id	sid	tid	token	lemma	pos
bracis-28352	1	1	alpha	alpha	NOUN
bracis-28352	1	2	$	$	SYM
bracis-28352	1	3	$	$	SYM
bracis-28352	1	4	-mcmp	-mcmp	NOUN
bracis-28352	1	5	:	:	PUNCT
bracis-28352	1	6	trade	trade	NOUN
bracis-28352	1	7	-	-	PUNCT
bracis-28352	1	8	offs	off	NOUN
bracis-28352	1	9	between	between	ADP
bracis-28352	1	10	probability	probability	NOUN
bracis-28352	1	11	and	and	CCONJ
bracis-28352	1	12	 	 	SPACE
bracis-28352	1	13	cost	cost	NOUN
bracis-28352	1	14	in	in	ADP
bracis-28352	1	15	 	 	SPACE
bracis-28352	1	16	ssps	ssps	VERB
bracis-28352	1	17	with	with	ADP
bracis-28352	1	18	 	 	SPACE
bracis-28352	1	19	the	the	DET
bracis-28352	1	20	 	 	SPACE
bracis-28352	1	21	mcmp	mcmp	NOUN
bracis-28352	1	22	criterion	criterion	NOUN
bracis-28352	1	23	|	|	NOUN
bracis-28352	1	24	springer	springer	NOUN
bracis-28352	1	25	nature	nature	PROPN
bracis-28352	1	26	link	link	PROPN
bracis-28352	1	27	(	(	PUNCT
bracis-28352	1	28	formerly	formerly	ADV
bracis-28352	1	29	springerlink	springerlink	NOUN
bracis-28352	1	30	)	)	PUNCT
bracis-28352	1	31	skip	skip	VERB
bracis-28352	1	32	to	to	ADP
bracis-28352	1	33	main	main	ADJ
bracis-28352	1	34	content	content	NOUN
bracis-28352	1	35	advertisement	advertisement	NOUN
bracis-28352	1	36	log	log	NOUN
bracis-28352	1	37	in	in	ADP
bracis-28352	1	38	menu	menu	NOUN
bracis-28352	1	39	find	find	VERB
bracis-28352	1	40	a	a	DET
bracis-28352	1	41	journal	journal	NOUN
bracis-28352	1	42	publish	publish	VERB
bracis-28352	1	43	with	with	ADP
bracis-28352	1	44	us	we	PRON
bracis-28352	1	45	track	track	VERB
bracis-28352	1	46	your	your	PRON
bracis-28352	1	47	research	research	NOUN
bracis-28352	1	48	search	search	NOUN
bracis-28352	1	49	cart	cart	NOUN
bracis-28352	1	50	home	home	NOUN
bracis-28352	1	51	intelligent	intelligent	ADJ
bracis-28352	1	52	systems	system	NOUN
bracis-28352	1	53	conference	conference	NOUN
bracis-28352	1	54	paper	paper	NOUN
bracis-28352	1	55	\(\alpha	\(\alpha	NOUN
bracis-28352	1	56	\)-mcmp	\)-mcmp	NOUN
bracis-28352	1	57	:	:	PUNCT
bracis-28352	1	58	trade	trade	NOUN
bracis-28352	1	59	-	-	PUNCT
bracis-28352	1	60	offs	off	NOUN
bracis-28352	1	61	between	between	ADP
bracis-28352	1	62	probability	probability	NOUN
bracis-28352	1	63	and	and	CCONJ
bracis-28352	1	64	 	 	SPACE
bracis-28352	1	65	cost	cost	NOUN
bracis-28352	1	66	in	in	ADP
bracis-28352	1	67	 	 	SPACE
bracis-28352	1	68	ssps	ssps	VERB
bracis-28352	1	69	with	with	ADP
bracis-28352	1	70	 	 	SPACE
bracis-28352	1	71	the	the	DET
bracis-28352	1	72	 	 	SPACE
bracis-28352	1	73	mcmp	mcmp	NOUN
bracis-28352	1	74	criterion	criterion	NOUN
bracis-28352	1	75	conference	conference	PROPN
bracis-28352	1	76	paper	paper	NOUN
bracis-28352	1	77	first	first	ADV
bracis-28352	1	78	online	online	ADV
bracis-28352	1	79	:	:	PUNCT
bracis-28352	1	80	12	12	NUM
bracis-28352	1	81	october	october	NOUN
bracis-28352	1	82	2023	2023	NUM
bracis-28352	1	83	pp	pp	PROPN
bracis-28352	1	84	112–127	112–127	NUM
bracis-28352	1	85	cite	cite	VERB
bracis-28352	1	86	this	this	DET
bracis-28352	1	87	conference	conference	NOUN
bracis-28352	1	88	paper	paper	NOUN
bracis-28352	1	89	access	access	NOUN
bracis-28352	1	90	provided	provide	VERB
bracis-28352	1	91	by	by	ADP
bracis-28352	1	92	university	university	PROPN
bracis-28352	1	93	of	of	ADP
bracis-28352	1	94	notre	notre	PROPN
bracis-28352	1	95	dame	dame	PROPN
bracis-28352	1	96	hesburgh	hesburgh	PROPN
bracis-28352	1	97	library	library	PROPN
bracis-28352	1	98	download	download	PROPN
bracis-28352	1	99	book	book	NOUN
bracis-28352	1	100	pdf	pdf	PROPN
bracis-28352	1	101	download	download	NOUN
bracis-28352	1	102	book	book	NOUN
bracis-28352	1	103	epub	epub	PROPN
bracis-28352	1	104	intelligent	intelligent	ADJ
bracis-28352	1	105	systems	system	NOUN
bracis-28352	1	106	(	(	PUNCT
bracis-28352	1	107	bracis	bracis	NOUN
bracis-28352	1	108	2023	2023	NUM
bracis-28352	1	109	)	)	PUNCT
bracis-28352	1	110	\(\alpha	\(\alpha	ADP
bracis-28352	1	111	\)-mcmp	\)-mcmp	NOUN
bracis-28352	1	112	:	:	PUNCT
bracis-28352	1	113	trade	trade	NOUN
bracis-28352	1	114	-	-	PUNCT
bracis-28352	1	115	offs	off	NOUN
bracis-28352	1	116	between	between	ADP
bracis-28352	1	117	probability	probability	NOUN
bracis-28352	1	118	and	and	CCONJ
bracis-28352	1	119	 	 	SPACE
bracis-28352	1	120	cost	cost	NOUN
bracis-28352	1	121	in	in	ADP
bracis-28352	1	122	 	 	SPACE
bracis-28352	1	123	ssps	ssps	VERB
bracis-28352	1	124	with	with	ADP
bracis-28352	1	125	 	 	SPACE
bracis-28352	1	126	the	the	DET
bracis-28352	1	127	 	 	SPACE
bracis-28352	1	128	mcmp	mcmp	NOUN
bracis-28352	1	129	criterion	criterion	NOUN
bracis-28352	1	130	download	download	NOUN
bracis-28352	1	131	book	book	NOUN
bracis-28352	1	132	pdf	pdf	PROPN
bracis-28352	1	133	download	download	NOUN
bracis-28352	1	134	book	book	PROPN
bracis-28352	1	135	epub	epub	PROPN
bracis-28352	1	136	gabriel	gabriel	PROPN
bracis-28352	1	137	nunes	nunes	PROPN
bracis-28352	1	138	crispino	crispino	PROPN
bracis-28352	1	139	  	  	SPACE
bracis-28352	1	140	orcid	orcid	NOUN
bracis-28352	1	141	:	:	PUNCT
bracis-28352	1	142	orcid.org/0000-0002-7641-84929	orcid.org/0000-0002-7641-84929	NOUN
bracis-28352	1	143	,	,	PUNCT
bracis-28352	1	144	valdinei	valdinei	PROPN
bracis-28352	1	145	freire	freire	PROPN
bracis-28352	1	146	  	  	SPACE
bracis-28352	1	147	orcid	orcid	NOUN
bracis-28352	1	148	:	:	PUNCT
bracis-28352	1	149	orcid.org/0000-0003-0330-39319	orcid.org/0000-0003-0330-39319	PROPN
bracis-28352	1	150	&	&	CCONJ
bracis-28352	1	151	karina	karina	PROPN
bracis-28352	1	152	valdivia	valdivia	PROPN
bracis-28352	1	153	delgado	delgado	PROPN
bracis-28352	1	154	  	  	SPACE
bracis-28352	1	155	orcid	orcid	PROPN
bracis-28352	1	156	:	:	PUNCT
bracis-28352	1	157	orcid.org/0000-0002-9120-89879	orcid.org/0000-0002-9120-89879	ADJ
bracis-28352	1	158	  	  	SPACE
bracis-28352	1	159	part	part	NOUN
bracis-28352	1	160	of	of	ADP
bracis-28352	1	161	the	the	DET
bracis-28352	1	162	book	book	NOUN
bracis-28352	1	163	series	series	NOUN
bracis-28352	1	164	:	:	PUNCT
bracis-28352	1	165	lecture	lecture	NOUN
bracis-28352	1	166	notes	note	NOUN
bracis-28352	1	167	in	in	ADP
bracis-28352	1	168	computer	computer	NOUN
bracis-28352	1	169	science	science	NOUN
bracis-28352	1	170	(	(	PUNCT
bracis-28352	1	171	(	(	PUNCT
bracis-28352	1	172	lnai	lnai	ADJ
bracis-28352	1	173	,	,	PUNCT
bracis-28352	1	174	volume	volume	NOUN
bracis-28352	1	175	14195	14195	NUM
bracis-28352	1	176	)	)	PUNCT
bracis-28352	1	177	)	)	PUNCT
bracis-28352	1	178	included	include	VERB
bracis-28352	1	179	in	in	ADP
bracis-28352	1	180	the	the	DET
bracis-28352	1	181	following	follow	VERB
bracis-28352	1	182	conference	conference	NOUN
bracis-28352	1	183	series	series	NOUN
bracis-28352	1	184	:	:	PUNCT
bracis-28352	1	185	brazilian	brazilian	ADJ
bracis-28352	1	186	conference	conference	NOUN
bracis-28352	1	187	on	on	ADP
bracis-28352	1	188	intelligent	intelligent	ADJ
bracis-28352	1	189	systems	system	NOUN
bracis-28352	1	190	515	515	NUM
bracis-28352	1	191	accesses	access	NOUN
bracis-28352	1	192	2	2	NUM
bracis-28352	1	193	citations	citation	NOUN
bracis-28352	1	194	abstract	abstract	ADJ
bracis-28352	1	195	in	in	ADP
bracis-28352	1	196	stochastic	stochastic	ADJ
bracis-28352	1	197	shortest	short	ADJ
bracis-28352	1	198	path	path	NOUN
bracis-28352	1	199	(	(	PUNCT
bracis-28352	1	200	ssp	ssp	NOUN
bracis-28352	1	201	)	)	PUNCT
bracis-28352	1	202	problems	problem	NOUN
bracis-28352	1	203	,	,	PUNCT
bracis-28352	1	204	not	not	PART
bracis-28352	1	205	always	always	ADV
bracis-28352	1	206	the	the	DET
bracis-28352	1	207	requirement	requirement	NOUN
bracis-28352	1	208	of	of	ADP
bracis-28352	1	209	having	have	VERB
bracis-28352	1	210	at	at	ADV
bracis-28352	1	211	least	least	ADV
bracis-28352	1	212	one	one	NUM
bracis-28352	1	213	policy	policy	NOUN
bracis-28352	1	214	with	with	ADP
bracis-28352	1	215	a	a	DET
bracis-28352	1	216	probability	probability	NOUN
bracis-28352	1	217	of	of	ADP
bracis-28352	1	218	reaching	reach	VERB
bracis-28352	1	219	goals	goal	NOUN
bracis-28352	1	220	(	(	PUNCT
bracis-28352	1	221	probability	probability	NOUN
bracis-28352	1	222	-	-	PUNCT
bracis-28352	1	223	to	to	ADP
bracis-28352	1	224	-	-	PUNCT
bracis-28352	1	225	goal	goal	NOUN
bracis-28352	1	226	)	)	PUNCT
bracis-28352	1	227	equal	equal	ADJ
bracis-28352	1	228	to	to	ADP
bracis-28352	1	229	1	1	NUM
bracis-28352	1	230	can	can	AUX
bracis-28352	1	231	be	be	AUX
bracis-28352	1	232	met	meet	VERB
bracis-28352	1	233	.	.	PUNCT
bracis-28352	2	1	this	this	PRON
bracis-28352	2	2	is	be	AUX
bracis-28352	2	3	the	the	DET
bracis-28352	2	4	case	case	NOUN
bracis-28352	2	5	when	when	SCONJ
bracis-28352	2	6	dead	dead	ADJ
bracis-28352	2	7	ends	end	VERB
bracis-28352	2	8	,	,	PUNCT
bracis-28352	2	9	states	state	NOUN
bracis-28352	2	10	from	from	ADP
bracis-28352	2	11	which	which	PRON
bracis-28352	2	12	the	the	DET
bracis-28352	2	13	probability	probability	NOUN
bracis-28352	2	14	-	-	PUNCT
bracis-28352	2	15	to	to	ADP
bracis-28352	2	16	-	-	PUNCT
bracis-28352	2	17	goal	goal	NOUN
bracis-28352	2	18	is	be	AUX
bracis-28352	2	19	equal	equal	ADJ
bracis-28352	2	20	to	to	ADP
bracis-28352	2	21	0	0	NUM
bracis-28352	2	22	,	,	PUNCT
bracis-28352	2	23	are	be	AUX
bracis-28352	2	24	unavoidable	unavoidable	ADJ
bracis-28352	2	25	for	for	ADP
bracis-28352	2	26	any	any	DET
bracis-28352	2	27	policy	policy	NOUN
bracis-28352	2	28	,	,	PUNCT
bracis-28352	2	29	which	which	PRON
bracis-28352	2	30	demands	demand	VERB
bracis-28352	2	31	the	the	DET
bracis-28352	2	32	definition	definition	NOUN
bracis-28352	2	33	of	of	ADP
bracis-28352	2	34	alternate	alternate	ADJ
bracis-28352	2	35	methods	method	NOUN
bracis-28352	2	36	to	to	PART
bracis-28352	2	37	handle	handle	VERB
bracis-28352	2	38	such	such	ADJ
bracis-28352	2	39	cases	case	NOUN
bracis-28352	2	40	.	.	PUNCT
bracis-28352	3	1	the	the	DET
bracis-28352	3	2	\(\alpha	\(\alpha	NOUN
bracis-28352	3	3	\)-strong	\)-strong	ADP
bracis-28352	3	4	probability	probability	NOUN
bracis-28352	3	5	-	-	PUNCT
bracis-28352	3	6	to	to	ADP
bracis-28352	3	7	-	-	PUNCT
bracis-28352	3	8	goal	goal	NOUN
bracis-28352	3	9	priority	priority	NOUN
bracis-28352	3	10	is	be	AUX
bracis-28352	3	11	a	a	DET
bracis-28352	3	12	property	property	NOUN
bracis-28352	3	13	that	that	PRON
bracis-28352	3	14	is	be	AUX
bracis-28352	3	15	maintained	maintain	VERB
bracis-28352	3	16	by	by	ADP
bracis-28352	3	17	a	a	DET
bracis-28352	3	18	criterion	criterion	NOUN
bracis-28352	3	19	if	if	SCONJ
bracis-28352	3	20	a	a	DET
bracis-28352	3	21	necessary	necessary	ADJ
bracis-28352	3	22	condition	condition	NOUN
bracis-28352	3	23	to	to	ADP
bracis-28352	3	24	optimality	optimality	NOUN
bracis-28352	3	25	is	be	AUX
bracis-28352	3	26	that	that	SCONJ
bracis-28352	3	27	the	the	DET
bracis-28352	3	28	ratio	ratio	NOUN
bracis-28352	3	29	between	between	ADP
bracis-28352	3	30	the	the	DET
bracis-28352	3	31	probability	probability	NOUN
bracis-28352	3	32	-	-	PUNCT
bracis-28352	3	33	to	to	ADP
bracis-28352	3	34	-	-	PUNCT
bracis-28352	3	35	goal	goal	NOUN
bracis-28352	3	36	values	value	NOUN
bracis-28352	3	37	of	of	ADP
bracis-28352	3	38	the	the	DET
bracis-28352	3	39	optimal	optimal	ADJ
bracis-28352	3	40	policy	policy	NOUN
bracis-28352	3	41	and	and	CCONJ
bracis-28352	3	42	any	any	DET
bracis-28352	3	43	other	other	ADJ
bracis-28352	3	44	policy	policy	NOUN
bracis-28352	3	45	is	be	AUX
bracis-28352	3	46	bound	bind	VERB
bracis-28352	3	47	by	by	ADP
bracis-28352	3	48	a	a	DET
bracis-28352	3	49	value	value	NOUN
bracis-28352	3	50	of	of	ADP
bracis-28352	3	51	\(0	\(0	PROPN
bracis-28352	3	52	\le	\le	PROPN
bracis-28352	3	53	\alpha	\alpha	PROPN
bracis-28352	3	54	\le	\le	PROPN
bracis-28352	3	55	1\	1\	NUM
bracis-28352	3	56	)	)	PUNCT
bracis-28352	3	57	.	.	PUNCT
bracis-28352	4	1	this	this	DET
bracis-28352	4	2	definition	definition	NOUN
bracis-28352	4	3	is	be	AUX
bracis-28352	4	4	helpful	helpful	ADJ
bracis-28352	4	5	when	when	SCONJ
bracis-28352	4	6	evaluating	evaluate	VERB
bracis-28352	4	7	the	the	DET
bracis-28352	4	8	preference	preference	NOUN
bracis-28352	4	9	of	of	ADP
bracis-28352	4	10	different	different	ADJ
bracis-28352	4	11	criteria	criterion	NOUN
bracis-28352	4	12	for	for	ADP
bracis-28352	4	13	ssps	ssps	NOUN
bracis-28352	4	14	with	with	ADP
bracis-28352	4	15	dead	dead	ADJ
bracis-28352	4	16	ends	end	NOUN
bracis-28352	4	17	.	.	PUNCT
bracis-28352	5	1	the	the	DET
bracis-28352	5	2	min	min	NOUN
bracis-28352	5	3	-	-	PUNCT
bracis-28352	5	4	cost	cost	NOUN
bracis-28352	5	5	given	give	VERB
bracis-28352	5	6	max	max	PROPN
bracis-28352	5	7	-	-	NOUN
bracis-28352	5	8	prob	prob	PROPN
bracis-28352	5	9	(	(	PUNCT
bracis-28352	5	10	mcmp	mcmp	NOUN
bracis-28352	5	11	)	)	PUNCT
bracis-28352	5	12	criterion	criterion	NOUN
bracis-28352	5	13	is	be	AUX
bracis-28352	5	14	a	a	DET
bracis-28352	5	15	method	method	NOUN
bracis-28352	5	16	that	that	PRON
bracis-28352	5	17	prefers	prefer	VERB
bracis-28352	5	18	policies	policy	NOUN
bracis-28352	5	19	that	that	PRON
bracis-28352	5	20	minimize	minimize	VERB
bracis-28352	5	21	a	a	DET
bracis-28352	5	22	well	well	ADV
bracis-28352	5	23	-	-	PUNCT
bracis-28352	5	24	defined	define	VERB
bracis-28352	5	25	cost	cost	NOUN
bracis-28352	5	26	function	function	NOUN
bracis-28352	5	27	in	in	ADP
bracis-28352	5	28	the	the	DET
bracis-28352	5	29	presence	presence	NOUN
bracis-28352	5	30	of	of	ADP
bracis-28352	5	31	unavoidable	unavoidable	ADJ
bracis-28352	5	32	dead	dead	ADJ
bracis-28352	5	33	ends	end	NOUN
bracis-28352	5	34	given	give	VERB
bracis-28352	5	35	policies	policy	NOUN
bracis-28352	5	36	that	that	PRON
bracis-28352	5	37	maximize	maximize	VERB
bracis-28352	5	38	probability	probability	NOUN
bracis-28352	5	39	-	-	PUNCT
bracis-28352	5	40	to	to	ADP
bracis-28352	5	41	-	-	PUNCT
bracis-28352	5	42	goal	goal	NOUN
bracis-28352	5	43	.	.	PUNCT
bracis-28352	6	1	however	however	ADV
bracis-28352	6	2	,	,	PUNCT
bracis-28352	6	3	it	it	PRON
bracis-28352	6	4	only	only	ADV
bracis-28352	6	5	guarantees	guarantee	VERB
bracis-28352	6	6	\(\alpha	\(\alpha	NOUN
bracis-28352	6	7	\)-strong	\)-strong	NOUN
bracis-28352	6	8	priority	priority	NOUN
bracis-28352	6	9	for	for	ADP
bracis-28352	6	10	\(\alpha	\(\alpha	NOUN
bracis-28352	6	11	=	=	SYM
bracis-28352	6	12	1\	1\	NUM
bracis-28352	6	13	)	)	PUNCT
bracis-28352	6	14	.	.	PUNCT
bracis-28352	7	1	in	in	ADP
bracis-28352	7	2	this	this	DET
bracis-28352	7	3	paper	paper	NOUN
bracis-28352	7	4	,	,	PUNCT
bracis-28352	7	5	we	we	PRON
bracis-28352	7	6	define	define	VERB
bracis-28352	7	7	\(\alpha	\(\alpha	NOUN
bracis-28352	7	8	\)-mcmp	\)-mcmp	NUM
bracis-28352	7	9	,	,	PUNCT
bracis-28352	7	10	a	a	DET
bracis-28352	7	11	criterion	criterion	NOUN
bracis-28352	7	12	based	base	VERB
bracis-28352	7	13	on	on	ADP
bracis-28352	7	14	mcmp	mcmp	NOUN
bracis-28352	7	15	with	with	ADP
bracis-28352	7	16	the	the	DET
bracis-28352	7	17	addition	addition	NOUN
bracis-28352	7	18	of	of	ADP
bracis-28352	7	19	the	the	DET
bracis-28352	7	20	guarantee	guarantee	NOUN
bracis-28352	7	21	of	of	ADP
bracis-28352	7	22	\(\alpha	\(\alpha	NOUN
bracis-28352	7	23	\)-strong	\)-strong	NOUN
bracis-28352	7	24	priority	priority	NOUN
bracis-28352	7	25	for	for	ADP
bracis-28352	7	26	any	any	DET
bracis-28352	7	27	value	value	NOUN
bracis-28352	7	28	\(0	\(0	PROPN
bracis-28352	7	29	\le	\le	PROPN
bracis-28352	7	30	\alpha	\alpha	PROPN
bracis-28352	7	31	\le	\le	PROPN
bracis-28352	7	32	1\	1\	NUM
bracis-28352	7	33	)	)	PUNCT
bracis-28352	7	34	.	.	PUNCT
bracis-28352	8	1	we	we	PRON
bracis-28352	8	2	also	also	ADV
bracis-28352	8	3	perform	perform	VERB
bracis-28352	8	4	experiments	experiment	NOUN
bracis-28352	8	5	comparing	compare	VERB
bracis-28352	8	6	\(\alpha	\(\alpha	NOUN
bracis-28352	8	7	\)-mcmp	\)-mcmp	NOUN
bracis-28352	8	8	and	and	CCONJ
bracis-28352	8	9	gubs	gub	NOUN
bracis-28352	8	10	,	,	PUNCT
bracis-28352	8	11	the	the	DET
bracis-28352	8	12	only	only	ADJ
bracis-28352	8	13	other	other	ADJ
bracis-28352	8	14	criteria	criterion	NOUN
bracis-28352	8	15	known	know	VERB
bracis-28352	8	16	to	to	PART
bracis-28352	8	17	have	have	VERB
bracis-28352	8	18	\(\alpha	\(\alpha	NOUN
bracis-28352	8	19	\)-strong	\)-strong	NOUN
bracis-28352	8	20	priority	priority	NOUN
bracis-28352	8	21	for	for	ADP
bracis-28352	8	22	\(0	\(0	PROPN
bracis-28352	8	23	\le	\le	PROPN
bracis-28352	8	24	\alpha	\alpha	PROPN
bracis-28352	8	25	\le	\le	PROPN
bracis-28352	8	26	1\	1\	NUM
bracis-28352	8	27	)	)	PUNCT
bracis-28352	8	28	,	,	PUNCT
bracis-28352	8	29	to	to	PART
bracis-28352	8	30	analyze	analyze	VERB
bracis-28352	8	31	the	the	DET
bracis-28352	8	32	difference	difference	NOUN
bracis-28352	8	33	between	between	ADP
bracis-28352	8	34	the	the	DET
bracis-28352	8	35	probability	probability	NOUN
bracis-28352	8	36	-	-	PUNCT
bracis-28352	8	37	to	to	ADP
bracis-28352	8	38	-	-	PUNCT
bracis-28352	8	39	goal	goal	NOUN
bracis-28352	8	40	of	of	ADP
bracis-28352	8	41	policies	policy	NOUN
bracis-28352	8	42	generated	generate	VERB
bracis-28352	8	43	by	by	ADP
bracis-28352	8	44	each	each	DET
bracis-28352	8	45	criterion	criterion	NOUN
bracis-28352	8	46	.	.	PUNCT
bracis-28352	9	1	access	access	NOUN
bracis-28352	9	2	provided	provide	VERB
bracis-28352	9	3	by	by	ADP
bracis-28352	9	4	university	university	PROPN
bracis-28352	9	5	of	of	ADP
bracis-28352	9	6	notre	notre	PROPN
bracis-28352	9	7	dame	dame	PROPN
bracis-28352	9	8	hesburgh	hesburgh	PROPN
bracis-28352	9	9	library	library	PROPN
bracis-28352	9	10	.	.	PUNCT
bracis-28352	10	1	download	download	PROPN
bracis-28352	10	2	conference	conference	NOUN
bracis-28352	10	3	paper	paper	NOUN
bracis-28352	10	4	pdf	pdf	NOUN
bracis-28352	10	5	similar	similar	ADJ
bracis-28352	10	6	content	content	NOUN
bracis-28352	10	7	being	be	AUX
bracis-28352	10	8	viewed	view	VERB
bracis-28352	10	9	by	by	ADP
bracis-28352	10	10	others	other	NOUN
bracis-28352	10	11	probability	probability	NOUN
bracis-28352	10	12	-	-	PUNCT
bracis-28352	10	13	to	to	ADP
bracis-28352	10	14	-	-	PUNCT
bracis-28352	10	15	goal	goal	NOUN
bracis-28352	10	16	and	and	CCONJ
bracis-28352	10	17	expected	expect	VERB
bracis-28352	10	18	cost	cost	NOUN
bracis-28352	10	19	trade	trade	NOUN
bracis-28352	10	20	-	-	PUNCT
bracis-28352	10	21	off	off	NOUN
bracis-28352	10	22	in	in	ADP
bracis-28352	10	23	stochastic	stochastic	ADJ
bracis-28352	10	24	shortest	short	ADJ
bracis-28352	10	25	path	path	NOUN
bracis-28352	10	26	chapter	chapter	NOUN
bracis-28352	10	27	©	©	PROPN
bracis-28352	10	28	2021	2021	NUM
bracis-28352	10	29	masked	mask	VERB
bracis-28352	10	30	triples	triple	NOUN
bracis-28352	10	31	chapter	chapter	NOUN
bracis-28352	10	32	©	©	PROPN
bracis-28352	10	33	2021	2021	NUM
bracis-28352	10	34	the	the	DET
bracis-28352	10	35	discounted	discount	VERB
bracis-28352	10	36	cost	cost	NOUN
bracis-28352	10	37	model	model	NOUN
bracis-28352	10	38	chapter	chapter	NOUN
bracis-28352	10	39	©	©	PROPN
bracis-28352	10	40	2020	2020	NUM
bracis-28352	10	41	explore	explore	VERB
bracis-28352	10	42	related	relate	VERB
bracis-28352	10	43	subjects	subject	NOUN
bracis-28352	10	44	discover	discover	VERB
bracis-28352	10	45	the	the	DET
bracis-28352	10	46	latest	late	ADJ
bracis-28352	10	47	articles	article	NOUN
bracis-28352	10	48	,	,	PUNCT
bracis-28352	10	49	books	book	NOUN
bracis-28352	10	50	and	and	CCONJ
bracis-28352	10	51	news	news	NOUN
bracis-28352	10	52	in	in	ADP
bracis-28352	10	53	related	related	ADJ
bracis-28352	10	54	subjects	subject	NOUN
bracis-28352	10	55	,	,	PUNCT
bracis-28352	10	56	suggested	suggest	VERB
bracis-28352	10	57	using	use	VERB
bracis-28352	10	58	machine	machine	NOUN
bracis-28352	10	59	learning	learning	NOUN
bracis-28352	10	60	.	.	PUNCT
bracis-28352	11	1	operations	operation	NOUN
bracis-28352	11	2	research	research	NOUN
bracis-28352	11	3	and	and	CCONJ
bracis-28352	11	4	decision	decision	NOUN
bracis-28352	11	5	theory	theory	NOUN
bracis-28352	11	6	probability	probability	NOUN
bracis-28352	11	7	and	and	CCONJ
bracis-28352	11	8	statistics	statistic	NOUN
bracis-28352	11	9	in	in	ADP
bracis-28352	11	10	computer	computer	NOUN
bracis-28352	11	11	science	science	NOUN
bracis-28352	11	12	public	public	ADJ
bracis-28352	11	13	-	-	PUNCT
bracis-28352	11	14	private	private	ADJ
bracis-28352	11	15	partnership	partnership	NOUN
bracis-28352	11	16	socio	socio	NOUN
bracis-28352	11	17	-	-	PUNCT
bracis-28352	11	18	economic	economic	ADJ
bracis-28352	11	19	policy	policy	NOUN
bracis-28352	11	20	social	social	ADJ
bracis-28352	11	21	choice	choice	NOUN
bracis-28352	11	22	and	and	CCONJ
bracis-28352	11	23	welfare	welfare	NOUN
bracis-28352	11	24	utilitarianism	utilitarianism	NOUN
bracis-28352	11	25	1	1	NUM
bracis-28352	11	26	introduction	introduction	NOUN
bracis-28352	11	27	markov	markov	NOUN
bracis-28352	11	28	decision	decision	NOUN
bracis-28352	11	29	processes	process	NOUN
bracis-28352	11	30	(	(	PUNCT
bracis-28352	11	31	mdps	mdps	NOUN
bracis-28352	11	32	)	)	PUNCT
bracis-28352	12	1	[	[	X
bracis-28352	12	2	11	11	NUM
bracis-28352	12	3	]	]	PUNCT
bracis-28352	12	4	constitute	constitute	VERB
bracis-28352	12	5	the	the	DET
bracis-28352	12	6	main	main	ADJ
bracis-28352	12	7	theoretical	theoretical	ADJ
bracis-28352	12	8	framework	framework	NOUN
bracis-28352	12	9	for	for	ADP
bracis-28352	12	10	modeling	model	VERB
bracis-28352	12	11	probabilistic	probabilistic	ADJ
bracis-28352	12	12	planning	planning	NOUN
bracis-28352	12	13	problems	problem	NOUN
bracis-28352	12	14	,	,	PUNCT
bracis-28352	12	15	in	in	ADP
bracis-28352	12	16	which	which	PRON
bracis-28352	12	17	an	an	DET
bracis-28352	12	18	agent	agent	NOUN
bracis-28352	12	19	interacts	interact	VERB
bracis-28352	12	20	with	with	ADP
bracis-28352	12	21	an	an	DET
bracis-28352	12	22	environment	environment	NOUN
bracis-28352	12	23	by	by	ADP
bracis-28352	12	24	applying	apply	VERB
bracis-28352	12	25	actions	action	NOUN
bracis-28352	12	26	with	with	ADP
bracis-28352	12	27	stochastic	stochastic	ADJ
bracis-28352	12	28	outcomes	outcome	NOUN
bracis-28352	12	29	,	,	PUNCT
bracis-28352	12	30	to	to	PART
bracis-28352	12	31	optimize	optimize	VERB
bracis-28352	12	32	a	a	DET
bracis-28352	12	33	given	give	VERB
bracis-28352	12	34	objective	objective	ADJ
bracis-28352	12	35	function	function	NOUN
bracis-28352	12	36	.	.	PUNCT
bracis-28352	13	1	in	in	ADP
bracis-28352	13	2	this	this	DET
bracis-28352	13	3	context	context	NOUN
bracis-28352	13	4	,	,	PUNCT
bracis-28352	13	5	stochastic	stochastic	ADJ
bracis-28352	13	6	shortest	short	ADJ
bracis-28352	13	7	path	path	NOUN
bracis-28352	13	8	(	(	PUNCT
bracis-28352	13	9	ssp	ssp	NOUN
bracis-28352	13	10	)	)	PUNCT
bracis-28352	14	1	[	[	X
bracis-28352	14	2	1	1	X
bracis-28352	14	3	]	]	PUNCT
bracis-28352	14	4	problems	problem	NOUN
bracis-28352	14	5	model	model	VERB
bracis-28352	14	6	scenarios	scenario	NOUN
bracis-28352	14	7	in	in	ADP
bracis-28352	14	8	which	which	PRON
bracis-28352	14	9	an	an	DET
bracis-28352	14	10	agent	agent	NOUN
bracis-28352	14	11	needs	need	VERB
bracis-28352	14	12	to	to	PART
bracis-28352	14	13	minimize	minimize	VERB
bracis-28352	14	14	the	the	DET
bracis-28352	14	15	expected	expect	VERB
bracis-28352	14	16	accumulated	accumulate	VERB
bracis-28352	14	17	cost	cost	NOUN
bracis-28352	14	18	to	to	ADP
bracis-28352	14	19	goal	goal	NOUN
bracis-28352	14	20	.	.	PUNCT
bracis-28352	15	1	the	the	DET
bracis-28352	15	2	solution	solution	NOUN
bracis-28352	15	3	to	to	ADP
bracis-28352	15	4	an	an	DET
bracis-28352	15	5	ssp	ssp	NOUN
bracis-28352	15	6	is	be	AUX
bracis-28352	15	7	a	a	DET
bracis-28352	15	8	policy	policy	NOUN
bracis-28352	15	9	,	,	PUNCT
bracis-28352	15	10	a	a	DET
bracis-28352	15	11	mapping	mapping	NOUN
bracis-28352	15	12	between	between	ADP
bracis-28352	15	13	states	state	NOUN
bracis-28352	15	14	to	to	ADP
bracis-28352	15	15	actions	action	NOUN
bracis-28352	15	16	.	.	PUNCT
bracis-28352	16	1	conventionally	conventionally	ADV
bracis-28352	16	2	,	,	PUNCT
bracis-28352	16	3	ssps	ssps	AUX
bracis-28352	16	4	assume	assume	VERB
bracis-28352	16	5	that	that	SCONJ
bracis-28352	16	6	there	there	PRON
bracis-28352	16	7	is	be	VERB
bracis-28352	16	8	at	at	ADV
bracis-28352	16	9	least	least	ADJ
bracis-28352	16	10	one	one	NUM
bracis-28352	16	11	policy	policy	NOUN
bracis-28352	16	12	that	that	PRON
bracis-28352	16	13	has	have	VERB
bracis-28352	16	14	a	a	DET
bracis-28352	16	15	probability	probability	NOUN
bracis-28352	16	16	of	of	ADP
bracis-28352	16	17	1	1	NUM
bracis-28352	16	18	to	to	PART
bracis-28352	16	19	reach	reach	VERB
bracis-28352	16	20	goals	goal	NOUN
bracis-28352	16	21	when	when	SCONJ
bracis-28352	16	22	followed	follow	VERB
bracis-28352	16	23	by	by	ADP
bracis-28352	16	24	the	the	DET
bracis-28352	16	25	agent	agent	NOUN
bracis-28352	16	26	.	.	PUNCT
bracis-28352	17	1	realistically	realistically	ADV
bracis-28352	17	2	this	this	PRON
bracis-28352	17	3	is	be	AUX
bracis-28352	17	4	a	a	DET
bracis-28352	17	5	strong	strong	ADJ
bracis-28352	17	6	requirement	requirement	NOUN
bracis-28352	17	7	.	.	PUNCT
bracis-28352	18	1	environments	environment	NOUN
bracis-28352	18	2	commonly	commonly	ADV
bracis-28352	18	3	have	have	VERB
bracis-28352	18	4	dead	dead	ADJ
bracis-28352	18	5	ends	end	NOUN
bracis-28352	18	6	,	,	PUNCT
bracis-28352	18	7	defined	define	VERB
bracis-28352	18	8	as	as	ADP
bracis-28352	18	9	states	state	NOUN
bracis-28352	18	10	from	from	ADP
bracis-28352	18	11	which	which	PRON
bracis-28352	18	12	goals	goal	NOUN
bracis-28352	18	13	can	can	AUX
bracis-28352	18	14	not	not	PART
bracis-28352	18	15	be	be	AUX
bracis-28352	18	16	reached	reach	VERB
bracis-28352	18	17	.	.	PUNCT
bracis-28352	19	1	when	when	SCONJ
bracis-28352	19	2	these	these	DET
bracis-28352	19	3	states	state	NOUN
bracis-28352	19	4	exist	exist	VERB
bracis-28352	19	5	and	and	CCONJ
bracis-28352	19	6	are	be	AUX
bracis-28352	19	7	unavoidable	unavoidable	ADJ
bracis-28352	19	8	,	,	PUNCT
bracis-28352	19	9	the	the	DET
bracis-28352	19	10	conventional	conventional	ADJ
bracis-28352	19	11	requirement	requirement	NOUN
bracis-28352	19	12	for	for	ADP
bracis-28352	19	13	solving	solve	VERB
bracis-28352	19	14	ssps	ssps	NOUN
bracis-28352	19	15	is	be	AUX
bracis-28352	19	16	not	not	PART
bracis-28352	19	17	well	well	ADV
bracis-28352	19	18	-	-	PUNCT
bracis-28352	19	19	defined	define	VERB
bracis-28352	19	20	.	.	PUNCT
bracis-28352	20	1	this	this	PRON
bracis-28352	20	2	requires	require	VERB
bracis-28352	20	3	the	the	DET
bracis-28352	20	4	definition	definition	NOUN
bracis-28352	20	5	of	of	ADP
bracis-28352	20	6	alternate	alternate	ADJ
bracis-28352	20	7	criteria	criterion	NOUN
bracis-28352	20	8	to	to	PART
bracis-28352	20	9	address	address	VERB
bracis-28352	20	10	this	this	DET
bracis-28352	20	11	particular	particular	ADJ
bracis-28352	20	12	case	case	NOUN
bracis-28352	20	13	.	.	PUNCT
bracis-28352	21	1	several	several	ADJ
bracis-28352	21	2	criteria	criterion	NOUN
bracis-28352	21	3	were	be	AUX
bracis-28352	21	4	proposed	propose	VERB
bracis-28352	21	5	in	in	ADP
bracis-28352	21	6	the	the	DET
bracis-28352	21	7	literature	literature	NOUN
bracis-28352	21	8	in	in	ADP
bracis-28352	21	9	this	this	DET
bracis-28352	21	10	context	context	NOUN
bracis-28352	21	11	.	.	PUNCT
bracis-28352	22	1	the	the	DET
bracis-28352	22	2	maxprob	maxprob	ADJ
bracis-28352	22	3	criterion	criterion	NOUN
bracis-28352	22	4	[	[	X
bracis-28352	22	5	7	7	X
bracis-28352	22	6	]	]	X
bracis-28352	22	7	chooses	choose	VERB
bracis-28352	22	8	policies	policy	NOUN
bracis-28352	22	9	that	that	PRON
bracis-28352	22	10	maximize	maximize	VERB
bracis-28352	22	11	the	the	DET
bracis-28352	22	12	probability	probability	NOUN
bracis-28352	22	13	of	of	ADP
bracis-28352	22	14	reaching	reach	VERB
bracis-28352	22	15	goals	goal	NOUN
bracis-28352	22	16	(	(	PUNCT
bracis-28352	22	17	probability	probability	NOUN
bracis-28352	22	18	-	-	PUNCT
bracis-28352	22	19	to	to	ADP
bracis-28352	22	20	-	-	PUNCT
bracis-28352	22	21	goal	goal	NOUN
bracis-28352	22	22	)	)	PUNCT
bracis-28352	22	23	.	.	PUNCT
bracis-28352	23	1	the	the	DET
bracis-28352	23	2	s3p	s3p	PROPN
bracis-28352	24	1	[	[	X
bracis-28352	24	2	14	14	NUM
bracis-28352	24	3	]	]	PUNCT
bracis-28352	24	4	and	and	CCONJ
bracis-28352	24	5	isspude	isspude	NOUN
bracis-28352	24	6	[	[	X
bracis-28352	24	7	6	6	NUM
bracis-28352	24	8	]	]	PUNCT
bracis-28352	24	9	criteria	criterion	NOUN
bracis-28352	24	10	also	also	ADV
bracis-28352	24	11	prefer	prefer	VERB
bracis-28352	24	12	policies	policy	NOUN
bracis-28352	24	13	that	that	PRON
bracis-28352	24	14	maximize	maximize	VERB
bracis-28352	24	15	probability	probability	NOUN
bracis-28352	24	16	-	-	PUNCT
bracis-28352	24	17	to	to	ADP
bracis-28352	24	18	-	-	PUNCT
bracis-28352	24	19	goal	goal	NOUN
bracis-28352	24	20	,	,	PUNCT
bracis-28352	24	21	then	then	ADV
bracis-28352	24	22	choose	choose	VERB
bracis-28352	24	23	the	the	DET
bracis-28352	24	24	ones	one	NOUN
bracis-28352	24	25	that	that	PRON
bracis-28352	24	26	minimize	minimize	VERB
bracis-28352	24	27	cost	cost	NOUN
bracis-28352	24	28	measures	measure	NOUN
bracis-28352	24	29	only	only	ADV
bracis-28352	24	30	considering	consider	VERB
bracis-28352	24	31	histories	history	NOUN
bracis-28352	24	32	that	that	PRON
bracis-28352	24	33	reach	reach	VERB
bracis-28352	24	34	the	the	DET
bracis-28352	24	35	goal	goal	NOUN
bracis-28352	24	36	.	.	PUNCT
bracis-28352	25	1	the	the	DET
bracis-28352	25	2	mcmp	mcmp	NOUN
bracis-28352	25	3	criterion	criterion	NOUN
bracis-28352	25	4	[	[	X
bracis-28352	25	5	16	16	NUM
bracis-28352	25	6	]	]	X
bracis-28352	25	7	,	,	PUNCT
bracis-28352	25	8	on	on	ADP
bracis-28352	25	9	the	the	DET
bracis-28352	25	10	other	other	ADJ
bracis-28352	25	11	hand	hand	NOUN
bracis-28352	25	12	,	,	PUNCT
bracis-28352	25	13	chooses	choose	VERB
bracis-28352	25	14	policies	policy	NOUN
bracis-28352	25	15	that	that	PRON
bracis-28352	25	16	maximize	maximize	VERB
bracis-28352	25	17	probability	probability	NOUN
bracis-28352	25	18	-	-	PUNCT
bracis-28352	25	19	to	to	ADP
bracis-28352	25	20	-	-	PUNCT
bracis-28352	25	21	goal	goal	NOUN
bracis-28352	25	22	,	,	PUNCT
bracis-28352	25	23	but	but	CCONJ
bracis-28352	25	24	then	then	ADV
bracis-28352	25	25	it	it	PRON
bracis-28352	25	26	minimizes	minimize	VERB
bracis-28352	25	27	a	a	DET
bracis-28352	25	28	different	different	ADJ
bracis-28352	25	29	cost	cost	NOUN
bracis-28352	25	30	measure	measure	NOUN
bracis-28352	25	31	that	that	PRON
bracis-28352	25	32	does	do	AUX
bracis-28352	25	33	not	not	PART
bracis-28352	25	34	ignore	ignore	VERB
bracis-28352	25	35	histories	history	NOUN
bracis-28352	25	36	that	that	PRON
bracis-28352	25	37	have	have	VERB
bracis-28352	25	38	dead	dead	ADJ
bracis-28352	25	39	-	-	PUNCT
bracis-28352	25	40	end	end	NOUN
bracis-28352	25	41	states	state	NOUN
bracis-28352	25	42	.	.	PUNCT
bracis-28352	26	1	this	this	PRON
bracis-28352	26	2	can	can	AUX
bracis-28352	26	3	lead	lead	VERB
bracis-28352	26	4	to	to	ADP
bracis-28352	26	5	more	more	ADV
bracis-28352	26	6	natural	natural	ADJ
bracis-28352	26	7	optimal	optimal	ADJ
bracis-28352	26	8	policies	policy	NOUN
bracis-28352	26	9	when	when	SCONJ
bracis-28352	26	10	compared	compare	VERB
bracis-28352	26	11	to	to	ADP
bracis-28352	26	12	s3p	s3p	PROPN
bracis-28352	26	13	and	and	CCONJ
bracis-28352	26	14	isspude	isspude	NOUN
bracis-28352	26	15	since	since	SCONJ
bracis-28352	26	16	dead	dead	ADJ
bracis-28352	26	17	ends	end	NOUN
bracis-28352	26	18	are	be	AUX
bracis-28352	26	19	taken	take	VERB
bracis-28352	26	20	into	into	ADP
bracis-28352	26	21	account	account	NOUN
bracis-28352	26	22	.	.	PUNCT
bracis-28352	27	1	also	also	ADV
bracis-28352	27	2	,	,	PUNCT
bracis-28352	27	3	since	since	SCONJ
bracis-28352	27	4	it	it	PRON
bracis-28352	27	5	can	can	AUX
bracis-28352	27	6	be	be	AUX
bracis-28352	27	7	formulated	formulate	VERB
bracis-28352	27	8	as	as	ADP
bracis-28352	27	9	a	a	DET
bracis-28352	27	10	linear	linear	PROPN
bracis-28352	27	11	program	program	NOUN
bracis-28352	27	12	,	,	PUNCT
bracis-28352	27	13	efficient	efficient	ADJ
bracis-28352	27	14	state	state	NOUN
bracis-28352	27	15	-	-	PUNCT
bracis-28352	27	16	of	of	ADP
bracis-28352	27	17	-	-	PUNCT
bracis-28352	27	18	the	the	DET
bracis-28352	27	19	-	-	PUNCT
bracis-28352	27	20	art	art	NOUN
bracis-28352	27	21	methods	method	NOUN
bracis-28352	27	22	can	can	AUX
bracis-28352	27	23	be	be	AUX
bracis-28352	27	24	used	use	VERB
bracis-28352	27	25	to	to	PART
bracis-28352	27	26	solve	solve	VERB
bracis-28352	27	27	this	this	DET
bracis-28352	27	28	criterion	criterion	NOUN
bracis-28352	27	29	.	.	PUNCT
bracis-28352	28	1	other	other	ADJ
bracis-28352	28	2	criteria	criterion	NOUN
bracis-28352	28	3	make	make	VERB
bracis-28352	28	4	trade	trade	NOUN
bracis-28352	28	5	-	-	PUNCT
bracis-28352	28	6	offs	off	NOUN
bracis-28352	28	7	between	between	ADP
bracis-28352	28	8	probability	probability	NOUN
bracis-28352	28	9	-	-	PUNCT
bracis-28352	28	10	to	to	ADP
bracis-28352	28	11	-	-	PUNCT
bracis-28352	28	12	goal	goal	NOUN
bracis-28352	28	13	and	and	CCONJ
bracis-28352	28	14	cost	cost	NOUN
bracis-28352	28	15	measures	measure	NOUN
bracis-28352	28	16	,	,	PUNCT
bracis-28352	28	17	such	such	ADJ
bracis-28352	28	18	that	that	SCONJ
bracis-28352	28	19	they	they	PRON
bracis-28352	28	20	do	do	AUX
bracis-28352	28	21	not	not	PART
bracis-28352	28	22	only	only	ADV
bracis-28352	28	23	prefer	prefer	VERB
bracis-28352	28	24	policies	policy	NOUN
bracis-28352	28	25	that	that	PRON
bracis-28352	28	26	maximize	maximize	VERB
bracis-28352	28	27	probability	probability	NOUN
bracis-28352	28	28	-	-	PUNCT
bracis-28352	28	29	to	to	ADP
bracis-28352	28	30	-	-	PUNCT
bracis-28352	28	31	goal	goal	NOUN
bracis-28352	28	32	.	.	PUNCT
bracis-28352	29	1	the	the	DET
bracis-28352	29	2	fsspude	fsspude	NOUN
bracis-28352	29	3	[	[	X
bracis-28352	29	4	6	6	NUM
bracis-28352	29	5	]	]	PUNCT
bracis-28352	29	6	criterion	criterion	NOUN
bracis-28352	29	7	uses	use	VERB
bracis-28352	29	8	a	a	DET
bracis-28352	29	9	finite	finite	ADJ
bracis-28352	29	10	penalty	penalty	NOUN
bracis-28352	29	11	to	to	PART
bracis-28352	29	12	give	give	VERB
bracis-28352	29	13	up	up	ADP
bracis-28352	29	14	,	,	PUNCT
bracis-28352	29	15	such	such	ADJ
bracis-28352	29	16	that	that	SCONJ
bracis-28352	29	17	the	the	DET
bracis-28352	29	18	agent	agent	NOUN
bracis-28352	29	19	can	can	AUX
bracis-28352	29	20	pay	pay	VERB
bracis-28352	29	21	this	this	DET
bracis-28352	29	22	value	value	NOUN
bracis-28352	29	23	to	to	PART
bracis-28352	29	24	exit	exit	VERB
bracis-28352	29	25	the	the	DET
bracis-28352	29	26	process	process	NOUN
bracis-28352	29	27	at	at	ADP
bracis-28352	29	28	any	any	DET
bracis-28352	29	29	step	step	NOUN
bracis-28352	29	30	.	.	PUNCT
bracis-28352	30	1	a	a	DET
bracis-28352	30	2	discount	discount	NOUN
bracis-28352	30	3	factor	factor	NOUN
bracis-28352	30	4	,	,	PUNCT
bracis-28352	30	5	commonly	commonly	ADV
bracis-28352	30	6	used	use	VERB
bracis-28352	30	7	in	in	ADP
bracis-28352	30	8	infinite	infinite	ADJ
bracis-28352	30	9	horizon	horizon	NOUN
bracis-28352	30	10	mdps	mdps	NOUN
bracis-28352	31	1	[	[	X
bracis-28352	31	2	11	11	NUM
bracis-28352	31	3	]	]	PUNCT
bracis-28352	31	4	,	,	PUNCT
bracis-28352	31	5	can	can	AUX
bracis-28352	31	6	also	also	ADV
bracis-28352	31	7	be	be	AUX
bracis-28352	31	8	used	use	VERB
bracis-28352	31	9	in	in	ADP
bracis-28352	31	10	ssps	ssps	NOUN
bracis-28352	31	11	for	for	ADP
bracis-28352	31	12	making	make	VERB
bracis-28352	31	13	such	such	ADJ
bracis-28352	31	14	trade	trade	NOUN
bracis-28352	31	15	-	-	PUNCT
bracis-28352	31	16	offs	off	NOUN
bracis-28352	31	17	[	[	X
bracis-28352	31	18	15	15	NUM
bracis-28352	31	19	]	]	PUNCT
bracis-28352	31	20	.	.	PUNCT
bracis-28352	32	1	the	the	DET
bracis-28352	32	2	gubs	gubs	ADJ
bracis-28352	32	3	criterion	criterion	NOUN
bracis-28352	32	4	[	[	X
bracis-28352	32	5	4	4	NUM
bracis-28352	32	6	]	]	PUNCT
bracis-28352	32	7	was	be	AUX
bracis-28352	32	8	proposed	propose	VERB
bracis-28352	32	9	as	as	ADP
bracis-28352	32	10	an	an	DET
bracis-28352	32	11	alternative	alternative	NOUN
bracis-28352	32	12	for	for	ADP
bracis-28352	32	13	criteria	criterion	NOUN
bracis-28352	32	14	that	that	PRON
bracis-28352	32	15	make	make	VERB
bracis-28352	32	16	trade	trade	NOUN
bracis-28352	32	17	-	-	PUNCT
bracis-28352	32	18	offs	off	NOUN
bracis-28352	32	19	between	between	ADP
bracis-28352	32	20	probability	probability	NOUN
bracis-28352	32	21	-	-	PUNCT
bracis-28352	32	22	to	to	ADP
bracis-28352	32	23	-	-	PUNCT
bracis-28352	32	24	goal	goal	NOUN
bracis-28352	32	25	and	and	CCONJ
bracis-28352	32	26	cost	cost	NOUN
bracis-28352	32	27	measures	measure	NOUN
bracis-28352	32	28	.	.	PUNCT
bracis-28352	33	1	among	among	ADP
bracis-28352	33	2	other	other	ADJ
bracis-28352	33	3	features	feature	NOUN
bracis-28352	33	4	,	,	PUNCT
bracis-28352	33	5	gubs	gub	NOUN
bracis-28352	33	6	maintains	maintain	VERB
bracis-28352	33	7	good	good	ADJ
bracis-28352	33	8	theoretical	theoretical	ADJ
bracis-28352	33	9	properties	property	NOUN
bracis-28352	33	10	,	,	PUNCT
bracis-28352	33	11	like	like	ADP
bracis-28352	33	12	the	the	DET
bracis-28352	33	13	\(\alpha	\(\alpha	NOUN
bracis-28352	33	14	\)-strong	\)-strong	ADP
bracis-28352	33	15	probability	probability	NOUN
bracis-28352	33	16	-	-	PUNCT
bracis-28352	33	17	to	to	ADP
bracis-28352	33	18	-	-	PUNCT
bracis-28352	33	19	goal	goal	NOUN
bracis-28352	33	20	priority	priority	NOUN
bracis-28352	33	21	[	[	X
bracis-28352	33	22	2	2	NUM
bracis-28352	33	23	]	]	PUNCT
bracis-28352	33	24	,	,	PUNCT
bracis-28352	33	25	which	which	PRON
bracis-28352	33	26	guarantees	guarantee	VERB
bracis-28352	33	27	a	a	DET
bracis-28352	33	28	lower	low	ADJ
bracis-28352	33	29	bound	bind	VERB
bracis-28352	33	30	on	on	ADP
bracis-28352	33	31	the	the	DET
bracis-28352	33	32	ratio	ratio	NOUN
bracis-28352	33	33	of	of	ADP
bracis-28352	33	34	probability	probability	NOUN
bracis-28352	33	35	-	-	PUNCT
bracis-28352	33	36	to	to	ADP
bracis-28352	33	37	-	-	PUNCT
bracis-28352	33	38	goal	goal	NOUN
bracis-28352	33	39	values	value	NOUN
bracis-28352	33	40	considering	consider	VERB
bracis-28352	33	41	pairs	pair	NOUN
bracis-28352	33	42	of	of	ADP
bracis-28352	33	43	policies	policy	NOUN
bracis-28352	33	44	,	,	PUNCT
bracis-28352	33	45	for	for	ADP
bracis-28352	33	46	a	a	DET
bracis-28352	33	47	given	give	VERB
bracis-28352	33	48	value	value	NOUN
bracis-28352	33	49	of	of	ADP
bracis-28352	33	50	\(0	\(0	PROPN
bracis-28352	33	51	\le	\le	PROPN
bracis-28352	33	52	\alpha	\alpha	PROPN
bracis-28352	33	53	\le	\le	PROPN
bracis-28352	33	54	1\	1\	NUM
bracis-28352	33	55	)	)	PUNCT
bracis-28352	33	56	.	.	PUNCT
bracis-28352	34	1	between	between	ADP
bracis-28352	34	2	the	the	DET
bracis-28352	34	3	criteria	criterion	NOUN
bracis-28352	34	4	that	that	PRON
