa-781	79	4	and	and	CCONJ
ijassa-781	79	5	appl	appl	NOUN
ijassa-781	79	6	.	.	PUNCT
ijassa-781	80	1	(	(	PUNCT
ijassa-781	80	2	2020	2020	NUM
ijassa-781	80	3	)	)	PUNCT
ijassa-781	80	4	constituent	constituent	NOUN
ijassa-781	80	5	units	unit	NOUN
ijassa-781	80	6	.	.	PUNCT
ijassa-781	81	1	in	in	ADP
ijassa-781	81	2	other	other	ADJ
ijassa-781	81	3	words	word	NOUN
ijassa-781	81	4	,	,	PUNCT
ijassa-781	81	5	the	the	DET
ijassa-781	81	6	product	product	NOUN
ijassa-781	81	7	model	model	NOUN
ijassa-781	81	8	should	should	AUX
ijassa-781	81	9	include	include	VERB
ijassa-781	81	10	all	all	DET
ijassa-781	81	11	constituents	constituent	NOUN
ijassa-781	81	12	’	'	PUNCT
ijassa-781	81	13	models	model	NOUN
ijassa-781	81	14	respecting	respect	VERB
ijassa-781	81	15	their	their	PRON
ijassa-781	81	16	relations	relation	NOUN
ijassa-781	81	17	within	within	ADP
ijassa-781	81	18	the	the	DET
ijassa-781	81	19	configuration	configuration	NOUN
ijassa-781	81	20	,	,	PUNCT
ijassa-781	81	21	and	and	CCONJ
ijassa-781	81	22	nothing	nothing	PRON
ijassa-781	81	23	more	more	ADJ
ijassa-781	81	24	in	in	ADP
ijassa-781	81	25	a	a	DET
ijassa-781	81	26	sense	sense	NOUN
ijassa-781	81	27	that	that	SCONJ
ijassa-781	81	28	it	it	PRON
ijassa-781	81	29	should	should	AUX
ijassa-781	81	30	be	be	AUX
ijassa-781	81	31	included	include	VERB
ijassa-781	81	32	into	into	ADP
ijassa-781	81	33	any	any	DET
ijassa-781	81	34	model	model	NOUN
ijassa-781	81	35	that	that	PRON
ijassa-781	81	36	include	include	VERB
ijassa-781	81	37	all	all	DET
ijassa-781	81	38	constituents	constituent	NOUN
ijassa-781	81	39	’	'	PUNCT
ijassa-781	81	40	models	model	NOUN
ijassa-781	81	41	respecting	respect	VERB
ijassa-781	81	42	the	the	DET
ijassa-781	81	43	configuration	configuration	NOUN
ijassa-781	81	44	relations	relation	NOUN
ijassa-781	81	45	.	.	PUNCT
ijassa-781	82	1	this	this	DET
ijassa-781	82	2	principle	principle	NOUN
ijassa-781	82	3	is	be	AUX
ijassa-781	82	4	easy	easy	ADJ
ijassa-781	82	5	to	to	PART
ijassa-781	82	6	explain	explain	VERB
ijassa-781	82	7	on	on	ADP
ijassa-781	82	8	a	a	DET
ijassa-781	82	9	simple	simple	ADJ
ijassa-781	82	10	example	example	NOUN
ijassa-781	82	11	.	.	PUNCT
ijassa-781	83	1	suppose	suppose	VERB
ijassa-781	83	2	that	that	SCONJ
ijassa-781	83	3	a	a	DET
ijassa-781	83	4	product	product	NOUN
ijassa-781	83	5	should	should	AUX
ijassa-781	83	6	be	be	AUX
ijassa-781	83	7	assembled	assemble	VERB
ijassa-781	83	8	from	from	ADP
ijassa-781	83	9	two	two	NUM
ijassa-781	83	10	given	give	VERB
ijassa-781	83	11	parts	part	NOUN
ijassa-781	83	12	p	p	NOUN
ijassa-781	83	13	and	and	CCONJ
ijassa-781	83	14	s	s	NOUN
ijassa-781	83	15	,	,	PUNCT
ijassa-781	83	16	and	and	CCONJ
ijassa-781	83	17	a	a	DET
ijassa-781	83	18	manufacturing	manufacturing	NOUN
ijassa-781	83	19	engineer	engineer	NOUN
ijassa-781	83	20	has	have	AUX
ijassa-781	83	21	decided	decide	VERB
ijassa-781	83	22	to	to	PART
ijassa-781	83	23	join	join	VERB
ijassa-781	83	24	them	they	PRON
ijassa-781	83	25	by	by	ADP
ijassa-781	83	26	means	mean	NOUN
ijassa-781	83	27	of	of	ADP
ijassa-781	83	28	a	a	DET
ijassa-781	83	29	certain	certain	ADJ
ijassa-781	83	30	glue	glue	NOUN
ijassa-781	83	31	,	,	PUNCT
ijassa-781	83	32	viz	viz	PROPN
ijassa-781	83	33	.	.	PUNCT
ijassa-781	84	1	the	the	DET
ijassa-781	84	2	intermediate	intermediate	ADJ
ijassa-781	84	3	part	part	NOUN
ijassa-781	84	4	g	g	NOUN
ijassa-781	84	5	that	that	PRON
ijassa-781	84	6	can	can	AUX
ijassa-781	84	7	be	be	AUX
ijassa-781	84	8	directly	directly	ADV
ijassa-781	84	9	applied	apply	VERB
ijassa-781	84	10	on	on	ADP
ijassa-781	84	11	both	both	CCONJ
ijassa-781	84	12	p	p	PROPN
ijassa-781	84	13	and	and	CCONJ
ijassa-781	84	14	s.	s.	PROPN
ijassa-781	84	15	action	action	NOUN
ijassa-781	84	16	of	of	ADP
ijassa-781	84	17	the	the	DET
ijassa-781	84	18	glue	glue	NOUN
ijassa-781	84	19	is	be	AUX
ijassa-781	84	20	described	describe	VERB
ijassa-781	84	21	by	by	ADP
ijassa-781	84	22	the	the	DET
ijassa-781	84	23	following	follow	VERB
ijassa-781	84	24	configuration	configuration	NOUN
ijassa-781	84	25	:	:	PUNCT
ijassa-781	84	26	parts	part	NOUN
ijassa-781	84	27	g	g	NOUN
ijassa-781	84	28	and	and	CCONJ
ijassa-781	84	29	p	p	NOUN
ijassa-781	84	30	comprise	comprise	VERB
ijassa-781	84	31	an	an	DET
ijassa-781	84	32	intermediate	intermediate	ADJ
ijassa-781	84	33	unit	unit	NOUN
ijassa-781	84	34	pg	pg	PROPN
ijassa-781	84	35	produced	produce	VERB
ijassa-781	84	36	as	as	ADP
ijassa-781	84	37	a	a	DET
ijassa-781	84	38	result	result	NOUN
ijassa-781	84	39	of	of	ADP
ijassa-781	84	40	applying	apply	VERB
ijassa-781	84	41	the	the	DET
ijassa-781	84	42	glue	glue	NOUN
ijassa-781	84	43	on	on	ADP
ijassa-781	84	44	p	p	X
ijassa-781	84	45	,	,	PUNCT
ijassa-781	84	46	and	and	CCONJ
ijassa-781	84	47	similarly	similarly	ADV
ijassa-781	84	48	,	,	PUNCT
ijassa-781	84	49	parts	part	NOUN
ijassa-781	84	50	g	g	NOUN
ijassa-781	84	51	and	and	CCONJ
ijassa-781	84	52	s	s	PRON
ijassa-781	84	53	comprise	comprise	VERB
ijassa-781	84	54	a	a	DET
ijassa-781	84	55	unit	unit	NOUN
ijassa-781	84	56	sg	sg	PROPN
ijassa-781	84	57	.	.	PUNCT
ijassa-781	85	1	the	the	DET
ijassa-781	85	2	model	model	NOUN
ijassa-781	85	3	of	of	ADP
ijassa-781	85	4	the	the	DET
ijassa-781	85	5	target	target	NOUN
ijassa-781	85	6	product	product	NOUN
ijassa-781	85	7	r	r	NOUN
ijassa-781	85	8	assembled	assemble	VERB
ijassa-781	85	9	by	by	ADP
ijassa-781	85	10	gluing	glue	VERB
ijassa-781	85	11	p	p	NOUN
ijassa-781	85	12	and	and	CCONJ
ijassa-781	85	13	s	s	NOUN
ijassa-781	85	14	with	with	ADP
ijassa-781	85	15	g	g	PROPN
ijassa-781	85	16	is	be	AUX
ijassa-781	85	17	selected	select	VERB
ijassa-781	85	18	among	among	ADP
ijassa-781	85	19	candidate	candidate	NOUN
ijassa-781	85	20	models	model	NOUN
ijassa-781	85	21	that	that	PRON
ijassa-781	85	22	contain	contain	VERB
ijassa-781	85	23	units	unit	NOUN
ijassa-781	85	24	pg	pg	VERB
ijassa-781	85	25	and	and	CCONJ
ijassa-781	85	26	sg	sg	PROPN
ijassa-781	85	27	and	and	CCONJ
ijassa-781	85	28	respect	respect	VERB
ijassa-781	85	29	the	the	DET
ijassa-781	85	30	glue	glue	NOUN
ijassa-781	85	31	g	g	NOUN
ijassa-781	85	32	in	in	ADP
ijassa-781	85	33	a	a	DET
ijassa-781	85	34	sense	sense	NOUN
ijassa-781	85	35	that	that	SCONJ
ijassa-781	85	36	tracing	trace	VERB
ijassa-781	85	37	the	the	DET
ijassa-781	85	38	glue	glue	NOUN
ijassa-781	85	39	inclusion	inclusion	NOUN
ijassa-781	85	40	through	through	ADP
ijassa-781	85	41	either	either	DET
ijassa-781	85	42	one	one	NUM
ijassa-781	85	43	of	of	ADP
ijassa-781	85	44	the	the	DET
ijassa-781	85	45	two	two	NUM
ijassa-781	85	46	units	unit	NOUN
ijassa-781	85	47	amounts	amount	VERB
ijassa-781	85	48	to	to	ADP
ijassa-781	85	49	the	the	DET
ijassa-781	85	50	same	same	ADJ
ijassa-781	85	51	action	action	NOUN
ijassa-781	85	52	.	.	PUNCT
ijassa-781	86	1	the	the	DET
ijassa-781	86	2	selection	selection	NOUN
ijassa-781	86	3	obeys	obey	VERB
ijassa-781	86	4	the	the	DET
ijassa-781	86	5	following	follow	VERB
ijassa-781	86	6	structural	structural	ADJ
ijassa-781	86	7	criterion	criterion	NOUN
ijassa-781	86	8	:	:	PUNCT
ijassa-781	86	9	r	r	NOUN
ijassa-781	86	10	should	should	AUX
ijassa-781	86	11	be	be	AUX
ijassa-781	86	12	unambiguously	unambiguously	ADV
ijassa-781	86	13	identifiable	identifiable	ADJ
ijassa-781	86	14	within	within	ADP
ijassa-781	86	15	any	any	DET
ijassa-781	86	16	candidate	candidate	NOUN
ijassa-781	86	17	model	model	NOUN
ijassa-781	86	18	t.	t.	PROPN
ijassa-781	86	19	this	this	DET
ijassa-781	86	20	criterion	criterion	NOUN
ijassa-781	86	21	is	be	AUX
ijassa-781	86	22	shown	show	VERB
ijassa-781	86	23	schematically	schematically	NOUN
ijassa-781	86	24	in	in	ADP
ijassa-781	86	25	fig	fig	NOUN
ijassa-781	86	26	.	.	PUNCT
ijassa-781	87	1	2	2	NUM
ijassa-781	88	1	[	[	X
ijassa-781	88	2	15	15	NUM
ijassa-781	88	3	]	]	PUNCT
ijassa-781	88	4	,	,	PUNCT
ijassa-781	88	5	where	where	SCONJ
ijassa-781	88	6	models	model	NOUN
ijassa-781	88	7	included	include	VERB
ijassa-781	88	8	into	into	ADP
ijassa-781	88	9	the	the	DET
ijassa-781	88	10	iec	iec	NOUN
ijassa-781	88	11	81346	81346	NUM
ijassa-781	88	12	compliant	compliant	ADJ
ijassa-781	88	13	product	product	NOUN
ijassa-781	88	14	structure	structure	NOUN
ijassa-781	88	15	graph	graph	NOUN
ijassa-781	88	16	are	be	AUX
ijassa-781	88	17	colored	color	VERB
ijassa-781	88	18	in	in	ADP
ijassa-781	88	19	yellow	yellow	ADJ
ijassa-781	88	20	and	and	CCONJ
ijassa-781	88	21	tagged	tag	VERB
ijassa-781	88	22	by	by	ADP
ijassa-781	88	23	reference	reference	NOUN
ijassa-781	88	24	designations	designation	NOUN
ijassa-781	88	25	,	,	PUNCT
ijassa-781	88	26	and	and	CCONJ
ijassa-781	88	27	the	the	DET
ijassa-781	88	28	glue	glue	NOUN
ijassa-781	88	29	is	be	AUX
ijassa-781	88	30	appended	append	VERB
ijassa-781	88	31	as	as	ADP
ijassa-781	88	32	a	a	DET
ijassa-781	88	33	manufacturing	manufacture	VERB
ijassa-781	88	34	information	information	NOUN
ijassa-781	88	35	annotation	annotation	NOUN
ijassa-781	88	36	.	.	PUNCT
ijassa-781	89	1	fig	fig	NOUN
ijassa-781	89	2	.	.	PUNCT
ijassa-781	90	1	2	2	X
ijassa-781	90	2	.	.	X
ijassa-781	90	3	schematics	schematic	NOUN
ijassa-781	90	4	of	of	ADP
ijassa-781	90	5	gluing	gluing	NOUN
ijassa-781	90	6	[	[	X
ijassa-781	90	7	15	15	NUM
ijassa-781	90	8	]	]	PUNCT
ijassa-781	90	9	provided	provide	VERB
ijassa-781	90	10	that	that	SCONJ
ijassa-781	90	11	such	such	DET
ijassa-781	90	12	a	a	DET
ijassa-781	90	13	model	model	NOUN
ijassa-781	90	14	r	r	NOUN
ijassa-781	90	15	exists	exist	VERB
ijassa-781	90	16	,	,	PUNCT
ijassa-781	90	17	it	it	PRON
ijassa-781	90	18	clearly	clearly	ADV
ijassa-781	90	19	represents	represent	VERB
ijassa-781	90	20	the	the	DET
ijassa-781	90	21	product	product	NOUN
ijassa-781	90	22	that	that	PRON
ijassa-781	90	23	is	be	AUX
ijassa-781	90	24	assembled	assemble	VERB
ijassa-781	90	25	by	by	ADP
ijassa-781	90	26	gluing	glue	VERB
ijassa-781	90	27	two	two	NUM
ijassa-781	90	28	parts	part	NOUN
ijassa-781	90	29	without	without	ADP
ijassa-781	90	30	any	any	DET
ijassa-781	90	31	extra	extra	ADJ
ijassa-781	90	32	changes	change	NOUN
ijassa-781	90	33	or	or	CCONJ
ijassa-781	90	34	augmentations	augmentation	NOUN
ijassa-781	90	35	.	.	PUNCT
ijassa-781	91	1	moreover	moreover	ADV
ijassa-781	91	2	,	,	PUNCT
ijassa-781	91	3	it	it	PRON
ijassa-781	91	4	is	be	AUX
ijassa-781	91	5	easy	easy	ADJ
ijassa-781	91	6	to	to	PART
ijassa-781	91	7	see	see	VERB
ijassa-781	91	8	that	that	SCONJ
ijassa-781	91	9	such	such	ADJ
ijassa-781	91	10	model	model	NOUN
ijassa-781	91	11	is	be	AUX
ijassa-781	91	12	unique	unique	ADJ
ijassa-781	91	13	in	in	ADP
ijassa-781	91	14	a	a	DET
ijassa-781	91	15	sense	sense	NOUN
ijassa-781	91	16	that	that	SCONJ
ijassa-781	91	17	any	any	DET
ijassa-781	91	18	two	two	NUM
ijassa-781	91	19	such	such	ADJ
ijassa-781	91	20	models	model	NOUN
ijassa-781	91	21	,	,	PUNCT
ijassa-781	91	22	by	by	ADP
ijassa-781	91	23	definition	definition	NOUN
ijassa-781	91	24	,	,	PUNCT
ijassa-781	91	25	contain	contain	VERB
ijassa-781	91	26	each	each	DET
ijassa-781	91	27	other	other	ADJ
ijassa-781	91	28	.	.	PUNCT
ijassa-781	92	1	on	on	ADP
ijassa-781	92	2	the	the	DET
ijassa-781	92	3	contrary	contrary	NOUN
ijassa-781	92	4	,	,	PUNCT
ijassa-781	92	5	if	if	SCONJ
ijassa-781	92	6	the	the	DET
ijassa-781	92	7	model	model	NOUN
ijassa-781	92	8	r	r	NOUN
ijassa-781	92	9	does	do	AUX
ijassa-781	92	10	n’t	not	PART
ijassa-781	92	11	exist	exist	VERB
ijassa-781	92	12	(	(	PUNCT
ijassa-781	92	13	can	can	AUX
ijassa-781	92	14	not	not	PART
ijassa-781	92	15	be	be	AUX
ijassa-781	92	16	found	find	VERB
ijassa-781	92	17	in	in	ADP
ijassa-781	92	18	the	the	DET
ijassa-781	92	19	model	model	NOUN
ijassa-781	92	20	catalog	catalog	NOUN
ijassa-781	92	21	)	)	PUNCT
ijassa-781	92	22	,	,	PUNCT
ijassa-781	92	23	then	then	ADV
ijassa-781	92	24	the	the	DET
ijassa-781	92	25	wrong	wrong	ADJ
ijassa-781	92	26	glue	glue	NOUN
ijassa-781	92	27	was	be	AUX
ijassa-781	92	28	chosen	choose	VERB
ijassa-781	92	29	:	:	PUNCT
ijassa-781	92	30	g	g	PROPN
ijassa-781	92	31	is	be	AUX
ijassa-781	92	32	incapable	incapable	ADJ
ijassa-781	92	33	to	to	PART
ijassa-781	92	34	connect	connect	VERB
ijassa-781	92	35	p	p	NOUN
ijassa-781	92	36	with	with	ADP
ijassa-781	92	37	s.	s.	PROPN
ijassa-781	92	38	notice	notice	VERB
ijassa-781	92	39	that	that	SCONJ
ijassa-781	92	40	the	the	DET
ijassa-781	92	41	gluing	gluing	NOUN
ijassa-781	92	42	configuration	configuration	NOUN
ijassa-781	92	43	is	be	AUX
ijassa-781	92	44	significantly	significantly	ADV
ijassa-781	92	45	simplified	simplify	VERB
ijassa-781	92	46	in	in	ADP
ijassa-781	92	47	case	case	NOUN
ijassa-781	92	48	when	when	SCONJ
ijassa-781	92	49	influence	influence	NOUN
ijassa-781	92	50	of	of	ADP
ijassa-781	92	51	the	the	DET
ijassa-781	92	52	glue	glue	NOUN
ijassa-781	92	53	on	on	ADP
ijassa-781	92	54	parts	part	NOUN
ijassa-781	92	55	is	be	AUX
ijassa-781	92	56	negligible	negligible	ADJ
ijassa-781	92	57	,	,	PUNCT
ijassa-781	92	58	so	so	SCONJ
ijassa-781	92	59	we	we	PRON
ijassa-781	92	60	can	can	AUX
ijassa-781	92	61	assume	assume	VERB
ijassa-781	92	62	that	that	SCONJ
ijassa-781	92	63	pg	pg	VERB
ijassa-781	93	1	=	=	PUNCT
ijassa-781	93	2	p	p	PROPN
ijassa-781	93	3	and	and	CCONJ
ijassa-781	93	4	sg	sg	PROPN
ijassa-781	93	5	=	=	PUNCT
ijassa-781	93	6	s.	s.	PROPN
ijassa-781	93	7	in	in	ADP
ijassa-781	93	8	this	this	DET
ijassa-781	93	9	case	case	NOUN
ijassa-781	93	10	,	,	PUNCT
ijassa-781	93	11	the	the	DET
ijassa-781	93	12	configuration	configuration	NOUN
ijassa-781	93	13	takes	take	VERB
ijassa-781	93	14	a	a	DET
ijassa-781	93	15	shape	shape	NOUN
ijassa-781	93	16	of	of	ADP
ijassa-781	93	17	a	a	DET
ijassa-781	93	18	span	span	NOUN
ijassa-781	93	19	,	,	PUNCT
ijassa-781	93	20	viz	viz	PROPN
ijassa-781	93	21	.	.	PUNCT
ijassa-781	94	1	a	a	DET
ijassa-781	94	2	graph	graph	NOUN
ijassa-781	94	3	consisting	consist	VERB
ijassa-781	94	4	of	of	ADP
ijassa-781	94	5	two	two	NUM
ijassa-781	94	6	edges	edge	NOUN
ijassa-781	94	7	with	with	ADP
ijassa-781	94	8	the	the	DET
ijassa-781	94	9	same	same	ADJ
ijassa-781	94	10	source	source	NOUN
ijassa-781	94	11	:	:	PUNCT
ijassa-781	94	12	p	p	X
ijassa-781	94	13			X
ijassa-781	94	14	g	g	PROPN
ijassa-781	94	15			NOUN
ijassa-781	94	16	s.	s.	PROPN
ijassa-781	95	1	we	we	PRON
ijassa-781	95	2	will	will	AUX
ijassa-781	95	3	refer	refer	VERB
ijassa-781	95	4	to	to	ADP
ijassa-781	95	5	this	this	DET
ijassa-781	95	6	kind	kind	NOUN
ijassa-781	95	7	of	of	ADP
ijassa-781	95	8	gluing	gluing	NOUN
ijassa-781	95	9	as	as	ADP
ijassa-781	95	10	non	non	ADJ
ijassa-781	95	11	-	-	ADJ
ijassa-781	95	12	intrusive	intrusive	ADJ
ijassa-781	95	13	.	.	PUNCT
ijassa-781	96	1	in	in	ADP
ijassa-781	96	2	real	real	ADJ
ijassa-781	96	3	world	world	NOUN
ijassa-781	96	4	,	,	PUNCT
ijassa-781	96	5	it	it	PRON
ijassa-781	96	6	routinely	routinely	ADV
ijassa-781	96	7	occurs	occur	VERB
ijassa-781	96	8	in	in	ADP
ijassa-781	96	9	solid	solid	ADJ
ijassa-781	96	10	body	body	NOUN
ijassa-781	96	11	modeling	modeling	NOUN
ijassa-781	96	12	:	:	PUNCT
ijassa-781	96	13	applying	apply	VERB
ijassa-781	96	14	thin	thin	ADJ
ijassa-781	96	15	layer	layer	NOUN
ijassa-781	96	16	of	of	ADP
ijassa-781	96	17	a	a	DET
ijassa-781	96	18	glue	glue	NOUN
ijassa-781	96	19	leaves	leave	VERB
ijassa-781	96	20	the	the	DET
ijassa-781	96	21	shape	shape	NOUN
ijassa-781	96	22	of	of	ADP
ijassa-781	96	23	a	a	DET
ijassa-781	96	24	part	part	NOUN
ijassa-781	96	25	unchanged	unchanged	ADJ
ijassa-781	96	26	.	.	PUNCT
ijassa-781	97	1	for	for	ADP
ijassa-781	97	2	example	example	NOUN
ijassa-781	97	3	,	,	PUNCT
ijassa-781	97	4	non	non	ADJ
ijassa-781	97	5	-	-	ADJ
ijassa-781	97	6	intrusive	intrusive	ADJ
ijassa-781	97	7	gluing	gluing	NOUN
ijassa-781	97	8	is	be	AUX
ijassa-781	97	9	intended	intend	VERB
ijassa-781	97	10	to	to	PART
ijassa-781	97	11	fix	fix	VERB
ijassa-781	97	12	parts	part	NOUN
ijassa-781	97	13	together	together	ADV
ijassa-781	97	14	at	at	ADP
ijassa-781	97	15	assembly	assembly	NOUN
ijassa-781	97	16	tasks	task	NOUN
ijassa-781	97	17	m1	m1	PROPN
ijassa-781	97	18	-	-	PUNCT
ijassa-781	97	19	m4	m4	PROPN
ijassa-781	97	20	shown	show	VERB
ijassa-781	97	21	in	in	ADP
ijassa-781	97	22	fig	fig	NOUN
ijassa-781	97	23	.	.	PUNCT
ijassa-781	98	1	1	1	X
ijassa-781	98	2	.	.	X
ijassa-781	98	3	let	let	VERB
ijassa-781	98	4	’s	’s	PRON
ijassa-781	98	5	return	return	VERB
ijassa-781	98	6	to	to	ADP
ijassa-781	98	7	the	the	DET
ijassa-781	98	8	general	general	ADJ
ijassa-781	98	9	setting	setting	NOUN
ijassa-781	98	10	.	.	PUNCT
ijassa-781	99	1	if	if	SCONJ
ijassa-781	99	2	models	model	NOUN
ijassa-781	99	3	contain	contain	VERB
ijassa-781	99	4	values	value	NOUN
ijassa-781	99	5	of	of	ADP
ijassa-781	99	6	some	some	DET
ijassa-781	99	7	parameters	parameter	NOUN
ijassa-781	99	8	,	,	PUNCT
ijassa-781	99	9	and	and	CCONJ
ijassa-781	99	10	descriptions	description	NOUN
ijassa-781	99	11	of	of	ADP
ijassa-781	99	12	assembly	assembly	NOUN
ijassa-781	99	13	actions	action	NOUN
ijassa-781	99	14	contain	contain	VERB
ijassa-781	99	15	rules	rule	NOUN
ijassa-781	99	16	for	for	ADP
ijassa-781	99	17	transforming	transform	VERB
ijassa-781	99	18	the	the	DET
ijassa-781	99	19	values	value	NOUN
ijassa-781	99	20	,	,	PUNCT
ijassa-781	99	21	then	then	ADV
ijassa-781	99	22	the	the	DET
ijassa-781	99	23	structure	structure	NOUN
ijassa-781	99	24	graph	graph	NOUN
ijassa-781	99	25	allows	allow	VERB
ijassa-781	99	26	to	to	PART
ijassa-781	99	27	calculate	calculate	VERB
ijassa-781	99	28	values	value	NOUN
ijassa-781	99	29	of	of	ADP
ijassa-781	99	30	the	the	DET
ijassa-781	99	31	parameters	parameter	NOUN
ijassa-781	99	32	for	for	ADP
ijassa-781	99	33	the	the	DET
ijassa-781	99	34	target	target	NOUN
ijassa-781	99	35	product	product	NOUN
ijassa-781	99	36	,	,	PUNCT
ijassa-781	99	37	including	include	VERB
ijassa-781	99	38	geometry	geometry	NOUN
ijassa-781	99	39	,	,	PUNCT
ijassa-781	99	40	topology	topology	NOUN
ijassa-781	99	41	,	,	PUNCT
ijassa-781	99	42	dimensions	dimension	NOUN
ijassa-781	99	43	,	,	PUNCT
ijassa-781	99	44	tolerances	tolerance	NOUN
ijassa-781	99	45	,	,	PUNCT
ijassa-781	99	46	etc	etc	X
ijassa-781	99	47	.	.	X
ijassa-781	99	48	emergent	emergent	ADJ
ijassa-781	99	49	parameters	parameter	NOUN
ijassa-781	99	50	that	that	PRON
ijassa-781	99	51	ca	can	AUX
ijassa-781	99	52	n’t	not	PART
ijassa-781	99	53	be	be	AUX
ijassa-781	99	54	attributed	attribute	VERB
ijassa-781	99	55	to	to	ADP
ijassa-781	99	56	any	any	DET
ijassa-781	99	57	particular	particular	ADJ
ijassa-781	99	58	unit	unit	NOUN
ijassa-781	99	59	can	can	AUX
ijassa-781	99	60	also	also	ADV
ijassa-781	99	61	be	be	AUX
ijassa-781	99	62	calculated	calculate	VERB
ijassa-781	99	63	.	.	PUNCT
ijassa-781	100	1	examples	example	NOUN
ijassa-781	100	2	of	of	ADP
ijassa-781	100	3	calculations	calculation	NOUN
ijassa-781	100	4	of	of	ADP
ijassa-781	100	5	this	this	DET
ijassa-781	100	6	kind	kind	NOUN
ijassa-781	100	7	are	be	AUX
ijassa-781	100	8	known	know	VERB
ijassa-781	100	9	in	in	ADP
ijassa-781	100	10	the	the	DET
ijassa-781	100	11	field	field	NOUN
ijassa-781	100	12	of	of	ADP
ijassa-781	100	13	composite	composite	ADJ
ijassa-781	100	14	materials	material	NOUN
ijassa-781	100	15	design	design	NOUN
ijassa-781	100	16	[	[	X
ijassa-781	100	17	16	16	NUM
ijassa-781	100	18	]	]	PUNCT
ijassa-781	100	19	.	.	PUNCT
ijassa-781	101	1	the	the	DET
ijassa-781	101	2	averaged	average	VERB
ijassa-781	101	3	(	(	PUNCT
ijassa-781	101	4	effective	effective	ADJ
ijassa-781	101	5	)	)	PUNCT
ijassa-781	101	6	physical	physical	ADJ
ijassa-781	101	7	properties	property	NOUN
ijassa-781	101	8	of	of	ADP
ijassa-781	101	9	a	a	DET
ijassa-781	101	10	composite	composite	NOUN
ijassa-781	101	11	,	,	PUNCT
ijassa-781	101	12	such	such	ADJ
ijassa-781	101	13	as	as	ADP
ijassa-781	101	14	a	a	DET
ijassa-781	101	15	young	young	ADJ
ijassa-781	101	16	’s	’s	PART
ijassa-781	101	17	modulus	modulus	NOUN
ijassa-781	101	18	and	and	CCONJ
ijassa-781	101	19	a	a	DET
ijassa-781	101	20	poisson	poisson	NOUN
ijassa-781	101	21	’s	’s	PART
ijassa-781	101	22	ratio	ratio	NOUN
ijassa-781	101	23	,	,	PUNCT
ijassa-781	101	24	depend	depend	VERB
ijassa-781	101	25	in	in	ADP
ijassa-781	101	26	a	a	DET
ijassa-781	101	27	complex	complex	ADJ
ijassa-781	101	28	way	way	NOUN
ijassa-781	101	29	on	on	ADP
ijassa-781	101	30	properties	property	NOUN
ijassa-781	101	31	of	of	ADP
ijassa-781	101	32	components	component	NOUN
ijassa-781	101	33	and	and	CCONJ
ijassa-781	101	34	methods	method	NOUN
ijassa-781	101	35	of	of	ADP
ijassa-781	101	36	manufacturing	manufacture	VERB
ijassa-781	101	37	the	the	DET
ijassa-781	101	38	composite	composite	NOUN
ijassa-781	101	39	from	from	ADP
ijassa-781	101	40	them	they	PRON
ijassa-781	101	41	.	.	PUNCT
ijassa-781	102	1	using	use	VERB
ijassa-781	102	2	elasticity	elasticity	NOUN
ijassa-781	102	3	theory	theory	NOUN
ijassa-781	102	4	methods	method	NOUN
ijassa-781	102	5	,	,	PUNCT
ijassa-781	102	6	these	these	DET
ijassa-781	102	7	dependencies	dependency	NOUN
ijassa-781	102	8	are	be	AUX
ijassa-781	102	9	specified	specify	VERB
ijassa-781	102	10	as	as	ADP
ijassa-781	102	11	linearized	linearize	VERB
ijassa-781	102	12	matrix	matrix	NOUN
ijassa-781	102	13	relations	relation	NOUN
ijassa-781	102	14	that	that	PRON
ijassa-781	102	15	label	label	VERB
ijassa-781	102	16	arrows	arrow	NOUN
ijassa-781	102	17	of	of	ADP
ijassa-781	102	18	the	the	DET
ijassa-781	102	19	composite	composite	ADJ
ijassa-781	102	20	material	material	NOUN
ijassa-781	102	21	structure	structure	NOUN
ijassa-781	102	22	graph	graph	NOUN
ijassa-781	102	23	.	.	PUNCT
ijassa-781	103	1	then	then	ADV
ijassa-781	103	2	it	it	PRON
ijassa-781	103	3	becomes	become	VERB
ijassa-781	103	4	possible	possible	ADJ
ijassa-781	103	5	to	to	PART
ijassa-781	103	6	predict	predict	VERB
ijassa-781	103	7	54	54	NUM
ijassa-781	103	8	s.p	s.p	PROPN
ijassa-781	103	9	.	.	PROPN
ijassa-781	103	10	kovalyov	kovalyov	PROPN
ijassa-781	103	11	copyright	copyright	NOUN
ijassa-781	103	12	©	©	PROPN
ijassa-781	103	13	2020	2020	NUM
ijassa-781	103	14	assa	assa	PROPN
ijassa-781	103	15	adv	adv	PROPN
ijassa-781	103	16	.	.	PUNCT
ijassa-781	104	1	in	in	ADP
ijassa-781	104	2	systems	system	NOUN
ijassa-781	104	3	science	science	NOUN
ijassa-781	104	4	and	and	CCONJ
ijassa-781	104	5	appl	appl	NOUN
ijassa-781	104	6	.	.	PUNCT
ijassa-781	105	1	(	(	PUNCT
ijassa-781	105	2	2020	2020	NUM
ijassa-781	105	3	)	)	PUNCT
ijassa-781	105	4	the	the	DET
ijassa-781	105	5	properties	property	NOUN
ijassa-781	105	6	of	of	ADP
ijassa-781	105	7	the	the	DET
ijassa-781	105	8	material	material	NOUN
ijassa-781	105	9	virtually	virtually	ADV
ijassa-781	105	10	by	by	ADP
ijassa-781	105	11	computation	computation	NOUN
ijassa-781	105	12	over	over	ADP
ijassa-781	105	13	a	a	DET
ijassa-781	105	14	database	database	NOUN
ijassa-781	105	15	of	of	ADP
ijassa-781	105	16	components	component	NOUN
ijassa-781	105	17	shown	show	VERB
ijassa-781	105	18	in	in	ADP
ijassa-781	105	19	fig	fig	NOUN
ijassa-781	105	20	.	.	PUNCT
ijassa-781	106	1	3	3	NUM
ijassa-781	106	2	,	,	PUNCT
ijassa-781	106	3	avoiding	avoid	VERB
ijassa-781	106	4	costly	costly	ADJ
ijassa-781	106	5	physical	physical	ADJ
ijassa-781	106	6	experiments	experiment	NOUN
ijassa-781	106	7	.	.	PUNCT
ijassa-781	107	1	fig	fig	NOUN
ijassa-781	107	2	.	.	PUNCT
ijassa-781	108	1	3	3	X
ijassa-781	108	2	.	.	X
ijassa-781	108	3	materials	material	NOUN
ijassa-781	108	4	database	database	NOUN
ijassa-781	109	1	[	[	X
ijassa-781	109	2	16	16	NUM
ijassa-781	109	3	]	]	PUNCT
ijassa-781	109	4	although	although	SCONJ
ijassa-781	109	5	direct	direct	ADJ
ijassa-781	109	6	calculation	calculation	NOUN
ijassa-781	109	7	of	of	ADP
ijassa-781	109	8	the	the	DET
ijassa-781	109	9	product	product	NOUN
ijassa-781	109	10	model	model	NOUN
ijassa-781	109	11	by	by	ADP
ijassa-781	109	12	its	its	PRON
ijassa-781	109	13	configuration	configuration	NOUN
ijassa-781	109	14	is	be	AUX
ijassa-781	109	15	so	so	ADV
ijassa-781	109	16	much	much	ADV
ijassa-781	109	17	important	important	ADJ
ijassa-781	109	18	,	,	PUNCT
ijassa-781	109	19	it	it	PRON
ijassa-781	109	20	plays	play	VERB
ijassa-781	109	21	only	only	ADV
ijassa-781	109	22	a	a	DET
ijassa-781	109	23	secondary	secondary	ADJ
ijassa-781	109	24	,	,	PUNCT
ijassa-781	109	25	instrumental	instrumental	ADJ
ijassa-781	109	26	role	role	NOUN
ijassa-781	109	27	in	in	ADP
ijassa-781	109	28	preparing	prepare	VERB
ijassa-781	109	29	a	a	DET
ijassa-781	109	30	large	large	ADJ
ijassa-781	109	31	complex	complex	ADJ
ijassa-781	109	32	product	product	NOUN
ijassa-781	109	33	for	for	ADP
ijassa-781	109	34	manufacturing	manufacturing	NOUN
ijassa-781	109	35	.	.	PUNCT
ijassa-781	110	1	according	accord	VERB
ijassa-781	110	2	to	to	ADP
ijassa-781	110	3	the	the	DET
ijassa-781	110	4	standards	standard	NOUN
ijassa-781	110	5	like	like	ADP
ijassa-781	110	6	iec	iec	NOUN
ijassa-781	110	7	81346	81346	NUM
ijassa-781	110	8	and	and	CCONJ
ijassa-781	110	9	manufacturing	manufacturing	NOUN
ijassa-781	110	10	practices	practice	NOUN
ijassa-781	110	11	,	,	PUNCT
ijassa-781	110	12	the	the	DET
ijassa-781	110	13	assembly	assembly	NOUN
ijassa-781	110	14	process	process	NOUN
ijassa-781	110	15	is	be	AUX
ijassa-781	110	16	routinely	routinely	ADV
ijassa-781	110	17	designed	design	VERB
ijassa-781	110	18	in	in	ADP
ijassa-781	110	19	a	a	DET
ijassa-781	110	20	top	top	ADJ
ijassa-781	110	21	-	-	PUNCT
ijassa-781	110	22	down	down	ADP
ijassa-781	110	23	fashion	fashion	NOUN
ijassa-781	110	24	,	,	PUNCT
ijassa-781	110	25	from	from	ADP
ijassa-781	110	26	the	the	DET
ijassa-781	110	27	product	product	NOUN
ijassa-781	110	28	as	as	ADP
ijassa-781	110	29	a	a	DET
ijassa-781	110	30	whole	whole	NOUN
ijassa-781	110	31	to	to	PART
ijassa-781	110	32	progressively	progressively	ADV
ijassa-781	110	33	smaller	small	ADJ
ijassa-781	110	34	units	unit	NOUN
ijassa-781	110	35	.	.	PUNCT
ijassa-781	111	1	therefore	therefore	ADV
ijassa-781	111	2	,	,	PUNCT
ijassa-781	111	3	a	a	DET
ijassa-781	111	4	typical	typical	ADJ
ijassa-781	111	5	assembly	assembly	NOUN
ijassa-781	111	6	planning	planning	NOUN
ijassa-781	111	7	problem	problem	NOUN
ijassa-781	111	8	has	have	VERB
ijassa-781	111	9	inverse	inverse	NOUN
ijassa-781	111	10	rather	rather	ADV
ijassa-781	111	11	than	than	ADP
ijassa-781	111	12	direct	direct	ADJ
ijassa-781	111	13	character	character	NOUN
ijassa-781	111	14	:	:	PUNCT
ijassa-781	111	15	given	give	VERB
ijassa-781	111	16	the	the	DET
ijassa-781	111	17	unit	unit	NOUN
ijassa-781	111	18	model	model	NOUN
ijassa-781	111	19	,	,	PUNCT
ijassa-781	111	20	it	it	PRON
ijassa-781	111	21	is	be	AUX
ijassa-781	111	22	needed	need	VERB
ijassa-781	111	23	to	to	PART
ijassa-781	111	24	determine	determine	VERB
ijassa-781	111	25	(	(	PUNCT
ijassa-781	111	26	recover	recover	VERB
ijassa-781	111	27	)	)	PUNCT
ijassa-781	111	28	the	the	DET
ijassa-781	111	29	configuration	configuration	NOUN
ijassa-781	111	30	from	from	ADP
ijassa-781	111	31	which	which	PRON
ijassa-781	111	32	the	the	DET
ijassa-781	111	33	unit	unit	NOUN
ijassa-781	111	34	can	can	AUX
ijassa-781	111	35	be	be	AUX
ijassa-781	111	36	effectively	effectively	ADV
ijassa-781	111	37	assembled	assemble	VERB
ijassa-781	111	38	.	.	PUNCT
ijassa-781	112	1	the	the	DET
ijassa-781	112	2	assortment	assortment	NOUN
ijassa-781	112	3	of	of	ADP
ijassa-781	112	4	theoretically	theoretically	ADV
ijassa-781	112	5	possible	possible	ADJ
ijassa-781	112	6	configurations	configuration	NOUN
ijassa-781	112	7	is	be	AUX
ijassa-781	112	8	unimaginably	unimaginably	ADV
ijassa-781	112	9	huge	huge	ADJ
ijassa-781	112	10	,	,	PUNCT
ijassa-781	112	11	but	but	CCONJ
ijassa-781	112	12	in	in	ADP
ijassa-781	112	13	practice	practice	NOUN
ijassa-781	112	14	,	,	PUNCT
ijassa-781	112	15	it	it	PRON
ijassa-781	112	16	is	be	AUX
ijassa-781	112	17	severely	severely	ADV
ijassa-781	112	18	constrained	constrain	VERB
ijassa-781	112	19	by	by	ADP
ijassa-781	112	20	plant	plant	NOUN
ijassa-781	112	21	capabilities	capability	NOUN
ijassa-781	112	22	,	,	PUNCT
ijassa-781	112	23	stakeholders	stakeholder	NOUN
ijassa-781	112	24	’	'	PUNCT
ijassa-781	112	25	requirements	requirement	NOUN
ijassa-781	112	26	,	,	PUNCT
ijassa-781	112	27	suppliers	supplier	NOUN
ijassa-781	112	28	’	'	PUNCT
ijassa-781	112	29	offers	offer	NOUN
ijassa-781	112	30	,	,	PUNCT
ijassa-781	112	31	engineers	engineer	NOUN
ijassa-781	112	32	’	’	PART
ijassa-781	112	33	preferences	preference	NOUN
ijassa-781	112	34	,	,	PUNCT
ijassa-781	112	35	and	and	CCONJ
ijassa-781	112	36	other	other	ADJ
ijassa-781	112	37	factors	factor	NOUN
ijassa-781	112	38	.	.	PUNCT
ijassa-781	113	1	so	so	ADV
ijassa-781	113	2	,	,	PUNCT
ijassa-781	113	3	the	the	DET
ijassa-781	113	4	primary	primary	ADJ
ijassa-781	113	5	assembly	assembly	NOUN
ijassa-781	113	6	planning	planning	NOUN
ijassa-781	113	7	procedure	procedure	NOUN
ijassa-781	113	8	consists	consist	VERB
ijassa-781	113	9	in	in	ADP
ijassa-781	113	10	identification	identification	NOUN
ijassa-781	113	11	of	of	ADP
ijassa-781	113	12	the	the	DET
ijassa-781	113	13	class	class	NOUN
ijassa-781	113	14	of	of	ADP
ijassa-781	113	15	all	all	DET
ijassa-781	113	16	configurations	configuration	NOUN
ijassa-781	113	17	that	that	PRON
ijassa-781	113	18	produce	produce	VERB
ijassa-781	113	19	the	the	DET
ijassa-781	113	20	given	give	VERB
ijassa-781	113	21	unit	unit	NOUN
ijassa-781	113	22	and	and	CCONJ
ijassa-781	113	23	satisfy	satisfy	VERB
ijassa-781	113	24	all	all	DET
ijassa-781	113	25	constraints	constraint	NOUN
ijassa-781	113	26	imposed	impose	VERB
ijassa-781	113	27	by	by	ADP
ijassa-781	113	28	practical	practical	ADJ
ijassa-781	113	29	factors	factor	NOUN
ijassa-781	113	30	.	.	PUNCT
ijassa-781	114	1	once	once	ADV
ijassa-781	114	2	this	this	DET
ijassa-781	114	3	class	class	NOUN
ijassa-781	114	4	is	be	AUX
ijassa-781	114	5	identified	identify	VERB
ijassa-781	114	6	,	,	PUNCT
ijassa-781	114	7	search	search	NOUN
ijassa-781	114	8	for	for	ADP
ijassa-781	114	9	the	the	DET
ijassa-781	114	10	final	final	ADJ
ijassa-781	114	11	unit	unit	NOUN
ijassa-781	114	12	configuration	configuration	NOUN
ijassa-781	114	13	is	be	AUX
ijassa-781	114	14	performed	perform	VERB
ijassa-781	114	15	across	across	ADP
ijassa-781	114	16	it	it	PRON
ijassa-781	114	17	aiming	aim	VERB
ijassa-781	114	18	to	to	PART
ijassa-781	114	19	optimize	optimize	VERB
ijassa-781	114	20	conventional	conventional	ADJ
ijassa-781	114	21	process	process	NOUN
ijassa-781	114	22	objective	objective	ADJ
ijassa-781	114	23	functions	function	NOUN
ijassa-781	114	24	,	,	PUNCT
ijassa-781	114	25	such	such	ADJ
ijassa-781	114	26	as	as	ADP
ijassa-781	114	27	cost	cost	NOUN
ijassa-781	114	28	,	,	PUNCT
ijassa-781	114	29	duration	duration	NOUN
ijassa-781	114	30	,	,	PUNCT
ijassa-781	114	31	and	and	CCONJ
ijassa-781	114	32	complexity	complexity	NOUN
ijassa-781	114	33	[	[	X
ijassa-781	114	34	17	17	NUM
ijassa-781	114	35	]	]	PUNCT
ijassa-781	114	36	.	.	PUNCT
ijassa-781	115	1	for	for	ADP
ijassa-781	115	2	this	this	DET
ijassa-781	115	3	reason	reason	NOUN
ijassa-781	115	4	,	,	PUNCT
ijassa-781	115	5	we	we	PRON
ijassa-781	115	6	will	will	AUX
ijassa-781	115	7	call	call	VERB
ijassa-781	115	8	this	this	DET
ijassa-781	115	9	class	class	NOUN
ijassa-781	115	10	the	the	DET
ijassa-781	115	11	assembly	assembly	NOUN
ijassa-781	115	12	design	design	NOUN
ijassa-781	115	13	space	space	NOUN
ijassa-781	115	14	.	.	PUNCT
ijassa-781	116	1	developing	develop	VERB
ijassa-781	116	2	algorithms	algorithm	NOUN
ijassa-781	116	3	and	and	CCONJ
ijassa-781	116	4	tools	tool	NOUN
ijassa-781	116	5	to	to	PART
ijassa-781	116	6	explore	explore	VERB
ijassa-781	116	7	the	the	DET
ijassa-781	116	8	space	space	NOUN
ijassa-781	116	9	on	on	ADP
ijassa-781	116	10	a	a	DET
ijassa-781	116	11	solid	solid	ADJ
ijassa-781	116	12	mathematical	mathematical	ADJ
ijassa-781	116	13	basis	basis	NOUN
ijassa-781	116	14	powered	power	VERB
ijassa-781	116	15	by	by	ADP
ijassa-781	116	16	computer	computer	NOUN
ijassa-781	116	17	algebra	algebra	NOUN
ijassa-781	116	18	and	and	CCONJ
ijassa-781	116	19	artificial	artificial	ADJ
ijassa-781	116	20	intelligence	intelligence	NOUN
ijassa-781	116	21	would	would	AUX
ijassa-781	116	22	allow	allow	VERB
ijassa-781	116	23	to	to	PART
ijassa-781	116	24	automate	automate	VERB
ijassa-781	116	25	the	the	DET
ijassa-781	116	26	design	design	NOUN
ijassa-781	116	27	for	for	ADP
ijassa-781	116	28	manufacturability	manufacturability	NOUN
ijassa-781	116	29	(	(	PUNCT
ijassa-781	116	30	dfm	dfm	ADJ
ijassa-781	116	31	)	)	PUNCT
ijassa-781	116	32	practices	practice	NOUN
ijassa-781	116	33	.	.	PUNCT
ijassa-781	117	1	the	the	DET
ijassa-781	117	2	ultimate	ultimate	ADJ
ijassa-781	117	3	target	target	NOUN
ijassa-781	117	4	is	be	AUX
ijassa-781	117	5	the	the	DET
ijassa-781	117	6	end	end	NOUN
ijassa-781	117	7	-	-	PUNCT
ijassa-781	117	8	toend	toend	ADJ
ijassa-781	117	9	generative	generative	ADJ
ijassa-781	117	10	design	design	NOUN
ijassa-781	117	11	cycle	cycle	NOUN
ijassa-781	117	12	of	of	ADP
ijassa-781	117	13	complex	complex	ADJ
ijassa-781	117	14	products	product	NOUN
ijassa-781	117	15	in	in	ADP
ijassa-781	117	16	model	model	NOUN
ijassa-781	117	17	-	-	PUNCT
ijassa-781	117	18	based	base	VERB
ijassa-781	117	19	enterprise	enterprise	NOUN
ijassa-781	117	20	environment	environment	NOUN
ijassa-781	117	21	.	.	PUNCT
ijassa-781	118	1	for	for	ADP
ijassa-781	118	2	example	example	NOUN
ijassa-781	118	3	,	,	PUNCT
ijassa-781	118	4	the	the	DET
ijassa-781	118	5	inverse	inverse	ADJ
ijassa-781	118	6	problem	problem	NOUN
ijassa-781	118	7	of	of	ADP
ijassa-781	118	8	gluing	gluing	NOUN
ijassa-781	118	9	is	be	AUX
ijassa-781	118	10	stated	state	VERB
ijassa-781	118	11	as	as	SCONJ
ijassa-781	118	12	follows	follow	VERB
ijassa-781	118	13	.	.	PUNCT
ijassa-781	119	1	in	in	ADP
ijassa-781	119	2	accordance	accordance	NOUN
ijassa-781	119	3	with	with	ADP
ijassa-781	119	4	the	the	DET
ijassa-781	119	5	iec	iec	NOUN
ijassa-781	119	6	81346	81346	NUM
ijassa-781	119	7	standard	standard	NOUN
ijassa-781	119	8	,	,	PUNCT
ijassa-781	119	9	the	the	DET
ijassa-781	119	10	structure	structure	NOUN
ijassa-781	119	11	of	of	ADP
ijassa-781	119	12	the	the	DET
ijassa-781	119	13	target	target	NOUN
ijassa-781	119	14	product	product	NOUN
ijassa-781	119	15	r	r	NOUN
ijassa-781	119	16	is	be	AUX
ijassa-781	119	17	specified	specify	VERB
ijassa-781	119	18	as	as	ADP
ijassa-781	119	19	a	a	DET
ijassa-781	119	20	graph	graph	NOUN
ijassa-781	119	21	consisting	consist	VERB
ijassa-781	119	22	of	of	ADP
ijassa-781	119	23	three	three	NUM
ijassa-781	119	24	models	model	NOUN
ijassa-781	119	25	p	p	X
ijassa-781	119	26	,	,	PUNCT
ijassa-781	119	27	s	s	X
ijassa-781	119	28	,	,	PUNCT
ijassa-781	119	29	r	r	NOUN
ijassa-781	119	30	and	and	CCONJ
ijassa-781	119	31	two	two	NUM
ijassa-781	119	32	actions	action	NOUN
ijassa-781	119	33	p	p	X
ijassa-781	119	34			NOUN
ijassa-781	119	35	r	r	NOUN
ijassa-781	119	36	,	,	PUNCT
ijassa-781	119	37	s	s	PART
ijassa-781	119	38			NOUN
ijassa-781	119	39	r.	r.	VERB
ijassa-781	119	40	an	an	DET
ijassa-781	119	41	admissible	admissible	ADJ
ijassa-781	119	42	gluing	gluing	NOUN
ijassa-781	119	43	configuration	configuration	NOUN
ijassa-781	119	44	is	be	AUX
ijassa-781	119	45	any	any	DET
ijassa-781	119	46	combination	combination	NOUN
ijassa-781	119	47	of	of	ADP
ijassa-781	119	48	five	five	NUM
ijassa-781	119	49	models	model	NOUN
ijassa-781	119	50	and	and	CCONJ
ijassa-781	119	51	four	four	NUM
ijassa-781	119	52	actions	action	NOUN
ijassa-781	119	53	that	that	PRON
ijassa-781	119	54	comprise	comprise	VERB
ijassa-781	119	55	the	the	DET
ijassa-781	119	56	“	"	PUNCT
ijassa-781	119	57	zigzag	zigzag	NOUN
ijassa-781	119	58	”	"	PUNCT
ijassa-781	119	59	shape	shape	NOUN
ijassa-781	119	60	highlighted	highlight	VERB
ijassa-781	119	61	by	by	ADP
ijassa-781	119	62	solid	solid	ADJ
ijassa-781	119	63	arrows	arrow	NOUN
ijassa-781	119	64	in	in	ADP
ijassa-781	119	65	fig	fig	NOUN
ijassa-781	119	66	.	.	PUNCT
ijassa-781	120	1	2	2	NUM
ijassa-781	120	2	.	.	X
ijassa-781	120	3	among	among	ADP
ijassa-781	120	4	all	all	DET
ijassa-781	120	5	such	such	ADJ
ijassa-781	120	6	configurations	configuration	NOUN
ijassa-781	120	7	,	,	PUNCT
ijassa-781	120	8	those	those	PRON
ijassa-781	120	9	are	be	AUX
ijassa-781	120	10	of	of	ADP
ijassa-781	120	11	interest	interest	NOUN
ijassa-781	120	12	for	for	ADP
ijassa-781	120	13	which	which	PRON
ijassa-781	120	14	solving	solve	VERB
ijassa-781	120	15	the	the	DET
ijassa-781	120	16	direct	direct	ADJ
ijassa-781	120	17	problem	problem	NOUN
ijassa-781	120	18	produces	produce	VERB
ijassa-781	120	19	specified	specify	VERB
ijassa-781	120	20	actions	action	NOUN
ijassa-781	120	21	p	p	NOUN
ijassa-781	120	22			NOUN
ijassa-781	120	23	r	r	NOUN
ijassa-781	120	24	and	and	CCONJ
ijassa-781	120	25	s	s	PART
ijassa-781	120	26			NOUN
ijassa-781	120	27	r	r	NOUN
ijassa-781	120	28	as	as	ADP
ijassa-781	120	29	two	two	NUM
ijassa-781	120	30	-	-	PUNCT
ijassa-781	120	31	step	step	NOUN
ijassa-781	120	32	inclusions	inclusion	NOUN
ijassa-781	120	33	of	of	ADP
ijassa-781	120	34	the	the	DET
ijassa-781	120	35	two	two	NUM
ijassa-781	120	36	outer	outer	ADJ
ijassa-781	120	37	models	model	NOUN
ijassa-781	120	38	into	into	ADP
ijassa-781	120	39	the	the	DET
ijassa-781	120	40	target	target	NOUN
ijassa-781	120	41	product	product	NOUN
ijassa-781	120	42	.	.	PUNCT
ijassa-781	121	1	in	in	ADP
ijassa-781	121	2	particular	particular	ADJ
ijassa-781	121	3	,	,	PUNCT
ijassa-781	121	4	outer	outer	ADJ
ijassa-781	121	5	models	model	NOUN
ijassa-781	121	6	themselves	themselves	PRON
ijassa-781	121	7	are	be	AUX
ijassa-781	121	8	required	require	VERB
ijassa-781	121	9	to	to	PART
ijassa-781	121	10	be	be	AUX
ijassa-781	121	11	precisely	precisely	ADV
ijassa-781	121	12	p	p	ADJ
ijassa-781	121	13	and	and	CCONJ
ijassa-781	121	14	s	s	NOUN
ijassa-781	121	15	,	,	PUNCT
ijassa-781	121	16	and	and	CCONJ
ijassa-781	121	17	the	the	DET
ijassa-781	121	18	target	target	NOUN
ijassa-781	121	19	product	product	NOUN
ijassa-781	121	20	model	model	NOUN
ijassa-781	121	21	is	be	AUX
ijassa-781	121	22	required	require	VERB
ijassa-781	121	23	to	to	PART
ijassa-781	121	24	be	be	AUX
ijassa-781	121	25	r.	r.	PROPN
ijassa-781	121	26	3	3	NUM
ijassa-781	121	27	.	.	PUNCT
ijassa-781	121	28	category	category	NOUN
ijassa-781	121	29	theory	theory	NOUN
ijassa-781	121	30	in	in	ADP
ijassa-781	121	31	product	product	NOUN
ijassa-781	121	32	assembly	assembly	NOUN
ijassa-781	121	33	modeling	modeling	NOUN
ijassa-781	121	34	as	as	SCONJ
ijassa-781	121	35	stated	state	VERB
ijassa-781	121	36	in	in	ADP
ijassa-781	121	37	the	the	DET
ijassa-781	121	38	introduction	introduction	NOUN
ijassa-781	121	39	,	,	PUNCT
ijassa-781	121	40	the	the	DET
ijassa-781	121	41	natural	natural	ADJ
ijassa-781	121	42	source	source	NOUN
ijassa-781	121	43	of	of	ADP
ijassa-781	121	44	mathematical	mathematical	ADJ
ijassa-781	121	45	means	mean	NOUN
ijassa-781	121	46	for	for	ADP
ijassa-781	121	47	representation	representation	NOUN
ijassa-781	121	48	,	,	PUNCT
ijassa-781	121	49	generation	generation	NOUN
ijassa-781	121	50	,	,	PUNCT
ijassa-781	121	51	and	and	CCONJ
ijassa-781	121	52	verification	verification	NOUN
ijassa-781	121	53	of	of	ADP
ijassa-781	121	54	product	product	NOUN
ijassa-781	121	55	structure	structure	NOUN
ijassa-781	121	56	graphs	graph	NOUN
ijassa-781	121	57	is	be	AUX
ijassa-781	121	58	category	category	NOUN
ijassa-781	121	59	theory	theory	NOUN
ijassa-781	121	60	,	,	PUNCT
ijassa-781	121	61	viz	viz	PROPN
ijassa-781	121	62	.	.	PUNCT
ijassa-781	122	1	a	a	DET
ijassa-781	122	2	branch	branch	NOUN
ijassa-781	122	3	of	of	ADP
ijassa-781	122	4	higher	high	ADJ
ijassa-781	122	5	algebra	algebra	NOUN
ijassa-781	122	6	that	that	SCONJ
ijassa-781	122	7	“	"	PUNCT
ijassa-781	122	8	starts	start	VERB
ijassa-781	122	9	with	with	ADP
ijassa-781	122	10	the	the	DET
ijassa-781	122	11	observation	observation	NOUN
ijassa-781	122	12	that	that	SCONJ
ijassa-781	122	13	many	many	ADJ
ijassa-781	122	14	properties	property	NOUN
ijassa-781	122	15	of	of	ADP
ijassa-781	122	16	mathematical	mathematical	ADJ
ijassa-781	122	17	systems	system	NOUN
ijassa-781	122	18	can	can	AUX
ijassa-781	122	19	be	be	AUX
ijassa-781	122	20	unified	unify	VERB
ijassa-781	122	21	and	and	CCONJ
ijassa-781	122	22	simplified	simplify	VERB
ijassa-781	122	23	by	by	ADP
ijassa-781	122	24	a	a	DET
ijassa-781	122	25	presentation	presentation	NOUN
ijassa-781	122	26	with	with	ADP
ijassa-781	122	27	diagrams	diagram	NOUN
ijassa-781	122	28	of	of	ADP
ijassa-781	122	29	arrows	arrow	NOUN
ijassa-781	122	30	”	"	PUNCT
ijassa-781	122	31	(	(	PUNCT
ijassa-781	122	32	[	[	X
ijassa-781	122	33	18	18	NUM
ijassa-781	122	34	,	,	PUNCT
ijassa-781	122	35	p.	p.	NOUN
ijassa-781	122	36	1	1	NUM
ijassa-781	122	37	]	]	NUM
ijassa-781	122	38	)	)	PUNCT
ijassa-781	122	39	.	.	PUNCT
ijassa-781	123	1	recall	recall	VERB
ijassa-781	123	2	that	that	SCONJ
ijassa-781	123	3	a	a	DET
ijassa-781	123	4	category	category	NOUN
ijassa-781	123	5	is	be	AUX
ijassa-781	123	6	a	a	DET
ijassa-781	123	7	class	class	NOUN
ijassa-781	123	8	of	of	ADP
ijassa-781	123	9	abstract	abstract	ADJ
ijassa-781	123	10	objects	object	NOUN
ijassa-781	123	11	pairwise	pairwise	NOUN
ijassa-781	123	12	related	relate	VERB
ijassa-781	123	13	by	by	ADP
ijassa-781	123	14	morphisms	morphism	NOUN
ijassa-781	123	15	(	(	PUNCT
ijassa-781	123	16	arrows	arrow	NOUN
ijassa-781	123	17	)	)	PUNCT
ijassa-781	123	18	.	.	PUNCT
ijassa-781	124	1	the	the	DET
ijassa-781	124	2	leveraging	leverage	VERB
ijassa-781	124	3	category	category	NOUN
ijassa-781	124	4	theory	theory	NOUN
ijassa-781	124	5	in	in	ADP
ijassa-781	124	6	model	model	NOUN
ijassa-781	124	7	based	base	VERB
ijassa-781	124	8	enterprise	enterprise	NOUN
ijassa-781	124	9	55	55	NUM
ijassa-781	124	10	copyright	copyright	NOUN
ijassa-781	124	11	©	©	PROPN
ijassa-781	124	12	2020	2020	NUM
ijassa-781	124	13	assa	assa	NOUN
ijassa-781	124	14	.	.	PUNCT
ijassa-781	125	1	adv	adv	PROPN
ijassa-781	125	2	.	.	PUNCT
ijassa-781	126	1	in	in	ADP
ijassa-781	126	2	systems	system	NOUN
ijassa-781	126	3	science	science	NOUN
ijassa-781	126	4	and	and	CCONJ
ijassa-781	126	5	appl	appl	NOUN
ijassa-781	126	6	.	.	PUNCT
ijassa-781	127	1	(	(	PUNCT
ijassa-781	127	2	2020	2020	NUM
ijassa-781	127	3	)	)	PUNCT
ijassa-781	127	4	precise	precise	ADJ
ijassa-781	127	5	definition	definition	NOUN
ijassa-781	127	6	takes	take	VERB
ijassa-781	127	7	just	just	ADV
ijassa-781	127	8	a	a	DET
ijassa-781	127	9	few	few	ADJ
ijassa-781	127	10	lines	line	NOUN
ijassa-781	127	11	:	:	PUNCT
ijassa-781	127	12	a	a	DET
ijassa-781	127	13	category	category	NOUN
ijassa-781	127	14	c	c	NOUN
ijassa-781	127	15	consists	consist	VERB
ijassa-781	127	16	of	of	ADP
ijassa-781	127	17	a	a	DET
ijassa-781	127	18	class	class	NOUN
ijassa-781	127	19	of	of	ADP
ijassa-781	127	20	objects	object	NOUN
ijassa-781	127	21	ob	ob	ADP
ijassa-781	127	22	c	c	NOUN
ijassa-781	127	23	and	and	CCONJ
ijassa-781	127	24	a	a	DET
ijassa-781	127	25	class	class	NOUN
ijassa-781	127	26	of	of	ADP
ijassa-781	127	27	morphisms	morphism	NOUN
ijassa-781	128	1	mor	mor	PROPN
ijassa-781	128	2	c	c	PROPN
ijassa-781	128	3	endowed	endow	VERB
ijassa-781	128	4	with	with	ADP
ijassa-781	128	5	the	the	DET
ijassa-781	128	6	following	follow	VERB
ijassa-781	128	7	operations	operation	NOUN
ijassa-781	128	8	.	.	PUNCT
ijassa-781	129	1	firstly	firstly	ADV
ijassa-781	129	2	,	,	PUNCT
ijassa-781	129	3	two	two	NUM
ijassa-781	129	4	objects	object	NOUN
ijassa-781	129	5	are	be	AUX
ijassa-781	129	6	associated	associate	VERB
ijassa-781	129	7	with	with	ADP
ijassa-781	129	8	each	each	DET
ijassa-781	129	9	morphism	morphism	NOUN
ijassa-781	130	1	f	f	NOUN
ijassa-781	130	2	:	:	PUNCT
ijassa-781	130	3	a	a	DET
ijassa-781	130	4	domain	domain	NOUN
ijassa-781	130	5	(	(	PUNCT
ijassa-781	130	6	arrow	arrow	NOUN
ijassa-781	130	7	source	source	NOUN
ijassa-781	130	8	)	)	PUNCT
ijassa-781	130	9	dom	dom	NOUN
ijassa-781	130	10	f	f	PROPN
ijassa-781	130	11	and	and	CCONJ
ijassa-781	130	12	a	a	DET
ijassa-781	130	13	codomain	codomain	ADJ
ijassa-781	130	14	(	(	PUNCT
ijassa-781	130	15	target	target	NOUN
ijassa-781	130	16	)	)	PUNCT
ijassa-781	130	17	codom	codom	NOUN
ijassa-781	130	18	f	f	NOUN
ijassa-781	130	19	,	,	PUNCT
ijassa-781	130	20	so	so	SCONJ
ijassa-781	130	21	that	that	SCONJ
ijassa-781	130	22	the	the	DET
ijassa-781	130	23	pair	pair	NOUN
ijassa-781	130	24	of	of	ADP
ijassa-781	130	25	equalities	equality	NOUN
ijassa-781	130	26	dom	dom	NOUN
ijassa-781	130	27	f	f	PROPN
ijassa-781	130	28	=	=	PUNCT
ijassa-781	130	29	a	a	PROPN
ijassa-781	130	30	and	and	CCONJ
ijassa-781	130	31	codom	codom	PROPN
ijassa-781	130	32	f	f	PROPN
ijassa-781	130	33	=	=	SYM
ijassa-781	130	34	b	b	PROPN
ijassa-781	130	35	is	be	AUX
ijassa-781	130	36	depicted	depict	VERB
ijassa-781	130	37	as	as	ADP
ijassa-781	130	38	an	an	DET
ijassa-781	130	39	arrow	arrow	NOUN
ijassa-781	130	40	f	f	NOUN
ijassa-781	130	41	:	:	PUNCT
ijassa-781	130	42	a	a	DET
ijassa-781	130	43			X
ijassa-781	130	44	b.	b.	VERB
ijassa-781	131	1	secondly	secondly	ADV
ijassa-781	131	2	,	,	PUNCT
ijassa-781	131	3	for	for	ADP
ijassa-781	131	4	any	any	DET
ijassa-781	131	5	pair	pair	NOUN
ijassa-781	131	6	of	of	ADP
ijassa-781	131	7	morphisms	morphism	NOUN
ijassa-781	131	8	f	f	NOUN
ijassa-781	131	9	,	,	PUNCT
ijassa-781	131	10	g	g	PROPN
ijassa-781	131	11	that	that	PRON
ijassa-781	131	12	satisfies	satisfy	VERB
ijassa-781	131	13	the	the	DET
ijassa-781	131	14	condition	condition	NOUN
ijassa-781	131	15	codom	codom	NOUN
ijassa-781	131	16	f	f	PROPN
ijassa-781	131	17	=	=	PUNCT
ijassa-781	131	18	dom	dom	NOUN
ijassa-781	131	19	g	g	NOUN
ijassa-781	131	20	,	,	PUNCT
ijassa-781	131	21	the	the	DET
ijassa-781	131	22	composition	composition	NOUN
ijassa-781	131	23	of	of	ADP
ijassa-781	131	24	morphisms	morphism	NOUN
ijassa-781	131	25	g	g	PROPN
ijassa-781	131	26	◦	◦	NOUN
ijassa-781	131	27	f	f	X
ijassa-781	131	28	:	:	PUNCT
ijassa-781	131	29	dom	dom	NOUN
ijassa-781	131	30	f	f	PROPN
ijassa-781	131	31			PROPN
ijassa-781	131	32	codom	codom	PROPN
ijassa-781	131	33	g	g	PROPN
ijassa-781	131	34	is	be	AUX
ijassa-781	131	35	defined	define	VERB
ijassa-781	131	36	,	,	PUNCT
ijassa-781	131	37	and	and	CCONJ
ijassa-781	131	38	it	it	PRON
ijassa-781	131	39	is	be	AUX
ijassa-781	131	40	associative	associative	ADJ
ijassa-781	131	41	:	:	PUNCT
ijassa-781	131	42	for	for	ADP
ijassa-781	131	43	any	any	DET
ijassa-781	131	44	three	three	NUM
ijassa-781	131	45	morphisms	morphism	NOUN
ijassa-781	131	46	f	f	NOUN
ijassa-781	131	47	,	,	PUNCT
ijassa-781	131	48	g	g	PROPN
ijassa-781	131	49	,	,	PUNCT
ijassa-781	131	50	h	h	NOUN
ijassa-781	131	51	such	such	ADJ
ijassa-781	131	52	that	that	DET
ijassa-781	131	53	codom	codom	NOUN
ijassa-781	131	54	f	f	PROPN
ijassa-781	131	55	=	=	PUNCT
ijassa-781	131	56	dom	dom	NOUN
ijassa-781	131	57	g	g	NOUN
ijassa-781	131	58	and	and	CCONJ
ijassa-781	131	59	codom	codom	PROPN
ijassa-781	131	60	g	g	PROPN
ijassa-781	131	61	=	=	PROPN
ijassa-781	131	62	dom	dom	NOUN
ijassa-781	131	63	h	h	NOUN
ijassa-781	131	64	,	,	PUNCT
ijassa-781	131	65	the	the	DET
ijassa-781	131	66	equality	equality	NOUN
ijassa-781	131	67	h	h	NOUN
ijassa-781	131	68	◦	◦	NOUN
ijassa-781	131	69	(	(	PUNCT
ijassa-781	131	70	g	g	NOUN
ijassa-781	131	71	◦	◦	NOUN
ijassa-781	131	72	f	f	X
ijassa-781	131	73	)	)	PUNCT
ijassa-781	132	1	=	=	SYM
ijassa-781	132	2	(	(	PUNCT
ijassa-781	132	3	h	h	NOUN
ijassa-781	132	4	◦	◦	NOUN
ijassa-781	132	5	g	g	NOUN
ijassa-781	132	6	)	)	PUNCT
ijassa-781	132	7	◦	◦	NOUN
ijassa-781	132	8	f	f	PROPN
ijassa-781	132	9	holds	hold	VERB
ijassa-781	132	10	.	.	PUNCT
ijassa-781	133	1	thirdly	thirdly	ADV
ijassa-781	133	2	,	,	PUNCT
ijassa-781	133	3	any	any	DET
ijassa-781	133	4	object	object	NOUN
ijassa-781	133	5	a	a	PRON
ijassa-781	133	6	has	have	VERB
ijassa-781	133	7	an	an	DET
ijassa-781	133	8	associated	associated	ADJ
ijassa-781	133	9	identity	identity	NOUN
ijassa-781	133	10	morphism	morphism	NOUN
ijassa-781	133	11	1a	1a	NOUN
ijassa-781	133	12	:	:	PUNCT
ijassa-781	133	13	a	a	DET
ijassa-781	133	14			NOUN
ijassa-781	133	15	a	a	DET
ijassa-781	133	16	such	such	ADJ
ijassa-781	134	1	that	that	PRON
ijassa-781	134	2	f	f	PROPN
ijassa-781	135	1	◦	◦	NOUN
ijassa-781	135	2	1a	1a	X
ijassa-781	135	3	=	=	SYM
ijassa-781	135	4	1b	1b	NUM
ijassa-781	135	5	◦	◦	NOUN
ijassa-781	135	6	f	f	X
ijassa-781	135	7	=	=	SYM
ijassa-781	135	8	f	f	PROPN
ijassa-781	135	9	for	for	ADP
ijassa-781	135	10	any	any	DET
ijassa-781	135	11	morphism	morphism	NOUN
ijassa-781	135	12	f	f	PROPN
ijassa-781	135	13	:	:	PUNCT
ijassa-781	135	14	a	a	DET
ijassa-781	135	15			X
ijassa-781	135	16	b.	b.	VERB
ijassa-781	135	17	a	a	DET
ijassa-781	135	18	classic	classic	ADJ
ijassa-781	135	19	example	example	NOUN
ijassa-781	135	20	of	of	ADP
ijassa-781	135	21	a	a	DET
ijassa-781	135	22	category	category	NOUN
ijassa-781	135	23	is	be	AUX
ijassa-781	135	24	set	set	VERB
ijassa-781	135	25	that	that	PRON
ijassa-781	135	26	consists	consist	VERB
ijassa-781	135	27	of	of	ADP
ijassa-781	135	28	all	all	DET
ijassa-781	135	29	sets	set	NOUN
ijassa-781	135	30	and	and	CCONJ
ijassa-781	135	31	all	all	DET
ijassa-781	135	32	maps	map	NOUN
ijassa-781	135	33	between	between	ADP
ijassa-781	135	34	sets	set	NOUN
ijassa-781	135	35	:	:	PUNCT
ijassa-781	135	36	the	the	DET
ijassa-781	135	37	composition	composition	NOUN
ijassa-781	135	38	law	law	NOUN
ijassa-781	135	39	for	for	ADP
ijassa-781	135	40	maps	map	NOUN
ijassa-781	135	41	is	be	AUX
ijassa-781	135	42	defined	define	VERB
ijassa-781	135	43	by	by	ADP
ijassa-781	135	44	the	the	DET
ijassa-781	135	45	standard	standard	ADJ
ijassa-781	135	46	substitution	substitution	NOUN
ijassa-781	135	47	,	,	PUNCT
ijassa-781	135	48	and	and	CCONJ
ijassa-781	135	49	the	the	DET
ijassa-781	135	50	identity	identity	NOUN
ijassa-781	135	51	map	map	NOUN
ijassa-781	135	52	of	of	ADP
ijassa-781	135	53	a	a	DET
ijassa-781	135	54	set	set	NOUN
ijassa-781	135	55	sends	send	VERB
ijassa-781	135	56	each	each	DET
ijassa-781	135	57	element	element	NOUN
ijassa-781	135	58	to	to	ADP
ijassa-781	135	59	itself	itself	PRON
ijassa-781	135	60	.	.	PUNCT
ijassa-781	136	1	the	the	DET
ijassa-781	136	2	axioms	axiom	NOUN
ijassa-781	136	3	of	of	ADP
ijassa-781	136	4	a	a	DET
ijassa-781	136	5	category	category	NOUN
ijassa-781	136	6	are	be	AUX
ijassa-781	136	7	inherently	inherently	ADV
ijassa-781	136	8	symmetrical	symmetrical	ADJ
ijassa-781	136	9	with	with	ADP
ijassa-781	136	10	regard	regard	NOUN
ijassa-781	136	11	to	to	ADP
ijassa-781	136	12	swapping	swap	VERB
ijassa-781	136	13	dom	dom	NOUN
ijassa-781	136	14	with	with	ADP
ijassa-781	136	15	codom	codom	NOUN
ijassa-781	136	16	along	along	ADP
ijassa-781	136	17	with	with	ADP
ijassa-781	136	18	reversing	reverse	VERB
ijassa-781	136	19	the	the	DET
ijassa-781	136	20	order	order	NOUN
ijassa-781	136	21	of	of	ADP
ijassa-781	136	22	composing	compose	VERB
ijassa-781	136	23	morphisms	morphism	NOUN
ijassa-781	136	24	:	:	PUNCT
ijassa-781	136	25	the	the	DET
ijassa-781	136	26	category	category	NOUN
ijassa-781	136	27	obtained	obtain	VERB
ijassa-781	136	28	this	this	DET
ijassa-781	136	29	way	way	NOUN
ijassa-781	136	30	from	from	ADP
ijassa-781	136	31	c	c	PROPN
ijassa-781	136	32	is	be	AUX
ijassa-781	136	33	called	call	VERB
ijassa-781	136	34	dual	dual	ADV
ijassa-781	136	35	of	of	ADP
ijassa-781	136	36	c	c	NOUN
ijassa-781	136	37	and	and	CCONJ
ijassa-781	136	38	denoted	denote	VERB
ijassa-781	136	39	by	by	ADP
ijassa-781	136	40	cop	cop	NOUN
ijassa-781	136	41	.	.	PUNCT
ijassa-781	137	1	the	the	DET
ijassa-781	137	2	axioms	axiom	NOUN
ijassa-781	137	3	also	also	ADV
ijassa-781	137	4	tolerate	tolerate	VERB
ijassa-781	137	5	restriction	restriction	NOUN
ijassa-781	137	6	to	to	ADP
ijassa-781	137	7	subclasses	subclass	NOUN
ijassa-781	137	8	,	,	PUNCT
ijassa-781	137	9	so	so	SCONJ
ijassa-781	137	10	the	the	DET
ijassa-781	137	11	notion	notion	NOUN
ijassa-781	137	12	of	of	ADP
ijassa-781	137	13	subcategory	subcategory	NOUN
ijassa-781	137	14	is	be	AUX
ijassa-781	137	15	defined	define	VERB
ijassa-781	137	16	:	:	PUNCT
ijassa-781	137	17	a	a	DET
ijassa-781	137	18	subcategory	subcategory	NOUN
ijassa-781	137	19	of	of	ADP
ijassa-781	137	20	c	c	PROPN
ijassa-781	137	21	is	be	AUX
ijassa-781	137	22	a	a	DET
ijassa-781	137	23	pair	pair	NOUN
ijassa-781	137	24	consisting	consist	VERB
ijassa-781	137	25	of	of	ADP
ijassa-781	137	26	a	a	DET
ijassa-781	137	27	subclass	subclass	NOUN
ijassa-781	137	28	of	of	ADP
ijassa-781	137	29	ob	ob	NOUN
ijassa-781	137	30	c	c	PROPN
ijassa-781	137	31	and	and	CCONJ
ijassa-781	137	32	a	a	DET
ijassa-781	137	33	subclass	subclass	NOUN
ijassa-781	137	34	of	of	ADP
ijassa-781	137	35	mor	mor	PROPN
ijassa-781	137	36	c	c	PROPN
ijassa-781	137	37	that	that	PRON
ijassa-781	137	38	are	be	AUX
ijassa-781	137	39	closed	close	VERB
ijassa-781	137	40	with	with	ADP
ijassa-781	137	41	respect	respect	NOUN
ijassa-781	137	42	to	to	ADP
ijassa-781	137	43	operations	operation	NOUN
ijassa-781	137	44	inherited	inherit	VERB
ijassa-781	137	45	from	from	ADP
ijassa-781	137	46	c.	c.	PROPN
ijassa-781	137	47	a	a	DET
ijassa-781	137	48	subcategory	subcategory	NOUN
ijassa-781	137	49	of	of	ADP
ijassa-781	137	50	c	c	PROPN
ijassa-781	137	51	is	be	AUX
ijassa-781	137	52	called	call	VERB
ijassa-781	137	53	full	full	ADJ
ijassa-781	137	54	if	if	SCONJ
ijassa-781	137	55	it	it	PRON
ijassa-781	137	56	contains	contain	VERB
ijassa-781	137	57	any	any	DET
ijassa-781	137	58	c	c	NOUN
ijassa-781	137	59	-	-	PUNCT
ijassa-781	137	60	morphism	morphism	NOUN
ijassa-781	137	61	whose	whose	DET
ijassa-781	137	62	domain	domain	NOUN
ijassa-781	137	63	and	and	CCONJ
ijassa-781	137	64	codomain	codomain	NOUN
ijassa-781	137	65	are	be	AUX
ijassa-781	137	66	contained	contain	VERB
ijassa-781	137	67	in	in	ADP
ijassa-781	137	68	it	it	PRON
ijassa-781	137	69	.	.	PUNCT
ijassa-781	138	1	together	together	ADV
ijassa-781	138	2	with	with	ADP
ijassa-781	138	3	category	category	NOUN
ijassa-781	138	4	,	,	PUNCT
ijassa-781	138	5	the	the	DET
ijassa-781	138	6	concept	concept	NOUN
ijassa-781	138	7	of	of	ADP
ijassa-781	138	8	functor	functor	PROPN
ijassa-781	138	9	is	be	AUX
ijassa-781	138	10	routinely	routinely	ADV
ijassa-781	138	11	introduced	introduce	VERB
ijassa-781	138	12	,	,	PUNCT
ijassa-781	138	13	which	which	PRON
ijassa-781	138	14	is	be	AUX
ijassa-781	138	15	a	a	DET
ijassa-781	138	16	structure	structure	NOUN
ijassa-781	138	17	-	-	PUNCT
ijassa-781	138	18	preserving	preserve	VERB
ijassa-781	138	19	map	map	NOUN
ijassa-781	138	20	between	between	ADP
ijassa-781	138	21	categories	category	NOUN
ijassa-781	138	22	.	.	PUNCT
ijassa-781	139	1	specifically	specifically	ADV
ijassa-781	139	2	,	,	PUNCT
ijassa-781	139	3	a	a	DET
ijassa-781	139	4	functor	functor	PROPN
ijassa-781	139	5	fun	fun	NOUN
ijassa-781	139	6	:	:	PUNCT
ijassa-781	139	7	c	c	X
ijassa-781	139	8			PUNCT
ijassa-781	140	1	d	d	NOUN
ijassa-781	140	2	from	from	ADP
ijassa-781	140	3	category	category	NOUN
ijassa-781	140	4	c	c	NOUN
ijassa-781	140	5	to	to	ADP
ijassa-781	140	6	d	d	PROPN
ijassa-781	140	7	is	be	AUX
ijassa-781	140	8	a	a	DET
ijassa-781	140	9	pair	pair	NOUN
ijassa-781	140	10	of	of	ADP
ijassa-781	140	11	maps	map	NOUN
ijassa-781	140	12	fun	fun	NOUN
ijassa-781	140	13	:	:	PUNCT
ijassa-781	141	1	ob	ob	ADP
ijassa-781	141	2	c	c	NOUN
ijassa-781	141	3			NOUN
ijassa-781	141	4	ob	ob	PROPN
ijassa-781	142	1	d	d	X
ijassa-781	142	2	(	(	PUNCT
ijassa-781	142	3	an	an	DET
ijassa-781	142	4	object	object	NOUN
ijassa-781	142	5	function	function	NOUN
ijassa-781	142	6	)	)	PUNCT
ijassa-781	142	7	and	and	CCONJ
ijassa-781	142	8	fun	fun	NOUN
ijassa-781	142	9	:	:	PUNCT
ijassa-781	142	10	mor	mor	PROPN
ijassa-781	143	1	c	c	X
ijassa-781	143	2			PROPN
ijassa-781	144	1	mor	mor	PROPN
ijassa-781	145	1	d	d	X
ijassa-781	145	2	(	(	PUNCT
ijassa-781	145	3	a	a	DET
ijassa-781	145	4	morphism	morphism	NOUN
ijassa-781	145	5	function	function	NOUN
ijassa-781	145	6	)	)	PUNCT
ijassa-781	145	7	that	that	PRON
ijassa-781	145	8	satisfies	satisfy	VERB
ijassa-781	145	9	the	the	DET
ijassa-781	145	10	following	follow	VERB
ijassa-781	145	11	conditions	condition	NOUN
ijassa-781	145	12	for	for	ADP
ijassa-781	145	13	any	any	DET
ijassa-781	145	14	c	c	NOUN
ijassa-781	145	15	-	-	PUNCT
ijassa-781	145	16	morphisms	morphism	NOUN
ijassa-781	145	17	f	f	NOUN
ijassa-781	145	18	,	,	PUNCT
ijassa-781	145	19	g	g	PROPN
ijassa-781	145	20	and	and	CCONJ
ijassa-781	145	21	c	c	NOUN
ijassa-781	145	22	-	-	PUNCT
ijassa-781	145	23	object	object	VERB
ijassa-781	145	24	a	a	PRON
ijassa-781	145	25	:	:	PUNCT
ijassa-781	145	26	(	(	PUNCT
ijassa-781	145	27	i	i	NOUN
ijassa-781	145	28	)	)	PUNCT
ijassa-781	145	29	fun(dom	fun(dom	NOUN
ijassa-781	146	1	f	f	X
ijassa-781	146	2	)	)	PUNCT
ijassa-781	146	3	=	=	SYM
ijassa-781	146	4	dom	dom	NOUN
ijassa-781	146	5	fun(f	fun(f	PROPN
ijassa-781	146	6	)	)	PUNCT
ijassa-781	146	7	,	,	PUNCT
ijassa-781	146	8	fun(codom	fun(codom	NOUN
ijassa-781	146	9	f	f	X
ijassa-781	146	10	)	)	PUNCT
ijassa-781	146	11	=	=	SYM
ijassa-781	146	12	codom	codom	NOUN
ijassa-781	146	13	fun(f	fun(f	PROPN
ijassa-781	146	14	)	)	PUNCT
ijassa-781	146	15	;	;	PUNCT
ijassa-781	146	16	(	(	PUNCT
ijassa-781	146	17	ii	ii	NOUN
ijassa-781	146	18	)	)	PUNCT
ijassa-781	146	19	fun(g	fun(g	PROPN
ijassa-781	146	20	◦	◦	NOUN
ijassa-781	146	21	f	f	X
ijassa-781	146	22	)	)	PUNCT
ijassa-781	147	1	=	=	PUNCT
ijassa-781	147	2	fun(g	fun(g	X
ijassa-781	147	3	)	)	PUNCT
ijassa-781	147	4	◦	◦	NOUN
ijassa-781	147	5	fun(f	fun(f	NUM
ijassa-781	147	6	)	)	PUNCT
ijassa-781	147	7	whenever	whenever	SCONJ
ijassa-781	147	8	the	the	DET
ijassa-781	147	9	composition	composition	NOUN
ijassa-781	147	10	g	g	PROPN
ijassa-781	147	11	◦	◦	NOUN
ijassa-781	147	12	f	f	PROPN
ijassa-781	147	13	is	be	AUX
ijassa-781	147	14	defined	define	VERB
ijassa-781	147	15	;	;	PUNCT
ijassa-781	147	16	(	(	PUNCT
ijassa-781	147	17	iii	iii	NOUN
ijassa-781	147	18	)	)	PUNCT
ijassa-781	147	19	fun(1a	fun(1a	NOUN
ijassa-781	147	20	)	)	PUNCT
ijassa-781	147	21	=	=	PUNCT
ijassa-781	147	22	1fun(a	1fun(a	NUM
ijassa-781	147	23	)	)	PUNCT
ijassa-781	147	24	.	.	PUNCT
ijassa-781	148	1	obviously	obviously	ADV
ijassa-781	148	2	,	,	PUNCT
ijassa-781	148	3	all	all	DET
ijassa-781	148	4	categories	category	NOUN
ijassa-781	148	5	and	and	CCONJ
ijassa-781	148	6	all	all	DET
ijassa-781	148	7	functors	functor	NOUN
ijassa-781	148	8	comprise	comprise	VERB
ijassa-781	148	9	a	a	DET
ijassa-781	148	10	(	(	PUNCT
ijassa-781	148	11	formal	formal	ADJ
ijassa-781	148	12	)	)	PUNCT
ijassa-781	148	13	category	category	NOUN
ijassa-781	148	14	denoted	denote	VERB
ijassa-781	148	15	by	by	ADP
ijassa-781	148	16	cat	cat	NOUN
ijassa-781	148	17	.	.	PUNCT
ijassa-781	149	1	to	to	PART
ijassa-781	149	2	explore	explore	VERB
ijassa-781	149	3	relationships	relationship	NOUN
ijassa-781	149	4	between	between	ADP
ijassa-781	149	5	functors	functor	NOUN
ijassa-781	149	6	,	,	PUNCT
ijassa-781	149	7	the	the	DET
ijassa-781	149	8	following	follow	VERB
ijassa-781	149	9	construction	construction	NOUN
ijassa-781	149	10	is	be	AUX
ijassa-781	149	11	introduced	introduce	VERB
ijassa-781	149	12	:	:	PUNCT
ijassa-781	149	13	the	the	DET
ijassa-781	149	14	natural	natural	ADJ
ijassa-781	149	15	transformation	transformation	NOUN
ijassa-781	149	16			PROPN
ijassa-781	149	17	of	of	ADP
ijassa-781	149	18	a	a	DET
ijassa-781	149	19	functor	functor	PROPN
ijassa-781	149	20	fun	fun	NOUN
ijassa-781	149	21	:	:	PUNCT
ijassa-781	149	22	c	c	X
ijassa-781	149	23			PUNCT
ijassa-781	150	1	d	d	X
ijassa-781	150	2	to	to	ADP
ijassa-781	150	3	a	a	DET
ijassa-781	150	4	functor	functor	PROPN
ijassa-781	150	5	fun	fun	NOUN
ijassa-781	150	6	'	'	PUNCT
ijassa-781	150	7	:	:	PUNCT
ijassa-781	150	8	c	c	X
ijassa-781	150	9			NOUN
ijassa-781	151	1	d	d	X
ijassa-781	151	2	is	be	AUX
ijassa-781	151	3	a	a	DET
ijassa-781	151	4	function	function	NOUN
ijassa-781	151	5	that	that	PRON
ijassa-781	151	6	assigns	assign	VERB
ijassa-781	151	7	to	to	ADP
ijassa-781	151	8	each	each	DET
ijassa-781	151	9	c	c	NOUN
ijassa-781	151	10	-	-	PUNCT
ijassa-781	151	11	object	object	VERB
ijassa-781	151	12	a	a	DET
ijassa-781	151	13	a	a	DET
ijassa-781	151	14	d	d	NOUN
ijassa-781	151	15	-	-	NOUN
ijassa-781	151	16	morphism	morphism	ADJ
ijassa-781	151	17	a	a	PROPN
ijassa-781	151	18	:	:	PUNCT
ijassa-781	151	19	fun(a	fun(a	PROPN
ijassa-781	151	20	)	)	PUNCT
ijassa-781	151	21			PROPN
ijassa-781	151	22	fun'(a	fun'(a	PROPN
ijassa-781	151	23	)	)	PUNCT
ijassa-781	151	24	in	in	ADP
ijassa-781	151	25	such	such	DET
ijassa-781	151	26	a	a	DET
ijassa-781	151	27	way	way	NOUN
ijassa-781	151	28	that	that	PRON
ijassa-781	151	29	b	b	ADV
ijassa-781	151	30	◦	◦	NOUN
ijassa-781	151	31	fun(f	fun(f	NOUN
ijassa-781	151	32	)	)	PUNCT
ijassa-781	151	33	=	=	SYM
ijassa-781	151	34	fun'(f	fun'(f	NOUN
ijassa-781	151	35	)	)	PUNCT
ijassa-781	151	36	◦	◦	NOUN
ijassa-781	151	37	a	a	NOUN
ijassa-781	151	38	for	for	ADP
ijassa-781	151	39	any	any	DET
ijassa-781	151	40	c	c	NOUN
ijassa-781	151	41	-	-	PUNCT
ijassa-781	151	42	morphism	morphism	ADJ
ijassa-781	151	43	f	f	PROPN
ijassa-781	151	44	:	:	PUNCT
ijassa-781	151	45	a	a	DET
ijassa-781	151	46			X
ijassa-781	151	47	b.	b.	NOUN
ijassa-781	151	48	categories	category	NOUN
ijassa-781	151	49	are	be	AUX
ijassa-781	151	50	routinely	routinely	ADV
ijassa-781	151	51	constructed	construct	VERB
ijassa-781	151	52	from	from	ADP
ijassa-781	151	53	graphs	graph	NOUN
ijassa-781	151	54	:	:	PUNCT
ijassa-781	151	55	any	any	DET
ijassa-781	151	56	directed	direct	VERB
ijassa-781	151	57	multigraph	multigraph	NOUN
ijassa-781	151	58	induces	induce	VERB
ijassa-781	151	59	a	a	DET
ijassa-781	151	60	category	category	NOUN
ijassa-781	151	61	with	with	ADP
ijassa-781	151	62	vertices	vertex	NOUN
ijassa-781	151	63	as	as	ADP
ijassa-781	151	64	objects	object	NOUN
ijassa-781	151	65	and	and	CCONJ
ijassa-781	151	66	finite	finite	ADJ
ijassa-781	151	67	paths	path	NOUN
ijassa-781	151	68	as	as	ADP
ijassa-781	151	69	morphisms	morphism	NOUN
ijassa-781	151	70	.	.	PUNCT
ijassa-781	152	1	indeed	indeed	ADV
ijassa-781	152	2	,	,	PUNCT
ijassa-781	152	3	the	the	DET
ijassa-781	152	4	domain	domain	NOUN
ijassa-781	152	5	and	and	CCONJ
ijassa-781	152	6	the	the	DET
ijassa-781	152	7	codomain	codomain	NOUN
ijassa-781	152	8	of	of	ADP
ijassa-781	152	9	a	a	DET
ijassa-781	152	10	path	path	NOUN
ijassa-781	152	11	are	be	AUX
ijassa-781	152	12	its	its	PRON
ijassa-781	152	13	source	source	NOUN
ijassa-781	152	14	and	and	CCONJ
ijassa-781	152	15	target	target	NOUN
ijassa-781	152	16	,	,	PUNCT
ijassa-781	152	17	respectively	respectively	ADV
ijassa-781	152	18	;	;	PUNCT
ijassa-781	152	19	composition	composition	NOUN
ijassa-781	152	20	of	of	ADP
ijassa-781	152	21	morphisms	morphism	NOUN
ijassa-781	152	22	acts	act	NOUN
ijassa-781	152	23	as	as	ADP
ijassa-781	152	24	concatenation	concatenation	NOUN
ijassa-781	152	25	of	of	ADP
ijassa-781	152	26	paths	path	NOUN
ijassa-781	152	27	;	;	PUNCT
ijassa-781	152	28	the	the	DET
ijassa-781	152	29	identity	identity	NOUN
ijassa-781	152	30	morphism	morphism	NOUN
ijassa-781	152	31	of	of	ADP
ijassa-781	152	32	a	a	DET
ijassa-781	152	33	vertex	vertex	NOUN
ijassa-781	152	34	is	be	AUX
ijassa-781	152	35	an	an	DET
ijassa-781	152	36	empty	empty	ADJ
ijassa-781	152	37	“	"	PUNCT
ijassa-781	152	38	path	path	NOUN
ijassa-781	152	39	”	"	PUNCT
ijassa-781	152	40	from	from	ADP
ijassa-781	152	41	the	the	DET
ijassa-781	152	42	vertex	vertex	NOUN
ijassa-781	152	43	to	to	ADP
ijassa-781	152	44	itself	itself	PRON
ijassa-781	152	45	.	.	PUNCT
ijassa-781	153	1	this	this	DET
ijassa-781	153	2	construction	construction	NOUN
ijassa-781	153	3	leads	lead	VERB
ijassa-781	153	4	to	to	ADP
ijassa-781	153	5	the	the	DET
ijassa-781	153	6	fundamental	fundamental	ADJ
ijassa-781	153	7	notion	notion	NOUN
ijassa-781	153	8	of	of	ADP
ijassa-781	153	9	a	a	DET
ijassa-781	153	10	diagram	diagram	NOUN
ijassa-781	153	11	in	in	ADP
ijassa-781	153	12	c	c	PROPN
ijassa-781	153	13	,	,	PUNCT
ijassa-781	153	14	viz	viz	PROPN
ijassa-781	153	15	.	.	PUNCT
ijassa-781	154	1	a	a	DET
ijassa-781	154	2	functor	functor	NOUN
ijassa-781	154	3	of	of	ADP
ijassa-781	154	4	the	the	DET
ijassa-781	154	5	kind	kind	NOUN
ijassa-781	154	6			NOUN
ijassa-781	154	7	:	:	PUNCT
ijassa-781	154	8	x	x	X
ijassa-781	154	9			NOUN
ijassa-781	155	1	c	c	X
ijassa-781	155	2	where	where	SCONJ
ijassa-781	155	3	x	x	PRON
ijassa-781	155	4	is	be	AUX
ijassa-781	155	5	a	a	DET
ijassa-781	155	6	category	category	NOUN
ijassa-781	155	7	generated	generate	VERB
ijassa-781	155	8	by	by	ADP
ijassa-781	155	9	some	some	DET
ijassa-781	155	10	graph	graph	NOUN
ijassa-781	155	11	called	call	VERB
ijassa-781	155	12	the	the	DET
ijassa-781	155	13	shape	shape	NOUN
ijassa-781	155	14	of	of	ADP
ijassa-781	155	15	the	the	DET
ijassa-781	155	16	diagram	diagram	NOUN
ijassa-781	155	17	.	.	PUNCT
ijassa-781	156	1	a	a	DET
ijassa-781	156	2	diagram	diagram	NOUN
ijassa-781	156	3	is	be	AUX
ijassa-781	156	4	visually	visually	ADV
ijassa-781	156	5	depicted	depict	VERB
ijassa-781	156	6	as	as	ADP
ijassa-781	156	7	a	a	DET
ijassa-781	156	8	graph	graph	NOUN
ijassa-781	156	9	that	that	PRON
ijassa-781	156	10	generates	generate	VERB
ijassa-781	156	11	x	x	X
ijassa-781	156	12	,	,	PUNCT
ijassa-781	156	13	endowed	endow	VERB
ijassa-781	156	14	with	with	ADP
ijassa-781	156	15	labels	label	NOUN
ijassa-781	156	16	from	from	ADP
ijassa-781	156	17	c	c	NOUN
ijassa-781	156	18	:	:	PUNCT
ijassa-781	156	19	each	each	DET
ijassa-781	156	20	vertex	vertex	NOUN
ijassa-781	156	21	a	a	PRON
ijassa-781	156	22	is	be	AUX
ijassa-781	156	23	labeled	label	VERB
ijassa-781	156	24	by	by	ADP
ijassa-781	156	25	the	the	DET
ijassa-781	156	26	c	c	NOUN
ijassa-781	156	27	-	-	PUNCT
ijassa-781	156	28	object	object	NOUN
ijassa-781	156	29	(a	(a	NOUN
ijassa-781	156	30	)	)	PUNCT
ijassa-781	156	31	and	and	CCONJ
ijassa-781	156	32	each	each	DET
ijassa-781	156	33	edge	edge	NOUN
ijassa-781	156	34	k	k	PROPN
ijassa-781	156	35	is	be	AUX
ijassa-781	156	36	labeled	label	VERB
ijassa-781	156	37	by	by	ADP
ijassa-781	156	38	the	the	DET
ijassa-781	156	39	c	c	NOUN
ijassa-781	156	40	-	-	PUNCT
ijassa-781	156	41	morphism	morphism	NOUN
ijassa-781	156	42	(k	(k	NOUN
ijassa-781	156	43	)	)	PUNCT
ijassa-781	156	44	.	.	PUNCT
ijassa-781	157	1	all	all	DET
ijassa-781	157	2	diagrams	diagram	NOUN
ijassa-781	157	3	in	in	ADP
ijassa-781	157	4	c	c	PROPN
ijassa-781	157	5	comprise	comprise	VERB
ijassa-781	157	6	a	a	DET
ijassa-781	157	7	category	category	NOUN
ijassa-781	157	8	denoted	denote	VERB
ijassa-781	157	9	by	by	ADP
ijassa-781	157	10	dc	dc	PROPN
ijassa-781	157	11	(	(	PUNCT
ijassa-781	157	12	a	a	DET
ijassa-781	157	13	covariant	covariant	ADJ
ijassa-781	157	14	modification	modification	NOUN
ijassa-781	157	15	of	of	ADP
ijassa-781	157	16	a	a	DET
ijassa-781	157	17	“	"	PUNCT
ijassa-781	157	18	super	super	ADJ
ijassa-781	157	19	-	-	ADJ
ijassa-781	157	20	comma	comma	ADJ
ijassa-781	157	21	”	"	PUNCT
ijassa-781	157	22	category	category	NOUN
ijassa-781	157	23	introduced	introduce	VERB
ijassa-781	157	24	in	in	ADP
ijassa-781	157	25	[	[	X
ijassa-781	157	26	18	18	NUM
ijassa-781	157	27	,	,	PUNCT
ijassa-781	157	28	exercise	exercise	NOUN
ijassa-781	157	29	v.2.5	v.2.5	NOUN
ijassa-781	157	30	]	]	PUNCT
ijassa-781	157	31	)	)	PUNCT
ijassa-781	157	32	,	,	PUNCT
ijassa-781	157	33	in	in	ADP
ijassa-781	157	34	which	which	PRON
ijassa-781	157	35	a	a	DET
ijassa-781	157	36	morphism	morphism	NOUN
ijassa-781	157	37	from	from	ADP
ijassa-781	157	38	a	a	DET
ijassa-781	157	39	diagram	diagram	NOUN
ijassa-781	157	40			NOUN
ijassa-781	157	41	:	:	PUNCT
ijassa-781	157	42	x	x	X
ijassa-781	157	43			NOUN
ijassa-781	157	44	c	c	VERB
ijassa-781	157	45	to	to	PART
ijassa-781	157	46			VERB
ijassa-781	157	47	:	:	PUNCT
ijassa-781	157	48	y	y	NOUN
ijassa-781	157	49			PROPN
ijassa-781	157	50	c	c	NOUN
ijassa-781	157	51	is	be	AUX
ijassa-781	157	52	a	a	DET
ijassa-781	157	53	pair	pair	NOUN
ijassa-781	157	54			NUM
ijassa-781	157	55	,	,	PUNCT
ijassa-781	157	56	fd	fd	PROPN
ijassa-781	157	57	consisting	consist	VERB
ijassa-781	157	58	of	of	ADP
ijassa-781	157	59	a	a	DET
ijassa-781	157	60	functor	functor	PROPN
ijassa-781	157	61	fd	fd	PROPN
ijassa-781	157	62	:	:	PUNCT
ijassa-781	157	63	x	x	X
ijassa-781	157	64			X
ijassa-781	157	65	y	y	NOUN
ijassa-781	157	66	and	and	CCONJ
ijassa-781	157	67	a	a	DET
ijassa-781	157	68	natural	natural	ADJ
ijassa-781	157	69	transformation	transformation	NOUN
ijassa-781	157	70			NUM
ijassa-781	157	71	:	:	PUNCT
ijassa-781	158	1			X
ijassa-781	158	2			NOUN
ijassa-781	158	3			VERB
ijassa-781	158	4	◦	◦	NOUN
ijassa-781	158	5	fd	fd	ADJ
ijassa-781	158	6	;	;	PUNCT
ijassa-781	158	7	the	the	DET
ijassa-781	158	8	composition	composition	NOUN
ijassa-781	158	9	law	law	NOUN
ijassa-781	158	10	for	for	ADP
ijassa-781	158	11	morphisms	morphism	NOUN
ijassa-781	158	12	is	be	AUX
ijassa-781	158	13	56	56	NUM
ijassa-781	158	14	s.p	s.p	PROPN
ijassa-781	158	15	.	.	PROPN
ijassa-781	158	16	kovalyov	kovalyov	PROPN
ijassa-781	158	17	copyright	copyright	NOUN
ijassa-781	159	1	©	©	PROPN
ijassa-781	159	2	2020	2020	NUM
ijassa-781	159	3	assa	assa	PROPN
ijassa-781	159	4	adv	adv	PROPN
ijassa-781	159	5	.	.	PUNCT
ijassa-781	160	1	in	in	ADP
ijassa-781	160	2	systems	system	NOUN
ijassa-781	160	3	science	science	NOUN
ijassa-781	160	4	and	and	CCONJ
ijassa-781	160	5	appl	appl	NOUN
ijassa-781	160	6	.	.	PUNCT
ijassa-781	161	1	(	(	PUNCT
ijassa-781	161	2	2020	2020	NUM
ijassa-781	161	3	)	)	PUNCT
ijassa-781	161	4	specified	specify	VERB
ijassa-781	161	5	as	as	SCONJ
ijassa-781	161	6	follows	follow	VERB
ijassa-781	161	7	:	:	PUNCT
ijassa-781	161	8			NUM
ijassa-781	161	9	,	,	PUNCT
ijassa-781	161	10	fd	fd	PRON
ijassa-781	161	11	◦	◦	VERB
ijassa-781	161	12			NOUN
ijassa-781	161	13	,	,	PUNCT
ijassa-781	161	14	gd	gd	NOUN
ijassa-781	161	15	=	=	SYM
ijassa-781	161	16	gd	gd	PROPN
ijassa-781	161	17	(	(	PUNCT
ijassa-781	161	18	–	–	PUNCT
ijassa-781	161	19	)	)	PUNCT
ijassa-781	161	20	◦	◦	NOUN
ijassa-781	162	1			PROPN
ijassa-781	162	2	,	,	PUNCT
ijassa-781	162	3	fd	fd	ADP
ijassa-781	162	4	◦	◦	NOUN
ijassa-781	162	5	gd.	gd.	ADJ
ijassa-781	162	6	category	category	NOUN
ijassa-781	162	7	theory	theory	NOUN
ijassa-781	162	8	provides	provide	VERB
ijassa-781	162	9	a	a	DET
ijassa-781	162	10	number	number	NOUN
ijassa-781	162	11	of	of	ADP
ijassa-781	162	12	algebraic	algebraic	ADJ
ijassa-781	162	13	techniques	technique	NOUN
ijassa-781	162	14	for	for	ADP
ijassa-781	162	15	construction	construction	NOUN
ijassa-781	162	16	and	and	CCONJ
ijassa-781	162	17	analysis	analysis	NOUN
ijassa-781	162	18	of	of	ADP
ijassa-781	162	19	diagrams	diagram	NOUN
ijassa-781	162	20	.	.	PUNCT
ijassa-781	163	1	the	the	DET
ijassa-781	163	2	effectiveness	effectiveness	NOUN
ijassa-781	163	3	of	of	ADP
ijassa-781	163	4	employing	employ	VERB
ijassa-781	163	5	category	category	NOUN
ijassa-781	163	6	theory	theory	NOUN
ijassa-781	163	7	as	as	ADP
ijassa-781	163	8	a	a	DET
ijassa-781	163	9	mathematical	mathematical	ADJ
ijassa-781	163	10	framework	framework	NOUN
ijassa-781	163	11	for	for	ADP
ijassa-781	163	12	modelbased	modelbase	VERB
ijassa-781	163	13	enterprise	enterprise	NOUN
ijassa-781	163	14	stems	stem	VERB
ijassa-781	163	15	from	from	ADP
ijassa-781	163	16	the	the	DET
ijassa-781	163	17	observation	observation	NOUN
ijassa-781	163	18	that	that	SCONJ
ijassa-781	163	19	a	a	DET
ijassa-781	163	20	catalog	catalog	NOUN
ijassa-781	163	21	of	of	ADP
ijassa-781	163	22	models	model	NOUN
ijassa-781	163	23	and	and	CCONJ
ijassa-781	163	24	actions	action	NOUN
ijassa-781	163	25	introduced	introduce	VERB
ijassa-781	163	26	in	in	ADP
ijassa-781	163	27	section	section	NOUN
ijassa-781	163	28	2	2	NUM
ijassa-781	163	29	is	be	AUX
ijassa-781	163	30	nothing	nothing	PRON
ijassa-781	163	31	but	but	SCONJ
ijassa-781	163	32	a	a	DET
ijassa-781	163	33	category	category	NOUN
ijassa-781	163	34	.	.	PUNCT
ijassa-781	164	1	indeed	indeed	ADV
ijassa-781	164	2	,	,	PUNCT
ijassa-781	164	3	the	the	DET
ijassa-781	164	4	catalog	catalog	NOUN
ijassa-781	164	5	has	have	VERB
ijassa-781	164	6	composite	composite	ADJ
ijassa-781	164	7	morphisms	morphism	NOUN
ijassa-781	164	8	(	(	PUNCT
ijassa-781	164	9	sequential	sequential	ADJ
ijassa-781	164	10	execution	execution	NOUN
ijassa-781	164	11	of	of	ADP
ijassa-781	164	12	actions	action	NOUN
ijassa-781	164	13	)	)	PUNCT
ijassa-781	164	14	and	and	CCONJ
ijassa-781	164	15	identity	identity	NOUN
ijassa-781	164	16	morphisms	morphism	NOUN
ijassa-781	164	17	(	(	PUNCT
ijassa-781	164	18	idle	idle	ADJ
ijassa-781	164	19	“	"	PUNCT
ijassa-781	164	20	doing	do	VERB
ijassa-781	164	21	nothing	nothing	PRON
ijassa-781	164	22	”	"	PUNCT
ijassa-781	164	23	action	action	NOUN
ijassa-781	164	24	with	with	ADP
ijassa-781	164	25	any	any	DET
ijassa-781	164	26	model	model	NOUN
ijassa-781	164	27	)	)	PUNCT
ijassa-781	164	28	.	.	PUNCT
ijassa-781	165	1	for	for	ADP
ijassa-781	165	2	example	example	NOUN
ijassa-781	165	3	,	,	PUNCT
ijassa-781	165	4	in	in	ADP
ijassa-781	165	5	solid	solid	ADJ
ijassa-781	165	6	body	body	NOUN
ijassa-781	165	7	modeling	modeling	NOUN
ijassa-781	165	8	of	of	ADP
ijassa-781	165	9	mechanical	mechanical	ADJ
ijassa-781	165	10	products	product	NOUN
ijassa-781	165	11	,	,	PUNCT
ijassa-781	165	12	a	a	DET
ijassa-781	165	13	model	model	NOUN
ijassa-781	165	14	is	be	AUX
ijassa-781	165	15	algebraically	algebraically	ADV
ijassa-781	165	16	represented	represent	VERB
ijassa-781	165	17	as	as	ADP
ijassa-781	165	18	a	a	DET
ijassa-781	165	19	subset	subset	NOUN
ijassa-781	165	20	of	of	ADP
ijassa-781	165	21	ℝ3	ℝ3	PROPN
ijassa-781	165	22	which	which	PRON
ijassa-781	165	23	is	be	AUX
ijassa-781	165	24	bounded	bound	VERB
ijassa-781	165	25	,	,	PUNCT
ijassa-781	165	26	regular	regular	ADJ
ijassa-781	165	27	(	(	PUNCT
ijassa-781	165	28	i.e.	i.e.	X