bracis-28352	34	5	were	be	AUX
bracis-28352	34	6	mentioned	mention	VERB
bracis-28352	34	7	,	,	PUNCT
bracis-28352	34	8	gubs	gub	NOUN
bracis-28352	34	9	is	be	AUX
bracis-28352	34	10	the	the	DET
bracis-28352	34	11	only	only	ADJ
bracis-28352	34	12	one	one	NUM
bracis-28352	34	13	that	that	PRON
bracis-28352	34	14	guarantees	guarantee	VERB
bracis-28352	34	15	\(\alpha	\(\alpha	NOUN
bracis-28352	34	16	\)-strong	\)-strong	ADP
bracis-28352	34	17	probability	probability	NOUN
bracis-28352	34	18	-	-	PUNCT
bracis-28352	34	19	to	to	ADP
bracis-28352	34	20	-	-	PUNCT
bracis-28352	34	21	goal	goal	NOUN
bracis-28352	34	22	priority	priority	NOUN
bracis-28352	34	23	for	for	ADP
bracis-28352	34	24	\(0	\(0	PROPN
bracis-28352	34	25	\le	\le	PROPN
bracis-28352	34	26	\alpha	\alpha	PROPN
bracis-28352	34	27	\le	\le	PROPN
bracis-28352	34	28	1\	1\	NUM
bracis-28352	34	29	)	)	PUNCT
bracis-28352	34	30	.	.	PUNCT
bracis-28352	35	1	however	however	ADV
bracis-28352	35	2	,	,	PUNCT
bracis-28352	35	3	we	we	PRON
bracis-28352	35	4	can	can	AUX
bracis-28352	35	5	modify	modify	VERB
bracis-28352	35	6	constraints	constraint	NOUN
bracis-28352	35	7	in	in	ADP
bracis-28352	35	8	the	the	DET
bracis-28352	35	9	mcmp	mcmp	NOUN
bracis-28352	35	10	linear	linear	PROPN
bracis-28352	35	11	programming	programming	NOUN
bracis-28352	35	12	formulation	formulation	NOUN
bracis-28352	35	13	such	such	DET
bracis-28352	35	14	that	that	SCONJ
bracis-28352	35	15	a	a	DET
bracis-28352	35	16	new	new	ADJ
bracis-28352	35	17	criterion	criterion	NOUN
bracis-28352	35	18	,	,	PUNCT
bracis-28352	35	19	which	which	PRON
bracis-28352	35	20	also	also	ADV
bracis-28352	35	21	guarantees	guarantee	VERB
bracis-28352	35	22	\(\alpha	\(\alpha	NOUN
bracis-28352	35	23	\)-strong	\)-strong	ADP
bracis-28352	35	24	probability	probability	NOUN
bracis-28352	35	25	-	-	PUNCT
bracis-28352	35	26	to	to	ADP
bracis-28352	35	27	-	-	PUNCT
bracis-28352	35	28	goal	goal	NOUN
bracis-28352	35	29	priority	priority	NOUN
bracis-28352	35	30	for	for	ADP
bracis-28352	35	31	\(0	\(0	PROPN
bracis-28352	35	32	\le	\le	PROPN
bracis-28352	35	33	\alpha	\alpha	PROPN
bracis-28352	35	34	\le	\le	PROPN
bracis-28352	35	35	1\	1\	NUM
bracis-28352	35	36	)	)	PUNCT
bracis-28352	35	37	,	,	PUNCT
bracis-28352	35	38	is	be	AUX
bracis-28352	35	39	obtained	obtain	VERB
bracis-28352	35	40	.	.	PUNCT
bracis-28352	36	1	in	in	ADP
bracis-28352	36	2	this	this	DET
bracis-28352	36	3	paper	paper	NOUN
bracis-28352	36	4	,	,	PUNCT
bracis-28352	36	5	we	we	PRON
bracis-28352	36	6	thus	thus	ADV
bracis-28352	36	7	propose	propose	VERB
bracis-28352	36	8	\(\alpha	\(\alpha	NOUN
bracis-28352	36	9	\)-mcmp	\)-mcmp	NUM
bracis-28352	36	10	,	,	PUNCT
bracis-28352	36	11	a	a	DET
bracis-28352	36	12	criterion	criterion	NOUN
bracis-28352	36	13	derived	derive	VERB
bracis-28352	36	14	from	from	ADP
bracis-28352	36	15	modifying	modify	VERB
bracis-28352	36	16	a	a	DET
bracis-28352	36	17	constraint	constraint	NOUN
bracis-28352	36	18	in	in	ADP
bracis-28352	36	19	mcmp	mcmp	PROPN
bracis-28352	36	20	’s	’s	PART
bracis-28352	36	21	linear	linear	PROPN
bracis-28352	36	22	programming	programming	NOUN
bracis-28352	36	23	formulation	formulation	NOUN
bracis-28352	36	24	such	such	ADJ
bracis-28352	36	25	that	that	SCONJ
bracis-28352	36	26	it	it	PRON
bracis-28352	36	27	guarantees	guarantee	VERB
bracis-28352	36	28	\(\alpha	\(\alpha	NOUN
bracis-28352	36	29	\)-strong	\)-strong	ADP
bracis-28352	36	30	probability	probability	NOUN
bracis-28352	36	31	-	-	PUNCT
bracis-28352	36	32	to	to	ADP
bracis-28352	36	33	-	-	PUNCT
bracis-28352	36	34	goal	goal	NOUN
bracis-28352	36	35	priority	priority	NOUN
bracis-28352	36	36	for	for	ADP
bracis-28352	36	37	\(0	\(0	PROPN
bracis-28352	36	38	\le	\le	PROPN
bracis-28352	36	39	\alpha	\alpha	PROPN
bracis-28352	36	40	\le	\le	PROPN
bracis-28352	36	41	1\	1\	NUM
bracis-28352	36	42	)	)	PUNCT
bracis-28352	36	43	.	.	PUNCT
bracis-28352	37	1	we	we	PRON
bracis-28352	37	2	also	also	ADV
bracis-28352	37	3	perform	perform	VERB
bracis-28352	37	4	experiments	experiment	NOUN
bracis-28352	37	5	to	to	PART
bracis-28352	37	6	evaluate	evaluate	VERB
bracis-28352	37	7	the	the	DET
bracis-28352	37	8	differences	difference	NOUN
bracis-28352	37	9	in	in	ADP
bracis-28352	37	10	the	the	DET
bracis-28352	37	11	preference	preference	NOUN
bracis-28352	37	12	of	of	ADP
bracis-28352	37	13	policies	policy	NOUN
bracis-28352	37	14	of	of	ADP
bracis-28352	37	15	\(\alpha	\(\alpha	NOUN
bracis-28352	37	16	\)-mcmp	\)-mcmp	NOUN
bracis-28352	37	17	and	and	CCONJ
bracis-28352	37	18	gubs	gub	NOUN
bracis-28352	37	19	.	.	PUNCT
bracis-28352	38	1	the	the	DET
bracis-28352	38	2	structure	structure	NOUN
bracis-28352	38	3	of	of	ADP
bracis-28352	38	4	this	this	DET
bracis-28352	38	5	work	work	NOUN
bracis-28352	38	6	is	be	AUX
bracis-28352	38	7	defined	define	VERB
bracis-28352	38	8	as	as	SCONJ
bracis-28352	38	9	follows	follow	VERB
bracis-28352	38	10	:	:	PUNCT
bracis-28352	38	11	sect	sect	NOUN
bracis-28352	38	12	.	.	PUNCT
bracis-28352	38	13	 	 	SPACE
bracis-28352	39	1	2	2	NUM
bracis-28352	39	2	contains	contain	VERB
bracis-28352	39	3	the	the	DET
bracis-28352	39	4	background	background	NOUN
bracis-28352	39	5	for	for	ADP
bracis-28352	39	6	this	this	DET
bracis-28352	39	7	work	work	NOUN
bracis-28352	39	8	,	,	PUNCT
bracis-28352	39	9	outlining	outline	VERB
bracis-28352	39	10	definitions	definition	NOUN
bracis-28352	39	11	and	and	CCONJ
bracis-28352	39	12	properties	property	NOUN
bracis-28352	39	13	of	of	ADP
bracis-28352	39	14	ssps	ssps	NOUN
bracis-28352	39	15	and	and	CCONJ
bracis-28352	39	16	alternate	alternate	ADJ
bracis-28352	39	17	criteria	criterion	NOUN
bracis-28352	39	18	to	to	PART
bracis-28352	39	19	solve	solve	VERB
bracis-28352	39	20	them	they	PRON
bracis-28352	39	21	in	in	ADP
bracis-28352	39	22	the	the	DET
bracis-28352	39	23	presence	presence	NOUN
bracis-28352	39	24	of	of	ADP
bracis-28352	39	25	unavoidable	unavoidable	ADJ
bracis-28352	39	26	dead	dead	ADJ
bracis-28352	39	27	ends	end	NOUN
bracis-28352	39	28	;	;	PUNCT
bracis-28352	39	29	sect	sect	NOUN
bracis-28352	39	30	.	.	PUNCT
bracis-28352	39	31	 	 	SPACE
bracis-28352	40	1	3	3	NUM
bracis-28352	40	2	introduces	introduce	NOUN
bracis-28352	40	3	\(\alpha	\(\alpha	PART
bracis-28352	40	4	\)-mcmp	\)-mcmp	PRON
bracis-28352	40	5	and	and	CCONJ
bracis-28352	40	6	a	a	DET
bracis-28352	40	7	proof	proof	NOUN
bracis-28352	40	8	that	that	SCONJ
bracis-28352	40	9	it	it	PRON
bracis-28352	40	10	maintains	maintain	VERB
bracis-28352	40	11	the	the	DET
bracis-28352	40	12	\(\alpha	\(\alpha	NOUN
bracis-28352	40	13	\)-strong	\)-strong	ADP
bracis-28352	40	14	probability	probability	NOUN
bracis-28352	40	15	-	-	PUNCT
bracis-28352	40	16	to	to	ADP
bracis-28352	40	17	-	-	PUNCT
bracis-28352	40	18	goal	goal	NOUN
bracis-28352	40	19	priority	priority	NOUN
bracis-28352	40	20	property	property	NOUN
bracis-28352	40	21	,	,	PUNCT
bracis-28352	40	22	as	as	ADV
bracis-28352	40	23	well	well	ADV
bracis-28352	40	24	as	as	ADP
bracis-28352	40	25	some	some	DET
bracis-28352	40	26	differences	difference	NOUN
bracis-28352	40	27	between	between	ADP
bracis-28352	40	28	this	this	DET
bracis-28352	40	29	new	new	ADJ
bracis-28352	40	30	criterion	criterion	NOUN
bracis-28352	40	31	and	and	CCONJ
bracis-28352	40	32	gubs	gub	NOUN
bracis-28352	40	33	;	;	PUNCT
bracis-28352	40	34	sect	sect	NOUN
bracis-28352	40	35	.	.	PUNCT
bracis-28352	40	36	 	 	SPACE
bracis-28352	41	1	4	4	NUM
bracis-28352	41	2	describes	describe	VERB
bracis-28352	41	3	the	the	DET
bracis-28352	41	4	empirical	empirical	ADJ
bracis-28352	41	5	evaluation	evaluation	NOUN
bracis-28352	41	6	that	that	PRON
bracis-28352	41	7	was	be	AUX
bracis-28352	41	8	performed	perform	VERB
bracis-28352	41	9	;	;	PUNCT
bracis-28352	41	10	and	and	CCONJ
bracis-28352	41	11	sect	sect	NOUN
bracis-28352	41	12	.	.	PUNCT
bracis-28352	41	13	 	 	SPACE
bracis-28352	42	1	5	5	NUM
bracis-28352	42	2	has	have	VERB
bracis-28352	42	3	the	the	DET
bracis-28352	42	4	conclusion	conclusion	NOUN
bracis-28352	42	5	of	of	ADP
bracis-28352	42	6	the	the	DET
bracis-28352	42	7	present	present	ADJ
bracis-28352	42	8	work	work	NOUN
bracis-28352	42	9	.	.	PUNCT
bracis-28352	43	1	2	2	NUM
bracis-28352	43	2	background	background	NOUN
bracis-28352	43	3	the	the	DET
bracis-28352	43	4	following	follow	VERB
bracis-28352	43	5	subsections	subsection	NOUN
bracis-28352	43	6	will	will	AUX
bracis-28352	43	7	cover	cover	VERB
bracis-28352	43	8	definitions	definition	NOUN
bracis-28352	43	9	and	and	CCONJ
bracis-28352	43	10	properties	property	NOUN
bracis-28352	43	11	that	that	PRON
bracis-28352	43	12	will	will	AUX
bracis-28352	43	13	be	be	AUX
bracis-28352	43	14	used	use	VERB
bracis-28352	43	15	throughout	throughout	ADP
bracis-28352	43	16	this	this	DET
bracis-28352	43	17	paper	paper	NOUN
bracis-28352	43	18	.	.	PUNCT
bracis-28352	44	1	2.1	2.1	NUM
bracis-28352	44	2	stochastic	stochastic	ADJ
bracis-28352	44	3	shortest	short	ADJ
bracis-28352	44	4	path	path	NOUN
bracis-28352	44	5	(	(	PUNCT
bracis-28352	44	6	ssp	ssp	NOUN
bracis-28352	44	7	)	)	PUNCT
bracis-28352	44	8	problems	problem	NOUN
bracis-28352	44	9	a	a	DET
bracis-28352	44	10	stochastic	stochastic	ADJ
bracis-28352	44	11	shortest	short	ADJ
bracis-28352	44	12	path	path	NOUN
bracis-28352	44	13	(	(	PUNCT
bracis-28352	44	14	ssp	ssp	NOUN
bracis-28352	44	15	)	)	PUNCT
bracis-28352	44	16	problem	problem	NOUN
bracis-28352	45	1	[	[	X
bracis-28352	45	2	1	1	X
bracis-28352	45	3	]	]	PUNCT
bracis-28352	45	4	is	be	AUX
bracis-28352	45	5	an	an	DET
bracis-28352	45	6	indefinite	indefinite	ADJ
bracis-28352	45	7	-	-	PUNCT
bracis-28352	45	8	horizon	horizon	NOUN
bracis-28352	45	9	stochastic	stochastic	ADJ
bracis-28352	45	10	process	process	NOUN
bracis-28352	45	11	in	in	ADP
bracis-28352	45	12	which	which	PRON
bracis-28352	45	13	at	at	ADP
bracis-28352	45	14	time	time	NOUN
bracis-28352	45	15	t	t	NOUN
bracis-28352	45	16	the	the	DET
bracis-28352	45	17	agent	agent	NOUN
bracis-28352	45	18	is	be	AUX
bracis-28352	45	19	at	at	ADP
bracis-28352	45	20	a	a	DET
bracis-28352	45	21	state	state	NOUN
bracis-28352	45	22	\(s_t\	\(s_t\	NOUN
bracis-28352	45	23	)	)	PUNCT
bracis-28352	45	24	and	and	CCONJ
bracis-28352	45	25	can	can	AUX
bracis-28352	45	26	choose	choose	VERB
bracis-28352	45	27	an	an	DET
bracis-28352	45	28	action	action	NOUN
bracis-28352	45	29	\(a_t\	\(a_t\	PUNCT
bracis-28352	45	30	)	)	PUNCT
bracis-28352	45	31	that	that	PRON
bracis-28352	45	32	will	will	AUX
bracis-28352	45	33	lead	lead	VERB
bracis-28352	45	34	to	to	ADP
bracis-28352	45	35	\(s_{t	\(s_{t	NOUN
bracis-28352	45	36	+	+	PROPN
bracis-28352	45	37	1}\	1}\	NUM
bracis-28352	45	38	)	)	PUNCT
bracis-28352	45	39	given	give	VERB
bracis-28352	45	40	a	a	DET
bracis-28352	45	41	probability	probability	NOUN
bracis-28352	45	42	distribution	distribution	NOUN
bracis-28352	45	43	on	on	ADP
bracis-28352	45	44	\(s_t\	\(s_t\	ADJ
bracis-28352	45	45	)	)	PUNCT
bracis-28352	45	46	and	and	CCONJ
bracis-28352	45	47	a	a	PRON
bracis-28352	45	48	by	by	ADP
bracis-28352	45	49	paying	pay	VERB
bracis-28352	45	50	a	a	DET
bracis-28352	45	51	cost	cost	NOUN
bracis-28352	45	52	of	of	ADP
bracis-28352	45	53	\(c_t\	\(c_t\	NOUN
bracis-28352	45	54	)	)	PUNCT
bracis-28352	45	55	.	.	PUNCT
bracis-28352	46	1	definition	definition	NOUN
bracis-28352	46	2	1	1	NUM
bracis-28352	46	3	an	an	DET
bracis-28352	46	4	ssp	ssp	NOUN
bracis-28352	46	5	[	[	X
bracis-28352	46	6	1	1	X
bracis-28352	46	7	]	]	PUNCT
bracis-28352	46	8	is	be	AUX
bracis-28352	46	9	a	a	DET
bracis-28352	46	10	tuple	tuple	NOUN
bracis-28352	46	11	\(\mathcal	\(\mathcal	ADJ
bracis-28352	46	12	{	{	PUNCT
bracis-28352	46	13	m	m	NOUN
bracis-28352	46	14	}	}	PUNCT
bracis-28352	46	15	=	=	PUNCT
bracis-28352	47	1	\langle	\langle	PROPN
bracis-28352	47	2	\mathcal	\mathcal	PROPN
bracis-28352	47	3	{	{	PUNCT
bracis-28352	47	4	s	s	NOUN
bracis-28352	47	5	}	}	PUNCT
bracis-28352	47	6	,	,	PUNCT
bracis-28352	47	7	s_0	s_0	ADJ
bracis-28352	47	8	,	,	PUNCT
bracis-28352	47	9	\mathcal	\mathcal	PROPN
bracis-28352	47	10	{	{	PUNCT
bracis-28352	47	11	a	a	NOUN
bracis-28352	47	12	}	}	PUNCT
bracis-28352	47	13	,	,	PUNCT
bracis-28352	47	14	p	p	X
bracis-28352	47	15	,	,	PUNCT
bracis-28352	47	16	c	c	X
bracis-28352	47	17	,	,	PUNCT
bracis-28352	47	18	\mathcal	\mathcal	ADJ
bracis-28352	47	19	{	{	PUNCT
bracis-28352	47	20	g}\rangle	g}\rangle	PROPN
bracis-28352	47	21	\	\	PROPN
bracis-28352	47	22	)	)	PUNCT
bracis-28352	47	23	,	,	PUNCT
bracis-28352	47	24	where	where	SCONJ
bracis-28352	47	25	:	:	PUNCT
bracis-28352	47	26	\(\mathcal	\(\mathcal	ADJ
bracis-28352	47	27	{	{	PUNCT
bracis-28352	47	28	s}\	s}\	NUM
bracis-28352	47	29	)	)	PUNCT
bracis-28352	47	30	is	be	AUX
bracis-28352	47	31	a	a	DET
bracis-28352	47	32	finite	finite	ADJ
bracis-28352	47	33	set	set	NOUN
bracis-28352	47	34	of	of	ADP
bracis-28352	47	35	states	state	NOUN
bracis-28352	47	36	;	;	PUNCT
bracis-28352	47	37	\(s_0\in	\(s_0\in	PROPN
bracis-28352	47	38	\mathcal	\mathcal	PROPN
bracis-28352	47	39	{	{	PUNCT
bracis-28352	47	40	s}\	s}\	PROPN
bracis-28352	47	41	)	)	PUNCT
bracis-28352	47	42	is	be	AUX
bracis-28352	47	43	the	the	DET
bracis-28352	47	44	initial	initial	ADJ
bracis-28352	47	45	state	state	NOUN
bracis-28352	47	46	;	;	PUNCT
bracis-28352	47	47	\(\mathcal	\(\mathcal	ADJ
bracis-28352	47	48	{	{	PUNCT
bracis-28352	47	49	a}\	a}\	NUM
bracis-28352	47	50	)	)	PUNCT
bracis-28352	47	51	is	be	AUX
bracis-28352	47	52	a	a	DET
bracis-28352	47	53	finite	finite	ADJ
bracis-28352	47	54	set	set	NOUN
bracis-28352	47	55	of	of	ADP
bracis-28352	47	56	actions	action	NOUN
bracis-28352	47	57	;	;	PUNCT
bracis-28352	47	58	\(p	\(p	NOUN
bracis-28352	47	59	:	:	PUNCT
bracis-28352	47	60	\mathcal	\mathcal	ADJ
bracis-28352	47	61	{	{	PUNCT
bracis-28352	47	62	s}\times	s}\time	NOUN
bracis-28352	47	63	\mathcal	\mathcal	PROPN
bracis-28352	47	64	{	{	PUNCT
bracis-28352	47	65	a}\times	a}\times	PROPN
bracis-28352	47	66	\mathcal	\mathcal	INTJ
bracis-28352	47	67	{	{	PUNCT
bracis-28352	47	68	s}\rightarrow	s}\rightarrow	NOUN
bracis-28352	47	69	[	[	X
bracis-28352	47	70	0	0	NUM
bracis-28352	47	71	,	,	PUNCT
bracis-28352	47	72	1]\	1]\	NUM
bracis-28352	47	73	)	)	PUNCT
bracis-28352	47	74	is	be	AUX
bracis-28352	47	75	the	the	DET
bracis-28352	47	76	transition	transition	NOUN
bracis-28352	47	77	function	function	NOUN
bracis-28352	47	78	,	,	PUNCT
bracis-28352	48	1	such	such	ADJ
bracis-28352	48	2	that	that	SCONJ
bracis-28352	48	3	\(p(s	\(p(s	PROPN
bracis-28352	48	4	,	,	PUNCT
bracis-28352	48	5	a	a	DET
bracis-28352	48	6	,	,	PUNCT
bracis-28352	48	7	s	s	NOUN
bracis-28352	48	8	'	'	PUNCT
bracis-28352	48	9	)	)	PUNCT
bracis-28352	48	10	=	=	SYM
bracis-28352	48	11	\pr	\pr	NOUN
bracis-28352	48	12	(	(	PUNCT
bracis-28352	48	13	s_{t	s_{t	PROPN
bracis-28352	48	14	+	+	CCONJ
bracis-28352	48	15	1	1	NUM
bracis-28352	48	16	}	}	PUNCT
bracis-28352	48	17	=	=	SYM
bracis-28352	48	18	s	s	NOUN
bracis-28352	48	19	'	'	PUNCT
bracis-28352	48	20	\mid	\mid	NOUN
bracis-28352	48	21	s_t	s_t	PUNCT
bracis-28352	48	22	=	=	SYM
bracis-28352	48	23	s	s	PROPN
bracis-28352	48	24	,	,	PUNCT
bracis-28352	48	25	a_t	a_t	PUNCT
bracis-28352	48	26	=	=	SYM
bracis-28352	48	27	a)\	a)\	NUM
bracis-28352	48	28	)	)	PUNCT
bracis-28352	48	29	;	;	PUNCT
bracis-28352	48	30	\(c	\(c	NUM
bracis-28352	48	31	:	:	PUNCT
bracis-28352	48	32	\mathcal	\mathcal	ADJ
bracis-28352	48	33	{	{	PUNCT
bracis-28352	48	34	s}\times	s}\time	NOUN
bracis-28352	48	35	\mathcal	\mathcal	PROPN
bracis-28352	48	36	{	{	PUNCT
bracis-28352	48	37	a}\rightarrow	a}\rightarrow	PROPN
bracis-28352	48	38	\mathbb	\mathbb	PROPN
bracis-28352	48	39	{	{	PUNCT
bracis-28352	48	40	r}_{\ge	r}_{\ge	PROPN
bracis-28352	48	41	0}\	0}\	NUM
bracis-28352	48	42	)	)	PUNCT
bracis-28352	48	43	is	be	AUX
bracis-28352	48	44	the	the	DET
bracis-28352	48	45	cost	cost	NOUN
bracis-28352	48	46	function	function	NOUN
bracis-28352	48	47	,	,	PUNCT
bracis-28352	48	48	which	which	PRON
bracis-28352	48	49	assigns	assign	VERB
bracis-28352	48	50	a	a	DET
bracis-28352	48	51	cost	cost	NOUN
bracis-28352	48	52	c(s	c(	NOUN
bracis-28352	48	53	,	,	PUNCT
bracis-28352	48	54	 	 	SPACE
bracis-28352	48	55	a	a	X
bracis-28352	48	56	)	)	PUNCT
bracis-28352	48	57	for	for	ADP
bracis-28352	48	58	taking	take	VERB
bracis-28352	48	59	action	action	NOUN
bracis-28352	48	60	a	a	PRON
bracis-28352	48	61	at	at	ADP
bracis-28352	48	62	state	state	NOUN
bracis-28352	48	63	s	s	NOUN
bracis-28352	48	64	;	;	PUNCT
bracis-28352	48	65	\(\mathcal	\(\mathcal	ADJ
bracis-28352	48	66	{	{	PUNCT
bracis-28352	48	67	g}\subset	g}\subset	PROPN
bracis-28352	48	68	\mathcal	\mathcal	PROPN
bracis-28352	48	69	{	{	PUNCT
bracis-28352	48	70	s}\	s}\	PROPN
bracis-28352	48	71	)	)	PUNCT
bracis-28352	48	72	is	be	AUX
bracis-28352	48	73	the	the	DET
bracis-28352	48	74	set	set	NOUN
bracis-28352	48	75	of	of	ADP
bracis-28352	48	76	absorbing	absorb	VERB
bracis-28352	48	77	goal	goal	NOUN
bracis-28352	48	78	states	state	NOUN
bracis-28352	48	79	,	,	PUNCT
bracis-28352	48	80	i.e.	i.e.	X
bracis-28352	48	81	\(c(g	\(c(g	PROPN
bracis-28352	48	82	,	,	PUNCT
bracis-28352	48	83	a	a	PRON
bracis-28352	48	84	)	)	PUNCT
bracis-28352	48	85	=	=	SYM
bracis-28352	48	86	0\	0\	PROPN
bracis-28352	48	87	)	)	PUNCT
bracis-28352	48	88	and	and	CCONJ
bracis-28352	48	89	\(p(g	\(p(g	PROPN
bracis-28352	48	90	,	,	PUNCT
bracis-28352	48	91	a	a	PRON
bracis-28352	48	92	,	,	PUNCT
bracis-28352	48	93	g	g	NOUN
bracis-28352	48	94	)	)	PUNCT
bracis-28352	48	95	=	=	SYM
bracis-28352	49	1	1	1	X
bracis-28352	49	2	,	,	PUNCT
bracis-28352	49	3	\forall	\forall	DET
bracis-28352	49	4	g\in	g\in	ADJ
bracis-28352	49	5	\mathcal	\mathcal	PROPN
bracis-28352	49	6	{	{	PUNCT
bracis-28352	49	7	g}\	g}\	PROPN
bracis-28352	49	8	)	)	PUNCT
bracis-28352	49	9	and	and	CCONJ
bracis-28352	49	10	\(a\in	\(a\in	PUNCT
bracis-28352	49	11	\mathcal	\mathcal	PROPN
bracis-28352	49	12	{	{	PUNCT
bracis-28352	49	13	a}\	a}\	NUM
bracis-28352	49	14	)	)	PUNCT
bracis-28352	49	15	.	.	PUNCT
bracis-28352	50	1	also	also	ADV
bracis-28352	50	2	,	,	PUNCT
bracis-28352	50	3	\(c(s	\(c(s	ADV
bracis-28352	50	4	,	,	PUNCT
bracis-28352	50	5	a	a	PRON
bracis-28352	50	6	)	)	PUNCT
bracis-28352	50	7	>	>	X
bracis-28352	50	8	0\	0\	PROPN
bracis-28352	50	9	)	)	PUNCT
bracis-28352	50	10	for	for	ADP
bracis-28352	50	11	\(s\in	\(s\in	PROPN
bracis-28352	50	12	\mathcal	\mathcal	PROPN
bracis-28352	50	13	{	{	PUNCT
bracis-28352	50	14	s}\setminus	s}\setminus	NOUN
bracis-28352	50	15	\mathcal	\mathcal	PROPN
bracis-28352	50	16	{	{	PUNCT
bracis-28352	50	17	g}\	g}\	PROPN
bracis-28352	50	18	)	)	PUNCT
bracis-28352	50	19	.	.	PUNCT
bracis-28352	51	1	the	the	DET
bracis-28352	51	2	objective	objective	NOUN
bracis-28352	51	3	in	in	ADP
bracis-28352	51	4	an	an	DET
bracis-28352	51	5	ssp	ssp	NOUN
bracis-28352	51	6	is	be	AUX
bracis-28352	51	7	to	to	PART
bracis-28352	51	8	find	find	VERB
bracis-28352	51	9	a	a	DET
bracis-28352	51	10	policy	policy	NOUN
bracis-28352	51	11	\(\pi	\(\pi	ADP
bracis-28352	51	12	\	\	NOUN
bracis-28352	51	13	)	)	PUNCT
bracis-28352	51	14	,	,	PUNCT
bracis-28352	51	15	a	a	DET
bracis-28352	51	16	mapping	mapping	NOUN
bracis-28352	51	17	between	between	ADP
bracis-28352	51	18	states	state	NOUN
bracis-28352	51	19	to	to	ADP
bracis-28352	51	20	actions	action	NOUN
bracis-28352	51	21	,	,	PUNCT
bracis-28352	51	22	that	that	PRON
bracis-28352	51	23	minimizes	minimize	VERB
bracis-28352	51	24	the	the	DET
bracis-28352	51	25	expected	expect	VERB
bracis-28352	51	26	cost	cost	NOUN
bracis-28352	51	27	to	to	AUX
bracis-28352	51	28	goal	goal	VERB
bracis-28352	51	29	\(v^{\pi	\(v^{\pi	NOUN
bracis-28352	51	30	}	}	PUNCT
bracis-28352	51	31	(	(	PUNCT
bracis-28352	51	32	s	s	NOUN
bracis-28352	51	33	)	)	PUNCT
bracis-28352	51	34	=	=	PUNCT
bracis-28352	51	35	\lim	\lim	NOUN
bracis-28352	51	36	_	_	PRON
bracis-28352	51	37	{	{	PUNCT
bracis-28352	51	38	t\rightarrow	t\rightarrow	ADJ
bracis-28352	51	39	\infty	\infty	PROPN
bracis-28352	51	40	}	}	PUNCT
bracis-28352	51	41	\mathbb	\mathbb	PROPN
bracis-28352	51	42	{	{	PUNCT
bracis-28352	51	43	e}\left	e}\left	ADV
bracis-28352	51	44	[	[	X
bracis-28352	51	45	\sum	\sum	NOUN
bracis-28352	51	46	_	_	PUNCT
bracis-28352	51	47	{	{	PUNCT
bracis-28352	51	48	t=0}^{t-1}c_{t}\mid	t=0}^{t-1}c_{t}\mid	PUNCT
bracis-28352	51	49	\pi	\pi	PROPN
bracis-28352	51	50	,	,	PUNCT
bracis-28352	51	51	s_0	s_0	ADJ
bracis-28352	51	52	=	=	SYM
bracis-28352	51	53	s\right	s\right	NOUN
bracis-28352	51	54	]	]	PUNCT
bracis-28352	51	55	\	\	NOUN
bracis-28352	51	56	)	)	PUNCT
bracis-28352	51	57	.	.	PUNCT
bracis-28352	52	1	the	the	DET
bracis-28352	52	2	probability	probability	NOUN
bracis-28352	52	3	-	-	PUNCT
bracis-28352	52	4	to	to	ADP
bracis-28352	52	5	-	-	PUNCT
bracis-28352	52	6	goal	goal	NOUN
bracis-28352	52	7	of	of	ADP
bracis-28352	52	8	a	a	DET
bracis-28352	52	9	policy	policy	NOUN
bracis-28352	52	10	\(\pi	\(\pi	ADP
bracis-28352	52	11	\	\	NOUN
bracis-28352	52	12	)	)	PUNCT
bracis-28352	52	13	from	from	ADP
bracis-28352	52	14	state	state	NOUN
bracis-28352	52	15	\(s\in	\(s\in	X
bracis-28352	52	16	\mathcal	\mathcal	PROPN
bracis-28352	52	17	{	{	PUNCT
bracis-28352	52	18	s}\	s}\	NUM
bracis-28352	52	19	)	)	PUNCT
bracis-28352	52	20	is	be	AUX
bracis-28352	52	21	given	give	VERB
bracis-28352	52	22	by	by	ADP
bracis-28352	52	23	the	the	DET
bracis-28352	52	24	function	function	NOUN
bracis-28352	52	25	\(p^\pi	\(p^\pi	VERB
bracis-28352	52	26	_	_	PUNCT
bracis-28352	52	27	g(s	g(	NOUN
bracis-28352	52	28	)	)	PUNCT
bracis-28352	52	29	=	=	PUNCT
bracis-28352	53	1	\lim	\lim	NOUN
bracis-28352	53	2	_	_	PRON
bracis-28352	53	3	{	{	PUNCT
bracis-28352	53	4	t\rightarrow	t\rightarrow	ADJ
bracis-28352	53	5	\infty	\infty	PROPN
bracis-28352	53	6	}	}	PUNCT
bracis-28352	53	7	\pr	\pr	NOUN
bracis-28352	53	8	(	(	PUNCT
bracis-28352	53	9	s_{t}\in	s_{t}\in	X
bracis-28352	53	10	\mathcal	\mathcal	PROPN
bracis-28352	53	11	{	{	PUNCT
bracis-28352	53	12	g}\mid	g}\mid	NOUN
bracis-28352	53	13	\pi	\pi	VERB
bracis-28352	53	14	,	,	PUNCT
bracis-28352	53	15	s)\	s)\	NOUN
bracis-28352	53	16	)	)	PUNCT
bracis-28352	53	17	.	.	PUNCT
bracis-28352	54	1	we	we	PRON
bracis-28352	54	2	also	also	ADV
bracis-28352	54	3	define	define	VERB
bracis-28352	54	4	the	the	DET
bracis-28352	54	5	maximum	maximum	ADJ
bracis-28352	54	6	probability	probability	NOUN
bracis-28352	54	7	-	-	PUNCT
bracis-28352	54	8	to	to	ADP
bracis-28352	54	9	-	-	PUNCT
bracis-28352	54	10	goal	goal	NOUN
bracis-28352	54	11	of	of	ADP
bracis-28352	54	12	a	a	DET
bracis-28352	54	13	state	state	NOUN
bracis-28352	54	14	s	s	NOUN
bracis-28352	54	15	in	in	ADP
bracis-28352	54	16	an	an	DET
bracis-28352	54	17	ssp	ssp	NOUN
bracis-28352	54	18	as	as	ADP
bracis-28352	54	19	the	the	DET
bracis-28352	54	20	function	function	NOUN
bracis-28352	54	21	\(p_g(s	\(p_g(s	PUNCT
bracis-28352	54	22	)	)	PUNCT
bracis-28352	54	23	=	=	SYM
bracis-28352	55	1	\max	\max	PROPN
bracis-28352	55	2	_	_	PUNCT
bracis-28352	55	3	{	{	PUNCT
bracis-28352	55	4	\pi	\pi	PROPN
bracis-28352	55	5	\in	\in	ADJ
bracis-28352	55	6	\pi	\pi	PROPN
bracis-28352	55	7	}	}	PUNCT
bracis-28352	55	8	p^\pi	p^\pi	NOUN
bracis-28352	55	9	_	_	NOUN
bracis-28352	55	10	g(s)\	g(s)\	X
bracis-28352	55	11	)	)	PUNCT
bracis-28352	55	12	,	,	PUNCT
bracis-28352	55	13	in	in	ADP
bracis-28352	55	14	which	which	PRON
bracis-28352	55	15	\(\pi	\(\pi	ADP
bracis-28352	55	16	\	\	NOUN
bracis-28352	55	17	)	)	PUNCT
bracis-28352	55	18	is	be	AUX
bracis-28352	55	19	the	the	DET
bracis-28352	55	20	set	set	NOUN
bracis-28352	55	21	of	of	ADP
bracis-28352	55	22	all	all	DET
bracis-28352	55	23	policies	policy	NOUN
bracis-28352	55	24	.	.	PUNCT
bracis-28352	56	1	a	a	DET
bracis-28352	56	2	policy	policy	NOUN
bracis-28352	56	3	\(\pi	\(\pi	ADP
bracis-28352	56	4	\	\	NOUN
bracis-28352	56	5	)	)	PUNCT
bracis-28352	56	6	is	be	AUX
bracis-28352	56	7	proper	proper	ADJ
bracis-28352	56	8	if	if	SCONJ
bracis-28352	56	9	the	the	DET
bracis-28352	56	10	probability	probability	NOUN
bracis-28352	56	11	-	-	PUNCT
bracis-28352	56	12	to	to	ADP
bracis-28352	56	13	-	-	PUNCT
bracis-28352	56	14	goal	goal	NOUN
bracis-28352	56	15	when	when	SCONJ
bracis-28352	56	16	following	follow	VERB
bracis-28352	56	17	it	it	PRON
bracis-28352	56	18	is	be	AUX
bracis-28352	56	19	1	1	NUM
bracis-28352	56	20	,	,	PUNCT
bracis-28352	56	21	i.e.	i.e.	X
bracis-28352	56	22	\(p^\pi	\(p^\pi	X
bracis-28352	56	23	_	_	PUNCT
bracis-28352	56	24	g(s_0	g(s_0	ADJ
bracis-28352	56	25	)	)	PUNCT
bracis-28352	56	26	=	=	SYM
bracis-28352	56	27	1\	1\	NUM
bracis-28352	56	28	)	)	PUNCT
bracis-28352	56	29	.	.	PUNCT
bracis-28352	57	1	when	when	SCONJ
bracis-28352	57	2	the	the	DET
bracis-28352	57	3	agent	agent	NOUN
bracis-28352	57	4	acts	act	VERB
bracis-28352	57	5	for	for	ADP
bracis-28352	57	6	multiple	multiple	ADJ
bracis-28352	57	7	steps	step	NOUN
bracis-28352	57	8	\(t	\(t	PROPN
bracis-28352	57	9	\in	\in	PROPN
bracis-28352	57	10	\{0	\{0	NOUN
bracis-28352	57	11	,	,	PUNCT
bracis-28352	57	12	1	1	NUM
bracis-28352	57	13	,	,	PUNCT
bracis-28352	57	14	\dots	\dot	NOUN
bracis-28352	57	15	,	,	PUNCT
bracis-28352	57	16	t\}\	t\}\	NOUN
bracis-28352	57	17	)	)	PUNCT
bracis-28352	57	18	,	,	PUNCT
bracis-28352	57	19	she	she	PRON
bracis-28352	57	20	generates	generate	VERB
bracis-28352	57	21	a	a	DET
bracis-28352	57	22	history	history	NOUN
bracis-28352	57	23	\(h	\(h	NOUN
bracis-28352	57	24	=	=	NOUN
bracis-28352	57	25	\{\langle	\{\langle	NUM
bracis-28352	57	26	s_1	s_1	NOUN
bracis-28352	57	27	,	,	PUNCT
bracis-28352	57	28	a_1	a_1	NOUN
bracis-28352	57	29	,	,	PUNCT
bracis-28352	57	30	c_1\rangle	c_1\rangle	PROPN
bracis-28352	57	31	,	,	PUNCT
bracis-28352	57	32	\langle	\langle	PROPN
bracis-28352	57	33	s_2	s_2	PROPN
bracis-28352	57	34	,	,	PUNCT
bracis-28352	57	35	a_2	a_2	PROPN
bracis-28352	57	36	,	,	PUNCT
bracis-28352	57	37	c_2\rangle	c_2\rangle	PROPN
bracis-28352	57	38	,	,	PUNCT
bracis-28352	57	39	...	...	PUNCT
bracis-28352	57	40	,	,	PUNCT
bracis-28352	57	41	\langle	\langle	PROPN
bracis-28352	57	42	s_{t-1	s_{t-1	PROPN
bracis-28352	57	43	}	}	PUNCT
bracis-28352	57	44	,	,	PUNCT
bracis-28352	57	45	a_{t-1	a_{t-1	PROPN
bracis-28352	57	46	}	}	PUNCT
bracis-28352	57	47	,	,	PUNCT
bracis-28352	57	48	c_{t-1}\rangle	c_{t-1}\rangle	NUM
bracis-28352	57	49	,	,	PUNCT
bracis-28352	57	50	s_t	s_t	X
bracis-28352	57	51	\}\	\}\	NOUN
bracis-28352	57	52	)	)	PUNCT
bracis-28352	57	53	,	,	PUNCT
bracis-28352	57	54	where	where	SCONJ
bracis-28352	57	55	\(s_t\in	\(s_t\in	PRON
bracis-28352	57	56	\mathcal	\mathcal	PROPN
bracis-28352	57	57	{	{	PUNCT
bracis-28352	57	58	s}\	s}\	NUM
bracis-28352	57	59	)	)	PUNCT
bracis-28352	57	60	is	be	AUX
bracis-28352	57	61	the	the	DET
bracis-28352	57	62	state	state	NOUN
bracis-28352	57	63	in	in	ADP
bracis-28352	57	64	which	which	PRON
bracis-28352	57	65	the	the	DET
bracis-28352	57	66	agent	agent	NOUN
bracis-28352	57	67	is	be	AUX
bracis-28352	57	68	at	at	ADP
bracis-28352	57	69	step	step	NOUN
bracis-28352	57	70	t	t	PROPN
bracis-28352	57	71	,	,	PUNCT
bracis-28352	57	72	\(a_t\in	\(a_t\in	X
bracis-28352	57	73	\mathcal	\mathcal	ADJ
bracis-28352	57	74	{	{	PUNCT
bracis-28352	57	75	a}\	a}\	NUM
bracis-28352	57	76	)	)	PUNCT
bracis-28352	57	77	is	be	AUX
bracis-28352	57	78	the	the	DET
bracis-28352	57	79	action	action	NOUN
bracis-28352	57	80	applied	apply	VERB
bracis-28352	57	81	at	at	ADP
bracis-28352	57	82	\(s_t\	\(s_t\	ADJ
bracis-28352	57	83	)	)	PUNCT
bracis-28352	57	84	,	,	PUNCT
bracis-28352	57	85	and	and	CCONJ
bracis-28352	57	86	\(c_t	\(c_t	PROPN
bracis-28352	57	87	=	=	SYM
bracis-28352	57	88	c(s_t	c(s_t	PROPN
bracis-28352	57	89	,	,	PUNCT
bracis-28352	57	90	a_t)\	a_t)\	NOUN
bracis-28352	57	91	)	)	PUNCT
bracis-28352	57	92	.	.	PUNCT
bracis-28352	58	1	we	we	PRON
bracis-28352	58	2	define	define	VERB
bracis-28352	58	3	\(\mathcal	\(\mathcal	ADJ
bracis-28352	58	4	{	{	PUNCT
bracis-28352	58	5	h}=(\mathcal	h}=(\mathcal	ADJ
bracis-28352	58	6	{	{	PUNCT
bracis-28352	58	7	s}\times	s}\time	NOUN
bracis-28352	58	8	\mathcal	\mathcal	PROPN
bracis-28352	58	9	{	{	PUNCT
bracis-28352	58	10	a}\times	a}\time	NOUN
bracis-28352	58	11	\mathbb	\mathbb	PROPN
bracis-28352	58	12	{	{	PUNCT
bracis-28352	58	13	r}_{>0})^{*}\times	r}_{>0})^{*}\time	NOUN
bracis-28352	58	14	\mathcal	\mathcal	PROPN
bracis-28352	58	15	{	{	PUNCT
bracis-28352	58	16	s}\	s}\	NUM
bracis-28352	58	17	)	)	PUNCT
bracis-28352	58	18	as	as	ADP
bracis-28352	58	19	the	the	DET
bracis-28352	58	20	set	set	NOUN
bracis-28352	58	21	of	of	ADP
bracis-28352	58	22	all	all	DET
bracis-28352	58	23	histories	history	NOUN
bracis-28352	58	24	.	.	PUNCT
bracis-28352	59	1	among	among	ADP
bracis-28352	59	2	methods	method	NOUN
bracis-28352	59	3	to	to	PART
bracis-28352	59	4	solve	solve	VERB
bracis-28352	59	5	ssps	ssp	VERB
bracis-28352	59	6	,	,	PUNCT
bracis-28352	59	7	it	it	PRON
bracis-28352	59	8	is	be	AUX
bracis-28352	59	9	possible	possible	ADJ
bracis-28352	59	10	to	to	PART
bracis-28352	59	11	describe	describe	VERB
bracis-28352	59	12	an	an	DET
bracis-28352	59	13	ssp	ssp	NOUN
bracis-28352	59	14	as	as	ADP
bracis-28352	59	15	a	a	DET
bracis-28352	59	16	linear	linear	ADJ
bracis-28352	59	17	program	program	NOUN
bracis-28352	59	18	and	and	CCONJ
bracis-28352	59	19	solve	solve	VERB
bracis-28352	59	20	it	it	PRON
bracis-28352	59	21	by	by	ADP
bracis-28352	59	22	using	use	VERB
bracis-28352	59	23	this	this	DET
bracis-28352	59	24	program	program	NOUN
bracis-28352	59	25	as	as	ADP
bracis-28352	59	26	an	an	DET
bracis-28352	59	27	input	input	NOUN
bracis-28352	59	28	to	to	ADP
bracis-28352	59	29	a	a	DET
bracis-28352	59	30	solver	solver	NOUN
bracis-28352	59	31	[	[	X
bracis-28352	59	32	3	3	NUM
bracis-28352	59	33	]	]	PUNCT
bracis-28352	59	34	.	.	PUNCT
bracis-28352	60	1	in	in	ADP
bracis-28352	60	2	this	this	DET
bracis-28352	60	3	lp	lp	NOUN
bracis-28352	60	4	,	,	PUNCT
bracis-28352	60	5	the	the	DET
bracis-28352	60	6	objective	objective	NOUN
bracis-28352	60	7	is	be	AUX
bracis-28352	60	8	to	to	PART
bracis-28352	60	9	find	find	VERB
bracis-28352	60	10	the	the	DET
bracis-28352	60	11	values	value	NOUN
bracis-28352	60	12	of	of	ADP
bracis-28352	60	13	\(x_{s	\(x_{s	NOUN
bracis-28352	60	14	,	,	PUNCT
bracis-28352	60	15	a}\	a}\	NUM
bracis-28352	60	16	)	)	PUNCT
bracis-28352	60	17	,	,	PUNCT
bracis-28352	60	18	which	which	PRON
bracis-28352	60	19	are	be	AUX
bracis-28352	60	20	variables	variable	NOUN
bracis-28352	60	21	that	that	PRON
bracis-28352	60	22	represent	represent	VERB
bracis-28352	60	23	the	the	DET
bracis-28352	60	24	expected	expect	VERB
bracis-28352	60	25	number	number	NOUN
bracis-28352	60	26	of	of	ADP
bracis-28352	60	27	times	times	PROPN
bracis-28352	60	28	action	action	NOUN
bracis-28352	60	29	\(a\in	\(a\in	X
bracis-28352	60	30	\mathcal	\mathcal	X
bracis-28352	60	31	{	{	PUNCT
bracis-28352	60	32	a}\	a}\	NUM
bracis-28352	60	33	)	)	PUNCT
bracis-28352	60	34	is	be	AUX
bracis-28352	60	35	executed	execute	VERB
bracis-28352	60	36	at	at	ADP
bracis-28352	60	37	state	state	NOUN
bracis-28352	60	38	\(s\in	\(s\in	X
bracis-28352	60	39	\mathcal	\mathcal	PROPN
bracis-28352	60	40	{	{	PUNCT
bracis-28352	60	41	s}\	s}\	NUM
bracis-28352	60	42	)	)	PUNCT
bracis-28352	60	43	.	.	PUNCT
bracis-28352	61	1	this	this	DET
bracis-28352	61	2	linear	linear	PROPN
bracis-28352	61	3	program	program	NOUN
bracis-28352	61	4	is	be	AUX
bracis-28352	61	5	outlined	outline	VERB
bracis-28352	61	6	in	in	ADP
bracis-28352	61	7	lp1	lp1	PROPN
bracis-28352	61	8	.	.	PUNCT
bracis-28352	61	9	in(s	in(s	PUNCT
bracis-28352	61	10	)	)	PUNCT
bracis-28352	62	1	represents	represent	VERB
bracis-28352	62	2	the	the	DET
bracis-28352	62	3	expected	expect	VERB
bracis-28352	62	4	flow	flow	NOUN
bracis-28352	62	5	entering	enter	VERB
bracis-28352	62	6	s	s	NOUN
bracis-28352	62	7	,	,	PUNCT
bracis-28352	62	8	while	while	SCONJ
bracis-28352	62	9	out(s	out(s	PROPN
bracis-28352	62	10	)	)	PUNCT
bracis-28352	63	1	represents	represent	VERB
bracis-28352	63	2	the	the	DET
bracis-28352	63	3	expected	expect	VERB
bracis-28352	63	4	flow	flow	NOUN
bracis-28352	63	5	leaving	leave	VERB
bracis-28352	63	6	s.	s.	PROPN
bracis-28352	63	7	constraint	constraint	PROPN
bracis-28352	63	8	(	(	PUNCT
bracis-28352	63	9	c4	c4	NOUN
bracis-28352	63	10	)	)	PUNCT
bracis-28352	63	11	restricts	restrict	VERB
bracis-28352	63	12	that	that	SCONJ
bracis-28352	63	13	except	except	SCONJ
bracis-28352	63	14	for	for	ADP
bracis-28352	63	15	\(s_0\	\(s_0\	PROPN
bracis-28352	63	16	)	)	PUNCT
bracis-28352	63	17	and	and	CCONJ
bracis-28352	63	18	goal	goal	NOUN
bracis-28352	63	19	states	state	NOUN
bracis-28352	63	20	,	,	PUNCT
bracis-28352	63	21	the	the	DET
bracis-28352	63	22	expected	expect	VERB
bracis-28352	63	23	flow	flow	NOUN
bracis-28352	63	24	entering	enter	VERB
bracis-28352	63	25	a	a	DET
bracis-28352	63	26	state	state	NOUN
bracis-28352	63	27	must	must	AUX
bracis-28352	63	28	be	be	AUX
bracis-28352	63	29	equal	equal	ADJ
bracis-28352	63	30	to	to	ADP
bracis-28352	63	31	the	the	DET
bracis-28352	63	32	expected	expect	VERB
bracis-28352	63	33	flow	flow	NOUN
bracis-28352	63	34	leaving	leave	VERB
bracis-28352	63	35	it	it	PRON
bracis-28352	63	36	.	.	PUNCT
bracis-28352	64	1	(	(	PUNCT
bracis-28352	64	2	c5	c5	PROPN
bracis-28352	64	3	)	)	PUNCT
bracis-28352	64	4	indicates	indicate	VERB
bracis-28352	64	5	that	that	SCONJ
bracis-28352	64	6	the	the	DET
bracis-28352	64	7	expected	expect	VERB
bracis-28352	64	8	flow	flow	NOUN
bracis-28352	64	9	leaving	leave	VERB
bracis-28352	64	10	\(s_0\	\(s_0\	NOUN
bracis-28352	64	11	)	)	PUNCT
bracis-28352	64	12	must	must	AUX
bracis-28352	64	13	be	be	AUX
bracis-28352	64	14	higher	high	ADJ
bracis-28352	64	15	than	than	ADP
bracis-28352	64	16	the	the	DET
bracis-28352	64	17	one	one	NUM
bracis-28352	64	18	entering	enter	VERB
bracis-28352	64	19	\(s_0\	\(s_0\	NOUN
bracis-28352	64	20	)	)	PUNCT
bracis-28352	64	21	by	by	ADP
bracis-28352	64	22	a	a	DET
bracis-28352	64	23	difference	difference	NOUN
bracis-28352	64	24	of	of	ADP
bracis-28352	64	25	1	1	NUM
bracis-28352	64	26	.	.	PUNCT
bracis-28352	65	1	in	in	ADP
bracis-28352	65	2	other	other	ADJ
bracis-28352	65	3	words	word	NOUN
bracis-28352	65	4	,	,	PUNCT
bracis-28352	65	5	in	in	ADP
bracis-28352	65	6	expectation	expectation	NOUN
bracis-28352	65	7	,	,	PUNCT
bracis-28352	65	8	the	the	DET
bracis-28352	65	9	agent	agent	NOUN
bracis-28352	65	10	must	must	AUX
bracis-28352	65	11	leave	leave	VERB
bracis-28352	65	12	the	the	DET
bracis-28352	65	13	initial	initial	ADJ
bracis-28352	65	14	state	state	NOUN
bracis-28352	65	15	one	one	NUM
bracis-28352	65	16	more	more	ADJ
bracis-28352	65	17	time	time	NOUN
bracis-28352	65	18	than	than	SCONJ
bracis-28352	65	19	she	she	PRON
bracis-28352	65	20	enters	enter	VERB
bracis-28352	65	21	it	it	PRON
bracis-28352	65	22	(	(	PUNCT
bracis-28352	65	23	this	this	PRON
bracis-28352	65	24	does	do	AUX
bracis-28352	65	25	not	not	PART
bracis-28352	65	26	consider	consider	VERB
bracis-28352	65	27	the	the	DET
bracis-28352	65	28	first	first	ADJ
bracis-28352	65	29	step	step	NOUN
bracis-28352	65	30	of	of	ADP
bracis-28352	65	31	the	the	DET
bracis-28352	65	32	process	process	NOUN
bracis-28352	65	33	)	)	PUNCT
bracis-28352	65	34	.	.	PUNCT
bracis-28352	66	1	finally	finally	ADV
bracis-28352	66	2	,	,	PUNCT
bracis-28352	66	3	the	the	DET
bracis-28352	66	4	total	total	ADJ
bracis-28352	66	5	expected	expect	VERB
bracis-28352	66	6	flow	flow	NOUN
bracis-28352	66	7	reaching	reach	VERB
bracis-28352	66	8	goal	goal	NOUN
bracis-28352	66	9	states	state	NOUN
bracis-28352	66	10	must	must	AUX
bracis-28352	66	11	equal	equal	VERB
bracis-28352	66	12	1	1	NUM
bracis-28352	66	13	.	.	PUNCT
bracis-28352	67	1	the	the	DET
bracis-28352	67	2	objective	objective	ADJ
bracis-28352	67	3	function	function	NOUN
bracis-28352	67	4	then	then	ADV
bracis-28352	67	5	minimizes	minimize	VERB
bracis-28352	67	6	the	the	DET
bracis-28352	67	7	expected	expected	ADJ
bracis-28352	67	8	total	total	ADJ
bracis-28352	67	9	cost	cost	NOUN
bracis-28352	67	10	of	of	ADP
bracis-28352	67	11	reaching	reach	VERB
bracis-28352	67	12	the	the	DET
bracis-28352	67	13	goal	goal	NOUN
bracis-28352	67	14	given	give	VERB
bracis-28352	67	15	that	that	SCONJ
bracis-28352	67	16	the	the	DET
bracis-28352	67	17	agent	agent	NOUN
bracis-28352	67	18	starts	start	VERB
bracis-28352	67	19	at	at	ADP
bracis-28352	67	20	\(s_0\	\(s_0\	PROPN
bracis-28352	67	21	)	)	PUNCT
bracis-28352	67	22	,	,	PUNCT
bracis-28352	67	23	given	give	VERB
bracis-28352	67	24	the	the	DET
bracis-28352	67	25	constraints	constraint	NOUN
bracis-28352	67	26	specified	specify	VERB
bracis-28352	67	27	.	.	PUNCT
bracis-28352	68	1	because	because	SCONJ
bracis-28352	68	2	the	the	DET
bracis-28352	68	3	optimal	optimal	ADJ
bracis-28352	68	4	policy	policy	NOUN
bracis-28352	68	5	\(\pi	\(\pi	PROPN
bracis-28352	68	6	^*\	^*\	X
bracis-28352	68	7	)	)	PUNCT
bracis-28352	68	8	that	that	PRON
bracis-28352	68	9	can	can	AUX
bracis-28352	68	10	be	be	AUX
bracis-28352	68	11	generated	generate	VERB
bracis-28352	68	12	after	after	ADP
bracis-28352	68	13	solving	solve	VERB
bracis-28352	68	14	lp1	lp1	PROPN
bracis-28352	68	15	is	be	AUX
bracis-28352	68	16	guaranteed	guarantee	VERB
bracis-28352	68	17	to	to	PART
bracis-28352	68	18	be	be	AUX
bracis-28352	68	19	deterministic	deterministic	ADJ
bracis-28352	68	20	,	,	PUNCT
bracis-28352	68	21	it	it	PRON
bracis-28352	68	22	can	can	AUX
bracis-28352	68	23	be	be	AUX
bracis-28352	68	24	defined	define	VERB
bracis-28352	68	25	as	as	ADP
bracis-28352	68	26	\(\pi	\(\pi	PROPN
bracis-28352	68	27	^*(s	^*(s	PUNCT
bracis-28352	68	28	)	)	PUNCT
bracis-28352	68	29	=	=	PUNCT
bracis-28352	69	1	\arg	\arg	ADP
bracis-28352	69	2	\max	\max	PROPN
bracis-28352	69	3	_	_	PUNCT
bracis-28352	69	4	{	{	PUNCT
bracis-28352	69	5	a\in	a\in	PROPN
bracis-28352	69	6	\mathcal	\mathcal	PROPN
bracis-28352	69	7	{	{	PUNCT
bracis-28352	69	8	a	a	NOUN
bracis-28352	69	9	}	}	PUNCT
bracis-28352	69	10	}	}	PUNCT
bracis-28352	69	11	x_{s	x_{s	PROPN
bracis-28352	69	12	,	,	PUNCT
bracis-28352	69	13	a}\	a}\	NUM
bracis-28352	69	14	)	)	PUNCT
bracis-28352	69	15	.	.	PUNCT
bracis-28352	70	1	2.2	2.2	NUM
bracis-28352	70	2	ssps	ssp	VERB
bracis-28352	70	3	with	with	ADP
bracis-28352	70	4	 	 	SPACE
bracis-28352	70	5	dead	dead	ADJ
bracis-28352	70	6	ends	end	NOUN
bracis-28352	70	7	and	and	CCONJ
bracis-28352	70	8	 	 	SPACE
bracis-28352	70	9	alternate	alternate	ADJ
bracis-28352	70	10	criteria	criterion	NOUN
bracis-28352	70	11	when	when	SCONJ
bracis-28352	70	12	the	the	DET
bracis-28352	70	13	policy	policy	NOUN
bracis-28352	70	14	is	be	AUX
bracis-28352	70	15	improper	improper	ADJ
bracis-28352	70	16	,	,	PUNCT
bracis-28352	70	17	\(v^\pi	\(v^\pi	ADJ
bracis-28352	70	18	\	\	NOUN
bracis-28352	70	19	)	)	PUNCT
bracis-28352	70	20	is	be	AUX
bracis-28352	70	21	not	not	PART
bracis-28352	70	22	well	well	ADV
bracis-28352	70	23	-	-	PUNCT
bracis-28352	70	24	defined	define	VERB
bracis-28352	70	25	and	and	CCONJ
bracis-28352	70	26	diverges	diverge	NOUN
bracis-28352	70	27	.	.	PUNCT
bracis-28352	71	1	thus	thus	ADV
bracis-28352	71	2	,	,	PUNCT
bracis-28352	71	3	when	when	SCONJ
bracis-28352	71	4	there	there	PRON
bracis-28352	71	5	does	do	AUX
bracis-28352	71	6	not	not	PART
bracis-28352	71	7	exist	exist	VERB
bracis-28352	71	8	a	a	DET
bracis-28352	71	9	proper	proper	ADJ
bracis-28352	71	10	policy	policy	NOUN
bracis-28352	71	11	,	,	PUNCT
bracis-28352	71	12	the	the	DET
bracis-28352	71	13	standard	standard	ADJ
bracis-28352	71	14	criterion	criterion	NOUN
bracis-28352	71	15	for	for	ADP
bracis-28352	71	16	solving	solving	NOUN
bracis-28352	71	17	ssps	ssps	NOUN
bracis-28352	71	18	is	be	AUX
bracis-28352	71	19	not	not	PART
bracis-28352	71	20	well	well	ADV
bracis-28352	71	21	-	-	PUNCT
bracis-28352	71	22	defined	define	VERB
bracis-28352	71	23	either	either	ADV
bracis-28352	71	24	.	.	PUNCT
bracis-28352	72	1	this	this	PRON
bracis-28352	72	2	happens	happen	VERB
bracis-28352	72	3	when	when	SCONJ
bracis-28352	72	4	dead	dead	ADJ
bracis-28352	72	5	ends	end	VERB
bracis-28352	72	6	,	,	PUNCT
bracis-28352	72	7	states	state	NOUN
bracis-28352	72	8	from	from	ADP
bracis-28352	72	9	which	which	PRON
bracis-28352	72	10	no	no	DET
bracis-28352	72	11	goal	goal	NOUN
bracis-28352	72	12	state	state	NOUN
bracis-28352	72	13	can	can	AUX
bracis-28352	72	14	be	be	AUX
bracis-28352	72	15	reached	reach	VERB
bracis-28352	72	16	,	,	PUNCT
bracis-28352	72	17	are	be	AUX
bracis-28352	72	18	unavoidable	unavoidable	ADJ
bracis-28352	72	19	.	.	PUNCT
bracis-28352	73	1	figure	figure	NOUN
bracis-28352	73	2	 	 	SPACE
bracis-28352	73	3	1	1	NUM
bracis-28352	73	4	contains	contain	VERB
bracis-28352	73	5	an	an	DET
bracis-28352	73	6	example	example	NOUN
bracis-28352	73	7	of	of	ADP
bracis-28352	73	8	an	an	DET
bracis-28352	73	9	ssp	ssp	NOUN
bracis-28352	73	10	with	with	ADP
bracis-28352	73	11	an	an	DET
bracis-28352	73	12	unavoidable	unavoidable	ADJ
bracis-28352	73	13	dead	dead	ADJ
bracis-28352	73	14	end	end	NOUN
bracis-28352	73	15	.	.	PUNCT
bracis-28352	74	1	this	this	DET
bracis-28352	74	2	problem	problem	NOUN
bracis-28352	74	3	has	have	VERB
bracis-28352	74	4	a	a	DET
bracis-28352	74	5	state	state	NOUN
bracis-28352	74	6	\(s_0\	\(s_0\	NOUN
bracis-28352	74	7	)	)	PUNCT
bracis-28352	74	8	,	,	PUNCT
bracis-28352	74	9	an	an	DET
bracis-28352	74	10	unavoidable	unavoidable	ADJ
bracis-28352	74	11	dead	dead	ADJ
bracis-28352	74	12	-	-	PUNCT
bracis-28352	74	13	end	end	NOUN
bracis-28352	74	14	state	state	NOUN
bracis-28352	74	15	\(s_{de}\	\(s_{de}\	NOUN
bracis-28352	74	16	)	)	PUNCT
bracis-28352	74	17	and	and	CCONJ
bracis-28352	74	18	a	a	DET
bracis-28352	74	19	goal	goal	NOUN
bracis-28352	74	20	state	state	NOUN
bracis-28352	74	21	\(s_g\	\(s_g\	ADP
bracis-28352	74	22	)	)	PUNCT
bracis-28352	74	23	.	.	PUNCT
bracis-28352	75	1	at	at	ADP
bracis-28352	75	2	the	the	DET
bracis-28352	75	3	state	state	NOUN
bracis-28352	75	4	\(s_0\	\(s_0\	PROPN
bracis-28352	75	5	)	)	PUNCT
bracis-28352	75	6	,	,	PUNCT
bracis-28352	75	7	action	action	NOUN
bracis-28352	75	8	a	a	PRON
bracis-28352	75	9	leads	lead	VERB
bracis-28352	75	10	to	to	ADP
bracis-28352	75	11	\(s_g\	\(s_g\	NOUN
bracis-28352	75	12	)	)	PUNCT
bracis-28352	75	13	deterministically	deterministically	ADV
bracis-28352	75	14	with	with	ADP
bracis-28352	75	15	cost	cost	NOUN
bracis-28352	75	16	\(c_a\	\(c_a\	NOUN
bracis-28352	75	17	)	)	PUNCT
bracis-28352	75	18	.	.	PUNCT
bracis-28352	76	1	action	action	NOUN
bracis-28352	76	2	b	b	PROPN
bracis-28352	76	3	has	have	AUX
bracis-28352	76	4	cost	cost	VERB
bracis-28352	76	5	\(c_b\	\(c_b\	NOUN
bracis-28352	76	6	)	)	PUNCT
bracis-28352	76	7	and	and	CCONJ
bracis-28352	76	8	leads	lead	VERB
bracis-28352	76	9	to	to	ADP
bracis-28352	76	10	\(s_g\	\(s_g\	ADP
bracis-28352	76	11	)	)	PUNCT
bracis-28352	76	12	with	with	ADP
bracis-28352	76	13	probability	probability	NOUN
bracis-28352	76	14	p	p	X
bracis-28352	76	15	,	,	PUNCT
bracis-28352	76	16	and	and	CCONJ
bracis-28352	76	17	to	to	ADP
bracis-28352	76	18	\(s_{de}\	\(s_{de}\	ADV
bracis-28352	76	19	)	)	PUNCT
bracis-28352	76	20	with	with	ADP
bracis-28352	76	21	probability	probability	NOUN
bracis-28352	76	22	\(1	\(1	PROPN
bracis-28352	76	23	p\	p\	NOUN
bracis-28352	76	24	)	)	PUNCT
bracis-28352	76	25	.	.	PUNCT
bracis-28352	77	1	fig	fig	NOUN
bracis-28352	77	2	.	.	PUNCT
bracis-28352	78	1	1	1	NUM
bracis-28352	78	2	.	.	X
bracis-28352	78	3	example	example	NOUN
bracis-28352	78	4	of	of	ADP
bracis-28352	78	5	an	an	DET
bracis-28352	78	6	ssp	ssp	NOUN
bracis-28352	78	7	with	with	ADP
bracis-28352	78	8	an	an	DET
bracis-28352	78	9	unavoidable	unavoidable	ADJ
bracis-28352	78	10	dead	dead	ADJ
bracis-28352	78	11	-	-	PUNCT
bracis-28352	78	12	end	end	NOUN
bracis-28352	78	13	.	.	PUNCT
bracis-28352	79	1	full	full	ADJ
bracis-28352	79	2	size	size	NOUN
bracis-28352	79	3	image	image	NOUN
bracis-28352	79	4	for	for	ADP
bracis-28352	79	5	ssps	ssps	NOUN
bracis-28352	79	6	with	with	ADP
bracis-28352	79	7	unavoidable	unavoidable	ADJ
bracis-28352	79	8	dead	dead	ADJ
bracis-28352	79	9	ends	end	NOUN
bracis-28352	79	10	,	,	PUNCT
bracis-28352	79	11	different	different	ADJ
bracis-28352	79	12	criteria	criterion	NOUN
bracis-28352	79	13	have	have	VERB
bracis-28352	79	14	to	to	PART
bracis-28352	79	15	be	be	AUX
bracis-28352	79	16	used	use	VERB
bracis-28352	79	17	to	to	PART
bracis-28352	79	18	solve	solve	VERB
bracis-28352	79	19	these	these	DET
bracis-28352	79	20	problems	problem	NOUN
bracis-28352	79	21	.	.	PUNCT
bracis-28352	80	1	one	one	PRON
bracis-28352	80	2	can	can	AUX
bracis-28352	80	3	maximize	maximize	VERB
bracis-28352	80	4	probability	probability	NOUN
bracis-28352	80	5	without	without	ADP
bracis-28352	80	6	optimizing	optimize	VERB
bracis-28352	80	7	cost	cost	NOUN
bracis-28352	80	8	,	,	PUNCT
bracis-28352	80	9	which	which	PRON
bracis-28352	80	10	is	be	AUX
bracis-28352	80	11	the	the	DET
bracis-28352	80	12	case	case	NOUN
bracis-28352	80	13	of	of	ADP
bracis-28352	80	14	the	the	DET
bracis-28352	80	15	maxprob	maxprob	ADJ
bracis-28352	80	16	criterion	criterion	NOUN
bracis-28352	80	17	[	[	X
bracis-28352	80	18	7	7	NUM
bracis-28352	80	19	]	]	PUNCT
bracis-28352	80	20	.	.	PUNCT
bracis-28352	81	1	instead	instead	ADV
bracis-28352	81	2	of	of	ADP
bracis-28352	81	3	just	just	ADV
bracis-28352	81	4	maximizing	maximize	VERB
bracis-28352	81	5	probability	probability	NOUN
bracis-28352	81	6	,	,	PUNCT
bracis-28352	81	7	several	several	ADJ
bracis-28352	81	8	criteria	criterion	NOUN
bracis-28352	81	9	take	take	VERB
bracis-28352	81	10	the	the	DET
bracis-28352	81	11	dual	dual	ADJ
bracis-28352	81	12	approach	approach	NOUN
bracis-28352	81	13	of	of	ADP
bracis-28352	81	14	minimizing	minimize	VERB
bracis-28352	81	15	a	a	DET
bracis-28352	81	16	well	well	ADV
bracis-28352	81	17	-	-	PUNCT
bracis-28352	81	18	defined	define	VERB
bracis-28352	81	19	cost	cost	NOUN
bracis-28352	81	20	measure	measure	NOUN
bracis-28352	81	21	in	in	ADP
bracis-28352	81	22	the	the	DET
bracis-28352	81	23	case	case	NOUN
bracis-28352	81	24	of	of	ADP
bracis-28352	81	25	unavoidable	unavoidable	ADJ
bracis-28352	81	26	dead	dead	ADJ
bracis-28352	81	27	ends	end	NOUN
bracis-28352	81	28	,	,	PUNCT
bracis-28352	81	29	but	but	CCONJ
bracis-28352	81	30	only	only	ADV
bracis-28352	81	31	considering	consider	VERB
bracis-28352	81	32	policies	policy	NOUN
bracis-28352	81	33	that	that	PRON
bracis-28352	81	34	maximize	maximize	VERB
bracis-28352	81	35	probability	probability	NOUN
bracis-28352	81	36	-	-	PUNCT
bracis-28352	81	37	to	to	ADP
bracis-28352	81	38	-	-	PUNCT
bracis-28352	81	39	goal	goal	NOUN
bracis-28352	81	40	.	.	PUNCT
bracis-28352	82	1	throughout	throughout	ADP
bracis-28352	82	2	this	this	DET
bracis-28352	82	3	work	work	NOUN
bracis-28352	82	4	,	,	PUNCT
bracis-28352	82	5	we	we	PRON
bracis-28352	82	6	will	will	AUX
bracis-28352	82	7	refer	refer	VERB
bracis-28352	82	8	to	to	ADP
bracis-28352	82	9	this	this	DET
bracis-28352	82	10	class	class	NOUN
bracis-28352	82	11	of	of	ADP
bracis-28352	82	12	criteria	criterion	NOUN
bracis-28352	82	13	as	as	ADP
bracis-28352	82	14	lexicographic	lexicographic	ADJ
bracis-28352	82	15	.	.	PUNCT
bracis-28352	83	1	s3p	s3p	PUNCT
bracis-28352	84	1	[	[	X
bracis-28352	84	2	14	14	NUM
bracis-28352	84	3	]	]	PUNCT
bracis-28352	84	4	and	and	CCONJ
bracis-28352	84	5	mcmp	mcmp	PROPN
bracis-28352	84	6	[	[	X
bracis-28352	84	7	16	16	NUM
bracis-28352	84	8	]	]	PUNCT
bracis-28352	84	9	are	be	AUX
bracis-28352	84	10	examples	example	NOUN
bracis-28352	84	11	of	of	ADP
bracis-28352	84	12	such	such	ADJ
bracis-28352	84	13	criteria	criterion	NOUN
bracis-28352	84	14	.	.	PUNCT
bracis-28352	85	1	when	when	SCONJ
bracis-28352	85	2	considering	consider	VERB
bracis-28352	85	3	the	the	DET
bracis-28352	85	4	example	example	NOUN
bracis-28352	85	5	outlined	outline	VERB
bracis-28352	85	6	in	in	ADP
bracis-28352	85	7	fig	fig	NOUN
bracis-28352	85	8	.	.	PUNCT
bracis-28352	85	9	 	 	SPACE
bracis-28352	85	10	1	1	NUM
bracis-28352	85	11	,	,	PUNCT
bracis-28352	85	12	lexicographic	lexicographic	ADJ
bracis-28352	85	13	criteria	criterion	NOUN
bracis-28352	85	14	would	would	AUX
bracis-28352	85	15	choose	choose	VERB
bracis-28352	85	16	a	a	PRON
bracis-28352	85	17	as	as	ADP
bracis-28352	85	18	the	the	DET
bracis-28352	85	19	optimal	optimal	ADJ
bracis-28352	85	20	action	action	NOUN
bracis-28352	85	21	at	at	ADP
bracis-28352	85	22	\(s_0\	\(s_0\	PROPN
bracis-28352	85	23	)	)	PUNCT
bracis-28352	85	24	,	,	PUNCT
bracis-28352	85	25	because	because	SCONJ
bracis-28352	85	26	it	it	PRON
bracis-28352	85	27	maximizes	maximize	VERB
bracis-28352	85	28	probability	probability	NOUN
bracis-28352	85	29	-	-	PUNCT
bracis-28352	85	30	to	to	ADP
bracis-28352	85	31	-	-	PUNCT
bracis-28352	85	32	goal	goal	NOUN
bracis-28352	85	33	.	.	PUNCT
bracis-28352	86	1	other	other	ADJ
bracis-28352	86	2	criteria	criterion	NOUN
bracis-28352	86	3	can	can	AUX
bracis-28352	86	4	make	make	VERB
bracis-28352	86	5	trade	trade	NOUN
bracis-28352	86	6	-	-	PUNCT
bracis-28352	86	7	offs	off	NOUN
bracis-28352	86	8	between	between	ADP
bracis-28352	86	9	probability	probability	NOUN
bracis-28352	86	10	-	-	PUNCT
bracis-28352	86	11	to	to	ADP
bracis-28352	86	12	-	-	PUNCT
bracis-28352	86	13	goal	goal	NOUN
bracis-28352	86	14	and	and	CCONJ
bracis-28352	86	15	some	some	DET
bracis-28352	86	16	cost	cost	NOUN
bracis-28352	86	17	measures	measure	NOUN
bracis-28352	86	18	.	.	PUNCT
bracis-28352	87	1	fsspudes	fsspude	NOUN
bracis-28352	87	2	[	[	X
bracis-28352	87	3	6	6	NUM
bracis-28352	87	4	]	]	PUNCT
bracis-28352	87	5	,	,	PUNCT
bracis-28352	87	6	for	for	ADP
bracis-28352	87	7	example	example	NOUN
bracis-28352	87	8	,	,	PUNCT
bracis-28352	87	9	use	use	VERB
bracis-28352	87	10	a	a	DET
bracis-28352	87	11	finite	finite	ADJ
bracis-28352	87	12	penalty	penalty	NOUN
bracis-28352	87	13	to	to	PART
bracis-28352	87	14	pay	pay	VERB
bracis-28352	87	15	when	when	SCONJ
bracis-28352	87	16	a	a	DET
bracis-28352	87	17	dead	dead	ADJ
bracis-28352	87	18	end	end	NOUN
bracis-28352	87	19	is	be	AUX
bracis-28352	87	20	reached	reach	VERB
bracis-28352	87	21	.	.	PUNCT
bracis-28352	88	1	a	a	DET
bracis-28352	88	2	discount	discount	NOUN
bracis-28352	88	3	factor	factor	NOUN
bracis-28352	88	4	[	[	X
bracis-28352	88	5	15	15	NUM
bracis-28352	88	6	]	]	PUNCT
bracis-28352	88	7	can	can	AUX
bracis-28352	88	8	also	also	ADV
bracis-28352	88	9	be	be	AUX
bracis-28352	88	10	used	use	VERB
bracis-28352	88	11	for	for	ADP
bracis-28352	88	12	this	this	DET
bracis-28352	88	13	objective	objective	NOUN
bracis-28352	88	14	.	.	PUNCT
bracis-28352	89	1	additionally	additionally	ADV
bracis-28352	89	2	,	,	PUNCT
bracis-28352	89	3	the	the	DET
bracis-28352	89	4	gubs	gubs	ADJ
bracis-28352	89	5	criterion	criterion	NOUN
bracis-28352	89	6	[	[	X
bracis-28352	89	7	4	4	X
bracis-28352	89	8	]	]	PUNCT
bracis-28352	89	9	has	have	VERB
bracis-28352	89	10	parameters	parameter	NOUN
bracis-28352	89	11	that	that	PRON
bracis-28352	89	12	combine	combine	AUX
bracis-28352	89	13	expected	expect	VERB
bracis-28352	89	14	utility	utility	NOUN
bracis-28352	89	15	theory	theory	NOUN
bracis-28352	89	16	with	with	ADP
bracis-28352	89	17	goal	goal	NOUN
bracis-28352	89	18	prioritization	prioritization	NOUN
bracis-28352	89	19	to	to	PART
bracis-28352	89	20	make	make	VERB
bracis-28352	89	21	such	such	ADJ
bracis-28352	89	22	trade	trade	NOUN
bracis-28352	89	23	-	-	PUNCT
bracis-28352	89	24	offs	off	NOUN
bracis-28352	89	25	.	.	PUNCT
bracis-28352	90	1	in	in	ADP
bracis-28352	90	2	the	the	DET
bracis-28352	90	3	example	example	NOUN
bracis-28352	90	4	in	in	ADP
bracis-28352	90	5	fig	fig	NOUN
bracis-28352	90	6	.	.	PUNCT
bracis-28352	90	7	 	 	SPACE
bracis-28352	90	8	1	1	NUM
bracis-28352	90	9	,	,	PUNCT
bracis-28352	90	10	these	these	DET
bracis-28352	90	11	criteria	criterion	NOUN
bracis-28352	90	12	could	could	AUX
bracis-28352	90	13	either	either	CCONJ
bracis-28352	90	14	choose	choose	VERB
bracis-28352	90	15	between	between	ADP
bracis-28352	90	16	actions	action	NOUN
bracis-28352	90	17	a	a	PRON
bracis-28352	90	18	or	or	CCONJ
bracis-28352	90	19	b	b	NOUN
bracis-28352	90	20	,	,	PUNCT
bracis-28352	90	21	depending	depend	VERB
bracis-28352	90	22	on	on	ADP
bracis-28352	90	23	which	which	PRON
bracis-28352	90	24	values	value	NOUN
bracis-28352	90	25	for	for	ADP
bracis-28352	90	26	their	their	PRON
bracis-28352	90	27	parameters	parameter	NOUN
bracis-28352	90	28	are	be	AUX
bracis-28352	90	29	selected	select	VERB
bracis-28352	90	30	.	.	PUNCT
bracis-28352	91	1	sections	section	NOUN
bracis-28352	91	2	 	 	SPACE
bracis-28352	91	3	2.4	2.4	NUM
bracis-28352	91	4	and	and	CCONJ
bracis-28352	91	5	2.5	2.5	NUM
bracis-28352	91	6	will	will	AUX
bracis-28352	91	7	detail	detail	VERB
bracis-28352	91	8	the	the	DET
bracis-28352	91	9	mcmp	mcmp	NOUN
bracis-28352	91	10	and	and	CCONJ
bracis-28352	91	11	gubs	gubs	ADJ
bracis-28352	91	12	criteria	criterion	NOUN
bracis-28352	91	13	,	,	PUNCT
bracis-28352	91	14	respectively	respectively	ADV
bracis-28352	91	15	.	.	PUNCT
bracis-28352	92	1	before	before	ADP
bracis-28352	92	2	that	that	PRON
bracis-28352	92	3	,	,	PUNCT
bracis-28352	92	4	the	the	DET
bracis-28352	92	5	next	next	ADJ
bracis-28352	92	6	subsection	subsection	NOUN
bracis-28352	92	7	will	will	AUX
bracis-28352	92	8	formally	formally	ADV
bracis-28352	92	9	define	define	VERB
bracis-28352	92	10	the	the	DET
bracis-28352	92	11	\(\alpha	\(\alpha	NOUN
bracis-28352	92	12	\)-strong	\)-strong	ADP
bracis-28352	92	13	probability	probability	NOUN
bracis-28352	92	14	-	-	PUNCT
bracis-28352	92	15	to	to	ADP
bracis-28352	92	16	-	-	PUNCT
bracis-28352	92	17	goal	goal	NOUN
bracis-28352	92	18	priority	priority	NOUN
bracis-28352	92	19	property	property	NOUN
bracis-28352	92	20	.	.	PUNCT
bracis-28352	93	1	2.3	2.3	NUM
bracis-28352	93	2	making	make	VERB
bracis-28352	93	3	trade	trade	NOUN
bracis-28352	93	4	-	-	PUNCT
bracis-28352	93	5	offs	off	NOUN
bracis-28352	93	6	between	between	ADP
bracis-28352	93	7	probability	probability	NOUN
bracis-28352	93	8	-	-	PUNCT
bracis-28352	93	9	to	to	ADP
bracis-28352	93	10	-	-	PUNCT
bracis-28352	93	11	goal	goal	NOUN
bracis-28352	93	12	and	and	CCONJ
bracis-28352	93	13	 	 	SPACE
bracis-28352	93	14	cost	cost	NOUN
bracis-28352	93	15	measures	measure	NOUN
bracis-28352	93	16	when	when	SCONJ
bracis-28352	93	17	analyzing	analyze	VERB
bracis-28352	93	18	different	different	ADJ
bracis-28352	93	19	criteria	criterion	NOUN
bracis-28352	93	20	for	for	ADP
bracis-28352	93	21	solving	solve	VERB
bracis-28352	93	22	ssps	ssp	VERB
bracis-28352	93	23	with	with	ADP
bracis-28352	93	24	unavoidable	unavoidable	ADJ
bracis-28352	93	25	dead	dead	ADJ
bracis-28352	93	26	-	-	PUNCT
bracis-28352	93	27	ends	end	NOUN
bracis-28352	93	28	,	,	PUNCT
bracis-28352	93	29	we	we	PRON
bracis-28352	93	30	might	might	AUX
bracis-28352	93	31	ask	ask	VERB
bracis-28352	93	32	how	how	SCONJ
bracis-28352	93	33	to	to	PART
bracis-28352	93	34	evaluate	evaluate	VERB
bracis-28352	93	35	the	the	DET
bracis-28352	93	36	decisions	decision	NOUN
bracis-28352	93	37	made	make	VERB
bracis-28352	93	38	by	by	ADP
bracis-28352	93	39	these	these	DET
bracis-28352	93	40	criteria	criterion	NOUN
bracis-28352	93	41	.	.	PUNCT
bracis-28352	94	1	one	one	NUM
bracis-28352	94	2	method	method	NOUN
bracis-28352	94	3	for	for	ADP
bracis-28352	94	4	doing	do	VERB
bracis-28352	94	5	so	so	ADV
bracis-28352	94	6	is	be	AUX
bracis-28352	94	7	to	to	PART
bracis-28352	94	8	take	take	VERB
bracis-28352	94	9	into	into	ADP
bracis-28352	94	10	account	account	NOUN
bracis-28352	94	11	how	how	SCONJ
bracis-28352	94	12	each	each	DET
bracis-28352	94	13	criterion	criterion	NOUN
bracis-28352	94	14	maintains	maintain	VERB
bracis-28352	94	15	the	the	DET
bracis-28352	94	16	\(\alpha	\(\alpha	NOUN
bracis-28352	94	17	\)-strong	\)-strong	ADP
bracis-28352	94	18	probability	probability	NOUN
bracis-28352	94	19	-	-	PUNCT
bracis-28352	94	20	to	to	ADP
bracis-28352	94	21	-	-	PUNCT
bracis-28352	94	22	goal	goal	NOUN
bracis-28352	94	23	priority	priority	NOUN
bracis-28352	94	24	property	property	NOUN
bracis-28352	94	25	[	[	X
bracis-28352	94	26	2	2	NUM
bracis-28352	94	27	]	]	PUNCT
bracis-28352	94	28	.	.	PUNCT
bracis-28352	95	1	the	the	DET
bracis-28352	95	2	definition	definition	NOUN
bracis-28352	95	3	for	for	ADP
bracis-28352	95	4	this	this	DET
bracis-28352	95	5	property	property	NOUN
bracis-28352	95	6	is	be	AUX
bracis-28352	95	7	given	give	VERB
bracis-28352	95	8	as	as	SCONJ
bracis-28352	95	9	follows	follow	VERB
bracis-28352	95	10	:	:	PUNCT
bracis-28352	95	11	definition	definition	NOUN
bracis-28352	95	12	2	2	NUM
bracis-28352	95	13	(	(	PUNCT
bracis-28352	95	14	\(\alpha	\(\alpha	NOUN
bracis-28352	95	15	\	\	NOUN
bracis-28352	95	16	)	)	PUNCT
bracis-28352	96	1	-strong	-strong	ADJ
bracis-28352	96	2	probability	probability	NOUN
bracis-28352	96	3	-	-	PUNCT
bracis-28352	96	4	to	to	ADP
bracis-28352	96	5	-	-	PUNCT
bracis-28352	96	6	goal	goal	NOUN
bracis-28352	96	7	priority	priority	NOUN
bracis-28352	96	8	[	[	X
bracis-28352	96	9	2	2	NUM
bracis-28352	96	10	]	]	PUNCT
bracis-28352	96	11	)	)	PUNCT
bracis-28352	96	12	.	.	PUNCT
bracis-28352	97	1	consider	consider	VERB
bracis-28352	97	2	\	\	NOUN
bracis-28352	97	3	(	(	PUNCT
bracis-28352	97	4	0	0	NUM
bracis-28352	97	5	\le	\le	PROPN
bracis-28352	97	6	\alpha	\alpha	PROPN
bracis-28352	97	7	\le	\le	PROPN
bracis-28352	97	8	1\	1\	NUM
bracis-28352	97	9	)	)	PUNCT
bracis-28352	97	10	,	,	PUNCT
bracis-28352	97	11	we	we	PRON
bracis-28352	97	12	say	say	VERB
bracis-28352	97	13	that	that	SCONJ
bracis-28352	97	14	a	a	DET
bracis-28352	97	15	decision	decision	NOUN
bracis-28352	97	16	criterion	criterion	NOUN
bracis-28352	97	17	has	have	VERB
bracis-28352	97	18	\(\alpha	\(\alpha	NOUN
bracis-28352	97	19	\)-strong	\)-strong	ADP
bracis-28352	97	20	probability	probability	NOUN
bracis-28352	97	21	-	-	PUNCT
bracis-28352	97	22	to	to	ADP
bracis-28352	97	23	-	-	PUNCT
bracis-28352	97	24	goal	goal	NOUN
bracis-28352	97	25	priority	priority	NOUN
bracis-28352	97	26	if	if	SCONJ
bracis-28352	97	27	for	for	SCONJ
bracis-28352	97	28	all	all	PRON
bracis-28352	97	29	ssps	ssps	VERB
bracis-28352	97	30	\(\mathcal	\(\mathcal	ADJ
bracis-28352	97	31	{	{	PUNCT
bracis-28352	97	32	m}\	m}\	PROPN
bracis-28352	97	33	)	)	PUNCT
bracis-28352	97	34	and	and	CCONJ
bracis-28352	97	35	all	all	DET
bracis-28352	97	36	pairs	pair	NOUN
bracis-28352	97	37	of	of	ADP
bracis-28352	97	38	policies	policy	NOUN
bracis-28352	97	39	\(\pi	\(\pi	PROPN
bracis-28352	97	40	,	,	PUNCT
bracis-28352	97	41	\pi	\pi	ADJ
bracis-28352	97	42	'	'	PUNCT
bracis-28352	97	43	\in	\in	ADJ
bracis-28352	97	44	\pi	\pi	NOUN
bracis-28352	97	45	\	\	NOUN
bracis-28352	97	46	)	)	PUNCT
bracis-28352	97	47	,	,	PUNCT
bracis-28352	97	48	the	the	DET
bracis-28352	97	49	following	follow	VERB
bracis-28352	97	50	condition	condition	NOUN
bracis-28352	97	51	is	be	AUX
bracis-28352	97	52	true	true	ADJ
bracis-28352	97	53	:	:	PUNCT
bracis-28352	97	54	$	$	SYM
bracis-28352	97	55	$	$	SYM
bracis-28352	97	56	\pi	\pi	VERB
bracis-28352	97	57	\succeq	\succeq	ADJ
bracis-28352	97	58	\pi	\pi	NOUN
bracis-28352	97	59	'	'	PART
bracis-28352	97	60	\implies	\implies	PROPN
bracis-28352	97	61	\frac{p_g^{\pi	\frac{p_g^{\pi	PROPN
bracis-28352	97	62	}	}	PUNCT
bracis-28352	97	63	(	(	PUNCT
bracis-28352	97	64	s_{0})}{p_g^{\pi	s_{0})}{p_g^{\pi	PROPN
bracis-28352	97	65	'	'	NUM
bracis-28352	97	66	}	}	PUNCT
bracis-28352	97	67	(	(	PUNCT
bracis-28352	97	68	s_{0	s_{0	PROPN
bracis-28352	97	69	}	}	PUNCT
bracis-28352	97	70	)	)	PUNCT
bracis-28352	97	71	}	}	PUNCT
bracis-28352	98	1	\ge	\ge	PROPN
bracis-28352	98	2	\alpha	\alpha	ADV
bracis-28352	98	3	,	,	PUNCT
bracis-28352	98	4	$	$	SYM
bracis-28352	98	5	$	$	NUM
bracis-28352	98	6	where	where	SCONJ
bracis-28352	98	7	\(p_g^{\pi	\(p_g^{\pi	NOUN
bracis-28352	98	8	'	'	PUNCT
bracis-28352	98	9	}	}	PUNCT
bracis-28352	98	10	(	(	PUNCT
bracis-28352	98	11	s_{0	s_{0	PROPN
bracis-28352	98	12	}	}	PUNCT
bracis-28352	98	13	)	)	PUNCT
bracis-28352	98	14	>	>	X
bracis-28352	98	15	0\	0\	PROPN
bracis-28352	98	16	)	)	PUNCT
bracis-28352	98	17	.	.	PUNCT
bracis-28352	99	1	if	if	SCONJ
bracis-28352	99	2	\(\pi	\(\pi	PROPN
bracis-28352	99	3	^*\	^*\	X
bracis-28352	99	4	)	)	PUNCT
bracis-28352	99	5	is	be	AUX
bracis-28352	99	6	an	an	DET
bracis-28352	99	7	optimal	optimal	ADJ
bracis-28352	99	8	policy	policy	NOUN
bracis-28352	99	9	then	then	ADV
bracis-28352	99	10	for	for	ADP
bracis-28352	99	11	all	all	PRON
bracis-28352	99	12	\(\pi	\(\pi	ADP
bracis-28352	99	13	'	'	PUNCT
bracis-28352	99	14	\in	\in	PROPN
bracis-28352	99	15	\pi	\pi	NOUN
bracis-28352	99	16	\	\	NOUN
bracis-28352	99	17	)	)	PUNCT
bracis-28352	99	18	the	the	DET
bracis-28352	99	19	following	follow	VERB
bracis-28352	99	20	equation	equation	NOUN
bracis-28352	99	21	holds	hold	VERB
bracis-28352	99	22	:	:	PUNCT
bracis-28352	100	1	$	$	SYM
bracis-28352	100	2	$	$	SYM
bracis-28352	100	3	\pi	\pi	NOUN
bracis-28352	100	4	^	^	PUNCT
bracis-28352	100	5	*	*	PROPN
bracis-28352	100	6	\succeq	\succeq	PROPN
bracis-28352	100	7	\pi	\pi	PROPN
bracis-28352	100	8	'	'	PUNCT
bracis-28352	100	9	\implies	\implies	PROPN
bracis-28352	100	10	\frac	\frac	PROPN
bracis-28352	100	11	{	{	PUNCT
bracis-28352	100	12	p_g^{\pi	p_g^{\pi	PROPN
bracis-28352	100	13	^*}(s_{0	^*}(s_{0	PUNCT
bracis-28352	100	14	}	}	PUNCT
bracis-28352	100	15	)	)	PUNCT
bracis-28352	100	16	}	}	PUNCT
bracis-28352	100	17	{	{	PUNCT
bracis-28352	100	18	p_g^{\pi	p_g^{\pi	PROPN
bracis-28352	100	19	'	'	PUNCT
bracis-28352	100	20	}	}	PUNCT
bracis-28352	100	21	(	(	PUNCT
bracis-28352	100	22	s_{0	s_{0	PROPN
bracis-28352	100	23	}	}	PUNCT
bracis-28352	100	24	)	)	PUNCT
bracis-28352	100	25	}	}	PUNCT
bracis-28352	100	26	\ge	\ge	PROPN
bracis-28352	100	27	\alpha	\alpha	ADJ
bracis-28352	100	28	.	.	PUNCT
bracis-28352	101	1	$	$	SYM
bracis-28352	101	2	$	$	SYM
bracis-28352	101	3	note	note	VERB
bracis-28352	101	4	that	that	SCONJ
bracis-28352	101	5	\(\frac{p_g^{\pi	\(\frac{p_g^{\pi	NOUN
bracis-28352	101	6	}	}	PUNCT
bracis-28352	101	7	(	(	PUNCT
bracis-28352	101	8	s_{0})}{p_g^{\pi	s_{0})}{p_g^{\pi	PROPN
bracis-28352	101	9	'	'	NUM
bracis-28352	101	10	}	}	PUNCT
bracis-28352	101	11	(	(	PUNCT
bracis-28352	101	12	s_{0	s_{0	PROPN
bracis-28352	101	13	}	}	PUNCT
bracis-28352	101	14	)	)	PUNCT
bracis-28352	101	15	}	}	PUNCT
bracis-28352	101	16	\ge	\ge	VERB
bracis-28352	101	17	\alpha	\alpha	ADJ
bracis-28352	101	18	\	\	NOUN
bracis-28352	101	19	)	)	PUNCT
bracis-28352	101	20	is	be	AUX
bracis-28352	101	21	a	a	DET
bracis-28352	101	22	necessary	necessary	ADJ
bracis-28352	101	23	condition	condition	NOUN
bracis-28352	101	24	for	for	ADP
bracis-28352	101	25	\(\pi	\(\pi	ADP
bracis-28352	101	26	\succeq	\succeq	DET
bracis-28352	101	27	\pi	\pi	PROPN
bracis-28352	101	28	'	'	PUNCT
bracis-28352	101	29	\	\	NOUN
bracis-28352	101	30	)	)	PUNCT
bracis-28352	101	31	to	to	PART
bracis-28352	101	32	be	be	AUX
bracis-28352	101	33	true	true	ADJ
bracis-28352	101	34	.	.	PUNCT
bracis-28352	102	1	lexicographic	lexicographic	ADJ
bracis-28352	102	2	criteria	criterion	NOUN
bracis-28352	102	3	have	have	VERB
bracis-28352	102	4	1	1	NUM
bracis-28352	102	5	-	-	PUNCT
bracis-28352	102	6	strong	strong	ADJ
bracis-28352	102	7	probability	probability	NOUN
bracis-28352	102	8	-	-	PUNCT
bracis-28352	102	9	to	to	ADP
bracis-28352	102	10	-	-	PUNCT
bracis-28352	102	11	goal	goal	NOUN
bracis-28352	102	12	priority	priority	NOUN
bracis-28352	102	13	,	,	PUNCT
bracis-28352	102	14	as	as	SCONJ
bracis-28352	102	15	it	it	PRON
bracis-28352	102	16	is	be	AUX
bracis-28352	102	17	guaranteed	guarantee	VERB
bracis-28352	102	18	for	for	ADP
bracis-28352	102	19	these	these	DET
bracis-28352	102	20	criteria	criterion	NOUN
bracis-28352	102	21	that	that	SCONJ
bracis-28352	102	22	every	every	DET
bracis-28352	102	23	policy	policy	NOUN
bracis-28352	102	24	preferred	prefer	VERB
bracis-28352	102	25	over	over	ADP
bracis-28352	102	26	another	another	PRON
bracis-28352	102	27	has	have	VERB
bracis-28352	102	28	a	a	DET
bracis-28352	102	29	larger	large	ADJ
bracis-28352	102	30	value	value	NOUN
bracis-28352	102	31	of	of	ADP
bracis-28352	102	32	probability	probability	NOUN
bracis-28352	102	33	-	-	PUNCT
bracis-28352	102	34	to	to	ADP
bracis-28352	102	35	-	-	PUNCT
bracis-28352	102	36	goal	goal	NOUN
bracis-28352	102	37	[	[	X
bracis-28352	102	38	2	2	NUM
bracis-28352	102	39	]	]	PUNCT
bracis-28352	102	40	.	.	PUNCT
bracis-28352	103	1	the	the	DET
bracis-28352	103	2	gubs	gubs	ADJ
bracis-28352	103	3	criterion	criterion	NOUN
bracis-28352	103	4	guarantees	guarantee	VERB
bracis-28352	103	5	\(\alpha	\(\alpha	NOUN
bracis-28352	103	6	\)-strong	\)-strong	ADP
bracis-28352	103	7	priority	priority	NOUN
bracis-28352	103	8	for	for	ADP
bracis-28352	103	9	\(0\le	\(0\le	DET
bracis-28352	103	10	\alpha	\alpha	PROPN
bracis-28352	103	11	\le	\le	PROPN
bracis-28352	103	12	1\	1\	NUM
bracis-28352	103	13	)	)	PUNCT
bracis-28352	103	14	,	,	PUNCT
bracis-28352	103	15	while	while	SCONJ
bracis-28352	103	16	the	the	DET
bracis-28352	103	17	fsspude	fsspude	NOUN
bracis-28352	103	18	and	and	CCONJ
bracis-28352	103	19	discounted	discount	VERB
bracis-28352	103	20	cost	cost	NOUN
bracis-28352	103	21	criteria	criterion	NOUN
bracis-28352	103	22	only	only	ADV
bracis-28352	103	23	have	have	VERB
bracis-28352	103	24	such	such	ADJ
bracis-28352	103	25	guarantees	guarantee	NOUN
bracis-28352	103	26	for	for	ADP
bracis-28352	103	27	\(\alpha	\(\alpha	NOUN
bracis-28352	103	28	=	=	SYM
bracis-28352	103	29	0\	0\	PROPN
bracis-28352	103	30	)	)	PUNCT
bracis-28352	103	31	(	(	PUNCT
bracis-28352	103	32	only	only	ADV
bracis-28352	103	33	0	0	NUM
bracis-28352	103	34	-	-	PUNCT
bracis-28352	103	35	strong	strong	ADJ
bracis-28352	103	36	)	)	PUNCT
bracis-28352	104	1	[	[	X
bracis-28352	104	2	2	2	NUM
bracis-28352	104	3	]	]	PUNCT
bracis-28352	104	4	.	.	PUNCT
bracis-28352	105	1	2.4	2.4	NUM
bracis-28352	105	2	min	min	NOUN
bracis-28352	105	3	-	-	PUNCT
bracis-28352	105	4	cost	cost	NOUN
bracis-28352	105	5	given	give	VERB
bracis-28352	105	6	max	max	PROPN
bracis-28352	105	7	-	-	NOUN
bracis-28352	105	8	prob	prob	PROPN
bracis-28352	105	9	(	(	PUNCT
bracis-28352	105	10	mcmp	mcmp	PROPN
bracis-28352	105	11	)	)	PUNCT
bracis-28352	105	12	the	the	DET
bracis-28352	105	13	min	min	NOUN
bracis-28352	105	14	-	-	PUNCT
bracis-28352	105	15	cost	cost	NOUN
bracis-28352	105	16	given	give	VERB
bracis-28352	105	17	max	max	PROPN
bracis-28352	105	18	-	-	NOUN
bracis-28352	105	19	prob	prob	PROPN
bracis-28352	105	20	(	(	PUNCT
bracis-28352	105	21	mcmp	mcmp	NOUN
bracis-28352	105	22	)	)	PUNCT
bracis-28352	105	23	criterion	criterion	NOUN
bracis-28352	106	1	[	[	X
bracis-28352	106	2	16	16	NUM
bracis-28352	106	3	]	]	PUNCT
bracis-28352	106	4	shrinks	shrink	VERB
bracis-28352	106	5	trajectories	trajectory	NOUN
bracis-28352	106	6	by	by	ADP
bracis-28352	106	7	pruning	prune	VERB
bracis-28352	106	8	histories	history	NOUN
bracis-28352	106	9	in	in	ADP
bracis-28352	106	10	the	the	DET
bracis-28352	106	11	first	first	ADJ
bracis-28352	106	12	state	state	NOUN
bracis-28352	106	13	that	that	SCONJ
bracis-28352	106	14	a	a	DET
bracis-28352	106	15	dead	dead	ADJ
bracis-28352	106	16	-	-	PUNCT
bracis-28352	106	17	end	end	NOUN
bracis-28352	106	18	state	state	NOUN
bracis-28352	106	19	is	be	AUX
bracis-28352	106	20	reached	reach	VERB
bracis-28352	106	21	,	,	PUNCT
bracis-28352	106	22	if	if	SCONJ
bracis-28352	106	23	that	that	PRON
bracis-28352	106	24	ever	ever	ADV
bracis-28352	106	25	happens	happen	VERB
bracis-28352	106	26	.	.	PUNCT
bracis-28352	107	1	this	this	PRON
bracis-28352	107	2	is	be	AUX
bracis-28352	107	3	formulated	formulate	VERB
bracis-28352	107	4	by	by	ADP
bracis-28352	107	5	the	the	DET
bracis-28352	107	6	function	function	NOUN
bracis-28352	107	7	\(\psi	\(\psi	NOUN
bracis-28352	107	8	:	:	PUNCT
bracis-28352	108	1	\mathcal	\mathcal	PROPN
bracis-28352	108	2	{	{	PUNCT
bracis-28352	108	3	h}\rightarrow	h}\rightarrow	PROPN
bracis-28352	108	4	\mathcal	\mathcal	PROPN
bracis-28352	108	5	{	{	PUNCT
bracis-28352	108	6	h}\	h}\	NOUN
bracis-28352	108	7	):	):	PUNCT
bracis-28352	108	8	$	$	SYM
bracis-28352	108	9	$	$	SYM
bracis-28352	108	10	\begin{aligned	\begin{aligne	VERB
bracis-28352	108	11	}	}	PUNCT
bracis-28352	108	12	\psi	\psi	PROPN
bracis-28352	108	13	(	(	PUNCT
bracis-28352	108	14	h	h	NOUN
bracis-28352	108	15	)	)	PUNCT
bracis-28352	108	16	=	=	SYM
bracis-28352	108	17	{	{	PUNCT
bracis-28352	108	18	\left\	\left\	PROPN
bracis-28352	108	19	{	{	PUNCT
bracis-28352	108	20	\begin{array}{ll	\begin{array}{ll	PROPN
bracis-28352	108	21	}	}	PUNCT
bracis-28352	108	22	\{s_i\	\{s_i\	PROPN
bracis-28352	108	23	}	}	PUNCT
bracis-28352	108	24	,	,	PUNCT
bracis-28352	108	25	&	&	CCONJ
bracis-28352	108	26	{	{	PUNCT
bracis-28352	108	27	}	}	PUNCT
bracis-28352	108	28	\text	\text	PROPN
bracis-28352	108	29	{	{	PUNCT
bracis-28352	108	30	if	if	SCONJ
bracis-28352	108	31	}	}	PUNCT
bracis-28352	108	32	|h|	|h|	PROPN
bracis-28352	108	33	=	=	SYM
bracis-28352	108	34	1\text	1\text	NUM
bracis-28352	108	35	{	{	PUNCT
bracis-28352	108	36	or	or	CCONJ
bracis-28352	108	37	}	}	PUNCT
bracis-28352	108	38	p_g(s_i	p_g(s_i	ADV
bracis-28352	108	39	)	)	PUNCT
bracis-28352	108	40	=	=	PUNCT
bracis-28352	109	1	0\\	0\\	NUM
bracis-28352	109	2	\{\langle	\{\langle	NUM
bracis-28352	109	3	s_i	s_i	NOUN
bracis-28352	109	4	,	,	PUNCT
bracis-28352	109	5	a_i	a_i	PROPN
bracis-28352	109	6	,	,	PUNCT
bracis-28352	109	7	c_i	c_i	PUNCT
bracis-28352	109	8	\rangle	\rangle	NOUN
bracis-28352	109	9	\}\cup	\}\cup	PROPN
bracis-28352	109	10	\psi	\psi	PROPN
bracis-28352	109	11	(	(	PUNCT
bracis-28352	109	12	\{\langle	\{\langle	NUM
bracis-28352	109	13	s_{i	s_{i	NOUN
bracis-28352	109	14	+	+	CCONJ
bracis-28352	109	15	1	1	NUM
bracis-28352	109	16	}	}	PUNCT
bracis-28352	109	17	,	,	PUNCT
bracis-28352	109	18	a_{i	a_{i	VERB
bracis-28352	109	19	+	+	NOUN
bracis-28352	109	20	1	1	NUM
bracis-28352	109	21	}	}	PUNCT
bracis-28352	109	22	,	,	PUNCT
bracis-28352	109	23	c_{i	c_{i	VERB
bracis-28352	110	1	+	+	NOUN
bracis-28352	110	2	1	1	NUM
bracis-28352	110	3	}	}	PUNCT
bracis-28352	110	4	\rangle	\rangle	NOUN
bracis-28352	110	5	,	,	PUNCT
bracis-28352	110	6	\dots	\dot	NOUN
bracis-28352	110	7	\	\	ADJ
bracis-28352	110	8	}	}	PUNCT
bracis-28352	110	9	)	)	PUNCT
bracis-28352	110	10	,	,	PUNCT
bracis-28352	110	11	&	&	CCONJ
bracis-28352	110	12	{	{	PUNCT
bracis-28352	110	13	}	}	PUNCT
bracis-28352	110	14	\text	\text	PROPN
bracis-28352	110	15	{	{	PUNCT
bracis-28352	110	16	otherwise	otherwise	ADV
bracis-28352	110	17	}	}	PUNCT
bracis-28352	110	18	,	,	PUNCT
bracis-28352	110	19	\end{array}\right	\end{array}\right	PROPN
bracis-28352	110	20	.	.	PUNCT
bracis-28352	110	21	}	}	PUNCT
bracis-28352	110	22	\end{aligned}$$	\end{aligned}$$	X
bracis-28352	110	23	(	(	PUNCT
bracis-28352	110	24	1	1	X
bracis-28352	110	25	)	)	PUNCT
bracis-28352	110	26	such	such	ADJ
bracis-28352	110	27	that	that	DET
bracis-28352	110	28	\(h	\(h	NOUN
bracis-28352	110	29	=	=	NOUN
bracis-28352	110	30	\{\langle	\{\langle	NUM
bracis-28352	110	31	s_i	s_i	PROPN
bracis-28352	110	32	,	,	PUNCT
bracis-28352	110	33	a_i	a_i	PROPN
bracis-28352	110	34	,	,	PUNCT
bracis-28352	110	35	c_i	c_i	PRON
bracis-28352	110	36	\rangle	\rangle	NOUN
bracis-28352	110	37	,	,	PUNCT
bracis-28352	110	38	\langle	\langle	PROPN
bracis-28352	110	39	s_{i	s_{i	NOUN
bracis-28352	110	40	+	+	CCONJ
bracis-28352	110	41	1	1	NUM
bracis-28352	110	42	}	}	PUNCT
bracis-28352	110	43	,	,	PUNCT
bracis-28352	110	44	a_{i	a_{i	VERB
bracis-28352	110	45	+	+	NOUN
bracis-28352	110	46	1	1	NUM
bracis-28352	110	47	}	}	PUNCT
bracis-28352	110	48	,	,	PUNCT
bracis-28352	110	49	c_{i	c_{i	VERB
bracis-28352	111	1	+	+	NOUN
bracis-28352	111	2	1	1	NUM
bracis-28352	111	3	}	}	PUNCT
bracis-28352	111	4	\rangle	\rangle	NOUN
bracis-28352	111	5	,	,	PUNCT
bracis-28352	111	6	\dots	\dot	NOUN
bracis-28352	111	7	\}\	\}\	ADV
bracis-28352	111	8	)	)	PUNCT
bracis-28352	111	9	.	.	PUNCT
bracis-28352	112	1	based	base	VERB
bracis-28352	112	2	on	on	ADP
bracis-28352	112	3	that	that	PRON
bracis-28352	112	4	,	,	PUNCT
bracis-28352	112	5	the	the	DET
bracis-28352	112	6	value	value	NOUN
bracis-28352	112	7	of	of	ADP
bracis-28352	112	8	a	a	DET
bracis-28352	112	9	policy	policy	NOUN
bracis-28352	112	10	under	under	ADP
bracis-28352	112	11	the	the	DET
bracis-28352	112	12	mcmp	mcmp	NOUN
bracis-28352	112	13	criterion	criterion	NOUN
bracis-28352	112	14	is	be	AUX
bracis-28352	112	15	given	give	VERB
bracis-28352	112	16	by	by	ADP
bracis-28352	112	17	the	the	DET
bracis-28352	112	18	following	follow	VERB
bracis-28352	112	19	function	function	NOUN
bracis-28352	112	20	:	:	PUNCT
bracis-28352	112	21	$	$	SYM
bracis-28352	112	22	$	$	SYM
bracis-28352	112	23	\bar{c}_{mcmp}^\pi	\bar{c}_{mcmp}^\pi	NOUN
bracis-28352	112	24	(	(	PUNCT
bracis-28352	112	25	s	s	NOUN
bracis-28352	112	26	)	)	PUNCT
bracis-28352	112	27	=	=	SYM
bracis-28352	113	1	\mathbb	\mathbb	PROPN
bracis-28352	113	2	{	{	PUNCT
bracis-28352	113	3	e}\left	e}\left	ADV
bracis-28352	113	4	[	[	X
bracis-28352	113	5	\sum	\sum	NOUN
bracis-28352	113	6	_	_	PUNCT
bracis-28352	113	7	{	{	PUNCT
bracis-28352	113	8	t=0}^{|\psi	t=0}^{|\psi	PROPN
bracis-28352	113	9	(	(	PUNCT
bracis-28352	113	10	h)|}c_{t}\mid	h)|}c_{t}\mid	PROPN
bracis-28352	113	11	\pi	\pi	PROPN
bracis-28352	113	12	,	,	PUNCT
bracis-28352	113	13	s_{0}=s\right	s_{0}=s\right	X
bracis-28352	113	14	]	]	PUNCT
bracis-28352	113	15	.	.	PUNCT
bracis-28352	114	1	$	$	SYM
bracis-28352	114	2	$	$	NOUN
bracis-28352	114	3	finally	finally	ADV
bracis-28352	114	4	,	,	PUNCT
bracis-28352	114	5	a	a	DET
bracis-28352	114	6	policy	policy	NOUN
bracis-28352	114	7	\(\pi	\(\pi	PROPN
bracis-28352	114	8	^*_{mcmp}\	^*_{mcmp}\	NUM
bracis-28352	114	9	)	)	PUNCT
bracis-28352	114	10	is	be	AUX
bracis-28352	114	11	optimal	optimal	ADJ
bracis-28352	114	12	under	under	ADP
bracis-28352	114	13	mcmp	mcmp	NOUN
bracis-28352	114	14	if	if	SCONJ
bracis-28352	114	15	it	it	PRON
bracis-28352	114	16	minimizes	minimize	VERB
bracis-28352	114	17	\(\bar{c}_{mcmp}\	\(\bar{c}_{mcmp}\	NOUN
bracis-28352	114	18	)	)	PUNCT
bracis-28352	114	19	given	give	VERB
bracis-28352	114	20	that	that	SCONJ
bracis-28352	114	21	it	it	PRON
bracis-28352	114	22	maximizes	maximize	VERB
bracis-28352	114	23	\(p^\pi	\(p^\pi	NOUN
bracis-28352	114	24	_	_	PUNCT
bracis-28352	115	1	g(s_0)\	g(s_0)\	NOUN
bracis-28352	115	2	):	):	PUNCT
bracis-28352	115	3	$	$	SYM
bracis-28352	115	4	$	$	SYM
bracis-28352	115	5	\begin{aligned	\begin{aligne	VERB
bracis-28352	115	6	}	}	PUNCT
bracis-28352	115	7	\pi	\pi	ADJ
bracis-28352	115	8	^*_{mcmp	^*_{mcmp	NUM
bracis-28352	115	9	}	}	PUNCT
bracis-28352	115	10	=	=	VERB
bracis-28352	115	11	\min	\min	NOUN
bracis-28352	115	12	_	_	PUNCT
bracis-28352	115	13	{	{	PUNCT
bracis-28352	115	14	\pi	\pi	PROPN
bracis-28352	115	15	\in	\in	PROPN
bracis-28352	115	16	\pi	\pi	NOUN
bracis-28352	115	17	_	_	PROPN
bracis-28352	115	18	{	{	PUNCT
bracis-28352	115	19	mp	mp	NOUN
bracis-28352	115	20	}	}	PUNCT
bracis-28352	115	21	}	}	PUNCT
bracis-28352	115	22	\bar{c}_{mcmp}^\pi	\bar{c}_{mcmp}^\pi	NOUN
bracis-28352	115	23	(	(	PUNCT
bracis-28352	115	24	s_0	s_0	PROPN
bracis-28352	115	25	)	)	PUNCT
bracis-28352	115	26	,	,	PUNCT
bracis-28352	115	27	\end{aligned}$$	\end{aligned}$$	VERB
bracis-28352	115	28	such	such	ADJ
bracis-28352	115	29	that	that	PRON
bracis-28352	115	30	\(\pi	\(\pi	PROPN
bracis-28352	116	1	_	_	PUNCT
bracis-28352	116	2	{	{	PUNCT
bracis-28352	116	3	mp}\	mp}\	NOUN
bracis-28352	116	4	)	)	PUNCT
bracis-28352	116	5	is	be	AUX
bracis-28352	116	6	the	the	DET
bracis-28352	116	7	set	set	NOUN
bracis-28352	116	8	that	that	PRON
bracis-28352	116	9	maximizes	maximize	VERB
bracis-28352	116	10	\(p^\pi	\(p^\pi	VERB
bracis-28352	116	11	_	_	PUNCT
bracis-28352	116	12	g(s_0)\	g(s_0)\	NOUN
bracis-28352	116	13	)	)	PUNCT
bracis-28352	116	14	,	,	PUNCT
bracis-28352	116	15	i.e.	i.e.	X
bracis-28352	116	16	\(\pi	\(\pi	X
bracis-28352	116	17	_	_	PUNCT
bracis-28352	116	18	{	{	PUNCT
bracis-28352	116	19	mp	mp	NOUN
bracis-28352	116	20	}	}	PUNCT
bracis-28352	116	21	=	=	PUNCT
bracis-28352	116	22	\{\pi	\{\pi	ADJ
bracis-28352	116	23	\mid	\mid	ADP
bracis-28352	116	24	p^\pi	p^\pi	PROPN
bracis-28352	116	25	_	_	PUNCT
bracis-28352	116	26	g(s_0	g(s_0	ADJ
bracis-28352	116	27	)	)	PUNCT
bracis-28352	117	1	=	=	SYM
bracis-28352	117	2	\max	\max	PROPN
bracis-28352	117	3	_	_	PUNCT
bracis-28352	117	4	{	{	PUNCT
bracis-28352	117	5	\pi	\pi	PROPN
bracis-28352	117	6	'	'	PUNCT
bracis-28352	117	7	\in	\in	ADJ
bracis-28352	117	8	\pi	\pi	NOUN
bracis-28352	117	9	}	}	PUNCT
bracis-28352	117	10	p^{\pi	p^{\pi	NOUN
bracis-28352	117	11	'	'	PUNCT
bracis-28352	117	12	}	}	PUNCT
bracis-28352	117	13	_	_	PRON
bracis-28352	117	14	g(s_0)\}\	g(s_0)\}\	NOUN
bracis-28352	117	15	)	)	PUNCT
bracis-28352	117	16	.	.	PUNCT
bracis-28352	118	1	solving	solve	VERB
bracis-28352	118	2	mcmp	mcmp	NOUN
bracis-28352	118	3	is	be	AUX
bracis-28352	118	4	equivalent	equivalent	ADJ
bracis-28352	118	5	to	to	ADP
bracis-28352	118	6	solving	solve	VERB
bracis-28352	118	7	the	the	DET
bracis-28352	118	8	following	follow	VERB
bracis-28352	118	9	lp	lp	ADJ
bracis-28352	118	10	2	2	NUM
bracis-28352	118	11	,	,	PUNCT
bracis-28352	118	12	a	a	DET
bracis-28352	118	13	modified	modify	VERB