ijassa-781	165	29	,	,	PUNCT
ijassa-781	165	30	it	it	PRON
ijassa-781	165	31	coincides	coincide	VERB
ijassa-781	165	32	with	with	ADP
ijassa-781	165	33	the	the	DET
ijassa-781	165	34	closure	closure	NOUN
ijassa-781	165	35	of	of	ADP
ijassa-781	165	36	its	its	PRON
ijassa-781	165	37	interior	interior	NOUN
ijassa-781	165	38	wrt	wrt	VERB
ijassa-781	165	39	the	the	DET
ijassa-781	165	40	standard	standard	ADJ
ijassa-781	165	41	topology	topology	NOUN
ijassa-781	165	42	)	)	PUNCT
ijassa-781	165	43	,	,	PUNCT
ijassa-781	165	44	and	and	CCONJ
ijassa-781	165	45	semi	semi	ADJ
ijassa-781	165	46	-	-	ADJ
ijassa-781	165	47	analytical	analytical	ADJ
ijassa-781	165	48	(	(	PUNCT
ijassa-781	165	49	i.e.	i.e.	X
ijassa-781	165	50	,	,	PUNCT
ijassa-781	165	51	it	it	PRON
ijassa-781	165	52	admits	admit	VERB
ijassa-781	165	53	a	a	DET
ijassa-781	165	54	representation	representation	NOUN
ijassa-781	165	55	as	as	ADP
ijassa-781	165	56	a	a	DET
ijassa-781	165	57	finite	finite	ADJ
ijassa-781	165	58	boolean	boolean	ADJ
ijassa-781	165	59	combination	combination	NOUN
ijassa-781	165	60	of	of	ADP
ijassa-781	165	61	sets	set	NOUN
ijassa-781	165	62	of	of	ADP
ijassa-781	165	63	the	the	DET
ijassa-781	165	64	kind	kind	NOUN
ijassa-781	165	65	{	{	PUNCT
ijassa-781	165	66	(	(	PUNCT
ijassa-781	165	67	x	x	NOUN
ijassa-781	165	68	,	,	PUNCT
ijassa-781	165	69	y	y	PROPN
ijassa-781	165	70	,	,	PUNCT
ijassa-781	165	71	z	z	NOUN
ijassa-781	165	72	)	)	PUNCT
ijassa-781	165	73	|	|	ADV
ijassa-781	165	74	f1(x	f1(x	PROPN
ijassa-781	165	75	,	,	PUNCT
ijassa-781	165	76	y	y	PROPN
ijassa-781	165	77	,	,	PUNCT
ijassa-781	165	78	z	z	NOUN
ijassa-781	165	79	)	)	PUNCT
ijassa-781	165	80			NOUN
ijassa-781	165	81	0	0	NUM
ijassa-781	165	82	,	,	PUNCT
ijassa-781	165	83	f2(x	f2(x	PROPN
ijassa-781	165	84	,	,	PUNCT
ijassa-781	165	85	y	y	PROPN
ijassa-781	165	86	,	,	PUNCT
ijassa-781	165	87	z	z	NOUN
ijassa-781	165	88	)	)	PUNCT
ijassa-781	165	89			NOUN
ijassa-781	165	90	0	0	NUM
ijassa-781	165	91	,	,	PUNCT
ijassa-781	165	92	…	…	PUNCT
ijassa-781	165	93	}	}	PUNCT
ijassa-781	165	94	where	where	SCONJ
ijassa-781	165	95	fi	fi	NOUN
ijassa-781	165	96	:	:	PUNCT
ijassa-781	165	97	ℝ	ℝ	PROPN
ijassa-781	165	98	3	3	NUM
ijassa-781	165	99			NOUN
ijassa-781	166	1	ℝ	ℝ	NOUN
ijassa-781	166	2	is	be	AUX
ijassa-781	166	3	a	a	DET
ijassa-781	166	4	real	real	ADJ
ijassa-781	166	5	analytic	analytic	ADJ
ijassa-781	166	6	function	function	NOUN
ijassa-781	166	7	for	for	ADP
ijassa-781	166	8	any	any	DET
ijassa-781	166	9	index	index	NOUN
ijassa-781	166	10	i	i	NOUN
ijassa-781	166	11	)	)	PUNCT
ijassa-781	167	1	[	[	X
ijassa-781	167	2	14	14	NUM
ijassa-781	167	3	]	]	PUNCT
ijassa-781	167	4	.	.	PUNCT
ijassa-781	168	1	in	in	ADP
ijassa-781	168	2	order	order	NOUN
ijassa-781	168	3	to	to	PART
ijassa-781	168	4	support	support	VERB
ijassa-781	168	5	specifications	specification	NOUN
ijassa-781	168	6	of	of	ADP
ijassa-781	168	7	assembly	assembly	NOUN
ijassa-781	168	8	procedures	procedure	NOUN
ijassa-781	168	9	such	such	ADJ
ijassa-781	168	10	as	as	ADP
ijassa-781	168	11	gluing	glue	VERB
ijassa-781	168	12	bodies	body	NOUN
ijassa-781	168	13	together	together	ADV
ijassa-781	168	14	by	by	ADP
ijassa-781	168	15	surface	surface	NOUN
ijassa-781	168	16	fragments	fragment	NOUN
ijassa-781	168	17	,	,	PUNCT
ijassa-781	168	18	all	all	PRON
ijassa-781	168	19	bounded	bound	VERB
ijassa-781	168	20	regular	regular	ADJ
ijassa-781	168	21	semi	semi	ADJ
ijassa-781	168	22	-	-	ADJ
ijassa-781	168	23	analytical	analytical	ADJ
ijassa-781	168	24	subsets	subset	NOUN
ijassa-781	168	25	of	of	ADP
ijassa-781	168	26	ℝn	ℝn	PROPN
ijassa-781	168	27	,	,	PUNCT
ijassa-781	168	28	0	0	NUM
ijassa-781	168	29			NOUN
ijassa-781	168	30	n	n	PRON
ijassa-781	168	31			NOUN
ijassa-781	168	32	3	3	NUM
ijassa-781	168	33	,	,	PUNCT
ijassa-781	168	34	are	be	AUX
ijassa-781	168	35	considered	consider	VERB
ijassa-781	168	36	as	as	ADP
ijassa-781	168	37	valid	valid	ADJ
ijassa-781	168	38	solid	solid	ADJ
ijassa-781	168	39	body	body	NOUN
ijassa-781	168	40	models	model	NOUN
ijassa-781	168	41	.	.	PUNCT
ijassa-781	169	1	then	then	ADV
ijassa-781	169	2	,	,	PUNCT
ijassa-781	169	3	the	the	DET
ijassa-781	169	4	quotient	quotient	NOUN
ijassa-781	169	5	is	be	AUX
ijassa-781	169	6	formed	form	VERB
ijassa-781	169	7	:	:	PUNCT
ijassa-781	169	8	any	any	DET
ijassa-781	169	9	two	two	NUM
ijassa-781	169	10	such	such	ADJ
ijassa-781	169	11	sets	set	NOUN
ijassa-781	169	12	that	that	PRON
ijassa-781	169	13	can	can	AUX
ijassa-781	169	14	be	be	AUX
ijassa-781	169	15	turned	turn	VERB
ijassa-781	169	16	into	into	ADP
ijassa-781	169	17	one	one	NUM
ijassa-781	169	18	another	another	DET
ijassa-781	169	19	by	by	ADP
ijassa-781	169	20	a	a	DET
ijassa-781	169	21	composition	composition	NOUN
ijassa-781	169	22	of	of	ADP
ijassa-781	169	23	affine	affine	NOUN
ijassa-781	169	24	isometries	isometry	NOUN
ijassa-781	169	25	and	and	CCONJ
ijassa-781	169	26	stretches	stretch	NOUN
ijassa-781	169	27	are	be	AUX
ijassa-781	169	28	identified	identify	VERB
ijassa-781	169	29	with	with	ADP
ijassa-781	169	30	one	one	NUM
ijassa-781	169	31	another	another	DET
ijassa-781	169	32	.	.	PUNCT
ijassa-781	170	1	morphisms	morphism	NOUN
ijassa-781	170	2	of	of	ADP
ijassa-781	170	3	such	such	ADJ
ijassa-781	170	4	equivalence	equivalence	NOUN
ijassa-781	170	5	classes	class	NOUN
ijassa-781	170	6	,	,	PUNCT
ijassa-781	170	7	which	which	PRON
ijassa-781	170	8	describe	describe	VERB
ijassa-781	170	9	assembly	assembly	NOUN
ijassa-781	170	10	actions	action	NOUN
ijassa-781	170	11	of	of	ADP
ijassa-781	170	12	complex	complex	ADJ
ijassa-781	170	13	mechanical	mechanical	ADJ
ijassa-781	170	14	products	product	NOUN
ijassa-781	170	15	,	,	PUNCT
ijassa-781	170	16	are	be	AUX
ijassa-781	170	17	generated	generate	VERB
ijassa-781	170	18	by	by	ADP
ijassa-781	170	19	isometric	isometric	ADJ
ijassa-781	170	20	embeddings	embedding	NOUN
ijassa-781	170	21	and	and	CCONJ
ijassa-781	170	22	stretches	stretch	NOUN
ijassa-781	170	23	.	.	PUNCT
ijassa-781	171	1	this	this	DET
ijassa-781	171	2	way	way	NOUN
ijassa-781	171	3	,	,	PUNCT
ijassa-781	171	4	the	the	DET
ijassa-781	171	5	subcategory	subcategory	NOUN
ijassa-781	171	6	of	of	ADP
ijassa-781	171	7	set	set	NOUN
ijassa-781	171	8	emerges	emerge	NOUN
ijassa-781	171	9	,	,	PUNCT
ijassa-781	171	10	which	which	PRON
ijassa-781	171	11	we	we	PRON
ijassa-781	171	12	will	will	AUX
ijassa-781	171	13	denote	denote	VERB
ijassa-781	171	14	by	by	ADP
ijassa-781	171	15	sbm	sbm	PROPN
ijassa-781	171	16	(	(	PUNCT
ijassa-781	171	17	from	from	ADP
ijassa-781	171	18	solid	solid	ADJ
ijassa-781	171	19	body	body	NOUN
ijassa-781	171	20	modeling	modeling	NOUN
ijassa-781	171	21	)	)	PUNCT
ijassa-781	171	22	.	.	PUNCT
ijassa-781	172	1	for	for	ADP
ijassa-781	172	2	many	many	ADJ
ijassa-781	172	3	well	well	ADV
ijassa-781	172	4	-	-	PUNCT
ijassa-781	172	5	known	know	VERB
ijassa-781	172	6	mbse	mbse	NOUN
ijassa-781	172	7	techniques	technique	NOUN
ijassa-781	172	8	,	,	PUNCT
ijassa-781	172	9	formal	formal	ADJ
ijassa-781	172	10	description	description	NOUN
ijassa-781	172	11	of	of	ADP
ijassa-781	172	12	the	the	DET
ijassa-781	172	13	model	model	NOUN
ijassa-781	172	14	catalog	catalog	NOUN
ijassa-781	172	15	produces	produce	VERB
ijassa-781	172	16	a	a	DET
ijassa-781	172	17	category	category	NOUN
ijassa-781	172	18	of	of	ADP
ijassa-781	172	19	sets	set	NOUN
ijassa-781	172	20	endowed	endow	VERB
ijassa-781	172	21	with	with	ADP
ijassa-781	172	22	some	some	DET
ijassa-781	172	23	structure	structure	NOUN
ijassa-781	172	24	,	,	PUNCT
ijassa-781	172	25	e.g.	e.g.	ADV
ijassa-781	172	26	,	,	PUNCT
ijassa-781	172	27	algebraic	algebraic	ADJ
ijassa-781	172	28	systems	system	NOUN
ijassa-781	172	29	,	,	PUNCT
ijassa-781	172	30	topological	topological	ADJ
ijassa-781	172	31	spaces	space	NOUN
ijassa-781	172	32	,	,	PUNCT
ijassa-781	172	33	graphs	graph	NOUN
ijassa-781	172	34	,	,	PUNCT
ijassa-781	172	35	etc	etc	X
ijassa-781	172	36	.	.	X
ijassa-781	172	37	morphisms	morphism	VERB
ijassa-781	172	38	in	in	ADP
ijassa-781	172	39	such	such	ADJ
ijassa-781	172	40	categories	category	NOUN
ijassa-781	172	41	are	be	AUX
ijassa-781	172	42	maps	map	NOUN
ijassa-781	172	43	of	of	ADP
ijassa-781	172	44	sets	set	NOUN
ijassa-781	172	45	compatible	compatible	ADJ
ijassa-781	172	46	with	with	ADP
ijassa-781	172	47	the	the	DET
ijassa-781	172	48	structure	structure	NOUN
ijassa-781	172	49	.	.	PUNCT
ijassa-781	173	1	a	a	DET
ijassa-781	173	2	canonical	canonical	ADJ
ijassa-781	173	3	functor	functor	NOUN
ijassa-781	173	4	to	to	PART
ijassa-781	173	5	set	set	VERB
ijassa-781	173	6	acts	act	NOUN
ijassa-781	173	7	on	on	ADP
ijassa-781	173	8	such	such	DET
ijassa-781	173	9	a	a	DET
ijassa-781	173	10	category	category	NOUN
ijassa-781	173	11	by	by	ADP
ijassa-781	173	12	“	"	PUNCT
ijassa-781	173	13	forgetting	forget	VERB
ijassa-781	173	14	”	"	PUNCT
ijassa-781	173	15	the	the	DET
ijassa-781	173	16	structure	structure	NOUN
ijassa-781	173	17	.	.	PUNCT
ijassa-781	174	1	an	an	DET
ijassa-781	174	2	example	example	NOUN
ijassa-781	174	3	is	be	AUX
ijassa-781	174	4	the	the	DET
ijassa-781	174	5	following	follow	VERB
ijassa-781	174	6	algebraic	algebraic	ADJ
ijassa-781	174	7	representation	representation	NOUN
ijassa-781	174	8	of	of	ADP
ijassa-781	174	9	discrete	discrete	ADJ
ijassa-781	174	10	-	-	PUNCT
ijassa-781	174	11	event	event	NOUN
ijassa-781	174	12	simulation	simulation	NOUN
ijassa-781	174	13	.	.	PUNCT
ijassa-781	175	1	a	a	DET
ijassa-781	175	2	scenario	scenario	NOUN
ijassa-781	175	3	is	be	AUX
ijassa-781	175	4	represented	represent	VERB
ijassa-781	175	5	by	by	ADP
ijassa-781	175	6	a	a	DET
ijassa-781	175	7	set	set	NOUN
ijassa-781	175	8	of	of	ADP
ijassa-781	175	9	events	event	NOUN
ijassa-781	175	10	partially	partially	ADV
ijassa-781	175	11	ordered	order	VERB
ijassa-781	175	12	by	by	ADP
ijassa-781	175	13	causal	causal	ADJ
ijassa-781	175	14	dependencies	dependency	NOUN
ijassa-781	175	15	and	and	CCONJ
ijassa-781	175	16	labeled	label	VERB
ijassa-781	175	17	by	by	ADP
ijassa-781	175	18	event	event	NOUN
ijassa-781	175	19	types	type	NOUN
ijassa-781	175	20	.	.	PUNCT
ijassa-781	176	1	since	since	SCONJ
ijassa-781	176	2	neither	neither	CCONJ
ijassa-781	176	3	events	event	NOUN
ijassa-781	176	4	nor	nor	CCONJ
ijassa-781	176	5	dependencies	dependency	NOUN
ijassa-781	176	6	,	,	PUNCT
ijassa-781	176	7	nor	nor	CCONJ
ijassa-781	176	8	labels	label	NOUN
ijassa-781	176	9	could	could	AUX
ijassa-781	176	10	be	be	AUX
ijassa-781	176	11	“	"	PUNCT
ijassa-781	176	12	lost	lose	VERB
ijassa-781	176	13	”	"	PUNCT
ijassa-781	176	14	when	when	SCONJ
ijassa-781	176	15	composing	compose	VERB
ijassa-781	176	16	a	a	DET
ijassa-781	176	17	complex	complex	ADJ
ijassa-781	176	18	system	system	NOUN
ijassa-781	176	19	behavior	behavior	NOUN
ijassa-781	176	20	scenario	scenario	NOUN
ijassa-781	176	21	from	from	ADP
ijassa-781	176	22	components	component	NOUN
ijassa-781	176	23	behavior	behavior	NOUN
ijassa-781	176	24	scenarios	scenario	NOUN
ijassa-781	176	25	,	,	PUNCT
ijassa-781	176	26	actions	action	NOUN
ijassa-781	176	27	involved	involve	VERB
ijassa-781	176	28	into	into	ADP
ijassa-781	176	29	assembling	assemble	VERB
ijassa-781	176	30	scenarios	scenario	NOUN
ijassa-781	176	31	are	be	AUX
ijassa-781	176	32	described	describe	VERB
ijassa-781	176	33	as	as	ADP
ijassa-781	176	34	maps	map	NOUN
ijassa-781	176	35	that	that	PRON
ijassa-781	176	36	preserve	preserve	VERB
ijassa-781	176	37	the	the	DET
ijassa-781	176	38	order	order	NOUN
ijassa-781	176	39	and	and	CCONJ
ijassa-781	176	40	the	the	DET
ijassa-781	176	41	labeling	labeling	NOUN
ijassa-781	176	42	[	[	X
ijassa-781	176	43	19	19	NUM
ijassa-781	176	44	]	]	PUNCT
ijassa-781	176	45	.	.	PUNCT
ijassa-781	177	1	all	all	DET
ijassa-781	177	2	scenarios	scenario	NOUN
ijassa-781	177	3	and	and	CCONJ
ijassa-781	177	4	all	all	DET
ijassa-781	177	5	such	such	ADJ
ijassa-781	177	6	actions	action	NOUN
ijassa-781	177	7	form	form	VERB
ijassa-781	177	8	a	a	DET
ijassa-781	177	9	category	category	NOUN
ijassa-781	177	10	called	call	VERB
ijassa-781	177	11	pomset	pomset	NOUN
ijassa-781	177	12	and	and	CCONJ
ijassa-781	177	13	equipped	equip	VERB
ijassa-781	177	14	with	with	ADP
ijassa-781	177	15	a	a	DET
ijassa-781	177	16	functor	functor	NOUN
ijassa-781	177	17	to	to	PART
ijassa-781	177	18	set	set	VERB
ijassa-781	177	19	that	that	PRON
ijassa-781	177	20	forgets	forget	VERB
ijassa-781	177	21	the	the	DET
ijassa-781	177	22	order	order	NOUN
ijassa-781	177	23	and	and	CCONJ
ijassa-781	177	24	the	the	DET
ijassa-781	177	25	labeling	labeling	NOUN
ijassa-781	177	26	.	.	PUNCT
ijassa-781	178	1	let	let	VERB
ijassa-781	178	2	c	c	PRON
ijassa-781	178	3	be	be	AUX
ijassa-781	178	4	a	a	DET
ijassa-781	178	5	category	category	NOUN
ijassa-781	178	6	that	that	PRON
ijassa-781	178	7	represents	represent	VERB
ijassa-781	178	8	some	some	DET
ijassa-781	178	9	model	model	NOUN
ijassa-781	178	10	catalog	catalog	NOUN
ijassa-781	178	11	.	.	PUNCT
ijassa-781	179	1	a	a	DET
ijassa-781	179	2	product	product	NOUN
ijassa-781	179	3	structure	structure	NOUN
ijassa-781	179	4	and	and	CCONJ
ijassa-781	179	5	related	related	ADJ
ijassa-781	179	6	graphs	graph	NOUN
ijassa-781	179	7	are	be	AUX
ijassa-781	179	8	diagrams	diagram	NOUN
ijassa-781	179	9	in	in	ADP
ijassa-781	179	10	c	c	PROPN
ijassa-781	179	11	,	,	PUNCT
ijassa-781	179	12	so	so	ADV
ijassa-781	179	13	the	the	DET
ijassa-781	179	14	category	category	NOUN
ijassa-781	179	15	dc	dc	PROPN
ijassa-781	179	16	represents	represent	VERB
ijassa-781	179	17	the	the	DET
ijassa-781	179	18	respective	respective	ADJ
ijassa-781	179	19	catalog	catalog	NOUN
ijassa-781	179	20	of	of	ADP
ijassa-781	179	21	such	such	ADJ
ijassa-781	179	22	graphs	graph	NOUN
ijassa-781	179	23	and	and	CCONJ
ijassa-781	179	24	actions	action	NOUN
ijassa-781	179	25	involved	involve	VERB
ijassa-781	179	26	into	into	ADP
ijassa-781	179	27	product	product	NOUN
ijassa-781	179	28	structure	structure	NOUN
ijassa-781	179	29	development	development	NOUN
ijassa-781	179	30	.	.	PUNCT
ijassa-781	180	1	we	we	PRON
ijassa-781	180	2	show	show	VERB
ijassa-781	180	3	how	how	SCONJ
ijassa-781	180	4	to	to	PART
ijassa-781	180	5	rigorously	rigorously	ADV
ijassa-781	180	6	solve	solve	VERB
ijassa-781	180	7	various	various	ADJ
ijassa-781	180	8	problems	problem	NOUN
ijassa-781	180	9	of	of	ADP
ijassa-781	180	10	assembling	assemble	VERB
ijassa-781	180	11	products	product	NOUN
ijassa-781	180	12	by	by	ADP
ijassa-781	180	13	means	mean	NOUN
ijassa-781	180	14	of	of	ADP
ijassa-781	180	15	the	the	DET
ijassa-781	180	16	category	category	NOUN
ijassa-781	180	17	theoretical	theoretical	ADJ
ijassa-781	180	18	framework	framework	NOUN
ijassa-781	180	19	provided	provide	VERB
ijassa-781	180	20	by	by	ADP
ijassa-781	180	21	dc	dc	PROPN
ijassa-781	180	22	.	.	PUNCT
ijassa-781	181	1	for	for	ADP
ijassa-781	181	2	instance	instance	NOUN
ijassa-781	181	3	,	,	PUNCT
ijassa-781	181	4	the	the	DET
ijassa-781	181	5	solution	solution	NOUN
ijassa-781	181	6	to	to	ADP
ijassa-781	181	7	the	the	DET
ijassa-781	181	8	direct	direct	ADJ
ijassa-781	181	9	problem	problem	NOUN
ijassa-781	181	10	is	be	AUX
ijassa-781	181	11	represented	represent	VERB
ijassa-781	181	12	by	by	ADP
ijassa-781	181	13	the	the	DET
ijassa-781	181	14	following	follow	VERB
ijassa-781	181	15	universal	universal	ADJ
ijassa-781	181	16	construction	construction	NOUN
ijassa-781	181	17	called	call	VERB
ijassa-781	181	18	the	the	DET
ijassa-781	181	19	colimit	colimit	NOUN
ijassa-781	181	20	of	of	ADP
ijassa-781	181	21	the	the	DET
ijassa-781	181	22	diagram	diagram	NOUN
ijassa-781	181	23	.	.	PUNCT
ijassa-781	182	1	denote	denote	VERB
ijassa-781	182	2	by	by	ADP
ijassa-781	182	3	1	1	NUM
ijassa-781	182	4	the	the	DET
ijassa-781	182	5	singleton	singleton	NOUN
ijassa-781	182	6	category	category	NOUN
ijassa-781	182	7	that	that	PRON
ijassa-781	182	8	consists	consist	VERB
ijassa-781	182	9	of	of	ADP
ijassa-781	182	10	one	one	NUM
ijassa-781	182	11	object	object	NOUN
ijassa-781	182	12	0	0	NUM
ijassa-781	182	13	and	and	CCONJ
ijassa-781	182	14	one	one	NUM
ijassa-781	182	15	morphism	morphism	NOUN
ijassa-781	182	16	10	10	NUM
ijassa-781	182	17	.	.	PUNCT
ijassa-781	183	1	for	for	ADP
ijassa-781	183	2	any	any	DET
ijassa-781	183	3	category	category	NOUN
ijassa-781	183	4	x	x	NOUN
ijassa-781	183	5	,	,	PUNCT
ijassa-781	183	6	there	there	PRON
ijassa-781	183	7	exists	exist	VERB
ijassa-781	183	8	a	a	DET
ijassa-781	183	9	unique	unique	ADJ
ijassa-781	183	10	functor	functor	NOUN
ijassa-781	183	11	from	from	ADP
ijassa-781	183	12	x	x	PRON
ijassa-781	183	13	to	to	ADP
ijassa-781	183	14	1	1	NUM
ijassa-781	183	15	,	,	PUNCT
ijassa-781	183	16	denoted	denote	VERB
ijassa-781	183	17	by	by	ADP
ijassa-781	183	18	!	!	PUNCT
ijassa-781	184	1	x	x	X
ijassa-781	184	2	:	:	PUNCT
ijassa-781	184	3	x	x	X
ijassa-781	184	4			NOUN
ijassa-781	184	5	1	1	NUM
ijassa-781	184	6	,	,	PUNCT
ijassa-781	184	7	which	which	PRON
ijassa-781	184	8	sends	send	VERB
ijassa-781	184	9	any	any	DET
ijassa-781	184	10	x	x	NOUN
ijassa-781	184	11	-	-	NOUN
ijassa-781	184	12	object	object	NOUN
ijassa-781	184	13	to	to	ADP
ijassa-781	184	14	0	0	NUM
ijassa-781	184	15	(	(	PUNCT
ijassa-781	184	16	in	in	ADP
ijassa-781	184	17	other	other	ADJ
ijassa-781	184	18	words	word	NOUN
ijassa-781	184	19	,	,	PUNCT
ijassa-781	184	20	1	1	NUM
ijassa-781	184	21	is	be	AUX
ijassa-781	184	22	a	a	DET
ijassa-781	184	23	terminal	terminal	ADJ
ijassa-781	184	24	cat	cat	NOUN
ijassa-781	184	25	-	-	PUNCT
ijassa-781	184	26	object	object	NOUN
ijassa-781	184	27	)	)	PUNCT
ijassa-781	184	28	.	.	PUNCT
ijassa-781	185	1	there	there	PRON
ijassa-781	185	2	is	be	VERB
ijassa-781	185	3	a	a	DET
ijassa-781	185	4	full	full	ADJ
ijassa-781	185	5	embedding	embed	VERB
ijassa-781	185	6	(	(	PUNCT
ijassa-781	185	7	i.e.	i.e.	X
ijassa-781	185	8	,	,	PUNCT
ijassa-781	185	9	an	an	DET
ijassa-781	185	10	injective	injective	ADJ
ijassa-781	185	11	functor	functor	NOUN
ijassa-781	185	12	onto	onto	ADP
ijassa-781	185	13	a	a	DET
ijassa-781	185	14	full	full	ADJ
ijassa-781	185	15	subcategory	subcategory	NOUN
ijassa-781	185	16	of	of	ADP
ijassa-781	185	17	its	its	PRON
ijassa-781	185	18	codomain	codomain	NOUN
ijassa-781	185	19	)	)	PUNCT
ijassa-781	185	20	┌	┌	PROPN
ijassa-781	185	21	–	–	PUNCT
ijassa-781	185	22	┐	┐	NOUN
ijassa-781	185	23	:	:	PUNCT
ijassa-781	185	24	c	c	X
ijassa-781	185	25	↪	↪	PROPN
ijassa-781	185	26	dc	dc	PROPN
ijassa-781	185	27	that	that	PRON
ijassa-781	185	28	takes	take	VERB
ijassa-781	185	29	a	a	DET
ijassa-781	185	30	c	c	NOUN
ijassa-781	185	31	-	-	PUNCT
ijassa-781	185	32	object	object	NOUN
ijassa-781	185	33	q	q	NOUN
ijassa-781	185	34	to	to	ADP
ijassa-781	185	35	the	the	DET
ijassa-781	185	36	singleton	singleton	PROPN
ijassa-781	185	37	diagram	diagram	NOUN
ijassa-781	185	38	┌	┌	PROPN
ijassa-781	185	39	q	q	PROPN
ijassa-781	185	40	┐	┐	PROPN
ijassa-781	186	1	:	:	PUNCT
ijassa-781	186	2	1	1	NUM
ijassa-781	186	3			NOUN
ijassa-781	186	4	c	c	NOUN
ijassa-781	186	5	:	:	PUNCT
ijassa-781	186	6	0	0	NUM
ijassa-781	186	7	↦	↦	PROPN
ijassa-781	186	8	q.	q.	PROPN
ijassa-781	186	9	a	a	DET
ijassa-781	186	10	dc	dc	PROPN
ijassa-781	186	11	-	-	PUNCT
ijassa-781	186	12	morphism	morphism	NOUN
ijassa-781	186	13	with	with	ADP
ijassa-781	186	14	a	a	DET
ijassa-781	186	15	singleton	singleton	NOUN
ijassa-781	186	16	diagram	diagram	NOUN
ijassa-781	186	17	as	as	ADP
ijassa-781	186	18	the	the	DET
ijassa-781	186	19	codomain	codomain	NOUN
ijassa-781	186	20	is	be	AUX
ijassa-781	186	21	called	call	VERB
ijassa-781	186	22	a	a	DET
ijassa-781	186	23	cocone	cocone	NOUN
ijassa-781	186	24	.	.	PUNCT
ijassa-781	187	1	this	this	DET
ijassa-781	187	2	name	name	NOUN
ijassa-781	187	3	is	be	AUX
ijassa-781	187	4	justified	justify	VERB
ijassa-781	187	5	by	by	ADP
ijassa-781	187	6	visual	visual	ADJ
ijassa-781	187	7	representation	representation	NOUN
ijassa-781	187	8	:	:	PUNCT
ijassa-781	187	9	a	a	DET
ijassa-781	187	10	cocone	cocone	NOUN
ijassa-781	187	11			NOUN
ijassa-781	187	12	,	,	PUNCT
ijassa-781	187	13	!	!	PUNCT
ijassa-781	188	1	x	x	PROPN
ijassa-781	188	2	:	:	PUNCT
ijassa-781	189	1			X
ijassa-781	189	2			PROPN
ijassa-781	189	3	┌	┌	VERB
ijassa-781	189	4	q	q	PROPN
ijassa-781	189	5	┐	┐	PROPN
ijassa-781	189	6	over	over	ADP
ijassa-781	189	7	a	a	DET
ijassa-781	189	8	diagram	diagram	NOUN
ijassa-781	189	9			NOUN
ijassa-781	189	10	:	:	PUNCT
ijassa-781	189	11	x	x	X
ijassa-781	189	12			NOUN
ijassa-781	189	13	c	c	NOUN
ijassa-781	189	14	can	can	AUX
ijassa-781	189	15	be	be	AUX
ijassa-781	189	16	depicted	depict	VERB
ijassa-781	189	17	by	by	ADP
ijassa-781	189	18	adding	add	VERB
ijassa-781	189	19	an	an	DET
ijassa-781	189	20	extra	extra	ADJ
ijassa-781	189	21	vertex	vertex	NOUN
ijassa-781	189	22	q	q	NOUN
ijassa-781	189	23	and	and	CCONJ
ijassa-781	189	24	associated	associated	ADJ
ijassa-781	189	25	edges	edge	NOUN
ijassa-781	189	26	a	a	ADV
ijassa-781	189	27	:	:	PUNCT
ijassa-781	189	28	(a	(a	PROPN
ijassa-781	189	29	)	)	PUNCT
ijassa-781	189	30			PUNCT
ijassa-781	190	1	q	q	X
ijassa-781	190	2	,	,	PUNCT
ijassa-781	190	3	a	a	DET
ijassa-781	190	4			NOUN
ijassa-781	190	5	ob	ob	PART
ijassa-781	190	6	x	x	NOUN
ijassa-781	190	7	,	,	PUNCT
ijassa-781	190	8	to	to	ADP
ijassa-781	190	9	the	the	DET
ijassa-781	190	10	graph	graph	NOUN
ijassa-781	190	11	of	of	ADP
ijassa-781	190	12	the	the	DET
ijassa-781	190	13	base	base	NOUN
ijassa-781	190	14	diagram	diagram	NOUN
ijassa-781	190	15	.	.	PROPN
ijassa-781	190	16	if	if	SCONJ
ijassa-781	190	17	the	the	DET
ijassa-781	190	18	extra	extra	ADJ
ijassa-781	190	19	edges	edge	NOUN
ijassa-781	190	20	were	be	AUX
ijassa-781	190	21	directed	direct	VERB
ijassa-781	190	22	reversely	reversely	ADV
ijassa-781	190	23	(	(	PUNCT
ijassa-781	190	24	dually	dually	ADV
ijassa-781	190	25	)	)	PUNCT
ijassa-781	190	26	,	,	PUNCT
ijassa-781	190	27	i.e.	i.e.	X
ijassa-781	190	28	,	,	PUNCT
ijassa-781	190	29	from	from	ADP
ijassa-781	190	30	q	q	NOUN
ijassa-781	190	31	to	to	ADP
ijassa-781	190	32	vertices	vertex	NOUN
ijassa-781	190	33	of	of	ADP
ijassa-781	190	34			NOUN
ijassa-781	190	35	,	,	PUNCT
ijassa-781	190	36	then	then	ADV
ijassa-781	190	37	category	category	NOUN
ijassa-781	190	38	theorists	theorist	NOUN
ijassa-781	190	39	would	would	AUX
ijassa-781	190	40	call	call	VERB
ijassa-781	190	41	this	this	DET
ijassa-781	190	42	picture	picture	NOUN
ijassa-781	190	43	by	by	ADP
ijassa-781	190	44	the	the	DET
ijassa-781	190	45	familiar	familiar	ADJ
ijassa-781	190	46	word	word	NOUN
ijassa-781	190	47	“	"	PUNCT
ijassa-781	190	48	cone	cone	NOUN
ijassa-781	190	49	”	"	PUNCT
ijassa-781	190	50	,	,	PUNCT
ijassa-781	190	51	hence	hence	ADV
ijassa-781	190	52	they	they	PRON
ijassa-781	190	53	apply	apply	VERB
ijassa-781	190	54	the	the	DET
ijassa-781	190	55	prefix	prefix	NOUN
ijassa-781	190	56	“	"	PUNCT
ijassa-781	190	57	co-	co-	PROPN
ijassa-781	190	58	”	"	PUNCT
ijassa-781	190	59	to	to	PART
ijassa-781	190	60	indicate	indicate	VERB
ijassa-781	190	61	the	the	DET
ijassa-781	190	62	duality	duality	NOUN
ijassa-781	190	63	.	.	PUNCT
ijassa-781	191	1	a	a	DET
ijassa-781	191	2	colimit	colimit	NOUN
ijassa-781	191	3	(	(	PUNCT
ijassa-781	191	4	named	name	VERB
ijassa-781	191	5	as	as	ADP
ijassa-781	191	6	a	a	DET
ijassa-781	191	7	dual	dual	ADJ
ijassa-781	191	8	to	to	ADP
ijassa-781	191	9	a	a	DET
ijassa-781	191	10	limit	limit	NOUN
ijassa-781	191	11	)	)	PUNCT
ijassa-781	191	12	of	of	ADP
ijassa-781	191	13			NOUN
ijassa-781	191	14	is	be	AUX
ijassa-781	191	15	a	a	DET
ijassa-781	191	16	cocone	cocone	ADJ
ijassa-781	191	17	colim	colim	NOUN
ijassa-781	191	18			NOUN
ijassa-781	191	19	:	:	PUNCT
ijassa-781	191	20			X
ijassa-781	191	21			PROPN
ijassa-781	191	22	┌	┌	VERB
ijassa-781	191	23	r	r	NOUN
ijassa-781	191	24	┐	┐	PROPN
ijassa-781	191	25	that	that	PRON
ijassa-781	191	26	is	be	AUX
ijassa-781	191	27	universal	universal	ADJ
ijassa-781	191	28	in	in	ADP
ijassa-781	191	29	the	the	DET
ijassa-781	191	30	following	follow	VERB
ijassa-781	191	31	sense	sense	NOUN
ijassa-781	191	32	:	:	PUNCT
ijassa-781	191	33	for	for	ADP
ijassa-781	191	34	any	any	DET
ijassa-781	191	35	c	c	NOUN
ijassa-781	191	36	-	-	PUNCT
ijassa-781	191	37	object	object	NOUN
ijassa-781	191	38	t	t	NOUN
ijassa-781	191	39	and	and	CCONJ
ijassa-781	191	40	any	any	DET
ijassa-781	191	41	cocone	cocone	NOUN
ijassa-781	191	42			NUM
ijassa-781	191	43	:	:	PUNCT
ijassa-781	191	44			X
ijassa-781	191	45			PROPN
ijassa-781	191	46	┌	┌	PROPN
ijassa-781	191	47	t	t	VERB
ijassa-781	191	48	┐	┐	PROPN
ijassa-781	191	49	there	there	PRON
ijassa-781	191	50	exists	exist	VERB
ijassa-781	191	51	a	a	DET
ijassa-781	191	52	unique	unique	ADJ
ijassa-781	191	53	c	c	NOUN
ijassa-781	191	54	-	-	PUNCT
ijassa-781	191	55	morphism	morphism	NOUN
ijassa-781	191	56	w	w	NOUN
ijassa-781	191	57	:	:	PUNCT
ijassa-781	191	58	r	r	NOUN
ijassa-781	191	59			NOUN
ijassa-781	191	60	t	t	NOUN
ijassa-781	191	61	that	that	PRON
ijassa-781	191	62	satisfies	satisfy	VERB
ijassa-781	191	63	the	the	DET
ijassa-781	191	64	equality	equality	NOUN
ijassa-781	191	65			PROPN
ijassa-781	191	66	=	=	SYM
ijassa-781	191	67	┌	┌	PROPN
ijassa-781	191	68	w	w	PROPN
ijassa-781	191	69	┐	┐	PROPN
ijassa-781	191	70	◦	◦	NOUN
ijassa-781	191	71	colim	colim	NOUN
ijassa-781	191	72	.	.	INTJ
ijassa-781	192	1	it	it	PRON
ijassa-781	192	2	is	be	AUX
ijassa-781	192	3	easy	easy	ADJ
ijassa-781	192	4	to	to	PART
ijassa-781	192	5	see	see	VERB
ijassa-781	192	6	leveraging	leverage	VERB
ijassa-781	192	7	category	category	NOUN
ijassa-781	192	8	theory	theory	NOUN
ijassa-781	192	9	in	in	ADP
ijassa-781	192	10	model	model	NOUN
ijassa-781	192	11	based	base	VERB
ijassa-781	192	12	enterprise	enterprise	NOUN
ijassa-781	192	13	57	57	NUM
ijassa-781	192	14	copyright	copyright	NOUN
ijassa-781	192	15	©	©	PROPN
ijassa-781	192	16	2020	2020	NUM
ijassa-781	193	1	assa	assa	NOUN
ijassa-781	193	2	.	.	PUNCT
ijassa-781	194	1	adv	adv	PROPN
ijassa-781	194	2	.	.	PUNCT
ijassa-781	195	1	in	in	ADP
ijassa-781	195	2	systems	system	NOUN
ijassa-781	195	3	science	science	NOUN
ijassa-781	195	4	and	and	CCONJ
ijassa-781	195	5	appl	appl	NOUN
ijassa-781	195	6	.	.	PUNCT
ijassa-781	196	1	(	(	PUNCT
ijassa-781	196	2	2020	2020	NUM
ijassa-781	196	3	)	)	PUNCT
ijassa-781	196	4	that	that	SCONJ
ijassa-781	196	5	this	this	DET
ijassa-781	196	6	universality	universality	NOUN
ijassa-781	196	7	condition	condition	NOUN
ijassa-781	196	8	is	be	AUX
ijassa-781	196	9	precisely	precisely	ADV
ijassa-781	196	10	the	the	DET
ijassa-781	196	11	structural	structural	ADJ
ijassa-781	196	12	criterion	criterion	NOUN
ijassa-781	196	13	from	from	ADP
ijassa-781	196	14	section	section	NOUN
ijassa-781	196	15	2	2	NUM
ijassa-781	196	16	which	which	PRON
ijassa-781	196	17	determines	determine	VERB
ijassa-781	196	18	the	the	DET
ijassa-781	196	19	model	model	NOUN
ijassa-781	196	20	r	r	NOUN
ijassa-781	196	21	of	of	ADP
ijassa-781	196	22	the	the	DET
ijassa-781	196	23	target	target	NOUN
ijassa-781	196	24	product	product	NOUN
ijassa-781	196	25	built	build	VERB
ijassa-781	196	26	from	from	ADP
ijassa-781	196	27	the	the	DET
ijassa-781	196	28	configuration	configuration	NOUN
ijassa-781	196	29	.	.	PROPN
ijassa-781	196	30	thus	thus	ADV
ijassa-781	196	31	,	,	PUNCT
ijassa-781	196	32	given	give	VERB
ijassa-781	196	33	a	a	DET
ijassa-781	196	34	product	product	NOUN
ijassa-781	196	35	configuration	configuration	NOUN
ijassa-781	196	36	represented	represent	VERB
ijassa-781	196	37	as	as	ADP
ijassa-781	196	38	a	a	DET
ijassa-781	196	39	diagram	diagram	NOUN
ijassa-781	196	40	,	,	PUNCT
ijassa-781	196	41	rigorous	rigorous	ADJ
ijassa-781	196	42	analysis	analysis	NOUN
ijassa-781	196	43	and	and	CCONJ
ijassa-781	196	44	verification	verification	NOUN
ijassa-781	196	45	of	of	ADP
ijassa-781	196	46	the	the	DET
ijassa-781	196	47	product	product	NOUN
ijassa-781	196	48	assembly	assembly	NOUN
ijassa-781	196	49	process	process	NOUN
ijassa-781	196	50	amounts	amount	VERB
ijassa-781	196	51	to	to	ADP
ijassa-781	196	52	checking	check	VERB
ijassa-781	196	53	that	that	SCONJ
ijassa-781	196	54	the	the	DET
ijassa-781	196	55	diagram	diagram	NOUN
ijassa-781	196	56	has	have	VERB
ijassa-781	196	57	a	a	DET
ijassa-781	196	58	colimit	colimit	NOUN
ijassa-781	196	59	and	and	CCONJ
ijassa-781	196	60	calculating	calculate	VERB
ijassa-781	196	61	its	its	PRON
ijassa-781	196	62	vertex	vertex	NOUN
ijassa-781	196	63	and	and	CCONJ
ijassa-781	196	64	associated	associated	ADJ
ijassa-781	196	65	edges	edge	NOUN
ijassa-781	196	66	.	.	PUNCT
ijassa-781	197	1	for	for	ADP
ijassa-781	197	2	example	example	NOUN
ijassa-781	197	3	,	,	PUNCT
ijassa-781	197	4	a	a	DET
ijassa-781	197	5	vertex	vertex	NOUN
ijassa-781	197	6	of	of	ADP
ijassa-781	197	7	a	a	DET
ijassa-781	197	8	colimit	colimit	NOUN
ijassa-781	197	9	of	of	ADP
ijassa-781	197	10	a	a	DET
ijassa-781	197	11	discrete	discrete	ADJ
ijassa-781	197	12	diagram	diagram	NOUN
ijassa-781	197	13	is	be	AUX
ijassa-781	197	14	known	know	VERB
ijassa-781	197	15	as	as	ADP
ijassa-781	197	16	a	a	DET
ijassa-781	197	17	sum	sum	NOUN
ijassa-781	197	18	of	of	ADP
ijassa-781	197	19	objects	object	NOUN
ijassa-781	197	20	that	that	PRON
ijassa-781	197	21	label	label	VERB
ijassa-781	197	22	the	the	DET
ijassa-781	197	23	diagram	diagram	NOUN
ijassa-781	197	24	’s	’s	PART
ijassa-781	197	25	vertices	vertex	NOUN
ijassa-781	197	26	,	,	PUNCT
ijassa-781	197	27	and	and	CCONJ
ijassa-781	197	28	its	its	PRON
ijassa-781	197	29	edges	edge	NOUN
ijassa-781	197	30	are	be	AUX
ijassa-781	197	31	called	call	VERB
ijassa-781	197	32	injections	injection	NOUN
ijassa-781	197	33	.	.	PUNCT
ijassa-781	198	1	another	another	DET
ijassa-781	198	2	useful	useful	ADJ
ijassa-781	198	3	kind	kind	NOUN
ijassa-781	198	4	of	of	ADP
ijassa-781	198	5	a	a	DET
ijassa-781	198	6	colimit	colimit	NOUN
ijassa-781	198	7	is	be	AUX
ijassa-781	198	8	that	that	PRON
ijassa-781	198	9	of	of	ADP
ijassa-781	198	10	a	a	DET
ijassa-781	198	11	diagram	diagram	NOUN
ijassa-781	198	12	consisting	consist	VERB
ijassa-781	198	13	of	of	ADP
ijassa-781	198	14	a	a	DET
ijassa-781	198	15	parallel	parallel	ADJ
ijassa-781	198	16	pair	pair	NOUN
ijassa-781	198	17	of	of	ADP
ijassa-781	198	18	morphisms	morphism	NOUN
ijassa-781	198	19			NOUN
ijassa-781	198	20	⇉	⇉	PUNCT
ijassa-781	199	1	.	.	PROPN
ijassa-781	199	2	the	the	DET
ijassa-781	199	3	colimit	colimit	NOUN
ijassa-781	199	4	edge	edge	NOUN
ijassa-781	199	5	that	that	PRON
ijassa-781	199	6	starts	start	VERB
ijassa-781	199	7	from	from	ADP
ijassa-781	199	8	the	the	DET
ijassa-781	199	9	right	right	ADJ
ijassa-781	199	10	vertex	vertex	NOUN
ijassa-781	199	11	of	of	ADP
ijassa-781	199	12	the	the	DET
ijassa-781	199	13	diagram	diagram	NOUN
ijassa-781	199	14	is	be	AUX
ijassa-781	199	15	called	call	VERB
ijassa-781	199	16	a	a	DET
ijassa-781	199	17	coequalizer	coequalizer	NOUN
ijassa-781	199	18	of	of	ADP
ijassa-781	199	19	the	the	DET
ijassa-781	199	20	pair	pair	NOUN
ijassa-781	199	21	;	;	PUNCT
ijassa-781	199	22	it	it	PRON
ijassa-781	199	23	generalizes	generalize	VERB
ijassa-781	199	24	the	the	DET
ijassa-781	199	25	set	set	NOUN
ijassa-781	199	26	-	-	PUNCT
ijassa-781	199	27	theoretical	theoretical	ADJ
ijassa-781	199	28	concept	concept	NOUN
ijassa-781	199	29	of	of	ADP
ijassa-781	199	30	a	a	DET
ijassa-781	199	31	quotient	quotient	NOUN
ijassa-781	199	32	.	.	PUNCT
ijassa-781	200	1	a	a	DET
ijassa-781	200	2	morphism	morphism	NOUN
ijassa-781	200	3	is	be	AUX
ijassa-781	200	4	called	call	VERB
ijassa-781	200	5	a	a	DET
ijassa-781	200	6	regular	regular	ADJ
ijassa-781	200	7	epimorphism	epimorphism	NOUN
ijassa-781	200	8	whenever	whenever	SCONJ
ijassa-781	200	9	there	there	PRON
ijassa-781	200	10	exists	exist	VERB
ijassa-781	200	11	a	a	DET
ijassa-781	200	12	parallel	parallel	ADJ
ijassa-781	200	13	pair	pair	NOUN
ijassa-781	200	14	that	that	PRON
ijassa-781	200	15	it	it	PRON
ijassa-781	200	16	coequalizes	coequalize	VERB
ijassa-781	200	17	.	.	PUNCT
ijassa-781	201	1	yet	yet	CCONJ
ijassa-781	201	2	another	another	DET
ijassa-781	201	3	fundamental	fundamental	ADJ
ijassa-781	201	4	type	type	NOUN
ijassa-781	201	5	of	of	ADP
ijassa-781	201	6	a	a	DET
ijassa-781	201	7	colimit	colimit	NOUN
ijassa-781	201	8	is	be	AUX
ijassa-781	201	9	constructed	construct	VERB
ijassa-781	201	10	as	as	SCONJ
ijassa-781	201	11	follows	follow	VERB
ijassa-781	201	12	.	.	PUNCT
ijassa-781	202	1	let	let	VERB
ijassa-781	202	2	v	v	PART
ijassa-781	202	3	be	be	AUX
ijassa-781	202	4	a	a	DET
ijassa-781	202	5	spanshaped	spanshape	VERB
ijassa-781	202	6	two	two	NUM
ijassa-781	202	7	-	-	PUNCT
ijassa-781	202	8	arrow	arrow	NOUN
ijassa-781	202	9	graph	graph	NOUN
ijassa-781	202	10			NOUN
ijassa-781	202	11			NOUN
ijassa-781	202	12			PRON
ijassa-781	202	13			PUNCT
ijassa-781	202	14			PRON
ijassa-781	202	15	and	and	CCONJ
ijassa-781	202	16			NOUN
ijassa-781	202	17	:	:	PUNCT
ijassa-781	202	18	v	v	X
ijassa-781	202	19			NOUN
ijassa-781	202	20	c	c	AUX
ijassa-781	202	21	be	be	AUX
ijassa-781	202	22	a	a	DET
ijassa-781	202	23	v	v	ADV
ijassa-781	202	24	-	-	PUNCT
ijassa-781	202	25	shaped	shape	VERB
ijassa-781	202	26	diagram	diagram	NOUN
ijassa-781	202	27	populated	populate	VERB
ijassa-781	202	28	by	by	ADP
ijassa-781	202	29	a	a	DET
ijassa-781	202	30	pair	pair	NOUN
ijassa-781	202	31	of	of	ADP
ijassa-781	202	32	c	c	NOUN
ijassa-781	202	33	-	-	PUNCT
ijassa-781	202	34	morphisms	morphisms	ADJ
ijassa-781	202	35	f	f	NOUN
ijassa-781	202	36	:	:	PUNCT
ijassa-781	203	1	p	p	X
ijassa-781	203	2			X
ijassa-781	203	3	g	g	NOUN
ijassa-781	203	4			PUNCT
ijassa-781	203	5	s	s	VERB
ijassa-781	203	6	:	:	PUNCT
ijassa-781	203	7	g.	g.	VERB
ijassa-781	203	8	the	the	DET
ijassa-781	203	9	colimit	colimit	NOUN
ijassa-781	203	10	of	of	ADP
ijassa-781	203	11			PROPN
ijassa-781	203	12	,	,	PUNCT
ijassa-781	203	13	called	call	VERB
ijassa-781	203	14	a	a	DET
ijassa-781	203	15	pushout	pushout	NOUN
ijassa-781	203	16	(	(	PUNCT
ijassa-781	203	17	or	or	CCONJ
ijassa-781	203	18	a	a	DET
ijassa-781	203	19	universal	universal	ADJ
ijassa-781	203	20	square	square	NOUN
ijassa-781	203	21	)	)	PUNCT
ijassa-781	203	22	of	of	ADP
ijassa-781	203	23	the	the	DET
ijassa-781	203	24	pair	pair	NOUN
ijassa-781	203	25	,	,	PUNCT
ijassa-781	203	26	is	be	AUX
ijassa-781	203	27	specified	specify	VERB
ijassa-781	203	28	by	by	ADP
ijassa-781	203	29	the	the	DET
ijassa-781	203	30	vertex	vertex	NOUN
ijassa-781	203	31	r	r	NOUN
ijassa-781	203	32	and	and	CCONJ
ijassa-781	203	33	the	the	DET
ijassa-781	203	34	pair	pair	NOUN
ijassa-781	203	35	of	of	ADP
ijassa-781	203	36	edges	edge	NOUN
ijassa-781	203	37	p	p	NOUN
ijassa-781	203	38	:	:	PUNCT
ijassa-781	203	39	p	p	NOUN
ijassa-781	203	40			PUNCT
ijassa-781	203	41	r	r	NOUN
ijassa-781	203	42			NOUN
ijassa-781	203	43	s	s	PART
ijassa-781	203	44	:	:	PUNCT
ijassa-781	203	45	s	s	VERB
ijassa-781	203	46	that	that	PRON
ijassa-781	203	47	satisfy	satisfy	VERB
ijassa-781	203	48	the	the	DET
ijassa-781	203	49	following	follow	VERB
ijassa-781	203	50	two	two	NUM
ijassa-781	203	51	conditions	condition	NOUN
ijassa-781	203	52	:	:	PUNCT
ijassa-781	203	53	the	the	DET
ijassa-781	203	54	equality	equality	NOUN
ijassa-781	203	55	p	p	PROPN
ijassa-781	203	56	◦	◦	NOUN
ijassa-781	203	57	f	f	X
ijassa-781	203	58	=	=	SYM
ijassa-781	203	59	s	s	PART
ijassa-781	204	1	◦	◦	NOUN
ijassa-781	204	2	g	g	NOUN
ijassa-781	204	3	holds	hold	VERB
ijassa-781	204	4	(	(	PUNCT
ijassa-781	204	5	it	it	PRON
ijassa-781	204	6	establishes	establish	VERB
ijassa-781	204	7	naturality	naturality	NOUN
ijassa-781	204	8	of	of	ADP
ijassa-781	204	9	the	the	DET
ijassa-781	204	10	pushout	pushout	NOUN
ijassa-781	204	11	and	and	CCONJ
ijassa-781	204	12	determines	determine	VERB
ijassa-781	204	13	the	the	DET
ijassa-781	204	14	colimit	colimit	NOUN
ijassa-781	204	15	edge	edge	NOUN
ijassa-781	204	16	directed	direct	VERB
ijassa-781	204	17	from	from	ADP
ijassa-781	204	18	g	g	NOUN
ijassa-781	204	19	to	to	ADP
ijassa-781	204	20	r	r	NOUN
ijassa-781	204	21	)	)	PUNCT
ijassa-781	204	22	,	,	PUNCT
ijassa-781	204	23	and	and	CCONJ
ijassa-781	204	24	,	,	PUNCT
ijassa-781	204	25	for	for	ADP
ijassa-781	204	26	any	any	DET
ijassa-781	204	27	object	object	NOUN
ijassa-781	204	28	t	t	NOUN
ijassa-781	204	29	and	and	CCONJ
ijassa-781	204	30	a	a	DET
ijassa-781	204	31	pair	pair	NOUN
ijassa-781	204	32	of	of	ADP
ijassa-781	204	33	morphisms	morphism	NOUN
ijassa-781	204	34	u	u	NOUN
ijassa-781	204	35	:	:	PUNCT
ijassa-781	204	36	p	p	NOUN
ijassa-781	204	37			X
ijassa-781	204	38	t	t	NOUN
ijassa-781	204	39			NOUN
ijassa-781	204	40	s	s	PART
ijassa-781	204	41	:	:	PUNCT
ijassa-781	204	42	v	v	ADP
ijassa-781	204	43	such	such	ADJ
ijassa-781	204	44	that	that	DET
ijassa-781	204	45	u	u	NOUN
ijassa-781	204	46	◦	◦	NOUN
ijassa-781	204	47	f	f	X
ijassa-781	204	48	=	=	SYM
ijassa-781	204	49	v	v	ADP
ijassa-781	204	50	◦	◦	NOUN
ijassa-781	204	51	g	g	NOUN
ijassa-781	204	52	,	,	PUNCT
ijassa-781	204	53	there	there	PRON
ijassa-781	204	54	exists	exist	VERB
ijassa-781	204	55	a	a	DET
ijassa-781	204	56	unique	unique	ADJ
ijassa-781	204	57	morphism	morphism	NOUN
ijassa-781	204	58	w	w	NOUN
ijassa-781	204	59	:	:	PUNCT
ijassa-781	204	60	r	r	NOUN
ijassa-781	204	61			NOUN
ijassa-781	204	62	t	t	NOUN
ijassa-781	204	63	that	that	PRON
ijassa-781	204	64	satisfies	satisfy	VERB
ijassa-781	204	65	the	the	DET
ijassa-781	204	66	equalities	equality	NOUN
ijassa-781	204	67	w	w	PROPN
ijassa-781	204	68	◦	◦	NOUN
ijassa-781	204	69	p	p	NOUN
ijassa-781	204	70	=	=	PUNCT
ijassa-781	204	71	u	u	NOUN
ijassa-781	204	72	and	and	CCONJ
ijassa-781	204	73	w	w	PROPN
ijassa-781	204	74	◦	◦	NOUN
ijassa-781	204	75	s	s	PART
ijassa-781	204	76	=	=	X
ijassa-781	204	77	v	v	NOUN
ijassa-781	204	78	(	(	PUNCT
ijassa-781	204	79	this	this	PRON
ijassa-781	204	80	is	be	AUX
ijassa-781	204	81	the	the	DET
ijassa-781	204	82	universality	universality	NOUN
ijassa-781	204	83	condition	condition	NOUN
ijassa-781	204	84	)	)	PUNCT
ijassa-781	204	85	.	.	PUNCT
ijassa-781	205	1	clearly	clearly	ADV
ijassa-781	205	2	,	,	PUNCT
ijassa-781	205	3	a	a	DET
ijassa-781	205	4	pushout	pushout	NOUN
ijassa-781	205	5	provides	provide	VERB
ijassa-781	205	6	a	a	DET
ijassa-781	205	7	solution	solution	NOUN
ijassa-781	205	8	to	to	ADP
ijassa-781	205	9	the	the	DET
ijassa-781	205	10	direct	direct	ADJ
ijassa-781	205	11	non	non	ADJ
ijassa-781	205	12	-	-	ADJ
ijassa-781	205	13	intrusive	intrusive	ADJ
ijassa-781	205	14	gluing	gluing	NOUN
ijassa-781	205	15	problem	problem	NOUN
ijassa-781	205	16	stated	state	VERB
ijassa-781	205	17	in	in	ADP
ijassa-781	205	18	section	section	NOUN
ijassa-781	205	19	2	2	NUM
ijassa-781	205	20	.	.	PUNCT
ijassa-781	206	1	a	a	DET
ijassa-781	206	2	pushout	pushout	NOUN
ijassa-781	206	3	can	can	AUX
ijassa-781	206	4	be	be	AUX
ijassa-781	206	5	constructed	construct	VERB
ijassa-781	206	6	via	via	ADP
ijassa-781	206	7	a	a	DET
ijassa-781	206	8	sum	sum	NOUN
ijassa-781	206	9	and	and	CCONJ
ijassa-781	206	10	a	a	DET
ijassa-781	206	11	coequalizer	coequalizer	NOUN
ijassa-781	206	12	provided	provide	VERB
ijassa-781	206	13	that	that	SCONJ
ijassa-781	206	14	they	they	PRON
ijassa-781	206	15	exist	exist	VERB
ijassa-781	206	16	[	[	X
ijassa-781	206	17	18	18	NUM
ijassa-781	206	18	,	,	PUNCT
ijassa-781	206	19	exercise	exercise	VERB
ijassa-781	206	20	iii.3.2	iii.3.2	ADV
ijassa-781	206	21	]	]	PUNCT
ijassa-781	206	22	.	.	PUNCT
ijassa-781	207	1	let	let	VERB
ijassa-781	207	2	p	p	NOUN
ijassa-781	207	3	=	=	PUNCT
ijassa-781	207	4	q	q	PUNCT
ijassa-781	207	5	◦	◦	NOUN
ijassa-781	207	6	inp	inp	PROPN
ijassa-781	207	7	and	and	CCONJ
ijassa-781	207	8	s	s	VERB
ijassa-781	207	9	=	=	X
ijassa-781	207	10	q	q	PART
ijassa-781	207	11	◦	◦	NOUN
ijassa-781	207	12	ins	in	NOUN
ijassa-781	207	13	,	,	PUNCT
ijassa-781	207	14	where	where	SCONJ
ijassa-781	207	15	inp	inp	PROPN
ijassa-781	207	16	:	:	PUNCT
ijassa-781	207	17	p	p	X
ijassa-781	207	18			X
ijassa-781	207	19	p	p	ADJ
ijassa-781	207	20			NOUN
ijassa-781	207	21	s	s	PART
ijassa-781	207	22			NOUN
ijassa-781	207	23	s	s	PART
ijassa-781	207	24	:	:	PUNCT
ijassa-781	207	25	ins	in	NOUN
ijassa-781	207	26	are	be	AUX
ijassa-781	207	27	injections	injection	NOUN
ijassa-781	207	28	of	of	ADP
ijassa-781	207	29	the	the	DET
ijassa-781	207	30	components	component	NOUN
ijassa-781	207	31	into	into	ADP
ijassa-781	207	32	the	the	DET
ijassa-781	207	33	sum	sum	NOUN
ijassa-781	207	34	and	and	CCONJ
ijassa-781	207	35	q	q	NOUN
ijassa-781	207	36	is	be	AUX
ijassa-781	207	37	the	the	DET
ijassa-781	207	38	coequalizer	coequalizer	NOUN
ijassa-781	207	39	of	of	ADP
ijassa-781	207	40	the	the	DET
ijassa-781	207	41	following	follow	VERB
ijassa-781	207	42	parallel	parallel	ADJ
ijassa-781	207	43	pair	pair	NOUN
ijassa-781	207	44	of	of	ADP
ijassa-781	207	45	morphisms	morphism	NOUN
ijassa-781	207	46	:	:	PUNCT
ijassa-781	207	47	inp	inp	PROPN
ijassa-781	207	48	◦	◦	VERB
ijassa-781	207	49	f	f	PROPN
ijassa-781	207	50	,	,	PUNCT
ijassa-781	207	51	ins	in	NOUN
ijassa-781	207	52	◦	◦	NOUN
ijassa-781	207	53	g	g	NOUN
ijassa-781	207	54	:	:	PUNCT
ijassa-781	207	55	g	g	PROPN
ijassa-781	207	56	⇉	⇉	PROPN
ijassa-781	208	1	p	p	X
ijassa-781	208	2			PROPN
ijassa-781	208	3	s.	s.	PROPN
ijassa-781	208	4	for	for	ADP
ijassa-781	208	5	the	the	DET
ijassa-781	208	6	pushout	pushout	NOUN
ijassa-781	208	7	constructed	construct	VERB
ijassa-781	208	8	in	in	ADP
ijassa-781	208	9	such	such	DET
ijassa-781	208	10	a	a	DET
ijassa-781	208	11	way	way	NOUN
ijassa-781	208	12	,	,	PUNCT
ijassa-781	208	13	the	the	DET
ijassa-781	208	14	naturality	naturality	NOUN
ijassa-781	208	15	condition	condition	NOUN
ijassa-781	208	16	(	(	PUNCT
ijassa-781	208	17	q	q	PART
ijassa-781	208	18	◦	◦	NOUN
ijassa-781	208	19	inp	inp	PROPN
ijassa-781	208	20	)	)	PUNCT
ijassa-781	208	21	◦	◦	NOUN
ijassa-781	209	1	f	f	NOUN
ijassa-781	209	2	=	=	PRON
ijassa-781	209	3	(	(	PUNCT
ijassa-781	209	4	q	q	PART
ijassa-781	209	5	◦	◦	NOUN
ijassa-781	209	6	ins	in	NOUN
ijassa-781	209	7	)	)	PUNCT
ijassa-781	209	8	◦	◦	NOUN
ijassa-781	209	9	g	g	NOUN
ijassa-781	209	10	and	and	CCONJ
ijassa-781	209	11	the	the	DET
ijassa-781	209	12	universality	universality	NOUN
ijassa-781	209	13	condition	condition	NOUN
ijassa-781	209	14	directly	directly	ADV
ijassa-781	209	15	follow	follow	VERB
ijassa-781	209	16	from	from	ADP
ijassa-781	209	17	the	the	DET
ijassa-781	209	18	definition	definition	NOUN
ijassa-781	209	19	of	of	ADP
ijassa-781	209	20	a	a	DET
ijassa-781	209	21	coequalizer	coequalizer	NOUN
ijassa-781	209	22	.	.	PUNCT
ijassa-781	210	1	in	in	ADP
ijassa-781	210	2	the	the	DET
ijassa-781	210	3	category	category	NOUN
ijassa-781	210	4	set	set	NOUN
ijassa-781	210	5	,	,	PUNCT
ijassa-781	210	6	the	the	DET
ijassa-781	210	7	sum	sum	NOUN
ijassa-781	210	8	is	be	AUX
ijassa-781	210	9	the	the	DET
ijassa-781	210	10	disjoint	disjoint	PROPN
ijassa-781	210	11	union	union	NOUN
ijassa-781	210	12	of	of	ADP
ijassa-781	210	13	sets	set	NOUN
ijassa-781	210	14	p	p	NOUN
ijassa-781	210	15	and	and	CCONJ
ijassa-781	210	16	s	s	NOUN
ijassa-781	210	17	,	,	PUNCT
ijassa-781	210	18	and	and	CCONJ
ijassa-781	210	19	the	the	DET
ijassa-781	210	20	coequalizer	coequalizer	NOUN
ijassa-781	210	21	is	be	AUX
ijassa-781	210	22	its	its	PRON
ijassa-781	210	23	quotient	quotient	NOUN
ijassa-781	210	24	map	map	NOUN
ijassa-781	210	25	modulo	modulo	VERB
ijassa-781	210	26	the	the	DET
ijassa-781	210	27	equivalence	equivalence	NOUN
ijassa-781	210	28	relation	relation	NOUN
ijassa-781	210	29	generated	generate	VERB
ijassa-781	210	30	by	by	ADP
ijassa-781	210	31	the	the	DET
ijassa-781	210	32	set	set	NOUN
ijassa-781	210	33	of	of	ADP
ijassa-781	210	34	pairs	pair	NOUN
ijassa-781	210	35	{	{	PUNCT
ijassa-781	210	36	(	(	PUNCT
ijassa-781	210	37	f(x	f(x	PROPN
ijassa-781	210	38	)	)	PUNCT
ijassa-781	210	39	,	,	PUNCT
ijassa-781	210	40	g(x	g(x	NOUN
ijassa-781	210	41	)	)	PUNCT
ijassa-781	210	42	)	)	PUNCT
ijassa-781	211	1	|	|	ADV
ijassa-781	211	2	x	x	SYM
ijassa-781	211	3			NOUN
ijassa-781	211	4	g	g	NOUN
ijassa-781	211	5	}	}	PUNCT
ijassa-781	211	6	.	.	PUNCT
ijassa-781	212	1	so	so	ADV
ijassa-781	212	2	the	the	DET
ijassa-781	212	3	edge	edge	NOUN
ijassa-781	212	4	map	map	NOUN
ijassa-781	212	5	p	p	NOUN
ijassa-781	212	6	takes	take	VERB
ijassa-781	212	7	each	each	DET
ijassa-781	212	8	element	element	NOUN
ijassa-781	212	9	of	of	ADP
ijassa-781	212	10	the	the	DET
ijassa-781	212	11	set	set	NOUN
ijassa-781	212	12	p	p	PROPN
ijassa-781	212	13	to	to	ADP
ijassa-781	212	14	the	the	DET
ijassa-781	212	15	element	element	NOUN
ijassa-781	212	16	’s	’s	PART
ijassa-781	212	17	equivalence	equivalence	NOUN
ijassa-781	212	18	class	class	NOUN
ijassa-781	212	19	,	,	PUNCT
ijassa-781	212	20	and	and	CCONJ
ijassa-781	212	21	the	the	DET
ijassa-781	212	22	map	map	NOUN
ijassa-781	212	23	s	s	PRON
ijassa-781	212	24	acts	act	NOUN
ijassa-781	212	25	similarly	similarly	ADV
ijassa-781	212	26	on	on	ADP
ijassa-781	212	27	s.	s.	PROPN
ijassa-781	212	28	if	if	SCONJ
ijassa-781	212	29	maps	map	NOUN
ijassa-781	212	30	f	f	PROPN
ijassa-781	212	31	and	and	CCONJ
ijassa-781	212	32	g	g	PROPN
ijassa-781	212	33	are	be	AUX
ijassa-781	212	34	injective	injective	ADJ
ijassa-781	212	35	,	,	PUNCT
ijassa-781	212	36	then	then	ADV
ijassa-781	212	37	they	they	PRON
ijassa-781	212	38	establish	establish	VERB
ijassa-781	212	39	that	that	SCONJ
ijassa-781	212	40	g	g	PROPN
ijassa-781	212	41	is	be	AUX
ijassa-781	212	42	the	the	DET
ijassa-781	212	43	intersection	intersection	NOUN
ijassa-781	212	44	of	of	ADP
ijassa-781	212	45	the	the	DET
ijassa-781	212	46	sets	set	NOUN
ijassa-781	212	47	p	p	NOUN
ijassa-781	212	48	and	and	CCONJ
ijassa-781	212	49	s	s	NOUN
ijassa-781	212	50	,	,	PUNCT
ijassa-781	212	51	and	and	CCONJ
ijassa-781	212	52	the	the	DET
ijassa-781	212	53	pushout	pushout	NOUN
ijassa-781	212	54	produces	produce	VERB
ijassa-781	212	55	precisely	precisely	ADV
ijassa-781	212	56	the	the	DET
ijassa-781	212	57	union	union	NOUN
ijassa-781	212	58	of	of	ADP
ijassa-781	212	59	the	the	DET
ijassa-781	212	60	sets	set	NOUN
ijassa-781	212	61	.	.	PUNCT
ijassa-781	213	1	it	it	PRON
ijassa-781	213	2	often	often	ADV
ijassa-781	213	3	occurs	occur	VERB
ijassa-781	213	4	at	at	ADP
ijassa-781	213	5	modeling	model	VERB
ijassa-781	213	6	a	a	DET
ijassa-781	213	7	mechanical	mechanical	ADJ
ijassa-781	213	8	product	product	NOUN
ijassa-781	213	9	assembly	assembly	NOUN
ijassa-781	213	10	by	by	ADP
ijassa-781	213	11	means	mean	NOUN
ijassa-781	213	12	of	of	ADP
ijassa-781	213	13	the	the	DET
ijassa-781	213	14	category	category	NOUN
ijassa-781	213	15	sbm	sbm	PROPN
ijassa-781	213	16	.	.	PUNCT
ijassa-781	214	1	illustrative	illustrative	ADJ
ijassa-781	214	2	examples	example	NOUN
ijassa-781	214	3	are	be	AUX
ijassa-781	214	4	shown	show	VERB
ijassa-781	214	5	in	in	ADP
ijassa-781	214	6	fig	fig	NOUN
ijassa-781	214	7	.	.	PUNCT
ijassa-781	215	1	1	1	NUM
ijassa-781	216	1	as	as	ADP
ijassa-781	216	2	assembly	assembly	NOUN
ijassa-781	216	3	tasks	task	NOUN
ijassa-781	216	4	m1	m1	PROPN
ijassa-781	216	5	-	-	PUNCT
ijassa-781	216	6	m4	m4	PROPN
ijassa-781	216	7	.	.	PUNCT
ijassa-781	217	1	for	for	ADP
ijassa-781	217	2	instance	instance	NOUN
ijassa-781	217	3	,	,	PUNCT
ijassa-781	217	4	the	the	DET
ijassa-781	217	5	task	task	NOUN
ijassa-781	217	6	m3	m3	PROPN
ijassa-781	217	7	consists	consist	VERB
ijassa-781	217	8	in	in	ADP
ijassa-781	217	9	actions	action	NOUN
ijassa-781	217	10	depicted	depict	VERB
ijassa-781	217	11	by	by	ADP
ijassa-781	217	12	dashed	dash	VERB
ijassa-781	217	13	arrows	arrow	NOUN
ijassa-781	217	14	of	of	ADP
ijassa-781	217	15	the	the	DET
ijassa-781	217	16	commutative	commutative	ADJ
ijassa-781	217	17	square	square	NOUN
ijassa-781	217	18	shown	show	VERB
ijassa-781	217	19	in	in	ADP
ijassa-781	217	20	fig	fig	NOUN
ijassa-781	217	21	.	.	PUNCT
ijassa-781	218	1	4	4	NUM
ijassa-781	218	2	(	(	PUNCT
ijassa-781	218	3	drawn	draw	VERB
ijassa-781	218	4	upside	upside	NOUN
ijassa-781	218	5	-	-	PUNCT
ijassa-781	218	6	down	down	NOUN
ijassa-781	218	7	in	in	ADP
ijassa-781	218	8	accordance	accordance	NOUN
ijassa-781	218	9	with	with	ADP
ijassa-781	218	10	iec	iec	NOUN
ijassa-781	218	11	81346	81346	NUM
ijassa-781	218	12	)	)	PUNCT
ijassa-781	218	13	.	.	PUNCT
ijassa-781	219	1	it	it	PRON
ijassa-781	219	2	is	be	AUX
ijassa-781	219	3	easy	easy	ADJ
ijassa-781	219	4	to	to	PART
ijassa-781	219	5	verify	verify	VERB
ijassa-781	219	6	directly	directly	ADV
ijassa-781	219	7	that	that	SCONJ
ijassa-781	219	8	this	this	DET
ijassa-781	219	9	square	square	NOUN
ijassa-781	219	10	is	be	AUX
ijassa-781	219	11	a	a	DET
ijassa-781	219	12	pushout	pushout	NOUN
ijassa-781	219	13	in	in	ADP
ijassa-781	219	14	sbm	sbm	PROPN
ijassa-781	219	15	.	.	PUNCT
ijassa-781	220	1	observe	observe	VERB
ijassa-781	220	2	that	that	SCONJ
ijassa-781	220	3	the	the	DET
ijassa-781	220	4	glue	glue	NOUN
ijassa-781	220	5	is	be	AUX
ijassa-781	220	6	represented	represent	VERB
ijassa-781	220	7	by	by	ADP
ijassa-781	220	8	means	mean	NOUN
ijassa-781	220	9	of	of	ADP
ijassa-781	220	10	sbm	sbm	NOUN
ijassa-781	220	11	as	as	ADP
ijassa-781	220	12	a	a	DET
ijassa-781	220	13	58	58	NUM
ijassa-781	220	14	s.p	s.p	PROPN
ijassa-781	220	15	.	.	PROPN
ijassa-781	220	16	kovalyov	kovalyov	PROPN
ijassa-781	221	1	copyright	copyright	NOUN
ijassa-781	221	2	©	©	PROPN
ijassa-781	221	3	2020	2020	NUM
ijassa-781	221	4	assa	assa	PROPN
ijassa-781	221	5	adv	adv	PROPN
ijassa-781	221	6	.	.	PUNCT
ijassa-781	222	1	in	in	ADP
ijassa-781	222	2	systems	system	NOUN
ijassa-781	222	3	science	science	NOUN
ijassa-781	222	4	and	and	CCONJ
ijassa-781	222	5	appl	appl	NOUN
ijassa-781	222	6	.	.	PUNCT
ijassa-781	223	1	(	(	PUNCT
ijassa-781	223	2	2020	2020	NUM
ijassa-781	223	3	)	)	PUNCT
ijassa-781	223	4	parts	part	NOUN
ijassa-781	223	5	’	'	PUNCT
ijassa-781	223	6	contact	contact	NOUN
ijassa-781	223	7	2d	2d	NUM
ijassa-781	223	8	surface	surface	NOUN
ijassa-781	223	9	on	on	ADP
ijassa-781	223	10	which	which	PRON
ijassa-781	223	11	thin	thin	ADJ
ijassa-781	223	12	layer	layer	NOUN
ijassa-781	223	13	of	of	ADP
ijassa-781	223	14	a	a	DET
ijassa-781	223	15	red	red	ADJ
ijassa-781	223	16	-	-	PUNCT
ijassa-781	223	17	colored	colored	ADJ
ijassa-781	223	18	chemical	chemical	NOUN
ijassa-781	223	19	adhesive	adhesive	NOUN
ijassa-781	223	20	is	be	AUX
ijassa-781	223	21	applied	apply	VERB
ijassa-781	223	22	to	to	PART
ijassa-781	223	23	fix	fix	VERB
ijassa-781	223	24	parts	part	NOUN
ijassa-781	223	25	together	together	ADV
ijassa-781	223	26	.	.	PUNCT
ijassa-781	224	1	fig	fig	NOUN
ijassa-781	224	2	.	.	PUNCT
ijassa-781	225	1	4	4	X
ijassa-781	225	2	.	.	X
ijassa-781	225	3	non	non	ADJ
ijassa-781	225	4	-	-	ADJ
ijassa-781	225	5	intrusive	intrusive	ADJ
ijassa-781	225	6	gluing	gluing	NOUN
ijassa-781	225	7	as	as	ADP
ijassa-781	225	8	a	a	DET
ijassa-781	225	9	pushout	pushout	NOUN
ijassa-781	225	10	non	non	ADJ
ijassa-781	225	11	-	-	ADJ
ijassa-781	225	12	intrusive	intrusive	ADJ
ijassa-781	225	13	gluing	gluing	NOUN
ijassa-781	225	14	is	be	AUX
ijassa-781	225	15	also	also	ADV
ijassa-781	225	16	widely	widely	ADV
ijassa-781	225	17	used	use	VERB
ijassa-781	225	18	as	as	ADP
ijassa-781	225	19	a	a	DET
ijassa-781	225	20	method	method	NOUN
ijassa-781	225	21	of	of	ADP
ijassa-781	225	22	producing	produce	VERB
ijassa-781	225	23	laminated	laminated	ADJ
ijassa-781	225	24	composite	composite	ADJ
ijassa-781	225	25	materials	material	NOUN
ijassa-781	225	26	.	.	PUNCT
ijassa-781	226	1	the	the	DET
ijassa-781	226	2	database	database	NOUN
ijassa-781	226	3	used	use	VERB
ijassa-781	226	4	in	in	ADP
ijassa-781	226	5	digital	digital	ADJ
ijassa-781	226	6	design	design	NOUN
ijassa-781	226	7	and	and	CCONJ
ijassa-781	226	8	verification	verification	NOUN
ijassa-781	226	9	of	of	ADP
ijassa-781	226	10	the	the	DET
ijassa-781	226	11	composite	composite	ADJ
ijassa-781	226	12	properties	property	NOUN
ijassa-781	226	13	is	be	AUX
ijassa-781	226	14	outlined	outline	VERB
ijassa-781	226	15	schematically	schematically	NOUN
ijassa-781	226	16	in	in	ADP
ijassa-781	226	17	fig	fig	NOUN
ijassa-781	226	18	.	.	PUNCT
ijassa-781	227	1	3	3	NUM
ijassa-781	227	2	above	above	ADV
ijassa-781	227	3	.	.	PUNCT
ijassa-781	228	1	an	an	DET
ijassa-781	228	2	interested	interested	ADJ
ijassa-781	228	3	reader	reader	NOUN
ijassa-781	228	4	with	with	ADP
ijassa-781	228	5	some	some	DET
ijassa-781	228	6	background	background	NOUN
ijassa-781	228	7	in	in	ADP
ijassa-781	228	8	materials	material	NOUN
ijassa-781	228	9	science	science	NOUN
ijassa-781	228	10	may	may	AUX
ijassa-781	228	11	construct	construct	VERB
ijassa-781	228	12	example	example	NOUN
ijassa-781	228	13	pushouts	pushout	NOUN
ijassa-781	228	14	and	and	CCONJ
ijassa-781	228	15	evaluate	evaluate	VERB
ijassa-781	228	16	properties	property	NOUN
ijassa-781	228	17	of	of	ADP
ijassa-781	228	18	composites	composite	NOUN
ijassa-781	228	19	over	over	ADP
ijassa-781	228	20	them	they	PRON
ijassa-781	228	21	following	follow	VERB
ijassa-781	228	22	[	[	X
ijassa-781	228	23	16	16	NUM
ijassa-781	228	24	]	]	X
ijassa-781	228	25	,	,	PUNCT
ijassa-781	228	26	as	as	ADP
ijassa-781	228	27	an	an	DET
ijassa-781	228	28	exercise	exercise	NOUN
ijassa-781	228	29	.	.	PUNCT
ijassa-781	229	1	the	the	DET
ijassa-781	229	2	construction	construction	NOUN
ijassa-781	229	3	of	of	ADP
ijassa-781	229	4	a	a	DET
ijassa-781	229	5	pushout	pushout	NOUN
ijassa-781	229	6	in	in	ADP
ijassa-781	229	7	set	set	NOUN
ijassa-781	229	8	admits	admit	VERB
ijassa-781	229	9	generalization	generalization	NOUN
ijassa-781	229	10	to	to	ADP
ijassa-781	229	11	many	many	ADJ
ijassa-781	229	12	familiar	familiar	ADJ
ijassa-781	229	13	categories	category	NOUN
ijassa-781	229	14	of	of	ADP
ijassa-781	229	15	sets	set	NOUN
ijassa-781	229	16	with	with	ADP
ijassa-781	229	17	structure	structure	NOUN
ijassa-781	229	18	.	.	PUNCT
ijassa-781	230	1	for	for	ADP
ijassa-781	230	2	example	example	NOUN
ijassa-781	230	3	,	,	PUNCT
ijassa-781	230	4	any	any	DET
ijassa-781	230	5	v	v	ADV
ijassa-781	230	6	-	-	PUNCT
ijassa-781	230	7	shaped	shape	VERB
ijassa-781	230	8	diagram	diagram	NOUN
ijassa-781	230	9	in	in	ADP
ijassa-781	230	10	the	the	DET
ijassa-781	230	11	category	category	NOUN
ijassa-781	230	12	of	of	ADP
ijassa-781	230	13	discrete	discrete	ADJ
ijassa-781	230	14	-	-	PUNCT
ijassa-781	230	15	event	event	NOUN
ijassa-781	230	16	simulation	simulation	NOUN
ijassa-781	230	17	pomset	pomset	NOUN
ijassa-781	230	18	has	have	VERB
ijassa-781	230	19	a	a	DET
ijassa-781	230	20	pushout	pushout	NOUN
ijassa-781	230	21	.	.	PUNCT
ijassa-781	231	1	however	however	ADV
ijassa-781	231	2	,	,	PUNCT
ijassa-781	231	3	if	if	SCONJ
ijassa-781	231	4	it	it	PRON
ijassa-781	231	5	were	be	AUX
ijassa-781	231	6	constructed	construct	VERB
ijassa-781	231	7	literally	literally	ADV
ijassa-781	231	8	as	as	ADP
ijassa-781	231	9	in	in	ADP
ijassa-781	231	10	set	set	NOUN
ijassa-781	231	11	,	,	PUNCT
ijassa-781	231	12	then	then	ADV
ijassa-781	231	13	the	the	DET
ijassa-781	231	14	order	order	NOUN
ijassa-781	231	15	on	on	ADP
ijassa-781	231	16	the	the	DET
ijassa-781	231	17	vertex	vertex	NOUN
ijassa-781	231	18	inherited	inherit	VERB
ijassa-781	231	19	from	from	ADP
ijassa-781	231	20	base	base	ADJ
ijassa-781	231	21	components	component	NOUN
ijassa-781	231	22	might	might	AUX
ijassa-781	231	23	turn	turn	VERB
ijassa-781	231	24	into	into	ADP
ijassa-781	231	25	a	a	DET
ijassa-781	231	26	preorder	preorder	NOUN
ijassa-781	231	27	,	,	PUNCT
ijassa-781	231	28	so	so	SCONJ
ijassa-781	231	29	an	an	DET
ijassa-781	231	30	extra	extra	ADJ
ijassa-781	231	31	quotient	quotient	NOUN
ijassa-781	231	32	may	may	AUX
ijassa-781	231	33	apply	apply	VERB
ijassa-781	231	34	to	to	PART
ijassa-781	231	35	restore	restore	VERB
ijassa-781	231	36	the	the	DET
ijassa-781	231	37	partial	partial	ADJ
ijassa-781	231	38	order	order	NOUN
ijassa-781	231	39	on	on	ADP
ijassa-781	231	40	the	the	DET
ijassa-781	231	41	vertex	vertex	NOUN
ijassa-781	231	42	in	in	ADP
ijassa-781	231	43	a	a	DET
ijassa-781	231	44	standard	standard	ADJ
ijassa-781	231	45	way	way	NOUN
ijassa-781	231	46	.	.	PUNCT
ijassa-781	232	1	the	the	DET
ijassa-781	232	2	realworld	realworld	PROPN
ijassa-781	232	3	example	example	NOUN
ijassa-781	232	4	that	that	PRON
ijassa-781	232	5	includes	include	VERB
ijassa-781	232	6	a	a	DET
ijassa-781	232	7	pushout	pushout	NOUN
ijassa-781	232	8	in	in	ADP
ijassa-781	232	9	pomset	pomset	NOUN
ijassa-781	232	10	is	be	AUX
ijassa-781	232	11	shown	show	VERB
ijassa-781	232	12	in	in	ADP
ijassa-781	232	13	fig	fig	NOUN
ijassa-781	232	14	.	.	PUNCT
ijassa-781	233	1	5	5	NUM
ijassa-781	233	2	below	below	ADV
ijassa-781	233	3	.	.	PUNCT
ijassa-781	234	1	a	a	DET
ijassa-781	234	2	colimit	colimit	NOUN
ijassa-781	234	3	of	of	ADP
ijassa-781	234	4	any	any	DET
ijassa-781	234	5	diagram	diagram	NOUN
ijassa-781	234	6	in	in	ADP
ijassa-781	234	7	any	any	DET
ijassa-781	234	8	category	category	NOUN
ijassa-781	234	9	can	can	AUX
ijassa-781	234	10	be	be	AUX
ijassa-781	234	11	constructed	construct	VERB
ijassa-781	234	12	via	via	ADP
ijassa-781	234	13	a	a	DET
ijassa-781	234	14	sequence	sequence	NOUN
ijassa-781	234	15	of	of	ADP
ijassa-781	234	16	sums	sum	NOUN
ijassa-781	234	17	and	and	CCONJ
ijassa-781	234	18	pushouts	pushout	NOUN
ijassa-781	234	19	provided	provide	VERB
ijassa-781	234	20	that	that	SCONJ
ijassa-781	234	21	it	it	PRON
ijassa-781	234	22	exists	exist	VERB
ijassa-781	234	23	(	(	PUNCT
ijassa-781	234	24	for	for	ADP
ijassa-781	234	25	example	example	NOUN
ijassa-781	234	26	,	,	PUNCT
ijassa-781	234	27	the	the	DET
ijassa-781	234	28	whole	whole	ADJ
ijassa-781	234	29	process	process	NOUN
ijassa-781	234	30	shown	show	VERB
ijassa-781	234	31	in	in	ADP
ijassa-781	234	32	fig	fig	NOUN
ijassa-781	234	33	.	.	PUNCT
ijassa-781	235	1	1	1	NUM
ijassa-781	235	2	amounts	amount	NOUN
ijassa-781	235	3	to	to	ADP
ijassa-781	235	4	assembling	assemble	VERB
ijassa-781	235	5	the	the	DET
ijassa-781	235	6	product	product	NOUN
ijassa-781	235	7	from	from	ADP
ijassa-781	235	8	parts	part	NOUN
ijassa-781	235	9	a	a	PRON
ijassa-781	235	10	,	,	PUNCT
ijassa-781	235	11	b	b	NOUN
ijassa-781	235	12	,	,	PUNCT
ijassa-781	235	13	and	and	CCONJ
ijassa-781	235	14	c	c	X
ijassa-781	235	15	via	via	ADP
ijassa-781	235	16	a	a	DET
ijassa-781	235	17	sequence	sequence	NOUN
ijassa-781	235	18	of	of	ADP
ijassa-781	235	19	pushouts	pushout	NOUN
ijassa-781	235	20	in	in	ADP
ijassa-781	235	21	sbm	sbm	PROPN
ijassa-781	235	22	)	)	PUNCT
ijassa-781	235	23	.	.	PUNCT
ijassa-781	236	1	furthermore	furthermore	ADV
ijassa-781	236	2	,	,	PUNCT
ijassa-781	236	3	in	in	ADP
ijassa-781	236	4	practical	practical	ADJ
ijassa-781	236	5	applications	application	NOUN
ijassa-781	236	6	simplifying	simplify	VERB
ijassa-781	236	7	the	the	DET
ijassa-781	236	8	shape	shape	NOUN
ijassa-781	236	9	of	of	ADP
ijassa-781	236	10	a	a	DET
ijassa-781	236	11	diagram	diagram	NOUN
ijassa-781	236	12	helps	help	VERB
ijassa-781	236	13	to	to	PART
ijassa-781	236	14	calculate	calculate	VERB
ijassa-781	236	15	colimits	colimit	NOUN
ijassa-781	236	16	.	.	PUNCT
ijassa-781	237	1	we	we	PRON
ijassa-781	237	2	present	present	VERB
ijassa-781	237	3	the	the	DET
ijassa-781	237	4	following	follow	VERB
ijassa-781	237	5	result	result	NOUN
ijassa-781	237	6	to	to	PART
ijassa-781	237	7	pursue	pursue	VERB
ijassa-781	237	8	this	this	DET
ijassa-781	237	9	direction	direction	NOUN
ijassa-781	237	10	.	.	PUNCT
ijassa-781	238	1	theorem	theorem	NOUN
ijassa-781	238	2	1	1	NUM
ijassa-781	238	3	:	:	PUNCT
ijassa-781	238	4	let	let	VERB
ijassa-781	238	5			NOUN
ijassa-781	238	6	:	:	PUNCT
ijassa-781	238	7	x	x	X
ijassa-781	238	8			NOUN
ijassa-781	238	9	c	c	AUX
ijassa-781	238	10	be	be	AUX
ijassa-781	238	11	a	a	DET
ijassa-781	238	12	diagram	diagram	NOUN
ijassa-781	238	13	,	,	PUNCT
ijassa-781	238	14	y	y	PROPN
ijassa-781	238	15	be	be	VERB
ijassa-781	238	16	a	a	DET
ijassa-781	238	17	full	full	ADJ
ijassa-781	238	18	reflective	reflective	ADJ
ijassa-781	238	19	subcategory	subcategory	NOUN
ijassa-781	238	20	of	of	ADP
ijassa-781	238	21	x	x	PROPN
ijassa-781	238	22	,	,	PUNCT
ijassa-781	238	23	and	and	CCONJ
ijassa-781	238	24	isc	isc	PROPN
ijassa-781	238	25	:	:	PUNCT
ijassa-781	238	26	y	y	PROPN
ijassa-781	238	27	↪	↪	PROPN
ijassa-781	238	28	x	x	PUNCT
ijassa-781	238	29	be	be	AUX
ijassa-781	238	30	an	an	DET
ijassa-781	238	31	embedding	embedding	NOUN
ijassa-781	238	32	.	.	PUNCT
ijassa-781	239	1	for	for	ADP
ijassa-781	239	2	each	each	DET
ijassa-781	239	3	cocone	cocone	NOUN
ijassa-781	239	4			NOUN
ijassa-781	239	5	:	:	PUNCT
ijassa-781	239	6			PUNCT
ijassa-781	239	7	◦	◦	NOUN
ijassa-781	239	8	isc	isc	PROPN
ijassa-781	239	9			ADJ
ijassa-781	239	10	┌	┌	PROPN
ijassa-781	239	11	s	s	PART
ijassa-781	239	12	┐	┐	PROPN
ijassa-781	239	13	,	,	PUNCT
ijassa-781	239	14	there	there	PRON
ijassa-781	239	15	exists	exist	VERB
ijassa-781	239	16	a	a	DET
ijassa-781	239	17	unique	unique	ADJ
ijassa-781	239	18	cocone	cocone	NOUN
ijassa-781	239	19			NOUN
ijassa-781	239	20	'	'	PUNCT
ijassa-781	239	21	:	:	PUNCT
ijassa-781	239	22			X
ijassa-781	239	23			PROPN
ijassa-781	239	24	┌	┌	VERB
ijassa-781	239	25	s	s	X
ijassa-781	239	26	┐	┐	NOUN
ijassa-781	239	27	such	such	ADJ
ijassa-781	239	28	that	that	PRON
ijassa-781	239	29			X
ijassa-781	239	30	=	=	PUNCT
ijassa-781	239	31			X
ijassa-781	239	32	'	'	PART
ijassa-781	239	33	◦	◦	NOUN
ijassa-781	239	34	1	1	NOUN
ijassa-781	239	35	◦	◦	PROPN
ijassa-781	239	36	isc	isc	PROPN
ijassa-781	239	37	,	,	PUNCT
ijassa-781	239	38	isc.	isc.	VERB
ijassa-781	239	39	moreover	moreover	ADV
ijassa-781	239	40	,	,	PUNCT
ijassa-781	239	41	the	the	DET
ijassa-781	239	42	cocone	cocone	NOUN
ijassa-781	239	43			NOUN
ijassa-781	239	44	is	be	AUX
ijassa-781	239	45	a	a	DET
ijassa-781	239	46	colimit	colimit	NOUN
ijassa-781	239	47	of	of	ADP
ijassa-781	239	48	the	the	DET
ijassa-781	239	49	diagram	diagram	NOUN
ijassa-781	239	50			NOUN
ijassa-781	239	51	◦	◦	PROPN
ijassa-781	239	52	isc	isc	PROPN
ijassa-781	239	53	if	if	SCONJ
ijassa-781	239	54	and	and	CCONJ
ijassa-781	239	55	only	only	ADV
ijassa-781	239	56	if	if	SCONJ
ijassa-781	239	57	the	the	DET
ijassa-781	239	58	cocone	cocone	NOUN
ijassa-781	239	59			NOUN
ijassa-781	239	60	'	'	PUNCT
ijassa-781	239	61	is	be	AUX
ijassa-781	239	62	a	a	DET
ijassa-781	239	63	colimit	colimit	NOUN
ijassa-781	239	64	of	of	ADP
ijassa-781	239	65	the	the	DET
ijassa-781	239	66	diagram	diagram	NOUN
ijassa-781	239	67	.	.	PROPN
ijassa-781	239	68	proof	proof	NOUN
ijassa-781	239	69	.	.	PUNCT
ijassa-781	240	1	recall	recall	VERB
ijassa-781	240	2	that	that	SCONJ
ijassa-781	240	3	a	a	DET
ijassa-781	240	4	subcategory	subcategory	ADJ
ijassa-781	240	5	y	y	PROPN
ijassa-781	240	6	of	of	ADP
ijassa-781	240	7	x	x	PROPN
ijassa-781	240	8	is	be	AUX
ijassa-781	240	9	called	call	VERB
ijassa-781	240	10	reflective	reflective	ADJ
ijassa-781	240	11	if	if	SCONJ
ijassa-781	240	12	the	the	DET
ijassa-781	240	13	embedding	embed	VERB
ijassa-781	240	14	isc	isc	PROPN
ijassa-781	240	15	:	:	PUNCT
ijassa-781	240	16	y	y	PROPN
ijassa-781	240	17	↪	↪	PROPN
ijassa-781	240	18	x	x	PUNCT
ijassa-781	240	19	has	have	VERB
ijassa-781	240	20	a	a	DET
ijassa-781	240	21	left	left	ADJ
ijassa-781	240	22	adjoint	adjoint	NOUN
ijassa-781	240	23	functor	functor	PROPN
ijassa-781	240	24	isc	isc	PROPN
ijassa-781	240	25	*	*	PROPN
ijassa-781	240	26	:	:	PUNCT
ijassa-781	240	27	x	x	X
ijassa-781	240	28			NOUN
ijassa-781	240	29	y	y	NOUN
ijassa-781	240	30	called	call	VERB
ijassa-781	240	31	a	a	DET
ijassa-781	240	32	reflector	reflector	NOUN
ijassa-781	240	33	[	[	X
ijassa-781	240	34	18	18	NUM
ijassa-781	240	35	,	,	PUNCT
ijassa-781	240	36	§	§	PROPN
ijassa-781	240	37	iv.3	iv.3	PROPN
ijassa-781	240	38	]	]	PUNCT
ijassa-781	240	39	.	.	PUNCT
ijassa-781	241	1	specifically	specifically	ADV
ijassa-781	241	2	,	,	PUNCT
ijassa-781	241	3	there	there	PRON
ijassa-781	241	4	exists	exist	VERB
ijassa-781	241	5	a	a	DET
ijassa-781	241	6	natural	natural	ADJ
ijassa-781	241	7	transformation	transformation	NOUN
ijassa-781	241	8			NUM
ijassa-781	241	9	:	:	PUNCT
ijassa-781	241	10	1x	1x	NUM
ijassa-781	241	11			PROPN
ijassa-781	242	1	isc	isc	PROPN
ijassa-781	242	2	◦	◦	PROPN
ijassa-781	242	3	isc	isc	PROPN
ijassa-781	242	4	*	*	PROPN
ijassa-781	242	5	,	,	PUNCT
ijassa-781	242	6	called	call	VERB
ijassa-781	242	7	the	the	DET
ijassa-781	242	8	reflection	reflection	NOUN
ijassa-781	242	9	unit	unit	NOUN
ijassa-781	242	10	,	,	PUNCT
ijassa-781	242	11	that	that	PRON
ijassa-781	242	12	consists	consist	VERB
ijassa-781	242	13	of	of	ADP
ijassa-781	242	14	universal	universal	ADJ
ijassa-781	242	15	arrows	arrow	NOUN
ijassa-781	242	16	.	.	PUNCT
ijassa-781	243	1	the	the	DET
ijassa-781	243	2	unit	unit	NOUN
ijassa-781	243	3	induces	induce	VERB
ijassa-781	243	4	a	a	DET
ijassa-781	243	5	dc	dc	PROPN
ijassa-781	243	6	-	-	PUNCT
ijassa-781	243	7	morphism	morphism	NOUN
ijassa-781	243	8	(	(	PROPN
ijassa-781	243	9	)	)	PUNCT
ijassa-781	243	10	,	,	PUNCT
ijassa-781	243	11	isc*	isc*	PRON
ijassa-781	243	12	:	:	PUNCT
ijassa-781	243	13			X
ijassa-781	243	14			PRON
ijassa-781	243	15			PUNCT
ijassa-781	243	16	◦	◦	PROPN
ijassa-781	243	17	isc	isc	PROPN
ijassa-781	243	18	.	.	PUNCT
ijassa-781	244	1	by	by	ADP
ijassa-781	244	2	definition	definition	NOUN
ijassa-781	244	3	of	of	ADP
ijassa-781	244	4	the	the	DET
ijassa-781	244	5	cocone	cocone	NOUN
ijassa-781	244	6	,	,	PUNCT
ijassa-781	244	7	for	for	ADP
ijassa-781	244	8	each	each	DET
ijassa-781	244	9	x	x	NOUN
ijassa-781	244	10	-	-	NOUN
ijassa-781	244	11	object	object	VERB
ijassa-781	244	12	i	i	PRON
ijassa-781	244	13	the	the	DET
ijassa-781	244	14	edge	edge	NOUN
ijassa-781	244	15	f	f	PROPN
ijassa-781	244	16	:	:	PUNCT
ijassa-781	244	17	(i	(i	PROPN
ijassa-781	244	18	)	)	PUNCT
ijassa-781	244	19			PUNCT
ijassa-781	245	1	s	s	VERB
ijassa-781	245	2	of	of	ADP
ijassa-781	245	3	the	the	DET
ijassa-781	245	4	desired	desire	VERB
ijassa-781	245	5	cocone	cocone	NOUN
ijassa-781	245	6			NOUN
ijassa-781	245	7	'	'	PART
ijassa-781	245	8	satisfies	satisfie	NOUN
ijassa-781	245	9	the	the	DET
ijassa-781	245	10	condition	condition	NOUN
ijassa-781	245	11	f	f	NOUN
ijassa-781	246	1	=	=	PUNCT
ijassa-781	246	2	h	h	PROPN
ijassa-781	246	3	◦	◦	NOUN
ijassa-781	246	4	(i	(i	X
ijassa-781	246	5	)	)	PUNCT
ijassa-781	246	6	where	where	SCONJ
ijassa-781	246	7	h	h	NOUN
ijassa-781	246	8	:	:	PUNCT
ijassa-781	246	9	(isc(isc*(i	(isc(isc*(i	PROPN
ijassa-781	246	10	)	)	PUNCT
ijassa-781	246	11	)	)	PUNCT
ijassa-781	246	12	)	)	PUNCT
ijassa-781	246	13			PUNCT
ijassa-781	247	1	s	s	VERB
ijassa-781	247	2	is	be	AUX
ijassa-781	247	3	an	an	DET
ijassa-781	247	4	edge	edge	NOUN
ijassa-781	247	5	of	of	ADP
ijassa-781	247	6	the	the	DET
ijassa-781	247	7	cocone	cocone	NOUN
ijassa-781	247	8			NOUN
ijassa-781	247	9	,	,	PUNCT
ijassa-781	247	10	so	so	SCONJ
ijassa-781	247	11			NOUN
ijassa-781	247	12	'	'	PUNCT
ijassa-781	247	13	=	=	SYM
ijassa-781	247	14			X
ijassa-781	247	15	◦	◦	NOUN
ijassa-781	247	16	(	(	PROPN
ijassa-781	247	17	)	)	PUNCT
ijassa-781	247	18	,	,	PUNCT
ijassa-781	247	19	isc*.	isc*.	PROPN
ijassa-781	247	20	assume	assume	VERB
ijassa-781	247	21	that	that	SCONJ
ijassa-781	247	22			PROPN
ijassa-781	247	23	is	be	AUX
ijassa-781	247	24	a	a	DET
ijassa-781	247	25	colimit	colimit	NOUN
ijassa-781	247	26	,	,	PUNCT
ijassa-781	247	27	and	and	CCONJ
ijassa-781	247	28	consider	consider	VERB
ijassa-781	247	29	an	an	DET
ijassa-781	247	30	arbitrary	arbitrary	ADJ
ijassa-781	247	31	cocone	cocone	NOUN
ijassa-781	247	32			NOUN
ijassa-781	247	33	:	:	PUNCT
ijassa-781	247	34			X
ijassa-781	247	35			PROPN
ijassa-781	247	36	┌	┌	PROPN
ijassa-781	247	37	t	t	PROPN
ijassa-781	247	38	┐	┐	PROPN
ijassa-781	247	39	.	.	PUNCT
ijassa-781	248	1	let	let	VERB
ijassa-781	248	2	w	w	X
ijassa-781	248	3	:	:	PUNCT
ijassa-781	248	4	s	s	PART
ijassa-781	248	5			NOUN
ijassa-781	249	1	t	t	NOUN
ijassa-781	249	2	be	be	AUX
ijassa-781	249	3	a	a	DET
ijassa-781	249	4	canonical	canonical	ADJ
ijassa-781	249	5	c	c	NOUN
ijassa-781	249	6	-	-	NOUN
ijassa-781	249	7	morphism	morphism	NOUN
ijassa-781	249	8	that	that	PRON
ijassa-781	249	9	satisfies	satisfy	VERB
ijassa-781	249	10	the	the	DET
ijassa-781	249	11	condition	condition	NOUN
ijassa-781	249	12			ADP
ijassa-781	249	13	◦	◦	PROPN
ijassa-781	249	14	1	1	PROPN
ijassa-781	249	15	◦	◦	PROPN
ijassa-781	249	16	isc	isc	PROPN
ijassa-781	249	17	,	,	PUNCT
ijassa-781	249	18	isc	isc	NOUN
ijassa-781	249	19	=	=	PUNCT
ijassa-781	250	1	┌	┌	PROPN
ijassa-781	250	2	w	w	PROPN
ijassa-781	250	3	┐	┐	PROPN
ijassa-781	250	4	◦	◦	NOUN
ijassa-781	250	5	.	.	NOUN
ijassa-781	250	6	hence	hence	ADV
ijassa-781	250	7	,	,	PUNCT
ijassa-781	250	8	┌	┌	PROPN
ijassa-781	250	9	w	w	PROPN
ijassa-781	250	10	┐	┐	PROPN
ijassa-781	250	11	◦	◦	NOUN
ijassa-781	250	12			NOUN
ijassa-781	250	13	'	'	PUNCT
ijassa-781	250	14	=	=	NOUN
ijassa-781	250	15			ADP
ijassa-781	250	16	◦	◦	PROPN
ijassa-781	250	17	1	1	PROPN
ijassa-781	250	18	◦	◦	PROPN
ijassa-781	250	19	isc	isc	PROPN
ijassa-781	250	20	,	,	PUNCT
ijassa-781	250	21	isc	isc	NOUN
ijassa-781	250	22	◦	◦	NOUN
ijassa-781	250	23	(	(	PROPN
ijassa-781	250	24	)	)	PUNCT
ijassa-781	250	25	,	,	PUNCT
ijassa-781	250	26	isc*	isc*	PRON
ijassa-781	250	27	=	=	PUNCT
ijassa-781	251	1			NOUN
ijassa-781	251	2	and	and	CCONJ
ijassa-781	251	3	,	,	PUNCT
ijassa-781	251	4	in	in	ADP
ijassa-781	251	5	addition	addition	NOUN
ijassa-781	251	6	,	,	PUNCT
ijassa-781	251	7	if	if	SCONJ
ijassa-781	251	8	some	some	DET
ijassa-781	251	9	c	c	NOUN
ijassa-781	251	10	-	-	PUNCT
ijassa-781	251	11	morphism	morphism	NOUN
ijassa-781	251	12	w̃	w̃	PROPN
ijassa-781	251	13	:	:	PUNCT
ijassa-781	251	14	s	s	X
ijassa-781	251	15			NOUN
ijassa-781	251	16	t	t	NOUN
ijassa-781	251	17	satisfies	satisfy	VERB
ijassa-781	251	18	the	the	DET
ijassa-781	251	19	condition	condition	NOUN
ijassa-781	251	20			ADP
ijassa-781	251	21	=	=	PUNCT
ijassa-781	251	22	┌	┌	PROPN
ijassa-781	251	23	w̃	w̃	PROPN
ijassa-781	251	24	┐	┐	PROPN
ijassa-781	251	25	◦	◦	NOUN
ijassa-781	251	26			NOUN
ijassa-781	251	27	'	'	PUNCT
ijassa-781	251	28	,	,	PUNCT
ijassa-781	251	29	then	then	ADV
ijassa-781	251	30			ADP
ijassa-781	251	31	◦	◦	NOUN
ijassa-781	251	32	1	1	PROPN
ijassa-781	251	33	◦	◦	PROPN
ijassa-781	251	34	isc	isc	PROPN
ijassa-781	251	35	,	,	PUNCT
ijassa-781	251	36	isc	isc	NOUN
ijassa-781	251	37	=	=	PUNCT
ijassa-781	251	38	┌	┌	PROPN
ijassa-781	251	39	w̃	w̃	PROPN
ijassa-781	251	40	┐	┐	PROPN
ijassa-781	251	41	◦	◦	NOUN
ijassa-781	251	42			NOUN
ijassa-781	251	43	'	'	PUNCT
ijassa-781	251	44	◦	◦	NOUN
ijassa-781	251	45	1	1	NOUN
ijassa-781	251	46	◦	◦	PROPN
ijassa-781	251	47	isc	isc	PROPN
ijassa-781	251	48	,	,	PUNCT
ijassa-781	251	49	isc	isc	NOUN
ijassa-781	251	50	=	=	PUNCT
ijassa-781	251	51	┌	┌	PROPN
ijassa-781	251	52	w̃	w̃	PROPN
ijassa-781	251	53	┐	┐	PROPN
ijassa-781	251	54	◦	◦	NOUN
ijassa-781	251	55			NOUN
ijassa-781	251	56	,	,	PUNCT
ijassa-781	251	57	so	so	ADV
ijassa-781	252	1	w̃	w̃	PROPN
ijassa-781	252	2	=	=	SYM
ijassa-781	252	3	w.	w.	NOUN
ijassa-781	252	4	we	we	PRON
ijassa-781	252	5	conclude	conclude	VERB
ijassa-781	252	6	that	that	SCONJ
ijassa-781	252	7			NOUN
ijassa-781	252	8	'	'	PUNCT
ijassa-781	252	9	is	be	AUX
ijassa-781	252	10	a	a	DET
ijassa-781	252	11	colimit	colimit	NOUN
ijassa-781	252	12	of	of	ADP
ijassa-781	252	13	the	the	DET
ijassa-781	252	14	diagram	diagram	NOUN
ijassa-781	252	15	.	.	PROPN
ijassa-781	252	16	conversely	conversely	ADV
ijassa-781	252	17	,	,	PUNCT
ijassa-781	252	18	assume	assume	VERB
ijassa-781	252	19	that	that	SCONJ
ijassa-781	252	20			NOUN
ijassa-781	252	21	'	'	PUNCT
ijassa-781	252	22	is	be	AUX
ijassa-781	252	23	a	a	DET
ijassa-781	252	24	colimit	colimit	NOUN
ijassa-781	252	25	,	,	PUNCT
ijassa-781	252	26	and	and	CCONJ
ijassa-781	252	27	consider	consider	VERB
ijassa-781	252	28	an	an	DET
ijassa-781	252	29	arbitrary	arbitrary	ADJ
ijassa-781	252	30	cocone	cocone	NOUN
ijassa-781	252	31			NUM
ijassa-781	252	32	:	:	PUNCT
ijassa-781	252	33			PUNCT
ijassa-781	252	34	◦	◦	NOUN
ijassa-781	252	35	isc	isc	PROPN
ijassa-781	252	36			PROPN
ijassa-781	252	37	┌	┌	PROPN
ijassa-781	252	38	u	u	NOUN
ijassa-781	252	39	┐	┐	PROPN
ijassa-781	252	40	.	.	PUNCT
ijassa-781	253	1	let	let	VERB
ijassa-781	253	2	u	u	PRON
ijassa-781	253	3	:	:	PUNCT
ijassa-781	253	4	s	s	X
ijassa-781	253	5			NOUN
ijassa-781	254	1	u	u	PRON
ijassa-781	254	2	be	be	VERB
ijassa-781	254	3	a	a	DET
ijassa-781	254	4	canonical	canonical	ADJ
ijassa-781	254	5	c	c	NOUN
ijassa-781	254	6	-	-	NOUN
ijassa-781	254	7	morphism	morphism	NOUN
ijassa-781	254	8	that	that	PRON
ijassa-781	254	9	satisfies	satisfy	VERB
ijassa-781	254	10	the	the	DET
ijassa-781	254	11	condition	condition	NOUN
ijassa-781	254	12			NOUN
ijassa-781	254	13	'	'	PUNCT
ijassa-781	254	14	=	=	NOUN
ijassa-781	254	15	leveraging	leverage	VERB
ijassa-781	254	16	category	category	NOUN
ijassa-781	254	17	theory	theory	NOUN
ijassa-781	254	18	in	in	ADP
ijassa-781	254	19	model	model	NOUN
ijassa-781	254	20	based	base	VERB
ijassa-781	254	21	enterprise	enterprise	NOUN
ijassa-781	254	22	59	59	NUM
ijassa-781	254	23	copyright	copyright	NOUN
ijassa-781	254	24	©	©	PROPN
ijassa-781	254	25	2020	2020	NUM
ijassa-781	254	26	assa	assa	NOUN
ijassa-781	254	27	.	.	PUNCT
ijassa-781	255	1	adv	adv	PROPN
ijassa-781	255	2	.	.	PUNCT
ijassa-781	256	1	in	in	ADP
ijassa-781	256	2	systems	system	NOUN
ijassa-781	256	3	science	science	NOUN
ijassa-781	256	4	and	and	CCONJ
ijassa-781	256	5	appl	appl	NOUN
ijassa-781	256	6	.	.	PUNCT
ijassa-781	257	1	(	(	PUNCT
ijassa-781	257	2	2020	2020	NUM
ijassa-781	257	3	)	)	PUNCT
ijassa-781	257	4	┌	┌	NOUN
ijassa-781	257	5	u	u	NOUN
ijassa-781	257	6	┐	┐	PROPN
ijassa-781	257	7	◦	◦	NOUN
ijassa-781	257	8			NOUN
ijassa-781	257	9	'	'	PUNCT
ijassa-781	257	10	where	where	SCONJ
ijassa-781	257	11			NOUN
ijassa-781	257	12	'	'	PUNCT
ijassa-781	257	13	=	=	NUM
ijassa-781	257	14			NUM