bracis-28352	118	14	version	version	NOUN
bracis-28352	118	15	of	of	ADP
bracis-28352	118	16	lp1	lp1	PROPN
bracis-28352	118	17	.	.	PUNCT
bracis-28352	119	1	the	the	DET
bracis-28352	119	2	differences	difference	NOUN
bracis-28352	119	3	between	between	ADP
bracis-28352	119	4	the	the	DET
bracis-28352	119	5	original	original	ADJ
bracis-28352	119	6	lp	lp	NOUN
bracis-28352	119	7	for	for	ADP
bracis-28352	119	8	ssps	ssps	NOUN
bracis-28352	119	9	and	and	CCONJ
bracis-28352	119	10	lp2	lp2	PROPN
bracis-28352	119	11	are	be	AUX
bracis-28352	119	12	that	that	SCONJ
bracis-28352	119	13	the	the	DET
bracis-28352	119	14	constraints	constraint	NOUN
bracis-28352	119	15	(	(	PUNCT
bracis-28352	119	16	c4	c4	NOUN
bracis-28352	119	17	)	)	PUNCT
bracis-28352	119	18	and	and	CCONJ
bracis-28352	119	19	(	(	PUNCT
bracis-28352	119	20	c5	c5	PROPN
bracis-28352	119	21	)	)	PUNCT
bracis-28352	119	22	were	be	AUX
bracis-28352	119	23	replaced	replace	VERB
bracis-28352	119	24	respectively	respectively	ADV
bracis-28352	119	25	by	by	ADP
bracis-28352	119	26	(	(	PUNCT
bracis-28352	119	27	c7	c7	PROPN
bracis-28352	119	28	)	)	PUNCT
bracis-28352	119	29	and	and	CCONJ
bracis-28352	119	30	(	(	PUNCT
bracis-28352	119	31	c8	c8	PROPN
bracis-28352	119	32	)	)	PUNCT
bracis-28352	119	33	,	,	PUNCT
bracis-28352	119	34	in	in	ADP
bracis-28352	119	35	which	which	PRON
bracis-28352	119	36	equalities	equality	NOUN
bracis-28352	119	37	are	be	AUX
bracis-28352	119	38	replaced	replace	VERB
bracis-28352	119	39	by	by	ADP
bracis-28352	119	40	inequalities	inequality	NOUN
bracis-28352	119	41	,	,	PUNCT
bracis-28352	119	42	and	and	CCONJ
bracis-28352	119	43	(	(	PUNCT
bracis-28352	119	44	c6	c6	PROPN
bracis-28352	119	45	)	)	PUNCT
bracis-28352	119	46	was	be	AUX
bracis-28352	119	47	replaced	replace	VERB
bracis-28352	119	48	by	by	ADP
bracis-28352	119	49	(	(	PUNCT
bracis-28352	119	50	c9	c9	NOUN
bracis-28352	119	51	)	)	PUNCT
bracis-28352	119	52	,	,	PUNCT
bracis-28352	119	53	in	in	ADP
bracis-28352	119	54	which	which	PRON
bracis-28352	119	55	1	1	NUM
bracis-28352	119	56	is	be	AUX
bracis-28352	119	57	substituted	substitute	VERB
bracis-28352	119	58	by	by	ADP
bracis-28352	119	59	\(p_g(s_0)\	\(p_g(s_0)\	PROPN
bracis-28352	119	60	)	)	PUNCT
bracis-28352	119	61	.	.	PUNCT
bracis-28352	120	1	the	the	DET
bracis-28352	120	2	inequality	inequality	NOUN
bracis-28352	120	3	introduced	introduce	VERB
bracis-28352	120	4	in	in	ADP
bracis-28352	120	5	(	(	PUNCT
bracis-28352	120	6	c7	c7	PROPN
bracis-28352	120	7	)	)	PUNCT
bracis-28352	120	8	means	mean	VERB
bracis-28352	120	9	that	that	SCONJ
bracis-28352	120	10	the	the	DET
bracis-28352	120	11	expected	expect	VERB
bracis-28352	120	12	flow	flow	NOUN
bracis-28352	120	13	when	when	SCONJ
bracis-28352	120	14	reaching	reach	VERB
bracis-28352	120	15	a	a	DET
bracis-28352	120	16	state	state	NOUN
bracis-28352	120	17	(	(	PUNCT
bracis-28352	120	18	in(s	in(s	NUM
bracis-28352	120	19	)	)	PUNCT
bracis-28352	120	20	)	)	PUNCT
bracis-28352	120	21	is	be	AUX
bracis-28352	120	22	higher	high	ADJ
bracis-28352	120	23	than	than	ADP
bracis-28352	120	24	the	the	DET
bracis-28352	120	25	expected	expect	VERB
bracis-28352	120	26	flow	flow	NOUN
bracis-28352	120	27	when	when	SCONJ
bracis-28352	120	28	leaving	leave	VERB
bracis-28352	120	29	it	it	PRON
bracis-28352	120	30	(	(	PUNCT
bracis-28352	120	31	out(s	out(s	PROPN
bracis-28352	120	32	)	)	PUNCT
bracis-28352	120	33	)	)	PUNCT
bracis-28352	120	34	.	.	PUNCT
bracis-28352	121	1	this	this	PRON
bracis-28352	121	2	can	can	AUX
bracis-28352	121	3	be	be	AUX
bracis-28352	121	4	interpreted	interpret	VERB
bracis-28352	121	5	as	as	ADP
bracis-28352	121	6	an	an	DET
bracis-28352	121	7	implicit	implicit	ADJ
bracis-28352	121	8	give	give	VERB
bracis-28352	121	9	-	-	PUNCT
bracis-28352	121	10	up	up	ADP
bracis-28352	121	11	action	action	NOUN
bracis-28352	121	12	with	with	ADP
bracis-28352	121	13	no	no	DET
bracis-28352	121	14	cost	cost	NOUN
bracis-28352	121	15	that	that	PRON
bracis-28352	121	16	can	can	AUX
bracis-28352	121	17	be	be	AUX
bracis-28352	121	18	taken	take	VERB
bracis-28352	121	19	by	by	ADP
bracis-28352	121	20	the	the	DET
bracis-28352	121	21	agent	agent	NOUN
bracis-28352	121	22	,	,	PUNCT
bracis-28352	121	23	which	which	PRON
bracis-28352	121	24	represents	represent	VERB
bracis-28352	121	25	the	the	DET
bracis-28352	121	26	pruning	pruning	NOUN
bracis-28352	121	27	of	of	ADP
bracis-28352	121	28	histories	history	NOUN
bracis-28352	121	29	that	that	PRON
bracis-28352	121	30	contain	contain	VERB
bracis-28352	121	31	dead	dead	ADJ
bracis-28352	121	32	ends	end	NOUN
bracis-28352	121	33	defined	define	VERB
bracis-28352	121	34	in	in	ADP
bracis-28352	121	35	the	the	DET
bracis-28352	121	36	function	function	NOUN
bracis-28352	121	37	\(\psi	\(\psi	ADP
bracis-28352	121	38	\	\	NOUN
bracis-28352	121	39	)	)	PUNCT
bracis-28352	121	40	.	.	PUNCT
bracis-28352	122	1	on	on	ADP
bracis-28352	122	2	a	a	DET
bracis-28352	122	3	similar	similar	ADJ
bracis-28352	122	4	note	note	NOUN
bracis-28352	122	5	,	,	PUNCT
bracis-28352	122	6	the	the	DET
bracis-28352	122	7	inequality	inequality	NOUN
bracis-28352	122	8	represented	represent	VERB
bracis-28352	122	9	by	by	ADP
bracis-28352	122	10	(	(	PUNCT
bracis-28352	122	11	c8	c8	PROPN
bracis-28352	122	12	)	)	PUNCT
bracis-28352	122	13	means	mean	VERB
bracis-28352	122	14	that	that	SCONJ
bracis-28352	122	15	the	the	DET
bracis-28352	122	16	expected	expect	VERB
bracis-28352	122	17	flow	flow	NOUN
bracis-28352	122	18	reaching	reach	VERB
bracis-28352	122	19	the	the	DET
bracis-28352	122	20	initial	initial	ADJ
bracis-28352	122	21	state	state	NOUN
bracis-28352	122	22	\(s_0\	\(s_0\	PROPN
bracis-28352	122	23	)	)	PUNCT
bracis-28352	122	24	is	be	AUX
bracis-28352	122	25	higher	high	ADJ
bracis-28352	122	26	than	than	ADP
bracis-28352	122	27	the	the	DET
bracis-28352	122	28	expected	expect	VERB
bracis-28352	122	29	flow	flow	NOUN
bracis-28352	122	30	leaving	leave	VERB
bracis-28352	122	31	this	this	DET
bracis-28352	122	32	same	same	ADJ
bracis-28352	122	33	state	state	NOUN
bracis-28352	122	34	.	.	PUNCT
bracis-28352	123	1	in	in	ADP
bracis-28352	123	2	other	other	ADJ
bracis-28352	123	3	words	word	NOUN
bracis-28352	123	4	,	,	PUNCT
bracis-28352	123	5	the	the	DET
bracis-28352	123	6	agent	agent	NOUN
bracis-28352	123	7	always	always	ADV
bracis-28352	123	8	enters	enter	VERB
bracis-28352	123	9	\(s_0\	\(s_0\	PROPN
bracis-28352	123	10	)	)	PUNCT
bracis-28352	123	11	,	,	PUNCT
bracis-28352	123	12	since	since	SCONJ
bracis-28352	123	13	it	it	PRON
bracis-28352	123	14	is	be	AUX
bracis-28352	123	15	the	the	DET
bracis-28352	123	16	initial	initial	ADJ
bracis-28352	123	17	state	state	NOUN
bracis-28352	123	18	(	(	PUNCT
bracis-28352	123	19	thus	thus	ADV
bracis-28352	123	20	\(in(s_0	\(in(s_0	ADJ
bracis-28352	123	21	)	)	PUNCT
bracis-28352	123	22	=	=	SYM
bracis-28352	123	23	1\	1\	NUM
bracis-28352	123	24	)	)	PUNCT
bracis-28352	123	25	)	)	PUNCT
bracis-28352	123	26	,	,	PUNCT
bracis-28352	123	27	but	but	CCONJ
bracis-28352	123	28	not	not	PART
bracis-28352	123	29	always	always	ADV
bracis-28352	123	30	leaves	leave	VERB
bracis-28352	123	31	without	without	ADP
bracis-28352	123	32	giving	give	VERB
bracis-28352	123	33	up	up	ADP
bracis-28352	123	34	(	(	PUNCT
bracis-28352	123	35	which	which	PRON
bracis-28352	123	36	means	mean	VERB
bracis-28352	123	37	that	that	SCONJ
bracis-28352	123	38	\(out(s_0	\(out(s_0	NOUN
bracis-28352	123	39	)	)	PUNCT
bracis-28352	123	40	>	>	PUNCT
bracis-28352	123	41	=	=	SYM
bracis-28352	123	42	0\	0\	PROPN
bracis-28352	123	43	)	)	PUNCT
bracis-28352	123	44	)	)	PUNCT
bracis-28352	123	45	.	.	PUNCT
bracis-28352	124	1	also	also	ADV
bracis-28352	124	2	note	note	VERB
bracis-28352	124	3	that	that	SCONJ
bracis-28352	124	4	a	a	DET
bracis-28352	124	5	probabilistic	probabilistic	ADJ
bracis-28352	124	6	markovian	markovian	ADJ
bracis-28352	124	7	policy	policy	NOUN
bracis-28352	124	8	\(\pi	\(\pi	PROPN
bracis-28352	124	9	^*(s	^*(s	PUNCT
bracis-28352	124	10	,	,	PUNCT
bracis-28352	124	11	a	a	PRON
bracis-28352	124	12	)	)	PUNCT
bracis-28352	124	13	=	=	SYM
bracis-28352	124	14	x_{s	x_{s	PROPN
bracis-28352	124	15	,	,	PUNCT
bracis-28352	124	16	a	a	DET
bracis-28352	124	17	}	}	PUNCT
bracis-28352	124	18	/	/	SYM
bracis-28352	124	19	out(s)\	out(s)\	NUM
bracis-28352	124	20	)	)	PUNCT
bracis-28352	124	21	can	can	AUX
bracis-28352	124	22	be	be	AUX
bracis-28352	124	23	generated	generate	VERB
bracis-28352	124	24	after	after	ADP
bracis-28352	124	25	solving	solve	VERB
bracis-28352	124	26	lp2	lp2	PROPN
bracis-28352	124	27	.	.	PUNCT
bracis-28352	124	28	to	to	PART
bracis-28352	124	29	find	find	VERB
bracis-28352	124	30	\(p_g(s_0)\	\(p_g(s_0)\	PROPN
bracis-28352	124	31	)	)	PUNCT
bracis-28352	124	32	,	,	PUNCT
bracis-28352	124	33	another	another	DET
bracis-28352	124	34	linear	linear	PROPN
bracis-28352	124	35	program	program	NOUN
bracis-28352	124	36	,	,	PUNCT
bracis-28352	124	37	referred	refer	VERB
bracis-28352	124	38	to	to	ADP
bracis-28352	124	39	as	as	ADP
bracis-28352	124	40	lp3	lp3	NOUN
bracis-28352	124	41	,	,	PUNCT
bracis-28352	124	42	can	can	AUX
bracis-28352	124	43	be	be	AUX
bracis-28352	124	44	used	use	VERB
bracis-28352	124	45	[	[	PUNCT
bracis-28352	124	46	16	16	NUM
bracis-28352	124	47	]	]	PUNCT
bracis-28352	124	48	.	.	PUNCT
bracis-28352	125	1	in	in	ADP
bracis-28352	125	2	this	this	DET
bracis-28352	125	3	lp	lp	NOUN
bracis-28352	125	4	,	,	PUNCT
bracis-28352	125	5	the	the	DET
bracis-28352	125	6	objective	objective	ADJ
bracis-28352	125	7	function	function	NOUN
bracis-28352	125	8	maximizes	maximize	VERB
bracis-28352	125	9	the	the	DET
bracis-28352	125	10	total	total	ADJ
bracis-28352	125	11	expected	expect	VERB
bracis-28352	125	12	flow	flow	NOUN
bracis-28352	125	13	of	of	ADP
bracis-28352	125	14	reaching	reach	VERB
bracis-28352	125	15	goal	goal	NOUN
bracis-28352	125	16	states	state	NOUN
bracis-28352	125	17	,	,	PUNCT
bracis-28352	125	18	which	which	PRON
bracis-28352	125	19	is	be	AUX
bracis-28352	125	20	equivalent	equivalent	ADJ
bracis-28352	125	21	to	to	ADP
bracis-28352	125	22	the	the	DET
bracis-28352	125	23	probability	probability	NOUN
bracis-28352	125	24	-	-	PUNCT
bracis-28352	125	25	to	to	ADP
bracis-28352	125	26	-	-	PUNCT
bracis-28352	125	27	goal	goal	NOUN
bracis-28352	125	28	from	from	ADP
bracis-28352	125	29	the	the	DET
bracis-28352	125	30	initial	initial	ADJ
bracis-28352	125	31	state	state	NOUN
bracis-28352	125	32	 	 	SPACE
bracis-28352	125	33	\(s_0\	\(s_0\	PROPN
bracis-28352	125	34	)	)	PUNCT
bracis-28352	125	35	.	.	PUNCT
bracis-28352	126	1	since	since	SCONJ
bracis-28352	126	2	mcmp	mcmp	PROPN
bracis-28352	126	3	is	be	AUX
bracis-28352	126	4	a	a	DET
bracis-28352	126	5	lexicographic	lexicographic	ADJ
bracis-28352	126	6	criterion	criterion	NOUN
bracis-28352	126	7	,	,	PUNCT
bracis-28352	126	8	it	it	PRON
bracis-28352	126	9	follows	follow	VERB
bracis-28352	126	10	that	that	SCONJ
bracis-28352	126	11	it	it	PRON
bracis-28352	126	12	maintains	maintain	VERB
bracis-28352	126	13	1	1	NUM
bracis-28352	126	14	-	-	PUNCT
bracis-28352	126	15	strong	strong	ADJ
bracis-28352	126	16	probability	probability	NOUN
bracis-28352	126	17	-	-	PUNCT
bracis-28352	126	18	to	to	ADP
bracis-28352	126	19	-	-	PUNCT
bracis-28352	126	20	goal	goal	NOUN
bracis-28352	126	21	priority	priority	NOUN
bracis-28352	126	22	[	[	X
bracis-28352	126	23	2	2	NUM
bracis-28352	126	24	]	]	PUNCT
bracis-28352	126	25	.	.	PUNCT
bracis-28352	127	1	as	as	ADP
bracis-28352	127	2	an	an	DET
bracis-28352	127	3	example	example	NOUN
bracis-28352	127	4	,	,	PUNCT
bracis-28352	127	5	consider	consider	VERB
bracis-28352	127	6	the	the	DET
bracis-28352	127	7	ssp	ssp	NOUN
bracis-28352	127	8	displayed	display	VERB
bracis-28352	127	9	in	in	ADP
bracis-28352	127	10	the	the	DET
bracis-28352	127	11	fig	fig	NOUN
bracis-28352	127	12	.	.	PUNCT
bracis-28352	127	13	 	 	SPACE
bracis-28352	128	1	1	1	NUM
bracis-28352	128	2	.	.	PUNCT
bracis-28352	128	3	as	as	SCONJ
bracis-28352	128	4	mentioned	mention	VERB
bracis-28352	128	5	before	before	ADV
bracis-28352	128	6	,	,	PUNCT
bracis-28352	128	7	mcmp	mcmp	PROPN
bracis-28352	128	8	will	will	AUX
bracis-28352	128	9	choose	choose	VERB
bracis-28352	128	10	as	as	ADV
bracis-28352	128	11	optimal	optimal	ADJ
bracis-28352	128	12	the	the	DET
bracis-28352	128	13	policy	policy	NOUN
bracis-28352	128	14	that	that	PRON
bracis-28352	128	15	takes	take	VERB
bracis-28352	128	16	action	action	NOUN
bracis-28352	128	17	a	a	PRON
bracis-28352	128	18	at	at	ADP
bracis-28352	128	19	\(s_0\	\(s_0\	NOUN
bracis-28352	128	20	)	)	PUNCT
bracis-28352	128	21	.	.	PUNCT
bracis-28352	129	1	let	let	AUX
bracis-28352	129	2	\(\pi	\(\pi	PROPN
bracis-28352	129	3	\	\	NOUN
bracis-28352	129	4	)	)	PUNCT
bracis-28352	129	5	be	be	AUX
bracis-28352	129	6	this	this	DET
bracis-28352	129	7	policy	policy	NOUN
bracis-28352	129	8	.	.	PUNCT
bracis-28352	130	1	the	the	DET
bracis-28352	130	2	cost	cost	NOUN
bracis-28352	130	3	value	value	NOUN
bracis-28352	130	4	under	under	ADP
bracis-28352	130	5	the	the	DET
bracis-28352	130	6	mcmp	mcmp	NOUN
bracis-28352	130	7	criterion	criterion	NOUN
bracis-28352	130	8	for	for	ADP
bracis-28352	130	9	\(\pi	\(\pi	PROPN
bracis-28352	130	10	\	\	NOUN
bracis-28352	130	11	)	)	PUNCT
bracis-28352	130	12	is	be	AUX
bracis-28352	130	13	\(c^\pi	\(c^\pi	ADJ
bracis-28352	130	14	_	_	PUNCT
bracis-28352	130	15	{	{	PUNCT
bracis-28352	130	16	mcmp}(s_0	mcmp}(s_0	ADJ
bracis-28352	130	17	)	)	PUNCT
bracis-28352	130	18	=	=	SYM
bracis-28352	130	19	c_a\	c_a\	NOUN
bracis-28352	130	20	)	)	PUNCT
bracis-28352	130	21	.	.	PUNCT
bracis-28352	131	1	additionally	additionally	ADV
bracis-28352	131	2	,	,	PUNCT
bracis-28352	131	3	we	we	PRON
bracis-28352	131	4	can	can	AUX
bracis-28352	131	5	modify	modify	VERB
bracis-28352	131	6	mcmp	mcmp	NOUN
bracis-28352	131	7	to	to	PART
bracis-28352	131	8	make	make	VERB
bracis-28352	131	9	trade	trade	NOUN
bracis-28352	131	10	-	-	PUNCT
bracis-28352	131	11	offs	off	NOUN
bracis-28352	131	12	between	between	ADP
bracis-28352	131	13	probability	probability	NOUN
bracis-28352	131	14	and	and	CCONJ
bracis-28352	131	15	cost	cost	NOUN
bracis-28352	131	16	by	by	ADP
bracis-28352	131	17	simply	simply	ADV
bracis-28352	131	18	substituting	substitute	VERB
bracis-28352	131	19	\(p_g(s_0)\	\(p_g(s_0)\	NOUN
bracis-28352	131	20	)	)	PUNCT
bracis-28352	131	21	in	in	ADP
bracis-28352	131	22	(	(	PUNCT
bracis-28352	131	23	c6	c6	PROPN
bracis-28352	131	24	)	)	PUNCT
bracis-28352	131	25	to	to	ADP
bracis-28352	131	26	any	any	DET
bracis-28352	131	27	probability	probability	NOUN
bracis-28352	131	28	value	value	NOUN
bracis-28352	131	29	p	p	NOUN
bracis-28352	131	30	,	,	PUNCT
bracis-28352	131	31	and	and	CCONJ
bracis-28352	131	32	lp2	lp2	PROPN
bracis-28352	131	33	will	will	AUX
bracis-28352	131	34	then	then	ADV
bracis-28352	131	35	generate	generate	VERB
bracis-28352	131	36	a	a	DET
bracis-28352	131	37	policy	policy	NOUN
bracis-28352	131	38	\(\pi	\(\pi	ADP
bracis-28352	131	39	\	\	NOUN
bracis-28352	131	40	)	)	PUNCT
bracis-28352	131	41	such	such	ADJ
bracis-28352	131	42	that	that	DET
bracis-28352	131	43	\(p^\pi	\(p^\pi	NOUN
bracis-28352	131	44	_	_	PUNCT
bracis-28352	131	45	g(s_0	g(s_0	ADJ
bracis-28352	131	46	)	)	PUNCT
bracis-28352	131	47	=	=	PUNCT
bracis-28352	132	1	p\	p\	NOUN
bracis-28352	132	2	)	)	PUNCT
bracis-28352	133	1	[	[	X
bracis-28352	133	2	8	8	NUM
bracis-28352	133	3	]	]	PUNCT
bracis-28352	133	4	.	.	PUNCT
bracis-28352	134	1	in	in	ADP
bracis-28352	134	2	the	the	DET
bracis-28352	134	3	example	example	NOUN
bracis-28352	134	4	of	of	ADP
bracis-28352	134	5	fig	fig	NOUN
bracis-28352	134	6	.	.	PUNCT
bracis-28352	134	7	 	 	SPACE
bracis-28352	134	8	1	1	NUM
bracis-28352	134	9	,	,	PUNCT
bracis-28352	134	10	if	if	SCONJ
bracis-28352	134	11	we	we	PRON
bracis-28352	134	12	replace	replace	VERB
bracis-28352	134	13	\(p_g(s_0)\	\(p_g(s_0)\	NOUN
bracis-28352	134	14	)	)	PUNCT
bracis-28352	134	15	in	in	ADP
bracis-28352	134	16	(	(	PUNCT
bracis-28352	134	17	c9	c9	NOUN
bracis-28352	134	18	)	)	PUNCT
bracis-28352	134	19	with	with	ADP
bracis-28352	134	20	the	the	DET
bracis-28352	134	21	value	value	NOUN
bracis-28352	134	22	p	p	X
bracis-28352	134	23	,	,	PUNCT
bracis-28352	134	24	for	for	ADP
bracis-28352	134	25	instance	instance	NOUN
bracis-28352	134	26	,	,	PUNCT
bracis-28352	134	27	lp2	lp2	PROPN
bracis-28352	134	28	could	could	AUX
bracis-28352	134	29	return	return	VERB
bracis-28352	134	30	a	a	DET
bracis-28352	134	31	policy	policy	NOUN
bracis-28352	134	32	that	that	PRON
bracis-28352	134	33	always	always	ADV
bracis-28352	134	34	takes	take	VERB
bracis-28352	134	35	b	b	NOUN
bracis-28352	134	36	at	at	ADP
bracis-28352	134	37	\(s_0\	\(s_0\	NOUN
bracis-28352	134	38	)	)	PUNCT
bracis-28352	134	39	,	,	PUNCT
bracis-28352	134	40	or	or	CCONJ
bracis-28352	134	41	some	some	DET
bracis-28352	134	42	linear	linear	ADJ
bracis-28352	134	43	combination	combination	NOUN
bracis-28352	134	44	of	of	ADP
bracis-28352	134	45	actions	action	NOUN
bracis-28352	134	46	a	a	PRON
bracis-28352	134	47	and	and	CCONJ
bracis-28352	134	48	b	b	NOUN
bracis-28352	134	49	that	that	PRON
bracis-28352	134	50	would	would	AUX
bracis-28352	134	51	yield	yield	VERB
bracis-28352	134	52	probability	probability	NOUN
bracis-28352	134	53	-	-	PUNCT
bracis-28352	134	54	to	to	ADP
bracis-28352	134	55	-	-	PUNCT
bracis-28352	134	56	goal	goal	NOUN
bracis-28352	134	57	of	of	ADP
bracis-28352	134	58	p	p	X
bracis-28352	134	59	,	,	PUNCT
bracis-28352	134	60	if	if	SCONJ
bracis-28352	134	61	the	the	DET
bracis-28352	134	62	mcmp	mcmp	NOUN
bracis-28352	134	63	cost	cost	NOUN
bracis-28352	134	64	of	of	ADP
bracis-28352	134	65	doing	do	VERB
bracis-28352	134	66	so	so	ADV
bracis-28352	134	67	is	be	AUX
bracis-28352	134	68	less	less	ADJ
bracis-28352	134	69	than	than	ADP
bracis-28352	134	70	always	always	ADV
bracis-28352	134	71	taking	take	VERB
bracis-28352	134	72	b.	b.	NOUN
bracis-28352	134	73	to	to	PART
bracis-28352	134	74	illustrate	illustrate	VERB
bracis-28352	134	75	this	this	PRON
bracis-28352	134	76	more	more	ADV
bracis-28352	134	77	concretely	concretely	ADV
bracis-28352	134	78	,	,	PUNCT
bracis-28352	134	79	consider	consider	VERB
bracis-28352	134	80	the	the	DET
bracis-28352	134	81	case	case	NOUN
bracis-28352	134	82	of	of	ADP
bracis-28352	134	83	\(p	\(p	PROPN
bracis-28352	134	84	=	=	SYM
bracis-28352	134	85	0.95\	0.95\	PROPN
bracis-28352	134	86	)	)	PUNCT
bracis-28352	134	87	,	,	PUNCT
bracis-28352	134	88	\(c_a	\(c_a	X
bracis-28352	134	89	=	=	SYM
bracis-28352	134	90	2\	2\	NUM
bracis-28352	134	91	)	)	PUNCT
bracis-28352	134	92	,	,	PUNCT
bracis-28352	134	93	and	and	CCONJ
bracis-28352	134	94	\(c_b	\(c_b	ADV
bracis-28352	134	95	=	=	SYM
bracis-28352	134	96	1\	1\	NUM
bracis-28352	134	97	)	)	PUNCT
bracis-28352	134	98	.	.	PUNCT
bracis-28352	135	1	if	if	SCONJ
bracis-28352	135	2	we	we	PRON
bracis-28352	135	3	replace	replace	VERB
bracis-28352	135	4	\(p_g(s_0)\	\(p_g(s_0)\	NOUN
bracis-28352	135	5	)	)	PUNCT
bracis-28352	135	6	in	in	ADP
bracis-28352	135	7	(	(	PUNCT
bracis-28352	135	8	c9	c9	NOUN
bracis-28352	135	9	)	)	PUNCT
bracis-28352	135	10	with	with	ADP
bracis-28352	135	11	\(p	\(p	PROPN
bracis-28352	135	12	=	=	SYM
bracis-28352	135	13	0.95\	0.95\	PROPN
bracis-28352	135	14	)	)	PUNCT
bracis-28352	135	15	,	,	PUNCT
bracis-28352	135	16	the	the	DET
bracis-28352	135	17	optimal	optimal	ADJ
bracis-28352	135	18	policy	policy	NOUN
bracis-28352	135	19	returned	return	VERB
bracis-28352	135	20	by	by	ADP
bracis-28352	135	21	lp2	lp2	PROPN
bracis-28352	135	22	always	always	ADV
bracis-28352	135	23	takes	take	VERB
bracis-28352	135	24	b	b	NOUN
bracis-28352	135	25	,	,	PUNCT
bracis-28352	135	26	yielding	yield	VERB
bracis-28352	135	27	an	an	DET
bracis-28352	135	28	expected	expected	ADJ
bracis-28352	135	29	cost	cost	NOUN
bracis-28352	135	30	of	of	ADP
bracis-28352	135	31	1	1	NUM
bracis-28352	135	32	.	.	PUNCT
bracis-28352	136	1	however	however	ADV
bracis-28352	136	2	,	,	PUNCT
bracis-28352	136	3	if	if	SCONJ
bracis-28352	136	4	we	we	PRON
bracis-28352	136	5	replace	replace	VERB
bracis-28352	136	6	\(p_g(s_0)\	\(p_g(s_0)\	NOUN
bracis-28352	136	7	)	)	PUNCT
bracis-28352	136	8	with	with	ADP
bracis-28352	136	9	0.98	0.98	NUM
bracis-28352	136	10	in	in	ADP
bracis-28352	136	11	(	(	PUNCT
bracis-28352	136	12	c6	c6	PROPN
bracis-28352	136	13	)	)	PUNCT
bracis-28352	136	14	instead	instead	ADV
bracis-28352	136	15	,	,	PUNCT
bracis-28352	136	16	the	the	DET
bracis-28352	136	17	optimal	optimal	ADJ
bracis-28352	136	18	policy	policy	NOUN
bracis-28352	136	19	returned	return	VERB
bracis-28352	136	20	in	in	ADP
bracis-28352	136	21	this	this	DET
bracis-28352	136	22	case	case	NOUN
bracis-28352	136	23	takes	take	VERB
bracis-28352	136	24	a	a	PRON
bracis-28352	136	25	with	with	ADP
bracis-28352	136	26	probability	probability	NOUN
bracis-28352	136	27	0.6	0.6	NUM
bracis-28352	136	28	and	and	CCONJ
bracis-28352	136	29	b	b	NOUN
bracis-28352	136	30	with	with	ADP
bracis-28352	136	31	probability	probability	NOUN
bracis-28352	136	32	0.4	0.4	NUM
bracis-28352	136	33	,	,	PUNCT
bracis-28352	136	34	leading	lead	VERB
bracis-28352	136	35	to	to	ADP
bracis-28352	136	36	an	an	DET
bracis-28352	136	37	expected	expect	VERB
bracis-28352	136	38	cost	cost	NOUN
bracis-28352	136	39	of	of	ADP
bracis-28352	136	40	\(0.6	\(0.6	ADJ
bracis-28352	136	41	\times	\times	ADP
bracis-28352	136	42	2	2	NUM
bracis-28352	136	43	+	+	CCONJ
bracis-28352	136	44	0.4	0.4	NUM
bracis-28352	136	45	\times	\time	NOUN
bracis-28352	136	46	1	1	NUM
bracis-28352	136	47	=	=	SYM
bracis-28352	136	48	1.6\	1.6\	NUM
bracis-28352	136	49	)	)	PUNCT
bracis-28352	136	50	and	and	CCONJ
bracis-28352	136	51	probability	probability	NOUN
bracis-28352	136	52	-	-	PUNCT
bracis-28352	136	53	to	to	ADP
bracis-28352	136	54	-	-	PUNCT
bracis-28352	136	55	goal	goal	NOUN
bracis-28352	136	56	\(0.6	\(0.6	X
bracis-28352	136	57	\times	\time	VERB
bracis-28352	136	58	1	1	NUM
bracis-28352	136	59	+	+	NOUN
bracis-28352	136	60	0.4\times	0.4\times	NUM
bracis-28352	136	61	0.95	0.95	NUM
bracis-28352	136	62	=	=	SYM
bracis-28352	136	63	0.98\	0.98\	PROPN
bracis-28352	136	64	)	)	PUNCT
bracis-28352	136	65	.	.	PUNCT
bracis-28352	137	1	note	note	VERB
bracis-28352	137	2	that	that	SCONJ
bracis-28352	137	3	,	,	PUNCT
bracis-28352	137	4	in	in	ADP
bracis-28352	137	5	this	this	DET
bracis-28352	137	6	case	case	NOUN
bracis-28352	137	7	,	,	PUNCT
bracis-28352	137	8	lp2	lp2	PROPN
bracis-28352	137	9	allows	allow	VERB
bracis-28352	137	10	for	for	ADP
bracis-28352	137	11	a	a	DET
bracis-28352	137	12	policy	policy	NOUN
bracis-28352	137	13	that	that	PRON
bracis-28352	137	14	,	,	PUNCT
bracis-28352	137	15	for	for	ADP
bracis-28352	137	16	example	example	NOUN
bracis-28352	137	17	,	,	PUNCT
bracis-28352	137	18	takes	take	VERB
bracis-28352	137	19	a	a	PRON
bracis-28352	137	20	with	with	ADP
bracis-28352	137	21	a	a	DET
bracis-28352	137	22	probability	probability	NOUN
bracis-28352	137	23	of	of	ADP
bracis-28352	137	24	0.98	0.98	NUM
bracis-28352	137	25	and	and	CCONJ
bracis-28352	137	26	takes	take	VERB
bracis-28352	137	27	the	the	DET
bracis-28352	137	28	implicit	implicit	ADJ
bracis-28352	137	29	give	give	VERB
bracis-28352	137	30	-	-	PUNCT
bracis-28352	137	31	up	up	ADP
bracis-28352	137	32	action	action	NOUN
bracis-28352	137	33	with	with	ADP
bracis-28352	137	34	a	a	DET
bracis-28352	137	35	probability	probability	NOUN
bracis-28352	137	36	of	of	ADP
bracis-28352	137	37	0.02	0.02	NUM
bracis-28352	137	38	.	.	PUNCT
bracis-28352	138	1	this	this	PRON
bracis-28352	138	2	also	also	ADV
bracis-28352	138	3	yields	yield	VERB
bracis-28352	138	4	a	a	DET
bracis-28352	138	5	probability	probability	NOUN
bracis-28352	138	6	-	-	PUNCT
bracis-28352	138	7	to	to	ADP
bracis-28352	138	8	-	-	PUNCT
bracis-28352	138	9	goal	goal	NOUN
bracis-28352	138	10	of	of	ADP
bracis-28352	138	11	0.98	0.98	NUM
bracis-28352	138	12	,	,	PUNCT
bracis-28352	138	13	thus	thus	ADV
bracis-28352	138	14	fulfilling	fulfil	VERB
bracis-28352	138	15	(	(	PUNCT
bracis-28352	138	16	c9	c9	NOUN
bracis-28352	138	17	)	)	PUNCT
bracis-28352	138	18	,	,	PUNCT
bracis-28352	138	19	but	but	CCONJ
bracis-28352	138	20	it	it	PRON
bracis-28352	138	21	is	be	AUX
bracis-28352	138	22	not	not	PART
bracis-28352	138	23	the	the	DET
bracis-28352	138	24	optimal	optimal	ADJ
bracis-28352	138	25	policy	policy	NOUN
bracis-28352	138	26	because	because	SCONJ
bracis-28352	138	27	its	its	PRON
bracis-28352	138	28	resulting	result	VERB
bracis-28352	138	29	expected	expect	VERB
bracis-28352	138	30	cost	cost	NOUN
bracis-28352	138	31	is	be	AUX
bracis-28352	138	32	\(0.98	\(0.98	VERB
bracis-28352	138	33	\times	\time	VERB
bracis-28352	138	34	2	2	NUM
bracis-28352	138	35	=	=	SYM
bracis-28352	138	36	1.96\	1.96\	NUM
bracis-28352	138	37	)	)	PUNCT
bracis-28352	138	38	,	,	PUNCT
bracis-28352	138	39	which	which	PRON
bracis-28352	138	40	is	be	AUX
bracis-28352	138	41	higher	high	ADJ
bracis-28352	138	42	than	than	ADP
bracis-28352	138	43	1.6	1.6	NUM
bracis-28352	138	44	.	.	PUNCT
bracis-28352	139	1	2.5	2.5	NUM
bracis-28352	139	2	goals	goal	NOUN
bracis-28352	139	3	with	with	ADP
bracis-28352	139	4	 	 	SPACE
bracis-28352	139	5	utility	utility	NOUN
bracis-28352	139	6	-	-	PUNCT
bracis-28352	139	7	based	base	VERB
bracis-28352	139	8	semantics	semantic	NOUN
bracis-28352	139	9	(	(	PUNCT
bracis-28352	139	10	gubs	gub	NOUN
bracis-28352	139	11	)	)	PUNCT
bracis-28352	139	12	the	the	DET
bracis-28352	139	13	goals	goal	NOUN
bracis-28352	139	14	with	with	ADP
bracis-28352	139	15	utility	utility	NOUN
bracis-28352	139	16	-	-	PUNCT
bracis-28352	139	17	based	base	VERB
bracis-28352	139	18	semantics	semantic	NOUN
bracis-28352	139	19	(	(	PUNCT
bracis-28352	139	20	gubs	gubs	ADJ
bracis-28352	139	21	)	)	PUNCT
bracis-28352	139	22	criterion	criterion	NOUN
bracis-28352	139	23	[	[	X
bracis-28352	139	24	4	4	NUM
bracis-28352	139	25	]	]	PUNCT
bracis-28352	139	26	was	be	AUX
bracis-28352	139	27	proposed	propose	VERB
bracis-28352	139	28	as	as	ADP
bracis-28352	139	29	an	an	DET
bracis-28352	139	30	alternative	alternative	ADJ
bracis-28352	139	31	method	method	NOUN
bracis-28352	139	32	for	for	ADP
bracis-28352	139	33	solving	solve	VERB
bracis-28352	139	34	ssps	ssp	VERB
bracis-28352	139	35	with	with	ADP
bracis-28352	139	36	unavoidable	unavoidable	ADJ
bracis-28352	139	37	dead	dead	ADJ
bracis-28352	139	38	ends	end	NOUN
bracis-28352	139	39	by	by	ADP
bracis-28352	139	40	combining	combine	VERB
bracis-28352	139	41	goal	goal	NOUN
bracis-28352	139	42	prioritization	prioritization	NOUN
bracis-28352	139	43	with	with	ADP
bracis-28352	139	44	expected	expect	VERB
bracis-28352	139	45	utility	utility	NOUN
bracis-28352	139	46	theory	theory	NOUN
bracis-28352	139	47	.	.	PUNCT
bracis-28352	140	1	it	it	PRON
bracis-28352	140	2	combines	combine	VERB
bracis-28352	140	3	these	these	DET
bracis-28352	140	4	two	two	NUM
bracis-28352	140	5	characteristics	characteristic	NOUN
bracis-28352	140	6	by	by	ADP
bracis-28352	140	7	its	its	PRON
bracis-28352	140	8	two	two	NUM
bracis-28352	140	9	parameters	parameter	NOUN
bracis-28352	140	10	:	:	PUNCT
bracis-28352	140	11	the	the	DET
bracis-28352	140	12	constant	constant	ADJ
bracis-28352	140	13	goal	goal	NOUN
bracis-28352	140	14	utility	utility	NOUN
bracis-28352	140	15	\(k_g\	\(k_g\	NOUN
bracis-28352	140	16	)	)	PUNCT
bracis-28352	140	17	,	,	PUNCT
bracis-28352	140	18	and	and	CCONJ
bracis-28352	140	19	the	the	DET
bracis-28352	140	20	utility	utility	NOUN
bracis-28352	140	21	function	function	NOUN
bracis-28352	140	22	over	over	ADP
bracis-28352	140	23	cost	cost	NOUN
bracis-28352	140	24	u	u	NOUN
bracis-28352	140	25	,	,	PUNCT
bracis-28352	140	26	respectively	respectively	ADV
bracis-28352	140	27	.	.	PUNCT
bracis-28352	141	1	definition	definition	NOUN
bracis-28352	141	2	3	3	NUM
bracis-28352	141	3	(	(	PUNCT
bracis-28352	141	4	gubs	gubs	ADJ
bracis-28352	141	5	criterion	criterion	NOUN
bracis-28352	141	6	[	[	X
bracis-28352	141	7	4	4	NUM
bracis-28352	141	8	]	]	NUM
bracis-28352	141	9	)	)	PUNCT
bracis-28352	141	10	.	.	PUNCT
bracis-28352	142	1	the	the	DET
bracis-28352	142	2	gubs	gubs	ADJ
bracis-28352	142	3	criterion	criterion	NOUN
bracis-28352	142	4	evaluates	evaluate	VERB
bracis-28352	142	5	a	a	DET
bracis-28352	142	6	history	history	NOUN
bracis-28352	142	7	by	by	ADP
bracis-28352	142	8	the	the	DET
bracis-28352	142	9	utility	utility	NOUN
bracis-28352	142	10	function	function	NOUN
bracis-28352	142	11	u	u	NOUN
bracis-28352	142	12	:	:	PUNCT
bracis-28352	142	13	$	$	SYM
bracis-28352	142	14	$	$	SYM
bracis-28352	142	15	\begin{aligned	\begin{aligne	VERB
bracis-28352	142	16	}	}	PUNCT
bracis-28352	142	17	u(c_t	u(c_t	PROPN
bracis-28352	142	18	,	,	PUNCT
bracis-28352	142	19	\beta	\beta	PROPN
bracis-28352	142	20	_	_	PROPN
bracis-28352	142	21	t	t	X
bracis-28352	142	22	)	)	PUNCT
bracis-28352	142	23	=	=	SYM
bracis-28352	142	24	u(c_t	u(c_t	PROPN
bracis-28352	142	25	)	)	PUNCT
bracis-28352	142	26	+	+	PUNCT
bracis-28352	143	1	k_g	k_g	X
bracis-28352	143	2	\beta	\beta	PROPN
bracis-28352	143	3	_	_	PROPN
bracis-28352	143	4	{	{	PUNCT
bracis-28352	143	5	t	t	NOUN
bracis-28352	143	6	}	}	PUNCT
bracis-28352	143	7	.	.	PUNCT
bracis-28352	144	1	\end{aligned}$$	\end{aligned}$$	PROPN
bracis-28352	144	2	(	(	PUNCT
bracis-28352	144	3	2	2	X
bracis-28352	144	4	)	)	PUNCT
bracis-28352	144	5	an	an	DET
bracis-28352	144	6	agent	agent	NOUN
bracis-28352	144	7	follows	follow	VERB
bracis-28352	144	8	the	the	DET
bracis-28352	144	9	gubs	gub	NOUN
bracis-28352	144	10	if	if	SCONJ
bracis-28352	144	11	she	she	PRON
bracis-28352	144	12	evaluates	evaluate	VERB
bracis-28352	144	13	a	a	DET
bracis-28352	144	14	policy	policy	NOUN
bracis-28352	144	15	\(\pi	\(\pi	ADP
bracis-28352	144	16	\	\	NOUN
bracis-28352	144	17	)	)	PUNCT
bracis-28352	144	18	under	under	ADP
bracis-28352	144	19	the	the	DET
bracis-28352	144	20	following	follow	VERB
bracis-28352	144	21	value	value	NOUN
bracis-28352	144	22	function	function	NOUN
bracis-28352	144	23	:	:	PUNCT
bracis-28352	144	24	$	$	SYM
bracis-28352	144	25	$	$	SYM
bracis-28352	144	26	\begin{aligned	\begin{aligne	VERB
bracis-28352	144	27	}	}	PUNCT
bracis-28352	144	28	v^\pi	v^\pi	NOUN
bracis-28352	144	29	_	_	NOUN
bracis-28352	144	30	{	{	PUNCT
bracis-28352	144	31	gubs}(s	gubs}(s	NOUN
bracis-28352	144	32	)	)	PUNCT
bracis-28352	144	33	=	=	VERB
bracis-28352	145	1	\lim	\lim	NOUN
bracis-28352	145	2	_	_	PRON
bracis-28352	145	3	{	{	PUNCT
bracis-28352	145	4	t\rightarrow	t\rightarrow	ADJ
bracis-28352	145	5	\infty	\infty	PROPN
bracis-28352	145	6	}	}	PUNCT
bracis-28352	145	7	\mathbb	\mathbb	PROPN
bracis-28352	145	8	{	{	PUNCT
bracis-28352	145	9	e}[u(c_t	e}[u(c_t	PROPN
bracis-28352	145	10	,	,	PUNCT
bracis-28352	145	11	\beta	\beta	PROPN
bracis-28352	145	12	_	_	PROPN
bracis-28352	145	13	t	t	X
bracis-28352	145	14	)	)	PUNCT
bracis-28352	145	15	|	|	ADV
bracis-28352	145	16	\pi	\pi	NOUN
bracis-28352	145	17	,	,	PUNCT
bracis-28352	145	18	s_0	s_0	PROPN
bracis-28352	145	19	=	=	SYM
bracis-28352	145	20	s	s	PART
bracis-28352	145	21	]	]	X
bracis-28352	145	22	.	.	PUNCT
bracis-28352	146	1	\end{aligned}$$	\end{aligned}$$	PROPN
bracis-28352	146	2	(	(	PUNCT
bracis-28352	146	3	3	3	X
bracis-28352	146	4	)	)	PUNCT
bracis-28352	146	5	a	a	DET
bracis-28352	146	6	policy	policy	NOUN
bracis-28352	146	7	\(\pi	\(\pi	PROPN
bracis-28352	146	8	^*\	^*\	X
bracis-28352	146	9	)	)	PUNCT
bracis-28352	146	10	is	be	AUX
bracis-28352	146	11	optimal	optimal	ADJ
bracis-28352	146	12	under	under	ADP
bracis-28352	146	13	the	the	DET
bracis-28352	146	14	gubs	gubs	ADJ
bracis-28352	146	15	criterion	criterion	NOUN
bracis-28352	146	16	if	if	SCONJ
bracis-28352	146	17	it	it	PRON
bracis-28352	146	18	maximizes	maximize	VERB
bracis-28352	146	19	the	the	DET
bracis-28352	146	20	function	function	NOUN
bracis-28352	146	21	\(v^{\pi	\(v^{\pi	NOUN
bracis-28352	146	22	}	}	PUNCT
bracis-28352	146	23	_	_	PUNCT
bracis-28352	146	24	{	{	PUNCT
bracis-28352	146	25	gubs}\	gubs}\	PROPN
bracis-28352	146	26	)	)	PUNCT
bracis-28352	146	27	,	,	PUNCT
bracis-28352	146	28	i.e.	i.e.	X
bracis-28352	146	29	:	:	PUNCT
bracis-28352	146	30	$	$	SYM
bracis-28352	146	31	$	$	SYM
bracis-28352	146	32	v^{\pi	v^{\pi	PROPN
bracis-28352	146	33	^{*}}_{gubs}(s	^{*}}_{gubs}(s	NOUN
bracis-28352	146	34	)	)	PUNCT
bracis-28352	146	35	\ge	\ge	PROPN
bracis-28352	146	36	v^{\pi	v^{\pi	NOUN
bracis-28352	146	37	}	}	PUNCT
bracis-28352	146	38	_	_	NOUN
bracis-28352	146	39	{	{	PUNCT
bracis-28352	146	40	gubs}(s)\quad	gubs}(s)\quad	X
bracis-28352	146	41	\forall	\forall	DET
bracis-28352	146	42	\pi	\pi	PROPN
bracis-28352	146	43	\in	\in	PROPN
bracis-28352	146	44	\pi	\pi	PROPN
bracis-28352	146	45	\text	\text	NOUN
bracis-28352	146	46	{	{	PUNCT
bracis-28352	146	47	e	e	NOUN
bracis-28352	146	48	}	}	PUNCT
bracis-28352	146	49	\forall	\forall	ADV
bracis-28352	146	50	s\in	s\in	VERB
bracis-28352	146	51	\mathcal	\mathcal	PROPN
bracis-28352	146	52	{	{	PUNCT
bracis-28352	146	53	s	s	PROPN
bracis-28352	146	54	}	}	PUNCT
bracis-28352	146	55	.	.	PUNCT
bracis-28352	147	1	$	$	SYM
bracis-28352	147	2	$	$	SYM
bracis-28352	147	3	the	the	DET
bracis-28352	147	4	gubs	gubs	ADJ
bracis-28352	147	5	criterion	criterion	NOUN
bracis-28352	147	6	is	be	AUX
bracis-28352	147	7	the	the	DET
bracis-28352	147	8	only	only	ADJ
bracis-28352	147	9	criterion	criterion	NOUN
bracis-28352	147	10	among	among	ADP
bracis-28352	147	11	all	all	DET
bracis-28352	147	12	other	other	ADJ
bracis-28352	147	13	mentioned	mention	VERB
bracis-28352	147	14	criteria	criterion	NOUN
bracis-28352	147	15	that	that	PRON
bracis-28352	147	16	guarantees	guarantee	VERB
bracis-28352	147	17	\(\alpha	\(\alpha	NOUN
bracis-28352	147	18	\)-strong	\)-strong	ADP
bracis-28352	147	19	probability	probability	NOUN
bracis-28352	147	20	-	-	PUNCT
bracis-28352	147	21	to	to	ADP
bracis-28352	147	22	-	-	PUNCT
bracis-28352	147	23	goal	goal	NOUN
bracis-28352	147	24	priority	priority	NOUN
bracis-28352	147	25	for	for	ADP
bracis-28352	147	26	any	any	DET
bracis-28352	147	27	value	value	NOUN
bracis-28352	147	28	\(0	\(0	PROPN
bracis-28352	147	29	\le	\le	PROPN
bracis-28352	147	30	\alpha	\alpha	PROPN
bracis-28352	147	31	\le	\le	PROPN
bracis-28352	147	32	1\	1\	NUM
bracis-28352	147	33	)	)	PUNCT
bracis-28352	147	34	.	.	PUNCT
bracis-28352	148	1	corollary	corollary	ADJ
bracis-28352	148	2	1	1	NUM
bracis-28352	148	3	(	(	PUNCT
bracis-28352	148	4	\(\alpha	\(\alpha	NOUN
bracis-28352	148	5	\	\	NOUN
bracis-28352	148	6	)	)	PUNCT
bracis-28352	149	1	-strong	-strong	ADJ
bracis-28352	149	2	probability	probability	NOUN
bracis-28352	149	3	-	-	PUNCT
bracis-28352	149	4	to	to	ADP
bracis-28352	149	5	-	-	PUNCT
bracis-28352	149	6	goal	goal	NOUN
bracis-28352	149	7	priority	priority	NOUN
bracis-28352	149	8	for	for	ADP
bracis-28352	149	9	gubs	gub	NOUN
bracis-28352	149	10	[	[	X
bracis-28352	149	11	2	2	NUM
bracis-28352	149	12	]	]	NUM
bracis-28352	149	13	)	)	PUNCT
bracis-28352	149	14	.	.	PUNCT
bracis-28352	150	1	for	for	ADP
bracis-28352	150	2	an	an	DET
bracis-28352	150	3	arbitrary	arbitrary	ADJ
bracis-28352	150	4	\(0	\(0	PROPN
bracis-28352	150	5	\le	\le	PROPN
bracis-28352	150	6	\alpha	\alpha	PROPN
bracis-28352	150	7	\le	\le	PROPN
bracis-28352	150	8	1\	1\	NUM
bracis-28352	150	9	)	)	PUNCT
bracis-28352	150	10	,	,	PUNCT
bracis-28352	150	11	the	the	DET
bracis-28352	150	12	gubs	gubs	ADJ
bracis-28352	150	13	criterion	criterion	NOUN
bracis-28352	150	14	has	have	VERB
bracis-28352	150	15	\(\alpha	\(\alpha	NOUN
bracis-28352	150	16	\)-strong	\)-strong	ADP
bracis-28352	150	17	probability	probability	NOUN
bracis-28352	150	18	-	-	PUNCT
bracis-28352	150	19	to	to	ADP
bracis-28352	150	20	-	-	PUNCT
bracis-28352	150	21	goal	goal	NOUN
bracis-28352	150	22	priority	priority	NOUN
bracis-28352	150	23	.	.	PUNCT
bracis-28352	151	1	for	for	ADP
bracis-28352	151	2	\(0	\(0	PROPN
bracis-28352	151	3	\le	\le	PROPN
bracis-28352	151	4	\alpha	\alpha	ADP
bracis-28352	151	5	<	<	X
bracis-28352	151	6	1\	1\	NUM
bracis-28352	151	7	)	)	PUNCT
bracis-28352	151	8	,	,	PUNCT
bracis-28352	151	9	the	the	DET
bracis-28352	151	10	property	property	NOUN
bracis-28352	151	11	is	be	AUX
bracis-28352	151	12	maintained	maintain	VERB
bracis-28352	151	13	if	if	SCONJ
bracis-28352	151	14	the	the	DET
bracis-28352	151	15	following	follow	VERB
bracis-28352	151	16	condition	condition	NOUN
bracis-28352	151	17	is	be	AUX
bracis-28352	151	18	true	true	ADJ
bracis-28352	151	19	:	:	PUNCT
bracis-28352	151	20	$	$	SYM
bracis-28352	151	21	$	$	SYM
bracis-28352	151	22	\begin{aligned	\begin{aligne	VERB
bracis-28352	151	23	}	}	PUNCT
bracis-28352	151	24	k_g	k_g	ADV
bracis-28352	151	25	\ge	\ge	PROPN
bracis-28352	151	26	\frac{(u_{max	\frac{(u_{max	ADJ
bracis-28352	151	27	}	}	PUNCT
bracis-28352	151	28	u_{min	u_{min	NOUN
bracis-28352	151	29	}	}	PUNCT
bracis-28352	151	30	)	)	PUNCT
bracis-28352	151	31	\alpha	\alpha	ADP
bracis-28352	151	32	}	}	PUNCT
bracis-28352	151	33	{	{	PUNCT
bracis-28352	151	34	1	1	NUM
bracis-28352	151	35	\alpha	\alpha	PROPN
bracis-28352	151	36	}	}	PUNCT
bracis-28352	151	37	,	,	PUNCT
bracis-28352	151	38	\end{aligned}$$	\end{aligned}$$	VERB
bracis-28352	151	39	such	such	ADJ
bracis-28352	151	40	that	that	SCONJ
bracis-28352	151	41	the	the	DET
bracis-28352	151	42	values	value	NOUN
bracis-28352	151	43	returned	return	VERB
bracis-28352	151	44	by	by	ADP
bracis-28352	151	45	u	u	NOUN
bracis-28352	151	46	are	be	AUX
bracis-28352	151	47	in	in	ADP
bracis-28352	151	48	the	the	DET
bracis-28352	151	49	set	set	VERB
bracis-28352	151	50	\([u_{min	\([u_{min	NOUN
bracis-28352	151	51	}	}	PUNCT
bracis-28352	151	52	,	,	PUNCT
bracis-28352	151	53	u_{max}]\	u_{max}]\	PROPN
bracis-28352	151	54	)	)	PUNCT
bracis-28352	151	55	.	.	PUNCT
bracis-28352	152	1	for	for	ADP
bracis-28352	152	2	\(\alpha	\(\alpha	NOUN
bracis-28352	152	3	=	=	SYM
bracis-28352	152	4	1\	1\	NUM
bracis-28352	152	5	)	)	PUNCT
bracis-28352	152	6	,	,	PUNCT
bracis-28352	152	7	this	this	DET
bracis-28352	152	8	property	property	NOUN
bracis-28352	152	9	is	be	AUX
bracis-28352	152	10	true	true	ADJ
bracis-28352	152	11	when	when	SCONJ
bracis-28352	152	12	\(u_{max	\(u_{max	NOUN
bracis-28352	152	13	}	}	PUNCT
bracis-28352	152	14	=	=	PUNCT
bracis-28352	152	15	u_{min}\	u_{min}\	PROPN
bracis-28352	152	16	)	)	PUNCT
bracis-28352	152	17	and	and	CCONJ
bracis-28352	152	18	\(k_g	\(k_g	PROPN
bracis-28352	152	19	>	>	X
bracis-28352	152	20	0\	0\	PROPN
bracis-28352	152	21	)	)	PUNCT
bracis-28352	152	22	.	.	PUNCT
bracis-28352	153	1	the	the	DET
bracis-28352	153	2	egubs	egub	NOUN