ijassa-781	257	15	◦	◦	NOUN
ijassa-781	257	16	(	(	PROPN
ijassa-781	257	17	)	)	PUNCT
ijassa-781	257	18	,	,	PUNCT
ijassa-781	257	19	isc*.	isc*.	PROPN
ijassa-781	257	20	hence	hence	ADV
ijassa-781	257	21	,	,	PUNCT
ijassa-781	257	22	┌	┌	PROPN
ijassa-781	257	23	u	u	NOUN
ijassa-781	257	24	┐	┐	PROPN
ijassa-781	257	25	◦	◦	NOUN
ijassa-781	257	26			X
ijassa-781	258	1	=	=	SYM
ijassa-781	258	2			NUM
ijassa-781	258	3	◦	◦	NOUN
ijassa-781	258	4	(	(	PROPN
ijassa-781	258	5	)	)	PUNCT
ijassa-781	259	1	,	,	PUNCT
ijassa-781	259	2	isc*	isc*	PRON
ijassa-781	259	3	◦	◦	VERB
ijassa-781	259	4	1	1	NOUN
ijassa-781	259	5	◦	◦	PROPN
ijassa-781	259	6	isc	isc	PROPN
ijassa-781	259	7	,	,	PUNCT
ijassa-781	259	8	isc	isc	NOUN
ijassa-781	259	9	=	=	PUNCT
ijassa-781	259	10			NOUN
ijassa-781	259	11	and	and	CCONJ
ijassa-781	259	12	,	,	PUNCT
ijassa-781	259	13	in	in	ADP
ijassa-781	259	14	addition	addition	NOUN
ijassa-781	259	15	,	,	PUNCT
ijassa-781	259	16	if	if	SCONJ
ijassa-781	259	17	some	some	DET
ijassa-781	259	18	c	c	NOUN
ijassa-781	259	19	-	-	PUNCT
ijassa-781	259	20	morphism	morphism	ADJ
ijassa-781	259	21	ũ	ũ	PROPN
ijassa-781	259	22	:	:	PUNCT
ijassa-781	259	23	s	s	X
ijassa-781	259	24			NOUN
ijassa-781	259	25	u	u	NOUN
ijassa-781	259	26	satisfies	satisfy	VERB
ijassa-781	259	27	the	the	DET
ijassa-781	259	28	condition	condition	NOUN
ijassa-781	259	29			NUM
ijassa-781	259	30	=	=	PUNCT
ijassa-781	260	1	┌	┌	PROPN
ijassa-781	260	2	ũ	ũ	X
ijassa-781	260	3	┐	┐	PROPN
ijassa-781	260	4	◦	◦	NOUN
ijassa-781	260	5			NOUN
ijassa-781	260	6	,	,	PUNCT
ijassa-781	260	7	then	then	ADV
ijassa-781	260	8			NUM
ijassa-781	260	9	'	'	PUNCT
ijassa-781	260	10	=	=	PUNCT
ijassa-781	260	11	┌	┌	PROPN
ijassa-781	260	12	ũ	ũ	X
ijassa-781	260	13	┐	┐	ADJ
ijassa-781	260	14	◦	◦	NOUN
ijassa-781	260	15			X
ijassa-781	260	16	◦	◦	NOUN
ijassa-781	260	17	(	(	PROPN
ijassa-781	260	18	)	)	PUNCT
ijassa-781	260	19	,	,	PUNCT
ijassa-781	260	20	isc*	isc*	NOUN
ijassa-781	260	21	=	=	PUNCT
ijassa-781	261	1	┌	┌	PROPN
ijassa-781	261	2	ũ	ũ	X
ijassa-781	261	3	┐	┐	PROPN
ijassa-781	261	4	◦	◦	NOUN
ijassa-781	261	5			NOUN
ijassa-781	261	6	'	'	PUNCT
ijassa-781	261	7	,	,	PUNCT
ijassa-781	261	8	so	so	CCONJ
ijassa-781	261	9	ũ	ũ	X
ijassa-781	261	10	=	=	PUNCT
ijassa-781	262	1	u.	u.	NOUN
ijassa-781	262	2	we	we	PRON
ijassa-781	262	3	conclude	conclude	VERB
ijassa-781	262	4	that	that	SCONJ
ijassa-781	262	5			PROPN
ijassa-781	262	6	is	be	AUX
ijassa-781	262	7	a	a	DET
ijassa-781	262	8	colimit	colimit	NOUN
ijassa-781	262	9	of	of	ADP
ijassa-781	262	10	the	the	DET
ijassa-781	262	11	diagram	diagram	NOUN
ijassa-781	262	12			NOUN
ijassa-781	262	13	◦	◦	PROPN
ijassa-781	262	14	isc	isc	PROPN
ijassa-781	262	15	.	.	PUNCT
ijassa-781	263	1	□	□	PUNCT
ijassa-781	263	2	as	as	ADP
ijassa-781	263	3	an	an	DET
ijassa-781	263	4	application	application	NOUN
ijassa-781	263	5	of	of	ADP
ijassa-781	263	6	theorem	theorem	NOUN
ijassa-781	263	7	1	1	NUM
ijassa-781	263	8	,	,	PUNCT
ijassa-781	263	9	consider	consider	VERB
ijassa-781	263	10	the	the	DET
ijassa-781	263	11	direct	direct	ADJ
ijassa-781	263	12	general	general	ADJ
ijassa-781	263	13	gluing	gluing	NOUN
ijassa-781	263	14	problem	problem	NOUN
ijassa-781	263	15	.	.	PUNCT
ijassa-781	264	1	its	its	PRON
ijassa-781	264	2	solution	solution	NOUN
ijassa-781	264	3	amounts	amount	VERB
ijassa-781	264	4	to	to	ADP
ijassa-781	264	5	constructing	construct	VERB
ijassa-781	264	6	a	a	DET
ijassa-781	264	7	colimit	colimit	NOUN
ijassa-781	264	8	of	of	ADP
ijassa-781	264	9	a	a	DET
ijassa-781	264	10	diagram	diagram	NOUN
ijassa-781	264	11	with	with	ADP
ijassa-781	264	12	the	the	DET
ijassa-781	264	13	following	follow	VERB
ijassa-781	264	14	shape	shape	NOUN
ijassa-781	264	15	that	that	PRON
ijassa-781	264	16	we	we	PRON
ijassa-781	264	17	will	will	AUX
ijassa-781	264	18	denote	denote	VERB
ijassa-781	264	19	by	by	ADP
ijassa-781	264	20	m.	m.	NOUN
ijassa-781	264	21	there	there	PRON
ijassa-781	264	22	exists	exist	VERB
ijassa-781	264	23	an	an	DET
ijassa-781	264	24	embedding	embed	VERB
ijassa-781	264	25	iv	iv	NUM
ijassa-781	264	26	:	:	PUNCT
ijassa-781	264	27	v	v	NUM
ijassa-781	264	28	↪	↪	PROPN
ijassa-781	264	29	m	m	NOUN
ijassa-781	264	30	that	that	PRON
ijassa-781	264	31	maps	map	VERB
ijassa-781	264	32	v	v	X
ijassa-781	264	33	onto	onto	ADP
ijassa-781	264	34	a	a	DET
ijassa-781	264	35	full	full	ADJ
ijassa-781	264	36	subcategory	subcategory	NOUN
ijassa-781	264	37	of	of	ADP
ijassa-781	264	38	m	m	PROPN
ijassa-781	264	39	with	with	ADP
ijassa-781	264	40	a	a	DET
ijassa-781	264	41	set	set	NOUN
ijassa-781	264	42	of	of	ADP
ijassa-781	264	43	object	object	NOUN
ijassa-781	264	44	{	{	PUNCT
ijassa-781	264	45	b	b	NOUN
ijassa-781	264	46	,	,	PUNCT
ijassa-781	264	47	c	c	X
ijassa-781	264	48	,	,	PUNCT
ijassa-781	264	49	b	b	NOUN
ijassa-781	264	50	'	'	PUNCT
ijassa-781	264	51	}	}	PUNCT
ijassa-781	264	52	.	.	PUNCT
ijassa-781	265	1	this	this	DET
ijassa-781	265	2	subcategory	subcategory	PROPN
ijassa-781	265	3	is	be	AUX
ijassa-781	265	4	reflective	reflective	ADJ
ijassa-781	265	5	,	,	PUNCT
ijassa-781	265	6	with	with	ADP
ijassa-781	265	7	the	the	DET
ijassa-781	265	8	reflector	reflector	NOUN
ijassa-781	265	9	iv	iv	PROPN
ijassa-781	265	10	*	*	PUNCT
ijassa-781	265	11	taking	take	VERB
ijassa-781	265	12	a	a	DET
ijassa-781	265	13	to	to	ADP
ijassa-781	265	14	b	b	NOUN
ijassa-781	265	15	,	,	PUNCT
ijassa-781	265	16	a	a	PRON
ijassa-781	265	17	'	'	PUNCT
ijassa-781	265	18	to	to	ADP
ijassa-781	265	19	b	b	NOUN
ijassa-781	265	20	'	'	PUNCT
ijassa-781	265	21	,	,	PUNCT
ijassa-781	265	22	and	and	CCONJ
ijassa-781	265	23	other	other	ADJ
ijassa-781	265	24	vertices	vertex	NOUN
ijassa-781	265	25	to	to	ADP
ijassa-781	265	26	themselves	themselves	PRON
ijassa-781	265	27	,	,	PUNCT
ijassa-781	265	28	so	so	SCONJ
ijassa-781	265	29	that	that	SCONJ
ijassa-781	265	30	two	two	NUM
ijassa-781	265	31	outer	outer	ADJ
ijassa-781	265	32	arrows	arrow	NOUN
ijassa-781	265	33	a	a	DET
ijassa-781	265	34			NOUN
ijassa-781	265	35	b	b	NOUN
ijassa-781	265	36	and	and	CCONJ
ijassa-781	266	1	a	a	DET
ijassa-781	266	2	'	'	PUNCT
ijassa-781	266	3			NOUN
ijassa-781	266	4	b	b	X
ijassa-781	266	5	'	'	PUNCT
ijassa-781	266	6	are	be	AUX
ijassa-781	266	7	the	the	DET
ijassa-781	266	8	reflection	reflection	NOUN
ijassa-781	266	9	unit	unit	NOUN
ijassa-781	266	10	components	component	NOUN
ijassa-781	266	11	associated	associate	VERB
ijassa-781	266	12	with	with	ADP
ijassa-781	266	13	objects	object	NOUN
ijassa-781	266	14	a	a	PRON
ijassa-781	266	15	and	and	CCONJ
ijassa-781	266	16	a	a	PRON
ijassa-781	266	17	'	'	PUNCT
ijassa-781	266	18	,	,	PUNCT
ijassa-781	266	19	respectively	respectively	ADV
ijassa-781	266	20	.	.	PUNCT
ijassa-781	267	1	by	by	ADP
ijassa-781	267	2	theorem	theorem	NOUN
ijassa-781	267	3	1	1	NUM
ijassa-781	267	4	,	,	PUNCT
ijassa-781	267	5	the	the	DET
ijassa-781	267	6	colimit	colimit	NOUN
ijassa-781	267	7	of	of	ADP
ijassa-781	267	8	a	a	DET
ijassa-781	267	9	diagram	diagram	NOUN
ijassa-781	267	10			NOUN
ijassa-781	267	11	:	:	PUNCT
ijassa-781	267	12	m	m	VERB
ijassa-781	267	13			NOUN
ijassa-781	267	14	c	c	NOUN
ijassa-781	267	15	is	be	AUX
ijassa-781	267	16	determined	determine	VERB
ijassa-781	267	17	one	one	NUM
ijassa-781	267	18	-	-	PUNCT
ijassa-781	267	19	to	to	ADP
ijassa-781	267	20	-	-	PUNCT
ijassa-781	267	21	one	one	NUM
ijassa-781	267	22	by	by	ADP
ijassa-781	267	23	the	the	DET
ijassa-781	267	24	pushout	pushout	NOUN
ijassa-781	267	25	of	of	ADP
ijassa-781	267	26	the	the	DET
ijassa-781	267	27	diagram	diagram	NOUN
ijassa-781	267	28			NOUN
ijassa-781	268	1	◦	◦	NOUN
ijassa-781	268	2	iv	iv	NUM
ijassa-781	268	3	:	:	SYM
ijassa-781	268	4	v	v	NUM
ijassa-781	268	5			NOUN
ijassa-781	269	1	c	c	NOUN
ijassa-781	269	2	comprised	comprise	VERB
ijassa-781	269	3	from	from	ADP
ijassa-781	269	4	two	two	NUM
ijassa-781	269	5	central	central	ADJ
ijassa-781	269	6	arrows	arrow	NOUN
ijassa-781	269	7	of	of	ADP
ijassa-781	269	8	m.	m.	NOUN
ijassa-781	269	9	real	real	ADJ
ijassa-781	269	10	-	-	PUNCT
ijassa-781	269	11	world	world	NOUN
ijassa-781	269	12	examples	example	NOUN
ijassa-781	269	13	of	of	ADP
ijassa-781	269	14	colimits	colimit	NOUN
ijassa-781	269	15	of	of	ADP
ijassa-781	269	16	this	this	DET
ijassa-781	269	17	kind	kind	NOUN
ijassa-781	269	18	can	can	AUX
ijassa-781	269	19	be	be	AUX
ijassa-781	269	20	constructed	construct	VERB
ijassa-781	269	21	in	in	ADP
ijassa-781	269	22	the	the	DET
ijassa-781	269	23	category	category	NOUN
ijassa-781	269	24	sbm	sbm	NOUN
ijassa-781	269	25	by	by	ADP
ijassa-781	269	26	representing	represent	VERB
ijassa-781	269	27	“	"	PUNCT
ijassa-781	269	28	intrusive	intrusive	ADJ
ijassa-781	269	29	”	"	PUNCT
ijassa-781	269	30	means	mean	NOUN
ijassa-781	269	31	of	of	ADP
ijassa-781	269	32	joining	join	VERB
ijassa-781	269	33	mechanical	mechanical	ADJ
ijassa-781	269	34	parts	part	NOUN
ijassa-781	269	35	,	,	PUNCT
ijassa-781	269	36	such	such	ADJ
ijassa-781	269	37	as	as	ADP
ijassa-781	269	38	riveting	riveting	ADJ
ijassa-781	269	39	.	.	PUNCT
ijassa-781	270	1	yet	yet	ADV
ijassa-781	270	2	another	another	DET
ijassa-781	270	3	example	example	NOUN
ijassa-781	270	4	is	be	AUX
ijassa-781	270	5	inspired	inspire	VERB
ijassa-781	270	6	by	by	ADP
ijassa-781	270	7	the	the	DET
ijassa-781	270	8	right	right	ADJ
ijassa-781	270	9	half	half	NOUN
ijassa-781	270	10	of	of	ADP
ijassa-781	270	11	fig	fig	NOUN
ijassa-781	270	12	.	.	PUNCT
ijassa-781	271	1	1	1	NUM
ijassa-781	271	2	:	:	PUNCT
ijassa-781	271	3	the	the	DET
ijassa-781	271	4	production	production	NOUN
ijassa-781	271	5	process	process	NOUN
ijassa-781	271	6	simulation	simulation	NOUN
ijassa-781	271	7	can	can	AUX
ijassa-781	271	8	be	be	AUX
ijassa-781	271	9	glued	glue	VERB
ijassa-781	271	10	from	from	ADP
ijassa-781	271	11	simulations	simulation	NOUN
ijassa-781	271	12	of	of	ADP
ijassa-781	271	13	robot	robot	NOUN
ijassa-781	271	14	a	a	NOUN
ijassa-781	271	15	,	,	PUNCT
ijassa-781	271	16	robot	robot	NOUN
ijassa-781	271	17	b	b	NOUN
ijassa-781	271	18	,	,	PUNCT
ijassa-781	271	19	and	and	CCONJ
ijassa-781	271	20	the	the	DET
ijassa-781	271	21	conveyor	conveyor	NOUN
ijassa-781	271	22	.	.	PUNCT
ijassa-781	272	1	according	accord	VERB
ijassa-781	272	2	to	to	ADP
ijassa-781	272	3	the	the	DET
ijassa-781	272	4	production	production	NOUN
ijassa-781	272	5	graph	graph	NOUN
ijassa-781	272	6	,	,	PUNCT
ijassa-781	272	7	the	the	DET
ijassa-781	272	8	conveyor	conveyor	NOUN
ijassa-781	272	9	acts	act	VERB
ijassa-781	272	10	as	as	ADP
ijassa-781	272	11	a	a	DET
ijassa-781	272	12	“	"	PUNCT
ijassa-781	272	13	process	process	NOUN
ijassa-781	272	14	glue	glue	NOUN
ijassa-781	272	15	”	"	PUNCT
ijassa-781	272	16	between	between	ADP
ijassa-781	272	17	two	two	NUM
ijassa-781	272	18	robots	robot	NOUN
ijassa-781	272	19	,	,	PUNCT
ijassa-781	272	20	delivering	deliver	VERB
ijassa-781	272	21	parts	part	NOUN
ijassa-781	272	22	and	and	CCONJ
ijassa-781	272	23	assembly	assembly	NOUN
ijassa-781	272	24	task	task	NOUN
ijassa-781	272	25	results	result	NOUN
ijassa-781	272	26	from	from	ADP
ijassa-781	272	27	one	one	NUM
ijassa-781	272	28	to	to	ADP
ijassa-781	272	29	another	another	PRON
ijassa-781	272	30	.	.	PUNCT
ijassa-781	273	1	one	one	NUM
ijassa-781	273	2	possible	possible	ADJ
ijassa-781	273	3	production	production	NOUN
ijassa-781	273	4	scenario	scenario	NOUN
ijassa-781	273	5	consisting	consist	VERB
ijassa-781	273	6	of	of	ADP
ijassa-781	273	7	tasks	task	NOUN
ijassa-781	273	8	m3	m3	PROPN
ijassa-781	273	9	and	and	CCONJ
ijassa-781	273	10	m4	m4	PROPN
ijassa-781	273	11	performed	perform	VERB
ijassa-781	273	12	by	by	ADP
ijassa-781	273	13	robots	robot	NOUN
ijassa-781	273	14	b	b	PROPN
ijassa-781	273	15	and	and	CCONJ
ijassa-781	273	16	a	a	PRON
ijassa-781	273	17	,	,	PUNCT
ijassa-781	273	18	respectively	respectively	ADV
ijassa-781	273	19	,	,	PUNCT
ijassa-781	273	20	is	be	AUX
ijassa-781	273	21	represented	represent	VERB
ijassa-781	273	22	in	in	ADP
ijassa-781	273	23	fig	fig	NOUN
ijassa-781	273	24	.	.	PUNCT
ijassa-781	274	1	5	5	NUM
ijassa-781	274	2	by	by	ADP
ijassa-781	274	3	a	a	DET
ijassa-781	274	4	colimit	colimit	NOUN
ijassa-781	274	5	of	of	ADP
ijassa-781	274	6	an	an	DET
ijassa-781	274	7	m	m	ADV
ijassa-781	274	8	-	-	PUNCT
ijassa-781	274	9	shaped	shape	VERB
ijassa-781	274	10	diagram	diagram	NOUN
ijassa-781	274	11	in	in	ADP
ijassa-781	274	12	the	the	DET
ijassa-781	274	13	category	category	NOUN
ijassa-781	274	14	pomset	pomset	NOUN
ijassa-781	274	15	.	.	PUNCT
ijassa-781	275	1	60	60	NUM
ijassa-781	275	2	s.p	s.p	PROPN
ijassa-781	275	3	.	.	PROPN
ijassa-781	275	4	kovalyov	kovalyov	PROPN
ijassa-781	275	5	copyright	copyright	NOUN
ijassa-781	275	6	©	©	PROPN
ijassa-781	275	7	2020	2020	NUM
ijassa-781	275	8	assa	assa	PROPN
ijassa-781	275	9	adv	adv	PROPN
ijassa-781	275	10	.	.	PUNCT
ijassa-781	276	1	in	in	ADP
ijassa-781	276	2	systems	system	NOUN
ijassa-781	276	3	science	science	NOUN
ijassa-781	276	4	and	and	CCONJ
ijassa-781	276	5	appl	appl	NOUN
ijassa-781	276	6	.	.	PUNCT
ijassa-781	277	1	(	(	PUNCT
ijassa-781	277	2	2020	2020	NUM
ijassa-781	277	3	)	)	PUNCT
ijassa-781	277	4	fig	fig	NOUN
ijassa-781	277	5	.	.	PUNCT
ijassa-781	278	1	5	5	X
ijassa-781	278	2	.	.	X
ijassa-781	278	3	constructing	construct	VERB
ijassa-781	278	4	a	a	DET
ijassa-781	278	5	production	production	NOUN
ijassa-781	278	6	process	process	NOUN
ijassa-781	278	7	simulation	simulation	NOUN
ijassa-781	278	8	via	via	ADP
ijassa-781	278	9	a	a	DET
ijassa-781	278	10	colimit	colimit	NOUN
ijassa-781	278	11	we	we	PRON
ijassa-781	278	12	conclude	conclude	VERB
ijassa-781	278	13	this	this	DET
ijassa-781	278	14	section	section	NOUN
ijassa-781	278	15	with	with	ADP
ijassa-781	278	16	the	the	DET
ijassa-781	278	17	following	follow	VERB
ijassa-781	278	18	remarks	remark	NOUN
ijassa-781	278	19	.	.	PUNCT
ijassa-781	279	1	a	a	DET
ijassa-781	279	2	colimit	colimit	NOUN
ijassa-781	279	3	of	of	ADP
ijassa-781	279	4	an	an	DET
ijassa-781	279	5	arbitrary	arbitrary	ADJ
ijassa-781	279	6	diagram	diagram	NOUN
ijassa-781	279	7			NOUN
ijassa-781	279	8	is	be	AUX
ijassa-781	279	9	unique	unique	ADJ
ijassa-781	279	10	up	up	ADP
ijassa-781	279	11	to	to	ADP
ijassa-781	279	12	an	an	DET
ijassa-781	279	13	isomorphism	isomorphism	NOUN
ijassa-781	279	14	provided	provide	VERB
ijassa-781	279	15	that	that	SCONJ
ijassa-781	279	16	it	it	PRON
ijassa-781	279	17	exists	exist	VERB
ijassa-781	279	18	:	:	PUNCT
ijassa-781	279	19	a	a	DET
ijassa-781	279	20	cocone	cocone	NOUN
ijassa-781	279	21	of	of	ADP
ijassa-781	279	22	the	the	DET
ijassa-781	279	23	kind	kind	NOUN
ijassa-781	279	24	┌	┌	PROPN
ijassa-781	279	25	i	i	NOUN
ijassa-781	279	26	┐	┐	PROPN
ijassa-781	279	27	◦	◦	NOUN
ijassa-781	279	28	colim	colim	NOUN
ijassa-781	279	29			PUNCT
ijassa-781	279	30	is	be	AUX
ijassa-781	279	31	a	a	DET
ijassa-781	279	32	colimit	colimit	NOUN
ijassa-781	279	33	of	of	ADP
ijassa-781	279	34			NOUN
ijassa-781	279	35	if	if	SCONJ
ijassa-781	280	1	and	and	CCONJ
ijassa-781	280	2	only	only	ADV
ijassa-781	280	3	if	if	SCONJ
ijassa-781	280	4	i	i	PRON
ijassa-781	280	5	is	be	AUX
ijassa-781	280	6	a	a	DET
ijassa-781	280	7	c	c	NOUN
ijassa-781	280	8	-	-	PUNCT
ijassa-781	280	9	isomorphism	isomorphism	NOUN
ijassa-781	280	10	.	.	PUNCT
ijassa-781	281	1	moreover	moreover	ADV
ijassa-781	281	2	,	,	PUNCT
ijassa-781	281	3	colimits	colimit	NOUN
ijassa-781	281	4	allow	allow	VERB
ijassa-781	281	5	to	to	PART
ijassa-781	281	6	represent	represent	VERB
ijassa-781	281	7	assembling	assemble	VERB
ijassa-781	281	8	products	product	NOUN
ijassa-781	281	9	from	from	ADP
ijassa-781	281	10	configurations	configuration	NOUN
ijassa-781	281	11	as	as	ADP
ijassa-781	281	12	a	a	DET
ijassa-781	281	13	functor	functor	NOUN
ijassa-781	281	14	.	.	PUNCT
ijassa-781	282	1	still	still	ADV
ijassa-781	282	2	further	far	ADV
ijassa-781	282	3	,	,	PUNCT
ijassa-781	282	4	the	the	DET
ijassa-781	282	5	construction	construction	NOUN
ijassa-781	282	6	of	of	ADP
ijassa-781	282	7	the	the	DET
ijassa-781	282	8	category	category	NOUN
ijassa-781	282	9	of	of	ADP
ijassa-781	282	10	diagrams	diagram	NOUN
ijassa-781	282	11	dc	dc	PROPN
ijassa-781	282	12	induces	induce	VERB
ijassa-781	282	13	a	a	DET
ijassa-781	282	14	monad	monad	PROPN
ijassa-781	282	15	in	in	ADP
ijassa-781	282	16	cat	cat	NOUN
ijassa-781	282	17	whose	whose	DET
ijassa-781	282	18	associated	associated	ADJ
ijassa-781	282	19	category	category	NOUN
ijassa-781	282	20	of	of	ADP
ijassa-781	282	21	algebras	algebras	PROPN
ijassa-781	282	22	contains	contain	VERB
ijassa-781	282	23	instances	instance	NOUN
ijassa-781	282	24	of	of	ADP
ijassa-781	282	25	the	the	DET
ijassa-781	282	26	colimit	colimit	NOUN
ijassa-781	282	27	functor	functor	NOUN
ijassa-781	282	28	and	and	CCONJ
ijassa-781	282	29	other	other	ADJ
ijassa-781	282	30	functors	functor	NOUN
ijassa-781	282	31	that	that	PRON
ijassa-781	282	32	are	be	AUX
ijassa-781	282	33	relevant	relevant	ADJ
ijassa-781	282	34	for	for	ADP
ijassa-781	282	35	mathematical	mathematical	ADJ
ijassa-781	282	36	framework	framework	NOUN
ijassa-781	282	37	of	of	ADP
ijassa-781	282	38	mbse	mbse	NOUN
ijassa-781	282	39	.	.	PUNCT
ijassa-781	283	1	therefore	therefore	ADV
ijassa-781	283	2	,	,	PUNCT
ijassa-781	283	3	this	this	DET
ijassa-781	283	4	monad	monad	PROPN
ijassa-781	283	5	is	be	AUX
ijassa-781	283	6	regarded	regard	VERB
ijassa-781	283	7	as	as	ADP
ijassa-781	283	8	the	the	DET
ijassa-781	283	9	mbse	mbse	NOUN
ijassa-781	283	10	metamodel	metamodel	NOUN
ijassa-781	283	11	[	[	X
ijassa-781	283	12	10	10	NUM
ijassa-781	283	13	]	]	PUNCT
ijassa-781	283	14	.	.	PUNCT
ijassa-781	284	1	4	4	X
ijassa-781	284	2	.	.	X
ijassa-781	284	3	inverse	inverse	NOUN
ijassa-781	284	4	assembly	assembly	NOUN
ijassa-781	284	5	problems	problem	NOUN
ijassa-781	284	6	and	and	CCONJ
ijassa-781	284	7	solutions	solution	NOUN
ijassa-781	284	8	to	to	PART
ijassa-781	284	9	explore	explore	VERB
ijassa-781	284	10	inverse	inverse	NOUN
ijassa-781	284	11	product	product	NOUN
ijassa-781	284	12	assembly	assembly	NOUN
ijassa-781	284	13	problems	problem	NOUN
ijassa-781	284	14	,	,	PUNCT
ijassa-781	284	15	the	the	DET
ijassa-781	284	16	following	follow	VERB
ijassa-781	284	17	technical	technical	ADJ
ijassa-781	284	18	concept	concept	NOUN
ijassa-781	284	19	of	of	ADP
ijassa-781	284	20	a	a	DET
ijassa-781	284	21	subcocone	subcocone	NOUN
ijassa-781	284	22	is	be	AUX
ijassa-781	284	23	needed	need	VERB
ijassa-781	284	24	.	.	PUNCT
ijassa-781	285	1	a	a	DET
ijassa-781	285	2	cocone	cocone	NOUN
ijassa-781	285	3			NUM
ijassa-781	285	4	is	be	AUX
ijassa-781	285	5	called	call	VERB
ijassa-781	285	6	a	a	DET
ijassa-781	285	7	subcocone	subcocone	NOUN
ijassa-781	285	8	of	of	ADP
ijassa-781	285	9	a	a	DET
ijassa-781	285	10	cocone	cocone	ADJ
ijassa-781	285	11			NOUN
ijassa-781	285	12	if	if	SCONJ
ijassa-781	285	13	there	there	PRON
ijassa-781	285	14	exists	exist	VERB
ijassa-781	285	15	a	a	DET
ijassa-781	285	16	dc	dc	PROPN
ijassa-781	285	17	-	-	PUNCT
ijassa-781	285	18	morphism	morphism	NOUN
ijassa-781	285	19			PROPN
ijassa-781	285	20	,	,	PUNCT
ijassa-781	285	21	iy	iy	PUNCT
ijassa-781	285	22	:	:	PUNCT
ijassa-781	285	23	dom	dom	NOUN
ijassa-781	285	24			NUM
ijassa-781	285	25			NOUN
ijassa-781	285	26	dom	dom	NOUN
ijassa-781	285	27			PROPN
ijassa-781	285	28	such	such	ADJ
ijassa-781	285	29	that	that	SCONJ
ijassa-781	285	30	the	the	DET
ijassa-781	285	31	natural	natural	ADJ
ijassa-781	285	32	transformation	transformation	NOUN
ijassa-781	285	33			NOUN
ijassa-781	285	34	consists	consist	VERB
ijassa-781	285	35	of	of	ADP
ijassa-781	285	36	identity	identity	NOUN
ijassa-781	285	37	c	c	NOUN
ijassa-781	285	38	-	-	PUNCT
ijassa-781	285	39	morphisms	morphism	NOUN
ijassa-781	285	40	,	,	PUNCT
ijassa-781	285	41	the	the	DET
ijassa-781	285	42	functor	functor	PROPN
ijassa-781	285	43	iy	iy	PROPN
ijassa-781	285	44	is	be	AUX
ijassa-781	285	45	injective	injective	ADJ
ijassa-781	285	46	,	,	PUNCT
ijassa-781	285	47	and	and	CCONJ
ijassa-781	285	48			PROPN
ijassa-781	285	49	◦	◦	NOUN
ijassa-781	285	50			ADJ
ijassa-781	285	51	,	,	PUNCT
ijassa-781	285	52	iy	iy	PUNCT
ijassa-781	285	53	=	=	SYM
ijassa-781	285	54	.	.	CCONJ
ijassa-781	285	55	the	the	DET
ijassa-781	285	56	inverse	inverse	NOUN
ijassa-781	285	57	problem	problem	NOUN
ijassa-781	285	58	is	be	AUX
ijassa-781	285	59	stated	state	VERB
ijassa-781	285	60	mathematically	mathematically	ADV
ijassa-781	285	61	as	as	SCONJ
ijassa-781	285	62	follows	follow	VERB
ijassa-781	285	63	.	.	PUNCT
ijassa-781	286	1	given	give	VERB
ijassa-781	286	2	a	a	DET
ijassa-781	286	3	cocone	cocone	NOUN
ijassa-781	286	4			NUM
ijassa-781	286	5	(	(	PUNCT
ijassa-781	286	6	that	that	PRON
ijassa-781	286	7	represents	represent	VERB
ijassa-781	286	8	the	the	DET
ijassa-781	286	9	known	know	VERB
ijassa-781	286	10	fragment	fragment	NOUN
ijassa-781	286	11	of	of	ADP
ijassa-781	286	12	the	the	DET
ijassa-781	286	13	target	target	NOUN
ijassa-781	286	14	product	product	NOUN
ijassa-781	286	15	structure	structure	NOUN
ijassa-781	286	16	)	)	PUNCT
ijassa-781	286	17	and	and	CCONJ
ijassa-781	286	18	a	a	DET
ijassa-781	286	19	class	class	NOUN
ijassa-781	286	20	cd	cd	NOUN
ijassa-781	286	21	of	of	ADP
ijassa-781	286	22	diagrams	diagram	NOUN
ijassa-781	286	23	(	(	PUNCT
ijassa-781	286	24	that	that	PRON
ijassa-781	286	25	represents	represent	VERB
ijassa-781	286	26	the	the	DET
ijassa-781	286	27	space	space	NOUN
ijassa-781	286	28	of	of	ADP
ijassa-781	286	29	all	all	DET
ijassa-781	286	30	practically	practically	ADV
ijassa-781	286	31	feasible	feasible	ADJ
ijassa-781	286	32	configurations	configuration	NOUN
ijassa-781	286	33	)	)	PUNCT
ijassa-781	286	34	,	,	PUNCT
ijassa-781	286	35	evaluate	evaluate	VERB
ijassa-781	286	36	the	the	DET
ijassa-781	286	37	subclass	subclass	ADJ
ijassa-781	286	38	cds	cd	NOUN
ijassa-781	286	39			PROPN
ijassa-781	286	40	cd	cd	PROPN
ijassa-781	286	41	consisting	consist	VERB
ijassa-781	286	42	of	of	ADP
ijassa-781	286	43	all	all	DET
ijassa-781	286	44	diagrams	diagram	NOUN
ijassa-781	286	45	from	from	ADP
ijassa-781	286	46	cd	cd	PROPN
ijassa-781	286	47	with	with	ADP
ijassa-781	286	48	a	a	DET
ijassa-781	286	49	colimit	colimit	NOUN
ijassa-781	286	50	that	that	PRON
ijassa-781	286	51	contains	contain	VERB
ijassa-781	286	52			NUM
ijassa-781	286	53	as	as	ADP
ijassa-781	286	54	a	a	DET
ijassa-781	286	55	subcocone	subcocone	NOUN
ijassa-781	286	56	.	.	PUNCT
ijassa-781	287	1	the	the	DET
ijassa-781	287	2	subclass	subclass	ADJ
ijassa-781	287	3	cds	cd	NOUN
ijassa-781	287	4	is	be	AUX
ijassa-781	287	5	precisely	precisely	ADV
ijassa-781	287	6	the	the	DET
ijassa-781	287	7	assembly	assembly	NOUN
ijassa-781	287	8	design	design	NOUN
ijassa-781	287	9	space	space	NOUN
ijassa-781	287	10	across	across	ADP
ijassa-781	287	11	which	which	PRON
ijassa-781	287	12	(	(	PUNCT
ijassa-781	287	13	sub-	sub-	ADJ
ijassa-781	287	14	,	,	PUNCT
ijassa-781	287	15	pareto-	pareto-	ADJ
ijassa-781	287	16	)	)	PUNCT
ijassa-781	287	17	optimal	optimal	ADJ
ijassa-781	287	18	configurations	configuration	NOUN
ijassa-781	287	19	are	be	AUX
ijassa-781	287	20	sought	seek	VERB
ijassa-781	287	21	.	.	PUNCT
ijassa-781	288	1	category	category	NOUN
ijassa-781	288	2	theory	theory	NOUN
ijassa-781	288	3	may	may	AUX
ijassa-781	288	4	improve	improve	VERB
ijassa-781	288	5	the	the	DET
ijassa-781	288	6	search	search	NOUN
ijassa-781	288	7	as	as	SCONJ
ijassa-781	288	8	follows	follow	VERB
ijassa-781	288	9	.	.	PUNCT
ijassa-781	289	1	let	let	VERB
ijassa-781	289	2	q	q	PRON
ijassa-781	289	3	be	be	AUX
ijassa-781	289	4	a	a	DET
ijassa-781	289	5	linearly	linearly	ADV
ijassa-781	289	6	ordered	order	VERB
ijassa-781	289	7	set	set	VERB
ijassa-781	289	8	in	in	ADP
ijassa-781	289	9	which	which	PRON
ijassa-781	289	10	some	some	DET
ijassa-781	289	11	search	search	NOUN
ijassa-781	289	12	objective	objective	ADJ
ijassa-781	289	13	function	function	NOUN
ijassa-781	289	14	takes	take	VERB
ijassa-781	289	15	values	value	NOUN
ijassa-781	289	16	(	(	PUNCT
ijassa-781	289	17	most	most	ADV
ijassa-781	289	18	often	often	ADV
ijassa-781	289	19	,	,	PUNCT
ijassa-781	289	20	q	q	X
ijassa-781	289	21	is	be	AUX
ijassa-781	289	22	the	the	DET
ijassa-781	289	23	set	set	NOUN
ijassa-781	289	24	of	of	ADP
ijassa-781	289	25	all	all	DET
ijassa-781	289	26	real	real	ADJ
ijassa-781	289	27	or	or	CCONJ
ijassa-781	289	28	integer	integer	NOUN
ijassa-781	289	29	numbers	number	NOUN
ijassa-781	289	30	)	)	PUNCT
ijassa-781	289	31	.	.	PUNCT
ijassa-781	290	1	obviously	obviously	ADV
ijassa-781	290	2	,	,	PUNCT
ijassa-781	290	3	q	q	PROPN
ijassa-781	290	4	can	can	AUX
ijassa-781	290	5	be	be	AUX
ijassa-781	290	6	regarded	regard	VERB
ijassa-781	290	7	as	as	ADP
ijassa-781	290	8	a	a	DET
ijassa-781	290	9	category	category	NOUN
ijassa-781	290	10	,	,	PUNCT
ijassa-781	290	11	since	since	SCONJ
ijassa-781	290	12	any	any	DET
ijassa-781	290	13	ordered	order	VERB
ijassa-781	290	14	set	set	NOUN
ijassa-781	290	15	can	can	AUX
ijassa-781	290	16	be	be	AUX
ijassa-781	290	17	depicted	depict	VERB
ijassa-781	290	18	as	as	ADP
ijassa-781	290	19	a	a	DET
ijassa-781	290	20	directed	direct	VERB
ijassa-781	290	21	graph	graph	NOUN
ijassa-781	290	22	.	.	PUNCT
ijassa-781	291	1	of	of	ADP
ijassa-781	291	2	particular	particular	ADJ
ijassa-781	291	3	interest	interest	NOUN
ijassa-781	291	4	is	be	AUX
ijassa-781	291	5	the	the	DET
ijassa-781	291	6	situation	situation	NOUN
ijassa-781	291	7	where	where	SCONJ
ijassa-781	291	8	the	the	DET
ijassa-781	291	9	objective	objective	ADJ
ijassa-781	291	10	function	function	NOUN
ijassa-781	291	11	acts	act	VERB
ijassa-781	291	12	as	as	ADP
ijassa-781	291	13	an	an	DET
ijassa-781	291	14	object	object	NOUN
ijassa-781	291	15	function	function	NOUN
ijassa-781	291	16	of	of	ADP
ijassa-781	291	17	a	a	DET
ijassa-781	291	18	functor	functor	NOUN
ijassa-781	291	19	that	that	PRON
ijassa-781	291	20	takes	take	VERB
ijassa-781	291	21	values	value	NOUN
ijassa-781	291	22	in	in	ADP
ijassa-781	291	23	the	the	DET
ijassa-781	291	24	category	category	NOUN
ijassa-781	291	25	q	q	NOUN
ijassa-781	291	26	and	and	CCONJ
ijassa-781	291	27	arguments	argument	NOUN
ijassa-781	291	28	in	in	ADP
ijassa-781	291	29	a	a	DET
ijassa-781	291	30	subcategory	subcategory	NOUN
ijassa-781	291	31	of	of	ADP
ijassa-781	291	32	dc	dc	PROPN
ijassa-781	291	33	(	(	PUNCT
ijassa-781	291	34	or	or	CCONJ
ijassa-781	291	35	of	of	ADP
ijassa-781	291	36	the	the	DET
ijassa-781	291	37	dual	dual	ADJ
ijassa-781	291	38	category	category	NOUN
ijassa-781	291	39	(	(	PUNCT
ijassa-781	291	40	dc)op	dc)op	NOUN
ijassa-781	291	41	)	)	PUNCT
ijassa-781	291	42	which	which	PRON
ijassa-781	291	43	has	have	VERB
ijassa-781	291	44	cds	cd	NOUN
ijassa-781	291	45	as	as	ADP
ijassa-781	291	46	class	class	NOUN
ijassa-781	291	47	of	of	ADP
ijassa-781	291	48	objects	object	NOUN
ijassa-781	291	49	and	and	CCONJ
ijassa-781	291	50	enough	enough	ADJ
ijassa-781	291	51	non	non	ADJ
ijassa-781	291	52	-	-	ADJ
ijassa-781	291	53	identity	identity	ADJ
ijassa-781	291	54	morphisms	morphism	NOUN
ijassa-781	291	55	.	.	PUNCT
ijassa-781	292	1	in	in	ADP
ijassa-781	292	2	this	this	DET
ijassa-781	292	3	case	case	NOUN
ijassa-781	292	4	,	,	PUNCT
ijassa-781	292	5	optimization	optimization	NOUN
ijassa-781	292	6	algorithms	algorithm	NOUN
ijassa-781	292	7	of	of	ADP
ijassa-781	292	8	gradient	gradient	ADJ
ijassa-781	292	9	descent	descent	NOUN
ijassa-781	292	10	type	type	NOUN
ijassa-781	292	11	can	can	AUX
ijassa-781	292	12	be	be	AUX
ijassa-781	292	13	employed	employ	VERB
ijassa-781	292	14	,	,	PUNCT
ijassa-781	292	15	which	which	PRON
ijassa-781	292	16	navigate	navigate	VERB
ijassa-781	292	17	along	along	ADP
ijassa-781	292	18	morphisms	morphism	NOUN
ijassa-781	292	19	of	of	ADP
ijassa-781	292	20	this	this	DET
ijassa-781	292	21	subcategory	subcategory	NOUN
ijassa-781	292	22	,	,	PUNCT
ijassa-781	292	23	calculating	calculate	VERB
ijassa-781	292	24	the	the	DET
ijassa-781	292	25	path	path	NOUN
ijassa-781	292	26	by	by	ADP
ijassa-781	292	27	means	mean	NOUN
ijassa-781	292	28	of	of	ADP
ijassa-781	292	29	computer	computer	NOUN
ijassa-781	292	30	algebra	algebra	NOUN
ijassa-781	292	31	.	.	PUNCT
ijassa-781	293	1	performant	performant	PROPN
ijassa-781	293	2	computer	computer	NOUN
ijassa-781	293	3	algebra	algebra	NOUN
ijassa-781	293	4	packages	package	NOUN
ijassa-781	293	5	for	for	ADP
ijassa-781	293	6	such	such	ADJ
ijassa-781	293	7	category	category	NOUN
ijassa-781	293	8	theory	theory	NOUN
ijassa-781	293	9	calculations	calculation	NOUN
ijassa-781	293	10	are	be	AUX
ijassa-781	293	11	available	available	ADJ
ijassa-781	293	12	[	[	X
ijassa-781	293	13	20	20	NUM
ijassa-781	293	14	]	]	PUNCT
ijassa-781	293	15	.	.	PUNCT
ijassa-781	294	1	for	for	ADP
ijassa-781	294	2	example	example	NOUN
ijassa-781	294	3	,	,	PUNCT
ijassa-781	294	4	consider	consider	VERB
ijassa-781	294	5	the	the	DET
ijassa-781	294	6	inverse	inverse	NOUN
ijassa-781	294	7	gluing	gluing	NOUN
ijassa-781	294	8	problem	problem	NOUN
ijassa-781	294	9	stated	state	VERB
ijassa-781	294	10	in	in	ADP
ijassa-781	294	11	section	section	NOUN
ijassa-781	294	12	2	2	NUM
ijassa-781	294	13	.	.	PUNCT
ijassa-781	295	1	here	here	ADV
ijassa-781	295	2	,	,	PUNCT
ijassa-781	295	3	the	the	DET
ijassa-781	295	4	class	class	NOUN
ijassa-781	295	5	cd	cd	NOUN
ijassa-781	295	6	from	from	ADP
ijassa-781	295	7	the	the	DET
ijassa-781	295	8	general	general	ADJ
ijassa-781	295	9	configuration	configuration	NOUN
ijassa-781	295	10	recovery	recovery	NOUN
ijassa-781	295	11	problem	problem	NOUN
ijassa-781	295	12	statement	statement	NOUN
ijassa-781	295	13	consists	consist	VERB
ijassa-781	295	14	of	of	ADP
ijassa-781	295	15	all	all	DET
ijassa-781	295	16	m	m	ADV
ijassa-781	295	17	-	-	PUNCT
ijassa-781	295	18	shaped	shape	VERB
ijassa-781	295	19	diagrams	diagram	NOUN
ijassa-781	295	20	with	with	ADP
ijassa-781	295	21	a	a	DET
ijassa-781	295	22	colimit	colimit	NOUN
ijassa-781	295	23	in	in	ADP
ijassa-781	295	24	c.	c.	PROPN
ijassa-781	295	25	the	the	DET
ijassa-781	295	26	cocone	cocone	NOUN
ijassa-781	295	27			PROPN
ijassa-781	295	28	can	can	AUX
ijassa-781	295	29	easily	easily	ADV
ijassa-781	295	30	be	be	AUX
ijassa-781	295	31	reconstructed	reconstruct	VERB
ijassa-781	295	32	from	from	ADP
ijassa-781	295	33	the	the	DET
ijassa-781	295	34	product	product	NOUN
ijassa-781	295	35	structure	structure	NOUN
ijassa-781	295	36	presented	present	VERB
ijassa-781	295	37	in	in	ADP
ijassa-781	295	38	fig	fig	NOUN
ijassa-781	295	39	.	.	PUNCT
ijassa-781	296	1	2	2	NUM
ijassa-781	296	2	above	above	ADP
ijassa-781	297	1	:	:	PUNCT
ijassa-781	297	2	the	the	DET
ijassa-781	297	3	cocone	cocone	NOUN
ijassa-781	297	4	base	base	NOUN
ijassa-781	297	5	is	be	AUX
ijassa-781	297	6	the	the	DET
ijassa-781	297	7	diagram	diagram	NOUN
ijassa-781	297	8			NOUN
ijassa-781	297	9	:	:	PUNCT
ijassa-781	297	10	a	a	DET
ijassa-781	297	11	↦	↦	PROPN
ijassa-781	297	12	p	p	X
ijassa-781	297	13	,	,	PUNCT
ijassa-781	297	14	a	a	PRON
ijassa-781	297	15	'	'	PUNCT
ijassa-781	297	16	↦	↦	PROPN
ijassa-781	297	17	s	s	PROPN
ijassa-781	297	18	with	with	ADP
ijassa-781	297	19	the	the	DET
ijassa-781	297	20	two	two	NUM
ijassa-781	297	21	-	-	PUNCT
ijassa-781	297	22	vertex	vertex	NOUN
ijassa-781	297	23	discrete	discrete	ADJ
ijassa-781	297	24	shape	shape	NOUN
ijassa-781	297	25	{	{	PUNCT
ijassa-781	297	26	a	a	NOUN
ijassa-781	297	27	,	,	PUNCT
ijassa-781	297	28	a	a	DET
ijassa-781	297	29	'	'	PUNCT
ijassa-781	297	30	}	}	PUNCT
ijassa-781	297	31			PROPN
ijassa-781	297	32	m	m	PROPN
ijassa-781	297	33	,	,	PUNCT
ijassa-781	297	34	and	and	CCONJ
ijassa-781	297	35	the	the	DET
ijassa-781	297	36	cocone	cocone	NOUN
ijassa-781	297	37	vertex	vertex	NOUN
ijassa-781	297	38	is	be	AUX
ijassa-781	297	39	the	the	DET
ijassa-781	297	40	target	target	NOUN
ijassa-781	297	41	product	product	NOUN
ijassa-781	297	42	r	r	NOUN
ijassa-781	297	43	,	,	PUNCT
ijassa-781	297	44	so	so	ADV
ijassa-781	297	45	the	the	DET
ijassa-781	297	46	cocone	cocone	NOUN
ijassa-781	297	47	is	be	AUX
ijassa-781	297	48	specified	specify	VERB
ijassa-781	297	49	as	as	ADP
ijassa-781	297	50	a	a	DET
ijassa-781	297	51	pair	pair	NOUN
ijassa-781	297	52	of	of	ADP
ijassa-781	297	53	c	c	NOUN
ijassa-781	297	54	-	-	PUNCT
ijassa-781	297	55	morphisms	morphism	VERB
ijassa-781	297	56	p	p	NOUN
ijassa-781	297	57	:	:	PUNCT
ijassa-781	297	58	p	p	NOUN
ijassa-781	297	59			PUNCT
ijassa-781	297	60	r	r	NOUN
ijassa-781	297	61			NOUN
ijassa-781	297	62	s	s	VERB
ijassa-781	297	63	:	:	PUNCT
ijassa-781	297	64	s.	s.	PROPN
ijassa-781	297	65	this	this	DET
ijassa-781	297	66	problem	problem	NOUN
ijassa-781	297	67	is	be	AUX
ijassa-781	297	68	solved	solve	VERB
ijassa-781	297	69	as	as	SCONJ
ijassa-781	297	70	follows	follow	VERB
ijassa-781	297	71	.	.	PUNCT
ijassa-781	298	1	proposition	proposition	NOUN
ijassa-781	298	2	1	1	NUM
ijassa-781	298	3	:	:	PUNCT
ijassa-781	298	4	for	for	ADP
ijassa-781	298	5	any	any	DET
ijassa-781	298	6	c	c	NOUN
ijassa-781	298	7	-	-	PUNCT
ijassa-781	298	8	objects	object	VERB
ijassa-781	298	9	p	p	X
ijassa-781	298	10	,	,	PUNCT
ijassa-781	298	11	s	s	X
ijassa-781	298	12	,	,	PUNCT
ijassa-781	298	13	r	r	NOUN
ijassa-781	298	14	and	and	CCONJ
ijassa-781	298	15	any	any	DET
ijassa-781	298	16	pair	pair	NOUN
ijassa-781	298	17	of	of	ADP
ijassa-781	298	18	c	c	NOUN
ijassa-781	298	19	-	-	PUNCT
ijassa-781	298	20	morphisms	morphism	VERB
ijassa-781	298	21	p	p	NOUN
ijassa-781	298	22	:	:	PUNCT
ijassa-781	298	23	p	p	NOUN
ijassa-781	298	24			PUNCT
ijassa-781	298	25	r	r	NOUN
ijassa-781	298	26			NOUN
ijassa-781	298	27	s	s	PART
ijassa-781	298	28	:	:	PUNCT
ijassa-781	298	29	s	s	X
ijassa-781	298	30	,	,	PUNCT
ijassa-781	298	31	there	there	PRON
ijassa-781	298	32	exists	exist	VERB
ijassa-781	298	33	a	a	DET
ijassa-781	298	34	diagram	diagram	NOUN
ijassa-781	298	35			NOUN
ijassa-781	298	36	:	:	PUNCT
ijassa-781	298	37	m	m	VERB
ijassa-781	298	38			NOUN
ijassa-781	298	39	c	c	VERB
ijassa-781	298	40	with	with	ADP
ijassa-781	298	41	a	a	DET
ijassa-781	298	42	colimit	colimit	NOUN
ijassa-781	298	43			ADP
ijassa-781	298	44	,	,	PUNCT
ijassa-781	298	45	!	!	PUNCT
ijassa-781	299	1	m	m	ADJ
ijassa-781	299	2	:	:	PUNCT
ijassa-781	299	3			X
ijassa-781	299	4			PROPN
ijassa-781	299	5	┌	┌	VERB
ijassa-781	299	6	r	r	NOUN
ijassa-781	299	7	┐	┐	PROPN
ijassa-781	299	8	that	that	PRON
ijassa-781	299	9	satisfies	satisfy	VERB
ijassa-781	299	10	the	the	DET
ijassa-781	299	11	equalities	equality	NOUN
ijassa-781	299	12	a	a	PROPN
ijassa-781	299	13	=	=	SYM
ijassa-781	299	14	p	p	PROPN
ijassa-781	299	15	and	and	CCONJ
ijassa-781	299	16	a	a	NUM
ijassa-781	299	17	'	'	PUNCT
ijassa-781	299	18	=	=	PUNCT
ijassa-781	300	1	s.	s.	PROPN
ijassa-781	300	2	this	this	DET
ijassa-781	300	3	diagram	diagram	NOUN
ijassa-781	300	4	is	be	AUX
ijassa-781	300	5	unique	unique	ADJ
ijassa-781	300	6	up	up	ADP
ijassa-781	300	7	to	to	ADP
ijassa-781	300	8	a	a	DET
ijassa-781	300	9	dc	dc	PROPN
ijassa-781	300	10	-	-	PUNCT
ijassa-781	300	11	isomorphism	isomorphism	NOUN
ijassa-781	300	12	if	if	SCONJ
ijassa-781	300	13	and	and	CCONJ
ijassa-781	300	14	only	only	ADV
ijassa-781	300	15	if	if	SCONJ
ijassa-781	300	16	the	the	DET
ijassa-781	300	17	pair	pair	NOUN
ijassa-781	300	18	consists	consist	VERB
ijassa-781	300	19	of	of	ADP
ijassa-781	300	20	isomorphisms	isomorphism	NOUN
ijassa-781	300	21	and	and	CCONJ
ijassa-781	300	22	every	every	DET
ijassa-781	300	23	epimorphism	epimorphism	NOUN
ijassa-781	300	24	with	with	ADP
ijassa-781	300	25	the	the	DET
ijassa-781	300	26	codomain	codomain	ADJ
ijassa-781	300	27	r	r	NOUN
ijassa-781	300	28	is	be	AUX
ijassa-781	300	29	an	an	DET
ijassa-781	300	30	isomorphism	isomorphism	NOUN
ijassa-781	300	31	.	.	PUNCT
ijassa-781	301	1	proof	proof	NOUN
ijassa-781	301	2	.	.	PUNCT
ijassa-781	302	1	construct	construct	VERB
ijassa-781	302	2	a	a	DET
ijassa-781	302	3	desired	desire	VERB
ijassa-781	302	4	diagram	diagram	NOUN
ijassa-781	302	5			NOUN
ijassa-781	302	6	in	in	ADP
ijassa-781	302	7	two	two	NUM
ijassa-781	302	8	steps	step	NOUN
ijassa-781	302	9	.	.	PUNCT
ijassa-781	303	1	first	first	ADV
ijassa-781	303	2	,	,	PUNCT
ijassa-781	303	3	choose	choose	VERB
ijassa-781	303	4	an	an	DET
ijassa-781	303	5	arbitrary	arbitrary	ADJ
ijassa-781	303	6	factorization	factorization	NOUN
ijassa-781	303	7	of	of	ADP
ijassa-781	303	8	the	the	DET
ijassa-781	303	9	kind	kind	NOUN
ijassa-781	303	10	p	p	NOUN
ijassa-781	303	11	=	=	NOUN
ijassa-781	303	12	o	o	X
ijassa-781	303	13	◦	◦	NOUN
ijassa-781	303	14	q	q	PUNCT
ijassa-781	303	15	in	in	ADP
ijassa-781	303	16	order	order	NOUN
ijassa-781	303	17	to	to	PART
ijassa-781	303	18	label	label	VERB
ijassa-781	303	19	the	the	DET
ijassa-781	303	20	outer	outer	ADJ
ijassa-781	303	21	arrow	arrow	NOUN
ijassa-781	303	22	a	a	DET
ijassa-781	303	23			NOUN
ijassa-781	303	24	b	b	NOUN
ijassa-781	303	25	of	of	ADP
ijassa-781	303	26			NOUN
ijassa-781	303	27	by	by	ADP
ijassa-781	303	28	the	the	DET
ijassa-781	303	29	morphism	morphism	PROPN
ijassa-781	303	30	q	q	PROPN
ijassa-781	303	31	,	,	PUNCT
ijassa-781	303	32	along	along	ADP
ijassa-781	303	33	with	with	ADP
ijassa-781	303	34	the	the	DET
ijassa-781	303	35	similar	similar	ADJ
ijassa-781	303	36	factorization	factorization	NOUN
ijassa-781	303	37	s	s	PART
ijassa-781	303	38	=	=	ADJ
ijassa-781	303	39	o	o	NOUN
ijassa-781	303	40	'	'	PUNCT
ijassa-781	303	41	◦	◦	NOUN
ijassa-781	303	42	q	q	NOUN
ijassa-781	303	43	'	'	PUNCT
ijassa-781	303	44	.	.	PUNCT
ijassa-781	304	1	second	second	ADV
ijassa-781	304	2	,	,	PUNCT
ijassa-781	304	3	having	have	VERB
ijassa-781	304	4	that	that	PRON
ijassa-781	304	5	,	,	PUNCT
ijassa-781	304	6	as	as	SCONJ
ijassa-781	304	7	established	establish	VERB
ijassa-781	304	8	in	in	ADP
ijassa-781	304	9	section	section	NOUN
ijassa-781	304	10	3	3	NUM
ijassa-781	304	11	by	by	ADP
ijassa-781	304	12	theorem	theorem	NOUN
ijassa-781	304	13	1	1	NUM
ijassa-781	304	14	,	,	PUNCT
ijassa-781	304	15	a	a	DET
ijassa-781	304	16	colimit	colimit	NOUN
ijassa-781	304	17	of	of	ADP
ijassa-781	304	18	an	an	DET
ijassa-781	304	19	m	m	ADV
ijassa-781	304	20	-	-	PUNCT
ijassa-781	304	21	shaped	shape	VERB
ijassa-781	304	22	diagram	diagram	NOUN
ijassa-781	304	23	amounts	amount	VERB
ijassa-781	304	24	to	to	ADP
ijassa-781	304	25	a	a	DET
ijassa-781	304	26	pushout	pushout	NOUN
ijassa-781	304	27	,	,	PUNCT
ijassa-781	304	28	find	find	VERB
ijassa-781	304	29	a	a	DET
ijassa-781	304	30	diagram	diagram	NOUN
ijassa-781	304	31			NOUN
ijassa-781	304	32	:	:	PUNCT
ijassa-781	304	33	v	v	X
ijassa-781	304	34			NOUN
ijassa-781	304	35	c	c	NOUN
ijassa-781	305	1	that	that	PRON
ijassa-781	305	2	has	have	VERB
ijassa-781	305	3	a	a	DET
ijassa-781	305	4	pushout	pushout	NOUN
ijassa-781	305	5	specified	specify	VERB
ijassa-781	305	6	by	by	ADP
ijassa-781	305	7	edges	edge	NOUN
ijassa-781	305	8	o	o	NOUN
ijassa-781	305	9	and	and	CCONJ
ijassa-781	305	10	o	o	NOUN
ijassa-781	305	11	'	'	X
ijassa-781	305	12	,	,	PUNCT
ijassa-781	305	13	and	and	CCONJ
ijassa-781	305	14	use	use	VERB
ijassa-781	305	15	it	it	PRON
ijassa-781	305	16	to	to	PART
ijassa-781	305	17	label	label	VERB
ijassa-781	305	18	two	two	NUM
ijassa-781	305	19	central	central	ADJ
ijassa-781	305	20	arrows	arrow	NOUN
ijassa-781	305	21	of	of	ADP
ijassa-781	305	22			PUNCT
ijassa-781	305	23	(	(	PUNCT
ijassa-781	305	24	i.e.	i.e.	X
ijassa-781	305	25	,	,	PUNCT
ijassa-781	305	26	to	to	PART
ijassa-781	305	27	satisfy	satisfy	VERB
ijassa-781	305	28	the	the	DET
ijassa-781	305	29	equality	equality	NOUN
ijassa-781	305	30			NOUN
ijassa-781	305	31	◦	◦	NOUN
ijassa-781	305	32	iv	iv	NUM
ijassa-781	305	33	=	=	SYM
ijassa-781	305	34			NOUN
ijassa-781	305	35	)	)	PUNCT
ijassa-781	305	36	.	.	PUNCT
ijassa-781	306	1	leveraging	leverage	VERB
ijassa-781	306	2	category	category	NOUN
ijassa-781	306	3	theory	theory	NOUN
ijassa-781	306	4	in	in	ADP
ijassa-781	306	5	model	model	NOUN
ijassa-781	306	6	based	base	VERB
ijassa-781	306	7	enterprise	enterprise	NOUN
ijassa-781	306	8	61	61	NUM
ijassa-781	306	9	copyright	copyright	NOUN
ijassa-781	306	10	©	©	PROPN
ijassa-781	306	11	2020	2020	NUM
ijassa-781	306	12	assa	assa	NOUN
ijassa-781	306	13	.	.	PUNCT
ijassa-781	307	1	adv	adv	PROPN
ijassa-781	307	2	.	.	PUNCT
ijassa-781	308	1	in	in	ADP
ijassa-781	308	2	systems	system	NOUN
ijassa-781	308	3	science	science	NOUN
ijassa-781	308	4	and	and	CCONJ
ijassa-781	308	5	appl	appl	NOUN
ijassa-781	308	6	.	.	PUNCT
ijassa-781	309	1	(	(	PUNCT
ijassa-781	309	2	2020	2020	NUM
ijassa-781	309	3	)	)	PUNCT
ijassa-781	309	4	consider	consider	VERB
ijassa-781	309	5	trivial	trivial	ADJ
ijassa-781	309	6	factorizations	factorization	NOUN
ijassa-781	309	7	with	with	ADP
ijassa-781	309	8	o	o	NOUN
ijassa-781	309	9	=	=	PUNCT
ijassa-781	309	10	o	o	NOUN
ijassa-781	309	11	'	'	PUNCT
ijassa-781	309	12	=	=	NOUN
ijassa-781	309	13	1r	1r	NUM
ijassa-781	309	14	.	.	PUNCT
ijassa-781	310	1	a	a	DET
ijassa-781	310	2	c	c	NOUN
ijassa-781	310	3	-	-	PUNCT
ijassa-781	310	4	morphism	morphism	ADJ
ijassa-781	310	5	e	e	NOUN
ijassa-781	310	6	with	with	ADP
ijassa-781	310	7	the	the	DET
ijassa-781	310	8	codomain	codomain	ADJ
ijassa-781	310	9	r	r	NOUN
ijassa-781	310	10	is	be	AUX
ijassa-781	310	11	an	an	DET
ijassa-781	310	12	epimorphism	epimorphism	NOUN
ijassa-781	310	13	if	if	SCONJ
ijassa-781	310	14	and	and	CCONJ
ijassa-781	310	15	only	only	ADV
ijassa-781	310	16	if	if	SCONJ
ijassa-781	310	17	the	the	DET
ijassa-781	310	18	equality	equality	NOUN
ijassa-781	310	19	1r	1r	NUM
ijassa-781	310	20	◦	◦	NOUN
ijassa-781	310	21	e	e	NOUN
ijassa-781	310	22	=	=	SYM
ijassa-781	310	23	1r	1r	NUM
ijassa-781	310	24	◦	◦	NOUN
ijassa-781	310	25	e	e	NOUN
ijassa-781	310	26	determines	determine	VERB
ijassa-781	310	27	a	a	DET
ijassa-781	310	28	pushout	pushout	NOUN
ijassa-781	310	29	[	[	X
ijassa-781	310	30	18	18	NUM
ijassa-781	310	31	,	,	PUNCT
ijassa-781	310	32	exercise	exercise	VERB
ijassa-781	310	33	iii.4.4	iii.4.4	NOUN
ijassa-781	310	34	]	]	PUNCT
ijassa-781	310	35	.	.	PUNCT
ijassa-781	311	1	hence	hence	ADV
ijassa-781	311	2	,	,	PUNCT
ijassa-781	311	3	we	we	PRON
ijassa-781	311	4	shall	shall	AUX
ijassa-781	311	5	take	take	VERB
ijassa-781	311	6	the	the	DET
ijassa-781	311	7	following	follow	VERB
ijassa-781	311	8	m	m	ADJ
ijassa-781	311	9	-	-	PUNCT
ijassa-781	311	10	shaped	shape	VERB
ijassa-781	311	11	diagram	diagram	NOUN
ijassa-781	311	12	,	,	PUNCT
ijassa-781	311	13	which	which	PRON
ijassa-781	311	14	we	we	PRON
ijassa-781	311	15	will	will	AUX
ijassa-781	311	16	denote	denote	VERB
ijassa-781	311	17	by	by	ADP
ijassa-781	311	18	e	e	PROPN
ijassa-781	311	19	,	,	PUNCT
ijassa-781	311	20	as	as	SCONJ
ijassa-781	311	21			PUNCT
ijassa-781	311	22	provided	provide	VERB
ijassa-781	311	23	that	that	SCONJ
ijassa-781	311	24	e	e	NOUN
ijassa-781	311	25	is	be	AUX
ijassa-781	311	26	an	an	DET
ijassa-781	311	27	epimorphism	epimorphism	NOUN
ijassa-781	311	28	.	.	PUNCT
ijassa-781	312	1	in	in	ADP
ijassa-781	312	2	particular	particular	ADJ
ijassa-781	312	3	,	,	PUNCT
ijassa-781	312	4	with	with	ADP
ijassa-781	312	5	e	e	NOUN
ijassa-781	312	6	=	=	SYM
ijassa-781	312	7	1r	1r	NUM
ijassa-781	312	8	we	we	PRON
ijassa-781	312	9	obtain	obtain	VERB
ijassa-781	312	10	somewhat	somewhat	ADV
ijassa-781	312	11	paradoxical	paradoxical	ADJ
ijassa-781	312	12	formal	formal	ADJ
ijassa-781	312	13	solution	solution	NOUN
ijassa-781	312	14	to	to	ADP
ijassa-781	312	15	the	the	DET
ijassa-781	312	16	glue	glue	NOUN
ijassa-781	312	17	finding	finding	NOUN
ijassa-781	312	18	problem	problem	NOUN
ijassa-781	312	19	:	:	PUNCT
ijassa-781	312	20	if	if	SCONJ
ijassa-781	312	21	the	the	DET
ijassa-781	312	22	complex	complex	ADJ
ijassa-781	312	23	product	product	NOUN
ijassa-781	312	24	r	r	NOUN
ijassa-781	312	25	that	that	PRON
ijassa-781	312	26	includes	include	VERB
ijassa-781	312	27	parts	part	NOUN
ijassa-781	312	28	p	p	NOUN
ijassa-781	312	29	and	and	CCONJ
ijassa-781	312	30	s	s	NOUN
ijassa-781	312	31	is	be	AUX
ijassa-781	312	32	already	already	ADV
ijassa-781	312	33	specified	specify	VERB
ijassa-781	312	34	,	,	PUNCT
ijassa-781	312	35	then	then	ADV
ijassa-781	312	36	let	let	VERB
ijassa-781	312	37	it	it	PRON
ijassa-781	312	38	serve	serve	VERB
ijassa-781	312	39	as	as	ADP
ijassa-781	312	40	a	a	DET
ijassa-781	312	41	glue	glue	NOUN
ijassa-781	312	42	fixing	fix	VERB
ijassa-781	312	43	these	these	DET
ijassa-781	312	44	parts	part	NOUN
ijassa-781	312	45	together	together	ADV
ijassa-781	312	46	!	!	PUNCT
ijassa-781	313	1	if	if	SCONJ
ijassa-781	313	2	p	p	NOUN
ijassa-781	313	3	is	be	AUX
ijassa-781	313	4	not	not	PART
ijassa-781	313	5	an	an	DET
ijassa-781	313	6	isomorphism	isomorphism	NOUN
ijassa-781	313	7	,	,	PUNCT
ijassa-781	313	8	then	then	ADV
ijassa-781	313	9	another	another	DET
ijassa-781	313	10	solution	solution	NOUN
ijassa-781	313	11	(	(	PUNCT
ijassa-781	313	12	non	non	ADJ
ijassa-781	313	13	-	-	ADJ
ijassa-781	313	14	isomorphic	isomorphic	ADJ
ijassa-781	313	15	to	to	ADP
ijassa-781	313	16	the	the	DET
ijassa-781	313	17	above	above	NOUN
ijassa-781	313	18	)	)	PUNCT
ijassa-781	313	19	is	be	AUX
ijassa-781	313	20	obtained	obtain	VERB
ijassa-781	313	21	by	by	ADP
ijassa-781	313	22	changing	change	VERB
ijassa-781	313	23	the	the	DET
ijassa-781	313	24	factorization	factorization	NOUN
ijassa-781	313	25	of	of	ADP
ijassa-781	313	26	p	p	NOUN
ijassa-781	313	27	to	to	ADP
ijassa-781	313	28	another	another	DET
ijassa-781	313	29	trivial	trivial	ADJ
ijassa-781	313	30	one	one	NOUN
ijassa-781	313	31	with	with	ADP
ijassa-781	313	32	q	q	NOUN
ijassa-781	313	33	=	=	SYM
ijassa-781	313	34	1p	1p	NUM
ijassa-781	313	35	,	,	PUNCT
ijassa-781	313	36	so	so	SCONJ
ijassa-781	313	37	that	that	SCONJ
ijassa-781	313	38	the	the	DET
ijassa-781	313	39	part	part	NOUN
ijassa-781	313	40	p	p	NOUN
ijassa-781	313	41	plays	play	VERB
ijassa-781	313	42	the	the	DET
ijassa-781	313	43	role	role	NOUN
ijassa-781	313	44	of	of	ADP
ijassa-781	313	45	a	a	DET
ijassa-781	313	46	glue	glue	NOUN
ijassa-781	313	47	as	as	SCONJ
ijassa-781	313	48	follows	follow	VERB
ijassa-781	313	49	.	.	PUNCT
ijassa-781	314	1	other	other	ADJ
ijassa-781	314	2	pairs	pair	NOUN
ijassa-781	314	3	of	of	ADP
ijassa-781	314	4	morphisms	morphism	NOUN
ijassa-781	314	5	that	that	PRON
ijassa-781	314	6	have	have	VERB
ijassa-781	314	7	a	a	DET
ijassa-781	314	8	pushout	pushout	NOUN
ijassa-781	314	9	specified	specify	VERB
ijassa-781	314	10	by	by	ADP
ijassa-781	314	11	edges	edge	NOUN
ijassa-781	314	12	p	p	NOUN
ijassa-781	314	13	and	and	CCONJ
ijassa-781	314	14	1r	1r	NUM
ijassa-781	314	15	lead	lead	NOUN
ijassa-781	314	16	to	to	ADP
ijassa-781	314	17	other	other	ADJ
ijassa-781	314	18	solutions	solution	NOUN
ijassa-781	314	19	.	.	PUNCT
ijassa-781	315	1	“	"	PUNCT
ijassa-781	315	2	symmetrical	symmetrical	ADJ
ijassa-781	315	3	”	"	PUNCT
ijassa-781	315	4	solutions	solution	NOUN
ijassa-781	315	5	are	be	AUX
ijassa-781	315	6	obtained	obtain	VERB
ijassa-781	315	7	from	from	ADP
ijassa-781	315	8	factorizations	factorization	NOUN
ijassa-781	315	9	with	with	ADP
ijassa-781	315	10	o	o	NOUN
ijassa-781	315	11	=	=	SYM
ijassa-781	315	12	1r	1r	NUM
ijassa-781	315	13	and	and	CCONJ
ijassa-781	315	14	q	q	NOUN
ijassa-781	315	15	'	'	PUNCT
ijassa-781	315	16	=	=	SYM
ijassa-781	315	17	1s	1	NOUN
ijassa-781	315	18	provided	provide	VERB
ijassa-781	315	19	that	that	SCONJ
ijassa-781	315	20	s	s	VERB
ijassa-781	315	21	is	be	AUX
ijassa-781	315	22	not	not	PART
ijassa-781	315	23	an	an	DET
ijassa-781	315	24	isomorphism	isomorphism	NOUN
ijassa-781	315	25	.	.	PUNCT
ijassa-781	316	1	other	other	ADJ
ijassa-781	316	2	factorizations	factorization	NOUN
ijassa-781	316	3	may	may	AUX
ijassa-781	316	4	produce	produce	VERB
ijassa-781	316	5	yet	yet	CCONJ
ijassa-781	316	6	other	other	ADJ
ijassa-781	316	7	solutions	solution	NOUN
ijassa-781	316	8	.	.	PUNCT
ijassa-781	317	1	if	if	SCONJ
ijassa-781	317	2	both	both	DET
ijassa-781	317	3	p	p	NOUN
ijassa-781	317	4	and	and	CCONJ
ijassa-781	317	5	s	s	NOUN
ijassa-781	317	6	are	be	AUX
ijassa-781	317	7	isomorphisms	isomorphism	NOUN
ijassa-781	317	8	,	,	PUNCT
ijassa-781	317	9	then	then	ADV
ijassa-781	317	10	morphisms	morphism	VERB
ijassa-781	317	11	o	o	NOUN
ijassa-781	317	12	and	and	CCONJ
ijassa-781	317	13	o	o	NOUN
ijassa-781	317	14	'	'	PUNCT
ijassa-781	317	15	are	be	AUX
ijassa-781	317	16	epimorphisms	epimorphism	NOUN
ijassa-781	317	17	with	with	ADP
ijassa-781	317	18	the	the	DET
ijassa-781	317	19	codomain	codomain	ADJ
ijassa-781	317	20	r	r	NOUN
ijassa-781	318	1	[	[	X
ijassa-781	318	2	21	21	NUM
ijassa-781	318	3	,	,	PUNCT
ijassa-781	318	4	proposition	proposition	NOUN
ijassa-781	318	5	7.42	7.42	NUM
ijassa-781	318	6	]	]	PUNCT
ijassa-781	318	7	.	.	PUNCT
ijassa-781	319	1	if	if	SCONJ
ijassa-781	319	2	any	any	DET
ijassa-781	319	3	such	such	ADJ
ijassa-781	319	4	epimorphism	epimorphism	NOUN
ijassa-781	319	5	is	be	AUX
ijassa-781	319	6	an	an	DET
ijassa-781	319	7	iso	iso	NOUN
ijassa-781	319	8	,	,	PUNCT
ijassa-781	319	9	then	then	ADV
ijassa-781	319	10	the	the	DET
ijassa-781	319	11	target	target	NOUN
ijassa-781	319	12	diagram	diagram	NOUN
ijassa-781	319	13			NOUN
ijassa-781	319	14	is	be	AUX
ijassa-781	319	15	essentially	essentially	ADV
ijassa-781	319	16	unique	unique	ADJ
ijassa-781	319	17	:	:	PUNCT
ijassa-781	319	18	it	it	PRON
ijassa-781	319	19	can	can	AUX
ijassa-781	319	20	be	be	AUX
ijassa-781	319	21	comprised	comprise	VERB
ijassa-781	319	22	solely	solely	ADV
ijassa-781	319	23	from	from	ADP
ijassa-781	319	24	isomorphisms	isomorphism	NOUN
ijassa-781	319	25	.	.	PUNCT
ijassa-781	320	1	otherwise	otherwise	ADV
ijassa-781	320	2	,	,	PUNCT
ijassa-781	320	3	at	at	ADV
ijassa-781	320	4	least	least	ADV
ijassa-781	320	5	two	two	NUM
ijassa-781	320	6	non	non	ADJ
ijassa-781	320	7	-	-	ADJ
ijassa-781	320	8	isomorphic	isomorphic	ADJ
ijassa-781	320	9	diagrams	diagram	NOUN
ijassa-781	320	10	of	of	ADP
ijassa-781	320	11	the	the	DET
ijassa-781	320	12	kind	kind	ADJ
ijassa-781	320	13	e	e	NOUN
ijassa-781	320	14	exist	exist	VERB
ijassa-781	320	15	.	.	PUNCT
ijassa-781	321	1	□	□	PUNCT
ijassa-781	321	2	for	for	ADP
ijassa-781	321	3	example	example	NOUN
ijassa-781	321	4	,	,	PUNCT
ijassa-781	321	5	in	in	ADP
ijassa-781	321	6	the	the	DET
ijassa-781	321	7	category	category	NOUN
ijassa-781	321	8	set	set	VERB
ijassa-781	321	9	the	the	DET
ijassa-781	321	10	uniqueness	uniqueness	ADJ
ijassa-781	321	11	criterion	criterion	NOUN
ijassa-781	321	12	of	of	ADP
ijassa-781	321	13	the	the	DET
ijassa-781	321	14	glue	glue	NOUN
ijassa-781	321	15	finding	finding	NOUN
ijassa-781	321	16	problem	problem	NOUN
ijassa-781	321	17	solution	solution	NOUN
ijassa-781	321	18	is	be	AUX
ijassa-781	321	19	equivalent	equivalent	ADJ
ijassa-781	321	20	to	to	ADP
ijassa-781	321	21	the	the	DET
ijassa-781	321	22	condition	condition	NOUN
ijassa-781	321	23	that	that	SCONJ
ijassa-781	321	24	the	the	DET
ijassa-781	321	25	set	set	NOUN
ijassa-781	321	26	r	r	NOUN
ijassa-781	321	27	is	be	AUX
ijassa-781	321	28	empty	empty	ADJ
ijassa-781	321	29	.	.	PUNCT
ijassa-781	322	1	if	if	SCONJ
ijassa-781	322	2	this	this	PRON
ijassa-781	322	3	is	be	AUX
ijassa-781	322	4	not	not	PART
ijassa-781	322	5	the	the	DET
ijassa-781	322	6	case	case	NOUN
ijassa-781	322	7	,	,	PUNCT
ijassa-781	322	8	then	then	ADV
ijassa-781	322	9	any	any	DET
ijassa-781	322	10	larger	large	ADJ
ijassa-781	322	11	set	set	NOUN
ijassa-781	322	12	can	can	AUX
ijassa-781	322	13	be	be	AUX
ijassa-781	322	14	mapped	map	VERB
ijassa-781	322	15	onto	onto	ADP
ijassa-781	322	16	r	r	NOUN
ijassa-781	322	17	,	,	PUNCT
ijassa-781	322	18	so	so	CCONJ
ijassa-781	322	19	the	the	DET
ijassa-781	322	20	target	target	NOUN
ijassa-781	322	21	class	class	NOUN
ijassa-781	322	22	cds	cd	NOUN
ijassa-781	322	23	contains	contain	VERB
ijassa-781	322	24	at	at	ADP
ijassa-781	322	25	least	least	ADJ
ijassa-781	322	26	infinitely	infinitely	ADV
ijassa-781	322	27	many	many	ADJ
ijassa-781	322	28	pairwise	pairwise	NOUN
ijassa-781	322	29	non	non	ADJ
ijassa-781	322	30	-	-	ADJ
ijassa-781	322	31	isomorphic	isomorphic	ADJ
ijassa-781	322	32	m	m	ADV
ijassa-781	322	33	-	-	PUNCT
ijassa-781	322	34	shaped	shape	VERB
ijassa-781	322	35	diagrams	diagram	NOUN
ijassa-781	322	36	of	of	ADP
ijassa-781	322	37	the	the	DET
ijassa-781	322	38	kind	kind	NOUN
ijassa-781	322	39	e	e	PROPN
ijassa-781	322	40	.	.	PUNCT
ijassa-781	323	1	the	the	DET
ijassa-781	323	2	stepwise	stepwise	ADJ
ijassa-781	323	3	glue	glue	NOUN
ijassa-781	323	4	finding	find	VERB
ijassa-781	323	5	procedure	procedure	NOUN
ijassa-781	323	6	executed	execute	VERB
ijassa-781	323	7	to	to	PART
ijassa-781	323	8	prove	prove	VERB
ijassa-781	323	9	proposition	proposition	NOUN
ijassa-781	323	10	1	1	NUM
ijassa-781	323	11	admits	admit	VERB
ijassa-781	323	12	generalization	generalization	NOUN
ijassa-781	323	13	for	for	ADP
ijassa-781	323	14	recovering	recover	VERB
ijassa-781	323	15	configurations	configuration	NOUN
ijassa-781	323	16	with	with	ADP
ijassa-781	323	17	more	more	ADV
ijassa-781	323	18	complicated	complicated	ADJ
ijassa-781	323	19	shapes	shape	NOUN
ijassa-781	323	20	than	than	ADP
ijassa-781	323	21	m.	m.	NOUN
ijassa-781	323	22	such	such	DET
ijassa-781	323	23	a	a	DET
ijassa-781	323	24	general	general	ADJ
ijassa-781	323	25	procedure	procedure	NOUN
ijassa-781	323	26	essentially	essentially	ADV
ijassa-781	323	27	amounts	amount	VERB
ijassa-781	323	28	to	to	ADP
ijassa-781	323	29	“	"	PUNCT
ijassa-781	323	30	unwinding	unwind	VERB
ijassa-781	323	31	”	"	PUNCT
ijassa-781	323	32	the	the	DET
ijassa-781	323	33	construction	construction	NOUN
ijassa-781	323	34	of	of	ADP
ijassa-781	323	35	a	a	DET
ijassa-781	323	36	colimit	colimit	NOUN
ijassa-781	323	37	from	from	ADP
ijassa-781	323	38	sums	sum	NOUN
ijassa-781	323	39	and	and	CCONJ
ijassa-781	323	40	pushouts	pushout	NOUN
ijassa-781	323	41	.	.	PUNCT
ijassa-781	324	1	crucial	crucial	ADJ
ijassa-781	324	2	steps	step	NOUN
ijassa-781	324	3	of	of	ADP
ijassa-781	324	4	the	the	DET
ijassa-781	324	5	procedure	procedure	NOUN
ijassa-781	324	6	consist	consist	NOUN
ijassa-781	324	7	in	in	ADP
ijassa-781	324	8	recovering	recover	VERB
ijassa-781	324	9	a	a	DET
ijassa-781	324	10	pushout	pushout	NOUN
ijassa-781	324	11	from	from	ADP
ijassa-781	324	12	its	its	PRON
ijassa-781	324	13	edges	edge	NOUN
ijassa-781	324	14	.	.	PUNCT
ijassa-781	325	1	this	this	PRON
ijassa-781	325	2	is	be	AUX
ijassa-781	325	3	the	the	DET
ijassa-781	325	4	case	case	NOUN
ijassa-781	325	5	for	for	ADP
ijassa-781	325	6	an	an	DET
ijassa-781	325	7	inverse	inverse	ADJ
ijassa-781	325	8	non	non	ADJ
ijassa-781	325	9	-	-	ADJ
ijassa-781	325	10	intrusive	intrusive	ADJ
ijassa-781	325	11	gluing	gluing	NOUN
ijassa-781	325	12	problem	problem	NOUN
ijassa-781	325	13	.	.	PUNCT
ijassa-781	326	1	indeed	indeed	ADV
ijassa-781	326	2	,	,	PUNCT
ijassa-781	326	3	the	the	DET
ijassa-781	326	4	class	class	NOUN
ijassa-781	326	5	cd	cd	NOUN
ijassa-781	326	6	in	in	ADP
ijassa-781	326	7	this	this	DET
ijassa-781	326	8	problem	problem	NOUN
ijassa-781	326	9	’s	’s	PART
ijassa-781	326	10	statement	statement	NOUN
ijassa-781	326	11	consists	consist	VERB
ijassa-781	326	12	of	of	ADP
ijassa-781	326	13	all	all	DET
ijassa-781	326	14	v	v	ADV
ijassa-781	326	15	-	-	PUNCT
ijassa-781	326	16	shaped	shape	VERB
ijassa-781	326	17	diagrams	diagram	NOUN
ijassa-781	326	18	with	with	ADP
ijassa-781	326	19	a	a	DET
ijassa-781	326	20	colimit	colimit	NOUN
ijassa-781	326	21	in	in	ADP
ijassa-781	326	22	c	c	PROPN
ijassa-781	326	23	,	,	PUNCT
ijassa-781	326	24	while	while	SCONJ
ijassa-781	326	25	the	the	DET
ijassa-781	326	26	cocone	cocone	NOUN
ijassa-781	326	27			PROPN
ijassa-781	326	28	has	have	VERB
ijassa-781	326	29	a	a	DET
ijassa-781	326	30	discrete	discrete	ADJ
ijassa-781	326	31	base	base	NOUN
ijassa-781	326	32	consisting	consist	VERB
ijassa-781	326	33	of	of	ADP
ijassa-781	326	34	two	two	NUM
ijassa-781	326	35	outer	outer	ADJ
ijassa-781	326	36	vertices	vertex	NOUN
ijassa-781	326	37	of	of	ADP
ijassa-781	326	38	v	v	NOUN
ijassa-781	326	39	and	and	CCONJ
ijassa-781	326	40	is	be	AUX
ijassa-781	326	41	specified	specify	VERB
ijassa-781	326	42	by	by	ADP
ijassa-781	326	43	a	a	DET
ijassa-781	326	44	pair	pair	NOUN
ijassa-781	326	45	of	of	ADP
ijassa-781	326	46	c	c	NOUN
ijassa-781	326	47	-	-	PUNCT
ijassa-781	326	48	morphisms	morphisms	ADJ
ijassa-781	326	49	with	with	ADP
ijassa-781	326	50	the	the	DET
ijassa-781	326	51	same	same	ADJ
ijassa-781	326	52	codomain	codomain	NOUN
ijassa-781	326	53	.	.	PUNCT
ijassa-781	327	1	this	this	DET
ijassa-781	327	2	pushout	pushout	NOUN
ijassa-781	327	3	recovery	recovery	NOUN
ijassa-781	327	4	problem	problem	NOUN
ijassa-781	327	5	is	be	AUX
ijassa-781	327	6	quite	quite	ADV
ijassa-781	327	7	difficult	difficult	ADJ
ijassa-781	327	8	to	to	PART
ijassa-781	327	9	solve	solve	VERB
ijassa-781	327	10	.	.	PUNCT
ijassa-781	328	1	we	we	PRON
ijassa-781	328	2	start	start	VERB
ijassa-781	328	3	with	with	ADP
ijassa-781	328	4	solving	solve	VERB
ijassa-781	328	5	it	it	PRON
ijassa-781	328	6	in	in	ADP
ijassa-781	328	7	the	the	DET
ijassa-781	328	8	category	category	NOUN
ijassa-781	328	9	set	set	VERB
ijassa-781	328	10	as	as	SCONJ
ijassa-781	328	11	follows	follow	VERB
ijassa-781	328	12	.	.	PUNCT
ijassa-781	329	1	62	62	NUM
ijassa-781	329	2	s.p	s.p	PROPN
ijassa-781	329	3	.	.	PROPN
ijassa-781	329	4	kovalyov	kovalyov	PROPN
ijassa-781	329	5	copyright	copyright	NOUN
ijassa-781	329	6	©	©	PROPN
ijassa-781	329	7	2020	2020	NUM
ijassa-781	329	8	assa	assa	PROPN
ijassa-781	329	9	adv	adv	PROPN
ijassa-781	329	10	.	.	PUNCT
ijassa-781	330	1	in	in	ADP
ijassa-781	330	2	systems	system	NOUN
ijassa-781	330	3	science	science	NOUN
ijassa-781	330	4	and	and	CCONJ
ijassa-781	330	5	appl	appl	NOUN
ijassa-781	330	6	.	.	PUNCT
ijassa-781	331	1	(	(	PUNCT
ijassa-781	331	2	2020	2020	NUM
ijassa-781	331	3	)	)	PUNCT
ijassa-781	331	4	proposition	proposition	NOUN
ijassa-781	331	5	2	2	NUM
ijassa-781	331	6	:	:	PUNCT
ijassa-781	331	7	let	let	VERB
ijassa-781	331	8	p	p	PRON
ijassa-781	331	9	,	,	PUNCT
ijassa-781	331	10	s	s	PART
ijassa-781	331	11	,	,	PUNCT
ijassa-781	331	12	r	r	NOUN
ijassa-781	331	13	be	be	VERB
ijassa-781	331	14	sets	set	NOUN
ijassa-781	331	15	and	and	CCONJ
ijassa-781	331	16	p	p	X
ijassa-781	331	17	:	:	PUNCT
ijassa-781	331	18	p	p	NOUN
ijassa-781	331	19			PUNCT
ijassa-781	331	20	r	r	NOUN
ijassa-781	331	21			NOUN
ijassa-781	331	22	s	s	PART
ijassa-781	331	23	:	:	PUNCT
ijassa-781	331	24	s	s	VERB
ijassa-781	331	25	be	be	AUX
ijassa-781	331	26	a	a	DET
ijassa-781	331	27	pair	pair	NOUN
ijassa-781	331	28	of	of	ADP
ijassa-781	331	29	maps	map	NOUN
ijassa-781	331	30	.	.	PUNCT
ijassa-781	332	1	(	(	PUNCT
ijassa-781	332	2	1	1	X
ijassa-781	332	3	)	)	PUNCT
ijassa-781	332	4	a	a	DET
ijassa-781	332	5	pair	pair	NOUN
ijassa-781	332	6	of	of	ADP
ijassa-781	332	7	maps	map	NOUN
ijassa-781	332	8	that	that	PRON
ijassa-781	332	9	has	have	VERB
ijassa-781	332	10	a	a	DET
ijassa-781	332	11	pushout	pushout	NOUN
ijassa-781	332	12	specified	specify	VERB
ijassa-781	332	13	by	by	ADP
ijassa-781	332	14	edges	edge	NOUN
ijassa-781	332	15	p	p	NOUN
ijassa-781	332	16	and	and	CCONJ
ijassa-781	332	17	s	s	NOUN
ijassa-781	332	18	exists	exist	VERB
ijassa-781	332	19	if	if	SCONJ
ijassa-781	332	20	and	and	CCONJ
ijassa-781	332	21	only	only	ADV
ijassa-781	332	22	if	if	SCONJ
ijassa-781	332	23	the	the	DET
ijassa-781	332	24	following	follow	VERB
ijassa-781	332	25	condition	condition	NOUN
ijassa-781	332	26	holds	hold	VERB
ijassa-781	332	27	for	for	ADP
ijassa-781	332	28	each	each	DET
ijassa-781	332	29	r	r	NOUN
ijassa-781	332	30			NOUN
ijassa-781	332	31	r	r	NOUN
ijassa-781	332	32	:	:	PUNCT
ijassa-781	332	33	(	(	PUNCT
ijassa-781	332	34	|p–1(r)|	|p–1(r)|	NOUN
ijassa-781	332	35	=	=	SYM
ijassa-781	332	36	0	0	NUM
ijassa-781	332	37			NOUN
ijassa-781	332	38	|s–1(r)|	|s–1(r)|	NOUN
ijassa-781	332	39	=	=	SYM
ijassa-781	332	40	1	1	NUM
ijassa-781	332	41	)	)	PUNCT
ijassa-781	332	42			PROPN
ijassa-781	332	43	(	(	PUNCT
ijassa-781	332	44	|s–1(r)|	|s–1(r)|	NOUN
ijassa-781	332	45	=	=	SYM
ijassa-781	332	46	0	0	PROPN
ijassa-781	332	47			NOUN
ijassa-781	332	48	|p–1(r)|	|p–1(r)|	NOUN
ijassa-781	332	49	=	=	NOUN
ijassa-781	332	50	1	1	NUM
ijassa-781	332	51	)	)	PUNCT
ijassa-781	332	52	.	.	PUNCT
ijassa-781	333	1	(	(	PUNCT
ijassa-781	333	2	2	2	X
ijassa-781	333	3	)	)	PUNCT
ijassa-781	333	4	let	let	AUX
ijassa-781	333	5	prp	prp	NOUN
ijassa-781	333	6	:	:	PUNCT
ijassa-781	333	7	p	p	X
ijassa-781	333	8			X
ijassa-781	333	9	p	p	NOUN
ijassa-781	333	10	×	×	PROPN
ijassa-781	333	11	s	s	PART
ijassa-781	333	12			NOUN
ijassa-781	333	13	s	s	VERB
ijassa-781	333	14	:	:	PUNCT
ijassa-781	333	15	prs	prs	NOUN
ijassa-781	333	16	be	be	AUX
ijassa-781	333	17	a	a	DET
ijassa-781	333	18	cartesian	cartesian	ADJ
ijassa-781	333	19	product	product	NOUN
ijassa-781	333	20	of	of	ADP
ijassa-781	333	21	sets	set	NOUN
ijassa-781	333	22	equipped	equip	VERB
ijassa-781	333	23	with	with	ADP
ijassa-781	333	24	projections	projection	NOUN
ijassa-781	333	25	and	and	CCONJ
ijassa-781	333	26	[	[	X
ijassa-781	333	27	p	p	X
ijassa-781	333	28	,	,	PUNCT
ijassa-781	333	29	s	s	X
ijassa-781	333	30	]	]	X
ijassa-781	333	31	:	:	PUNCT
ijassa-781	333	32	p	p	X
ijassa-781	333	33			PRON
ijassa-781	333	34	s	s	PART
ijassa-781	333	35			NOUN
ijassa-781	333	36	r	r	NOUN
ijassa-781	333	37	be	be	AUX
ijassa-781	333	38	the	the	DET
ijassa-781	333	39	canonical	canonical	ADJ
ijassa-781	333	40	map	map	NOUN
ijassa-781	333	41	that	that	PRON
ijassa-781	333	42	acts	act	VERB
ijassa-781	333	43	as	as	ADP
ijassa-781	333	44	p	p	NOUN
ijassa-781	333	45	on	on	ADP
ijassa-781	333	46	p	p	NOUN
ijassa-781	333	47	and	and	CCONJ
ijassa-781	333	48	as	as	ADP
ijassa-781	333	49	s	s	PRON
ijassa-781	333	50	on	on	ADP
ijassa-781	333	51	s.	s.	PROPN
ijassa-781	333	52	a	a	DET
ijassa-781	333	53	pair	pair	NOUN
ijassa-781	333	54	of	of	ADP
ijassa-781	333	55	maps	map	NOUN
ijassa-781	333	56	f	f	NOUN
ijassa-781	333	57	:	:	PUNCT
ijassa-781	333	58	p	p	X
ijassa-781	333	59			X
ijassa-781	333	60	g	g	NOUN
ijassa-781	333	61			PUNCT
ijassa-781	333	62	s	s	VERB
ijassa-781	333	63	:	:	PUNCT
ijassa-781	333	64	g	g	NOUN
ijassa-781	333	65	has	have	VERB
ijassa-781	333	66	a	a	DET
ijassa-781	333	67	pushout	pushout	NOUN
ijassa-781	333	68	specified	specify	VERB
ijassa-781	333	69	by	by	ADP
ijassa-781	333	70	edges	edge	NOUN
ijassa-781	333	71	p	p	NOUN
ijassa-781	333	72	and	and	CCONJ
ijassa-781	333	73	s	s	NOUN
ijassa-781	333	74	if	if	SCONJ
ijassa-781	334	1	and	and	CCONJ
ijassa-781	334	2	only	only	ADV
ijassa-781	334	3	if	if	SCONJ
ijassa-781	334	4	the	the	DET
ijassa-781	334	5	map	map	NOUN
ijassa-781	334	6	[	[	X
ijassa-781	334	7	p	p	X
ijassa-781	334	8	,	,	PUNCT
ijassa-781	334	9	s	s	AUX
ijassa-781	334	10	]	]	X
ijassa-781	334	11	is	be	AUX
ijassa-781	334	12	surjective	surjective	ADJ
ijassa-781	334	13	and	and	CCONJ
ijassa-781	334	14	there	there	PRON
ijassa-781	334	15	exists	exist	VERB
ijassa-781	334	16	a	a	DET
ijassa-781	334	17	map	map	NOUN
ijassa-781	334	18	h	h	NOUN
ijassa-781	334	19	:	:	PUNCT
ijassa-781	335	1	g	g	NOUN
ijassa-781	335	2			NOUN
ijassa-781	336	1	p	p	DET
ijassa-781	336	2	×	×	NOUN
ijassa-781	336	3	s	s	VERB
ijassa-781	336	4	such	such	ADJ
ijassa-781	336	5	that	that	SCONJ
ijassa-781	336	6	f	f	PROPN
ijassa-781	336	7	=	=	PUNCT
ijassa-781	336	8	prp	prp	PROPN
ijassa-781	336	9	◦	◦	NOUN
ijassa-781	336	10	h	h	NOUN
ijassa-781	336	11	,	,	PUNCT
ijassa-781	336	12	g	g	NOUN
ijassa-781	336	13	=	=	PUNCT
ijassa-781	336	14	prs	prs	NOUN
ijassa-781	336	15	◦	◦	NOUN
ijassa-781	336	16	h	h	NOUN
ijassa-781	336	17	,	,	PUNCT
ijassa-781	336	18	and	and	CCONJ
ijassa-781	336	19	the	the	DET
ijassa-781	336	20	set	set	NOUN
ijassa-781	336	21	h(g	h(g	NOUN
ijassa-781	336	22	)	)	PUNCT
ijassa-781	336	23	,	,	PUNCT
ijassa-781	336	24	considered	consider	VERB
ijassa-781	336	25	as	as	ADP
ijassa-781	336	26	a	a	DET
ijassa-781	336	27	binary	binary	ADJ
ijassa-781	336	28	relation	relation	NOUN
ijassa-781	336	29	on	on	ADP
ijassa-781	336	30	p	p	PROPN
ijassa-781	336	31			NOUN
ijassa-781	336	32	s	s	PROPN
ijassa-781	336	33	,	,	PUNCT
ijassa-781	336	34	generates	generate	VERB
ijassa-781	336	35	the	the	DET
ijassa-781	336	36	equivalence	equivalence	NOUN
ijassa-781	336	37	relation	relation	NOUN
ijassa-781	336	38	that	that	PRON
ijassa-781	336	39	coincides	coincide	VERB
ijassa-781	336	40	with	with	ADP
ijassa-781	336	41	the	the	DET
ijassa-781	336	42	kernel	kernel	PROPN
ijassa-781	336	43	equivalence	equivalence	NOUN
ijassa-781	336	44	relation	relation	NOUN
ijassa-781	336	45	of	of	ADP
ijassa-781	336	46	the	the	DET
ijassa-781	336	47	map	map	NOUN
ijassa-781	337	1	[	[	X
ijassa-781	337	2	p	p	X
ijassa-781	337	3	,	,	PUNCT
ijassa-781	337	4	s	s	PART
ijassa-781	337	5	]	]	X
ijassa-781	337	6	.	.	PUNCT
ijassa-781	338	1	(	(	PUNCT
ijassa-781	338	2	3	3	X
ijassa-781	338	3	)	)	PUNCT
ijassa-781	338	4	there	there	PRON
ijassa-781	338	5	exists	exist	VERB
ijassa-781	338	6	a	a	DET
ijassa-781	338	7	unique	unique	ADJ
ijassa-781	338	8	pair	pair	NOUN
ijassa-781	338	9	of	of	ADP
ijassa-781	338	10	maps	map	NOUN
ijassa-781	338	11	that	that	PRON
ijassa-781	338	12	has	have	VERB
ijassa-781	338	13	a	a	DET
ijassa-781	338	14	pushout	pushout	NOUN
ijassa-781	338	15	specified	specify	VERB
ijassa-781	338	16	by	by	ADP
ijassa-781	338	17	edges	edge	NOUN
ijassa-781	338	18	p	p	NOUN
ijassa-781	338	19	and	and	CCONJ
ijassa-781	338	20	s	s	NOUN
ijassa-781	338	21	if	if	SCONJ
ijassa-781	338	22	and	and	CCONJ
ijassa-781	338	23	only	only	ADV
ijassa-781	338	24	if	if	SCONJ
ijassa-781	338	25	the	the	DET
ijassa-781	338	26	map	map	NOUN
ijassa-781	338	27	[	[	X
ijassa-781	338	28	p	p	X
ijassa-781	338	29	,	,	PUNCT
ijassa-781	338	30	s	s	AUX
ijassa-781	338	31	]	]	X
ijassa-781	338	32	is	be	AUX
ijassa-781	338	33	bijective	bijective	ADJ
ijassa-781	338	34	.	.	PUNCT
ijassa-781	339	1	proof	proof	NOUN
ijassa-781	339	2	.	.	PUNCT
ijassa-781	340	1	(	(	PUNCT
ijassa-781	340	2	1	1	X
ijassa-781	340	3	)	)	PUNCT
ijassa-781	340	4	assume	assume	VERB
ijassa-781	340	5	that	that	SCONJ
ijassa-781	340	6	the	the	DET
ijassa-781	340	7	maps	map	NOUN
ijassa-781	340	8	p	p	NOUN
ijassa-781	340	9	and	and	CCONJ
ijassa-781	340	10	s	s	PRON
ijassa-781	340	11	specify	specify	VERB
ijassa-781	340	12	the	the	DET
ijassa-781	340	13	pushout	pushout	NOUN
ijassa-781	340	14	of	of	ADP
ijassa-781	340	15	some	some	DET
ijassa-781	340	16	pair	pair	NOUN
ijassa-781	340	17	of	of	ADP
ijassa-781	340	18	maps	map	NOUN
ijassa-781	340	19	f	f	NOUN
ijassa-781	340	20	:	:	PUNCT
ijassa-781	341	1	p	p	X
ijassa-781	341	2			X
ijassa-781	341	3	g	g	NOUN
ijassa-781	341	4			PUNCT
ijassa-781	341	5	s	s	VERB
ijassa-781	341	6	:	:	PUNCT
ijassa-781	341	7	g.	g.	NOUN
ijassa-781	341	8	from	from	ADP
ijassa-781	341	9	the	the	DET
ijassa-781	341	10	construction	construction	NOUN
ijassa-781	341	11	of	of	ADP
ijassa-781	341	12	pushout	pushout	NOUN
ijassa-781	341	13	in	in	ADP
ijassa-781	341	14	set	set	NOUN
ijassa-781	341	15	described	describe	VERB
ijassa-781	341	16	explicitly	explicitly	ADV
ijassa-781	341	17	in	in	ADP
ijassa-781	341	18	section	section	NOUN
ijassa-781	341	19	3	3	NUM
ijassa-781	341	20	,	,	PUNCT
ijassa-781	341	21	it	it	PRON
ijassa-781	341	22	is	be	AUX
ijassa-781	341	23	easy	easy	ADJ
ijassa-781	341	24	to	to	PART
ijassa-781	341	25	see	see	VERB
ijassa-781	341	26	that	that	SCONJ
ijassa-781	341	27	if	if	SCONJ
ijassa-781	341	28	the	the	DET
ijassa-781	341	29	set	set	NOUN
ijassa-781	341	30	p–1(r	p–1(r	NOUN
ijassa-781	341	31	)	)	PUNCT
ijassa-781	341	32			PROPN
ijassa-781	341	33	p	p	PROPN
ijassa-781	341	34	is	be	AUX
ijassa-781	341	35	empty	empty	ADJ
ijassa-781	341	36	for	for	ADP
ijassa-781	341	37	some	some	DET
ijassa-781	341	38	r	r	NOUN
ijassa-781	341	39			NOUN
ijassa-781	341	40	r	r	NOUN
ijassa-781	341	41	,	,	PUNCT
ijassa-781	341	42	then	then	ADV
ijassa-781	341	43	the	the	DET
ijassa-781	341	44	element	element	NOUN
ijassa-781	341	45	r	r	NOUN
ijassa-781	341	46	has	have	AUX
ijassa-781	341	47	been	be	AUX
ijassa-781	341	48	brought	bring	VERB
ijassa-781	341	49	into	into	ADP
ijassa-781	341	50	r	r	NOUN
ijassa-781	341	51	from	from	ADP
ijassa-781	341	52	the	the	DET
ijassa-781	341	53	set	set	NOUN
ijassa-781	341	54	s	s	PART
ijassa-781	341	55	\	\	PROPN
ijassa-781	341	56	g(g	g(g	PROPN
ijassa-781	341	57	):	):	PUNCT
ijassa-781	341	58	there	there	PRON
ijassa-781	341	59	exists	exist	VERB
ijassa-781	341	60	a	a	DET
ijassa-781	341	61	unique	unique	ADJ
ijassa-781	341	62	y	y	PROPN
ijassa-781	341	63			NOUN
ijassa-781	341	64	s	s	VERB
ijassa-781	341	65	such	such	ADJ
ijassa-781	341	66	that	that	SCONJ
ijassa-781	341	67	s(y	s(y	NOUN
ijassa-781	341	68	)	)	PUNCT
ijassa-781	342	1	=	=	VERB
ijassa-781	342	2	r.	r.	VERB
ijassa-781	342	3	the	the	DET
ijassa-781	342	4	case	case	NOUN
ijassa-781	342	5	for	for	ADP
ijassa-781	342	6	empty	empty	ADJ
ijassa-781	342	7	set	set	VERB
ijassa-781	342	8	s–1(r	s–1(r	NOUN
ijassa-781	342	9	)	)	PUNCT
ijassa-781	342	10			PROPN
ijassa-781	342	11	s	s	PART
ijassa-781	342	12	is	be	AUX
ijassa-781	342	13	considered	consider	VERB
ijassa-781	342	14	similarly	similarly	ADV
ijassa-781	342	15	.	.	PUNCT
ijassa-781	343	1	conversely	conversely	ADV
ijassa-781	343	2	,	,	PUNCT
ijassa-781	343	3	assume	assume	VERB
ijassa-781	343	4	that	that	SCONJ
ijassa-781	343	5	p	p	PROPN
ijassa-781	343	6	and	and	CCONJ
ijassa-781	343	7	s	s	AUX
ijassa-781	343	8	satisfy	satisfy	VERB
ijassa-781	343	9	the	the	DET
ijassa-781	343	10	condition	condition	NOUN
ijassa-781	343	11	(	(	PUNCT
ijassa-781	343	12	1	1	NUM
ijassa-781	343	13	)	)	PUNCT
ijassa-781	343	14	;	;	PUNCT
ijassa-781	343	15	in	in	ADP
ijassa-781	343	16	particular	particular	ADJ
ijassa-781	343	17	,	,	PUNCT
ijassa-781	343	18	p(p	p(p	NOUN
ijassa-781	343	19	)	)	PUNCT
ijassa-781	343	20			NOUN
ijassa-781	343	21	s(s	s(s	PROPN
ijassa-781	343	22	)	)	PUNCT
ijassa-781	343	23	=	=	PUNCT
ijassa-781	343	24	r.	r.	NOUN
ijassa-781	343	25	construct	construct	VERB
ijassa-781	343	26	a	a	DET
ijassa-781	343	27	pullback	pullback	NOUN
ijassa-781	343	28	(	(	PUNCT
ijassa-781	343	29	a	a	DET
ijassa-781	343	30	limit	limit	NOUN
ijassa-781	343	31	,	,	PUNCT
ijassa-781	343	32	viz	viz	PROPN
ijassa-781	343	33	.	.	PUNCT
ijassa-781	344	1	a	a	DET
ijassa-781	344	2	universal	universal	ADJ
ijassa-781	344	3	construction	construction	NOUN
ijassa-781	344	4	dual	dual	ADJ
ijassa-781	344	5	to	to	ADP
ijassa-781	344	6	a	a	DET
ijassa-781	344	7	pushout	pushout	NOUN
ijassa-781	344	8	)	)	PUNCT
ijassa-781	344	9	of	of	ADP
ijassa-781	344	10	the	the	DET
ijassa-781	344	11	vop	vop	PROPN
ijassa-781	344	12	-	-	PUNCT
ijassa-781	344	13	shaped	shape	VERB
ijassa-781	344	14	diagram	diagram	NOUN
ijassa-781	344	15	in	in	ADP
ijassa-781	344	16	set	set	NOUN
ijassa-781	344	17	populated	populate	VERB
ijassa-781	344	18	by	by	ADP
ijassa-781	344	19	the	the	DET
ijassa-781	344	20	pair	pair	NOUN
ijassa-781	344	21	[	[	X
ijassa-781	344	22	18	18	NUM
ijassa-781	344	23	,	,	PUNCT
ijassa-781	344	24	§	§	PROPN
ijassa-781	344	25	iii.4	iii.4	PROPN
ijassa-781	344	26	]	]	PUNCT
ijassa-781	344	27	:	:	PUNCT
ijassa-781	344	28	let	let	AUX
ijassa-781	344	29	g0	g0	NOUN
ijassa-781	344	30	=	=	SYM
ijassa-781	344	31	{	{	PUNCT
ijassa-781	344	32	(	(	PUNCT
ijassa-781	344	33	x	x	NOUN
ijassa-781	344	34	,	,	PUNCT
ijassa-781	344	35	y	y	NOUN
ijassa-781	344	36	)	)	PUNCT
ijassa-781	344	37	|	|	ADV
ijassa-781	344	38	p(x	p(x	VERB
ijassa-781	344	39	)	)	PUNCT
ijassa-781	344	40	=	=	SYM
ijassa-781	344	41	s(y	s(y	NOUN
ijassa-781	344	42	)	)	PUNCT
ijassa-781	344	43	}	}	PUNCT
ijassa-781	344	44			PROPN
ijassa-781	344	45	p	p	PROPN
ijassa-781	344	46	×	×	PROPN
ijassa-781	344	47	s	s	NOUN
ijassa-781	344	48	,	,	PUNCT
ijassa-781	344	49	f0	f0	PROPN
ijassa-781	344	50	:	:	PUNCT
ijassa-781	344	51	g0	g0	ADJ
ijassa-781	344	52			NOUN
ijassa-781	345	1	p	p	X
ijassa-781	345	2	:	:	PUNCT
ijassa-781	345	3	(	(	PUNCT
ijassa-781	345	4	x	x	NOUN
ijassa-781	345	5	,	,	PUNCT
ijassa-781	345	6	y	y	NOUN
ijassa-781	345	7	)	)	PUNCT
ijassa-781	345	8	↦	↦	PROPN
ijassa-781	345	9	x	x	SYM
ijassa-781	345	10	,	,	PUNCT
ijassa-781	345	11	g0	g0	NOUN
ijassa-781	345	12	:	:	PUNCT
ijassa-781	345	13	g0	g0	ADJ
ijassa-781	345	14			NOUN
ijassa-781	345	15	s	s	AUX
ijassa-781	345	16	:	:	PUNCT
ijassa-781	345	17	(	(	PUNCT
ijassa-781	345	18	x	x	NOUN
ijassa-781	345	19	,	,	PUNCT
ijassa-781	345	20	y	y	PROPN
ijassa-781	345	21	)	)	PUNCT
ijassa-781	345	22	↦	↦	PROPN
ijassa-781	345	23	y.	y.	NOUN
ijassa-781	345	24	the	the	DET
ijassa-781	345	25	equality	equality	NOUN
ijassa-781	345	26	p	p	PROPN
ijassa-781	345	27	◦	◦	NOUN
ijassa-781	345	28	f0	f0	PROPN
ijassa-781	345	29	=	=	SYM
ijassa-781	345	30	s	s	PART
ijassa-781	345	31	◦	◦	NOUN
ijassa-781	345	32	g0	g0	NOUN
ijassa-781	345	33	holds	hold	VERB
ijassa-781	345	34	and	and	CCONJ
ijassa-781	345	35	determines	determine	VERB
ijassa-781	345	36	the	the	DET
ijassa-781	345	37	pullback	pullback	NOUN
ijassa-781	345	38	;	;	PUNCT
ijassa-781	345	39	we	we	PRON
ijassa-781	345	40	claim	claim	VERB
ijassa-781	345	41	that	that	SCONJ
ijassa-781	345	42	it	it	PRON
ijassa-781	345	43	also	also	ADV
ijassa-781	345	44	determines	determine	VERB
ijassa-781	345	45	a	a	DET
ijassa-781	345	46	pushout	pushout	NOUN
ijassa-781	345	47	of	of	ADP
ijassa-781	345	48	the	the	DET
ijassa-781	345	49	pair	pair	NOUN
ijassa-781	345	50	of	of	ADP
ijassa-781	345	51	pullback	pullback	NOUN
ijassa-781	345	52	edges	edge	NOUN
ijassa-781	345	53	f0	f0	ADV
ijassa-781	345	54	:	:	PUNCT
ijassa-781	345	55	p	p	PROPN
ijassa-781	345	56			X
ijassa-781	345	57	g0	g0	NOUN
ijassa-781	345	58			PROPN
ijassa-781	345	59	s	s	PART
ijassa-781	345	60	:	:	PUNCT
ijassa-781	345	61	g0	g0	PROPN
ijassa-781	345	62	.	.	PUNCT
ijassa-781	346	1	indeed	indeed	ADV
ijassa-781	346	2	,	,	PUNCT
ijassa-781	346	3	construct	construct	VERB
ijassa-781	346	4	the	the	DET
ijassa-781	346	5	pushout	pushout	NOUN
ijassa-781	346	6	of	of	ADP