bracis-28352	153	3	criterion	criterion	NOUN
bracis-28352	153	4	[	[	X
bracis-28352	153	5	5	5	NUM
bracis-28352	153	6	]	]	PUNCT
bracis-28352	153	7	is	be	AUX
bracis-28352	153	8	a	a	DET
bracis-28352	153	9	specialization	specialization	NOUN
bracis-28352	153	10	of	of	ADP
bracis-28352	153	11	gubs	gub	NOUN
bracis-28352	153	12	,	,	PUNCT
bracis-28352	153	13	in	in	ADP
bracis-28352	153	14	which	which	PRON
bracis-28352	153	15	the	the	DET
bracis-28352	153	16	function	function	NOUN
bracis-28352	153	17	u	u	NOUN
bracis-28352	153	18	is	be	AUX
bracis-28352	153	19	an	an	DET
bracis-28352	153	20	exponential	exponential	ADJ
bracis-28352	153	21	function	function	NOUN
bracis-28352	153	22	taken	take	VERB
bracis-28352	153	23	from	from	ADP
bracis-28352	153	24	risk	risk	NOUN
bracis-28352	153	25	-	-	PUNCT
bracis-28352	153	26	sensitive	sensitive	ADJ
bracis-28352	153	27	ssps	ssps	NOUN
bracis-28352	154	1	[	[	X
bracis-28352	154	2	10	10	NUM
bracis-28352	154	3	]	]	PUNCT
bracis-28352	154	4	.	.	PUNCT
bracis-28352	155	1	definition	definition	NOUN
bracis-28352	155	2	4	4	NUM
bracis-28352	155	3	(	(	PUNCT
bracis-28352	155	4	egubs	egub	NOUN
bracis-28352	155	5	criterion	criterion	NOUN
bracis-28352	155	6	[	[	X
bracis-28352	155	7	2	2	NUM
bracis-28352	155	8	,	,	PUNCT
bracis-28352	155	9	5	5	NUM
bracis-28352	155	10	]	]	NUM
bracis-28352	155	11	)	)	PUNCT
bracis-28352	155	12	.	.	PUNCT
bracis-28352	156	1	the	the	DET
bracis-28352	156	2	egubs	egub	NOUN
bracis-28352	156	3	criterion	criterion	NOUN
bracis-28352	156	4	considers	consider	VERB
bracis-28352	156	5	the	the	DET
bracis-28352	156	6	gubs	gubs	ADJ
bracis-28352	156	7	criterion	criterion	NOUN
bracis-28352	156	8	where	where	SCONJ
bracis-28352	156	9	the	the	DET
bracis-28352	156	10	utility	utility	NOUN
bracis-28352	156	11	function	function	NOUN
bracis-28352	156	12	u	u	NOUN
bracis-28352	156	13	is	be	AUX
bracis-28352	156	14	defined	define	VERB
bracis-28352	156	15	as	as	SCONJ
bracis-28352	156	16	follows	follow	VERB
bracis-28352	156	17	:	:	PUNCT
bracis-28352	156	18	$	$	SYM
bracis-28352	156	19	$	$	SYM
bracis-28352	156	20	\begin{aligned	\begin{aligne	VERB
bracis-28352	156	21	}	}	PUNCT
bracis-28352	156	22	u(c_t	u(c_t	ADJ
bracis-28352	156	23	)	)	PUNCT
bracis-28352	156	24	=	=	SYM
bracis-28352	156	25	{	{	PUNCT
bracis-28352	156	26	\left\	\left\	PROPN
bracis-28352	156	27	{	{	PUNCT
bracis-28352	156	28	\begin{array}{ll	\begin{array}{ll	PROPN
bracis-28352	156	29	}	}	PUNCT
bracis-28352	156	30	0	0	NUM
bracis-28352	156	31	,	,	PUNCT
bracis-28352	156	32	\text	\text	ADP
bracis-28352	156	33	{	{	PUNCT
bracis-28352	156	34	if	if	SCONJ
bracis-28352	156	35	}	}	PUNCT
bracis-28352	156	36	c_t	c_t	PUNCT
bracis-28352	157	1	=	=	SYM
bracis-28352	157	2	\infty	\infty	PROPN
bracis-28352	157	3	\\	\\	NOUN
bracis-28352	157	4	e^{\lambda	e^{\lambda	VERB
bracis-28352	157	5	c_t	c_t	PRON
bracis-28352	157	6	}	}	PUNCT
bracis-28352	157	7	,	,	PUNCT
bracis-28352	157	8	\text	\text	ADP
bracis-28352	157	9	{	{	PUNCT
bracis-28352	157	10	otherwise	otherwise	ADV
bracis-28352	157	11	}	}	PUNCT
bracis-28352	157	12	,	,	PUNCT
bracis-28352	157	13	\end{array}\right	\end{array}\right	PROPN
bracis-28352	157	14	.	.	PUNCT
bracis-28352	157	15	}	}	PUNCT
bracis-28352	157	16	\end{aligned}$$	\end{aligned}$$	ADP
bracis-28352	157	17	over	over	ADP
bracis-28352	157	18	some	some	DET
bracis-28352	157	19	accumulated	accumulate	VERB
bracis-28352	157	20	cost	cost	NOUN
bracis-28352	157	21	\(c_t\	\(c_t\	NOUN
bracis-28352	157	22	)	)	PUNCT
bracis-28352	157	23	and	and	CCONJ
bracis-28352	157	24	a	a	DET
bracis-28352	157	25	risk	risk	NOUN
bracis-28352	157	26	factor	factor	NOUN
bracis-28352	157	27	\(\lambda	\(\lambda	NOUN
bracis-28352	157	28	<	<	X
bracis-28352	157	29	0\	0\	NUM
bracis-28352	157	30	)	)	PUNCT
bracis-28352	157	31	.	.	PUNCT
bracis-28352	158	1	in	in	ADP
bracis-28352	158	2	the	the	DET
bracis-28352	158	3	gubs	gubs	ADJ
bracis-28352	158	4	criterion	criterion	NOUN
bracis-28352	158	5	,	,	PUNCT
bracis-28352	158	6	generated	generate	VERB
bracis-28352	158	7	policies	policy	NOUN
bracis-28352	158	8	are	be	AUX
bracis-28352	158	9	non	non	ADJ
bracis-28352	158	10	-	-	ADJ
bracis-28352	158	11	markovian	markovian	ADJ
bracis-28352	158	12	,	,	PUNCT
bracis-28352	158	13	since	since	SCONJ
bracis-28352	158	14	they	they	PRON
bracis-28352	158	15	need	need	VERB
bracis-28352	158	16	to	to	PART
bracis-28352	158	17	have	have	VERB
bracis-28352	158	18	the	the	DET
bracis-28352	158	19	state	state	NOUN
bracis-28352	158	20	space	space	NOUN
bracis-28352	158	21	augmented	augment	VERB
bracis-28352	158	22	with	with	ADP
bracis-28352	158	23	the	the	DET
bracis-28352	158	24	accumulated	accumulate	VERB
bracis-28352	158	25	cost	cost	NOUN
bracis-28352	158	26	.	.	PUNCT
bracis-28352	159	1	from	from	ADP
bracis-28352	159	2	the	the	DET
bracis-28352	159	3	properties	property	NOUN
bracis-28352	159	4	of	of	ADP
bracis-28352	159	5	egubs	egub	NOUN
bracis-28352	159	6	,	,	PUNCT
bracis-28352	159	7	however	however	ADV
bracis-28352	159	8	,	,	PUNCT
bracis-28352	159	9	it	it	PRON
bracis-28352	159	10	is	be	AUX
bracis-28352	159	11	possible	possible	ADJ
bracis-28352	159	12	to	to	PART
bracis-28352	159	13	use	use	VERB
bracis-28352	159	14	algorithms	algorithm	NOUN
bracis-28352	159	15	that	that	PRON
bracis-28352	159	16	guarantee	guarantee	VERB
bracis-28352	159	17	that	that	SCONJ
bracis-28352	159	18	these	these	DET
bracis-28352	159	19	non	non	ADJ
bracis-28352	159	20	-	-	ADJ
bracis-28352	159	21	markovian	markovian	ADJ
bracis-28352	159	22	policies	policy	NOUN
bracis-28352	159	23	are	be	AUX
bracis-28352	159	24	finite	finite	ADJ
bracis-28352	159	25	,	,	PUNCT
bracis-28352	159	26	based	base	VERB
bracis-28352	159	27	on	on	ADP
bracis-28352	159	28	a	a	DET
bracis-28352	159	29	maximum	maximum	ADJ
bracis-28352	159	30	cost	cost	NOUN
bracis-28352	159	31	obtained	obtain	VERB
bracis-28352	159	32	from	from	ADP
bracis-28352	159	33	the	the	DET
bracis-28352	159	34	problem	problem	NOUN
bracis-28352	159	35	structure	structure	NOUN
bracis-28352	159	36	[	[	X
bracis-28352	159	37	5	5	NUM
bracis-28352	159	38	]	]	PUNCT
bracis-28352	159	39	.	.	PUNCT
bracis-28352	160	1	egubs	egub	NOUN
bracis-28352	160	2	-	-	PUNCT
bracis-28352	160	3	vi	vi	NOUN
bracis-28352	161	1	[	[	X
bracis-28352	161	2	5	5	NUM
bracis-28352	161	3	]	]	PUNCT
bracis-28352	161	4	is	be	AUX
bracis-28352	161	5	an	an	DET
bracis-28352	161	6	algorithm	algorithm	NOUN
bracis-28352	161	7	that	that	PRON
bracis-28352	161	8	does	do	VERB
bracis-28352	161	9	this	this	PRON
bracis-28352	161	10	by	by	ADP
bracis-28352	161	11	computing	compute	VERB
bracis-28352	161	12	an	an	DET
bracis-28352	161	13	optimal	optimal	ADJ
bracis-28352	161	14	policy	policy	NOUN
bracis-28352	161	15	under	under	ADP
bracis-28352	161	16	egubs	egub	NOUN
bracis-28352	161	17	completely	completely	ADV
bracis-28352	161	18	via	via	ADP
bracis-28352	161	19	value	value	NOUN
bracis-28352	161	20	iteration	iteration	NOUN
bracis-28352	161	21	,	,	PUNCT
bracis-28352	161	22	while	while	SCONJ
bracis-28352	161	23	egubs	egub	NOUN
bracis-28352	161	24	-	-	PUNCT
bracis-28352	161	25	ao	ao	NOUN
bracis-28352	161	26	*	*	PROPN
bracis-28352	162	1	[	[	X
bracis-28352	162	2	2	2	NUM
bracis-28352	162	3	]	]	PUNCT
bracis-28352	162	4	is	be	AUX
bracis-28352	162	5	another	another	DET
bracis-28352	162	6	algorithm	algorithm	NOUN
bracis-28352	162	7	that	that	PRON
bracis-28352	162	8	can	can	AUX
bracis-28352	162	9	compute	compute	VERB
bracis-28352	162	10	an	an	DET
bracis-28352	162	11	optimal	optimal	ADJ
bracis-28352	162	12	policy	policy	NOUN
bracis-28352	162	13	by	by	ADP
bracis-28352	162	14	using	use	VERB
bracis-28352	162	15	a	a	DET
bracis-28352	162	16	mix	mix	NOUN
bracis-28352	162	17	of	of	ADP
bracis-28352	162	18	value	value	NOUN
bracis-28352	162	19	iteration	iteration	NOUN
bracis-28352	162	20	and	and	CCONJ
bracis-28352	162	21	heuristic	heuristic	ADJ
bracis-28352	162	22	search	search	NOUN
bracis-28352	162	23	.	.	PUNCT
bracis-28352	163	1	also	also	ADV
bracis-28352	163	2	,	,	PUNCT
bracis-28352	163	3	since	since	SCONJ
bracis-28352	163	4	for	for	ADP
bracis-28352	163	5	egubs	egub	NOUN
bracis-28352	163	6	\(u_{min	\(u_{min	X
bracis-28352	163	7	}	}	PUNCT
bracis-28352	163	8	=	=	SYM
bracis-28352	163	9	0\	0\	PROPN
bracis-28352	163	10	)	)	PUNCT
bracis-28352	163	11	and	and	CCONJ
bracis-28352	163	12	\(u_{max	\(u_{max	PROPN
bracis-28352	163	13	}	}	PUNCT
bracis-28352	163	14	=	=	SYM
bracis-28352	163	15	1\	1\	NUM
bracis-28352	163	16	)	)	PUNCT
bracis-28352	163	17	,	,	PUNCT
bracis-28352	163	18	the	the	DET
bracis-28352	163	19	lower	lower	ADV
bracis-28352	163	20	bound	bind	VERB
bracis-28352	163	21	obtained	obtain	VERB
bracis-28352	163	22	in	in	ADP
bracis-28352	163	23	corollary	corollary	ADJ
bracis-28352	163	24	1	1	NUM
bracis-28352	163	25	can	can	AUX
bracis-28352	163	26	be	be	AUX
bracis-28352	163	27	restricted	restrict	VERB
bracis-28352	163	28	to	to	ADP
bracis-28352	163	29	\(k_g	\(k_g	PROPN
bracis-28352	163	30	\ge	\ge	PROPN
bracis-28352	163	31	\frac{\alpha	\frac{\alpha	PRON
bracis-28352	163	32	}	}	PUNCT
bracis-28352	163	33	{	{	PUNCT
bracis-28352	163	34	1	1	NUM
bracis-28352	163	35	\alpha	\alpha	ADJ
bracis-28352	163	36	}	}	PUNCT
bracis-28352	163	37	\	\	NOUN
bracis-28352	163	38	)	)	PUNCT
bracis-28352	164	1	[	[	X
bracis-28352	164	2	2	2	NUM
bracis-28352	164	3	]	]	PUNCT
bracis-28352	164	4	.	.	PUNCT
bracis-28352	164	5	3	3	NUM
bracis-28352	164	6	\(\alpha	\(\alpha	NOUN
bracis-28352	164	7	\)-mcmp	\)-mcmp	NUM
bracis-28352	164	8	criterion	criterion	NOUN
bracis-28352	164	9	in	in	ADP
bracis-28352	164	10	this	this	DET
bracis-28352	164	11	section	section	NOUN
bracis-28352	164	12	,	,	PUNCT
bracis-28352	164	13	we	we	PRON
bracis-28352	164	14	will	will	AUX
bracis-28352	164	15	show	show	VERB
bracis-28352	164	16	how	how	SCONJ
bracis-28352	164	17	to	to	PART
bracis-28352	164	18	define	define	VERB
bracis-28352	164	19	a	a	DET
bracis-28352	164	20	new	new	ADJ
bracis-28352	164	21	criterion	criterion	NOUN
bracis-28352	164	22	called	call	VERB
bracis-28352	164	23	\(\alpha	\(\alpha	NOUN
bracis-28352	164	24	\)-mcmp	\)-mcmp	NUM
bracis-28352	164	25	,	,	PUNCT
bracis-28352	164	26	which	which	PRON
bracis-28352	164	27	maintains	maintain	VERB
bracis-28352	164	28	the	the	DET
bracis-28352	164	29	\(\alpha	\(\alpha	NOUN
bracis-28352	164	30	\)-strong	\)-strong	ADP
bracis-28352	164	31	probability	probability	NOUN
bracis-28352	164	32	-	-	PUNCT
bracis-28352	164	33	to	to	ADP
bracis-28352	164	34	-	-	PUNCT
bracis-28352	164	35	goal	goal	NOUN
bracis-28352	164	36	priority	priority	NOUN
bracis-28352	164	37	by	by	ADP
bracis-28352	164	38	leveraging	leverage	VERB
bracis-28352	164	39	the	the	DET
bracis-28352	164	40	mcmp	mcmp	NOUN
bracis-28352	164	41	definition	definition	NOUN
bracis-28352	164	42	.	.	PUNCT
bracis-28352	165	1	mcmp	mcmp	PROPN
bracis-28352	165	2	is	be	AUX
bracis-28352	165	3	1	1	NUM
bracis-28352	165	4	-	-	PUNCT
bracis-28352	165	5	strong	strong	ADJ
bracis-28352	165	6	since	since	SCONJ
bracis-28352	165	7	it	it	PRON
bracis-28352	165	8	is	be	AUX
bracis-28352	165	9	a	a	DET
bracis-28352	165	10	criterion	criterion	NOUN
bracis-28352	165	11	that	that	PRON
bracis-28352	165	12	maximizes	maximize	VERB
bracis-28352	165	13	probability	probability	NOUN
bracis-28352	165	14	-	-	PUNCT
bracis-28352	165	15	to	to	ADP
bracis-28352	165	16	-	-	PUNCT
bracis-28352	165	17	goal	goal	NOUN
bracis-28352	165	18	.	.	PUNCT
bracis-28352	166	1	however	however	ADV
bracis-28352	166	2	,	,	PUNCT
bracis-28352	166	3	we	we	PRON
bracis-28352	166	4	can	can	AUX
bracis-28352	166	5	relax	relax	VERB
bracis-28352	166	6	the	the	DET
bracis-28352	166	7	lp	lp	ADJ
bracis-28352	166	8	definition	definition	NOUN
bracis-28352	166	9	of	of	ADP
bracis-28352	166	10	mcmp	mcmp	NOUN
bracis-28352	166	11	to	to	PART
bracis-28352	166	12	ensure	ensure	VERB
bracis-28352	166	13	it	it	PRON
bracis-28352	166	14	maintains	maintain	VERB
bracis-28352	166	15	the	the	DET
bracis-28352	166	16	\(\alpha	\(\alpha	NOUN
bracis-28352	166	17	\)-strong	\)-strong	ADP
bracis-28352	166	18	probability	probability	NOUN
bracis-28352	166	19	-	-	PUNCT
bracis-28352	166	20	to	to	ADP
bracis-28352	166	21	-	-	PUNCT
bracis-28352	166	22	goal	goal	NOUN
bracis-28352	166	23	priority	priority	NOUN
bracis-28352	166	24	for	for	ADP
bracis-28352	166	25	\(0	\(0	PROPN
bracis-28352	166	26	\le	\le	PROPN
bracis-28352	166	27	\alpha	\alpha	PROPN
bracis-28352	166	28	\le	\le	PROPN
bracis-28352	166	29	1\	1\	NUM
bracis-28352	166	30	)	)	PUNCT
bracis-28352	166	31	.	.	PUNCT
bracis-28352	167	1	this	this	PRON
bracis-28352	167	2	can	can	AUX
bracis-28352	167	3	be	be	AUX
bracis-28352	167	4	done	do	VERB
bracis-28352	167	5	by	by	ADP
bracis-28352	167	6	replacing	replace	VERB
bracis-28352	167	7	the	the	DET
bracis-28352	167	8	constraint	constraint	NOUN
bracis-28352	167	9	(	(	PUNCT
bracis-28352	167	10	c9	c9	NOUN
bracis-28352	167	11	)	)	PUNCT
bracis-28352	167	12	with	with	ADP
bracis-28352	167	13	a	a	DET
bracis-28352	167	14	new	new	ADJ
bracis-28352	167	15	constraint	constraint	NOUN
bracis-28352	167	16	(	(	PUNCT
bracis-28352	167	17	c10	c10	PROPN
bracis-28352	167	18	)	)	PUNCT
bracis-28352	167	19	,	,	PUNCT
bracis-28352	167	20	which	which	PRON
bracis-28352	167	21	instead	instead	ADV
bracis-28352	167	22	of	of	ADP
bracis-28352	167	23	making	make	VERB
bracis-28352	167	24	the	the	DET
bracis-28352	167	25	total	total	ADJ
bracis-28352	167	26	expected	expect	VERB
bracis-28352	167	27	flow	flow	NOUN
bracis-28352	167	28	entering	enter	VERB
bracis-28352	167	29	goal	goal	NOUN
bracis-28352	167	30	states	state	NOUN
bracis-28352	167	31	to	to	PART
bracis-28352	167	32	be	be	AUX
bracis-28352	167	33	equal	equal	ADJ
bracis-28352	167	34	to	to	ADP
bracis-28352	167	35	\(p_g(s_0)\	\(p_g(s_0)\	PROPN
bracis-28352	167	36	)	)	PUNCT
bracis-28352	167	37	(	(	PUNCT
bracis-28352	167	38	the	the	DET
bracis-28352	167	39	maximum	maximum	ADJ
bracis-28352	167	40	probability	probability	NOUN
bracis-28352	167	41	-	-	PUNCT
bracis-28352	167	42	to	to	ADP
bracis-28352	167	43	-	-	PUNCT
bracis-28352	167	44	goal	goal	NOUN
bracis-28352	167	45	)	)	PUNCT
bracis-28352	167	46	,	,	PUNCT
bracis-28352	167	47	it	it	PRON
bracis-28352	167	48	considers	consider	VERB
bracis-28352	167	49	this	this	DET
bracis-28352	167	50	flow	flow	NOUN
bracis-28352	167	51	as	as	ADP
bracis-28352	167	52	\(\alpha	\(\alpha	NOUN
bracis-28352	167	53	p_g(s_0)\	p_g(s_0)\	PROPN
bracis-28352	167	54	)	)	PUNCT
bracis-28352	167	55	.	.	PUNCT
bracis-28352	168	1	lp4	lp4	PROPN
bracis-28352	168	2	contains	contain	VERB
bracis-28352	168	3	the	the	DET
bracis-28352	168	4	modified	modify	VERB
bracis-28352	168	5	version	version	NOUN
bracis-28352	168	6	of	of	ADP
bracis-28352	168	7	lp2	lp2	PROPN
bracis-28352	168	8	:	:	PUNCT
bracis-28352	168	9	this	this	PRON
bracis-28352	168	10	generates	generate	VERB
bracis-28352	168	11	a	a	DET
bracis-28352	168	12	new	new	ADJ
bracis-28352	168	13	criterion	criterion	NOUN
bracis-28352	168	14	that	that	PRON
bracis-28352	168	15	minimizes	minimize	VERB
bracis-28352	168	16	a	a	DET
bracis-28352	168	17	similar	similar	ADJ
bracis-28352	168	18	yet	yet	CCONJ
bracis-28352	168	19	different	different	ADJ
bracis-28352	168	20	cost	cost	NOUN
bracis-28352	168	21	function	function	NOUN
bracis-28352	168	22	than	than	ADP
bracis-28352	168	23	mcmp	mcmp	PROPN
bracis-28352	168	24	.	.	PUNCT
bracis-28352	169	1	throughout	throughout	ADP
bracis-28352	169	2	this	this	DET
bracis-28352	169	3	work	work	NOUN
bracis-28352	169	4	,	,	PUNCT
bracis-28352	169	5	we	we	PRON
bracis-28352	169	6	refer	refer	VERB
bracis-28352	169	7	to	to	ADP
bracis-28352	169	8	this	this	DET
bracis-28352	169	9	modified	modify	VERB
bracis-28352	169	10	version	version	NOUN
bracis-28352	169	11	of	of	ADP
bracis-28352	169	12	mcmp	mcmp	NOUN
bracis-28352	169	13	as	as	ADP
bracis-28352	169	14	\(\alpha	\(\alpha	NOUN
bracis-28352	169	15	\)-mcmp	\)-mcmp	NUM
bracis-28352	169	16	.	.	PUNCT
bracis-28352	170	1	it	it	PRON
bracis-28352	170	2	can	can	AUX
bracis-28352	170	3	be	be	AUX
bracis-28352	170	4	formally	formally	ADV
bracis-28352	170	5	defined	define	VERB
bracis-28352	170	6	as	as	ADP
bracis-28352	170	7	the	the	DET
bracis-28352	170	8	following	following	NOUN
bracis-28352	170	9	:	:	PUNCT
bracis-28352	170	10	definition	definition	NOUN
bracis-28352	170	11	5	5	NUM
bracis-28352	170	12	given	give	VERB
bracis-28352	170	13	a	a	DET
bracis-28352	170	14	value	value	NOUN
bracis-28352	170	15	of	of	ADP
bracis-28352	170	16	\(0	\(0	PROPN
bracis-28352	170	17	\le	\le	PROPN
bracis-28352	170	18	\alpha	\alpha	PROPN
bracis-28352	170	19	\le	\le	PROPN
bracis-28352	170	20	1\	1\	NUM
bracis-28352	170	21	)	)	PUNCT
bracis-28352	170	22	,	,	PUNCT
bracis-28352	170	23	a	a	DET
bracis-28352	170	24	policy	policy	NOUN
bracis-28352	170	25	\(\pi	\(\pi	NOUN
bracis-28352	170	26	^*_{\alpha	^*_{\alpha	NOUN
bracis-28352	170	27	mcmp}\	mcmp}\	PROPN
bracis-28352	170	28	)	)	PUNCT
bracis-28352	170	29	is	be	AUX
bracis-28352	170	30	optimal	optimal	ADJ
bracis-28352	170	31	under	under	ADP
bracis-28352	170	32	the	the	DET
bracis-28352	170	33	\(\alpha	\(\alpha	NOUN
bracis-28352	170	34	\)-mcmp	\)-mcmp	NOUN
bracis-28352	170	35	criterion	criterion	NOUN
bracis-28352	170	36	if	if	SCONJ
bracis-28352	170	37	it	it	PRON
bracis-28352	170	38	minimizes	minimize	VERB
bracis-28352	170	39	\(\bar{c}_{mcmp}\	\(\bar{c}_{mcmp}\	NOUN
bracis-28352	170	40	)	)	PUNCT
bracis-28352	170	41	given	give	VERB
bracis-28352	170	42	policies	policy	NOUN
bracis-28352	170	43	with	with	ADP
bracis-28352	170	44	probability	probability	NOUN
bracis-28352	170	45	-	-	PUNCT
bracis-28352	170	46	to	to	ADP
bracis-28352	170	47	-	-	PUNCT
bracis-28352	170	48	goal	goal	NOUN
bracis-28352	170	49	equal	equal	ADJ
bracis-28352	170	50	to	to	ADP
bracis-28352	170	51	\(\alpha	\(\alpha	X
bracis-28352	170	52	p_g(s_0)\	p_g(s_0)\	ADJ
bracis-28352	170	53	):	):	PUNCT
bracis-28352	171	1	$	$	SYM
bracis-28352	171	2	$	$	SYM
bracis-28352	171	3	\begin{aligned	\begin{aligne	VERB
bracis-28352	171	4	}	}	PUNCT
bracis-28352	171	5	\pi	\pi	PROPN
bracis-28352	171	6	^*_{\alpha	^*_{\alpha	NUM
bracis-28352	171	7	mcmp	mcmp	NOUN
bracis-28352	171	8	}	}	PUNCT
bracis-28352	171	9	=	=	NOUN
bracis-28352	171	10	\min	\min	NOUN
bracis-28352	171	11	_	_	PUNCT
bracis-28352	171	12	{	{	PUNCT
bracis-28352	171	13	\pi	\pi	PROPN
bracis-28352	171	14	\in	\in	PROPN
bracis-28352	171	15	\pi	\pi	NOUN
bracis-28352	171	16	_	_	PUNCT
bracis-28352	171	17	{	{	PUNCT
bracis-28352	171	18	\alpha	\alpha	PROPN
bracis-28352	171	19	mp	mp	NOUN
bracis-28352	171	20	}	}	PUNCT
bracis-28352	171	21	}	}	PUNCT
bracis-28352	171	22	\bar{c}_{mcmp}^\pi	\bar{c}_{mcmp}^\pi	NOUN
bracis-28352	171	23	(	(	PUNCT
bracis-28352	171	24	s_0	s_0	PROPN
bracis-28352	171	25	)	)	PUNCT
bracis-28352	171	26	,	,	PUNCT
bracis-28352	171	27	\end{aligned}$$	\end{aligned}$$	ADP
bracis-28352	171	28	for	for	ADP
bracis-28352	171	29	\(\pi	\(\pi	PROPN
bracis-28352	171	30	_	_	PUNCT
bracis-28352	171	31	{	{	PUNCT
bracis-28352	171	32	\alpha	\alpha	PROPN
bracis-28352	171	33	mp	mp	NOUN
bracis-28352	171	34	}	}	PUNCT
bracis-28352	171	35	=	=	PUNCT
bracis-28352	171	36	\{\pi	\{\pi	ADJ
bracis-28352	171	37	\mid	\mid	ADP
bracis-28352	171	38	p^\pi	p^\pi	PROPN
bracis-28352	171	39	_	_	PUNCT
bracis-28352	171	40	g(s_0	g(s_0	ADJ
bracis-28352	171	41	)	)	PUNCT
bracis-28352	171	42	=	=	PUNCT
bracis-28352	171	43	\alpha	\alpha	ADP
bracis-28352	171	44	p_g(s_0)\}\	p_g(s_0)\}\	NOUN
bracis-28352	171	45	)	)	PUNCT
bracis-28352	171	46	.	.	PUNCT
bracis-28352	172	1	the	the	DET
bracis-28352	172	2	following	follow	VERB
bracis-28352	172	3	theorem	theorem	NOUN
bracis-28352	172	4	demonstrates	demonstrate	VERB
bracis-28352	172	5	that	that	SCONJ
bracis-28352	172	6	\(\alpha	\(\alpha	ADV
bracis-28352	172	7	\)-mcmp	\)-mcmp	PRON
bracis-28352	172	8	thus	thus	ADV
bracis-28352	172	9	maintains	maintain	VERB
bracis-28352	172	10	\(\alpha	\(\alpha	NOUN
bracis-28352	172	11	\)-strong	\)-strong	NOUN
bracis-28352	172	12	priority	priority	NOUN
bracis-28352	172	13	for	for	ADP
bracis-28352	172	14	any	any	DET
bracis-28352	172	15	\(0\le	\(0\le	PROPN
bracis-28352	172	16	\alpha	\alpha	PROPN
bracis-28352	172	17	\le	\le	PROPN
bracis-28352	172	18	1\	1\	NUM
bracis-28352	172	19	)	)	PUNCT
bracis-28352	172	20	.	.	PUNCT
bracis-28352	173	1	theorem	theorem	ADJ
bracis-28352	173	2	1	1	NUM
bracis-28352	173	3	(	(	PUNCT
bracis-28352	173	4	\(\alpha	\(\alpha	NOUN
bracis-28352	173	5	\	\	NOUN
bracis-28352	173	6	)	)	PUNCT
bracis-28352	174	1	-strong	-strong	ADJ
bracis-28352	174	2	probability	probability	NOUN
bracis-28352	174	3	-	-	PUNCT
bracis-28352	174	4	to	to	ADP
bracis-28352	174	5	-	-	PUNCT
bracis-28352	174	6	goal	goal	NOUN
bracis-28352	174	7	priority	priority	NOUN
bracis-28352	174	8	for	for	ADP
bracis-28352	174	9	\(\alpha	\(\alpha	NOUN
bracis-28352	174	10	\	\	NOUN
bracis-28352	174	11	)	)	PUNCT
bracis-28352	174	12	-mcmp	-mcmp	NOUN
bracis-28352	174	13	)	)	PUNCT
bracis-28352	174	14	.	.	PUNCT
bracis-28352	175	1	the	the	DET
bracis-28352	175	2	\(\alpha	\(\alpha	NOUN
bracis-28352	175	3	\)-mcmp	\)-mcmp	NUM
bracis-28352	175	4	criterion	criterion	NOUN
bracis-28352	175	5	has	have	VERB
bracis-28352	175	6	\(\alpha	\(\alpha	NOUN
bracis-28352	175	7	\)-strong	\)-strong	ADP
bracis-28352	175	8	probability	probability	NOUN
bracis-28352	175	9	-	-	PUNCT
bracis-28352	175	10	to	to	ADP
bracis-28352	175	11	-	-	PUNCT
bracis-28352	175	12	goal	goal	NOUN
bracis-28352	175	13	priority	priority	NOUN
bracis-28352	175	14	for	for	ADP
bracis-28352	175	15	any	any	DET
bracis-28352	175	16	value	value	NOUN
bracis-28352	175	17	\(0	\(0	PROPN
bracis-28352	175	18	\le	\le	PROPN
bracis-28352	175	19	\alpha	\alpha	PROPN
bracis-28352	175	20	\le	\le	PROPN
bracis-28352	175	21	1\	1\	NUM
bracis-28352	175	22	)	)	PUNCT
bracis-28352	175	23	.	.	PUNCT
bracis-28352	176	1	proof	proof	NOUN
bracis-28352	176	2	by	by	ADP
bracis-28352	176	3	replacing	replace	VERB
bracis-28352	176	4	(	(	PUNCT
bracis-28352	176	5	c9	c9	NOUN
bracis-28352	176	6	)	)	PUNCT
bracis-28352	176	7	with	with	ADP
bracis-28352	176	8	the	the	DET
bracis-28352	176	9	constraint	constraint	NOUN
bracis-28352	176	10	\(\sum	\(\sum	PUNCT
bracis-28352	177	1	\limits	\limit	VERB
bracis-28352	177	2	_	_	PRON
bracis-28352	177	3	{	{	PUNCT
bracis-28352	177	4	s_g\in	s_g\in	PROPN
bracis-28352	177	5	\mathcal	\mathcal	PROPN
bracis-28352	177	6	{	{	PUNCT
bracis-28352	177	7	g}}in(s_g	g}}in(s_g	NOUN
bracis-28352	177	8	)	)	PUNCT
bracis-28352	177	9	\ge	\ge	PROPN
bracis-28352	177	10	\alpha	\alpha	ADJ
bracis-28352	177	11	p_g(s_0)\	p_g(s_0)\	PROPN
bracis-28352	177	12	)	)	PUNCT
bracis-28352	177	13	,	,	PUNCT
bracis-28352	177	14	the	the	DET
bracis-28352	177	15	condition	condition	NOUN
bracis-28352	177	16	\(\pi	\(\pi	ADP
bracis-28352	177	17	^*\succeq	^*\succeq	NOUN
bracis-28352	177	18	\pi	\pi	PROPN
bracis-28352	177	19	\implies	\implies	PROPN
bracis-28352	177	20	\frac{p^{\pi	\frac{p^{\pi	PROPN
bracis-28352	177	21	^*}_g(s_0)}{p^{\pi	^*}_g(s_0)}{p^{\pi	PUNCT
bracis-28352	177	22	}	}	PUNCT
bracis-28352	177	23	_	_	PUNCT
bracis-28352	177	24	g(s_0)}\ge	g(s_0)}\ge	X
bracis-28352	177	25	\alpha	\alpha	ADP
bracis-28352	177	26	\	\	PROPN
bracis-28352	177	27	)	)	PUNCT
bracis-28352	177	28	from	from	ADP
bracis-28352	177	29	definition	definition	NOUN
bracis-28352	177	30	2	2	NUM
bracis-28352	177	31	holds	hold	NOUN
bracis-28352	177	32	,	,	PUNCT
bracis-28352	177	33	in	in	ADP
bracis-28352	177	34	which	which	PRON
bracis-28352	177	35	\(\pi	\(\pi	PROPN
bracis-28352	177	36	^*\	^*\	X
bracis-28352	177	37	)	)	PUNCT
bracis-28352	177	38	is	be	AUX
bracis-28352	177	39	the	the	DET
bracis-28352	177	40	optimal	optimal	ADJ
bracis-28352	177	41	policy	policy	NOUN
bracis-28352	177	42	generated	generate	VERB
bracis-28352	177	43	by	by	ADP
bracis-28352	177	44	lp2	lp2	PROPN
bracis-28352	177	45	and	and	CCONJ
bracis-28352	177	46	\(\pi	\(\pi	ADP
bracis-28352	177	47	\	\	NOUN
bracis-28352	177	48	)	)	PUNCT
bracis-28352	178	1	is	be	AUX
bracis-28352	178	2	any	any	DET
bracis-28352	178	3	other	other	ADJ
bracis-28352	178	4	policy	policy	NOUN
bracis-28352	178	5	.	.	PUNCT
bracis-28352	179	1	consider	consider	VERB
bracis-28352	179	2	an	an	DET
bracis-28352	179	3	arbitrary	arbitrary	ADJ
bracis-28352	179	4	policy	policy	NOUN
bracis-28352	179	5	\(\pi	\(\pi	ADP
bracis-28352	179	6	'	'	PUNCT
bracis-28352	179	7	\	\	NOUN
bracis-28352	179	8	)	)	PUNCT
bracis-28352	179	9	and	and	CCONJ
bracis-28352	179	10	let	let	VERB
bracis-28352	179	11	\(\pi	\(\pi	PROPN
bracis-28352	179	12	\	\	NOUN
bracis-28352	179	13	)	)	PUNCT
bracis-28352	179	14	be	be	AUX
bracis-28352	179	15	defined	define	VERB
bracis-28352	179	16	as	as	ADP
bracis-28352	179	17	the	the	DET
bracis-28352	179	18	policy	policy	NOUN
bracis-28352	179	19	that	that	PRON
bracis-28352	179	20	follows	follow	VERB
bracis-28352	179	21	\(\pi	\(\pi	NOUN
bracis-28352	179	22	'	'	PUNCT
bracis-28352	179	23	\	\	NOUN
bracis-28352	179	24	)	)	PUNCT
bracis-28352	179	25	with	with	ADP
bracis-28352	179	26	probability	probability	NOUN
bracis-28352	179	27	\(\frac{\alpha	\(\frac{\alpha	NOUN
bracis-28352	179	28	p_g(s_0)}{p^{\pi	p_g(s_0)}{p^{\pi	NOUN
bracis-28352	179	29	'	'	CCONJ
bracis-28352	179	30	}	}	PUNCT
bracis-28352	179	31	_	_	PUNCT
bracis-28352	179	32	g(s_0)}\	g(s_0)}\	NOUN
bracis-28352	179	33	)	)	PUNCT
bracis-28352	179	34	and	and	CCONJ
bracis-28352	179	35	gives	give	VERB
bracis-28352	179	36	up	up	ADP
bracis-28352	179	37	with	with	ADP
bracis-28352	179	38	probability	probability	NOUN
bracis-28352	179	39	\(1	\(1	PROPN
bracis-28352	179	40	\frac{\alpha	\frac{\alpha	VERB
bracis-28352	179	41	p_g(s_0)}{p^{\pi	p_g(s_0)}{p^{\pi	NOUN
bracis-28352	179	42	'	'	NUM
bracis-28352	179	43	}	}	PUNCT
bracis-28352	179	44	_	_	PUNCT
bracis-28352	179	45	g(s_0)}\	g(s_0)}\	NOUN
bracis-28352	179	46	)	)	PUNCT
bracis-28352	179	47	.	.	PUNCT
bracis-28352	180	1	the	the	DET
bracis-28352	180	2	probability	probability	NOUN
bracis-28352	180	3	-	-	PUNCT
bracis-28352	180	4	to	to	ADP
bracis-28352	180	5	-	-	PUNCT
bracis-28352	180	6	goal	goal	NOUN
bracis-28352	180	7	value	value	NOUN
bracis-28352	180	8	of	of	ADP
bracis-28352	180	9	\(\pi	\(\pi	NOUN
bracis-28352	180	10	\	\	NOUN
bracis-28352	180	11	)	)	PUNCT
bracis-28352	180	12	is	be	AUX
bracis-28352	180	13	\(p^{\pi	\(p^{\pi	NOUN
bracis-28352	180	14	}	}	PUNCT
bracis-28352	180	15	_	_	PUNCT
bracis-28352	180	16	g(s_0	g(s_0	PROPN
bracis-28352	180	17	)	)	PUNCT
bracis-28352	181	1	=	=	PRON
bracis-28352	181	2	\frac{\alpha	\frac{\alpha	VERB
bracis-28352	181	3	p_g(s_0)}{p^{\pi	p_g(s_0)}{p^{\pi	NOUN
bracis-28352	181	4	'	'	PUNCT
bracis-28352	181	5	}	}	PUNCT
bracis-28352	181	6	_	_	PRON
bracis-28352	181	7	g(s_0)}p^{\pi	g(s_0)}p^{\pi	ADP
bracis-28352	181	8	'	'	PUNCT
bracis-28352	181	9	}	}	PUNCT
bracis-28352	181	10	_	_	PUNCT
bracis-28352	182	1	g(s_0	g(s_0	PROPN
bracis-28352	182	2	)	)	PUNCT
bracis-28352	183	1	+	+	CCONJ
bracis-28352	183	2	(	(	PUNCT
bracis-28352	183	3	1	1	NUM
bracis-28352	183	4	\frac{\alpha	\frac{\alpha	VERB
bracis-28352	183	5	p_g(s_0)}{p^{\pi	p_g(s_0)}{p^{\pi	NOUN
bracis-28352	183	6	'	'	NUM
bracis-28352	183	7	}	}	PUNCT
bracis-28352	183	8	_	_	PUNCT
bracis-28352	184	1	g(s_0)})\times	g(s_0)})\time	NOUN
bracis-28352	184	2	0	0	NUM
bracis-28352	185	1	=	=	PUNCT
bracis-28352	185	2	\alpha	\alpha	ADP
bracis-28352	185	3	p_g(s_0)\	p_g(s_0)\	PROPN
bracis-28352	185	4	)	)	PUNCT
bracis-28352	185	5	.	.	PUNCT
bracis-28352	186	1	it	it	PRON
bracis-28352	186	2	then	then	ADV
bracis-28352	186	3	follows	follow	VERB
bracis-28352	186	4	that	that	PRON
bracis-28352	186	5	\(\pi	\(\pi	PROPN
bracis-28352	186	6	\	\	NOUN
bracis-28352	186	7	)	)	PUNCT
bracis-28352	186	8	is	be	AUX
bracis-28352	186	9	at	at	ADV
bracis-28352	186	10	least	least	ADJ
bracis-28352	186	11	as	as	ADV
bracis-28352	186	12	good	good	ADJ
bracis-28352	186	13	as	as	ADP
bracis-28352	186	14	\(\pi	\(\pi	PROPN
bracis-28352	186	15	'	'	CCONJ
bracis-28352	186	16	\	\	NOUN
bracis-28352	186	17	)	)	PUNCT
bracis-28352	186	18	,	,	PUNCT
bracis-28352	186	19	because	because	SCONJ
bracis-28352	186	20	\(\bar{c}^{\pi	\(\bar{c}^{\pi	ADJ
bracis-28352	186	21	}	}	PUNCT
bracis-28352	186	22	_	_	PUNCT
bracis-28352	186	23	{	{	PUNCT
bracis-28352	186	24	mcmp}(s_0	mcmp}(s_0	PROPN
bracis-28352	186	25	)	)	PUNCT
bracis-28352	186	26	=	=	SYM
bracis-28352	186	27	\alpha	\alpha	ADP
bracis-28352	186	28	p_g(s_0	p_g(s_0	NOUN
bracis-28352	186	29	)	)	PUNCT
bracis-28352	186	30	\bar{c}^{\pi	\bar{c}^{\pi	PROPN
bracis-28352	186	31	'	'	PART
bracis-28352	186	32	}	}	PUNCT
bracis-28352	186	33	_	_	PRON
bracis-28352	186	34	{	{	PUNCT
bracis-28352	186	35	mcmp}(s_0	mcmp}(s_0	NOUN
bracis-28352	186	36	)	)	PUNCT
bracis-28352	186	37	\le	\le	PROPN
bracis-28352	186	38	\bar{c}^{\pi	\bar{c}^{\pi	NOUN
bracis-28352	186	39	'	'	PART
bracis-28352	186	40	}	}	PUNCT
bracis-28352	186	41	_	_	PRON
bracis-28352	186	42	{	{	PUNCT
bracis-28352	186	43	mcmp}(s_0)\	mcmp}(s_0)\	ADJ
bracis-28352	186	44	)	)	PUNCT
bracis-28352	186	45	.	.	PUNCT
bracis-28352	187	1	thus	thus	ADV
bracis-28352	187	2	,	,	PUNCT
bracis-28352	187	3	a	a	DET
bracis-28352	187	4	policy	policy	NOUN
bracis-28352	187	5	with	with	ADP
bracis-28352	187	6	probability	probability	NOUN
bracis-28352	187	7	-	-	PUNCT
bracis-28352	187	8	to	to	ADP
bracis-28352	187	9	-	-	PUNCT
bracis-28352	187	10	goal	goal	NOUN
bracis-28352	187	11	\(\alpha	\(\alpha	X
bracis-28352	187	12	p_g(s_0)\	p_g(s_0)\	PROPN
bracis-28352	187	13	)	)	PUNCT
bracis-28352	187	14	will	will	AUX
bracis-28352	187	15	always	always	ADV
bracis-28352	187	16	be	be	AUX
bracis-28352	187	17	as	as	ADV
bracis-28352	187	18	good	good	ADJ
bracis-28352	187	19	as	as	ADP
bracis-28352	187	20	any	any	DET
bracis-28352	187	21	policy	policy	NOUN
bracis-28352	187	22	with	with	ADP
bracis-28352	187	23	probability	probability	NOUN
bracis-28352	187	24	-	-	PUNCT
bracis-28352	187	25	to	to	ADP
bracis-28352	187	26	-	-	PUNCT
bracis-28352	187	27	goal	goal	NOUN
bracis-28352	187	28	higher	high	ADJ
bracis-28352	187	29	than	than	ADP
bracis-28352	187	30	\(\alpha	\(\alpha	NOUN
bracis-28352	187	31	p_g(s_0)\	p_g(s_0)\	ADJ
bracis-28352	187	32	)	)	PUNCT
bracis-28352	187	33	when	when	SCONJ
bracis-28352	187	34	the	the	DET
bracis-28352	187	35	constraint	constraint	NOUN
bracis-28352	187	36	\(\sum	\(\sum	PUNCT
bracis-28352	188	1	\limits	\limit	VERB
bracis-28352	188	2	_	_	PRON
bracis-28352	188	3	{	{	PUNCT
bracis-28352	188	4	s_g\in	s_g\in	PROPN
bracis-28352	188	5	\mathcal	\mathcal	PROPN
bracis-28352	188	6	{	{	PUNCT
bracis-28352	188	7	g}}in(s_g	g}}in(s_g	NOUN
bracis-28352	188	8	)	)	PUNCT
bracis-28352	188	9	\ge	\ge	PROPN
bracis-28352	188	10	\alpha	\alpha	ADJ
bracis-28352	188	11	p_g(s_0)\	p_g(s_0)\	NOUN
bracis-28352	188	12	)	)	PUNCT
bracis-28352	188	13	is	be	AUX
bracis-28352	188	14	used	use	VERB
bracis-28352	188	15	.	.	PUNCT
bracis-28352	189	1	this	this	PRON
bracis-28352	189	2	means	mean	VERB
bracis-28352	189	3	that	that	SCONJ
bracis-28352	189	4	using	use	VERB
bracis-28352	189	5	the	the	DET
bracis-28352	189	6	constraint	constraint	NOUN
bracis-28352	189	7	\(\sum	\(\sum	PUNCT
bracis-28352	190	1	\limits	\limit	VERB
bracis-28352	190	2	_	_	PRON
bracis-28352	190	3	{	{	PUNCT
bracis-28352	190	4	s_g\in	s_g\in	PROPN
bracis-28352	190	5	\mathcal	\mathcal	PROPN
bracis-28352	190	6	{	{	PUNCT
bracis-28352	190	7	g}}in(s_g	g}}in(s_g	NOUN
bracis-28352	190	8	)	)	PUNCT
bracis-28352	190	9	=	=	PUNCT
bracis-28352	190	10	\alpha	\alpha	ADP
bracis-28352	190	11	p_g(s_0)\	p_g(s_0)\	PROPN
bracis-28352	190	12	)	)	PUNCT
bracis-28352	190	13	(	(	PUNCT
bracis-28352	190	14	c10	c10	PROPN
bracis-28352	190	15	)	)	PUNCT
bracis-28352	190	16	is	be	AUX
bracis-28352	190	17	equivalent	equivalent	ADJ
bracis-28352	190	18	to	to	ADP
bracis-28352	190	19	using	use	VERB
bracis-28352	190	20	\(\sum	\(\sum	NOUN
bracis-28352	190	21	\limits	\limit	VERB
bracis-28352	190	22	_	_	PRON
bracis-28352	190	23	{	{	PUNCT
bracis-28352	190	24	s_g\in	s_g\in	PROPN
bracis-28352	190	25	\mathcal	\mathcal	PROPN
bracis-28352	190	26	{	{	PUNCT
bracis-28352	190	27	g}}in(s_g	g}}in(s_g	NOUN
bracis-28352	190	28	)	)	PUNCT
bracis-28352	190	29	\ge	\ge	PROPN
bracis-28352	190	30	\alpha	\alpha	ADJ
bracis-28352	190	31	p_g(s_0)\	p_g(s_0)\	NOUN
bracis-28352	190	32	)	)	PUNCT
bracis-28352	190	33	.	.	PUNCT
bracis-28352	191	1	since	since	SCONJ
bracis-28352	191	2	the	the	DET
bracis-28352	191	3	restriction	restriction	NOUN
bracis-28352	191	4	\(\sum	\(\sum	VERB
bracis-28352	191	5	\limits	\limit	NOUN
bracis-28352	191	6	_	_	PRON
bracis-28352	191	7	{	{	PUNCT
bracis-28352	191	8	s_g\in	s_g\in	PROPN
bracis-28352	191	9	\mathcal	\mathcal	PROPN
bracis-28352	191	10	{	{	PUNCT
bracis-28352	191	11	g}}in(s_g	g}}in(s_g	NOUN
bracis-28352	191	12	)	)	PUNCT
bracis-28352	191	13	\ge	\ge	PROPN
bracis-28352	191	14	\alpha	\alpha	ADJ
bracis-28352	191	15	p_g(s_0)\	p_g(s_0)\	NOUN
bracis-28352	191	16	)	)	PUNCT
bracis-28352	191	17	maintains	maintain	VERB
bracis-28352	191	18	the	the	DET
bracis-28352	191	19	\(\alpha	\(\alpha	NOUN
bracis-28352	191	20	\)-strong	\)-strong	ADP
bracis-28352	191	21	probability	probability	NOUN
bracis-28352	191	22	-	-	PUNCT
bracis-28352	191	23	to	to	ADP
bracis-28352	191	24	-	-	PUNCT
bracis-28352	191	25	goal	goal	NOUN
bracis-28352	191	26	priority	priority	NOUN
bracis-28352	191	27	property	property	NOUN
bracis-28352	191	28	for	for	ADP
bracis-28352	191	29	\(0\le	\(0\le	DET
bracis-28352	191	30	\alpha	\alpha	PROPN
bracis-28352	191	31	\le	\le	PROPN
bracis-28352	191	32	1\	1\	NUM
bracis-28352	191	33	)	)	PUNCT
bracis-28352	191	34	and	and	CCONJ
bracis-28352	191	35	(	(	PUNCT
bracis-28352	191	36	c10	c10	PROPN
bracis-28352	191	37	)	)	PUNCT
bracis-28352	191	38	is	be	AUX
bracis-28352	191	39	equivalent	equivalent	ADJ
bracis-28352	191	40	to	to	ADP
bracis-28352	191	41	using	use	VERB
bracis-28352	191	42	it	it	PRON
bracis-28352	191	43	,	,	PUNCT
bracis-28352	191	44	the	the	DET
bracis-28352	191	45	\(\alpha	\(\alpha	NOUN
bracis-28352	191	46	\)-mcmp	\)-mcmp	NUM
bracis-28352	191	47	criterion	criterion	NOUN
bracis-28352	191	48	maintains	maintain	VERB
bracis-28352	191	49	the	the	DET
bracis-28352	191	50	\(\alpha	\(\alpha	NOUN
bracis-28352	191	51	\)-strong	\)-strong	ADP
bracis-28352	191	52	probability	probability	NOUN
bracis-28352	191	53	-	-	PUNCT
bracis-28352	191	54	to	to	ADP
bracis-28352	191	55	-	-	PUNCT
bracis-28352	191	56	goal	goal	NOUN
bracis-28352	191	57	priority	priority	NOUN
bracis-28352	191	58	property	property	NOUN
bracis-28352	191	59	for	for	ADP
bracis-28352	191	60	\(0\le	\(0\le	DET
bracis-28352	191	61	\alpha	\alpha	PROPN
bracis-28352	191	62	\le	\le	PROPN
bracis-28352	191	63	1\	1\	NUM
bracis-28352	191	64	)	)	PUNCT
bracis-28352	191	65	.	.	PUNCT
bracis-28352	192	1	   	   	SPACE
bracis-28352	192	2	\(\square	\(\square	VERB
bracis-28352	192	3	\	\	NOUN
bracis-28352	192	4	)	)	PUNCT
bracis-28352	192	5	3.1	3.1	NUM
bracis-28352	192	6	relationship	relationship	NOUN
bracis-28352	192	7	between	between	ADP
bracis-28352	192	8	\(\alpha	\(\alpha	NOUN
bracis-28352	192	9	\)-mcmp	\)-mcmp	NOUN
bracis-28352	192	10	and	and	CCONJ
bracis-28352	192	11	 	 	SPACE
bracis-28352	192	12	gubs	gub	NOUN
bracis-28352	192	13	by	by	ADP
bracis-28352	192	14	defining	define	VERB
bracis-28352	192	15	\(\alpha	\(\alpha	NOUN
bracis-28352	192	16	\)-mcmp	\)-mcmp	PRON
bracis-28352	192	17	,	,	PUNCT
bracis-28352	192	18	we	we	PRON
bracis-28352	192	19	now	now	ADV
bracis-28352	192	20	have	have	VERB
bracis-28352	192	21	a	a	DET
bracis-28352	192	22	criterion	criterion	NOUN
bracis-28352	192	23	that	that	PRON
bracis-28352	192	24	maintains	maintain	VERB
bracis-28352	192	25	the	the	DET
bracis-28352	192	26	\(\alpha	\(\alpha	NOUN
bracis-28352	192	27	\)-strong	\)-strong	ADP
bracis-28352	192	28	probability	probability	NOUN
bracis-28352	192	29	-	-	PUNCT
bracis-28352	192	30	to	to	ADP
bracis-28352	192	31	-	-	PUNCT
bracis-28352	192	32	goal	goal	NOUN
bracis-28352	192	33	priority	priority	NOUN
bracis-28352	192	34	property	property	NOUN
bracis-28352	192	35	for	for	ADP
bracis-28352	192	36	\(0	\(0	PROPN
bracis-28352	192	37	\le	\le	PROPN
bracis-28352	192	38	\alpha	\alpha	PROPN
bracis-28352	192	39	\le	\le	PROPN
bracis-28352	192	40	1\	1\	NUM
bracis-28352	192	41	)	)	PUNCT
bracis-28352	192	42	like	like	ADP
bracis-28352	192	43	gubs	gub	NOUN
bracis-28352	192	44	,	,	PUNCT
bracis-28352	192	45	but	but	CCONJ
bracis-28352	192	46	with	with	ADP
bracis-28352	192	47	the	the	DET
bracis-28352	192	48	advantages	advantage	NOUN
bracis-28352	192	49	of	of	ADP
bracis-28352	192	50	generating	generate	VERB
bracis-28352	192	51	a	a	DET
bracis-28352	192	52	markovian	markovian	ADJ
bracis-28352	192	53	policy	policy	NOUN
bracis-28352	192	54	and	and	CCONJ
bracis-28352	192	55	having	have	VERB
bracis-28352	192	56	efficient	efficient	ADJ
bracis-28352	192	57	solutions	solution	NOUN
bracis-28352	192	58	inherited	inherit	VERB
bracis-28352	192	59	from	from	ADP
bracis-28352	192	60	mcmp	mcmp	PROPN
bracis-28352	192	61	.	.	PUNCT
bracis-28352	193	1	although	although	SCONJ
bracis-28352	193	2	both	both	DET
bracis-28352	193	3	criteria	criterion	NOUN
bracis-28352	193	4	maintain	maintain	VERB
bracis-28352	193	5	the	the	DET
bracis-28352	193	6	\(\alpha	\(\alpha	NOUN
bracis-28352	193	7	\)-strong	\)-strong	NOUN
bracis-28352	193	8	priority	priority	NOUN
bracis-28352	193	9	for	for	ADP
bracis-28352	193	10	\(0\le	\(0\le	DET
bracis-28352	193	11	\alpha	\alpha	PROPN
bracis-28352	193	12	\le	\le	PROPN
bracis-28352	193	13	1\	1\	NUM
bracis-28352	193	14	)	)	PUNCT
bracis-28352	193	15	,	,	PUNCT
bracis-28352	193	16	the	the	DET
bracis-28352	193	17	probability	probability	NOUN
bracis-28352	193	18	-	-	PUNCT
bracis-28352	193	19	to	to	ADP
bracis-28352	193	20	-	-	PUNCT
bracis-28352	193	21	goal	goal	NOUN
bracis-28352	193	22	of	of	ADP
bracis-28352	193	23	optimal	optimal	ADJ
bracis-28352	193	24	policies	policy	NOUN
bracis-28352	193	25	in	in	ADP
bracis-28352	193	26	\(\alpha	\(\alpha	NOUN
bracis-28352	193	27	\)-mcmp	\)-mcmp	PRON
bracis-28352	193	28	will	will	AUX
bracis-28352	193	29	always	always	ADV
bracis-28352	193	30	equal	equal	VERB
bracis-28352	193	31	\(\alpha	\(\alpha	NOUN
bracis-28352	193	32	p_g(s_0)\	p_g(s_0)\	ADJ
bracis-28352	193	33	)	)	PUNCT
bracis-28352	193	34	.	.	PUNCT
bracis-28352	194	1	in	in	ADP
bracis-28352	194	2	the	the	DET
bracis-28352	194	3	gubs	gubs	ADJ
bracis-28352	194	4	criterion	criterion	NOUN
bracis-28352	194	5	,	,	PUNCT
bracis-28352	194	6	when	when	SCONJ
bracis-28352	194	7	choosing	choose	VERB