ijassa-781	346	7	this	this	DET
ijassa-781	346	8	pair	pair	NOUN
ijassa-781	346	9	in	in	ADP
ijassa-781	346	10	a	a	DET
ijassa-781	346	11	standard	standard	ADJ
ijassa-781	346	12	way	way	NOUN
ijassa-781	346	13	,	,	PUNCT
ijassa-781	346	14	with	with	ADP
ijassa-781	346	15	p	p	X
ijassa-781	346	16	'	'	PUNCT
ijassa-781	346	17	:	:	PUNCT
ijassa-781	346	18	p	p	X
ijassa-781	346	19			PUNCT
ijassa-781	346	20	r	r	NOUN
ijassa-781	346	21	'	'	PUNCT
ijassa-781	346	22			NOUN
ijassa-781	346	23	s	s	PART
ijassa-781	346	24	:	:	PUNCT
ijassa-781	346	25	s	s	AUX
ijassa-781	346	26	'	'	PUNCT
ijassa-781	346	27	being	be	AUX
ijassa-781	346	28	its	its	PRON
ijassa-781	346	29	edges	edge	NOUN
ijassa-781	346	30	.	.	PUNCT
ijassa-781	347	1	define	define	VERB
ijassa-781	347	2	the	the	DET
ijassa-781	347	3	map	map	NOUN
ijassa-781	348	1	i	i	PRON
ijassa-781	348	2	:	:	PUNCT
ijassa-781	348	3	r	r	NOUN
ijassa-781	348	4			NOUN
ijassa-781	348	5	r	r	NOUN
ijassa-781	348	6	'	'	PUNCT
ijassa-781	348	7	as	as	SCONJ
ijassa-781	348	8	follows	follow	VERB
ijassa-781	348	9	:	:	PUNCT
ijassa-781	348	10	for	for	ADP
ijassa-781	348	11	each	each	DET
ijassa-781	348	12	r	r	NOUN
ijassa-781	348	13			NOUN
ijassa-781	348	14	r	r	NOUN
ijassa-781	348	15	,	,	PUNCT
ijassa-781	348	16	if	if	SCONJ
ijassa-781	348	17	r	r	NOUN
ijassa-781	348	18			NOUN
ijassa-781	348	19	p(p	p(p	NOUN
ijassa-781	348	20	)	)	PUNCT
ijassa-781	348	21	,	,	PUNCT
ijassa-781	348	22	then	then	ADV
ijassa-781	348	23	let	let	VERB
ijassa-781	348	24	i(r	i(r	PRON
ijassa-781	348	25	)	)	PUNCT
ijassa-781	348	26	=	=	SYM
ijassa-781	348	27	p'(x	p'(x	NOUN
ijassa-781	348	28	)	)	PUNCT
ijassa-781	348	29	for	for	ADP
ijassa-781	348	30	an	an	DET
ijassa-781	348	31	arbitrary	arbitrary	ADJ
ijassa-781	348	32	x	x	SYM
ijassa-781	348	33			NOUN
ijassa-781	348	34	p	p	NOUN
ijassa-781	348	35	–	–	PUNCT
ijassa-781	348	36	1(r	1(r	NUM
ijassa-781	348	37	)	)	PUNCT
ijassa-781	348	38	(	(	PUNCT
ijassa-781	348	39	obviously	obviously	ADV
ijassa-781	348	40	,	,	PUNCT
ijassa-781	348	41	the	the	DET
ijassa-781	348	42	value	value	NOUN
ijassa-781	348	43	i(r	i(r	PROPN
ijassa-781	348	44	)	)	PUNCT
ijassa-781	348	45	does	do	AUX
ijassa-781	348	46	n’t	not	PART
ijassa-781	348	47	depend	depend	VERB
ijassa-781	348	48	upon	upon	SCONJ
ijassa-781	348	49	the	the	DET
ijassa-781	348	50	choice	choice	NOUN
ijassa-781	348	51	of	of	ADP
ijassa-781	348	52	x	x	NOUN
ijassa-781	348	53	)	)	PUNCT
ijassa-781	348	54	;	;	PUNCT
ijassa-781	348	55	otherwise	otherwise	ADV
ijassa-781	348	56	,	,	PUNCT
ijassa-781	348	57	let	let	VERB
ijassa-781	348	58	i(r	i(r	PRON
ijassa-781	348	59	)	)	PUNCT
ijassa-781	348	60	=	=	SYM
ijassa-781	348	61	s'(y	s'(y	NOUN
ijassa-781	348	62	)	)	PUNCT
ijassa-781	348	63	where	where	SCONJ
ijassa-781	348	64	y	y	PROPN
ijassa-781	348	65	is	be	AUX
ijassa-781	348	66	a	a	DET
ijassa-781	348	67	unique	unique	ADJ
ijassa-781	348	68	element	element	NOUN
ijassa-781	348	69	of	of	ADP
ijassa-781	348	70	the	the	DET
ijassa-781	348	71	set	set	NOUN
ijassa-781	348	72	s	s	VERB
ijassa-781	348	73	such	such	ADJ
ijassa-781	348	74	that	that	SCONJ
ijassa-781	348	75	s(y	s(y	NOUN
ijassa-781	348	76	)	)	PUNCT
ijassa-781	349	1	=	=	SYM
ijassa-781	349	2	r	r	NOUN
ijassa-781	349	3	(	(	PUNCT
ijassa-781	349	4	such	such	DET
ijassa-781	349	5	an	an	DET
ijassa-781	349	6	element	element	NOUN
ijassa-781	349	7	exists	exist	VERB
ijassa-781	349	8	by	by	ADP
ijassa-781	349	9	assumption	assumption	NOUN
ijassa-781	349	10	)	)	PUNCT
ijassa-781	349	11	.	.	PUNCT
ijassa-781	350	1	it	it	PRON
ijassa-781	350	2	is	be	AUX
ijassa-781	350	3	easy	easy	ADJ
ijassa-781	350	4	to	to	PART
ijassa-781	350	5	see	see	VERB
ijassa-781	350	6	that	that	SCONJ
ijassa-781	350	7	i	i	PRON
ijassa-781	350	8	is	be	AUX
ijassa-781	350	9	a	a	DET
ijassa-781	350	10	bijection	bijection	NOUN
ijassa-781	350	11	,	,	PUNCT
ijassa-781	350	12	p	p	X
ijassa-781	350	13	=	=	X
ijassa-781	350	14	i–1	i–1	PART
ijassa-781	351	1	◦	◦	VERB
ijassa-781	352	1	p	p	X
ijassa-781	352	2	'	'	PUNCT
ijassa-781	352	3	,	,	PUNCT
ijassa-781	352	4	and	and	CCONJ
ijassa-781	352	5	s	s	AUX
ijassa-781	352	6	=	=	PUNCT
ijassa-781	352	7	i–1	i–1	ADP
ijassa-781	352	8	◦	◦	NOUN
ijassa-781	352	9	s	s	NOUN
ijassa-781	352	10	'	'	PUNCT
ijassa-781	352	11	,	,	PUNCT
ijassa-781	352	12	so	so	CCONJ
ijassa-781	352	13	the	the	DET
ijassa-781	352	14	maps	map	NOUN
ijassa-781	352	15	p	p	NOUN
ijassa-781	352	16	and	and	CCONJ
ijassa-781	352	17	s	s	NOUN
ijassa-781	352	18	are	be	AUX
ijassa-781	352	19	edges	edge	NOUN
ijassa-781	352	20	of	of	ADP
ijassa-781	352	21	a	a	DET
ijassa-781	352	22	pushout	pushout	NOUN
ijassa-781	352	23	of	of	ADP
ijassa-781	352	24	the	the	DET
ijassa-781	352	25	pair	pair	NOUN
ijassa-781	352	26	consisting	consist	VERB
ijassa-781	352	27	of	of	ADP
ijassa-781	352	28	f0	f0	PROPN
ijassa-781	352	29	and	and	CCONJ
ijassa-781	352	30	g0	g0	NOUN
ijassa-781	352	31	.	.	PUNCT
ijassa-781	353	1	(	(	PUNCT
ijassa-781	353	2	2	2	NUM
ijassa-781	353	3	)	)	PUNCT
ijassa-781	353	4	for	for	ADP
ijassa-781	353	5	a	a	DET
ijassa-781	353	6	map	map	NOUN
ijassa-781	353	7	h	h	NOUN
ijassa-781	353	8	:	:	PUNCT
ijassa-781	353	9	g	g	NOUN
ijassa-781	353	10			NOUN
ijassa-781	354	1	p	p	X
ijassa-781	354	2	×	×	PROPN
ijassa-781	354	3	s	s	NOUN
ijassa-781	354	4	,	,	PUNCT
ijassa-781	354	5	the	the	DET
ijassa-781	354	6	requirement	requirement	NOUN
ijassa-781	354	7	that	that	SCONJ
ijassa-781	354	8	the	the	DET
ijassa-781	354	9	map	map	NOUN
ijassa-781	354	10	[	[	X
ijassa-781	354	11	p	p	X
ijassa-781	354	12	,	,	PUNCT
ijassa-781	354	13	s	s	AUX
ijassa-781	354	14	]	]	X
ijassa-781	354	15	is	be	AUX
ijassa-781	354	16	surjective	surjective	ADJ
ijassa-781	354	17	and	and	CCONJ
ijassa-781	354	18	its	its	PRON
ijassa-781	354	19	kernel	kernel	NOUN
ijassa-781	354	20	equivalence	equivalence	NOUN
ijassa-781	354	21	relation	relation	NOUN
ijassa-781	354	22	is	be	AUX
ijassa-781	354	23	generated	generate	VERB
ijassa-781	354	24	by	by	ADP
ijassa-781	354	25	h(g	h(g	NOUN
ijassa-781	354	26	)	)	PUNCT
ijassa-781	354	27	is	be	AUX
ijassa-781	354	28	equivalent	equivalent	ADJ
ijassa-781	354	29	to	to	ADP
ijassa-781	354	30	the	the	DET
ijassa-781	354	31	condition	condition	NOUN
ijassa-781	354	32	that	that	SCONJ
ijassa-781	354	33	[	[	X
ijassa-781	354	34	p	p	X
ijassa-781	354	35	,	,	PUNCT
ijassa-781	354	36	s	s	AUX
ijassa-781	354	37	]	]	X
ijassa-781	354	38	is	be	AUX
ijassa-781	354	39	a	a	DET
ijassa-781	354	40	coequalizer	coequalizer	NOUN
ijassa-781	354	41	of	of	ADP
ijassa-781	354	42	the	the	DET
ijassa-781	354	43	following	follow	VERB
ijassa-781	354	44	parallel	parallel	ADJ
ijassa-781	354	45	pair	pair	NOUN
ijassa-781	354	46	of	of	ADP
ijassa-781	354	47	maps	map	NOUN
ijassa-781	354	48	:	:	PUNCT
ijassa-781	354	49	inp	inp	PROPN
ijassa-781	354	50	◦	◦	PROPN
ijassa-781	354	51	prp	prp	PROPN
ijassa-781	354	52	◦	◦	PROPN
ijassa-781	354	53	h	h	PROPN
ijassa-781	354	54	,	,	PUNCT
ijassa-781	354	55	ins	ins	PROPN
ijassa-781	354	56	◦	◦	PROPN
ijassa-781	354	57	prs	prs	NOUN
ijassa-781	354	58	◦	◦	NOUN
ijassa-781	354	59	h	h	NOUN
ijassa-781	354	60	:	:	PUNCT
ijassa-781	355	1	g	g	X
ijassa-781	355	2	⇉	⇉	PROPN
ijassa-781	356	1	p	p	X
ijassa-781	356	2			PROPN
ijassa-781	356	3	s.	s.	PROPN
ijassa-781	356	4	if	if	SCONJ
ijassa-781	356	5	h	h	NOUN
ijassa-781	356	6	satisfies	satisfy	VERB
ijassa-781	356	7	this	this	DET
ijassa-781	356	8	condition	condition	NOUN
ijassa-781	356	9	,	,	PUNCT
ijassa-781	356	10	then	then	ADV
ijassa-781	356	11	,	,	PUNCT
ijassa-781	356	12	by	by	ADP
ijassa-781	356	13	the	the	DET
ijassa-781	356	14	construction	construction	NOUN
ijassa-781	356	15	of	of	ADP
ijassa-781	356	16	a	a	DET
ijassa-781	356	17	pushout	pushout	NOUN
ijassa-781	356	18	via	via	ADP
ijassa-781	356	19	a	a	DET
ijassa-781	356	20	coequalizer	coequalizer	NOUN
ijassa-781	356	21	,	,	PUNCT
ijassa-781	356	22	the	the	DET
ijassa-781	356	23	maps	map	NOUN
ijassa-781	356	24	p	p	NOUN
ijassa-781	356	25	and	and	CCONJ
ijassa-781	356	26	s	s	PRON
ijassa-781	356	27	specify	specify	VERB
ijassa-781	356	28	the	the	DET
ijassa-781	356	29	pushout	pushout	NOUN
ijassa-781	356	30	of	of	ADP
ijassa-781	356	31	the	the	DET
ijassa-781	356	32	pair	pair	NOUN
ijassa-781	356	33	prp	prp	NOUN
ijassa-781	356	34	◦	◦	NOUN
ijassa-781	356	35	h	h	NOUN
ijassa-781	356	36	:	:	PUNCT
ijassa-781	356	37	p	p	X
ijassa-781	356	38			X
ijassa-781	356	39	g	g	NOUN
ijassa-781	356	40			NOUN
ijassa-781	356	41	s	s	AUX
ijassa-781	356	42	:	:	PUNCT
ijassa-781	356	43	prs	prs	VERB
ijassa-781	356	44	◦	◦	NOUN
ijassa-781	356	45	h.	h.	NOUN
ijassa-781	356	46	conversely	conversely	ADV
ijassa-781	356	47	,	,	PUNCT
ijassa-781	356	48	assume	assume	VERB
ijassa-781	356	49	that	that	SCONJ
ijassa-781	356	50	p	p	PROPN
ijassa-781	356	51	and	and	CCONJ
ijassa-781	356	52	s	s	AUX
ijassa-781	356	53	specify	specify	VERB
ijassa-781	356	54	the	the	DET
ijassa-781	356	55	pushout	pushout	NOUN
ijassa-781	356	56	of	of	ADP
ijassa-781	356	57	some	some	DET
ijassa-781	356	58	pair	pair	NOUN
ijassa-781	356	59	of	of	ADP
ijassa-781	356	60	maps	map	NOUN
ijassa-781	356	61	f	f	NOUN
ijassa-781	356	62	:	:	PUNCT
ijassa-781	357	1	p	p	X
ijassa-781	357	2			X
ijassa-781	357	3	g	g	NOUN
ijassa-781	357	4			PUNCT
ijassa-781	357	5	s	s	VERB
ijassa-781	357	6	:	:	PUNCT
ijassa-781	357	7	g.	g.	PROPN
ijassa-781	357	8	let	let	VERB
ijassa-781	357	9	h	h	NOUN
ijassa-781	357	10	=	=	SYM
ijassa-781	357	11	f	f	PROPN
ijassa-781	357	12	,	,	PUNCT
ijassa-781	357	13	g	g	NOUN
ijassa-781	357	14	:	:	PUNCT
ijassa-781	357	15	g	g	NOUN
ijassa-781	357	16			NOUN
ijassa-781	358	1	p	p	DET
ijassa-781	358	2	×	×	NOUN
ijassa-781	358	3	s	s	X
ijassa-781	358	4	:	:	PUNCT
ijassa-781	358	5	x	x	SYM
ijassa-781	358	6	↦	↦	PROPN
ijassa-781	358	7	(	(	PUNCT
ijassa-781	358	8	f(x	f(x	PROPN
ijassa-781	358	9	)	)	PUNCT
ijassa-781	358	10	,	,	PUNCT
ijassa-781	358	11	g(x	g(x	NOUN
ijassa-781	358	12	)	)	PUNCT
ijassa-781	358	13	)	)	PUNCT
ijassa-781	358	14	.	.	PUNCT
ijassa-781	359	1	leveraging	leverage	VERB
ijassa-781	359	2	category	category	NOUN
ijassa-781	359	3	theory	theory	NOUN
ijassa-781	359	4	in	in	ADP
ijassa-781	359	5	model	model	NOUN
ijassa-781	359	6	based	base	VERB
ijassa-781	359	7	enterprise	enterprise	NOUN
ijassa-781	359	8	63	63	NUM
ijassa-781	359	9	copyright	copyright	NOUN
ijassa-781	359	10	©	©	PROPN
ijassa-781	359	11	2020	2020	NUM
ijassa-781	359	12	assa	assa	NOUN
ijassa-781	359	13	.	.	PUNCT
ijassa-781	360	1	adv	adv	PROPN
ijassa-781	360	2	.	.	PUNCT
ijassa-781	361	1	in	in	ADP
ijassa-781	361	2	systems	system	NOUN
ijassa-781	361	3	science	science	NOUN
ijassa-781	361	4	and	and	CCONJ
ijassa-781	361	5	appl	appl	NOUN
ijassa-781	361	6	.	.	PUNCT
ijassa-781	362	1	(	(	PUNCT
ijassa-781	362	2	2020	2020	NUM
ijassa-781	362	3	)	)	PUNCT
ijassa-781	362	4	(	(	PUNCT
ijassa-781	362	5	3	3	X
ijassa-781	362	6	)	)	PUNCT
ijassa-781	362	7	if	if	SCONJ
ijassa-781	362	8	the	the	DET
ijassa-781	362	9	map	map	NOUN
ijassa-781	362	10	[	[	X
ijassa-781	362	11	p	p	X
ijassa-781	362	12	,	,	PUNCT
ijassa-781	362	13	s	s	AUX
ijassa-781	362	14	]	]	X
ijassa-781	362	15	is	be	AUX
ijassa-781	362	16	bijective	bijective	ADJ
ijassa-781	362	17	,	,	PUNCT
ijassa-781	362	18	than	than	SCONJ
ijassa-781	362	19	its	its	PRON
ijassa-781	362	20	kernel	kernel	NOUN
ijassa-781	362	21	equivalence	equivalence	NOUN
ijassa-781	362	22	relation	relation	NOUN
ijassa-781	362	23	is	be	AUX
ijassa-781	362	24	discrete	discrete	ADJ
ijassa-781	362	25	(	(	PUNCT
ijassa-781	362	26	coincides	coincide	NOUN
ijassa-781	362	27	with	with	ADP
ijassa-781	362	28	the	the	DET
ijassa-781	362	29	identity	identity	NOUN
ijassa-781	362	30	)	)	PUNCT
ijassa-781	362	31	.	.	PUNCT
ijassa-781	363	1	hence	hence	ADV
ijassa-781	363	2	,	,	PUNCT
ijassa-781	363	3	a	a	DET
ijassa-781	363	4	pair	pair	NOUN
ijassa-781	363	5	of	of	ADP
ijassa-781	363	6	maps	map	NOUN
ijassa-781	363	7	,	,	PUNCT
ijassa-781	363	8	constructed	construct	VERB
ijassa-781	363	9	from	from	ADP
ijassa-781	363	10	a	a	DET
ijassa-781	363	11	map	map	NOUN
ijassa-781	363	12	h	h	NOUN
ijassa-781	363	13	:	:	PUNCT
ijassa-781	363	14	g	g	NOUN
ijassa-781	363	15			NOUN
ijassa-781	364	1	p	p	DET
ijassa-781	364	2	×	×	NOUN
ijassa-781	364	3	s	s	VERB
ijassa-781	364	4	composed	compose	VERB
ijassa-781	364	5	with	with	ADP
ijassa-781	364	6	projections	projection	NOUN
ijassa-781	364	7	as	as	ADP
ijassa-781	364	8	in	in	ADP
ijassa-781	364	9	the	the	DET
ijassa-781	364	10	proof	proof	NOUN
ijassa-781	364	11	of	of	ADP
ijassa-781	364	12	(	(	PUNCT
ijassa-781	364	13	2	2	NUM
ijassa-781	364	14	)	)	PUNCT
ijassa-781	364	15	above	above	ADV
ijassa-781	364	16	,	,	PUNCT
ijassa-781	364	17	may	may	AUX
ijassa-781	364	18	have	have	VERB
ijassa-781	364	19	a	a	DET
ijassa-781	364	20	pushout	pushout	NOUN
ijassa-781	364	21	with	with	ADP
ijassa-781	364	22	such	such	ADJ
ijassa-781	364	23	edges	edge	NOUN
ijassa-781	364	24	p	p	NOUN
ijassa-781	364	25	and	and	CCONJ
ijassa-781	364	26	s	s	VERB
ijassa-781	364	27	only	only	ADV
ijassa-781	364	28	if	if	SCONJ
ijassa-781	364	29	the	the	DET
ijassa-781	364	30	set	set	NOUN
ijassa-781	364	31	h(g	h(g	NOUN
ijassa-781	364	32	)	)	PUNCT
ijassa-781	364	33	is	be	AUX
ijassa-781	364	34	empty	empty	ADJ
ijassa-781	364	35	,	,	PUNCT
ijassa-781	364	36	which	which	PRON
ijassa-781	364	37	implies	imply	VERB
ijassa-781	364	38	that	that	SCONJ
ijassa-781	364	39	g	g	PROPN
ijassa-781	364	40	itself	itself	PRON
ijassa-781	364	41	is	be	AUX
ijassa-781	364	42	empty	empty	ADJ
ijassa-781	364	43	.	.	PUNCT
ijassa-781	365	1	indeed	indeed	ADV
ijassa-781	365	2	,	,	PUNCT
ijassa-781	365	3	the	the	DET
ijassa-781	365	4	pair	pair	NOUN
ijassa-781	365	5	of	of	ADP
ijassa-781	365	6	empty	empty	ADJ
ijassa-781	365	7	maps	map	NOUN
ijassa-781	365	8	p	p	X
ijassa-781	365	9			NOUN
ijassa-781	365	10			ADJ
ijassa-781	365	11			PRON
ijassa-781	365	12	s	s	VERB
ijassa-781	365	13	is	be	AUX
ijassa-781	365	14	the	the	DET
ijassa-781	365	15	only	only	ADJ
ijassa-781	365	16	one	one	NUM
ijassa-781	365	17	that	that	PRON
ijassa-781	365	18	has	have	VERB
ijassa-781	365	19	a	a	DET
ijassa-781	365	20	pushout	pushout	NOUN
ijassa-781	365	21	with	with	ADP
ijassa-781	365	22	such	such	ADJ
ijassa-781	365	23	edges	edge	NOUN
ijassa-781	365	24	.	.	PUNCT
ijassa-781	366	1	conversely	conversely	ADV
ijassa-781	366	2	,	,	PUNCT
ijassa-781	366	3	assume	assume	VERB
ijassa-781	366	4	that	that	SCONJ
ijassa-781	366	5	the	the	DET
ijassa-781	366	6	map	map	NOUN
ijassa-781	366	7	[	[	X
ijassa-781	366	8	p	p	X
ijassa-781	366	9	,	,	PUNCT
ijassa-781	366	10	s	s	AUX
ijassa-781	366	11	]	]	X
ijassa-781	366	12	is	be	AUX
ijassa-781	366	13	not	not	PART
ijassa-781	366	14	bijective	bijective	ADJ
ijassa-781	366	15	.	.	PUNCT
ijassa-781	367	1	if	if	SCONJ
ijassa-781	367	2	the	the	DET
ijassa-781	367	3	condition	condition	NOUN
ijassa-781	367	4	(	(	PUNCT
ijassa-781	367	5	1	1	X
ijassa-781	367	6	)	)	PUNCT
ijassa-781	367	7	does	do	AUX
ijassa-781	367	8	n’t	not	PART
ijassa-781	367	9	hold	hold	VERB
ijassa-781	367	10	,	,	PUNCT
ijassa-781	367	11	then	then	ADV
ijassa-781	367	12	no	no	DET
ijassa-781	367	13	pushout	pushout	NOUN
ijassa-781	367	14	exists	exist	VERB
ijassa-781	367	15	with	with	ADP
ijassa-781	367	16	edges	edge	NOUN
ijassa-781	367	17	p	p	NOUN
ijassa-781	367	18	and	and	CCONJ
ijassa-781	367	19	s.	s.	PROPN
ijassa-781	367	20	otherwise	otherwise	ADV
ijassa-781	367	21	,	,	PUNCT
ijassa-781	367	22	the	the	DET
ijassa-781	367	23	set	set	ADJ
ijassa-781	367	24	g0	g0	NOUN
ijassa-781	367	25	constructed	construct	VERB
ijassa-781	367	26	above	above	ADV
ijassa-781	367	27	is	be	AUX
ijassa-781	367	28	nonempty	nonempty	ADJ
ijassa-781	367	29	,	,	PUNCT
ijassa-781	367	30	so	so	CCONJ
ijassa-781	367	31	any	any	DET
ijassa-781	367	32	larger	large	ADJ
ijassa-781	367	33	set	set	NOUN
ijassa-781	367	34	can	can	AUX
ijassa-781	367	35	be	be	AUX
ijassa-781	367	36	mapped	map	VERB
ijassa-781	367	37	onto	onto	ADP
ijassa-781	367	38	it	it	PRON
ijassa-781	367	39	.	.	PUNCT
ijassa-781	368	1	in	in	ADP
ijassa-781	368	2	this	this	DET
ijassa-781	368	3	case	case	NOUN
ijassa-781	368	4	,	,	PUNCT
ijassa-781	368	5	infinitely	infinitely	ADV
ijassa-781	368	6	many	many	ADJ
ijassa-781	368	7	pairwise	pairwise	NOUN
ijassa-781	368	8	nonisomorphic	nonisomorphic	ADJ
ijassa-781	368	9	v	v	ADV
ijassa-781	368	10	-	-	PUNCT
ijassa-781	368	11	shaped	shape	VERB
ijassa-781	368	12	diagrams	diagram	NOUN
ijassa-781	368	13	exist	exist	VERB
ijassa-781	368	14	that	that	PRON
ijassa-781	368	15	have	have	VERB
ijassa-781	368	16	a	a	DET
ijassa-781	368	17	pushout	pushout	NOUN
ijassa-781	368	18	specified	specify	VERB
ijassa-781	368	19	by	by	ADP
ijassa-781	368	20	edges	edge	NOUN
ijassa-781	368	21	p	p	NOUN
ijassa-781	368	22	and	and	CCONJ
ijassa-781	368	23	s	s	PART
ijassa-781	368	24	:	:	PUNCT
ijassa-781	368	25	by	by	ADP
ijassa-781	368	26	(	(	PUNCT
ijassa-781	368	27	2	2	NUM
ijassa-781	368	28	)	)	PUNCT
ijassa-781	368	29	,	,	PUNCT
ijassa-781	368	30	each	each	PRON
ijassa-781	368	31	of	of	ADP
ijassa-781	368	32	these	these	DET
ijassa-781	368	33	diagrams	diagram	NOUN
ijassa-781	368	34	is	be	AUX
ijassa-781	368	35	populated	populate	VERB
ijassa-781	368	36	with	with	ADP
ijassa-781	368	37	a	a	DET
ijassa-781	368	38	pair	pair	NOUN
ijassa-781	368	39	of	of	ADP
ijassa-781	368	40	maps	map	NOUN
ijassa-781	368	41	of	of	ADP
ijassa-781	368	42	the	the	DET
ijassa-781	368	43	kind	kind	ADJ
ijassa-781	368	44	f0	f0	PROPN
ijassa-781	368	45	◦	◦	NOUN
ijassa-781	368	46	e	e	NOUN
ijassa-781	368	47	:	:	PUNCT
ijassa-781	369	1	p	p	X
ijassa-781	369	2			X
ijassa-781	369	3	g	g	NOUN
ijassa-781	369	4			NOUN
ijassa-781	369	5	s	s	VERB
ijassa-781	369	6	:	:	PUNCT
ijassa-781	369	7	g0	g0	ADJ
ijassa-781	369	8	◦	◦	PROPN
ijassa-781	369	9	e	e	NOUN
ijassa-781	369	10	,	,	PUNCT
ijassa-781	369	11	where	where	SCONJ
ijassa-781	369	12	e	e	NOUN
ijassa-781	369	13	:	:	PUNCT
ijassa-781	369	14	g	g	PROPN
ijassa-781	369	15			PROPN
ijassa-781	369	16	g0	g0	PROPN
ijassa-781	369	17	is	be	AUX
ijassa-781	369	18	an	an	DET
ijassa-781	369	19	epimorphism	epimorphism	NOUN
ijassa-781	369	20	(	(	PUNCT
ijassa-781	369	21	surjection	surjection	NOUN
ijassa-781	369	22	)	)	PUNCT
ijassa-781	369	23	.	.	PUNCT
ijassa-781	370	1	□	□	PUNCT
ijassa-781	370	2	if	if	SCONJ
ijassa-781	370	3	the	the	DET
ijassa-781	370	4	maps	map	NOUN
ijassa-781	370	5	p	p	NOUN
ijassa-781	370	6	and	and	CCONJ
ijassa-781	370	7	s	s	NOUN
ijassa-781	370	8	are	be	AUX
ijassa-781	370	9	injective	injective	ADJ
ijassa-781	370	10	,	,	PUNCT
ijassa-781	370	11	then	then	ADV
ijassa-781	370	12	the	the	DET
ijassa-781	370	13	maps	map	NOUN
ijassa-781	370	14	f0	f0	PROPN
ijassa-781	370	15	and	and	CCONJ
ijassa-781	370	16	g0	g0	PROPN
ijassa-781	370	17	constructed	construct	VERB
ijassa-781	370	18	via	via	ADP
ijassa-781	370	19	the	the	DET
ijassa-781	370	20	pullback	pullback	NOUN
ijassa-781	370	21	in	in	ADP
ijassa-781	370	22	the	the	DET
ijassa-781	370	23	proof	proof	NOUN
ijassa-781	370	24	of	of	ADP
ijassa-781	370	25	proposition	proposition	NOUN
ijassa-781	370	26	2	2	NUM
ijassa-781	370	27	are	be	AUX
ijassa-781	370	28	injective	injective	ADJ
ijassa-781	370	29	as	as	ADV
ijassa-781	370	30	well	well	ADV
ijassa-781	370	31	[	[	X
ijassa-781	370	32	21	21	NUM
ijassa-781	370	33	,	,	PUNCT
ijassa-781	370	34	proposition	proposition	NOUN
ijassa-781	370	35	11.18	11.18	NUM
ijassa-781	370	36	]	]	PUNCT
ijassa-781	370	37	.	.	PUNCT
ijassa-781	371	1	hence	hence	ADV
ijassa-781	371	2	,	,	PUNCT
ijassa-781	371	3	the	the	DET
ijassa-781	371	4	method	method	NOUN
ijassa-781	371	5	of	of	ADP
ijassa-781	371	6	the	the	DET
ijassa-781	371	7	proof	proof	NOUN
ijassa-781	371	8	in	in	ADP
ijassa-781	371	9	many	many	ADJ
ijassa-781	371	10	cases	case	NOUN
ijassa-781	371	11	allows	allow	VERB
ijassa-781	371	12	to	to	PART
ijassa-781	371	13	recover	recover	VERB
ijassa-781	371	14	gluing	gluing	NOUN
ijassa-781	371	15	configurations	configuration	NOUN
ijassa-781	371	16	in	in	ADP
ijassa-781	371	17	the	the	DET
ijassa-781	371	18	category	category	NOUN
ijassa-781	371	19	of	of	ADP
ijassa-781	371	20	solid	solid	ADJ
ijassa-781	371	21	body	body	NOUN
ijassa-781	371	22	modeling	model	VERB
ijassa-781	371	23	sbm	sbm	PROPN
ijassa-781	371	24	.	.	PUNCT
ijassa-781	372	1	for	for	ADP
ijassa-781	372	2	instance	instance	NOUN
ijassa-781	372	3	,	,	PUNCT
ijassa-781	372	4	recovering	recover	VERB
ijassa-781	372	5	the	the	DET
ijassa-781	372	6	glue	glue	NOUN
ijassa-781	372	7	for	for	ADP
ijassa-781	372	8	the	the	DET
ijassa-781	372	9	assembly	assembly	NOUN
ijassa-781	372	10	task	task	NOUN
ijassa-781	372	11	m3	m3	PROPN
ijassa-781	372	12	from	from	ADP
ijassa-781	372	13	fig	fig	NOUN
ijassa-781	372	14	.	.	PUNCT
ijassa-781	373	1	1	1	NUM
ijassa-781	373	2	by	by	ADP
ijassa-781	373	3	the	the	DET
ijassa-781	373	4	pullback	pullback	NOUN
ijassa-781	373	5	yields	yield	VERB
ijassa-781	373	6	a	a	DET
ijassa-781	373	7	pushout	pushout	NOUN
ijassa-781	373	8	isomorphic	isomorphic	ADJ
ijassa-781	373	9	to	to	ADP
ijassa-781	373	10	the	the	DET
ijassa-781	373	11	one	one	NOUN
ijassa-781	373	12	shown	show	VERB
ijassa-781	373	13	in	in	ADP
ijassa-781	373	14	fig	fig	NOUN
ijassa-781	373	15	.	.	PUNCT
ijassa-781	374	1	4	4	X
ijassa-781	374	2	.	.	X
ijassa-781	374	3	proposition	proposition	NOUN
ijassa-781	374	4	2	2	NUM
ijassa-781	374	5	can	can	AUX
ijassa-781	374	6	also	also	ADV
ijassa-781	374	7	be	be	AUX
ijassa-781	374	8	adapted	adapt	VERB
ijassa-781	374	9	for	for	ADP
ijassa-781	374	10	many	many	ADJ
ijassa-781	374	11	familiar	familiar	ADJ
ijassa-781	374	12	categories	category	NOUN
ijassa-781	374	13	of	of	ADP
ijassa-781	374	14	sets	set	NOUN
ijassa-781	374	15	with	with	ADP
ijassa-781	374	16	structure	structure	NOUN
ijassa-781	374	17	.	.	PUNCT
ijassa-781	375	1	in	in	ADP
ijassa-781	375	2	such	such	DET
ijassa-781	375	3	a	a	DET
ijassa-781	375	4	category	category	NOUN
ijassa-781	375	5	,	,	PUNCT
ijassa-781	375	6	the	the	DET
ijassa-781	375	7	solution	solution	NOUN
ijassa-781	375	8	existence	existence	NOUN
ijassa-781	375	9	condition	condition	NOUN
ijassa-781	375	10	stated	state	VERB
ijassa-781	375	11	for	for	ADP
ijassa-781	375	12	a	a	DET
ijassa-781	375	13	pair	pair	NOUN
ijassa-781	375	14	p	p	NOUN
ijassa-781	375	15	:	:	PUNCT
ijassa-781	375	16	p	p	NOUN
ijassa-781	375	17			PUNCT
ijassa-781	375	18	r	r	NOUN
ijassa-781	375	19			NOUN
ijassa-781	375	20	s	s	PART
ijassa-781	375	21	:	:	PUNCT
ijassa-781	375	22	s	s	X
ijassa-781	375	23	in	in	ADP
ijassa-781	375	24	proposition	proposition	NOUN
ijassa-781	375	25	2(1	2(1	NUM
ijassa-781	375	26	)	)	PUNCT
ijassa-781	375	27	is	be	AUX
ijassa-781	375	28	augmented	augment	VERB
ijassa-781	375	29	with	with	ADP
ijassa-781	375	30	a	a	DET
ijassa-781	375	31	suitable	suitable	ADJ
ijassa-781	375	32	structure	structure	NOUN
ijassa-781	375	33	preservation	preservation	NOUN
ijassa-781	375	34	requirement	requirement	NOUN
ijassa-781	375	35	.	.	PUNCT
ijassa-781	376	1	one	one	NUM
ijassa-781	376	2	possible	possible	ADJ
ijassa-781	376	3	form	form	NOUN
ijassa-781	376	4	of	of	ADP
ijassa-781	376	5	such	such	DET
ijassa-781	376	6	a	a	DET
ijassa-781	376	7	requirement	requirement	NOUN
ijassa-781	376	8	is	be	AUX
ijassa-781	376	9	the	the	DET
ijassa-781	376	10	following	follow	VERB
ijassa-781	376	11	regularity	regularity	NOUN
ijassa-781	376	12	condition	condition	NOUN
ijassa-781	376	13	:	:	PUNCT
ijassa-781	376	14	the	the	DET
ijassa-781	376	15	canonical	canonical	ADJ
ijassa-781	376	16	morphism	morphism	NOUN
ijassa-781	376	17	[	[	X
ijassa-781	376	18	p	p	X
ijassa-781	376	19	,	,	PUNCT
ijassa-781	376	20	s	s	AUX
ijassa-781	376	21	]	]	X
ijassa-781	376	22	is	be	AUX
ijassa-781	376	23	a	a	DET
ijassa-781	376	24	regular	regular	ADJ
ijassa-781	376	25	epimorphism	epimorphism	NOUN
ijassa-781	376	26	.	.	PUNCT
ijassa-781	377	1	at	at	ADP
ijassa-781	377	2	least	least	ADJ
ijassa-781	377	3	,	,	PUNCT
ijassa-781	377	4	by	by	ADP
ijassa-781	377	5	the	the	DET
ijassa-781	377	6	construction	construction	NOUN
ijassa-781	377	7	of	of	ADP
ijassa-781	377	8	a	a	DET
ijassa-781	377	9	pushout	pushout	NOUN
ijassa-781	377	10	via	via	ADP
ijassa-781	377	11	a	a	DET
ijassa-781	377	12	coequalizer	coequalizer	NOUN
ijassa-781	377	13	,	,	PUNCT
ijassa-781	377	14	the	the	DET
ijassa-781	377	15	regularity	regularity	NOUN
ijassa-781	377	16	condition	condition	NOUN
ijassa-781	377	17	is	be	AUX
ijassa-781	377	18	necessary	necessary	ADJ
ijassa-781	377	19	for	for	SCONJ
ijassa-781	377	20	morphisms	morphism	NOUN
ijassa-781	377	21	p	p	NOUN
ijassa-781	377	22	and	and	CCONJ
ijassa-781	377	23	s	s	VERB
ijassa-781	377	24	to	to	PART
ijassa-781	377	25	be	be	AUX
ijassa-781	377	26	edges	edge	NOUN
ijassa-781	377	27	of	of	ADP
ijassa-781	377	28	some	some	DET
ijassa-781	377	29	pushout	pushout	NOUN
ijassa-781	377	30	in	in	ADP
ijassa-781	377	31	any	any	DET
ijassa-781	377	32	category	category	NOUN
ijassa-781	377	33	where	where	SCONJ
ijassa-781	377	34	the	the	DET
ijassa-781	377	35	sum	sum	NOUN
ijassa-781	377	36	p	p	PROPN
ijassa-781	377	37			NOUN
ijassa-781	377	38	s	s	PART
ijassa-781	377	39	exists	exist	VERB
ijassa-781	377	40	.	.	PUNCT
ijassa-781	378	1	the	the	DET
ijassa-781	378	2	glue	glue	NOUN
ijassa-781	378	3	can	can	AUX
ijassa-781	378	4	be	be	AUX
ijassa-781	378	5	constructed	construct	VERB
ijassa-781	378	6	,	,	PUNCT
ijassa-781	378	7	as	as	ADP
ijassa-781	378	8	in	in	ADP
ijassa-781	378	9	set	set	NOUN
ijassa-781	378	10	,	,	PUNCT
ijassa-781	378	11	via	via	ADP
ijassa-781	378	12	the	the	DET
ijassa-781	378	13	pullback	pullback	NOUN
ijassa-781	378	14	of	of	ADP
ijassa-781	378	15	the	the	DET
ijassa-781	378	16	pair	pair	NOUN
ijassa-781	378	17	:	:	PUNCT
ijassa-781	378	18	the	the	DET
ijassa-781	378	19	statement	statement	NOUN
ijassa-781	378	20	dual	dual	ADV
ijassa-781	378	21	of	of	ADP
ijassa-781	378	22	[	[	X
ijassa-781	378	23	21	21	NUM
ijassa-781	378	24	,	,	PUNCT
ijassa-781	378	25	lemma	lemma	PROPN
ijassa-781	378	26	11.15(1	11.15(1	NUM
ijassa-781	378	27	)	)	PUNCT
ijassa-781	378	28	]	]	PUNCT
ijassa-781	378	29	implies	imply	VERB
ijassa-781	378	30	that	that	SCONJ
ijassa-781	378	31	in	in	ADP
ijassa-781	378	32	any	any	DET
ijassa-781	378	33	category	category	NOUN
ijassa-781	378	34	,	,	PUNCT
ijassa-781	378	35	if	if	SCONJ
ijassa-781	378	36	a	a	DET
ijassa-781	378	37	pair	pair	NOUN
ijassa-781	378	38	of	of	ADP
ijassa-781	378	39	morphisms	morphism	NOUN
ijassa-781	378	40	with	with	ADP
ijassa-781	378	41	the	the	DET
ijassa-781	378	42	same	same	ADJ
ijassa-781	378	43	codomain	codomain	NOUN
ijassa-781	378	44	admits	admit	VERB
ijassa-781	378	45	both	both	DET
ijassa-781	378	46	pushout	pushout	NOUN
ijassa-781	378	47	recovery	recovery	NOUN
ijassa-781	378	48	and	and	CCONJ
ijassa-781	378	49	a	a	DET
ijassa-781	378	50	pullback	pullback	NOUN
ijassa-781	378	51	,	,	PUNCT
ijassa-781	378	52	then	then	ADV
ijassa-781	378	53	the	the	DET
ijassa-781	378	54	latter	latter	ADJ
ijassa-781	378	55	is	be	AUX
ijassa-781	378	56	the	the	DET
ijassa-781	378	57	former	former	ADJ
ijassa-781	378	58	,	,	PUNCT
ijassa-781	378	59	i.e.	i.e.	X
ijassa-781	378	60	,	,	PUNCT
ijassa-781	378	61	the	the	DET
ijassa-781	378	62	pullback	pullback	NOUN
ijassa-781	378	63	is	be	AUX
ijassa-781	378	64	at	at	ADP
ijassa-781	378	65	the	the	DET
ijassa-781	378	66	same	same	ADJ
ijassa-781	378	67	time	time	NOUN
ijassa-781	378	68	a	a	DET
ijassa-781	378	69	pushout	pushout	NOUN
ijassa-781	378	70	,	,	PUNCT
ijassa-781	378	71	so	so	SCONJ
ijassa-781	378	72	it	it	PRON
ijassa-781	378	73	provides	provide	VERB
ijassa-781	378	74	a	a	DET
ijassa-781	378	75	solution	solution	NOUN
ijassa-781	378	76	to	to	ADP
ijassa-781	378	77	the	the	DET
ijassa-781	378	78	pushout	pushout	NOUN
ijassa-781	378	79	recovery	recovery	NOUN
ijassa-781	378	80	problem	problem	NOUN
ijassa-781	378	81	.	.	PUNCT
ijassa-781	379	1	other	other	ADJ
ijassa-781	379	2	glues	glue	NOUN
ijassa-781	379	3	can	can	AUX
ijassa-781	379	4	be	be	AUX
ijassa-781	379	5	constructed	construct	VERB
ijassa-781	379	6	similarly	similarly	ADV
ijassa-781	379	7	to	to	ADP
ijassa-781	379	8	proposition	proposition	NOUN
ijassa-781	379	9	2(2	2(2	NUM
ijassa-781	379	10	)	)	PUNCT
ijassa-781	379	11	that	that	PRON
ijassa-781	379	12	,	,	PUNCT
ijassa-781	379	13	restated	restate	VERB
ijassa-781	379	14	in	in	ADP
ijassa-781	379	15	terms	term	NOUN
ijassa-781	379	16	of	of	ADP
ijassa-781	379	17	coequalizer	coequalizer	NOUN
ijassa-781	379	18	as	as	ADP
ijassa-781	379	19	in	in	ADP
ijassa-781	379	20	its	its	PRON
ijassa-781	379	21	proof	proof	NOUN
ijassa-781	379	22	,	,	PUNCT
ijassa-781	379	23	holds	hold	VERB
ijassa-781	379	24	in	in	ADP
ijassa-781	379	25	any	any	DET
ijassa-781	379	26	category	category	NOUN
ijassa-781	379	27	where	where	SCONJ
ijassa-781	379	28	both	both	CCONJ
ijassa-781	379	29	the	the	DET
ijassa-781	379	30	product	product	NOUN
ijassa-781	379	31	p	p	X
ijassa-781	379	32	×	×	NOUN
ijassa-781	379	33	s	s	NOUN
ijassa-781	380	1	and	and	CCONJ
ijassa-781	380	2	the	the	DET
ijassa-781	380	3	sum	sum	NOUN
ijassa-781	380	4	p	p	PROPN
ijassa-781	380	5			NOUN
ijassa-781	380	6	s	s	PART
ijassa-781	380	7	exist	exist	NOUN
ijassa-781	380	8	.	.	PUNCT
ijassa-781	381	1	analogues	analogue	NOUN
ijassa-781	381	2	of	of	ADP
ijassa-781	381	3	proposition	proposition	NOUN
ijassa-781	381	4	2(3	2(3	NUM
ijassa-781	381	5	)	)	PUNCT
ijassa-781	381	6	can	can	AUX
ijassa-781	381	7	be	be	AUX
ijassa-781	381	8	obtained	obtain	VERB
ijassa-781	381	9	as	as	ADV
ijassa-781	381	10	well	well	ADV
ijassa-781	381	11	.	.	PUNCT
ijassa-781	382	1	the	the	DET
ijassa-781	382	2	above	above	ADJ
ijassa-781	382	3	considerations	consideration	NOUN
ijassa-781	382	4	apply	apply	VERB
ijassa-781	382	5	for	for	ADP
ijassa-781	382	6	the	the	DET
ijassa-781	382	7	category	category	NOUN
ijassa-781	382	8	of	of	ADP
ijassa-781	382	9	discrete	discrete	ADJ
ijassa-781	382	10	-	-	PUNCT
ijassa-781	382	11	event	event	NOUN
ijassa-781	382	12	simulation	simulation	NOUN
ijassa-781	382	13	pomset	pomset	NOUN
ijassa-781	382	14	.	.	PUNCT
ijassa-781	383	1	for	for	ADP
ijassa-781	383	2	a	a	DET
ijassa-781	383	3	pair	pair	NOUN
ijassa-781	383	4	of	of	ADP
ijassa-781	383	5	maps	map	NOUN
ijassa-781	383	6	p	p	NOUN
ijassa-781	383	7	:	:	PUNCT
ijassa-781	383	8	p	p	NOUN
ijassa-781	383	9			PUNCT
ijassa-781	383	10	r	r	NOUN
ijassa-781	383	11			NOUN
ijassa-781	383	12	s	s	PART
ijassa-781	383	13	:	:	PUNCT
ijassa-781	383	14	s	s	VERB
ijassa-781	383	15	that	that	PRON
ijassa-781	383	16	preserve	preserve	VERB
ijassa-781	383	17	the	the	DET
ijassa-781	383	18	order	order	NOUN
ijassa-781	383	19	and	and	CCONJ
ijassa-781	383	20	the	the	DET
ijassa-781	383	21	labeling	labeling	NOUN
ijassa-781	383	22	,	,	PUNCT
ijassa-781	383	23	the	the	DET
ijassa-781	383	24	pushout	pushout	NOUN
ijassa-781	383	25	recovery	recovery	NOUN
ijassa-781	383	26	problem	problem	NOUN
ijassa-781	383	27	has	have	VERB
ijassa-781	383	28	a	a	DET
ijassa-781	383	29	solution	solution	NOUN
ijassa-781	383	30	if	if	SCONJ
ijassa-781	383	31	and	and	CCONJ
ijassa-781	383	32	only	only	ADV
ijassa-781	383	33	if	if	SCONJ
ijassa-781	383	34	the	the	DET
ijassa-781	383	35	pair	pair	NOUN
ijassa-781	383	36	satisfies	satisfy	VERB
ijassa-781	383	37	both	both	CCONJ
ijassa-781	383	38	the	the	DET
ijassa-781	383	39	condition	condition	NOUN
ijassa-781	383	40	of	of	ADP
ijassa-781	383	41	proposition	proposition	NOUN
ijassa-781	383	42	2(1	2(1	NUM
ijassa-781	383	43	)	)	PUNCT
ijassa-781	383	44	and	and	CCONJ
ijassa-781	383	45	the	the	DET
ijassa-781	383	46	regularity	regularity	NOUN
ijassa-781	383	47	condition	condition	NOUN
ijassa-781	383	48	.	.	PUNCT
ijassa-781	384	1	the	the	DET
ijassa-781	384	2	example	example	NOUN
ijassa-781	384	3	glue	glue	NOUN
ijassa-781	384	4	is	be	AUX
ijassa-781	384	5	the	the	DET
ijassa-781	384	6	set	set	VERB
ijassa-781	384	7	g0	g0	NOUN
ijassa-781	384	8	constructed	construct	VERB
ijassa-781	384	9	as	as	ADP
ijassa-781	384	10	in	in	ADP
ijassa-781	384	11	the	the	DET
ijassa-781	384	12	proof	proof	NOUN
ijassa-781	384	13	of	of	ADP
ijassa-781	384	14	proposition	proposition	NOUN
ijassa-781	384	15	2	2	NUM
ijassa-781	384	16	and	and	CCONJ
ijassa-781	384	17	endowed	endow	VERB
ijassa-781	384	18	with	with	ADP
ijassa-781	384	19	the	the	DET
ijassa-781	384	20	order	order	NOUN
ijassa-781	384	21	and	and	CCONJ
ijassa-781	384	22	the	the	DET
ijassa-781	384	23	labeling	labeling	NOUN
ijassa-781	384	24	inherited	inherit	VERB
ijassa-781	384	25	from	from	ADP
ijassa-781	384	26	the	the	DET
ijassa-781	384	27	product	product	NOUN
ijassa-781	384	28	p	p	X
ijassa-781	384	29	×	×	PROPN
ijassa-781	384	30	s.	s.	PROPN
ijassa-781	384	31	in	in	ADP
ijassa-781	384	32	enterprise	enterprise	NOUN
ijassa-781	384	33	simulation	simulation	NOUN
ijassa-781	384	34	,	,	PUNCT
ijassa-781	384	35	such	such	DET
ijassa-781	384	36	a	a	DET
ijassa-781	384	37	glue	glue	NOUN
ijassa-781	384	38	represents	represent	VERB
ijassa-781	384	39	a	a	DET
ijassa-781	384	40	plant	plant	NOUN
ijassa-781	384	41	control	control	NOUN
ijassa-781	384	42	system	system	NOUN
ijassa-781	384	43	that	that	PRON
ijassa-781	384	44	ensures	ensure	VERB
ijassa-781	384	45	coherent	coherent	ADJ
ijassa-781	384	46	operation	operation	NOUN
ijassa-781	384	47	of	of	ADP
ijassa-781	384	48	manufacturing	manufacturing	NOUN
ijassa-781	384	49	equipment	equipment	NOUN
ijassa-781	384	50	units	unit	NOUN
ijassa-781	384	51	p	p	NOUN
ijassa-781	384	52	and	and	CCONJ
ijassa-781	384	53	s	s	AUX
ijassa-781	384	54	jointly	jointly	ADV
ijassa-781	384	55	executing	execute	VERB
ijassa-781	384	56	the	the	DET
ijassa-781	384	57	target	target	NOUN
ijassa-781	384	58	process	process	NOUN
ijassa-781	384	59	r.	r.	VERB
ijassa-781	384	60	the	the	DET
ijassa-781	384	61	construction	construction	NOUN
ijassa-781	384	62	of	of	ADP
ijassa-781	384	63	the	the	DET
ijassa-781	384	64	glue	glue	NOUN
ijassa-781	384	65	demonstrates	demonstrate	VERB
ijassa-781	384	66	how	how	SCONJ
ijassa-781	384	67	category	category	NOUN
ijassa-781	384	68	theory	theory	NOUN
ijassa-781	384	69	can	can	AUX
ijassa-781	384	70	be	be	AUX
ijassa-781	384	71	leveraged	leverage	VERB
ijassa-781	384	72	to	to	ADP
ijassa-781	384	73	automate	automate	VERB
ijassa-781	384	74	control	control	NOUN
ijassa-781	384	75	system	system	NOUN
ijassa-781	384	76	programming	programming	NOUN
ijassa-781	384	77	.	.	PUNCT
ijassa-781	385	1	this	this	DET
ijassa-781	385	2	kind	kind	NOUN
ijassa-781	385	3	of	of	ADP
ijassa-781	385	4	automation	automation	NOUN
ijassa-781	385	5	is	be	AUX
ijassa-781	385	6	in	in	ADP
ijassa-781	385	7	demand	demand	NOUN
ijassa-781	385	8	for	for	ADP
ijassa-781	385	9	the	the	DET
ijassa-781	385	10	emerging	emerge	VERB
ijassa-781	385	11	approach	approach	NOUN
ijassa-781	385	12	to	to	ADP
ijassa-781	385	13	production	production	NOUN
ijassa-781	385	14	planning	planning	NOUN
ijassa-781	385	15	and	and	CCONJ
ijassa-781	385	16	operation	operation	NOUN
ijassa-781	385	17	on	on	ADP
ijassa-781	385	18	the	the	DET
ijassa-781	385	19	basis	basis	NOUN
ijassa-781	385	20	of	of	ADP
ijassa-781	385	21	a	a	DET
ijassa-781	385	22	digital	digital	ADJ
ijassa-781	385	23	twin	twin	NOUN
ijassa-781	386	1	[	[	X
ijassa-781	386	2	22	22	NUM
ijassa-781	386	3	]	]	PUNCT
ijassa-781	386	4	.	.	PUNCT
ijassa-781	387	1	for	for	ADP
ijassa-781	387	2	example	example	NOUN
ijassa-781	387	3	,	,	PUNCT
ijassa-781	387	4	recovering	recover	VERB
ijassa-781	387	5	a	a	DET
ijassa-781	387	6	glue	glue	NOUN
ijassa-781	387	7	of	of	ADP
ijassa-781	387	8	two	two	NUM
ijassa-781	387	9	upper	upper	ADJ
ijassa-781	387	10	maps	map	NOUN
ijassa-781	387	11	from	from	ADP
ijassa-781	387	12	fig	fig	NOUN
ijassa-781	387	13	.	.	PUNCT
ijassa-781	388	1	5	5	NUM
ijassa-781	388	2	by	by	ADP
ijassa-781	388	3	the	the	DET
ijassa-781	388	4	pullback	pullback	NOUN
ijassa-781	388	5	yields	yield	VERB
ijassa-781	388	6	a	a	DET
ijassa-781	388	7	control	control	NOUN
ijassa-781	388	8	program	program	NOUN
ijassa-781	388	9	specification	specification	NOUN
ijassa-781	388	10	isomorphic	isomorphic	ADJ
ijassa-781	388	11	to	to	ADP
ijassa-781	388	12	the	the	DET
ijassa-781	388	13	conveyor	conveyor	NOUN
ijassa-781	388	14	simulation	simulation	NOUN
ijassa-781	388	15	shown	show	VERB
ijassa-781	388	16	at	at	ADP
ijassa-781	388	17	the	the	DET
ijassa-781	388	18	bottom	bottom	NOUN
ijassa-781	388	19	.	.	PUNCT
ijassa-781	389	1	5	5	X
ijassa-781	389	2	.	.	X
ijassa-781	389	3	conclusion	conclusion	NOUN
ijassa-781	389	4	category	category	NOUN
ijassa-781	389	5	theory	theory	NOUN
ijassa-781	389	6	demonstrates	demonstrate	VERB
ijassa-781	389	7	significant	significant	ADJ
ijassa-781	389	8	potential	potential	NOUN
ijassa-781	389	9	in	in	ADP
ijassa-781	389	10	improving	improve	VERB
ijassa-781	389	11	model	model	NOUN
ijassa-781	389	12	-	-	PUNCT
ijassa-781	389	13	based	base	VERB
ijassa-781	389	14	enterprise	enterprise	NOUN
ijassa-781	389	15	performance	performance	NOUN
ijassa-781	389	16	.	.	PUNCT
ijassa-781	390	1	in	in	ADP
ijassa-781	390	2	particular	particular	ADJ