bracis-28352	194	8	a	a	DET
bracis-28352	194	9	value	value	NOUN
bracis-28352	194	10	of	of	ADP
bracis-28352	194	11	\(k_g\	\(k_g\	NOUN
bracis-28352	194	12	)	)	PUNCT
bracis-28352	194	13	by	by	ADP
bracis-28352	194	14	following	follow	VERB
bracis-28352	194	15	corollary	corollary	ADJ
bracis-28352	194	16	1	1	NUM
bracis-28352	194	17	,	,	PUNCT
bracis-28352	194	18	its	its	PRON
bracis-28352	194	19	resulting	result	VERB
bracis-28352	194	20	policy	policy	NOUN
bracis-28352	194	21	will	will	AUX
bracis-28352	194	22	not	not	PART
bracis-28352	194	23	necessarily	necessarily	ADV
bracis-28352	194	24	have	have	VERB
bracis-28352	194	25	a	a	DET
bracis-28352	194	26	fixed	fix	VERB
bracis-28352	194	27	probability	probability	NOUN
bracis-28352	194	28	-	-	PUNCT
bracis-28352	194	29	to	to	ADP
bracis-28352	194	30	-	-	PUNCT
bracis-28352	194	31	goal	goal	NOUN
bracis-28352	194	32	value	value	NOUN
bracis-28352	194	33	of	of	ADP
bracis-28352	194	34	\(\alpha	\(\alpha	NOUN
bracis-28352	194	35	p_g(s_0)\	p_g(s_0)\	ADJ
bracis-28352	194	36	)	)	PUNCT
bracis-28352	194	37	.	.	PUNCT
bracis-28352	195	1	this	this	DET
bracis-28352	195	2	value	value	NOUN
bracis-28352	195	3	can	can	AUX
bracis-28352	195	4	instead	instead	ADV
bracis-28352	195	5	be	be	AUX
bracis-28352	195	6	higher	high	ADJ
bracis-28352	195	7	than	than	ADP
bracis-28352	195	8	\(\alpha	\(\alpha	NOUN
bracis-28352	195	9	p_g(s_0)\	p_g(s_0)\	ADJ
bracis-28352	195	10	)	)	PUNCT
bracis-28352	195	11	,	,	PUNCT
bracis-28352	195	12	if	if	SCONJ
bracis-28352	195	13	a	a	DET
bracis-28352	195	14	deterministic	deterministic	ADJ
bracis-28352	195	15	policy	policy	NOUN
bracis-28352	195	16	with	with	ADP
bracis-28352	195	17	such	such	DET
bracis-28352	195	18	a	a	DET
bracis-28352	195	19	value	value	NOUN
bracis-28352	195	20	exists	exist	VERB
bracis-28352	195	21	and	and	CCONJ
bracis-28352	195	22	if	if	SCONJ
bracis-28352	195	23	the	the	DET
bracis-28352	195	24	chosen	choose	VERB
bracis-28352	195	25	utility	utility	NOUN
bracis-28352	195	26	function	function	NOUN
bracis-28352	195	27	allows	allow	VERB
bracis-28352	195	28	for	for	ADP
bracis-28352	195	29	that	that	PRON
bracis-28352	195	30	.	.	PUNCT
bracis-28352	196	1	for	for	ADP
bracis-28352	196	2	example	example	NOUN
bracis-28352	196	3	,	,	PUNCT
bracis-28352	196	4	consider	consider	VERB
bracis-28352	196	5	the	the	DET
bracis-28352	196	6	egubs	egub	NOUN
bracis-28352	196	7	criterion	criterion	NOUN
bracis-28352	196	8	and	and	CCONJ
bracis-28352	196	9	a	a	DET
bracis-28352	196	10	value	value	NOUN
bracis-28352	196	11	of	of	ADP
bracis-28352	196	12	\(\alpha	\(\alpha	NOUN
bracis-28352	196	13	=	=	SYM
bracis-28352	196	14	0.95\	0.95\	PROPN
bracis-28352	196	15	)	)	PUNCT
bracis-28352	196	16	.	.	PUNCT
bracis-28352	197	1	from	from	ADP
bracis-28352	197	2	corollary	corollary	ADJ
bracis-28352	197	3	1	1	NUM
bracis-28352	197	4	,	,	PUNCT
bracis-28352	197	5	a	a	DET
bracis-28352	197	6	value	value	NOUN
bracis-28352	197	7	of	of	ADP
bracis-28352	197	8	\(k_g	\(k_g	ADJ
bracis-28352	197	9	\ge	\ge	PROPN
bracis-28352	197	10	\frac{0.95}{0.05	\frac{0.95}{0.05	NOUN
bracis-28352	197	11	}	}	PUNCT
bracis-28352	197	12	=	=	SYM
bracis-28352	197	13	19\	19\	X
bracis-28352	197	14	)	)	PUNCT
bracis-28352	197	15	guarantees	guarantee	VERB
bracis-28352	197	16	that	that	SCONJ
bracis-28352	197	17	egubs	egub	NOUN
bracis-28352	197	18	is	be	AUX
bracis-28352	197	19	0.95	0.95	NUM
bracis-28352	197	20	-	-	PUNCT
bracis-28352	197	21	strong	strong	ADJ
bracis-28352	197	22	.	.	PUNCT
bracis-28352	198	1	also	also	ADV
bracis-28352	198	2	,	,	PUNCT
bracis-28352	198	3	consider	consider	VERB
bracis-28352	198	4	the	the	DET
bracis-28352	198	5	example	example	NOUN
bracis-28352	198	6	in	in	ADP
bracis-28352	198	7	fig	fig	NOUN
bracis-28352	198	8	.	.	PUNCT
bracis-28352	198	9	 	 	SPACE
bracis-28352	199	1	1	1	NUM
bracis-28352	199	2	,	,	PUNCT
bracis-28352	199	3	such	such	ADJ
bracis-28352	199	4	that	that	SCONJ
bracis-28352	199	5	\(p	\(p	PROPN
bracis-28352	199	6	=	=	SYM
bracis-28352	199	7	0.95\	0.95\	PROPN
bracis-28352	199	8	)	)	PUNCT
bracis-28352	199	9	and	and	CCONJ
bracis-28352	199	10	the	the	DET
bracis-28352	199	11	cost	cost	NOUN
bracis-28352	199	12	\(c_a\	\(c_a\	NOUN
bracis-28352	199	13	)	)	PUNCT
bracis-28352	199	14	is	be	AUX
bracis-28352	199	15	larger	large	ADJ
bracis-28352	199	16	than	than	ADP
bracis-28352	199	17	\(c_b\	\(c_b\	NOUN
bracis-28352	199	18	)	)	PUNCT
bracis-28352	199	19	by	by	ADP
bracis-28352	199	20	a	a	DET
bracis-28352	199	21	margin	margin	NOUN
bracis-28352	199	22	of	of	ADP
bracis-28352	199	23	\(\delta	\(\delta	NOUN
bracis-28352	199	24	\	\	NOUN
bracis-28352	199	25	)	)	PUNCT
bracis-28352	199	26	,	,	PUNCT
bracis-28352	199	27	i.e.	i.e.	X
bracis-28352	199	28	,	,	PUNCT
bracis-28352	199	29	\(c_a	\(c_a	X
bracis-28352	199	30	=	=	SYM
bracis-28352	199	31	c_b	c_b	PROPN
bracis-28352	200	1	+	+	NUM
bracis-28352	200	2	\delta	\delta	PROPN
bracis-28352	200	3	\	\	PROPN
bracis-28352	200	4	)	)	PUNCT
bracis-28352	200	5	,	,	PUNCT
bracis-28352	200	6	for	for	ADP
bracis-28352	200	7	\(\delta	\(\delta	NOUN
bracis-28352	200	8	>	>	X
bracis-28352	200	9	0\	0\	PROPN
bracis-28352	200	10	)	)	PUNCT
bracis-28352	200	11	.	.	PUNCT
bracis-28352	201	1	under	under	ADP
bracis-28352	201	2	this	this	DET
bracis-28352	201	3	setting	setting	NOUN
bracis-28352	201	4	,	,	PUNCT
bracis-28352	201	5	egubs	egub	NOUN
bracis-28352	201	6	can	can	AUX
bracis-28352	201	7	choose	choose	VERB
bracis-28352	201	8	a	a	PRON
bracis-28352	201	9	as	as	ADP
bracis-28352	201	10	the	the	DET
bracis-28352	201	11	optimal	optimal	ADJ
bracis-28352	201	12	action	action	NOUN
bracis-28352	201	13	at	at	ADP
bracis-28352	201	14	\(s_0\	\(s_0\	PROPN
bracis-28352	201	15	)	)	PUNCT
bracis-28352	201	16	if	if	SCONJ
bracis-28352	201	17	the	the	DET
bracis-28352	201	18	expected	expect	VERB
bracis-28352	201	19	utility	utility	NOUN
bracis-28352	201	20	when	when	SCONJ
bracis-28352	201	21	following	follow	VERB
bracis-28352	201	22	it	it	PRON
bracis-28352	201	23	is	be	AUX
bracis-28352	201	24	greater	great	ADJ
bracis-28352	201	25	than	than	ADP
bracis-28352	201	26	the	the	DET
bracis-28352	201	27	one	one	NOUN
bracis-28352	201	28	when	when	SCONJ
bracis-28352	201	29	following	follow	VERB
bracis-28352	201	30	b	b	NUM
bracis-28352	201	31	,	,	PUNCT
bracis-28352	201	32	i.e.	i.e.	X
bracis-28352	201	33	,	,	PUNCT
bracis-28352	201	34	\(u(c_a	\(u(c_a	PRON
bracis-28352	201	35	)	)	PUNCT
bracis-28352	202	1	+	+	CCONJ
bracis-28352	203	1	k_g	k_g	NOUN
bracis-28352	203	2	>	>	PUNCT
bracis-28352	203	3	0.95	0.95	NUM
bracis-28352	203	4	(	(	PUNCT
bracis-28352	203	5	u(c_b	u(c_b	PROPN
bracis-28352	203	6	)	)	PUNCT
bracis-28352	203	7	+	+	CCONJ
bracis-28352	203	8	k_g	k_g	X
bracis-28352	203	9	)	)	PUNCT
bracis-28352	204	1	+	+	CCONJ
bracis-28352	204	2	0.05	0.05	NUM
bracis-28352	204	3	u(\infty	u(\infty	ADJ
bracis-28352	204	4	)	)	PUNCT
bracis-28352	204	5	\	\	NOUN
bracis-28352	204	6	)	)	PUNCT
bracis-28352	204	7	.	.	PUNCT
bracis-28352	205	1	considering	consider	VERB
bracis-28352	205	2	\(k_g	\(k_g	PROPN
bracis-28352	205	3	=	=	SYM
bracis-28352	205	4	20	20	NUM
bracis-28352	205	5	\ge	\ge	PROPN
bracis-28352	205	6	19\	19\	NUM
bracis-28352	205	7	):	):	PUNCT
bracis-28352	205	8	$	$	SYM
bracis-28352	205	9	$	$	SYM
bracis-28352	205	10	\begin{aligned	\begin{aligne	VERB
bracis-28352	205	11	}	}	PUNCT
bracis-28352	205	12	u(c_a	u(c_a	NOUN
bracis-28352	205	13	)	)	PUNCT
bracis-28352	205	14	+	+	CCONJ
bracis-28352	205	15	20	20	NUM
bracis-28352	205	16	&	&	CCONJ
bracis-28352	205	17	>	>	X
bracis-28352	205	18	0.95	0.95	NUM
bracis-28352	205	19	(	(	PUNCT
bracis-28352	205	20	u(c_b	u(c_b	PROPN
bracis-28352	205	21	)	)	PUNCT
bracis-28352	205	22	+	+	NUM
bracis-28352	205	23	20	20	NUM
bracis-28352	205	24	)	)	PUNCT
bracis-28352	206	1	+	+	CCONJ
bracis-28352	206	2	0.05	0.05	NUM
bracis-28352	206	3	u(\infty	u(\infty	ADJ
bracis-28352	206	4	)	)	PUNCT
bracis-28352	206	5	\\	\\	NOUN
bracis-28352	206	6	e^{\lambda	e^{\lambda	VERB
bracis-28352	206	7	c_a	c_a	PUNCT
bracis-28352	206	8	}	}	PUNCT
bracis-28352	207	1	+	+	NUM
bracis-28352	207	2	20	20	NUM
bracis-28352	207	3	&	&	CCONJ
bracis-28352	207	4	>	>	NOUN
bracis-28352	207	5	0.95	0.95	NUM
bracis-28352	207	6	e^{\lambda	e^{\lambda	PROPN
bracis-28352	207	7	c_b	c_b	PROPN
bracis-28352	207	8	}	}	PUNCT
bracis-28352	207	9	+	+	CCONJ
bracis-28352	207	10	0.95	0.95	NUM
bracis-28352	207	11	\times	\time	NOUN
bracis-28352	207	12	20\\	20\\	NUM
bracis-28352	207	13	e^{\lambda	e^{\lambda	NOUN
bracis-28352	207	14	c_a	c_a	SYM
bracis-28352	207	15	}	}	PUNCT
bracis-28352	207	16	0.95	0.95	NUM
bracis-28352	207	17	e^{\lambda	e^{\lambda	PROPN
bracis-28352	207	18	c_b	c_b	PROPN
bracis-28352	207	19	}	}	PUNCT
bracis-28352	207	20	&	&	CCONJ
bracis-28352	207	21	>	>	X
bracis-28352	207	22	0.95	0.95	NUM
bracis-28352	207	23	\times	\time	NOUN
bracis-28352	207	24	20	20	NUM
bracis-28352	207	25	20\\	20\\	NUM
bracis-28352	207	26	e^{\lambda	e^{\lambda	NOUN
bracis-28352	207	27	c_a	c_a	SYM
bracis-28352	207	28	}	}	PUNCT
bracis-28352	207	29	0.95	0.95	NUM
bracis-28352	207	30	e^{\lambda	e^{\lambda	PROPN
bracis-28352	207	31	c_b	c_b	PROPN
bracis-28352	207	32	}	}	PUNCT
bracis-28352	207	33	&	&	CCONJ
bracis-28352	207	34	>	>	X
bracis-28352	207	35	-1	-1	X
bracis-28352	207	36	\end{aligned}$$	\end{aligned}$$	X
bracis-28352	207	37	thus	thus	ADV
bracis-28352	207	38	,	,	PUNCT
bracis-28352	207	39	for	for	ADP
bracis-28352	207	40	values	value	NOUN
bracis-28352	207	41	of	of	ADP
bracis-28352	207	42	\(\lambda	\(\lambda	NOUN
bracis-28352	207	43	\	\	NOUN
bracis-28352	207	44	)	)	PUNCT
bracis-28352	207	45	,	,	PUNCT
bracis-28352	207	46	\(c_a\	\(c_a\	NOUN
bracis-28352	207	47	)	)	PUNCT
bracis-28352	207	48	,	,	PUNCT
bracis-28352	207	49	and	and	CCONJ
bracis-28352	207	50	\(c_b\	\(c_b\	NOUN
bracis-28352	207	51	)	)	PUNCT
bracis-28352	207	52	such	such	ADJ
bracis-28352	207	53	that	that	SCONJ
bracis-28352	207	54	\(e^{\lambda	\(e^{\lambda	NOUN
bracis-28352	207	55	c_a	c_a	SYM
bracis-28352	207	56	}	}	PUNCT
bracis-28352	207	57	0.95	0.95	NUM
bracis-28352	207	58	e^{\lambda	e^{\lambda	PROPN
bracis-28352	207	59	c_b	c_b	PROPN
bracis-28352	207	60	}	}	PUNCT
bracis-28352	207	61	>	>	X
bracis-28352	207	62	-1\	-1\	PROPN
bracis-28352	207	63	)	)	PUNCT
bracis-28352	207	64	,	,	PUNCT
bracis-28352	207	65	action	action	NOUN
bracis-28352	207	66	a	a	PRON
bracis-28352	207	67	will	will	AUX
bracis-28352	207	68	be	be	AUX
bracis-28352	207	69	optimal	optimal	ADJ
bracis-28352	207	70	.	.	PUNCT
bracis-28352	208	1	for	for	ADP
bracis-28352	208	2	instance	instance	NOUN
bracis-28352	208	3	,	,	PUNCT
bracis-28352	208	4	if	if	SCONJ
bracis-28352	208	5	\(\delta	\(\delta	NOUN
bracis-28352	208	6	=	=	SYM
bracis-28352	208	7	1\	1\	NUM
bracis-28352	208	8	)	)	PUNCT
bracis-28352	208	9	,	,	PUNCT
bracis-28352	208	10	\(\lambda	\(\lambda	NOUN
bracis-28352	208	11	=	=	SYM
bracis-28352	208	12	-0.1\	-0.1\	PUNCT
bracis-28352	208	13	)	)	PUNCT
bracis-28352	208	14	,	,	PUNCT
bracis-28352	208	15	\(c_b	\(c_b	ADV
bracis-28352	208	16	=	=	SYM
bracis-28352	208	17	100\	100\	NUM
bracis-28352	208	18	)	)	PUNCT
bracis-28352	208	19	,	,	PUNCT
bracis-28352	208	20	and	and	CCONJ
bracis-28352	208	21	\(c_a	\(c_a	X
bracis-28352	208	22	=	=	SYM
bracis-28352	208	23	100	100	NUM
bracis-28352	208	24	+	+	NUM
bracis-28352	208	25	1	1	NUM
bracis-28352	208	26	=	=	SYM
bracis-28352	208	27	101\	101\	NUM
bracis-28352	208	28	)	)	PUNCT
bracis-28352	208	29	,	,	PUNCT
bracis-28352	208	30	the	the	DET
bracis-28352	208	31	utility	utility	NOUN
bracis-28352	208	32	of	of	ADP
bracis-28352	208	33	taking	take	VERB
bracis-28352	208	34	action	action	NOUN
bracis-28352	209	1	a	a	PRON
bracis-28352	209	2	is	be	AUX
bracis-28352	209	3	\(e^{-0.1	\(e^{-0.1	NOUN
bracis-28352	209	4	\times	\times	ADP
bracis-28352	209	5	101	101	NUM
bracis-28352	209	6	}	}	PUNCT
bracis-28352	209	7	+	+	NUM
bracis-28352	209	8	20	20	NUM
bracis-28352	209	9	\approx	\approx	PROPN
bracis-28352	209	10	20\	20\	NUM
bracis-28352	209	11	)	)	PUNCT
bracis-28352	209	12	,	,	PUNCT
bracis-28352	209	13	which	which	PRON
bracis-28352	209	14	is	be	AUX
bracis-28352	209	15	higher	high	ADJ
bracis-28352	209	16	than	than	ADP
bracis-28352	209	17	the	the	DET
bracis-28352	209	18	utility	utility	NOUN
bracis-28352	209	19	of	of	ADP
bracis-28352	209	20	taking	take	VERB
bracis-28352	209	21	b	b	NOUN
bracis-28352	209	22	that	that	PRON
bracis-28352	209	23	is	is	ADV
bracis-28352	209	24	\(0.95	\(0.95	NOUN
bracis-28352	209	25	(	(	PUNCT
bracis-28352	209	26	e^{-0.1	e^{-0.1	NOUN
bracis-28352	209	27	\times	\time	VERB
bracis-28352	209	28	100	100	NUM
bracis-28352	209	29	}	}	PUNCT
bracis-28352	209	30	+	+	NUM
bracis-28352	209	31	20	20	NUM
bracis-28352	209	32	)	)	PUNCT
bracis-28352	209	33	\approx	\approx	PROPN
bracis-28352	209	34	19\	19\	NUM
bracis-28352	209	35	)	)	PUNCT
bracis-28352	209	36	.	.	PUNCT
bracis-28352	210	1	for	for	ADP
bracis-28352	210	2	this	this	DET
bracis-28352	210	3	same	same	ADJ
bracis-28352	210	4	setting	setting	NOUN
bracis-28352	210	5	,	,	PUNCT
bracis-28352	210	6	the	the	DET
bracis-28352	210	7	optimal	optimal	ADJ
bracis-28352	210	8	policy	policy	NOUN
bracis-28352	210	9	under	under	ADP
bracis-28352	210	10	\(\alpha	\(\alpha	NOUN
bracis-28352	210	11	\)-mcmp	\)-mcmp	PRON
bracis-28352	210	12	would	would	AUX
bracis-28352	210	13	be	be	AUX
bracis-28352	210	14	the	the	DET
bracis-28352	210	15	one	one	NUM
bracis-28352	210	16	that	that	PRON
bracis-28352	210	17	chooses	choose	VERB
bracis-28352	210	18	a	a	PRON
bracis-28352	210	19	with	with	ADP
bracis-28352	210	20	probability	probability	NOUN
bracis-28352	210	21	0.95	0.95	NUM
bracis-28352	210	22	,	,	PUNCT
bracis-28352	210	23	and	and	CCONJ
bracis-28352	210	24	gives	give	VERB
bracis-28352	210	25	up	up	ADP
bracis-28352	210	26	with	with	ADP
bracis-28352	210	27	probability	probability	NOUN
bracis-28352	210	28	0.05	0.05	NUM
bracis-28352	210	29	.	.	PUNCT
bracis-28352	211	1	this	this	DET
bracis-28352	211	2	policy	policy	NOUN
bracis-28352	211	3	has	have	VERB
bracis-28352	211	4	an	an	DET
bracis-28352	211	5	expected	expect	VERB
bracis-28352	211	6	cost	cost	NOUN
bracis-28352	211	7	of	of	ADP
bracis-28352	211	8	\(0.95	\(0.95	NOUN
bracis-28352	211	9	\times	\time	VERB
bracis-28352	211	10	101	101	NUM
bracis-28352	211	11	=	=	SYM
bracis-28352	211	12	95.95\	95.95\	NUM
bracis-28352	211	13	)	)	PUNCT
bracis-28352	211	14	.	.	PUNCT
bracis-28352	212	1	in	in	ADP
bracis-28352	212	2	summary	summary	NOUN
bracis-28352	212	3	,	,	PUNCT
bracis-28352	212	4	for	for	ADP
bracis-28352	212	5	a	a	DET
bracis-28352	212	6	value	value	NOUN
bracis-28352	212	7	of	of	ADP
bracis-28352	212	8	\(\alpha	\(\alpha	NOUN
bracis-28352	212	9	=	=	SYM
bracis-28352	212	10	0.95\	0.95\	NOUN
bracis-28352	212	11	)	)	PUNCT
bracis-28352	212	12	and	and	CCONJ
bracis-28352	212	13	depending	depend	VERB
bracis-28352	212	14	on	on	ADP
bracis-28352	212	15	the	the	DET
bracis-28352	212	16	trade	trade	NOUN
bracis-28352	212	17	-	-	PUNCT
bracis-28352	212	18	off	off	NOUN
bracis-28352	212	19	incurred	incur	VERB
bracis-28352	212	20	by	by	ADP
bracis-28352	212	21	the	the	DET
bracis-28352	212	22	chosen	choose	VERB
bracis-28352	212	23	value	value	NOUN
bracis-28352	212	24	of	of	ADP
bracis-28352	212	25	\(\lambda	\(\lambda	NOUN
bracis-28352	212	26	\	\	NOUN
bracis-28352	212	27	)	)	PUNCT
bracis-28352	212	28	,	,	PUNCT
bracis-28352	212	29	the	the	DET
bracis-28352	212	30	gubs	gubs	ADJ
bracis-28352	212	31	criterion	criterion	NOUN
bracis-28352	212	32	can	can	AUX
bracis-28352	212	33	choose	choose	VERB
bracis-28352	212	34	an	an	DET
bracis-28352	212	35	optimal	optimal	ADJ
bracis-28352	212	36	policy	policy	NOUN
bracis-28352	212	37	\(\pi	\(\pi	ADP
bracis-28352	212	38	\	\	NOUN
bracis-28352	212	39	)	)	PUNCT
bracis-28352	213	1	such	such	ADJ
bracis-28352	213	2	that	that	DET
bracis-28352	213	3	\(p^\pi	\(p^\pi	NOUN
bracis-28352	213	4	_	_	PUNCT
bracis-28352	213	5	g(s_0	g(s_0	ADJ
bracis-28352	213	6	)	)	PUNCT
bracis-28352	213	7	\ge	\ge	PROPN
bracis-28352	213	8	\alpha	\alpha	ADJ
bracis-28352	213	9	p_g(s_0)\	p_g(s_0)\	NOUN
bracis-28352	213	10	)	)	PUNCT
bracis-28352	213	11	.	.	PUNCT
bracis-28352	214	1	\(\alpha	\(\alpha	PROPN
bracis-28352	214	2	\)-mcmp	\)-mcmp	NUM
bracis-28352	214	3	,	,	PUNCT
bracis-28352	214	4	on	on	ADP
bracis-28352	214	5	the	the	DET
bracis-28352	214	6	other	other	ADJ
bracis-28352	214	7	hand	hand	NOUN
bracis-28352	214	8	,	,	PUNCT
bracis-28352	214	9	will	will	AUX
bracis-28352	214	10	always	always	ADV
bracis-28352	214	11	select	select	VERB
bracis-28352	214	12	a	a	DET
bracis-28352	214	13	policy	policy	NOUN
bracis-28352	214	14	that	that	PRON
bracis-28352	214	15	has	have	VERB
bracis-28352	214	16	a	a	DET
bracis-28352	214	17	probability	probability	NOUN
bracis-28352	214	18	-	-	PUNCT
bracis-28352	214	19	to	to	ADP
bracis-28352	214	20	-	-	PUNCT
bracis-28352	214	21	goal	goal	NOUN
bracis-28352	214	22	value	value	NOUN
bracis-28352	214	23	equal	equal	ADJ
bracis-28352	214	24	to	to	ADP
bracis-28352	214	25	\(\alpha	\(\alpha	NOUN
bracis-28352	214	26	p_g(s_0)\	p_g(s_0)\	ADJ
bracis-28352	214	27	)	)	PUNCT
bracis-28352	214	28	.	.	PUNCT
bracis-28352	215	1	table	table	NOUN
bracis-28352	215	2	 	 	SPACE
bracis-28352	215	3	1	1	NUM
bracis-28352	215	4	summarizes	summarize	NOUN
bracis-28352	215	5	some	some	PRON
bracis-28352	215	6	of	of	ADP
bracis-28352	215	7	the	the	DET
bracis-28352	215	8	key	key	ADJ
bracis-28352	215	9	differences	difference	NOUN
bracis-28352	215	10	between	between	ADP
bracis-28352	215	11	\(\alpha	\(\alpha	NOUN
bracis-28352	215	12	\)-mcmp	\)-mcmp	NOUN
bracis-28352	215	13	and	and	CCONJ
bracis-28352	215	14	gubs	gubs	ADJ
bracis-28352	215	15	.	.	PUNCT
bracis-28352	216	1	4	4	NUM
bracis-28352	216	2	experiments	experiment	NOUN
bracis-28352	216	3	we	we	PRON
bracis-28352	216	4	have	have	AUX
bracis-28352	216	5	performed	perform	VERB
bracis-28352	216	6	experiments	experiment	NOUN
bracis-28352	216	7	in	in	ADP
bracis-28352	216	8	the	the	DET
bracis-28352	216	9	navigation	navigation	NOUN
bracis-28352	216	10	[	[	X
bracis-28352	216	11	12	12	NUM
bracis-28352	216	12	]	]	PUNCT
bracis-28352	216	13	,	,	PUNCT
bracis-28352	216	14	river	river	NOUN
bracis-28352	216	15	[	[	X
bracis-28352	216	16	4	4	NUM
bracis-28352	216	17	]	]	PUNCT
bracis-28352	216	18	,	,	PUNCT
bracis-28352	216	19	and	and	CCONJ
bracis-28352	216	20	triangle	triangle	VERB
bracis-28352	216	21	tireworld	tireworld	PRON
bracis-28352	216	22	[	[	X
bracis-28352	216	23	9	9	NUM
bracis-28352	216	24	]	]	SYM
bracis-28352	216	25	domains	domain	NOUN
bracis-28352	216	26	(	(	PUNCT
bracis-28352	216	27	figs	fig	NOUN
bracis-28352	216	28	.	.	PUNCT
bracis-28352	216	29	 	 	SPACE
bracis-28352	216	30	2a	2a	NUM
bracis-28352	216	31	,	,	PUNCT
bracis-28352	216	32	2b	2b	NOUN
bracis-28352	216	33	,	,	PUNCT
bracis-28352	216	34	and	and	CCONJ
bracis-28352	216	35	2c	2c	NOUN
bracis-28352	216	36	illustrate	illustrate	VERB
bracis-28352	216	37	these	these	DET
bracis-28352	216	38	domains	domain	NOUN
bracis-28352	216	39	,	,	PUNCT
bracis-28352	216	40	respectively	respectively	ADV
bracis-28352	216	41	)	)	PUNCT
bracis-28352	216	42	to	to	PART
bracis-28352	216	43	evaluate	evaluate	VERB
bracis-28352	216	44	\(\alpha	\(\alpha	NOUN
bracis-28352	216	45	\)-mcmp	\)-mcmp	PRON
bracis-28352	216	46	empirically	empirically	ADV
bracis-28352	216	47	and	and	CCONJ
bracis-28352	216	48	compare	compare	VERB
bracis-28352	216	49	it	it	PRON
bracis-28352	216	50	to	to	ADP
bracis-28352	216	51	the	the	DET
bracis-28352	216	52	gubs	gubs	ADJ
bracis-28352	216	53	criterion	criterion	NOUN
bracis-28352	216	54	.	.	PUNCT
bracis-28352	217	1	table	table	NOUN
bracis-28352	217	2	1	1	NUM
bracis-28352	217	3	.	.	PUNCT
bracis-28352	218	1	key	key	ADJ
bracis-28352	218	2	differences	difference	NOUN
bracis-28352	218	3	between	between	ADP
bracis-28352	218	4	\(\alpha	\(\alpha	NOUN
bracis-28352	218	5	\)-mcmp	\)-mcmp	NUM
bracis-28352	218	6	and	and	CCONJ
bracis-28352	218	7	gubs.full	gubs.full	NOUN
bracis-28352	218	8	size	size	NOUN
bracis-28352	218	9	table	table	NOUN
bracis-28352	218	10	the	the	DET
bracis-28352	218	11	navigation	navigation	NOUN
bracis-28352	218	12	domain	domain	NOUN
bracis-28352	218	13	is	be	AUX
bracis-28352	218	14	a	a	DET
bracis-28352	218	15	grid	grid	NOUN
bracis-28352	218	16	world	world	NOUN
bracis-28352	218	17	,	,	PUNCT
bracis-28352	218	18	where	where	SCONJ
bracis-28352	218	19	the	the	DET
bracis-28352	218	20	agent	agent	NOUN
bracis-28352	218	21	starts	start	VERB
bracis-28352	218	22	at	at	ADP
bracis-28352	218	23	the	the	DET
bracis-28352	218	24	rightmost	rightmost	ADJ
bracis-28352	218	25	column	column	NOUN
bracis-28352	218	26	in	in	ADP
bracis-28352	218	27	the	the	DET
bracis-28352	218	28	last	last	ADJ
bracis-28352	218	29	row	row	NOUN
bracis-28352	218	30	,	,	PUNCT
bracis-28352	218	31	and	and	CCONJ
bracis-28352	218	32	the	the	DET
bracis-28352	218	33	goal	goal	NOUN
bracis-28352	218	34	is	be	AUX
bracis-28352	218	35	in	in	ADP
bracis-28352	218	36	the	the	DET
bracis-28352	218	37	same	same	ADJ
bracis-28352	218	38	column	column	NOUN
bracis-28352	218	39	but	but	CCONJ
bracis-28352	218	40	in	in	ADP
bracis-28352	218	41	the	the	DET
bracis-28352	218	42	first	first	ADJ
bracis-28352	218	43	row	row	NOUN
bracis-28352	218	44	.	.	PUNCT
bracis-28352	219	1	in	in	ADP
bracis-28352	219	2	the	the	DET
bracis-28352	219	3	middle	middle	ADJ
bracis-28352	219	4	rows	row	NOUN
bracis-28352	219	5	,	,	PUNCT
bracis-28352	219	6	the	the	DET
bracis-28352	219	7	actions	action	NOUN
bracis-28352	219	8	have	have	VERB
bracis-28352	219	9	a	a	DET
bracis-28352	219	10	probability	probability	NOUN
bracis-28352	219	11	of	of	ADP
bracis-28352	219	12	making	make	VERB
bracis-28352	219	13	the	the	DET
bracis-28352	219	14	agent	agent	NOUN
bracis-28352	219	15	disappear	disappear	VERB
bracis-28352	219	16	,	,	PUNCT
bracis-28352	219	17	thus	thus	ADV
bracis-28352	219	18	going	go	VERB
bracis-28352	219	19	to	to	ADP
bracis-28352	219	20	a	a	DET
bracis-28352	219	21	dead	dead	ADJ
bracis-28352	219	22	-	-	PUNCT
bracis-28352	219	23	end	end	NOUN
bracis-28352	219	24	state	state	NOUN
bracis-28352	219	25	.	.	PUNCT
bracis-28352	220	1	these	these	DET
bracis-28352	220	2	probabilities	probability	NOUN
bracis-28352	220	3	are	be	AUX
bracis-28352	220	4	lower	low	ADJ
bracis-28352	220	5	on	on	ADP
bracis-28352	220	6	the	the	DET
bracis-28352	220	7	left	left	NOUN
bracis-28352	220	8	and	and	CCONJ
bracis-28352	220	9	higher	high	ADJ
bracis-28352	220	10	on	on	ADP
bracis-28352	220	11	the	the	DET
bracis-28352	220	12	right	right	NOUN
bracis-28352	220	13	.	.	PUNCT
bracis-28352	221	1	the	the	DET
bracis-28352	221	2	river	river	NOUN
bracis-28352	221	3	domain	domain	NOUN
bracis-28352	221	4	is	be	AUX
bracis-28352	221	5	similar	similar	ADJ
bracis-28352	221	6	,	,	PUNCT
bracis-28352	221	7	also	also	ADV
bracis-28352	221	8	being	be	AUX
bracis-28352	221	9	a	a	DET
bracis-28352	221	10	grid	grid	NOUN
bracis-28352	221	11	world	world	NOUN
bracis-28352	221	12	,	,	PUNCT
bracis-28352	221	13	but	but	CCONJ
bracis-28352	221	14	representing	represent	VERB
bracis-28352	221	15	an	an	DET
bracis-28352	221	16	agent	agent	NOUN
bracis-28352	221	17	at	at	ADP
bracis-28352	221	18	a	a	DET
bracis-28352	221	19	river	river	NOUN
bracis-28352	221	20	bank	bank	NOUN
bracis-28352	221	21	having	have	VERB
bracis-28352	221	22	to	to	PART
bracis-28352	221	23	cross	cross	VERB
bracis-28352	221	24	the	the	DET
bracis-28352	221	25	river	river	NOUN
bracis-28352	221	26	to	to	PART
bracis-28352	221	27	get	get	VERB
bracis-28352	221	28	to	to	ADP
bracis-28352	221	29	the	the	DET
bracis-28352	221	30	goal	goal	NOUN
bracis-28352	221	31	that	that	PRON
bracis-28352	221	32	is	be	AUX
bracis-28352	221	33	on	on	ADP
bracis-28352	221	34	the	the	DET
bracis-28352	221	35	other	other	ADJ
bracis-28352	221	36	side	side	NOUN
bracis-28352	221	37	.	.	PUNCT
bracis-28352	222	1	actions	action	NOUN
bracis-28352	222	2	in	in	ADP
bracis-28352	222	3	the	the	DET
bracis-28352	222	4	river	river	NOUN
bracis-28352	222	5	have	have	VERB
bracis-28352	222	6	a	a	DET
bracis-28352	222	7	positive	positive	ADJ
bracis-28352	222	8	probability	probability	NOUN
bracis-28352	222	9	of	of	ADP
bracis-28352	222	10	making	make	VERB
bracis-28352	222	11	the	the	DET
bracis-28352	222	12	agent	agent	NOUN
bracis-28352	222	13	fall	fall	VERB
bracis-28352	222	14	down	down	ADP
bracis-28352	222	15	one	one	NUM
bracis-28352	222	16	row	row	NOUN
bracis-28352	222	17	,	,	PUNCT
bracis-28352	222	18	while	while	SCONJ
bracis-28352	222	19	actions	action	NOUN
bracis-28352	222	20	in	in	ADP
bracis-28352	222	21	the	the	DET
bracis-28352	222	22	bank	bank	NOUN
bracis-28352	222	23	and	and	CCONJ
bracis-28352	222	24	the	the	DET
bracis-28352	222	25	bridge	bridge	NOUN
bracis-28352	222	26	,	,	PUNCT
bracis-28352	222	27	located	locate	VERB
bracis-28352	222	28	in	in	ADP
bracis-28352	222	29	the	the	DET
bracis-28352	222	30	first	first	ADJ
bracis-28352	222	31	row	row	NOUN
bracis-28352	222	32	,	,	PUNCT
bracis-28352	222	33	are	be	AUX
bracis-28352	222	34	deterministic	deterministic	ADJ
bracis-28352	222	35	.	.	PUNCT
bracis-28352	223	1	if	if	SCONJ
bracis-28352	223	2	the	the	DET
bracis-28352	223	3	agent	agent	NOUN
bracis-28352	223	4	gets	get	VERB
bracis-28352	223	5	to	to	ADP
bracis-28352	223	6	the	the	DET
bracis-28352	223	7	first	first	ADJ
bracis-28352	223	8	row	row	NOUN
bracis-28352	223	9	after	after	ADP
bracis-28352	223	10	falling	fall	VERB
bracis-28352	223	11	down	down	ADP
bracis-28352	223	12	in	in	ADP
bracis-28352	223	13	the	the	DET
bracis-28352	223	14	river	river	NOUN
bracis-28352	223	15	,	,	PUNCT
bracis-28352	223	16	the	the	DET
bracis-28352	223	17	waterfall	waterfall	NOUN
bracis-28352	223	18	is	be	AUX
bracis-28352	223	19	reached	reach	VERB
bracis-28352	223	20	,	,	PUNCT
bracis-28352	223	21	in	in	ADP
bracis-28352	223	22	which	which	PRON
bracis-28352	223	23	no	no	DET
bracis-28352	223	24	actions	action	NOUN
bracis-28352	223	25	to	to	ADP
bracis-28352	223	26	other	other	ADJ
bracis-28352	223	27	states	state	NOUN
bracis-28352	223	28	are	be	AUX
bracis-28352	223	29	available	available	ADJ
bracis-28352	223	30	,	,	PUNCT
bracis-28352	223	31	thus	thus	ADV
bracis-28352	223	32	being	be	AUX
bracis-28352	223	33	a	a	DET
bracis-28352	223	34	dead	dead	ADJ
bracis-28352	223	35	end	end	NOUN
bracis-28352	223	36	.	.	PUNCT
bracis-28352	224	1	finally	finally	ADV
bracis-28352	224	2	,	,	PUNCT
bracis-28352	224	3	in	in	ADP
bracis-28352	224	4	the	the	DET
bracis-28352	224	5	triangle	triangle	NOUN
bracis-28352	224	6	tireworld	tireworld	PRON
bracis-28352	224	7	domain	domain	NOUN
bracis-28352	224	8	,	,	PUNCT
bracis-28352	224	9	the	the	DET
bracis-28352	224	10	agent	agent	NOUN
bracis-28352	224	11	is	be	AUX
bracis-28352	224	12	represented	represent	VERB
bracis-28352	224	13	by	by	ADP
bracis-28352	224	14	a	a	DET
bracis-28352	224	15	car	car	NOUN
bracis-28352	224	16	that	that	PRON
bracis-28352	224	17	needs	need	VERB
bracis-28352	224	18	to	to	PART
bracis-28352	224	19	go	go	VERB
bracis-28352	224	20	to	to	ADP
bracis-28352	224	21	a	a	DET
bracis-28352	224	22	goal	goal	NOUN
bracis-28352	224	23	location	location	NOUN
bracis-28352	224	24	,	,	PUNCT
bracis-28352	224	25	always	always	ADV
bracis-28352	224	26	with	with	ADP
bracis-28352	224	27	a	a	DET
bracis-28352	224	28	positive	positive	ADJ
bracis-28352	224	29	probability	probability	NOUN
bracis-28352	224	30	of	of	ADP
bracis-28352	224	31	getting	get	VERB
bracis-28352	224	32	a	a	DET
bracis-28352	224	33	flat	flat	ADJ
bracis-28352	224	34	tire	tire	NOUN
bracis-28352	224	35	.	.	PUNCT
bracis-28352	225	1	certain	certain	ADJ
bracis-28352	225	2	states	state	NOUN
bracis-28352	225	3	have	have	VERB
bracis-28352	225	4	available	available	ADJ
bracis-28352	225	5	tires	tire	NOUN
bracis-28352	225	6	to	to	PART
bracis-28352	225	7	change	change	VERB
bracis-28352	225	8	,	,	PUNCT
bracis-28352	225	9	but	but	CCONJ
bracis-28352	225	10	these	these	PRON
bracis-28352	225	11	are	be	AUX
bracis-28352	225	12	in	in	ADP
bracis-28352	225	13	general	general	ADJ
bracis-28352	225	14	further	far	ADV
bracis-28352	225	15	away	away	ADV
bracis-28352	225	16	from	from	ADP
bracis-28352	225	17	the	the	DET
bracis-28352	225	18	goal	goal	NOUN
bracis-28352	225	19	than	than	ADP
bracis-28352	225	20	states	state	NOUN
bracis-28352	225	21	with	with	ADP
bracis-28352	225	22	no	no	DET
bracis-28352	225	23	tires	tire	NOUN
bracis-28352	225	24	available	available	ADJ
bracis-28352	225	25	.	.	PUNCT
bracis-28352	226	1	in	in	ADP
bracis-28352	226	2	the	the	DET
bracis-28352	226	3	instances	instance	NOUN
bracis-28352	226	4	depicted	depict	VERB
bracis-28352	226	5	in	in	ADP
bracis-28352	226	6	fig	fig	NOUN
bracis-28352	226	7	.	.	PUNCT
bracis-28352	226	8	 	 	SPACE
bracis-28352	226	9	2c	2c	NOUN
bracis-28352	226	10	,	,	PUNCT
bracis-28352	226	11	for	for	ADP
bracis-28352	226	12	example	example	NOUN
bracis-28352	226	13	,	,	PUNCT
bracis-28352	226	14	the	the	DET
bracis-28352	226	15	black	black	ADJ
bracis-28352	226	16	circles	circle	NOUN
bracis-28352	226	17	represent	represent	VERB
bracis-28352	226	18	locations	location	NOUN
bracis-28352	226	19	that	that	PRON
bracis-28352	226	20	have	have	VERB
bracis-28352	226	21	available	available	ADJ
bracis-28352	226	22	tires	tire	NOUN
bracis-28352	226	23	.	.	PUNCT
bracis-28352	227	1	if	if	SCONJ
bracis-28352	227	2	the	the	DET
bracis-28352	227	3	car	car	NOUN
bracis-28352	227	4	gets	get	VERB
bracis-28352	227	5	a	a	DET
bracis-28352	227	6	flat	flat	ADJ
bracis-28352	227	7	tire	tire	NOUN
bracis-28352	227	8	after	after	ADP
bracis-28352	227	9	getting	get	VERB
bracis-28352	227	10	to	to	ADP
bracis-28352	227	11	a	a	DET
bracis-28352	227	12	state	state	NOUN
bracis-28352	227	13	with	with	ADP
bracis-28352	227	14	no	no	DET
bracis-28352	227	15	tire	tire	NOUN
bracis-28352	227	16	to	to	PART
bracis-28352	227	17	replace	replace	VERB
bracis-28352	227	18	,	,	PUNCT
bracis-28352	227	19	then	then	ADV
bracis-28352	227	20	a	a	DET
bracis-28352	227	21	dead	dead	ADJ
bracis-28352	227	22	end	end	NOUN
bracis-28352	227	23	is	be	AUX
bracis-28352	227	24	reached	reach	VERB
bracis-28352	227	25	.	.	PUNCT
bracis-28352	228	1	we	we	PRON
bracis-28352	228	2	aimed	aim	VERB
bracis-28352	228	3	to	to	PART
bracis-28352	228	4	evaluate	evaluate	VERB
bracis-28352	228	5	the	the	DET
bracis-28352	228	6	different	different	ADJ
bracis-28352	228	7	probability	probability	NOUN
bracis-28352	228	8	-	-	PUNCT
bracis-28352	228	9	to	to	ADP
bracis-28352	228	10	-	-	PUNCT
bracis-28352	228	11	goal	goal	NOUN
bracis-28352	228	12	values	value	NOUN
bracis-28352	228	13	obtained	obtain	VERB
bracis-28352	228	14	from	from	ADP
bracis-28352	228	15	optimal	optimal	ADJ
bracis-28352	228	16	policies	policy	NOUN
bracis-28352	228	17	generated	generate	VERB
bracis-28352	228	18	from	from	ADP
bracis-28352	228	19	both	both	DET
bracis-28352	228	20	criteria	criterion	NOUN
bracis-28352	228	21	when	when	SCONJ
bracis-28352	228	22	varying	vary	VERB
bracis-28352	228	23	their	their	PRON
bracis-28352	228	24	parameters	parameter	NOUN
bracis-28352	228	25	.	.	PUNCT
bracis-28352	229	1	for	for	ADP
bracis-28352	229	2	that	that	PRON
bracis-28352	229	3	,	,	PUNCT
bracis-28352	229	4	we	we	PRON
bracis-28352	229	5	varied	vary	VERB
bracis-28352	229	6	\(\alpha	\(\alpha	NOUN
bracis-28352	229	7	\	\	NOUN
bracis-28352	229	8	)	)	PUNCT
bracis-28352	229	9	between	between	ADP
bracis-28352	229	10	the	the	DET
bracis-28352	229	11	values	value	NOUN
bracis-28352	229	12	of	of	ADP
bracis-28352	229	13	\(\{10^{-5	\(\{10^{-5	NOUN
bracis-28352	229	14	}	}	PUNCT
bracis-28352	229	15	,	,	PUNCT
bracis-28352	229	16	10^{-4	10^{-4	NUM
bracis-28352	229	17	}	}	PUNCT
bracis-28352	229	18	,	,	PUNCT
bracis-28352	229	19	10^{-3},\	10^{-3},\	NUM
bracis-28352	229	20	)	)	PUNCT
bracis-28352	229	21	\(10^{-2	\(10^{-2	NUM
bracis-28352	229	22	}	}	PUNCT
bracis-28352	229	23	,	,	PUNCT
bracis-28352	229	24	0.1	0.1	NUM
bracis-28352	229	25	,	,	PUNCT
bracis-28352	229	26	0.5	0.5	NUM
bracis-28352	229	27	,	,	PUNCT
bracis-28352	229	28	0.999\}\	0.999\}\	NUM
bracis-28352	229	29	)	)	PUNCT
bracis-28352	229	30	and	and	CCONJ
bracis-28352	229	31	computed	compute	VERB
bracis-28352	229	32	lp4	lp4	PROPN
bracis-28352	229	33	to	to	PART
bracis-28352	229	34	obtain	obtain	VERB
bracis-28352	229	35	the	the	DET
bracis-28352	229	36	optimal	optimal	ADJ
bracis-28352	229	37	policy	policy	NOUN
bracis-28352	229	38	of	of	ADP
bracis-28352	229	39	\(\alpha	\(\alpha	NOUN
bracis-28352	229	40	\)-mcmp	\)-mcmp	NOUN
bracis-28352	229	41	.	.	PUNCT
bracis-28352	230	1	for	for	ADP
bracis-28352	230	2	gubs	gub	NOUN
bracis-28352	230	3	,	,	PUNCT
bracis-28352	230	4	we	we	PRON
bracis-28352	230	5	used	use	VERB
bracis-28352	230	6	the	the	DET
bracis-28352	230	7	value	value	NOUN
bracis-28352	230	8	of	of	ADP
bracis-28352	230	9	\(k_g\	\(k_g\	NOUN
bracis-28352	230	10	)	)	PUNCT
bracis-28352	230	11	as	as	ADP
bracis-28352	230	12	in	in	ADP
bracis-28352	230	13	corollary	corollary	ADJ
bracis-28352	230	14	1	1	NUM
bracis-28352	230	15	as	as	ADP
bracis-28352	230	16	a	a	DET
bracis-28352	230	17	parameter	parameter	NOUN
bracis-28352	230	18	for	for	ADP
bracis-28352	230	19	the	the	DET
bracis-28352	230	20	given	give	VERB
bracis-28352	230	21	values	value	NOUN
bracis-28352	230	22	of	of	ADP
bracis-28352	230	23	\(\alpha	\(\alpha	NOUN
bracis-28352	230	24	\	\	NOUN
bracis-28352	230	25	)	)	PUNCT
bracis-28352	230	26	and	and	CCONJ
bracis-28352	230	27	then	then	ADV
bracis-28352	230	28	computed	compute	VERB
bracis-28352	230	29	the	the	DET
bracis-28352	230	30	egubs	egub	NOUN
bracis-28352	230	31	criterion	criterion	NOUN
bracis-28352	230	32	for	for	ADP
bracis-28352	230	33	this	this	DET
bracis-28352	230	34	value	value	NOUN
bracis-28352	230	35	of	of	ADP
bracis-28352	230	36	\(k_g\	\(k_g\	NOUN
bracis-28352	230	37	)	)	PUNCT
bracis-28352	230	38	and	and	CCONJ
bracis-28352	230	39	different	different	ADJ
bracis-28352	230	40	values	value	NOUN
bracis-28352	230	41	of	of	ADP
bracis-28352	230	42	\(\lambda	\(\lambda	NOUN
bracis-28352	230	43	\	\	NOUN
bracis-28352	230	44	)	)	PUNCT
bracis-28352	230	45	using	use	VERB
bracis-28352	230	46	the	the	DET
bracis-28352	230	47	egubs	egub	NOUN
bracis-28352	230	48	-	-	PUNCT
bracis-28352	230	49	vi	vi	NOUN
bracis-28352	230	50	algorithm	algorithm	NOUN
bracis-28352	230	51	.	.	PUNCT
bracis-28352	231	1	the	the	DET
bracis-28352	231	2	values	value	NOUN
bracis-28352	231	3	of	of	ADP
bracis-28352	231	4	\(\lambda	\(\lambda	NOUN
bracis-28352	231	5	\	\	NOUN
bracis-28352	231	6	)	)	PUNCT
bracis-28352	231	7	were	be	AUX
bracis-28352	231	8	\(\{-0.05,\	\(\{-0.05,\	NOUN
bracis-28352	231	9	)	)	PUNCT
bracis-28352	231	10	\(-0.06	\(-0.06	ADP
bracis-28352	231	11	,	,	PUNCT
bracis-28352	231	12	-0.07	-0.07	NUM
bracis-28352	231	13	,	,	PUNCT
bracis-28352	231	14	-0.08	-0.08	NUM
bracis-28352	231	15	,	,	PUNCT
bracis-28352	231	16	-0.09	-0.09	NUM
bracis-28352	231	17	,	,	PUNCT
bracis-28352	231	18	-0.1	-0.1	NOUN
bracis-28352	231	19	,	,	PUNCT
bracis-28352	231	20	-0.2\}\	-0.2\}\	NUM
bracis-28352	231	21	)	)	PUNCT
bracis-28352	231	22	for	for	ADP
bracis-28352	231	23	the	the	DET
bracis-28352	231	24	navigation	navigation	NOUN
bracis-28352	231	25	domain	domain	NOUN
bracis-28352	231	26	,	,	PUNCT
bracis-28352	231	27	\(\{-0.01	\(\{-0.01	PROPN
bracis-28352	231	28	,	,	PUNCT
bracis-28352	231	29	-0.1,\	-0.1,\	NOUN
bracis-28352	231	30	)	)	PUNCT
bracis-28352	232	1	\	\	NOUN
bracis-28352	232	2	(	(	PUNCT
bracis-28352	232	3	-0.2,-0.3	-0.2,-0.3	PROPN
bracis-28352	232	4	,	,	PUNCT
bracis-28352	232	5	-0.4	-0.4	NOUN
bracis-28352	232	6	,	,	PUNCT
bracis-28352	232	7	-0.5\}\	-0.5\}\	NUM
bracis-28352	232	8	)	)	PUNCT
bracis-28352	232	9	for	for	ADP
bracis-28352	232	10	the	the	DET
bracis-28352	232	11	river	river	NOUN
bracis-28352	232	12	domain	domain	NOUN
bracis-28352	232	13	,	,	PUNCT
bracis-28352	232	14	and	and	CCONJ
bracis-28352	232	15	\(\{-0.1	\(\{-0.1	NOUN
bracis-28352	232	16	,	,	PUNCT
bracis-28352	232	17	-0.2	-0.2	NOUN
bracis-28352	232	18	,	,	PUNCT
bracis-28352	232	19	-0.25,-0.3,-0.35,\	-0.25,-0.3,-0.35,\	NUM
bracis-28352	232	20	)	)	PUNCT
bracis-28352	232	21	\	\	PROPN
bracis-28352	232	22	(	(	PUNCT
bracis-28352	232	23	-0.4\}\	-0.4\}\	NUM
bracis-28352	232	24	)	)	PUNCT
bracis-28352	232	25	for	for	ADP
bracis-28352	232	26	the	the	DET
bracis-28352	232	27	triangle	triangle	NOUN
bracis-28352	232	28	tireworld	tireworld	PRON
bracis-28352	232	29	domain	domain	NOUN
bracis-28352	232	30	.	.	PUNCT
bracis-28352	233	1	a	a	DET
bracis-28352	233	2	single	single	ADJ
bracis-28352	233	3	instance	instance	NOUN
bracis-28352	233	4	was	be	AUX
bracis-28352	233	5	used	use	VERB
bracis-28352	233	6	for	for	ADP
bracis-28352	233	7	each	each	DET
bracis-28352	233	8	domain	domain	NOUN
bracis-28352	233	9	.	.	PUNCT
bracis-28352	234	1	the	the	DET
bracis-28352	234	2	number	number	NOUN
bracis-28352	234	3	of	of	ADP
bracis-28352	234	4	states	state	NOUN
bracis-28352	234	5	for	for	ADP
bracis-28352	234	6	each	each	PRON
bracis-28352	234	7	of	of	ADP
bracis-28352	234	8	these	these	DET
bracis-28352	234	9	instances	instance	NOUN
bracis-28352	234	10	is	be	AUX
bracis-28352	234	11	101	101	NUM
bracis-28352	234	12	,	,	PUNCT
bracis-28352	234	13	200	200	NUM
bracis-28352	234	14	and	and	CCONJ
bracis-28352	234	15	19562	19562	NUM
bracis-28352	234	16	for	for	ADP
bracis-28352	234	17	the	the	DET
bracis-28352	234	18	navigation	navigation	NOUN
bracis-28352	234	19	,	,	PUNCT
bracis-28352	234	20	river	river	NOUN
bracis-28352	234	21	,	,	PUNCT
bracis-28352	234	22	and	and	CCONJ
bracis-28352	234	23	triangle	triangle	VERB
bracis-28352	234	24	tireworld	tireworld	NUM
bracis-28352	234	25	domains	domain	NOUN
bracis-28352	234	26	,	,	PUNCT
bracis-28352	234	27	respectively	respectively	ADV
bracis-28352	234	28	.	.	PUNCT
bracis-28352	235	1	note	note	VERB
bracis-28352	235	2	that	that	SCONJ
bracis-28352	235	3	the	the	DET
bracis-28352	235	4	numbers	number	NOUN
bracis-28352	235	5	of	of	ADP
bracis-28352	235	6	processed	process	VERB
bracis-28352	235	7	states	state	NOUN
bracis-28352	235	8	can	can	AUX
bracis-28352	235	9	be	be	AUX
bracis-28352	235	10	considerably	considerably	ADV
bracis-28352	235	11	higher	high	ADJ
bracis-28352	235	12	for	for	ADP
bracis-28352	235	13	egubs	egub	NOUN
bracis-28352	235	14	because	because	SCONJ
bracis-28352	235	15	it	it	PRON
bracis-28352	235	16	might	might	AUX
bracis-28352	235	17	need	need	VERB
bracis-28352	235	18	to	to	PART
bracis-28352	235	19	process	process	VERB
bracis-28352	235	20	a	a	DET
bracis-28352	235	21	high	high	ADJ
bracis-28352	235	22	number	number	NOUN