ijassa-781	390	3	,	,	PUNCT
ijassa-781	390	4	the	the	DET
ijassa-781	390	5	theory	theory	NOUN
ijassa-781	390	6	provides	provide	VERB
ijassa-781	390	7	mathematically	mathematically	ADV
ijassa-781	390	8	rigorous	rigorous	ADJ
ijassa-781	390	9	solutions	solution	NOUN
ijassa-781	390	10	to	to	PART
ijassa-781	390	11	direct	direct	VERB
ijassa-781	390	12	and	and	CCONJ
ijassa-781	390	13	inverse	inverse	NOUN
ijassa-781	390	14	problems	problem	NOUN
ijassa-781	390	15	associated	associate	VERB
ijassa-781	390	16	with	with	ADP
ijassa-781	390	17	assembling	assemble	VERB
ijassa-781	390	18	products	product	NOUN
ijassa-781	390	19	.	.	PUNCT
ijassa-781	391	1	a	a	DET
ijassa-781	391	2	number	number	NOUN
ijassa-781	391	3	of	of	ADP
ijassa-781	391	4	real	real	ADJ
ijassa-781	391	5	-	-	PUNCT
ijassa-781	391	6	world	world	NOUN
ijassa-781	391	7	64	64	NUM
ijassa-781	391	8	s.p	s.p	PROPN
ijassa-781	391	9	.	.	PROPN
ijassa-781	391	10	kovalyov	kovalyov	PROPN
ijassa-781	391	11	copyright	copyright	NOUN
ijassa-781	391	12	©	©	PROPN
ijassa-781	391	13	2020	2020	NUM
ijassa-781	391	14	assa	assa	PROPN
ijassa-781	391	15	adv	adv	PROPN
ijassa-781	391	16	.	.	PUNCT
ijassa-781	392	1	in	in	ADP
ijassa-781	392	2	systems	system	NOUN
ijassa-781	392	3	science	science	NOUN
ijassa-781	392	4	and	and	CCONJ
ijassa-781	392	5	appl	appl	NOUN
ijassa-781	392	6	.	.	PUNCT
ijassa-781	393	1	(	(	PUNCT
ijassa-781	393	2	2020	2020	NUM
ijassa-781	393	3	)	)	PUNCT
ijassa-781	394	1	examples	example	NOUN
ijassa-781	394	2	of	of	ADP
ijassa-781	394	3	such	such	ADJ
ijassa-781	394	4	problems	problem	NOUN
ijassa-781	394	5	can	can	AUX
ijassa-781	394	6	be	be	AUX
ijassa-781	394	7	found	find	VERB
ijassa-781	394	8	in	in	ADP
ijassa-781	394	9	the	the	DET
ijassa-781	394	10	cited	cite	VERB
ijassa-781	394	11	literature	literature	NOUN
ijassa-781	394	12	and	and	CCONJ
ijassa-781	394	13	elsewhere	elsewhere	ADV
ijassa-781	394	14	.	.	PUNCT
ijassa-781	395	1	yet	yet	ADV
ijassa-781	395	2	,	,	PUNCT
ijassa-781	395	3	theorems	theorem	NOUN
ijassa-781	395	4	and	and	CCONJ
ijassa-781	395	5	proofs	proof	NOUN
ijassa-781	395	6	are	be	AUX
ijassa-781	395	7	of	of	ADP
ijassa-781	395	8	little	little	ADJ
ijassa-781	395	9	utility	utility	NOUN
ijassa-781	395	10	to	to	ADP
ijassa-781	395	11	engineers	engineer	NOUN
ijassa-781	395	12	:	:	PUNCT
ijassa-781	395	13	in	in	ADP
ijassa-781	395	14	order	order	NOUN
ijassa-781	395	15	to	to	PART
ijassa-781	395	16	hand	hand	VERB
ijassa-781	395	17	category	category	NOUN
ijassa-781	395	18	theoretical	theoretical	ADJ
ijassa-781	395	19	techniques	technique	NOUN
ijassa-781	395	20	over	over	ADP
ijassa-781	395	21	to	to	ADP
ijassa-781	395	22	industry	industry	NOUN
ijassa-781	395	23	,	,	PUNCT
ijassa-781	395	24	they	they	PRON
ijassa-781	395	25	shall	shall	AUX
ijassa-781	395	26	be	be	AUX
ijassa-781	395	27	implemented	implement	VERB
ijassa-781	395	28	in	in	ADP
ijassa-781	395	29	appropriate	appropriate	ADJ
ijassa-781	395	30	software	software	NOUN
ijassa-781	395	31	tools	tool	NOUN
ijassa-781	395	32	.	.	PUNCT
ijassa-781	396	1	the	the	DET
ijassa-781	396	2	tools	tool	NOUN
ijassa-781	396	3	,	,	PUNCT
ijassa-781	396	4	given	give	VERB
ijassa-781	396	5	requirements	requirement	NOUN
ijassa-781	396	6	to	to	ADP
ijassa-781	396	7	the	the	DET
ijassa-781	396	8	target	target	NOUN
ijassa-781	396	9	product	product	NOUN
ijassa-781	396	10	(	(	PUNCT
ijassa-781	396	11	e.g.	e.g.	ADV
ijassa-781	396	12	,	,	PUNCT
ijassa-781	396	13	a	a	DET
ijassa-781	396	14	3d	3d	NOUN
ijassa-781	396	15	-	-	PUNCT
ijassa-781	396	16	model	model	NOUN
ijassa-781	396	17	)	)	PUNCT
ijassa-781	396	18	and	and	CCONJ
ijassa-781	396	19	to	to	ADP
ijassa-781	396	20	the	the	DET
ijassa-781	396	21	manufacturing	manufacture	VERB
ijassa-781	396	22	plant	plant	NOUN
ijassa-781	396	23	(	(	PUNCT
ijassa-781	396	24	e.g.	e.g.	ADV
ijassa-781	396	25	,	,	PUNCT
ijassa-781	396	26	a	a	DET
ijassa-781	396	27	factory	factory	NOUN
ijassa-781	396	28	simulation	simulation	NOUN
ijassa-781	396	29	)	)	PUNCT
ijassa-781	396	30	,	,	PUNCT
ijassa-781	396	31	would	would	AUX
ijassa-781	396	32	represent	represent	VERB
ijassa-781	396	33	and	and	CCONJ
ijassa-781	396	34	evaluate	evaluate	VERB
ijassa-781	396	35	them	they	PRON
ijassa-781	396	36	by	by	ADP
ijassa-781	396	37	means	mean	NOUN
ijassa-781	396	38	of	of	ADP
ijassa-781	396	39	category	category	NOUN
ijassa-781	396	40	theory	theory	NOUN
ijassa-781	396	41	as	as	SCONJ
ijassa-781	396	42	described	describe	VERB
ijassa-781	396	43	above	above	ADV
ijassa-781	396	44	,	,	PUNCT
ijassa-781	396	45	and	and	CCONJ
ijassa-781	396	46	then	then	ADV
ijassa-781	396	47	automatically	automatically	ADV
ijassa-781	396	48	synthesize	synthesize	VERB
ijassa-781	396	49	the	the	DET
ijassa-781	396	50	production	production	NOUN
ijassa-781	396	51	plan	plan	NOUN
ijassa-781	396	52	that	that	PRON
ijassa-781	396	53	is	be	AUX
ijassa-781	396	54	optimal	optimal	ADJ
ijassa-781	396	55	wrt	wrt	VERB
ijassa-781	396	56	specified	specify	VERB
ijassa-781	396	57	objective	objective	ADJ
ijassa-781	396	58	functors	functor	NOUN
ijassa-781	396	59	.	.	PUNCT
ijassa-781	397	1	provided	provide	VERB
ijassa-781	397	2	that	that	SCONJ
ijassa-781	397	3	such	such	ADJ
ijassa-781	397	4	synergy	synergy	NOUN
ijassa-781	397	5	between	between	ADP
ijassa-781	397	6	computer	computer	NOUN
ijassa-781	397	7	algebra	algebra	NOUN
ijassa-781	397	8	and	and	CCONJ
ijassa-781	397	9	optimization	optimization	NOUN
ijassa-781	397	10	algorithms	algorithm	NOUN
ijassa-781	397	11	will	will	AUX
ijassa-781	397	12	be	be	AUX
ijassa-781	397	13	achieved	achieve	VERB
ijassa-781	397	14	,	,	PUNCT
ijassa-781	397	15	the	the	DET
ijassa-781	397	16	tools	tool	NOUN
ijassa-781	397	17	will	will	AUX
ijassa-781	397	18	open	open	VERB
ijassa-781	397	19	new	new	ADJ
ijassa-781	397	20	horizons	horizon	NOUN
ijassa-781	397	21	in	in	ADP
ijassa-781	397	22	automatic	automatic	ADJ
ijassa-781	397	23	production	production	NOUN
ijassa-781	397	24	planning	planning	NOUN
ijassa-781	397	25	and	and	CCONJ
ijassa-781	397	26	generative	generative	ADJ
ijassa-781	397	27	design	design	NOUN
ijassa-781	397	28	.	.	PUNCT
ijassa-781	398	1	development	development	NOUN
ijassa-781	398	2	and	and	CCONJ
ijassa-781	398	3	deployment	deployment	NOUN
ijassa-781	398	4	of	of	ADP
ijassa-781	398	5	the	the	DET
ijassa-781	398	6	tools	tool	NOUN
ijassa-781	398	7	is	be	AUX
ijassa-781	398	8	a	a	DET
ijassa-781	398	9	major	major	ADJ
ijassa-781	398	10	area	area	NOUN
ijassa-781	398	11	for	for	ADP
ijassa-781	398	12	further	far	ADV
ijassa-781	398	13	theoretical	theoretical	ADJ
ijassa-781	398	14	and	and	CCONJ
ijassa-781	398	15	applied	apply	VERB
ijassa-781	398	16	research	research	NOUN
ijassa-781	398	17	.	.	PUNCT
ijassa-781	399	1	acknowledgements	acknowledgement	NOUN
ijassa-781	399	2	this	this	DET
ijassa-781	399	3	work	work	NOUN
ijassa-781	399	4	was	be	AUX
ijassa-781	399	5	supported	support	VERB
ijassa-781	399	6	by	by	ADP
ijassa-781	399	7	the	the	DET
ijassa-781	399	8	russian	russian	ADJ
ijassa-781	399	9	foundation	foundation	NOUN
ijassa-781	399	10	for	for	ADP
ijassa-781	399	11	basic	basic	ADJ
ijassa-781	399	12	research	research	NOUN
ijassa-781	399	13	(	(	PUNCT
ijassa-781	399	14	grant	grant	NOUN
ijassa-781	399	15	19	19	NUM
ijassa-781	399	16	-	-	PUNCT
ijassa-781	399	17	01100799	01100799	NUM
ijassa-781	399	18	)	)	PUNCT
ijassa-781	399	19	.	.	PUNCT
ijassa-781	400	1	references	reference	NOUN
ijassa-781	400	2	1	1	NUM
ijassa-781	400	3	.	.	PUNCT
ijassa-781	400	4	frechette	frechette	PROPN
ijassa-781	400	5	s.	s.	PROPN
ijassa-781	400	6	(	(	PUNCT
ijassa-781	400	7	2011	2011	NUM
ijassa-781	400	8	)	)	PUNCT
ijassa-781	400	9	.	.	PUNCT
ijassa-781	401	1	model	model	NOUN
ijassa-781	401	2	based	base	VERB
ijassa-781	401	3	enterprise	enterprise	NOUN
ijassa-781	401	4	for	for	ADP
ijassa-781	401	5	manufacturing	manufacturing	NOUN
ijassa-781	401	6	.	.	PUNCT
ijassa-781	402	1	nist	nist	NOUN
ijassa-781	402	2	,	,	PUNCT
ijassa-781	402	3	[	[	X
ijassa-781	402	4	online	online	X
ijassa-781	402	5	]	]	X
ijassa-781	402	6	.	.	PUNCT
ijassa-781	403	1	available	available	ADJ
ijassa-781	403	2	:	:	PUNCT
ijassa-781	404	1	https://ws680.nist.gov/publication/get_pdf.cfm?pub_id=908343	https://ws680.nist.gov/publication/get_pdf.cfm?pub_id=908343	PROPN
ijassa-781	404	2	2	2	NUM
ijassa-781	404	3	.	.	PUNCT
ijassa-781	404	4	madni	madni	PROPN
ijassa-781	404	5	a.	a.	NOUN
ijassa-781	404	6	m.	m.	NOUN
ijassa-781	404	7	,	,	PUNCT
ijassa-781	404	8	madni	madni	PROPN
ijassa-781	404	9	c.	c.	PROPN
ijassa-781	404	10	c.	c.	PROPN
ijassa-781	404	11	&	&	CCONJ
ijassa-781	404	12	lucero	lucero	PROPN
ijassa-781	404	13	s.	s.	PROPN
ijassa-781	404	14	d.	d.	PROPN
ijassa-781	404	15	(	(	PUNCT
ijassa-781	404	16	2019	2019	NUM
ijassa-781	404	17	)	)	PUNCT
ijassa-781	404	18	.	.	PUNCT
ijassa-781	405	1	leveraging	leverage	VERB
ijassa-781	405	2	digital	digital	ADJ
ijassa-781	405	3	twin	twin	ADJ
ijassa-781	405	4	technology	technology	NOUN
ijassa-781	405	5	in	in	ADP
ijassa-781	405	6	model	model	NOUN
ijassa-781	405	7	-	-	PUNCT
ijassa-781	405	8	based	base	VERB
ijassa-781	405	9	systems	system	NOUN
ijassa-781	405	10	engineering	engineering	NOUN
ijassa-781	405	11	,	,	PUNCT
ijassa-781	405	12	systems	system	NOUN
ijassa-781	405	13	,	,	PUNCT
ijassa-781	405	14	7(1	7(1	NUM
ijassa-781	405	15	)	)	PUNCT
ijassa-781	405	16	,	,	PUNCT
ijassa-781	405	17	7	7	NUM
ijassa-781	405	18	,	,	PUNCT
ijassa-781	405	19	https://doi.org/10.3390/systems7010007	https://doi.org/10.3390/systems7010007	ADJ
ijassa-781	405	20	3	3	NUM
ijassa-781	405	21	.	.	PUNCT
ijassa-781	405	22	kowalski	kowalski	PROPN
ijassa-781	405	23	j.	j.	PROPN
ijassa-781	406	1	(	(	PUNCT
ijassa-781	406	2	2016	2016	NUM
ijassa-781	406	3	)	)	PUNCT
ijassa-781	406	4	.	.	PUNCT
ijassa-781	407	1	cad	cad	PROPN
ijassa-781	407	2	is	be	AUX
ijassa-781	407	3	a	a	DET
ijassa-781	407	4	lie	lie	NOUN
ijassa-781	407	5	:	:	PUNCT
ijassa-781	407	6	generative	generative	ADJ
ijassa-781	407	7	design	design	NOUN
ijassa-781	407	8	to	to	ADP
ijassa-781	407	9	the	the	DET
ijassa-781	407	10	rescue	rescue	NOUN
ijassa-781	407	11	.	.	PUNCT
ijassa-781	408	1	autodesk	autodesk	PROPN
ijassa-781	408	2	,	,	PUNCT
ijassa-781	409	1	[	[	X
ijassa-781	409	2	online	online	X
ijassa-781	409	3	]	]	X
ijassa-781	409	4	.	.	PUNCT
ijassa-781	410	1	available	available	ADJ
ijassa-781	410	2	:	:	PUNCT
ijassa-781	410	3	https://www.autodesk.com/redshift/generative-design/	https://www.autodesk.com/redshift/generative-design/	PUNCT
ijassa-781	410	4	4	4	X
ijassa-781	410	5	.	.	X
ijassa-781	410	6	harris	harris	PROPN
ijassa-781	410	7	g.	g.	PROPN
ijassa-781	410	8	a.	a.	PROPN
ijassa-781	410	9	,	,	PUNCT
ijassa-781	410	10	abernathy	abernathy	PROPN
ijassa-781	410	11	d.	d.	PROPN
ijassa-781	410	12	,	,	PUNCT
ijassa-781	410	13	whittenburg	whittenburg	PROPN
ijassa-781	410	14	r.	r.	PROPN
ijassa-781	410	15	,	,	PUNCT
ijassa-781	410	16	holden	holden	PROPN
ijassa-781	410	17	a.	a.	PROPN
ijassa-781	410	18	&	&	CCONJ
ijassa-781	410	19	still	still	ADV
ijassa-781	410	20	a.	a.	PROPN
ijassa-781	410	21	(	(	PUNCT
ijassa-781	410	22	2018	2018	NUM
ijassa-781	410	23	)	)	PUNCT
ijassa-781	410	24	.	.	PUNCT
ijassa-781	411	1	issues	issue	NOUN
ijassa-781	411	2	in	in	ADP
ijassa-781	411	3	implementing	implement	VERB
ijassa-781	411	4	a	a	DET
ijassa-781	411	5	model	model	NOUN
ijassa-781	411	6	based	base	VERB
ijassa-781	411	7	enterprise	enterprise	NOUN
ijassa-781	411	8	.	.	PUNCT
ijassa-781	412	1	proc	proc	NOUN
ijassa-781	412	2	.	.	PUNCT
ijassa-781	413	1	9th	9th	ADJ
ijassa-781	413	2	model	model	NOUN
ijassa-781	413	3	-	-	PUNCT
ijassa-781	413	4	based	base	VERB
ijassa-781	413	5	enterprise	enterprise	NOUN
ijassa-781	413	6	summit	summit	NOUN
ijassa-781	413	7	(	(	PUNCT
ijassa-781	413	8	mbe	mbe	PROPN
ijassa-781	413	9	2018	2018	NUM
ijassa-781	413	10	)	)	PUNCT
ijassa-781	413	11	.	.	PUNCT
ijassa-781	414	1	nist	nist	PROPN
ijassa-781	414	2	,	,	PUNCT
ijassa-781	414	3	34–38	34–38	NUM
ijassa-781	414	4	.	.	PUNCT
ijassa-781	415	1	https://doi.org/10.6028/nist.ams.100-22	https://doi.org/10.6028/nist.ams.100-22	PROPN
ijassa-781	415	2	5	5	NUM
ijassa-781	415	3	.	.	PUNCT
ijassa-781	415	4	mabrok	mabrok	PROPN
ijassa-781	415	5	m.	m.	PROPN
ijassa-781	415	6	a.	a.	PROPN
ijassa-781	415	7	&	&	CCONJ
ijassa-781	415	8	ryan	ryan	PROPN
ijassa-781	415	9	m.	m.	PROPN
ijassa-781	415	10	j.	j.	PROPN
ijassa-781	415	11	(	(	PUNCT
ijassa-781	415	12	2017	2017	NUM
ijassa-781	415	13	)	)	PUNCT
ijassa-781	415	14	.	.	PUNCT
ijassa-781	416	1	category	category	NOUN
ijassa-781	416	2	theory	theory	NOUN
ijassa-781	416	3	as	as	ADP
ijassa-781	416	4	a	a	DET
ijassa-781	416	5	formal	formal	ADJ
ijassa-781	416	6	mathematical	mathematical	ADJ
ijassa-781	416	7	foundation	foundation	NOUN
ijassa-781	416	8	for	for	ADP
ijassa-781	416	9	model	model	NOUN
ijassa-781	416	10	-	-	PUNCT
ijassa-781	416	11	based	base	VERB
ijassa-781	416	12	systems	system	NOUN
ijassa-781	416	13	engineering	engineering	NOUN
ijassa-781	416	14	,	,	PUNCT
ijassa-781	416	15	applied	apply	VERB
ijassa-781	416	16	math	math	NOUN
ijassa-781	416	17	.	.	PUNCT
ijassa-781	417	1	and	and	CCONJ
ijassa-781	417	2	information	information	PROPN
ijassa-781	417	3	sci	sci	PROPN
ijassa-781	417	4	.	.	PROPN
ijassa-781	417	5	,	,	PUNCT
ijassa-781	417	6	11(1	11(1	NUM
ijassa-781	417	7	)	)	PUNCT
ijassa-781	417	8	,	,	PUNCT
ijassa-781	417	9	43–51	43–51	X
ijassa-781	417	10	.	.	PUNCT
ijassa-781	418	1	https://doi.org/10.18576/amis/110106	https://doi.org/10.18576/amis/110106	NOUN
ijassa-781	418	2	6	6	NUM
ijassa-781	418	3	.	.	X
ijassa-781	419	1	luzeaux	luzeaux	PROPN
ijassa-781	419	2	d.	d.	PROPN
ijassa-781	419	3	(	(	PUNCT
ijassa-781	419	4	2015	2015	NUM
ijassa-781	419	5	)	)	PUNCT
ijassa-781	419	6	.	.	PUNCT
ijassa-781	420	1	a	a	DET
ijassa-781	420	2	formal	formal	ADJ
ijassa-781	420	3	foundation	foundation	NOUN
ijassa-781	420	4	of	of	ADP
ijassa-781	420	5	systems	system	NOUN
ijassa-781	420	6	engineering	engineering	NOUN
ijassa-781	420	7	.	.	PUNCT
ijassa-781	421	1	in	in	ADP
ijassa-781	421	2	boulanger	boulanger	PROPN
ijassa-781	421	3	f.	f.	PROPN
ijassa-781	421	4	,	,	PUNCT
ijassa-781	421	5	krob	krob	PROPN
ijassa-781	421	6	d.	d.	PROPN
ijassa-781	421	7	,	,	PUNCT
ijassa-781	421	8	morel	morel	PROPN
ijassa-781	421	9	g.	g.	PROPN
ijassa-781	421	10	&	&	CCONJ
ijassa-781	421	11	roussel	roussel	PROPN
ijassa-781	421	12	j.	j.	PROPN
ijassa-781	421	13	c.	c.	PROPN
ijassa-781	421	14	(	(	PUNCT
ijassa-781	421	15	eds	eds	PROPN
ijassa-781	421	16	.	.	PUNCT
ijassa-781	421	17	)	)	PUNCT
ijassa-781	421	18	,	,	PUNCT
ijassa-781	421	19	complex	complex	ADJ
ijassa-781	421	20	systems	system	NOUN
ijassa-781	421	21	design	design	NOUN
ijassa-781	421	22	&	&	CCONJ
ijassa-781	421	23	management	management	NOUN
ijassa-781	421	24	(	(	PUNCT
ijassa-781	421	25	pp	pp	ADJ
ijassa-781	421	26	.	.	PUNCT
ijassa-781	421	27	133–148	133–148	NUM
ijassa-781	421	28	)	)	PUNCT
ijassa-781	421	29	.	.	PUNCT
ijassa-781	422	1	springer	springer	NOUN
ijassa-781	422	2	,	,	PUNCT
ijassa-781	422	3	cham	cham	PROPN
ijassa-781	422	4	.	.	PUNCT
ijassa-781	423	1	https://doi.org/10.1007/978-3-319-11617-4_10	https://doi.org/10.1007/978-3-319-11617-4_10	NOUN
ijassa-781	423	2	7	7	NUM
ijassa-781	423	3	.	.	X
ijassa-781	423	4	wisnesky	wisnesky	PROPN
ijassa-781	423	5	r.	r.	PROPN
ijassa-781	423	6	,	,	PUNCT
ijassa-781	423	7	breiner	breiner	PROPN
ijassa-781	423	8	s.	s.	PROPN
ijassa-781	423	9	,	,	PUNCT
ijassa-781	423	10	jones	jones	PROPN
ijassa-781	423	11	a.	a.	PROPN
ijassa-781	423	12	,	,	PUNCT
ijassa-781	423	13	spivak	spivak	PROPN
ijassa-781	423	14	d.	d.	PROPN
ijassa-781	423	15	i.	i.	PROPN
ijassa-781	423	16	&	&	CCONJ
ijassa-781	423	17	subrahmanian	subrahmanian	PROPN
ijassa-781	423	18	e.	e.	PROPN
ijassa-781	423	19	(	(	PUNCT
ijassa-781	423	20	2017	2017	NUM
ijassa-781	423	21	)	)	PUNCT
ijassa-781	423	22	.	.	PUNCT
ijassa-781	424	1	using	use	VERB
ijassa-781	424	2	category	category	NOUN
ijassa-781	424	3	theory	theory	NOUN
ijassa-781	424	4	to	to	PART
ijassa-781	424	5	facilitate	facilitate	VERB
ijassa-781	424	6	multiple	multiple	ADJ
ijassa-781	424	7	manufacturing	manufacturing	NOUN
ijassa-781	424	8	service	service	NOUN
ijassa-781	424	9	database	database	NOUN
ijassa-781	424	10	integration	integration	NOUN
ijassa-781	424	11	,	,	PUNCT
ijassa-781	424	12	j.	j.	PROPN
ijassa-781	424	13	computing	computing	PROPN
ijassa-781	424	14	and	and	CCONJ
ijassa-781	424	15	information	information	NOUN
ijassa-781	424	16	sci	sci	PROPN
ijassa-781	424	17	.	.	PUNCT
ijassa-781	425	1	in	in	ADP
ijassa-781	425	2	engineering	engineering	NOUN
ijassa-781	425	3	,	,	PUNCT
ijassa-781	425	4	17(2	17(2	NUM
ijassa-781	425	5	)	)	PUNCT
ijassa-781	425	6	,	,	PUNCT
ijassa-781	425	7	021011	021011	NUM
ijassa-781	425	8	.	.	PUNCT
ijassa-781	426	1	https://doi.org/10.1115/1.4034268	https://doi.org/10.1115/1.4034268	NOUN
ijassa-781	426	2	8	8	NUM
ijassa-781	426	3	.	.	PUNCT
ijassa-781	426	4	kovalyov	kovalyov	PROPN
ijassa-781	426	5	s.	s.	PROPN
ijassa-781	426	6	p.	p.	PROPN
ijassa-781	426	7	(	(	PUNCT
ijassa-781	426	8	2016	2016	NUM
ijassa-781	426	9	)	)	PUNCT
ijassa-781	426	10	.	.	PUNCT
ijassa-781	427	1	category	category	NOUN
ijassa-781	427	2	-	-	PUNCT
ijassa-781	427	3	theoretic	theoretic	NOUN
ijassa-781	427	4	approach	approach	NOUN
ijassa-781	427	5	to	to	ADP
ijassa-781	427	6	software	software	NOUN
ijassa-781	427	7	systems	system	NOUN
ijassa-781	427	8	design	design	NOUN
ijassa-781	427	9	,	,	PUNCT
ijassa-781	427	10	j.	j.	PROPN
ijassa-781	427	11	math	math	PROPN
ijassa-781	427	12	.	.	PUNCT
ijassa-781	428	1	sci	sci	PROPN
ijassa-781	428	2	.	.	PROPN
ijassa-781	428	3	,	,	PUNCT
ijassa-781	428	4	214(6	214(6	NUM
ijassa-781	428	5	)	)	PUNCT
ijassa-781	428	6	,	,	PUNCT
ijassa-781	428	7	814–853	814–853	NUM
ijassa-781	428	8	.	.	PUNCT
ijassa-781	428	9	https://doi.org/10.1007/s10958-016-2814-1	https://doi.org/10.1007/s10958-016-2814-1	NOUN
ijassa-781	428	10	9	9	NUM
ijassa-781	428	11	.	.	PUNCT
ijassa-781	428	12	ginali	ginali	PROPN
ijassa-781	428	13	s.	s.	PROPN
ijassa-781	428	14	&	&	CCONJ
ijassa-781	428	15	goguen	goguen	PROPN
ijassa-781	428	16	j.	j.	PROPN
ijassa-781	428	17	(	(	PUNCT
ijassa-781	428	18	1978	1978	NUM
ijassa-781	428	19	)	)	PUNCT
ijassa-781	428	20	.	.	PUNCT
ijassa-781	429	1	a	a	DET
ijassa-781	429	2	categorical	categorical	ADJ
ijassa-781	429	3	approach	approach	NOUN
ijassa-781	429	4	to	to	ADP
ijassa-781	429	5	general	general	ADJ
ijassa-781	429	6	systems	system	NOUN
ijassa-781	429	7	.	.	PUNCT
ijassa-781	430	1	in	in	ADP
ijassa-781	430	2	klir	klir	PROPN
ijassa-781	430	3	g.	g.	PROPN
ijassa-781	430	4	j.	j.	PROPN
ijassa-781	430	5	(	(	PUNCT
ijassa-781	430	6	ed	ed	NOUN
ijassa-781	430	7	.	.	PUNCT
ijassa-781	430	8	)	)	PUNCT
ijassa-781	430	9	,	,	PUNCT
ijassa-781	430	10	conf	conf	NOUN
ijassa-781	430	11	.	.	PUNCT
ijassa-781	431	1	(	(	PUNCT
ijassa-781	431	2	intl	intl	PROPN
ijassa-781	431	3	.	.	PUNCT
ijassa-781	431	4	)	)	PUNCT
ijassa-781	432	1	on	on	ADP
ijassa-781	432	2	applied	apply	VERB
ijassa-781	432	3	general	general	ADJ
ijassa-781	432	4	systems	systems	PROPN
ijassa-781	432	5	research	research	NOUN
ijassa-781	432	6	proc	proc	NOUN
ijassa-781	432	7	.	.	PUNCT
ijassa-781	433	1	(	(	PUNCT
ijassa-781	433	2	pp	pp	ADP
ijassa-781	433	3	.	.	PUNCT
ijassa-781	434	1	257–270	257–270	NUM
ijassa-781	434	2	)	)	PUNCT
ijassa-781	434	3	.	.	PUNCT
ijassa-781	435	1	nato	nato	PROPN
ijassa-781	435	2	conference	conference	NOUN
ijassa-781	435	3	ser	ser	NOUN
ijassa-781	435	4	.	.	PROPN
ijassa-781	435	5	,	,	PUNCT
ijassa-781	435	6	5	5	NUM
ijassa-781	435	7	,	,	PUNCT
ijassa-781	435	8	plenum	plenum	PROPN
ijassa-781	435	9	press	press	NOUN
ijassa-781	435	10	.	.	PUNCT
ijassa-781	436	1	https://doi.org/10.1007/978-1-4757-0555-3_18	https://doi.org/10.1007/978-1-4757-0555-3_18	PROPN
ijassa-781	436	2	10	10	NUM
ijassa-781	436	3	.	.	PUNCT
ijassa-781	436	4	kovalyov	kovalyov	PROPN
ijassa-781	436	5	s.	s.	PROPN
ijassa-781	436	6	p.	p.	PROPN
ijassa-781	436	7	(	(	PUNCT
ijassa-781	436	8	2018	2018	NUM
ijassa-781	436	9	)	)	PUNCT
ijassa-781	436	10	.	.	PUNCT
ijassa-781	437	1	category	category	NOUN
ijassa-781	437	2	theory	theory	NOUN
ijassa-781	437	3	as	as	ADP
ijassa-781	437	4	a	a	DET
ijassa-781	437	5	mathematical	mathematical	ADJ
ijassa-781	437	6	pragmatics	pragmatic	NOUN
ijassa-781	437	7	of	of	ADP
ijassa-781	437	8	model	model	NOUN
ijassa-781	437	9	-	-	PUNCT
ijassa-781	437	10	based	base	VERB
ijassa-781	437	11	systems	system	NOUN
ijassa-781	437	12	engineering	engineering	NOUN
ijassa-781	437	13	,	,	PUNCT
ijassa-781	437	14	inform	inform	NOUN
ijassa-781	437	15	.	.	PUNCT
ijassa-781	438	1	appl	appl	PROPN
ijassa-781	438	2	.	.	PROPN
ijassa-781	438	3	,	,	PUNCT
ijassa-781	438	4	12(1	12(1	NUM
ijassa-781	438	5	)	)	PUNCT
ijassa-781	438	6	,	,	PUNCT
ijassa-781	438	7	95–104	95–104	PROPN
ijassa-781	438	8	.	.	PUNCT
ijassa-781	439	1	https://doi.org/10.14357/19922264180112	https://doi.org/10.14357/19922264180112	PROPN
ijassa-781	439	2	11	11	NUM
ijassa-781	439	3	.	.	PUNCT
ijassa-781	440	1	spivak	spivak	PROPN
ijassa-781	440	2	d.	d.	PROPN
ijassa-781	440	3	&	&	CCONJ
ijassa-781	440	4	kent	kent	PROPN
ijassa-781	440	5	r.	r.	PROPN
ijassa-781	440	6	(	(	PUNCT
ijassa-781	440	7	2012	2012	NUM
ijassa-781	440	8	)	)	PUNCT
ijassa-781	440	9	.	.	PUNCT
ijassa-781	441	1	ologs	olog	NOUN
ijassa-781	441	2	:	:	PUNCT
ijassa-781	441	3	a	a	DET
ijassa-781	441	4	categorical	categorical	ADJ
ijassa-781	441	5	framework	framework	NOUN
ijassa-781	441	6	for	for	ADP
ijassa-781	441	7	knowledge	knowledge	NOUN
ijassa-781	441	8	representation	representation	NOUN
ijassa-781	441	9	,	,	PUNCT
ijassa-781	441	10	plos	plos	PROPN
ijassa-781	441	11	one	one	NUM
ijassa-781	441	12	,	,	PUNCT
ijassa-781	441	13	7	7	NUM
ijassa-781	441	14	,	,	PUNCT
ijassa-781	441	15	e24274	e24274	PROPN
ijassa-781	441	16	.	.	PUNCT
ijassa-781	442	1	https://doi.org/10.1371/journal.pone.0024274	https://doi.org/10.1371/journal.pone.0024274	PROPN
ijassa-781	442	2	12	12	NUM
ijassa-781	442	3	.	.	PUNCT
ijassa-781	443	1	baez	baez	PROPN
ijassa-781	443	2	j.	j.	PROPN
ijassa-781	443	3	c.	c.	PROPN
ijassa-781	443	4	&	&	CCONJ
ijassa-781	443	5	erbele	erbele	PROPN
ijassa-781	443	6	j.	j.	PROPN
ijassa-781	443	7	(	(	PUNCT
ijassa-781	443	8	2015	2015	NUM
ijassa-781	443	9	)	)	PUNCT
ijassa-781	443	10	.	.	PUNCT
ijassa-781	444	1	categories	category	NOUN
ijassa-781	444	2	in	in	ADP
ijassa-781	444	3	control	control	NOUN
ijassa-781	444	4	,	,	PUNCT
ijassa-781	444	5	theory	theory	NOUN
ijassa-781	444	6	and	and	CCONJ
ijassa-781	444	7	applications	application	NOUN
ijassa-781	444	8	of	of	ADP
ijassa-781	444	9	categories	category	NOUN
ijassa-781	444	10	,	,	PUNCT
ijassa-781	444	11	30(24	30(24	NUM
ijassa-781	444	12	)	)	PUNCT
ijassa-781	444	13	,	,	PUNCT
ijassa-781	444	14	836–881	836–881	NUM
ijassa-781	444	15	.	.	PUNCT
ijassa-781	445	1	http://www.tac.mta.ca/tac/volumes/30/24/30-24.pdf	http://www.tac.mta.ca/tac/volumes/30/24/30-24.pdf	NOUN
ijassa-781	445	2	leveraging	leverage	VERB
ijassa-781	445	3	category	category	NOUN
ijassa-781	445	4	theory	theory	NOUN
ijassa-781	445	5	in	in	ADP
ijassa-781	445	6	model	model	NOUN
ijassa-781	445	7	based	base	VERB
ijassa-781	445	8	enterprise	enterprise	NOUN
ijassa-781	445	9	65	65	NUM
ijassa-781	445	10	copyright	copyright	NOUN
ijassa-781	445	11	©	©	PROPN
ijassa-781	445	12	2020	2020	NUM
ijassa-781	445	13	assa	assa	NOUN
ijassa-781	445	14	.	.	PUNCT
ijassa-781	446	1	adv	adv	PROPN
ijassa-781	446	2	.	.	PUNCT
ijassa-781	447	1	in	in	ADP
ijassa-781	447	2	systems	system	NOUN
ijassa-781	447	3	science	science	NOUN
ijassa-781	447	4	and	and	CCONJ
ijassa-781	447	5	appl	appl	NOUN
ijassa-781	447	6	.	.	PUNCT
ijassa-781	448	1	(	(	PUNCT
ijassa-781	448	2	2020	2020	NUM
ijassa-781	448	3	)	)	PUNCT
ijassa-781	448	4	13	13	NUM
ijassa-781	448	5	.	.	PUNCT
ijassa-781	449	1	michniewicza	michniewicza	PROPN
ijassa-781	449	2	j.	j.	PROPN
ijassa-781	449	3	,	,	PUNCT
ijassa-781	449	4	reinhart	reinhart	PROPN
ijassa-781	449	5	g.	g.	PROPN
ijassa-781	449	6	&	&	CCONJ
ijassa-781	449	7	boschert	boschert	PROPN
ijassa-781	449	8	s.	s.	PROPN
ijassa-781	449	9	(	(	PUNCT
ijassa-781	449	10	2016	2016	NUM
ijassa-781	449	11	)	)	PUNCT
ijassa-781	449	12	.	.	PUNCT
ijassa-781	450	1	cad	cad	NOUN
ijassa-781	450	2	-	-	PUNCT
ijassa-781	450	3	based	base	VERB
ijassa-781	450	4	automated	automate	VERB
ijassa-781	450	5	assembly	assembly	NOUN
ijassa-781	450	6	planning	planning	NOUN
ijassa-781	450	7	for	for	ADP
ijassa-781	450	8	variable	variable	ADJ
ijassa-781	450	9	products	product	NOUN
ijassa-781	450	10	in	in	ADP
ijassa-781	450	11	modular	modular	ADJ
ijassa-781	450	12	production	production	NOUN
ijassa-781	450	13	systems	system	NOUN
ijassa-781	450	14	,	,	PUNCT
ijassa-781	450	15	procedia	procedia	NOUN
ijassa-781	450	16	cirp	cirp	NOUN
ijassa-781	450	17	,	,	PUNCT
ijassa-781	450	18	44	44	NUM
ijassa-781	450	19	,	,	PUNCT
ijassa-781	450	20	44	44	NUM
ijassa-781	450	21	–	–	SYM
ijassa-781	450	22	49	49	NUM
ijassa-781	450	23	.	.	PUNCT
ijassa-781	451	1	https://doi.org/10.1016/j.procir.2016.02.016	https://doi.org/10.1016/j.procir.2016.02.016	ADJ
ijassa-781	451	2	14	14	NUM
ijassa-781	451	3	.	.	PUNCT
ijassa-781	451	4	requicha	requicha	ADJ
ijassa-781	451	5	a.	a.	PROPN
ijassa-781	451	6	g.	g.	PROPN
ijassa-781	451	7	(	(	PUNCT
ijassa-781	451	8	1980	1980	NUM
ijassa-781	451	9	)	)	PUNCT
ijassa-781	451	10	.	.	PUNCT
ijassa-781	452	1	representations	representation	NOUN
ijassa-781	452	2	for	for	ADP
ijassa-781	452	3	rigid	rigid	ADJ
ijassa-781	452	4	solids	solid	NOUN
ijassa-781	452	5	:	:	PUNCT
ijassa-781	453	1	theory	theory	NOUN
ijassa-781	453	2	,	,	PUNCT
ijassa-781	453	3	methods	method	NOUN
ijassa-781	453	4	,	,	PUNCT
ijassa-781	453	5	and	and	CCONJ
ijassa-781	453	6	systems	system	NOUN
ijassa-781	453	7	,	,	PUNCT
ijassa-781	453	8	j.	j.	PROPN
ijassa-781	453	9	acm	acm	PROPN
ijassa-781	453	10	computing	computing	NOUN
ijassa-781	453	11	surveys	survey	NOUN
ijassa-781	453	12	,	,	PUNCT
ijassa-781	453	13	12(4	12(4	NUM
ijassa-781	453	14	)	)	PUNCT
ijassa-781	453	15	,	,	PUNCT
ijassa-781	453	16	437–464	437–464	NUM
ijassa-781	453	17	.	.	PUNCT
ijassa-781	454	1	https://doi.org/10.1145/356827.356833	https://doi.org/10.1145/356827.356833	PROPN
ijassa-781	454	2	15	15	NUM
ijassa-781	454	3	.	.	PUNCT
ijassa-781	455	1	kovalyov	kovalyov	PROPN
ijassa-781	455	2	s.	s.	PROPN
ijassa-781	455	3	p.	p.	PROPN
ijassa-781	455	4	(	(	PUNCT
ijassa-781	455	5	2017	2017	NUM
ijassa-781	455	6	)	)	PUNCT
ijassa-781	455	7	.	.	PUNCT
ijassa-781	456	1	methods	method	NOUN
ijassa-781	456	2	of	of	ADP
ijassa-781	456	3	category	category	NOUN
ijassa-781	456	4	theory	theory	NOUN
ijassa-781	456	5	in	in	ADP
ijassa-781	456	6	model	model	NOUN
ijassa-781	456	7	-	-	PUNCT
ijassa-781	456	8	based	base	VERB
ijassa-781	456	9	systems	system	NOUN
ijassa-781	456	10	engineering	engineering	NOUN
ijassa-781	456	11	,	,	PUNCT
ijassa-781	456	12	inform	inform	NOUN
ijassa-781	456	13	.	.	PUNCT
ijassa-781	457	1	appl	appl	PROPN
ijassa-781	457	2	.	.	PROPN
ijassa-781	457	3	,	,	PUNCT
ijassa-781	457	4	11(3	11(3	NUM
ijassa-781	457	5	)	)	PUNCT
ijassa-781	457	6	,	,	PUNCT
ijassa-781	457	7	42–50	42–50	NOUN
ijassa-781	457	8	.	.	PUNCT
ijassa-781	458	1	https://doi.org/10.14357/19922264170305	https://doi.org/10.14357/19922264170305	NOUN
ijassa-781	458	2	16	16	NUM
ijassa-781	458	3	.	.	PUNCT
ijassa-781	459	1	giesa	giesa	PROPN
ijassa-781	459	2	t.	t.	PROPN
ijassa-781	459	3	,	,	PUNCT
ijassa-781	459	4	spivak	spivak	PROPN
ijassa-781	459	5	d.	d.	PROPN
ijassa-781	459	6	i.	i.	PROPN
ijassa-781	459	7	&	&	CCONJ
ijassa-781	459	8	buehler	buehler	PROPN
ijassa-781	459	9	m.	m.	PROPN
ijassa-781	459	10	j.	j.	PROPN
ijassa-781	459	11	(	(	PUNCT
ijassa-781	459	12	2012	2012	NUM
ijassa-781	459	13	)	)	PUNCT
ijassa-781	459	14	.	.	PUNCT
ijassa-781	460	1	category	category	NOUN
ijassa-781	460	2	theory	theory	NOUN
ijassa-781	460	3	based	base	VERB
ijassa-781	460	4	solution	solution	NOUN
ijassa-781	460	5	for	for	ADP
ijassa-781	460	6	the	the	DET
ijassa-781	460	7	building	building	NOUN
ijassa-781	460	8	block	block	NOUN
ijassa-781	460	9	replacement	replacement	NOUN
ijassa-781	460	10	problem	problem	NOUN
ijassa-781	460	11	in	in	ADP
ijassa-781	460	12	materials	material	NOUN
ijassa-781	460	13	design	design	NOUN
ijassa-781	460	14	,	,	PUNCT
ijassa-781	460	15	advanced	advanced	ADJ
ijassa-781	460	16	engineering	engineering	NOUN
ijassa-781	460	17	materials	material	NOUN
ijassa-781	460	18	,	,	PUNCT
ijassa-781	460	19	14(9	14(9	NUM
ijassa-781	460	20	)	)	PUNCT
ijassa-781	460	21	,	,	PUNCT
ijassa-781	460	22	810–817	810–817	NUM
ijassa-781	460	23	.	.	PUNCT
ijassa-781	461	1	https://dspace.mit.edu/handle/1721.1/77560	https://dspace.mit.edu/handle/1721.1/77560	PROPN
ijassa-781	461	2	17	17	NUM
ijassa-781	461	3	.	.	PUNCT
ijassa-781	462	1	bozhko	bozhko	PROPN
ijassa-781	462	2	a.	a.	PROPN
ijassa-781	462	3	n.	n.	PROPN
ijassa-781	462	4	&	&	CCONJ
ijassa-781	462	5	karpenko	karpenko	PROPN
ijassa-781	462	6	a.	a.	PROPN
ijassa-781	462	7	p.	p.	NOUN
ijassa-781	462	8	(	(	PUNCT
ijassa-781	462	9	2018	2018	NUM
ijassa-781	462	10	)	)	PUNCT
ijassa-781	462	11	.	.	PUNCT
ijassa-781	463	1	computer	computer	NOUN
ijassa-781	463	2	-	-	PUNCT
ijassa-781	463	3	aided	aid	VERB
ijassa-781	463	4	subassembly	subassembly	NOUN
ijassa-781	463	5	generation	generation	NOUN
ijassa-781	463	6	.	.	PUNCT
ijassa-781	464	1	in	in	ADP
ijassa-781	464	2	proc	proc	NOUN
ijassa-781	464	3	.	.	PUNCT
ijassa-781	465	1	5th	5th	ADJ
ijassa-781	465	2	intl	intl	PROPN
ijassa-781	465	3	.	.	PUNCT
ijassa-781	466	1	workshop	workshop	NOUN
ijassa-781	466	2	iwci	iwci	NOUN
ijassa-781	466	3	2018	2018	NUM
ijassa-781	466	4	(	(	PUNCT
ijassa-781	466	5	pp	pp	ADJ
ijassa-781	466	6	.	.	PUNCT
ijassa-781	466	7	7–12	7–12	NUM
ijassa-781	466	8	)	)	PUNCT
ijassa-781	466	9	.	.	PUNCT
ijassa-781	467	1	advances	advance	NOUN
ijassa-781	467	2	in	in	ADP
ijassa-781	467	3	intelligent	intelligent	ADJ
ijassa-781	467	4	systems	system	NOUN
ijassa-781	467	5	research	research	NOUN
ijassa-781	467	6	ser	ser	NOUN
ijassa-781	467	7	.	.	PROPN
ijassa-781	467	8	,	,	PUNCT
ijassa-781	467	9	158	158	NUM
ijassa-781	467	10	,	,	PUNCT
ijassa-781	467	11	atlantis	atlantis	PROPN
ijassa-781	467	12	press	press	NOUN
ijassa-781	467	13	.	.	PUNCT
ijassa-781	468	1	https://doi.org/10.2991/iwci-18.2018.2	https://doi.org/10.2991/iwci-18.2018.2	NOUN
ijassa-781	468	2	18	18	NUM
ijassa-781	468	3	.	.	PUNCT
ijassa-781	469	1	mac	mac	PROPN
ijassa-781	469	2	lane	lane	PROPN
ijassa-781	469	3	s.	s.	PROPN
ijassa-781	469	4	(	(	PUNCT
ijassa-781	469	5	1998	1998	NUM
ijassa-781	469	6	)	)	PUNCT
ijassa-781	469	7	.	.	PUNCT
ijassa-781	470	1	categories	category	NOUN
ijassa-781	470	2	for	for	ADP
ijassa-781	470	3	the	the	DET
ijassa-781	470	4	working	work	VERB
ijassa-781	470	5	mathematician	mathematician	NOUN
ijassa-781	470	6	.	.	PUNCT
ijassa-781	471	1	2nd	2nd	ADJ
ijassa-781	471	2	ed	ed	NOUN
ijassa-781	471	3	.	.	PUNCT
ijassa-781	472	1	new	new	PROPN
ijassa-781	472	2	york	york	PROPN
ijassa-781	472	3	,	,	PUNCT
ijassa-781	472	4	ny	ny	PROPN
ijassa-781	472	5	:	:	PUNCT
ijassa-781	472	6	springer	springer	NOUN
ijassa-781	472	7	.	.	PUNCT
ijassa-781	473	1	19	19	NUM
ijassa-781	473	2	.	.	PUNCT
ijassa-781	474	1	pratt	pratt	PROPN
ijassa-781	474	2	v.	v.	PROPN
ijassa-781	474	3	r.	r.	PROPN
ijassa-781	474	4	(	(	PUNCT
ijassa-781	474	5	1986	1986	NUM
ijassa-781	474	6	)	)	PUNCT
ijassa-781	474	7	.	.	PUNCT
ijassa-781	475	1	modeling	model	VERB
ijassa-781	475	2	concurrency	concurrency	NOUN
ijassa-781	475	3	with	with	ADP
ijassa-781	475	4	partial	partial	ADJ
ijassa-781	475	5	orders	order	NOUN
ijassa-781	475	6	,	,	PUNCT
ijassa-781	475	7	int	int	NOUN
ijassa-781	475	8	.	.	PUNCT
ijassa-781	476	1	j.	j.	PROPN
ijassa-781	476	2	parallel	parallel	PROPN
ijassa-781	476	3	prog	prog	PROPN
ijassa-781	476	4	.	.	PROPN
ijassa-781	476	5	,	,	PUNCT
ijassa-781	476	6	15(1	15(1	NUM
ijassa-781	476	7	)	)	PUNCT
ijassa-781	476	8	,	,	PUNCT
ijassa-781	476	9	33–71	33–71	NOUN
ijassa-781	476	10	.	.	PUNCT
ijassa-781	477	1	https://doi.org/10.1007/bf01379149	https://doi.org/10.1007/bf01379149	PRON
ijassa-781	477	2	20	20	NUM
ijassa-781	477	3	.	.	PUNCT
ijassa-781	478	1	gross	gross	ADJ
ijassa-781	478	2	j.	j.	PROPN
ijassa-781	478	3	,	,	PUNCT
ijassa-781	478	4	chlipala	chlipala	PROPN
ijassa-781	478	5	a.	a.	PROPN
ijassa-781	478	6	&	&	CCONJ
ijassa-781	478	7	spivak	spivak	PROPN
ijassa-781	478	8	d.	d.	PROPN
ijassa-781	478	9	i.	i.	PROPN
ijassa-781	478	10	(	(	PUNCT
ijassa-781	478	11	2014	2014	NUM
ijassa-781	478	12	)	)	PUNCT
ijassa-781	478	13	.	.	PUNCT
ijassa-781	479	1	experience	experience	NOUN
ijassa-781	479	2	implementing	implement	VERB
ijassa-781	479	3	a	a	DET
ijassa-781	479	4	performant	performant	ADJ
ijassa-781	479	5	category	category	NOUN
ijassa-781	479	6	-	-	PUNCT
ijassa-781	479	7	theory	theory	NOUN
ijassa-781	479	8	library	library	NOUN
ijassa-781	479	9	in	in	ADP
ijassa-781	479	10	coq	coq	PROPN
ijassa-781	479	11	.	.	PUNCT
ijassa-781	480	1	in	in	ADP
ijassa-781	480	2	klein	klein	PROPN
ijassa-781	480	3	g.	g.	PROPN
ijassa-781	480	4	&	&	CCONJ
ijassa-781	480	5	gamboa	gamboa	PROPN
ijassa-781	480	6	r.	r.	PROPN
ijassa-781	480	7	(	(	PUNCT
ijassa-781	480	8	eds	eds	PROPN
ijassa-781	480	9	.	.	PUNCT
ijassa-781	480	10	)	)	PUNCT
ijassa-781	480	11	,	,	PUNCT
ijassa-781	480	12	5th	5th	ADJ
ijassa-781	480	13	conf	conf	NOUN
ijassa-781	480	14	.	.	PUNCT
ijassa-781	481	1	(	(	PUNCT
ijassa-781	481	2	intl	intl	PROPN
ijassa-781	481	3	.	.	PUNCT
ijassa-781	481	4	)	)	PUNCT
ijassa-781	482	1	on	on	ADP
ijassa-781	482	2	interactive	interactive	ADJ
ijassa-781	482	3	theorem	theorem	ADJ
ijassa-781	482	4	proving	prove	VERB
ijassa-781	482	5	proceedings	proceeding	NOUN
ijassa-781	482	6	(	(	PUNCT
ijassa-781	482	7	pp	pp	ADP
ijassa-781	482	8	.	.	PUNCT
ijassa-781	482	9	275–291	275–291	NUM
ijassa-781	482	10	)	)	PUNCT
ijassa-781	482	11	.	.	PUNCT
ijassa-781	483	1	lecture	lecture	NOUN
ijassa-781	483	2	notes	note	NOUN
ijassa-781	483	3	in	in	ADP
ijassa-781	483	4	computer	computer	NOUN
ijassa-781	483	5	science	science	NOUN
ijassa-781	483	6	ser	ser	PROPN
ijassa-781	483	7	.	.	PROPN
ijassa-781	483	8	,	,	PUNCT
ijassa-781	483	9	8558	8558	NUM
ijassa-781	483	10	,	,	PUNCT
ijassa-781	483	11	springer	springer	NOUN
ijassa-781	483	12	.	.	PUNCT
ijassa-781	484	1	https://doi.org/10.1007/978-3-319-08970-6	https://doi.org/10.1007/978-3-319-08970-6	PROPN
ijassa-781	484	2	21	21	NUM
ijassa-781	484	3	.	.	PUNCT
ijassa-781	485	1	adámek	adámek	PROPN
ijassa-781	485	2	j.	j.	PROPN
ijassa-781	485	3	,	,	PUNCT
ijassa-781	485	4	herrlich	herrlich	PROPN
ijassa-781	485	5	h.	h.	PROPN
ijassa-781	485	6	&	&	CCONJ
ijassa-781	485	7	strecker	strecker	PROPN
ijassa-781	485	8	g.	g.	PROPN
ijassa-781	485	9	e.	e.	PROPN
ijassa-781	485	10	(	(	PUNCT
ijassa-781	485	11	1990	1990	NUM
ijassa-781	485	12	)	)	PUNCT
ijassa-781	485	13	.	.	PUNCT
ijassa-781	486	1	abstract	abstract	ADJ
ijassa-781	486	2	and	and	CCONJ
ijassa-781	486	3	concrete	concrete	ADJ
ijassa-781	486	4	categories	category	NOUN
ijassa-781	486	5	.	.	PUNCT
ijassa-781	487	1	new	new	PROPN
ijassa-781	487	2	york	york	PROPN
ijassa-781	487	3	,	,	PUNCT
ijassa-781	487	4	ny	ny	PROPN
ijassa-781	487	5	:	:	PUNCT
ijassa-781	487	6	john	john	PROPN
ijassa-781	487	7	wiley	wiley	PROPN
ijassa-781	487	8	.	.	PUNCT
ijassa-781	488	1	22	22	NUM
ijassa-781	488	2	.	.	PUNCT
ijassa-781	489	1	liu	liu	PROPN
ijassa-781	489	2	q.	q.	PROPN
ijassa-781	489	3	,	,	PUNCT
ijassa-781	489	4	zhang	zhang	PROPN
ijassa-781	489	5	h.	h.	PROPN
ijassa-781	489	6	,	,	PUNCT
ijassa-781	489	7	leng	leng	PROPN
ijassa-781	489	8	j.	j.	PROPN
ijassa-781	489	9	&	&	CCONJ
ijassa-781	489	10	chen	chen	PROPN
ijassa-781	489	11	x.	x.	PROPN
ijassa-781	489	12	(	(	PUNCT
ijassa-781	489	13	2019	2019	NUM
ijassa-781	489	14	)	)	PUNCT
ijassa-781	489	15	.	.	PUNCT
ijassa-781	490	1	digital	digital	ADJ
ijassa-781	490	2	twin	twin	NOUN
ijassa-781	490	3	-	-	PUNCT
ijassa-781	490	4	driven	drive	VERB
ijassa-781	490	5	rapid	rapid	ADJ
ijassa-781	490	6	individualised	individualised	ADJ
ijassa-781	490	7	designing	designing	NOUN
ijassa-781	490	8	of	of	ADP
ijassa-781	490	9	automated	automate	VERB
ijassa-781	490	10	flow	flow	NOUN
ijassa-781	490	11	-	-	PUNCT
ijassa-781	490	12	shop	shop	NOUN
ijassa-781	490	13	manufacturing	manufacturing	NOUN
ijassa-781	490	14	system	system	NOUN
ijassa-781	490	15	,	,	PUNCT
ijassa-781	490	16	intl	intl	PROPN
ijassa-781	490	17	.	.	PUNCT
ijassa-781	491	1	j.	j.	PROPN
ijassa-781	491	2	production	production	PROPN
ijassa-781	491	3	research	research	PROPN
ijassa-781	491	4	,	,	PUNCT
ijassa-781	491	5	57:12	57:12	NUM
ijassa-781	491	6	,	,	PUNCT
ijassa-781	491	7	3903–3919	3903–3919	NUM
ijassa-781	491	8	.	.	PUNCT
ijassa-781	492	1	https://doi.org/10.1080/00207543.2018.1471243	https://doi.org/10.1080/00207543.2018.1471243	PROPN