bracis-28352	235	23	of	of	ADP
bracis-28352	235	24	augmented	augment	VERB
bracis-28352	235	25	states	state	NOUN
bracis-28352	235	26	.	.	PUNCT
bracis-28352	236	1	the	the	DET
bracis-28352	236	2	domains	domain	NOUN
bracis-28352	236	3	were	be	AUX
bracis-28352	236	4	defined	define	VERB
bracis-28352	236	5	as	as	ADP
bracis-28352	236	6	pddlgym	pddlgym	NOUN
bracis-28352	236	7	[	[	X
bracis-28352	236	8	13	13	NUM
bracis-28352	236	9	]	]	SYM
bracis-28352	236	10	environments	environment	NOUN
bracis-28352	236	11	,	,	PUNCT
bracis-28352	236	12	and	and	CCONJ
bracis-28352	236	13	the	the	DET
bracis-28352	236	14	code	code	NOUN
bracis-28352	236	15	of	of	ADP
bracis-28352	236	16	the	the	DET
bracis-28352	236	17	implementation	implementation	NOUN
bracis-28352	236	18	is	be	AUX
bracis-28352	236	19	available	available	ADJ
bracis-28352	236	20	at	at	ADP
bracis-28352	236	21	https://github.com/gcrispino/ssp-deadends/tree/bracis2023-paper	https://github.com/gcrispino/ssp-deadends/tree/bracis2023-paper	PROPN
bracis-28352	236	22	.	.	PUNCT
bracis-28352	237	1	fig	fig	NOUN
bracis-28352	237	2	.	.	PUNCT
bracis-28352	238	1	2	2	X
bracis-28352	238	2	.	.	X
bracis-28352	238	3	illustration	illustration	NOUN
bracis-28352	238	4	of	of	ADP
bracis-28352	238	5	the	the	DET
bracis-28352	238	6	domains	domain	NOUN
bracis-28352	238	7	used	use	VERB
bracis-28352	238	8	in	in	ADP
bracis-28352	238	9	the	the	DET
bracis-28352	238	10	experiments	experiment	NOUN
bracis-28352	238	11	.	.	PUNCT
bracis-28352	239	1	full	full	ADJ
bracis-28352	239	2	size	size	NOUN
bracis-28352	239	3	image	image	NOUN
bracis-28352	239	4	figures	figure	NOUN
bracis-28352	239	5	 	 	SPACE
bracis-28352	239	6	3	3	NUM
bracis-28352	239	7	,	,	PUNCT
bracis-28352	239	8	4	4	NUM
bracis-28352	239	9	,	,	PUNCT
bracis-28352	239	10	and	and	CCONJ
bracis-28352	239	11	5	5	NUM
bracis-28352	239	12	contain	contain	NOUN
bracis-28352	239	13	graphs	graph	NOUN
bracis-28352	239	14	that	that	PRON
bracis-28352	239	15	display	display	VERB
bracis-28352	239	16	the	the	DET
bracis-28352	239	17	probability	probability	NOUN
bracis-28352	239	18	-	-	PUNCT
bracis-28352	239	19	to	to	ADP
bracis-28352	239	20	-	-	PUNCT
bracis-28352	239	21	goal	goal	NOUN
bracis-28352	239	22	values	value	NOUN
bracis-28352	239	23	for	for	ADP
bracis-28352	239	24	each	each	DET
bracis-28352	239	25	policy	policy	NOUN
bracis-28352	239	26	obtained	obtain	VERB
bracis-28352	239	27	for	for	ADP
bracis-28352	239	28	gubs	gub	NOUN
bracis-28352	239	29	and	and	CCONJ
bracis-28352	239	30	\(\alpha	\(\alpha	NOUN
bracis-28352	239	31	\)-mcmp	\)-mcmp	PRON
bracis-28352	239	32	given	give	VERB
bracis-28352	239	33	different	different	ADJ
bracis-28352	239	34	values	value	NOUN
bracis-28352	239	35	of	of	ADP
bracis-28352	239	36	\(\alpha	\(\alpha	NOUN
bracis-28352	239	37	\	\	NOUN
bracis-28352	239	38	)	)	PUNCT
bracis-28352	239	39	(	(	PUNCT
bracis-28352	239	40	displayed	display	VERB
bracis-28352	239	41	in	in	ADP
bracis-28352	239	42	\(\log	\(\log	NOUN
bracis-28352	239	43	_	_	PUNCT
bracis-28352	239	44	{	{	PUNCT
bracis-28352	239	45	10}\	10}\	ADJ
bracis-28352	239	46	)	)	PUNCT
bracis-28352	239	47	scale	scale	NOUN
bracis-28352	239	48	in	in	ADP
bracis-28352	239	49	the	the	DET
bracis-28352	239	50	x	x	NOUN
bracis-28352	239	51	-	-	NOUN
bracis-28352	239	52	axis	axis	NOUN
bracis-28352	239	53	)	)	PUNCT
bracis-28352	239	54	,	,	PUNCT
bracis-28352	239	55	respectively	respectively	ADV
bracis-28352	239	56	for	for	ADP
bracis-28352	239	57	domains	domain	NOUN
bracis-28352	239	58	navigation	navigation	NOUN
bracis-28352	239	59	,	,	PUNCT
bracis-28352	239	60	river	river	NOUN
bracis-28352	239	61	and	and	CCONJ
bracis-28352	239	62	triangle	triangle	NOUN
bracis-28352	239	63	tireworld	tireworld	NUM
bracis-28352	239	64	.	.	PUNCT
bracis-28352	240	1	from	from	ADP
bracis-28352	240	2	them	they	PRON
bracis-28352	240	3	,	,	PUNCT
bracis-28352	240	4	it	it	PRON
bracis-28352	240	5	can	can	AUX
bracis-28352	240	6	be	be	AUX
bracis-28352	240	7	observed	observe	VERB
bracis-28352	240	8	that	that	SCONJ
bracis-28352	240	9	,	,	PUNCT
bracis-28352	240	10	as	as	SCONJ
bracis-28352	240	11	mentioned	mention	VERB
bracis-28352	240	12	before	before	ADV
bracis-28352	240	13	,	,	PUNCT
bracis-28352	240	14	while	while	SCONJ
bracis-28352	240	15	the	the	DET
bracis-28352	240	16	probability	probability	NOUN
bracis-28352	240	17	-	-	PUNCT
bracis-28352	240	18	to	to	ADP
bracis-28352	240	19	-	-	PUNCT
bracis-28352	240	20	goal	goal	NOUN
bracis-28352	240	21	obtained	obtain	VERB
bracis-28352	240	22	by	by	ADP
bracis-28352	240	23	\(\alpha	\(\alpha	NOUN
bracis-28352	240	24	\)-mcmp	\)-mcmp	PRON
bracis-28352	240	25	always	always	ADV
bracis-28352	240	26	equals	equal	VERB
bracis-28352	240	27	\(\alpha	\(\alpha	ADJ
bracis-28352	240	28	p_g(s_0)\	p_g(s_0)\	PROPN
bracis-28352	240	29	)	)	PUNCT
bracis-28352	240	30	,	,	PUNCT
bracis-28352	240	31	the	the	DET
bracis-28352	240	32	values	value	NOUN
bracis-28352	240	33	obtained	obtain	VERB
bracis-28352	240	34	from	from	ADP
bracis-28352	240	35	egubs	egub	NOUN
bracis-28352	240	36	’	'	PUNCT
bracis-28352	240	37	optimal	optimal	ADJ
bracis-28352	240	38	policies	policy	NOUN
bracis-28352	240	39	are	be	AUX
bracis-28352	240	40	different	different	ADJ
bracis-28352	240	41	.	.	PUNCT
bracis-28352	241	1	in	in	ADP
bracis-28352	241	2	the	the	DET
bracis-28352	241	3	different	different	ADJ
bracis-28352	241	4	linesfootnote	linesfootnote	NOUN
bracis-28352	241	5	1	1	NUM
bracis-28352	241	6	reflecting	reflect	VERB
bracis-28352	241	7	different	different	ADJ
bracis-28352	241	8	values	value	NOUN
bracis-28352	241	9	of	of	ADP
bracis-28352	241	10	the	the	DET
bracis-28352	241	11	risk	risk	NOUN
bracis-28352	241	12	factor	factor	NOUN
bracis-28352	241	13	\(\lambda	\(\lambda	NOUN
bracis-28352	241	14	\	\	NOUN
bracis-28352	241	15	)	)	PUNCT
bracis-28352	241	16	,	,	PUNCT
bracis-28352	241	17	the	the	DET
bracis-28352	241	18	probability	probability	NOUN
bracis-28352	241	19	-	-	PUNCT
bracis-28352	241	20	to	to	ADP
bracis-28352	241	21	-	-	PUNCT
bracis-28352	241	22	goal	goal	NOUN
bracis-28352	241	23	values	value	NOUN
bracis-28352	241	24	are	be	AUX
bracis-28352	241	25	always	always	ADV
bracis-28352	241	26	higher	high	ADJ
bracis-28352	241	27	than	than	ADP
bracis-28352	241	28	\(\alpha	\(\alpha	NOUN
bracis-28352	241	29	p_g(s_0)\	p_g(s_0)\	ADJ
bracis-28352	241	30	)	)	PUNCT
bracis-28352	241	31	.	.	PUNCT
bracis-28352	242	1	how	how	SCONJ
bracis-28352	242	2	higher	high	ADJ
bracis-28352	242	3	these	these	DET
bracis-28352	242	4	probabilities	probability	NOUN
bracis-28352	242	5	are	be	AUX
bracis-28352	242	6	,	,	PUNCT
bracis-28352	242	7	though	though	ADV
bracis-28352	242	8	,	,	PUNCT
bracis-28352	242	9	depends	depend	VERB
bracis-28352	242	10	on	on	ADP
bracis-28352	242	11	the	the	DET
bracis-28352	242	12	chosen	choose	VERB
bracis-28352	242	13	values	value	NOUN
bracis-28352	242	14	of	of	ADP
bracis-28352	242	15	\(\lambda	\(\lambda	NOUN
bracis-28352	242	16	\	\	NOUN
bracis-28352	242	17	)	)	PUNCT
bracis-28352	242	18	.	.	PUNCT
bracis-28352	243	1	for	for	ADP
bracis-28352	243	2	example	example	NOUN
bracis-28352	243	3	,	,	PUNCT
bracis-28352	243	4	in	in	ADP
bracis-28352	243	5	the	the	DET
bracis-28352	243	6	river	river	NOUN
bracis-28352	243	7	domain	domain	NOUN
bracis-28352	243	8	,	,	PUNCT
bracis-28352	243	9	we	we	PRON
bracis-28352	243	10	can	can	AUX
bracis-28352	243	11	observe	observe	VERB
bracis-28352	243	12	several	several	ADJ
bracis-28352	243	13	different	different	ADJ
bracis-28352	243	14	types	type	NOUN
bracis-28352	243	15	of	of	ADP
bracis-28352	243	16	probability	probability	NOUN
bracis-28352	243	17	-	-	PUNCT
bracis-28352	243	18	to	to	ADP
bracis-28352	243	19	-	-	PUNCT
bracis-28352	243	20	goal	goal	NOUN
bracis-28352	243	21	curves	curve	NOUN
bracis-28352	243	22	when	when	SCONJ
bracis-28352	243	23	varying	vary	VERB
bracis-28352	243	24	\(\lambda	\(\lambda	NOUN
bracis-28352	243	25	\	\	NOUN
bracis-28352	243	26	)	)	PUNCT
bracis-28352	243	27	.	.	PUNCT
bracis-28352	244	1	the	the	DET
bracis-28352	244	2	one	one	NOUN
bracis-28352	244	3	that	that	PRON
bracis-28352	244	4	results	result	VERB
bracis-28352	244	5	in	in	ADP
bracis-28352	244	6	the	the	DET
bracis-28352	244	7	widest	wide	ADJ
bracis-28352	244	8	difference	difference	NOUN
bracis-28352	244	9	between	between	ADP
bracis-28352	244	10	the	the	DET
bracis-28352	244	11	minimum	minimum	NOUN
bracis-28352	244	12	and	and	CCONJ
bracis-28352	244	13	the	the	DET
bracis-28352	244	14	maximum	maximum	ADJ
bracis-28352	244	15	probability	probability	NOUN
bracis-28352	244	16	-	-	PUNCT
bracis-28352	244	17	to	to	ADP
bracis-28352	244	18	-	-	PUNCT
bracis-28352	244	19	goal	goal	NOUN
bracis-28352	244	20	values	value	NOUN
bracis-28352	244	21	is	be	AUX
bracis-28352	244	22	when	when	SCONJ
bracis-28352	244	23	\(\lambda	\(\lambda	NOUN
bracis-28352	244	24	=	=	SYM
bracis-28352	244	25	-0.5\	-0.5\	NOUN
bracis-28352	244	26	)	)	PUNCT
bracis-28352	244	27	,	,	PUNCT
bracis-28352	244	28	for	for	ADP
bracis-28352	244	29	which	which	PRON
bracis-28352	244	30	the	the	DET
bracis-28352	244	31	minimum	minimum	ADJ
bracis-28352	244	32	probability	probability	NOUN
bracis-28352	244	33	-	-	PUNCT
bracis-28352	244	34	to	to	ADP
bracis-28352	244	35	-	-	PUNCT
bracis-28352	244	36	goal	goal	NOUN
bracis-28352	244	37	obtained	obtain	VERB
bracis-28352	244	38	was	be	AUX
bracis-28352	244	39	about	about	ADV
bracis-28352	244	40	0.07	0.07	NUM
bracis-28352	244	41	for	for	ADP
bracis-28352	244	42	\(\alpha	\(\alpha	NOUN
bracis-28352	244	43	=	=	SYM
bracis-28352	244	44	10^{-5}\	10^{-5}\	NUM
bracis-28352	244	45	)	)	PUNCT
bracis-28352	244	46	,	,	PUNCT
bracis-28352	244	47	and	and	CCONJ
bracis-28352	244	48	the	the	DET
bracis-28352	244	49	maximum	maximum	ADJ
bracis-28352	244	50	value	value	NOUN
bracis-28352	244	51	was	be	AUX
bracis-28352	244	52	1	1	NUM
bracis-28352	244	53	,	,	PUNCT
bracis-28352	244	54	obtained	obtain	VERB
bracis-28352	244	55	when	when	SCONJ
bracis-28352	244	56	\(\alpha	\(\alpha	PROPN
bracis-28352	244	57	\in	\in	PROPN
bracis-28352	244	58	\{10^{-3	\{10^{-3	PROPN
bracis-28352	244	59	}	}	PUNCT
bracis-28352	244	60	,	,	PUNCT
bracis-28352	244	61	10^{-2	10^{-2	NUM
bracis-28352	244	62	}	}	PUNCT
bracis-28352	244	63	,	,	PUNCT
bracis-28352	244	64	0.1	0.1	NUM
bracis-28352	244	65	,	,	PUNCT
bracis-28352	244	66	0.5	0.5	NUM
bracis-28352	244	67	,	,	PUNCT
bracis-28352	244	68	0.999\}\	0.999\}\	NUM
bracis-28352	244	69	)	)	PUNCT
bracis-28352	244	70	.	.	PUNCT
bracis-28352	245	1	fig	fig	NOUN
bracis-28352	245	2	.	.	PUNCT
bracis-28352	246	1	3	3	X
bracis-28352	246	2	.	.	X
bracis-28352	246	3	results	result	NOUN
bracis-28352	246	4	for	for	ADP
bracis-28352	246	5	the	the	DET
bracis-28352	246	6	navigation	navigation	NOUN
bracis-28352	246	7	domain	domain	NOUN
bracis-28352	246	8	.	.	PUNCT
bracis-28352	247	1	full	full	ADJ
bracis-28352	247	2	size	size	NOUN
bracis-28352	247	3	image	image	NOUN
bracis-28352	247	4	fig	fig	NOUN
bracis-28352	247	5	.	.	PUNCT
bracis-28352	248	1	4	4	X
bracis-28352	248	2	.	.	X
bracis-28352	248	3	results	result	NOUN
bracis-28352	248	4	for	for	ADP
bracis-28352	248	5	the	the	DET
bracis-28352	248	6	river	river	NOUN
bracis-28352	248	7	domain	domain	NOUN
bracis-28352	248	8	.	.	PUNCT
bracis-28352	249	1	full	full	ADJ
bracis-28352	249	2	size	size	NOUN
bracis-28352	249	3	image	image	NOUN
bracis-28352	249	4	in	in	ADP
bracis-28352	249	5	fact	fact	NOUN
bracis-28352	249	6	,	,	PUNCT
bracis-28352	249	7	for	for	ADP
bracis-28352	249	8	all	all	DET
bracis-28352	249	9	domains	domain	NOUN
bracis-28352	249	10	,	,	PUNCT
bracis-28352	249	11	we	we	PRON
bracis-28352	249	12	observed	observe	VERB
bracis-28352	249	13	that	that	SCONJ
bracis-28352	249	14	the	the	PRON
bracis-28352	249	15	higher	high	ADJ
bracis-28352	249	16	the	the	DET
bracis-28352	249	17	absolute	absolute	ADJ
bracis-28352	249	18	value	value	NOUN
bracis-28352	249	19	of	of	ADP
bracis-28352	249	20	\(\lambda	\(\lambda	NOUN
bracis-28352	249	21	\	\	NOUN
bracis-28352	249	22	)	)	PUNCT
bracis-28352	249	23	is	be	AUX
bracis-28352	249	24	,	,	PUNCT
bracis-28352	249	25	the	the	PRON
bracis-28352	249	26	higher	high	ADJ
bracis-28352	249	27	the	the	DET
bracis-28352	249	28	difference	difference	NOUN
bracis-28352	249	29	between	between	ADP
bracis-28352	249	30	the	the	DET
bracis-28352	249	31	minimum	minimum	ADJ
bracis-28352	249	32	and	and	CCONJ
bracis-28352	249	33	maximum	maximum	ADJ
bracis-28352	249	34	probability	probability	NOUN
bracis-28352	249	35	-	-	PUNCT
bracis-28352	249	36	to	to	ADP
bracis-28352	249	37	-	-	PUNCT
bracis-28352	249	38	goal	goal	NOUN
bracis-28352	249	39	values	value	NOUN
bracis-28352	249	40	that	that	PRON
bracis-28352	249	41	were	be	AUX
bracis-28352	249	42	obtained	obtain	VERB
bracis-28352	249	43	for	for	ADP
bracis-28352	249	44	this	this	DET
bracis-28352	249	45	value	value	NOUN
bracis-28352	249	46	of	of	ADP
bracis-28352	249	47	\(\lambda	\(\lambda	NOUN
bracis-28352	249	48	\	\	NOUN
bracis-28352	249	49	)	)	PUNCT
bracis-28352	249	50	are	be	AUX
bracis-28352	249	51	.	.	PUNCT
bracis-28352	250	1	it	it	PRON
bracis-28352	250	2	is	be	AUX
bracis-28352	250	3	also	also	ADV
bracis-28352	250	4	interesting	interesting	ADJ
bracis-28352	250	5	to	to	PART
bracis-28352	250	6	note	note	VERB
bracis-28352	250	7	that	that	SCONJ
bracis-28352	250	8	intermediate	intermediate	ADJ
bracis-28352	250	9	values	value	NOUN
bracis-28352	250	10	of	of	ADP
bracis-28352	250	11	\(\lambda	\(\lambda	NOUN
bracis-28352	250	12	\	\	NOUN
bracis-28352	250	13	)	)	PUNCT
bracis-28352	250	14	can	can	AUX
bracis-28352	250	15	cover	cover	VERB
bracis-28352	250	16	intermediate	intermediate	ADJ
bracis-28352	250	17	values	value	NOUN
bracis-28352	250	18	of	of	ADP
bracis-28352	250	19	probability	probability	NOUN
bracis-28352	250	20	-	-	PUNCT
bracis-28352	250	21	to	to	ADP
bracis-28352	250	22	-	-	PUNCT
bracis-28352	250	23	goal	goal	NOUN
bracis-28352	250	24	that	that	PRON
bracis-28352	250	25	higher	high	ADJ
bracis-28352	250	26	values	value	NOUN
bracis-28352	250	27	of	of	ADP
bracis-28352	250	28	\(\lambda	\(\lambda	NOUN
bracis-28352	250	29	\	\	NOUN
bracis-28352	250	30	)	)	PUNCT
bracis-28352	250	31	used	use	VERB
bracis-28352	250	32	can	can	AUX
bracis-28352	250	33	not	not	PART
bracis-28352	250	34	.	.	PUNCT
bracis-28352	251	1	for	for	ADP
bracis-28352	251	2	example	example	NOUN
bracis-28352	251	3	,	,	PUNCT
bracis-28352	251	4	in	in	ADP
bracis-28352	251	5	the	the	DET
bracis-28352	251	6	river	river	NOUN
bracis-28352	251	7	domain	domain	NOUN
bracis-28352	251	8	,	,	PUNCT
bracis-28352	251	9	when	when	SCONJ
bracis-28352	251	10	\(\lambda	\(\lambda	NOUN
bracis-28352	251	11	\	\	NOUN
bracis-28352	251	12	)	)	PUNCT
bracis-28352	251	13	is	be	AUX
bracis-28352	251	14	equal	equal	ADJ
bracis-28352	251	15	to	to	PART
bracis-28352	251	16	\(-0.1\	\(-0.1\	VERB
bracis-28352	251	17	)	)	PUNCT
bracis-28352	251	18	and	and	CCONJ
bracis-28352	251	19	\(-0.2\	\(-0.2\	NOUN
bracis-28352	251	20	)	)	PUNCT
bracis-28352	251	21	,	,	PUNCT
bracis-28352	251	22	values	value	NOUN
bracis-28352	251	23	of	of	ADP
bracis-28352	251	24	probability	probability	NOUN
bracis-28352	251	25	-	-	PUNCT
bracis-28352	251	26	to	to	ADP
bracis-28352	251	27	-	-	PUNCT
bracis-28352	251	28	goal	goal	NOUN
bracis-28352	251	29	close	close	ADV
bracis-28352	251	30	to	to	ADP
bracis-28352	251	31	0.6	0.6	NUM
bracis-28352	251	32	were	be	AUX
bracis-28352	251	33	obtained	obtain	VERB
bracis-28352	251	34	,	,	PUNCT
bracis-28352	251	35	which	which	PRON
bracis-28352	251	36	was	be	AUX
bracis-28352	251	37	not	not	PART
bracis-28352	251	38	the	the	DET
bracis-28352	251	39	case	case	NOUN
bracis-28352	251	40	when	when	SCONJ
bracis-28352	251	41	the	the	DET
bracis-28352	251	42	absolute	absolute	ADJ
bracis-28352	251	43	value	value	NOUN
bracis-28352	251	44	of	of	ADP
bracis-28352	251	45	\(\lambda	\(\lambda	NOUN
bracis-28352	251	46	\	\	NOUN
bracis-28352	251	47	)	)	PUNCT
bracis-28352	251	48	was	be	AUX
bracis-28352	251	49	higher	high	ADJ
bracis-28352	251	50	than	than	ADP
bracis-28352	251	51	\(-0.2\	\(-0.2\	ADJ
bracis-28352	251	52	)	)	PUNCT
bracis-28352	251	53	(	(	PUNCT
bracis-28352	251	54	i.e.	i.e.	X
bracis-28352	251	55	when	when	SCONJ
bracis-28352	251	56	\(\lambda	\(\lambda	NOUN
bracis-28352	251	57	\	\	NOUN
bracis-28352	251	58	)	)	PUNCT
bracis-28352	251	59	is	be	AUX
bracis-28352	251	60	equal	equal	ADJ
bracis-28352	251	61	to	to	ADP
bracis-28352	251	62	\(-0.3	\(-0.3	VERB
bracis-28352	251	63	,	,	PUNCT
bracis-28352	251	64	-0.4\	-0.4\	PROPN
bracis-28352	251	65	)	)	PUNCT
bracis-28352	251	66	,	,	PUNCT
bracis-28352	251	67	and	and	CCONJ
bracis-28352	251	68	\(-0.5\	\(-0.5\	NOUN
bracis-28352	251	69	)	)	PUNCT
bracis-28352	251	70	)	)	PUNCT
bracis-28352	251	71	.	.	PUNCT
bracis-28352	252	1	as	as	ADP
bracis-28352	252	2	another	another	DET
bracis-28352	252	3	example	example	NOUN
bracis-28352	252	4	,	,	PUNCT
bracis-28352	252	5	in	in	ADP
bracis-28352	252	6	the	the	DET
bracis-28352	252	7	navigation	navigation	NOUN
bracis-28352	252	8	domain	domain	NOUN
bracis-28352	252	9	when	when	SCONJ
bracis-28352	252	10	\(\lambda	\(\lambda	NOUN
bracis-28352	252	11	=	=	SYM
bracis-28352	252	12	-0.1\	-0.1\	PUNCT
bracis-28352	252	13	)	)	PUNCT
bracis-28352	252	14	,	,	PUNCT
bracis-28352	252	15	the	the	DET
bracis-28352	252	16	value	value	NOUN
bracis-28352	252	17	of	of	ADP
bracis-28352	252	18	about	about	ADV
bracis-28352	252	19	0.47	0.47	NUM
bracis-28352	252	20	was	be	AUX
bracis-28352	252	21	obtained	obtain	VERB
bracis-28352	252	22	,	,	PUNCT
bracis-28352	252	23	while	while	SCONJ
bracis-28352	252	24	for	for	ADP
bracis-28352	252	25	different	different	ADJ
bracis-28352	252	26	values	value	NOUN
bracis-28352	252	27	of	of	ADP
bracis-28352	252	28	\(\lambda	\(\lambda	NOUN
bracis-28352	252	29	\	\	NOUN
bracis-28352	252	30	)	)	PUNCT
bracis-28352	252	31	such	such	ADJ
bracis-28352	252	32	as	as	ADP
bracis-28352	252	33	\(-0.2\	\(-0.2\	PROPN
bracis-28352	252	34	)	)	PUNCT
bracis-28352	252	35	and	and	CCONJ
bracis-28352	252	36	for	for	ADP
bracis-28352	252	37	absolute	absolute	ADJ
bracis-28352	252	38	values	value	NOUN
bracis-28352	252	39	lower	low	ADJ
bracis-28352	252	40	than	than	ADP
bracis-28352	252	41	0.09	0.09	NUM
bracis-28352	252	42	(	(	PUNCT
bracis-28352	252	43	i.e.	i.e.	X
bracis-28352	252	44	when	when	SCONJ
bracis-28352	252	45	\(\lambda	\(\lambda	NOUN
bracis-28352	252	46	\	\	NOUN
bracis-28352	252	47	)	)	PUNCT
bracis-28352	252	48	is	be	AUX
bracis-28352	252	49	equal	equal	ADJ
bracis-28352	252	50	to	to	ADP
bracis-28352	252	51	\(-0.05	\(-0.05	NOUN
bracis-28352	252	52	,	,	PUNCT
bracis-28352	252	53	-0.06	-0.06	NUM
bracis-28352	252	54	,	,	PUNCT
bracis-28352	252	55	-0.07\	-0.07\	PROPN
bracis-28352	252	56	)	)	PUNCT
bracis-28352	252	57	,	,	PUNCT
bracis-28352	252	58	and	and	CCONJ
bracis-28352	252	59	\(-0.08\	\(-0.08\	NOUN
bracis-28352	252	60	)	)	PUNCT
bracis-28352	252	61	)	)	PUNCT
bracis-28352	252	62	,	,	PUNCT
bracis-28352	252	63	either	either	CCONJ
bracis-28352	252	64	a	a	DET
bracis-28352	252	65	value	value	NOUN
bracis-28352	252	66	close	close	ADV
bracis-28352	252	67	to	to	ADP
bracis-28352	252	68	0	0	NUM
bracis-28352	252	69	or	or	CCONJ
bracis-28352	252	70	close	close	ADV
bracis-28352	252	71	to	to	ADP
bracis-28352	252	72	the	the	DET
bracis-28352	252	73	maximum	maximum	ADJ
bracis-28352	252	74	probability	probability	NOUN
bracis-28352	252	75	-	-	PUNCT
bracis-28352	252	76	to	to	ADP
bracis-28352	252	77	-	-	PUNCT
bracis-28352	252	78	goal	goal	NOUN
bracis-28352	252	79	was	be	AUX
bracis-28352	252	80	obtained	obtain	VERB
bracis-28352	252	81	.	.	PUNCT
bracis-28352	253	1	fig	fig	NOUN
bracis-28352	253	2	.	.	PUNCT
bracis-28352	254	1	5	5	X
bracis-28352	254	2	.	.	X
bracis-28352	254	3	results	result	NOUN
bracis-28352	254	4	for	for	ADP
bracis-28352	254	5	the	the	DET
bracis-28352	254	6	triangle	triangle	NOUN
bracis-28352	254	7	tireworld	tireworld	PRON
bracis-28352	254	8	domain	domain	NOUN
bracis-28352	254	9	.	.	PUNCT
bracis-28352	255	1	full	full	ADJ
bracis-28352	255	2	size	size	NOUN
bracis-28352	255	3	image	image	NOUN
bracis-28352	255	4	5	5	NUM
bracis-28352	255	5	conclusion	conclusion	NOUN
bracis-28352	255	6	in	in	ADP
bracis-28352	255	7	this	this	DET
bracis-28352	255	8	paper	paper	NOUN
bracis-28352	255	9	,	,	PUNCT
bracis-28352	255	10	we	we	PRON
bracis-28352	255	11	define	define	VERB
bracis-28352	255	12	\(\alpha	\(\alpha	NOUN
bracis-28352	255	13	\)-mcmp	\)-mcmp	NUM
bracis-28352	255	14	,	,	PUNCT
bracis-28352	255	15	a	a	DET
bracis-28352	255	16	criterion	criterion	NOUN
bracis-28352	255	17	to	to	PART
bracis-28352	255	18	solve	solve	VERB
bracis-28352	255	19	ssps	ssp	VERB
bracis-28352	255	20	with	with	ADP
bracis-28352	255	21	unavoidable	unavoidable	ADJ
bracis-28352	255	22	dead	dead	ADJ
bracis-28352	255	23	ends	end	NOUN
bracis-28352	255	24	,	,	PUNCT
bracis-28352	255	25	that	that	PRON
bracis-28352	255	26	is	be	AUX
bracis-28352	255	27	obtained	obtain	VERB
bracis-28352	255	28	from	from	ADP
bracis-28352	255	29	mcmp	mcmp	PROPN
bracis-28352	255	30	.	.	PUNCT
bracis-28352	256	1	we	we	PRON
bracis-28352	256	2	also	also	ADV
bracis-28352	256	3	show	show	VERB
bracis-28352	256	4	how	how	SCONJ
bracis-28352	256	5	the	the	DET
bracis-28352	256	6	modifications	modification	NOUN
bracis-28352	256	7	that	that	PRON
bracis-28352	256	8	were	be	AUX
bracis-28352	256	9	done	do	VERB
bracis-28352	256	10	to	to	PART
bracis-28352	256	11	mcmp	mcmp	NOUN
bracis-28352	256	12	to	to	PART
bracis-28352	256	13	generate	generate	VERB
bracis-28352	256	14	\(\alpha	\(\alpha	NOUN
bracis-28352	256	15	\)-mcmp	\)-mcmp	PRON
bracis-28352	256	16	make	make	VERB
bracis-28352	256	17	it	it	PRON
bracis-28352	256	18	guarantee	guarantee	VERB
bracis-28352	256	19	the	the	DET
bracis-28352	256	20	\(\alpha	\(\alpha	NOUN
bracis-28352	256	21	\)-strong	\)-strong	ADP
bracis-28352	256	22	probability	probability	NOUN
bracis-28352	256	23	-	-	PUNCT
bracis-28352	256	24	to	to	ADP
bracis-28352	256	25	-	-	PUNCT
bracis-28352	256	26	goal	goal	NOUN
bracis-28352	256	27	priority	priority	NOUN
bracis-28352	256	28	property	property	NOUN
bracis-28352	256	29	.	.	PUNCT
bracis-28352	257	1	besides	besides	SCONJ
bracis-28352	257	2	this	this	PRON
bracis-28352	257	3	,	,	PUNCT
bracis-28352	257	4	\(\alpha	\(\alpha	PROPN
bracis-28352	257	5	\)-mcmp	\)-mcmp	PRON
bracis-28352	257	6	also	also	ADV
bracis-28352	257	7	provides	provide	VERB
bracis-28352	257	8	good	good	ADJ
bracis-28352	257	9	advantages	advantage	NOUN
bracis-28352	257	10	inherited	inherit	VERB
bracis-28352	257	11	from	from	ADP
bracis-28352	257	12	mcmp	mcmp	PROPN
bracis-28352	257	13	,	,	PUNCT
bracis-28352	257	14	such	such	ADJ
bracis-28352	257	15	as	as	ADP
bracis-28352	257	16	markovian	markovian	ADJ
bracis-28352	257	17	policies	policy	NOUN
bracis-28352	257	18	and	and	CCONJ
bracis-28352	257	19	efficient	efficient	ADJ
bracis-28352	257	20	state	state	NOUN
bracis-28352	257	21	-	-	PUNCT
bracis-28352	257	22	of	of	ADP
bracis-28352	257	23	-	-	PUNCT
bracis-28352	257	24	the	the	DET
bracis-28352	257	25	-	-	PUNCT
bracis-28352	257	26	art	art	NOUN
bracis-28352	257	27	methods	method	NOUN
bracis-28352	257	28	to	to	PART
bracis-28352	257	29	solve	solve	VERB
bracis-28352	257	30	it	it	PRON
bracis-28352	257	31	.	.	PUNCT
bracis-28352	258	1	it	it	PRON
bracis-28352	258	2	also	also	ADV
bracis-28352	258	3	has	have	VERB
bracis-28352	258	4	some	some	DET
bracis-28352	258	5	differences	difference	NOUN
bracis-28352	258	6	when	when	SCONJ
bracis-28352	258	7	compared	compare	VERB
bracis-28352	258	8	to	to	ADP
bracis-28352	258	9	gubs	gub	NOUN
bracis-28352	258	10	,	,	PUNCT
bracis-28352	258	11	such	such	ADJ
bracis-28352	258	12	as	as	ADP
bracis-28352	258	13	when	when	SCONJ
bracis-28352	258	14	preferring	prefer	VERB
bracis-28352	258	15	policies	policy	NOUN
bracis-28352	258	16	that	that	PRON
bracis-28352	258	17	might	might	AUX
bracis-28352	258	18	give	give	VERB
bracis-28352	258	19	up	up	ADP
bracis-28352	258	20	in	in	ADP
bracis-28352	258	21	the	the	DET
bracis-28352	258	22	middle	middle	NOUN
bracis-28352	258	23	of	of	ADP
bracis-28352	258	24	the	the	DET
bracis-28352	258	25	process	process	NOUN
bracis-28352	258	26	instead	instead	ADV
bracis-28352	258	27	of	of	ADP
bracis-28352	258	28	policies	policy	NOUN
bracis-28352	258	29	that	that	PRON
bracis-28352	258	30	do	do	AUX
bracis-28352	258	31	not	not	PART
bracis-28352	258	32	do	do	VERB
bracis-28352	258	33	it	it	PRON
bracis-28352	258	34	.	.	PUNCT
bracis-28352	259	1	finally	finally	ADV
bracis-28352	259	2	,	,	PUNCT
bracis-28352	259	3	we	we	PRON
bracis-28352	259	4	performed	perform	VERB
bracis-28352	259	5	experiments	experiment	NOUN
bracis-28352	259	6	to	to	PART
bracis-28352	259	7	evaluate	evaluate	VERB
bracis-28352	259	8	policies	policy	NOUN
bracis-28352	259	9	obtained	obtain	VERB
bracis-28352	259	10	by	by	ADP
bracis-28352	259	11	\(\alpha	\(\alpha	NOUN
bracis-28352	259	12	\)-mcmp	\)-mcmp	PRON
bracis-28352	259	13	and	and	CCONJ
bracis-28352	259	14	compared	compare	VERB
bracis-28352	259	15	them	they	PRON
bracis-28352	259	16	to	to	ADP
bracis-28352	259	17	policies	policy	NOUN
bracis-28352	259	18	generated	generate	VERB
bracis-28352	259	19	by	by	ADP
bracis-28352	259	20	the	the	DET
bracis-28352	259	21	egubs	egub	NOUN
bracis-28352	259	22	criterion	criterion	NOUN
bracis-28352	259	23	.	.	PUNCT
bracis-28352	260	1	the	the	DET
bracis-28352	260	2	results	result	NOUN
bracis-28352	260	3	indicate	indicate	VERB
bracis-28352	260	4	that	that	SCONJ
bracis-28352	260	5	we	we	PRON
bracis-28352	260	6	can	can	AUX
bracis-28352	260	7	make	make	VERB
bracis-28352	260	8	trade	trade	NOUN
bracis-28352	260	9	-	-	PUNCT
bracis-28352	260	10	offs	off	NOUN
bracis-28352	260	11	in	in	ADP
bracis-28352	260	12	both	both	DET
bracis-28352	260	13	criteria	criterion	NOUN
bracis-28352	260	14	by	by	ADP
bracis-28352	260	15	choosing	choose	VERB
bracis-28352	260	16	values	value	NOUN
bracis-28352	260	17	of	of	ADP
bracis-28352	260	18	\(\alpha	\(\alpha	NOUN
bracis-28352	260	19	\	\	NOUN
bracis-28352	260	20	)	)	PUNCT
bracis-28352	260	21	a	a	PRON
bracis-28352	260	22	priori	priori	ADV
bracis-28352	260	23	.	.	PUNCT
bracis-28352	261	1	nonetheless	nonetheless	ADV
bracis-28352	261	2	,	,	PUNCT
bracis-28352	261	3	the	the	DET
bracis-28352	261	4	way	way	NOUN
bracis-28352	261	5	that	that	PRON
bracis-28352	261	6	these	these	DET
bracis-28352	261	7	criteria	criterion	NOUN
bracis-28352	261	8	make	make	VERB
bracis-28352	261	9	this	this	DET
bracis-28352	261	10	trade	trade	NOUN
bracis-28352	261	11	-	-	PUNCT
bracis-28352	261	12	off	off	NOUN
bracis-28352	261	13	is	be	AUX
bracis-28352	261	14	different	different	ADJ
bracis-28352	261	15	.	.	PUNCT
bracis-28352	262	1	\(\alpha	\(\alpha	PROPN
bracis-28352	262	2	\)-mcmp	\)-mcmp	PRON
bracis-28352	262	3	always	always	ADV
bracis-28352	262	4	has	have	VERB
bracis-28352	262	5	probability	probability	NOUN
bracis-28352	262	6	-	-	PUNCT
bracis-28352	262	7	to	to	ADP
bracis-28352	262	8	-	-	PUNCT
bracis-28352	262	9	goal	goal	NOUN
bracis-28352	262	10	equal	equal	ADJ
bracis-28352	262	11	to	to	ADP
bracis-28352	262	12	\(\alpha	\(\alpha	NOUN
bracis-28352	262	13	p_g(s_0)\	p_g(s_0)\	ADJ
bracis-28352	262	14	)	)	PUNCT
bracis-28352	262	15	,	,	PUNCT
bracis-28352	262	16	while	while	SCONJ
bracis-28352	262	17	the	the	DET
bracis-28352	262	18	compromise	compromise	NOUN
bracis-28352	262	19	made	make	VERB
bracis-28352	262	20	by	by	ADP
bracis-28352	262	21	egubs	egub	NOUN
bracis-28352	262	22	will	will	AUX
bracis-28352	262	23	depend	depend	VERB
bracis-28352	262	24	on	on	ADP
bracis-28352	262	25	the	the	DET
bracis-28352	262	26	value	value	NOUN
bracis-28352	262	27	of	of	ADP
bracis-28352	262	28	\(\lambda	\(\lambda	NOUN
bracis-28352	262	29	\	\	NOUN
bracis-28352	262	30	)	)	PUNCT
bracis-28352	262	31	used	use	VERB
bracis-28352	262	32	in	in	ADP
bracis-28352	262	33	its	its	PRON
bracis-28352	262	34	utility	utility	NOUN
bracis-28352	262	35	function	function	NOUN
bracis-28352	262	36	.	.	PUNCT
bracis-28352	263	1	this	this	DET
bracis-28352	263	2	paper	paper	NOUN
bracis-28352	263	3	attempts	attempt	VERB
bracis-28352	263	4	to	to	PART
bracis-28352	263	5	contribute	contribute	VERB
bracis-28352	263	6	in	in	ADP
bracis-28352	263	7	the	the	DET
bracis-28352	263	8	general	general	ADJ
bracis-28352	263	9	understanding	understanding	NOUN
bracis-28352	263	10	of	of	ADP
bracis-28352	263	11	sequential	sequential	ADJ
bracis-28352	263	12	decision	decision	NOUN
bracis-28352	263	13	making	making	NOUN
bracis-28352	263	14	in	in	ADP
bracis-28352	263	15	the	the	DET
bracis-28352	263	16	presence	presence	NOUN
bracis-28352	263	17	of	of	ADP
bracis-28352	263	18	unavoidable	unavoidable	ADJ
bracis-28352	263	19	dead	dead	ADJ
bracis-28352	263	20	-	-	PUNCT
bracis-28352	263	21	end	end	NOUN
bracis-28352	263	22	states	state	NOUN
bracis-28352	263	23	,	,	PUNCT
bracis-28352	263	24	such	such	ADJ
bracis-28352	263	25	as	as	ADP
bracis-28352	263	26	several	several	ADJ
bracis-28352	263	27	other	other	ADJ
bracis-28352	263	28	works	work	NOUN
bracis-28352	263	29	in	in	ADP
bracis-28352	263	30	this	this	DET
bracis-28352	263	31	area	area	NOUN
bracis-28352	264	1	[	[	X
bracis-28352	264	2	2	2	NUM
bracis-28352	264	3	,	,	PUNCT
bracis-28352	264	4	4,5,6,7	4,5,6,7	NUM
bracis-28352	264	5	,	,	PUNCT
bracis-28352	264	6	14,15,16	14,15,16	NUM
bracis-28352	264	7	]	]	PUNCT
bracis-28352	264	8	.	.	PUNCT
bracis-28352	265	1	notes	note	VERB
bracis-28352	265	2	1.note	1.note	NUM
bracis-28352	265	3	that	that	SCONJ
bracis-28352	265	4	not	not	PART
bracis-28352	265	5	every	every	DET
bracis-28352	265	6	line	line	NOUN
bracis-28352	265	7	representing	represent	VERB
bracis-28352	265	8	a	a	DET
bracis-28352	265	9	value	value	NOUN
bracis-28352	265	10	of	of	ADP
bracis-28352	265	11	\(\lambda	\(\lambda	NOUN
bracis-28352	265	12	\	\	NOUN
bracis-28352	265	13	)	)	PUNCT
bracis-28352	265	14	can	can	AUX
bracis-28352	265	15	be	be	AUX
bracis-28352	265	16	seen	see	VERB
bracis-28352	265	17	in	in	ADP
bracis-28352	265	18	the	the	DET
bracis-28352	265	19	figures	figure	NOUN
bracis-28352	265	20	,	,	PUNCT
bracis-28352	265	21	because	because	SCONJ
bracis-28352	265	22	the	the	DET
bracis-28352	265	23	values	value	NOUN
bracis-28352	265	24	in	in	ADP
bracis-28352	265	25	these	these	DET
bracis-28352	265	26	lines	line	NOUN
bracis-28352	265	27	might	might	AUX
bracis-28352	265	28	be	be	AUX
bracis-28352	265	29	very	very	ADV
bracis-28352	265	30	close	close	ADJ
bracis-28352	265	31	to	to	ADP
bracis-28352	265	32	the	the	DET
bracis-28352	265	33	values	value	NOUN
bracis-28352	265	34	in	in	ADP
bracis-28352	265	35	others	other	NOUN
bracis-28352	265	36	,	,	PUNCT
bracis-28352	265	37	which	which	PRON
bracis-28352	265	38	can	can	AUX
bracis-28352	265	39	make	make	VERB
bracis-28352	265	40	them	they	PRON
bracis-28352	265	41	get	get	AUX
bracis-28352	265	42	covered	cover	VERB
bracis-28352	265	43	by	by	ADP
bracis-28352	265	44	these	these	DET
bracis-28352	265	45	other	other	ADJ
bracis-28352	265	46	lines	line	NOUN
bracis-28352	265	47	.	.	PUNCT
bracis-28352	266	1	references	reference	NOUN
bracis-28352	266	2	bertsekas	bertsekas	PROPN
bracis-28352	266	3	,	,	PUNCT
bracis-28352	266	4	d.	d.	PROPN
bracis-28352	266	5	:	:	PUNCT
bracis-28352	266	6	dynamic	dynamic	ADJ
bracis-28352	266	7	programming	programming	NOUN
bracis-28352	266	8	and	and	CCONJ
bracis-28352	266	9	optimal	optimal	ADJ
bracis-28352	266	10	control	control	NOUN
bracis-28352	266	11	.	.	PUNCT
bracis-28352	267	1	athena	athena	PROPN
bracis-28352	267	2	scientific	scientific	PROPN
bracis-28352	267	3	,	,	PUNCT
bracis-28352	267	4	belmont	belmont	PROPN
bracis-28352	267	5	,	,	PUNCT
bracis-28352	267	6	mass	mass	NOUN
bracis-28352	267	7	(	(	PUNCT
bracis-28352	267	8	1995	1995	NUM
bracis-28352	267	9	)	)	PUNCT
bracis-28352	267	10	math	math	NOUN
bracis-28352	267	11	  	  	SPACE
bracis-28352	267	12	google	google	PROPN
bracis-28352	267	13	scholar	scholar	NOUN
bracis-28352	267	14	  	  	SPACE
bracis-28352	267	15	crispino	crispino	NOUN
bracis-28352	267	16	,	,	PUNCT
bracis-28352	267	17	g.n	g.n	PROPN
bracis-28352	267	18	.	.	PROPN
bracis-28352	267	19	,	,	PUNCT
bracis-28352	267	20	freire	freire	PROPN
bracis-28352	267	21	,	,	PUNCT
bracis-28352	267	22	v.	v.	PROPN
bracis-28352	267	23	,	,	PUNCT
bracis-28352	267	24	delgado	delgado	PROPN
bracis-28352	267	25	,	,	PUNCT
bracis-28352	267	26	k.v	k.v	PROPN
bracis-28352	267	27	.	.	PUNCT
bracis-28352	267	28	:	:	PUNCT
bracis-28352	268	1	gubs	gubs	ADJ
bracis-28352	268	2	criterion	criterion	NOUN
bracis-28352	268	3	:	:	PUNCT
bracis-28352	268	4	arbitrary	arbitrary	ADJ
bracis-28352	268	5	trade	trade	NOUN
bracis-28352	268	6	-	-	PUNCT
bracis-28352	268	7	offs	off	NOUN
bracis-28352	268	8	between	between	ADP
bracis-28352	268	9	cost	cost	NOUN
bracis-28352	268	10	and	and	CCONJ
bracis-28352	268	11	probability	probability	NOUN
bracis-28352	268	12	-	-	PUNCT
bracis-28352	268	13	to	to	ADP
bracis-28352	268	14	-	-	PUNCT
bracis-28352	268	15	goal	goal	NOUN
bracis-28352	268	16	in	in	ADP
bracis-28352	268	17	stochastic	stochastic	ADJ
bracis-28352	268	18	planning	planning	NOUN
bracis-28352	268	19	based	base	VERB
bracis-28352	268	20	on	on	ADP
bracis-28352	268	21	expected	expect	VERB
bracis-28352	268	22	utility	utility	NOUN
bracis-28352	268	23	theory	theory	NOUN
bracis-28352	268	24	.	.	PUNCT
bracis-28352	269	1	artif	artif	INTJ
bracis-28352	269	2	.	.	PUNCT
bracis-28352	270	1	intell	intell	PROPN
bracis-28352	270	2	.	.	PUNCT
bracis-28352	271	1	316	316	NUM
bracis-28352	271	2	,	,	PUNCT
bracis-28352	271	3	103848	103848	NUM
bracis-28352	271	4	(	(	PUNCT
bracis-28352	271	5	2023	2023	NUM
bracis-28352	271	6	)	)	PUNCT
bracis-28352	271	7	article	article	NOUN
bracis-28352	271	8	  	  	SPACE
bracis-28352	271	9	mathscinet	mathscinet	NOUN
bracis-28352	271	10	  	  	SPACE
bracis-28352	271	11	math	math	NOUN
bracis-28352	271	12	  	  	SPACE
bracis-28352	271	13	google	google	PROPN
bracis-28352	271	14	scholar	scholar	NOUN
bracis-28352	271	15	  	  	SPACE
bracis-28352	271	16	d’epenoux	d’epenoux	NOUN
bracis-28352	271	17	,	,	PUNCT
bracis-28352	271	18	f.	f.	PROPN
bracis-28352	271	19	:	:	PUNCT
bracis-28352	271	20	a	a	DET
bracis-28352	271	21	probabilistic	probabilistic	ADJ
bracis-28352	271	22	production	production	NOUN
bracis-28352	271	23	and	and	CCONJ
bracis-28352	271	24	inventory	inventory	NOUN
bracis-28352	271	25	problem	problem	NOUN
bracis-28352	271	26	.	.	PUNCT
bracis-28352	272	1	manage	manage	VERB
bracis-28352	272	2	.	.	PUNCT
bracis-28352	273	1	sci	sci	PROPN
bracis-28352	273	2	.	.	PUNCT
bracis-28352	273	3	10(1	10(1	NUM
bracis-28352	273	4	)	)	PUNCT
bracis-28352	273	5	,	,	PUNCT
bracis-28352	273	6	98–108	98–108	PROPN
bracis-28352	273	7	(	(	PUNCT
bracis-28352	273	8	1963	1963	NUM
bracis-28352	273	9	)	)	PUNCT
bracis-28352	273	10	article	article	NOUN
bracis-28352	273	11	  	  	SPACE
bracis-28352	273	12	google	google	PROPN
bracis-28352	273	13	scholar	scholar	NOUN
bracis-28352	273	14	  	  	SPACE
bracis-28352	273	15	freire	freire	NOUN
bracis-28352	273	16	,	,	PUNCT
bracis-28352	273	17	v.	v.	PROPN
bracis-28352	273	18	,	,	PUNCT
bracis-28352	273	19	delgado	delgado	PROPN
bracis-28352	273	20	,	,	PUNCT
bracis-28352	273	21	k.v	k.v	PROPN
bracis-28352	273	22	.	.	PUNCT
bracis-28352	273	23	:	:	PUNCT
bracis-28352	274	1	gubs	gub	NOUN
bracis-28352	274	2	:	:	PUNCT
bracis-28352	274	3	a	a	DET
bracis-28352	274	4	utility	utility	NOUN
bracis-28352	274	5	-	-	PUNCT
bracis-28352	274	6	based	base	VERB
bracis-28352	274	7	semantic	semantic	NOUN
bracis-28352	274	8	for	for	ADP
bracis-28352	274	9	goal	goal	NOUN
bracis-28352	274	10	-	-	PUNCT
bracis-28352	274	11	directed	direct	VERB
bracis-28352	274	12	markov	markov	NOUN
bracis-28352	274	13	decision	decision	NOUN
bracis-28352	274	14	processes	process	NOUN
bracis-28352	274	15	.	.	PUNCT
bracis-28352	275	1	in	in	ADP
bracis-28352	275	2	:	:	PUNCT
bracis-28352	275	3	proceedings	proceeding	NOUN
bracis-28352	275	4	of	of	ADP
bracis-28352	275	5	the	the	DET
bracis-28352	275	6	16th	16th	ADJ
bracis-28352	275	7	conference	conference	NOUN
bracis-28352	275	8	on	on	ADP
bracis-28352	275	9	autonomous	autonomous	ADJ
bracis-28352	275	10	agents	agent	NOUN
bracis-28352	275	11	and	and	CCONJ
bracis-28352	275	12	multiagent	multiagent	NOUN
bracis-28352	275	13	systems	system	NOUN
bracis-28352	275	14	,	,	PUNCT
bracis-28352	275	15	pp	pp	ADV
bracis-28352	275	16	.	.	PUNCT
bracis-28352	276	1	741–749	741–749	NUM
bracis-28352	276	2	(	(	PUNCT
bracis-28352	276	3	2017	2017	NUM
bracis-28352	276	4	)	)	PUNCT
bracis-28352	276	5	google	google	PROPN
bracis-28352	276	6	scholar	scholar	NOUN
bracis-28352	276	7	  	  	SPACE
bracis-28352	276	8	freire	freire	NOUN
bracis-28352	276	9	,	,	PUNCT
bracis-28352	276	10	v.	v.	PROPN
bracis-28352	276	11	,	,	PUNCT
bracis-28352	276	12	delgado	delgado	PROPN
bracis-28352	276	13	,	,	PUNCT
bracis-28352	276	14	k.v	k.v	PROPN
bracis-28352	276	15	.	.	PROPN
bracis-28352	276	16	,	,	PUNCT
bracis-28352	276	17	reis	reis	NOUN
bracis-28352	276	18	,	,	PUNCT
bracis-28352	276	19	w.a.s	w.a.s	PROPN
bracis-28352	276	20	.	.	PROPN
bracis-28352	276	21	:	:	PUNCT
bracis-28352	277	1	an	an	DET
bracis-28352	277	2	exact	exact	ADJ
bracis-28352	277	3	algorithm	algorithm	NOUN
bracis-28352	277	4	to	to	PART
bracis-28352	277	5	make	make	VERB
bracis-28352	277	6	a	a	DET
bracis-28352	277	7	trade	trade	NOUN
bracis-28352	277	8	-	-	PUNCT
bracis-28352	277	9	off	off	NOUN
bracis-28352	277	10	between	between	ADP
bracis-28352	277	11	cost	cost	NOUN
bracis-28352	277	12	and	and	CCONJ
bracis-28352	277	13	probability	probability	NOUN
bracis-28352	277	14	in	in	ADP
bracis-28352	277	15	ssps	ssps	NOUN
bracis-28352	277	16	.	.	PUNCT
bracis-28352	278	1	in	in	ADP
bracis-28352	278	2	:	:	PUNCT
bracis-28352	278	3	proceedings	proceeding	NOUN
bracis-28352	278	4	of	of	ADP
bracis-28352	278	5	the	the	DET
bracis-28352	278	6	international	international	ADJ
bracis-28352	278	7	conference	conference	NOUN
bracis-28352	278	8	on	on	ADP
bracis-28352	278	9	automated	automate	VERB
bracis-28352	278	10	planning	planning	NOUN
bracis-28352	278	11	and	and	CCONJ
bracis-28352	278	12	scheduling	scheduling	NOUN
bracis-28352	278	13	,	,	PUNCT
bracis-28352	278	14	vol	vol	NOUN
bracis-28352	278	15	.	.	PROPN
bracis-28352	278	16	29	29	NUM
bracis-28352	278	17	,	,	PUNCT
bracis-28352	278	18	pp	pp	ADJ
bracis-28352	278	19	.	.	PUNCT
bracis-28352	279	1	146–154	146–154	NUM
bracis-28352	279	2	(	(	PUNCT
bracis-28352	279	3	2019	2019	NUM
bracis-28352	279	4	)	)	PUNCT
bracis-28352	279	5	google	google	PROPN
bracis-28352	279	6	scholar	scholar	NOUN
bracis-28352	279	7	  	  	SPACE
bracis-28352	279	8	kolobov	kolobov	PROPN
bracis-28352	279	9	,	,	PUNCT
bracis-28352	279	10	a.	a.	NOUN
bracis-28352	279	11	,	,	PUNCT
bracis-28352	279	12	weld	weld	NOUN
bracis-28352	279	13	,	,	PUNCT
bracis-28352	279	14	d.	d.	PROPN
bracis-28352	279	15	,	,	PUNCT
bracis-28352	279	16	et	et	PROPN
bracis-28352	279	17	al	al	PROPN
bracis-28352	279	18	.	.	PUNCT
bracis-28352	279	19	:	:	PUNCT
bracis-28352	280	1	a	a	DET
bracis-28352	280	2	theory	theory	NOUN
bracis-28352	280	3	of	of	ADP
bracis-28352	280	4	goal	goal	NOUN
bracis-28352	280	5	-	-	PUNCT
bracis-28352	280	6	oriented	orient	VERB
bracis-28352	280	7	mdps	mdps	NOUN
bracis-28352	280	8	with	with	ADP
bracis-28352	280	9	dead	dead	ADJ
bracis-28352	280	10	ends	end	NOUN
bracis-28352	280	11	.	.	PUNCT
bracis-28352	281	1	in	in	ADP
bracis-28352	281	2	:	:	PUNCT
bracis-28352	281	3	uncertainty	uncertainty	NOUN
bracis-28352	281	4	in	in	ADP
bracis-28352	281	5	artificial	artificial	ADJ
bracis-28352	281	6	intelligence	intelligence	NOUN
bracis-28352	281	7	:	:	PUNCT
bracis-28352	281	8	proceedings	proceeding	NOUN
bracis-28352	281	9	of	of	ADP
bracis-28352	281	10	the	the	DET
bracis-28352	281	11	twenty	twenty	NUM
bracis-28352	281	12	-	-	PUNCT
bracis-28352	281	13	eighth	eighth	ADJ
bracis-28352	281	14	conference	conference	NOUN
bracis-28352	281	15	[	[	X
bracis-28352	281	16	on	on	ADP
bracis-28352	281	17	uncertainty	uncertainty	NOUN
bracis-28352	281	18	in	in	ADP
bracis-28352	281	19	artificial	artificial	ADJ
bracis-28352	281	20	intelligence	intelligence	NOUN
bracis-28352	281	21	]	]	PUNCT
bracis-28352	281	22	(	(	PUNCT
bracis-28352	281	23	2012	2012	NUM
bracis-28352	281	24	)	)	PUNCT
bracis-28352	281	25	,	,	PUNCT
bracis-28352	281	26	pp	pp	ADP
bracis-28352	281	27	.	.	PUNCT
bracis-28352	282	1	438–447	438–447	NUM
bracis-28352	282	2	(	(	PUNCT
bracis-28352	282	3	2012	2012	NUM
bracis-28352	282	4	)	)	PUNCT
bracis-28352	282	5	google	google	PROPN
bracis-28352	282	6	scholar	scholar	NOUN
bracis-28352	282	7	  	  	SPACE
bracis-28352	282	8	kolobov	kolobov	PROPN
bracis-28352	282	9	,	,	PUNCT
bracis-28352	282	10	a.	a.	NOUN
bracis-28352	282	11	,	,	PUNCT
bracis-28352	282	12	weld	weld	NOUN
bracis-28352	282	13	,	,	PUNCT
bracis-28352	282	14	d.s	d.s	PROPN
bracis-28352	282	15	.	.	PROPN
bracis-28352	282	16	,	,	PUNCT
bracis-28352	282	17	geffner	geffner	PROPN
bracis-28352	282	18	,	,	PUNCT
bracis-28352	282	19	h.	h.	PROPN
bracis-28352	282	20	:	:	PUNCT
bracis-28352	282	21	heuristic	heuristic	ADJ
bracis-28352	282	22	search	search	NOUN
bracis-28352	282	23	for	for	ADP
bracis-28352	282	24	generalized	generalized	ADJ
bracis-28352	282	25	stochastic	stochastic	ADJ
bracis-28352	282	26	shortest	short	ADJ
bracis-28352	282	27	path	path	NOUN
bracis-28352	282	28	mdps	mdps	NOUN
bracis-28352	282	29	.	.	PUNCT
bracis-28352	283	1	in	in	ADP
bracis-28352	283	2	:	:	PUNCT
bracis-28352	283	3	proceedings	proceeding	NOUN
bracis-28352	283	4	of	of	ADP
bracis-28352	283	5	the	the	DET
bracis-28352	283	6	twenty	twenty	NUM
bracis-28352	283	7	-	-	PUNCT
bracis-28352	283	8	first	first	ADJ
bracis-28352	283	9	international	international	ADJ
bracis-28352	283	10	conference	conference	NOUN
bracis-28352	283	11	on	on	ADP
bracis-28352	283	12	international	international	ADJ
bracis-28352	283	13	conference	conference	NOUN
bracis-28352	283	14	on	on	ADP
bracis-28352	283	15	automated	automate	VERB
bracis-28352	283	16	planning	planning	NOUN
bracis-28352	283	17	and	and	CCONJ
bracis-28352	283	18	scheduling	scheduling	NOUN
bracis-28352	283	19	,	,	PUNCT
bracis-28352	283	20	pp	pp	ADP
bracis-28352	283	21	.	.	PUNCT
bracis-28352	284	1	130–137	130–137	NUM
bracis-28352	284	2	(	(	PUNCT
bracis-28352	284	3	2011	2011	NUM
bracis-28352	284	4	)	)	PUNCT
bracis-28352	284	5	google	google	PROPN
bracis-28352	284	6	scholar	scholar	NOUN
bracis-28352	284	7	  	  	SPACE
bracis-28352	284	8	kuo	kuo	PROPN
bracis-28352	284	9	,	,	PUNCT
bracis-28352	284	10	i.	i.	PROPN
bracis-28352	284	11	,	,	PUNCT
bracis-28352	284	12	freire	freire	PROPN
bracis-28352	284	13	,	,	PUNCT
bracis-28352	284	14	v.	v.	ADJ
bracis-28352	284	15	:	:	PUNCT
bracis-28352	284	16	probability	probability	NOUN
bracis-28352	284	17	-	-	PUNCT
bracis-28352	284	18	to	to	ADP
bracis-28352	284	19	-	-	PUNCT
bracis-28352	284	20	goal	goal	NOUN
bracis-28352	284	21	and	and	CCONJ
bracis-28352	284	22	expected	expect	VERB
bracis-28352	284	23	cost	cost	NOUN
bracis-28352	284	24	trade	trade	NOUN
bracis-28352	284	25	-	-	PUNCT
bracis-28352	284	26	off	off	NOUN
bracis-28352	284	27	in	in	ADP
bracis-28352	284	28	stochastic	stochastic	ADJ
bracis-28352	284	29	shortest	short	ADJ
bracis-28352	284	30	path	path	NOUN
bracis-28352	284	31	.	.	PUNCT
bracis-28352	285	1	in	in	ADP
bracis-28352	285	2	:	:	PUNCT
bracis-28352	285	3	gervasi	gervasi	NOUN
bracis-28352	285	4	,	,	PUNCT
bracis-28352	285	5	o.	o.	PROPN
bracis-28352	285	6	,	,	PUNCT
bracis-28352	285	7	murgante	murgante	PROPN
bracis-28352	285	8	,	,	PUNCT
bracis-28352	285	9	b.	b.	PROPN
bracis-28352	285	10	,	,	PUNCT
bracis-28352	285	11	misra	misra	PROPN
bracis-28352	285	12	,	,	PUNCT
bracis-28352	285	13	s.	s.	PROPN
bracis-28352	285	14	,	,	PUNCT
bracis-28352	285	15	garau	garau	NOUN
bracis-28352	285	16	,	,	PUNCT
bracis-28352	285	17	c.	c.	PROPN
bracis-28352	285	18	,	,	PUNCT
bracis-28352	285	19	blečić	blečić	PROPN
bracis-28352	285	20	,	,	PUNCT
bracis-28352	285	21	i.	i.	NOUN
bracis-28352	285	22	,	,	PUNCT
bracis-28352	285	23	taniar	taniar	NOUN
bracis-28352	285	24	,	,	PUNCT
bracis-28352	285	25	d.	d.	PROPN
bracis-28352	285	26	,	,	PUNCT
bracis-28352	285	27	apduhan	apduhan	PROPN
bracis-28352	285	28	,	,	PUNCT
bracis-28352	285	29	b.o	b.o	PROPN
bracis-28352	285	30	.	.	PROPN
bracis-28352	285	31	,	,	PUNCT
bracis-28352	285	32	rocha	rocha	PROPN
bracis-28352	285	33	,	,	PUNCT
bracis-28352	285	34	a.m.a.c	a.m.a.c	PROPN
bracis-28352	285	35	.	.	PROPN
bracis-28352	285	36	,	,	PUNCT
bracis-28352	285	37	tarantino	tarantino	PROPN
bracis-28352	285	38	,	,	PUNCT
bracis-28352	285	39	e.	e.	PROPN
bracis-28352	285	40	,	,	PUNCT
bracis-28352	285	41	torre	torre	PROPN
bracis-28352	285	42	,	,	PUNCT
bracis-28352	285	43	c.m	c.m	PROPN
bracis-28352	285	44	.	.	PROPN
bracis-28352	285	45	(	(	PUNCT
bracis-28352	285	46	eds	ed	NOUN
bracis-28352	285	47	.	.	PUNCT
bracis-28352	285	48	)	)	PUNCT
bracis-28352	285	49	iccsa	iccsa	VERB
bracis-28352	285	50	2021	2021	NUM
bracis-28352	285	51	.	.	PUNCT
bracis-28352	286	1	lncs	lncs	PROPN
bracis-28352	286	2	,	,	PUNCT
bracis-28352	286	3	vol	vol	NOUN
bracis-28352	286	4	.	.	PROPN
bracis-28352	286	5	12951	12951	NUM
bracis-28352	286	6	,	,	PUNCT
bracis-28352	286	7	pp	pp	ADP
bracis-28352	286	8	.	.	PUNCT
bracis-28352	287	1	111–125	111–125	NUM
bracis-28352	287	2	.	.	PUNCT
bracis-28352	287	3	springer	springer	NOUN
bracis-28352	287	4	,	,	PUNCT
bracis-28352	287	5	cham	cham	PROPN
bracis-28352	287	6	(	(	PUNCT
bracis-28352	287	7	2021	2021	NUM
bracis-28352	287	8	)	)	PUNCT
bracis-28352	287	9	.	.	PUNCT
bracis-28352	288	1	https://doi.org/10.1007/978-3-030-86970-0_9	https://doi.org/10.1007/978-3-030-86970-0_9	NOUN
bracis-28352	288	2	chapter	chapter	NOUN
bracis-28352	288	3	  	  	SPACE
bracis-28352	288	4	google	google	PROPN
bracis-28352	288	5	scholar	scholar	NOUN
bracis-28352	288	6	  	  	SPACE
bracis-28352	288	7	little	little	ADJ
bracis-28352	288	8	,	,	PUNCT
bracis-28352	288	9	i.	i.	NOUN
bracis-28352	288	10	,	,	PUNCT
bracis-28352	288	11	thiebaux	thiebaux	PROPN
bracis-28352	288	12	,	,	PUNCT
bracis-28352	288	13	s.	s.	PROPN
bracis-28352	288	14	,	,	PUNCT
bracis-28352	288	15	et	et	PROPN
bracis-28352	288	16	al	al	PROPN
bracis-28352	288	17	.	.	PUNCT
bracis-28352	288	18	:	:	PUNCT
bracis-28352	289	1	probabilistic	probabilistic	ADJ
bracis-28352	289	2	planning	planning	NOUN
bracis-28352	289	3	vs.	vs.	ADP
bracis-28352	289	4	replanning	replanning	NOUN
bracis-28352	289	5	.	.	PUNCT
bracis-28352	290	1	in	in	ADP
bracis-28352	290	2	:	:	PUNCT
bracis-28352	290	3	icaps	icap	NOUN
bracis-28352	290	4	workshop	workshop	NOUN
bracis-28352	290	5	on	on	ADP
bracis-28352	290	6	ipc	ipc	PROPN
bracis-28352	290	7	:	:	PUNCT
bracis-28352	290	8	past	past	ADJ
bracis-28352	290	9	,	,	PUNCT
bracis-28352	290	10	present	present	ADJ
bracis-28352	290	11	and	and	CCONJ
bracis-28352	290	12	future	future	ADJ
bracis-28352	290	13	,	,	PUNCT
bracis-28352	290	14	pp	pp	PROPN
bracis-28352	290	15	.	.	PUNCT
bracis-28352	291	1	1–10	1–10	NOUN
bracis-28352	291	2	(	(	PUNCT
bracis-28352	291	3	2007	2007	NUM
bracis-28352	291	4	)	)	PUNCT
bracis-28352	291	5	google	google	PROPN
bracis-28352	291	6	scholar	scholar	NOUN
bracis-28352	291	7	  	  	SPACE
bracis-28352	291	8	patek	patek	NOUN
bracis-28352	291	9	,	,	PUNCT
bracis-28352	291	10	s.d	s.d	PROPN
bracis-28352	291	11	.	.	PUNCT
bracis-28352	291	12	:	:	PUNCT
bracis-28352	292	1	on	on	ADP
bracis-28352	292	2	terminating	terminate	VERB
bracis-28352	292	3	markov	markov	NOUN
bracis-28352	292	4	decision	decision	NOUN
bracis-28352	292	5	processes	process	NOUN
bracis-28352	292	6	with	with	ADP
bracis-28352	292	7	a	a	DET
bracis-28352	292	8	risk	risk	NOUN
bracis-28352	292	9	-	-	PUNCT
bracis-28352	292	10	averse	averse	ADJ
bracis-28352	292	11	objective	objective	ADJ
bracis-28352	292	12	function	function	NOUN
bracis-28352	292	13	.	.	PUNCT
bracis-28352	293	1	automatica	automatica	PROPN
bracis-28352	293	2	37(9	37(9	NUM
bracis-28352	293	3	)	)	PUNCT
bracis-28352	293	4	,	,	PUNCT
bracis-28352	293	5	1379–1386	1379–1386	NUM
bracis-28352	293	6	(	(	PUNCT
bracis-28352	293	7	2001	2001	NUM
bracis-28352	293	8	)	)	PUNCT
bracis-28352	293	9	article	article	NOUN
bracis-28352	293	10	  	  	SPACE
bracis-28352	293	11	math	math	NOUN
bracis-28352	293	12	  	  	SPACE
bracis-28352	293	13	google	google	PROPN
bracis-28352	293	14	scholar	scholar	NOUN
bracis-28352	293	15	  	  	SPACE
bracis-28352	293	16	puterman	puterman	NOUN
bracis-28352	293	17	,	,	PUNCT
bracis-28352	293	18	m.	m.	NOUN
bracis-28352	293	19	:	:	PUNCT
bracis-28352	293	20	markov	markov	NOUN
bracis-28352	293	21	decision	decision	NOUN
bracis-28352	293	22	processes	process	NOUN
bracis-28352	293	23	:	:	PUNCT
bracis-28352	293	24	discrete	discrete	VERB
bracis-28352	293	25	stochastic	stochastic	ADJ
bracis-28352	293	26	dynamic	dynamic	ADJ
bracis-28352	293	27	programming	programming	NOUN
bracis-28352	293	28	.	.	PUNCT
bracis-28352	294	1	wiley	wiley	PROPN
bracis-28352	294	2	,	,	PUNCT
bracis-28352	294	3	new	new	PROPN
bracis-28352	294	4	york	york	PROPN
bracis-28352	294	5	(	(	PUNCT
bracis-28352	294	6	1994	1994	NUM
bracis-28352	294	7	)	)	PUNCT
bracis-28352	294	8	book	book	NOUN
bracis-28352	294	9	  	  	SPACE
bracis-28352	294	10	math	math	NOUN
bracis-28352	294	11	  	  	SPACE
bracis-28352	294	12	google	google	PROPN
bracis-28352	294	13	scholar	scholar	NOUN
bracis-28352	294	14	  	  	SPACE
bracis-28352	294	15	sanner	sanner	NOUN
bracis-28352	294	16	,	,	PUNCT
bracis-28352	294	17	s.	s.	PROPN
bracis-28352	294	18	,	,	PUNCT
bracis-28352	294	19	yoon	yoon	PROPN
bracis-28352	294	20	,	,	PUNCT
bracis-28352	294	21	s.	s.	PROPN
bracis-28352	294	22	:	:	PUNCT
bracis-28352	294	23	ippc	ippc	VERB
bracis-28352	294	24	results	result	VERB
bracis-28352	294	25	presentation	presentation	NOUN
bracis-28352	294	26	.	.	PUNCT
bracis-28352	295	1	in	in	ADP
bracis-28352	295	2	:	:	PUNCT
bracis-28352	295	3	international	international	ADJ
bracis-28352	295	4	conference	conference	NOUN
bracis-28352	295	5	on	on	ADP
bracis-28352	295	6	automated	automate	VERB
bracis-28352	295	7	planning	planning	NOUN
bracis-28352	295	8	and	and	CCONJ
bracis-28352	295	9	scheduling	scheduling	NOUN
bracis-28352	295	10	(	(	PUNCT
bracis-28352	295	11	2011	2011	NUM
bracis-28352	295	12	)	)	PUNCT
bracis-28352	295	13	.	.	PUNCT
bracis-28352	296	1	http://users.cecs.anu.edu.au/ssanner/ippc_2011/ippc_2011_presentation.pdf	http://users.cecs.anu.edu.au/ssanner/ippc_2011/ippc_2011_presentation.pdf	PROPN
bracis-28352	296	2	silver	silver	NOUN
bracis-28352	296	3	,	,	PUNCT
bracis-28352	296	4	t.	t.	PROPN
bracis-28352	296	5	,	,	PUNCT
bracis-28352	296	6	chitnis	chitnis	PROPN
bracis-28352	296	7	,	,	PUNCT
bracis-28352	296	8	r.	r.	PROPN
bracis-28352	296	9	:	:	PUNCT
bracis-28352	296	10	pddlgym	pddlgym	NOUN
bracis-28352	296	11	:	:	PUNCT
bracis-28352	296	12	gym	gym	NOUN
bracis-28352	296	13	environments	environment	NOUN
bracis-28352	296	14	from	from	ADP
bracis-28352	296	15	pddl	pddl	NOUN
bracis-28352	296	16	problems	problem	NOUN
bracis-28352	296	17	.	.	PUNCT
bracis-28352	297	1	in	in	ADP
bracis-28352	297	2	:	:	PUNCT
bracis-28352	297	3	international	international	ADJ
bracis-28352	297	4	conference	conference	NOUN
bracis-28352	297	5	on	on	ADP
bracis-28352	297	6	automated	automate	VERB
bracis-28352	297	7	planning	planning	NOUN
bracis-28352	297	8	and	and	CCONJ
bracis-28352	297	9	scheduling	scheduling	NOUN
bracis-28352	297	10	(	(	PUNCT
bracis-28352	297	11	icaps	icap	NOUN
bracis-28352	297	12	)	)	PUNCT
bracis-28352	297	13	prl	prl	PROPN
bracis-28352	297	14	workshop	workshop	NOUN
bracis-28352	297	15	,	,	PUNCT
bracis-28352	297	16	pp	pp	X
bracis-28352	297	17	.	.	PUNCT
bracis-28352	298	1	1–6	1–6	NUM
bracis-28352	298	2	(	(	PUNCT
bracis-28352	298	3	2020	2020	NUM
bracis-28352	298	4	)	)	PUNCT
bracis-28352	298	5	.	.	PUNCT
bracis-28352	299	1	https://github.com/tomsilver/pddlgym	https://github.com/tomsilver/pddlgym	PROPN
bracis-28352	299	2	teichteil	teichteil	PROPN
bracis-28352	299	3	-	-	PUNCT
bracis-28352	299	4	königsbuch	königsbuch	PROPN
bracis-28352	299	5	,	,	PUNCT
bracis-28352	299	6	f.	f.	NOUN
bracis-28352	299	7	:	:	PUNCT
bracis-28352	299	8	stochastic	stochastic	ADJ
bracis-28352	299	9	safest	safe	ADJ
bracis-28352	299	10	and	and	CCONJ
bracis-28352	299	11	shortest	short	ADJ
bracis-28352	299	12	path	path	NOUN
bracis-28352	299	13	problems	problem	NOUN
bracis-28352	299	14	.	.	PUNCT
bracis-28352	300	1	in	in	ADP
bracis-28352	300	2	:	:	PUNCT
bracis-28352	300	3	proceedings	proceeding	NOUN
bracis-28352	300	4	of	of	ADP
bracis-28352	300	5	the	the	DET
bracis-28352	300	6	twenty	twenty	NUM
bracis-28352	300	7	-	-	PUNCT
bracis-28352	300	8	sixth	sixth	ADJ
bracis-28352	300	9	aaai	aaai	NOUN
bracis-28352	300	10	conference	conference	NOUN
bracis-28352	300	11	on	on	ADP
bracis-28352	300	12	artificial	artificial	ADJ
bracis-28352	300	13	intelligence	intelligence	NOUN
bracis-28352	300	14	,	,	PUNCT
bracis-28352	300	15	pp	pp	X
bracis-28352	300	16	.	.	PUNCT
bracis-28352	300	17	1825–1831	1825–1831	NUM
bracis-28352	300	18	(	(	PUNCT
bracis-28352	300	19	2012	2012	NUM
bracis-28352	300	20	)	)	PUNCT
bracis-28352	300	21	google	google	PROPN
bracis-28352	300	22	scholar	scholar	NOUN
bracis-28352	300	23	  	  	SPACE
bracis-28352	300	24	teichteil	teichteil	NOUN
bracis-28352	300	25	-	-	PUNCT
bracis-28352	300	26	königsbuch	königsbuch	NOUN
bracis-28352	300	27	,	,	PUNCT
bracis-28352	300	28	f.	f.	PROPN
bracis-28352	300	29	,	,	PUNCT
bracis-28352	300	30	vidal	vidal	NOUN
bracis-28352	300	31	,	,	PUNCT
bracis-28352	300	32	v.	v.	PROPN
bracis-28352	300	33	,	,	PUNCT
bracis-28352	300	34	infantes	infante	NOUN
bracis-28352	300	35	,	,	PUNCT
bracis-28352	300	36	g.	g.	NOUN
bracis-28352	300	37	:	:	PUNCT
bracis-28352	300	38	extending	extend	VERB
bracis-28352	300	39	classical	classical	ADJ
bracis-28352	300	40	planning	planning	NOUN
bracis-28352	300	41	heuristics	heuristic	NOUN
bracis-28352	300	42	to	to	PART
bracis-28352	300	43	probabilistic	probabilistic	ADJ
bracis-28352	300	44	planning	planning	NOUN
bracis-28352	300	45	with	with	ADP
bracis-28352	300	46	dead	dead	ADJ
bracis-28352	300	47	-	-	PUNCT
bracis-28352	300	48	ends	end	NOUN
bracis-28352	300	49	.	.	PUNCT
bracis-28352	301	1	in	in	ADP
bracis-28352	301	2	:	:	PUNCT
bracis-28352	301	3	proceedings	proceeding	NOUN
bracis-28352	301	4	of	of	ADP
bracis-28352	301	5	the	the	DET
bracis-28352	301	6	twenty	twenty	NUM
bracis-28352	301	7	-	-	PUNCT
bracis-28352	301	8	fifth	fifth	NOUN
bracis-28352	301	9	aaai	aaai	PROPN
bracis-28352	301	10	conference	conference	NOUN
bracis-28352	301	11	on	on	ADP
bracis-28352	301	12	artificial	artificial	ADJ
bracis-28352	301	13	intelligence	intelligence	NOUN
bracis-28352	301	14	,	,	PUNCT
bracis-28352	301	15	pp	pp	ADJ
bracis-28352	301	16	.	.	PUNCT
bracis-28352	302	1	1017–1022	1017–1022	NUM
bracis-28352	302	2	(	(	PUNCT
bracis-28352	302	3	2011	2011	NUM
bracis-28352	302	4	)	)	PUNCT
bracis-28352	302	5	google	google	PROPN
bracis-28352	302	6	scholar	scholar	NOUN
bracis-28352	302	7	  	  	SPACE
bracis-28352	302	8	trevizan	trevizan	NOUN
bracis-28352	302	9	,	,	PUNCT
bracis-28352	302	10	f.w	f.w	PROPN
bracis-28352	302	11	.	.	PROPN
bracis-28352	302	12	,	,	PUNCT
bracis-28352	302	13	teichteil	teichteil	NOUN
bracis-28352	302	14	-	-	PUNCT
bracis-28352	302	15	königsbuch	königsbuch	PROPN
bracis-28352	302	16	,	,	PUNCT
bracis-28352	302	17	f.	f.	PROPN
bracis-28352	302	18	,	,	PUNCT
bracis-28352	302	19	thiébaux	thiébaux	PROPN
bracis-28352	302	20	,	,	PUNCT
bracis-28352	302	21	s.	s.	PROPN
bracis-28352	302	22	:	:	PUNCT
bracis-28352	302	23	efficient	efficient	ADJ
bracis-28352	302	24	solutions	solution	NOUN
bracis-28352	302	25	for	for	ADP
bracis-28352	302	26	stochastic	stochastic	ADJ
bracis-28352	302	27	shortest	short	ADJ
bracis-28352	302	28	path	path	NOUN
bracis-28352	302	29	problems	problem	NOUN
bracis-28352	302	30	with	with	ADP
bracis-28352	302	31	dead	dead	ADJ
bracis-28352	302	32	ends	end	NOUN
bracis-28352	302	33	.	.	PUNCT
bracis-28352	303	1	in	in	ADP
bracis-28352	303	2	:	:	PUNCT
bracis-28352	303	3	proceedings	proceeding	NOUN
bracis-28352	303	4	of	of	ADP
bracis-28352	303	5	the	the	DET
bracis-28352	303	6	thirty	thirty	NUM
bracis-28352	303	7	-	-	PUNCT
bracis-28352	303	8	third	third	NOUN
bracis-28352	303	9	conference	conference	NOUN
bracis-28352	303	10	on	on	ADP
bracis-28352	303	11	uncertainty	uncertainty	NOUN
bracis-28352	303	12	in	in	ADP
bracis-28352	303	13	artificial	artificial	ADJ
bracis-28352	303	14	intelligence	intelligence	NOUN
bracis-28352	303	15	(	(	PUNCT
bracis-28352	303	16	uai	uai	PROPN
bracis-28352	303	17	)	)	PUNCT
bracis-28352	303	18	(	(	PUNCT
bracis-28352	303	19	2017	2017	NUM
bracis-28352	303	20	)	)	PUNCT
bracis-28352	303	21	,	,	PUNCT
bracis-28352	303	22	pp	pp	PROPN
bracis-28352	303	23	.	.	PUNCT
bracis-28352	304	1	1–10	1–10	NOUN
bracis-28352	304	2	(	(	PUNCT
bracis-28352	304	3	2017	2017	NUM
bracis-28352	304	4	)	)	PUNCT
bracis-28352	304	5	google	google	PROPN
bracis-28352	304	6	scholar	scholar	NOUN
bracis-28352	304	7	  	  	SPACE
bracis-28352	304	8	download	download	NOUN
bracis-28352	304	9	references	reference	NOUN
bracis-28352	304	10	acknowledgments	acknowledgment	NOUN
bracis-28352	304	11	this	this	DET
bracis-28352	304	12	study	study	NOUN
bracis-28352	304	13	was	be	AUX
bracis-28352	304	14	supported	support	VERB
bracis-28352	304	15	in	in	ADP
bracis-28352	304	16	part	part	NOUN
bracis-28352	304	17	by	by	ADP
bracis-28352	304	18	the	the	DET
bracis-28352	304	19	coordenação	coordenação	PROPN
bracis-28352	304	20	de	de	PROPN
bracis-28352	304	21	aperfeiçoamento	aperfeiçoamento	PROPN
bracis-28352	304	22	de	de	X
bracis-28352	304	23	pessoal	pessoal	PROPN
bracis-28352	304	24	de	de	PROPN
bracis-28352	304	25	nível	nível	PROPN
bracis-28352	304	26	superior	superior	ADJ
bracis-28352	304	27	(	(	PUNCT
bracis-28352	304	28	capes	cape	NOUN
bracis-28352	304	29	)	)	PUNCT
bracis-28352	304	30	finance	finance	NOUN
bracis-28352	304	31	code	code	NOUN
bracis-28352	304	32	001	001	NOUN
bracis-28352	304	33	,	,	PUNCT
bracis-28352	304	34	by	by	ADP
bracis-28352	304	35	the	the	DET
bracis-28352	304	36	são	são	PROPN
bracis-28352	304	37	paulo	paulo	PROPN
bracis-28352	304	38	research	research	PROPN
bracis-28352	304	39	foundation	foundation	PROPN
bracis-28352	304	40	(	(	PUNCT
bracis-28352	304	41	fapesp	fapesp	NOUN
bracis-28352	304	42	)	)	PUNCT
bracis-28352	304	43	grant	grant	NOUN
bracis-28352	304	44	\(\#\)2018/11236	\(\#\)2018/11236	NOUN
bracis-28352	304	45	-	-	SYM
bracis-28352	304	46	9	9	NUM
bracis-28352	304	47	and	and	CCONJ
bracis-28352	304	48	the	the	DET
bracis-28352	304	49	center	center	NOUN
bracis-28352	304	50	for	for	ADP
bracis-28352	304	51	artificial	artificial	ADJ
bracis-28352	304	52	intelligence	intelligence	NOUN
bracis-28352	304	53	(	(	PUNCT
bracis-28352	304	54	c4ai	c4ai	NOUN
bracis-28352	304	55	-	-	PUNCT
bracis-28352	304	56	usp	usp	NOUN
bracis-28352	304	57	)	)	PUNCT
bracis-28352	304	58	,	,	PUNCT
bracis-28352	304	59	with	with	ADP
bracis-28352	304	60	support	support	NOUN
bracis-28352	304	61	by	by	ADP
bracis-28352	304	62	fapesp	fapesp	NOUN
bracis-28352	304	63	(	(	PUNCT
bracis-28352	304	64	grant	grant	VERB
bracis-28352	304	65	#	#	SYM
bracis-28352	304	66	2019/07665	2019/07665	NUM
bracis-28352	304	67	-	-	SYM
bracis-28352	304	68	4	4	NUM
bracis-28352	304	69	)	)	PUNCT
bracis-28352	304	70	and	and	CCONJ
bracis-28352	304	71	by	by	ADP
bracis-28352	304	72	the	the	DET
bracis-28352	304	73	ibm	ibm	PROPN
bracis-28352	304	74	corporation	corporation	NOUN
bracis-28352	304	75	.	.	PUNCT
bracis-28352	305	1	author	author	NOUN
bracis-28352	305	2	information	information	NOUN
bracis-28352	305	3	authors	author	NOUN
bracis-28352	305	4	and	and	CCONJ
bracis-28352	305	5	affiliations	affiliation	NOUN
bracis-28352	305	6	universidade	universidade	PROPN
bracis-28352	305	7	de	de	PROPN
bracis-28352	305	8	são	são	PROPN
bracis-28352	305	9	paulo	paulo	PROPN
bracis-28352	305	10	,	,	PUNCT
bracis-28352	305	11	são	são	PROPN
bracis-28352	305	12	paulo	paulo	PROPN
bracis-28352	305	13	,	,	PUNCT
bracis-28352	305	14	brazil	brazil	PROPN
bracis-28352	305	15	gabriel	gabriel	PROPN
bracis-28352	305	16	nunes	nunes	PROPN
bracis-28352	305	17	crispino	crispino	PROPN
bracis-28352	305	18	,	,	PUNCT
bracis-28352	305	19	 	 	SPACE
bracis-28352	305	20	valdinei	valdinei	PROPN
bracis-28352	305	21	freire	freire	PROPN
bracis-28352	305	22	 	 	SPACE
bracis-28352	305	23	&	&	CCONJ
bracis-28352	305	24	 	 	SPACE
bracis-28352	305	25	karina	karina	PROPN
bracis-28352	305	26	valdivia	valdivia	PROPN
bracis-28352	305	27	delgado	delgado	VERB
bracis-28352	305	28	authors	author	NOUN
bracis-28352	305	29	gabriel	gabriel	PROPN
bracis-28352	305	30	nunes	nunes	PROPN
bracis-28352	305	31	crispinoview	crispinoview	NOUN
bracis-28352	305	32	author	author	NOUN
bracis-28352	305	33	publications	publication	NOUN
bracis-28352	305	34	search	search	NOUN
bracis-28352	305	35	author	author	NOUN
bracis-28352	305	36	on	on	ADP
bracis-28352	305	37	:	:	PUNCT
bracis-28352	305	38	pubmed	pubmed	PROPN
bracis-28352	305	39	 	 	SPACE
bracis-28352	305	40	google	google	PROPN
bracis-28352	305	41	scholar	scholar	NOUN
bracis-28352	305	42	valdinei	valdinei	NOUN
bracis-28352	305	43	freireview	freireview	NOUN
bracis-28352	305	44	author	author	NOUN
bracis-28352	305	45	publications	publication	NOUN
bracis-28352	305	46	search	search	NOUN
bracis-28352	305	47	author	author	NOUN
bracis-28352	305	48	on	on	ADP
bracis-28352	305	49	:	:	PUNCT
bracis-28352	305	50	pubmed	pubmed	PROPN
bracis-28352	305	51	 	 	SPACE
bracis-28352	305	52	google	google	PROPN
bracis-28352	305	53	scholar	scholar	PROPN
bracis-28352	305	54	karina	karina	PROPN
bracis-28352	305	55	valdivia	valdivia	PROPN
bracis-28352	305	56	delgadoview	delgadoview	PROPN
bracis-28352	305	57	author	author	NOUN
bracis-28352	305	58	publications	publication	NOUN
bracis-28352	305	59	search	search	NOUN
bracis-28352	305	60	author	author	NOUN
bracis-28352	305	61	on	on	ADP
bracis-28352	305	62	:	:	PUNCT
bracis-28352	305	63	pubmed	pubmed	PROPN
bracis-28352	305	64	 	 	SPACE
bracis-28352	305	65	google	google	PROPN
bracis-28352	305	66	scholar	scholar	NOUN
bracis-28352	305	67	corresponding	correspond	VERB
bracis-28352	305	68	author	author	NOUN
bracis-28352	305	69	correspondence	correspondence	NOUN
bracis-28352	305	70	to	to	ADP
bracis-28352	305	71	gabriel	gabriel	PROPN
bracis-28352	305	72	nunes	nunes	PROPN
bracis-28352	305	73	crispino	crispino	PROPN
bracis-28352	305	74	.	.	PUNCT
bracis-28352	306	1	editor	editor	NOUN
bracis-28352	306	2	information	information	NOUN
bracis-28352	306	3	editors	editor	NOUN
bracis-28352	306	4	and	and	CCONJ
bracis-28352	306	5	affiliations	affiliation	NOUN
bracis-28352	306	6	federal	federal	PROPN
bracis-28352	306	7	university	university	PROPN
bracis-28352	306	8	of	of	ADP
bracis-28352	306	9	são	são	PROPN
bracis-28352	306	10	carlos	carlos	PROPN
bracis-28352	306	11	,	,	PUNCT
bracis-28352	306	12	são	são	PROPN
bracis-28352	306	13	carlos	carlos	PROPN
bracis-28352	306	14	,	,	PUNCT
bracis-28352	306	15	brazil	brazil	PROPN
bracis-28352	306	16	murilo	murilo	PROPN
bracis-28352	306	17	c.	c.	PROPN
bracis-28352	306	18	naldi	naldi	PROPN
bracis-28352	306	19	centro	centro	PROPN
bracis-28352	306	20	universitario	universitario	PROPN
bracis-28352	306	21	da	da	PROPN
bracis-28352	306	22	fei	fei	PROPN
bracis-28352	306	23	,	,	PUNCT
bracis-28352	306	24	são	são	PROPN
bracis-28352	306	25	bernardo	bernardo	PROPN
bracis-28352	306	26	do	do	AUX
bracis-28352	306	27	campo	campo	PROPN
bracis-28352	306	28	,	,	PUNCT
bracis-28352	306	29	brazil	brazil	PROPN
bracis-28352	306	30	reinaldo	reinaldo	PROPN
bracis-28352	306	31	a.	a.	PROPN
bracis-28352	306	32	c.	c.	PROPN
bracis-28352	306	33	bianchi	bianchi	PROPN
bracis-28352	306	34	rights	right	NOUN
bracis-28352	306	35	and	and	CCONJ
bracis-28352	306	36	permissions	permission	NOUN
bracis-28352	306	37	reprints	reprint	NOUN
bracis-28352	306	38	and	and	CCONJ
bracis-28352	306	39	permissions	permission	VERB
bracis-28352	306	40	copyright	copyright	NOUN
bracis-28352	306	41	information	information	NOUN
bracis-28352	306	42	©	©	ADP
bracis-28352	306	43	2023	2023	NUM
bracis-28352	306	44	the	the	DET
bracis-28352	306	45	author(s	author(s	NOUN
bracis-28352	306	46	)	)	PUNCT
bracis-28352	306	47	,	,	PUNCT
bracis-28352	306	48	under	under	ADP
bracis-28352	306	49	exclusive	exclusive	ADJ
bracis-28352	306	50	license	license	NOUN
bracis-28352	306	51	to	to	ADP
bracis-28352	306	52	springer	springer	NOUN
bracis-28352	306	53	nature	nature	PROPN
bracis-28352	306	54	switzerland	switzerland	PROPN
bracis-28352	306	55	ag	ag	PROPN
bracis-28352	306	56	about	about	ADP
bracis-28352	306	57	this	this	DET
bracis-28352	306	58	paper	paper	NOUN
bracis-28352	306	59	cite	cite	VERB
bracis-28352	306	60	this	this	DET
bracis-28352	306	61	paper	paper	NOUN
bracis-28352	306	62	crispino	crispino	NOUN
bracis-28352	306	63	,	,	PUNCT
bracis-28352	306	64	g.n	g.n	PROPN
bracis-28352	306	65	.	.	PROPN
bracis-28352	306	66	,	,	PUNCT
bracis-28352	306	67	freire	freire	PROPN
bracis-28352	306	68	,	,	PUNCT
bracis-28352	306	69	v.	v.	PROPN
bracis-28352	306	70	,	,	PUNCT
bracis-28352	306	71	delgado	delgado	PROPN
bracis-28352	306	72	,	,	PUNCT
bracis-28352	306	73	k.v	k.v	PROPN
bracis-28352	306	74	.	.	PROPN
bracis-28352	306	75	(	(	PUNCT
bracis-28352	306	76	2023	2023	NUM
bracis-28352	306	77	)	)	PUNCT
bracis-28352	306	78	.	.	PUNCT
bracis-28352	307	1	\(\alpha	\(\alpha	PROPN
bracis-28352	307	2	\)-mcmp	\)-mcmp	NOUN
bracis-28352	307	3	:	:	PUNCT
bracis-28352	307	4	trade	trade	NOUN
bracis-28352	307	5	-	-	PUNCT
bracis-28352	307	6	offs	off	NOUN
bracis-28352	307	7	between	between	ADP
bracis-28352	307	8	probability	probability	NOUN
bracis-28352	307	9	and	and	CCONJ
bracis-28352	307	10	 	 	SPACE
bracis-28352	307	11	cost	cost	NOUN
bracis-28352	307	12	in	in	ADP
bracis-28352	307	13	 	 	SPACE
bracis-28352	307	14	ssps	ssps	VERB
bracis-28352	307	15	with	with	ADP
bracis-28352	307	16	 	 	SPACE
bracis-28352	307	17	the	the	DET
bracis-28352	307	18	 	 	SPACE
bracis-28352	307	19	mcmp	mcmp	NOUN
bracis-28352	307	20	criterion	criterion	NOUN
bracis-28352	307	21	.	.	PUNCT
bracis-28352	308	1	in	in	ADP
bracis-28352	308	2	:	:	PUNCT
bracis-28352	308	3	naldi	naldi	PROPN
bracis-28352	308	4	,	,	PUNCT
bracis-28352	308	5	m.c	m.c	PROPN
bracis-28352	308	6	.	.	PROPN
bracis-28352	308	7	,	,	PUNCT
bracis-28352	308	8	bianchi	bianchi	PROPN
bracis-28352	308	9	,	,	PUNCT
bracis-28352	308	10	r.a.c	r.a.c	ADP
bracis-28352	308	11	.	.	PUNCT
bracis-28352	308	12	(	(	PUNCT
bracis-28352	308	13	eds	ed	NOUN
bracis-28352	308	14	)	)	PUNCT
bracis-28352	308	15	intelligent	intelligent	ADJ
bracis-28352	308	16	systems	system	NOUN
bracis-28352	308	17	.	.	PUNCT
bracis-28352	309	1	bracis	bracis	PROPN
bracis-28352	309	2	2023	2023	NUM
bracis-28352	309	3	.	.	PUNCT
bracis-28352	310	1	lecture	lecture	NOUN
bracis-28352	310	2	notes	note	NOUN
bracis-28352	310	3	in	in	ADP
bracis-28352	310	4	computer	computer	NOUN
bracis-28352	310	5	science	science	NOUN
bracis-28352	310	6	(	(	PUNCT
bracis-28352	310	7	)	)	PUNCT
bracis-28352	310	8	,	,	PUNCT
bracis-28352	310	9	vol	vol	NOUN
bracis-28352	310	10	14195	14195	NUM
bracis-28352	310	11	.	.	PUNCT
bracis-28352	311	1	springer	springer	NOUN
bracis-28352	311	2	,	,	PUNCT
bracis-28352	311	3	cham	cham	PROPN
bracis-28352	311	4	.	.	PUNCT
bracis-28352	312	1	https://doi.org/10.1007/978-3-031-45368-7_8	https://doi.org/10.1007/978-3-031-45368-7_8	PUNCT
bracis-28352	312	2	download	download	NOUN
bracis-28352	312	3	citation	citation	NOUN
bracis-28352	312	4	.ris	.ris	PUNCT
bracis-28352	312	5	.enw	.enw	PROPN
bracis-28352	312	6	.bib	.bib	PUNCT
bracis-28352	313	1	doi	doi	PROPN
bracis-28352	313	2	:	:	PUNCT
bracis-28352	313	3	https://doi.org/10.1007/978-3-031-45368-7_8	https://doi.org/10.1007/978-3-031-45368-7_8	PUNCT
bracis-28352	313	4	published	publish	VERB
bracis-28352	313	5	:	:	PUNCT
bracis-28352	313	6	12	12	NUM
bracis-28352	313	7	october	october	PROPN
bracis-28352	313	8	2023	2023	NUM
bracis-28352	313	9	publisher	publisher	NOUN
bracis-28352	313	10	name	name	NOUN
bracis-28352	313	11	:	:	PUNCT
bracis-28352	313	12	springer	springer	NOUN
bracis-28352	313	13	,	,	PUNCT
bracis-28352	313	14	cham	cham	PROPN
bracis-28352	313	15	print	print	PROPN
bracis-28352	313	16	isbn	isbn	PROPN
bracis-28352	313	17	:	:	PUNCT
bracis-28352	313	18	978	978	NUM
bracis-28352	313	19	-	-	SYM
bracis-28352	313	20	3	3	NUM
bracis-28352	313	21	-	-	PUNCT
bracis-28352	313	22	031	031	NUM
bracis-28352	313	23	-	-	PUNCT
bracis-28352	313	24	45367	45367	NUM
bracis-28352	313	25	-	-	PUNCT
bracis-28352	313	26	0	0	NUM
bracis-28352	313	27	online	online	ADJ
bracis-28352	313	28	isbn	isbn	NOUN
bracis-28352	313	29	:	:	PUNCT
bracis-28352	313	30	978	978	NUM
bracis-28352	313	31	-	-	SYM
bracis-28352	313	32	3	3	NUM
bracis-28352	313	33	-	-	PUNCT
bracis-28352	313	34	031	031	NUM
bracis-28352	313	35	-	-	PUNCT
bracis-28352	313	36	45368	45368	NUM
bracis-28352	313	37	-	-	PUNCT
bracis-28352	313	38	7	7	NUM
bracis-28352	313	39	ebook	ebook	NOUN
bracis-28352	313	40	packages	package	NOUN
bracis-28352	313	41	:	:	PUNCT
bracis-28352	313	42	computer	computer	NOUN
bracis-28352	313	43	sciencecomputer	sciencecomputer	NOUN
bracis-28352	313	44	science	science	NOUN
bracis-28352	313	45	(	(	PUNCT
bracis-28352	313	46	r0	r0	NOUN
bracis-28352	313	47	)	)	PUNCT
bracis-28352	313	48	share	share	VERB
bracis-28352	313	49	this	this	DET
bracis-28352	313	50	paper	paper	NOUN
bracis-28352	313	51	anyone	anyone	PRON
bracis-28352	313	52	you	you	PRON
bracis-28352	313	53	share	share	VERB
bracis-28352	313	54	the	the	DET
bracis-28352	313	55	following	follow	VERB
bracis-28352	313	56	link	link	NOUN
bracis-28352	313	57	with	with	ADP
bracis-28352	313	58	will	will	AUX
bracis-28352	313	59	be	be	AUX
bracis-28352	313	60	able	able	ADJ
bracis-28352	313	61	to	to	PART
bracis-28352	313	62	read	read	VERB
bracis-28352	313	63	this	this	DET
bracis-28352	313	64	content	content	NOUN
bracis-28352	313	65	:	:	PUNCT
bracis-28352	313	66	get	get	VERB
bracis-28352	313	67	shareable	shareable	ADJ
bracis-28352	313	68	linksorry	linksorry	NOUN
bracis-28352	313	69	,	,	PUNCT
bracis-28352	313	70	a	a	DET
bracis-28352	313	71	shareable	shareable	ADJ
bracis-28352	313	72	link	link	NOUN
bracis-28352	313	73	is	be	AUX
bracis-28352	313	74	not	not	PART
bracis-28352	313	75	currently	currently	ADV
bracis-28352	313	76	available	available	ADJ
bracis-28352	313	77	for	for	ADP
bracis-28352	313	78	this	this	DET
bracis-28352	313	79	article	article	NOUN
bracis-28352	313	80	.	.	PUNCT
bracis-28352	314	1	copy	copy	VERB
bracis-28352	314	2	shareable	shareable	ADJ
bracis-28352	314	3	link	link	NOUN
bracis-28352	314	4	to	to	PART
bracis-28352	314	5	clipboard	clipboard	NOUN
bracis-28352	314	6	provided	provide	VERB
bracis-28352	314	7	by	by	ADP
bracis-28352	314	8	the	the	DET
bracis-28352	314	9	springer	springer	NOUN
bracis-28352	314	10	nature	nature	PROPN
bracis-28352	314	11	sharedit	sharedit	PROPN
bracis-28352	314	12	content	content	NOUN
bracis-28352	314	13	-	-	PUNCT
bracis-28352	314	14	sharing	share	VERB
bracis-28352	314	15	initiative	initiative	NOUN
bracis-28352	314	16	keywords	keyword	NOUN
bracis-28352	314	17	decision	decision	NOUN
bracis-28352	314	18	making	make	VERB
bracis-28352	314	19	under	under	ADP
bracis-28352	314	20	uncertainty	uncertainty	NOUN
bracis-28352	314	21	markov	markov	NOUN
bracis-28352	314	22	decision	decision	NOUN
bracis-28352	314	23	processes	process	VERB
bracis-28352	314	24	stochastic	stochastic	ADJ
bracis-28352	314	25	shortest	short	ADJ
bracis-28352	314	26	path	path	NOUN
bracis-28352	314	27	publish	publish	NOUN
bracis-28352	314	28	with	with	ADP
bracis-28352	314	29	us	us	PROPN
bracis-28352	314	30	policies	policy	NOUN
bracis-28352	314	31	and	and	CCONJ
bracis-28352	314	32	ethics	ethic	NOUN
bracis-28352	314	33	profiles	profile	NOUN
bracis-28352	314	34	gabriel	gabriel	PROPN
bracis-28352	314	35	nunes	nunes	PROPN
bracis-28352	314	36	crispino	crispino	PROPN
bracis-28352	314	37	view	view	NOUN
bracis-28352	314	38	author	author	NOUN
bracis-28352	314	39	profile	profile	NOUN
bracis-28352	314	40	search	search	NOUN
bracis-28352	314	41	search	search	NOUN
bracis-28352	314	42	by	by	ADP
bracis-28352	314	43	keyword	keyword	NOUN
bracis-28352	314	44	or	or	CCONJ
bracis-28352	314	45	author	author	NOUN
bracis-28352	314	46	search	search	NOUN
bracis-28352	314	47	navigation	navigation	NOUN
bracis-28352	314	48	find	find	VERB
bracis-28352	314	49	a	a	DET
bracis-28352	314	50	journal	journal	NOUN
bracis-28352	314	51	publish	publish	VERB
bracis-28352	314	52	with	with	ADP
bracis-28352	314	53	us	we	PRON
bracis-28352	314	54	track	track	VERB
bracis-28352	314	55	your	your	PRON
bracis-28352	314	56	research	research	NOUN
bracis-28352	314	57	discover	discover	VERB
bracis-28352	314	58	content	content	NOUN
bracis-28352	314	59	journals	journal	NOUN
bracis-28352	314	60	a	a	DET
bracis-28352	314	61	-	-	PUNCT
bracis-28352	314	62	z	z	NOUN
bracis-28352	314	63	books	book	NOUN
bracis-28352	314	64	a	a	DET
bracis-28352	314	65	-	-	PUNCT
bracis-28352	314	66	z	z	NOUN
bracis-28352	314	67	publish	publish	NOUN
bracis-28352	314	68	with	with	ADP
bracis-28352	314	69	us	us	PROPN
bracis-28352	314	70	journal	journal	PROPN
bracis-28352	314	71	finder	finder	PROPN
bracis-28352	314	72	publish	publish	VERB
bracis-28352	314	73	your	your	PRON
bracis-28352	314	74	research	research	NOUN
bracis-28352	314	75	language	language	NOUN
bracis-28352	314	76	editing	edit	VERB
bracis-28352	314	77	open	open	ADJ
bracis-28352	314	78	access	access	NOUN
bracis-28352	314	79	publishing	publishing	NOUN
bracis-28352	314	80	products	product	NOUN
bracis-28352	314	81	and	and	CCONJ
bracis-28352	314	82	services	service	NOUN
bracis-28352	314	83	our	our	PRON
bracis-28352	314	84	products	product	NOUN
bracis-28352	314	85	librarians	librarian	VERB
bracis-28352	314	86	societies	society	NOUN
bracis-28352	314	87	partners	partner	NOUN
bracis-28352	314	88	and	and	CCONJ
bracis-28352	314	89	advertisers	advertiser	NOUN
bracis-28352	314	90	our	our	PRON
bracis-28352	314	91	brands	brand	NOUN
bracis-28352	314	92	springer	springer	NOUN
bracis-28352	314	93	nature	nature	PROPN
bracis-28352	314	94	portfolio	portfolio	PROPN
bracis-28352	314	95	bmc	bmc	PROPN
bracis-28352	314	96	palgrave	palgrave	PROPN
bracis-28352	314	97	macmillan	macmillan	PROPN
bracis-28352	314	98	apress	apress	PROPN
bracis-28352	314	99	discover	discover	VERB
bracis-28352	314	100	your	your	PRON
bracis-28352	314	101	privacy	privacy	NOUN
bracis-28352	314	102	choices	choice	NOUN
bracis-28352	314	103	/	/	SYM
bracis-28352	314	104	manage	manage	NOUN
bracis-28352	314	105	cookies	cookie	NOUN
bracis-28352	314	106	your	your	PRON
bracis-28352	314	107	us	us	PROPN
bracis-28352	315	1	state	state	NOUN
bracis-28352	315	2	privacy	privacy	NOUN
bracis-28352	315	3	rights	right	NOUN
bracis-28352	315	4	accessibility	accessibility	NOUN
bracis-28352	315	5	statement	statement	NOUN
bracis-28352	315	6	terms	term	NOUN
bracis-28352	315	7	and	and	CCONJ
bracis-28352	315	8	conditions	condition	NOUN
bracis-28352	315	9	privacy	privacy	NOUN
bracis-28352	315	10	policy	policy	NOUN
bracis-28352	315	11	help	help	NOUN
bracis-28352	315	12	and	and	CCONJ
bracis-28352	315	13	support	support	VERB
bracis-28352	315	14	legal	legal	ADJ
bracis-28352	315	15	notice	notice	NOUN
bracis-28352	315	16	cancel	cancel	VERB
bracis-28352	315	17	contracts	contract	NOUN
bracis-28352	315	18	here	here	ADV
bracis-28352	315	19	129.74.145.123	129.74.145.123	NUM
bracis-28352	315	20	hesburgh	hesburgh	PROPN
bracis-28352	315	21	library	library	PROPN
bracis-28352	315	22	er	er	INTJ
bracis-28352	315	23	unit	unit	NOUN
bracis-28352	315	24	(	(	PUNCT
bracis-28352	315	25	3005732405	3005732405	NUM
bracis-28352	315	26	)	)	PUNCT
bracis-28352	315	27	northeast	northeast	ADJ
bracis-28352	315	28	research	research	NOUN
bracis-28352	315	29	libraries	library	NOUN
bracis-28352	315	30	(	(	PUNCT
bracis-28352	315	31	nerl	nerl	PROPN
bracis-28352	315	32	)	)	PUNCT
bracis-28352	315	33	(	(	PUNCT
bracis-28352	315	34	8200828607	8200828607	NUM
bracis-28352	315	35	)	)	PUNCT
bracis-28352	315	36	nerl	nerl	VERB
bracis-28352	315	37	ta	ta	X
bracis-28352	315	38	account	account	NOUN
bracis-28352	315	39	(	(	PUNCT
bracis-28352	315	40	3006206169	3006206169	NUM
bracis-28352	315	41	)	)	PUNCT
bracis-28352	315	42	university	university	NOUN
bracis-28352	315	43	of	of	ADP
bracis-28352	315	44	notre	notre	PROPN
bracis-28352	315	45	dame	dame	PROPN
bracis-28352	315	46	hesburgh	hesburgh	PROPN
bracis-28352	315	47	library	library	NOUN
bracis-28352	315	48	(	(	PUNCT
bracis-28352	315	49	3000184373	3000184373	NUM
bracis-28352	315	50	)	)	PUNCT
bracis-28352	316	1	©	©	ADP
bracis-28352	316	2	2025	2025	NUM
bracis-28352	316	3	springer	springer	NOUN
bracis-28352	316	4	nature	nature	NOUN