{"id":"https://openalex.org/W3176721046","doi":"https://doi.org/10.1109/lics52264.2021.9470595","title":"Stochastic Processes with Expected Stopping Time","display_name":"Stochastic Processes with Expected Stopping Time","publication_year":2021,"publication_date":"2021-06-29","ids":{"openalex":"https://openalex.org/W3176721046","doi":"https://doi.org/10.1109/lics52264.2021.9470595","mag":"3176721046"},"language":"en","primary_location":{"id":"doi:10.1109/lics52264.2021.9470595","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics52264.2021.9470595","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052607806","display_name":"Krishnendu Chatterjee","orcid":"https://orcid.org/0000-0002-4561-241X"},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Krishnendu Chatterjee","raw_affiliation_strings":["IST Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IST Austria","institution_ids":["https://openalex.org/I157556583"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102787606","display_name":"Laurent Doyen","orcid":"https://orcid.org/0000-0003-3714-6145"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Doyen","raw_affiliation_strings":["CNRS & LMF, ENS Paris-Saclay, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS & LMF, ENS Paris-Saclay, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I29607241"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":null,"first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10639","display_name":"Advanced Software Engineering Methodologies","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9896000027656555,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.7019270062446594},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.6812185049057007},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5593461990356445},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5536999702453613},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5295187830924988},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5020608901977539},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.491493821144104},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4804101288318634},{"id":"https://openalex.org/keywords/optimal-stopping","display_name":"Optimal stopping","score":0.47017210721969604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46778926253318787},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4627411961555481},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4100506007671356},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3921424448490143},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07223287224769592}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7019270062446594},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.6812185049057007},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5593461990356445},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5536999702453613},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5295187830924988},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5020608901977539},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.491493821144104},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4804101288318634},{"id":"https://openalex.org/C99414536","wikidata":"https://www.wikidata.org/wiki/Q7098950","display_name":"Optimal stopping","level":2,"score":0.47017210721969604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46778926253318787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4627411961555481},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4100506007671356},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3921424448490143},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07223287224769592},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lics52264.2021.9470595","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics52264.2021.9470595","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6899999976158142,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W177913229","https://openalex.org/W565955800","https://openalex.org/W1479674952","https://openalex.org/W1496590343","https://openalex.org/W1498432697","https://openalex.org/W1538639190","https://openalex.org/W1583869287","https://openalex.org/W1790469418","https://openalex.org/W1797219784","https://openalex.org/W1834996031","https://openalex.org/W1972203711","https://openalex.org/W1977070092","https://openalex.org/W1991004801","https://openalex.org/W2020293036","https://openalex.org/W2028145673","https://openalex.org/W2028482316","https://openalex.org/W2032100464","https://openalex.org/W2051068608","https://openalex.org/W2067754486","https://openalex.org/W2109100253","https://openalex.org/W2114554615","https://openalex.org/W2122410182","https://openalex.org/W2134802714","https://openalex.org/W2135776689","https://openalex.org/W2321292752","https://openalex.org/W2334782222","https://openalex.org/W2964349030","https://openalex.org/W2965309826","https://openalex.org/W2966589477","https://openalex.org/W3156157234","https://openalex.org/W4212875940","https://openalex.org/W4213269876","https://openalex.org/W4232661759","https://openalex.org/W4255052368","https://openalex.org/W4287210961","https://openalex.org/W6638305810","https://openalex.org/W6679977494","https://openalex.org/W6755878414","https://openalex.org/W6794665897"],"related_works":["https://openalex.org/W2380201543","https://openalex.org/W4388236136","https://openalex.org/W2807018115","https://openalex.org/W4200250224","https://openalex.org/W2285658092","https://openalex.org/W2126560268","https://openalex.org/W187740018","https://openalex.org/W2162286586","https://openalex.org/W2947128950","https://openalex.org/W4255368532"],"abstract_inverted_index":{"Markov":[0,13,18,103,155],"chains":[1,19,104,156],"are":[2],"the":[3,36,42,64,67,80,88,98,106,113,130,133,138,142],"de":[4],"facto":[5],"finite-state":[6],"model":[7],"for":[8,102,117,154,161],"stochastic":[9],"dynamical":[10],"systems,":[11],"and":[12,27,157],"decision":[14],"processes":[15],"(MDPs)":[16],"extend":[17],"by":[20,52],"incorporating":[21],"non-deterministic":[22],"behaviors.":[23],"Given":[24,129],"an":[25],"MDP":[26,43],"rewards":[28],"on":[29],"states,":[30],"a":[31,53,60,75,126],"classical":[32],"optimization":[33],"criterion":[34],"is":[35,84,110],"maximal":[37],"expected":[38,81,89,99],"total":[39,90],"reward":[40],"where":[41,66],"stops":[44],"after":[45],"T":[46],"steps,":[47],"which":[48,118],"can":[49,70,148],"be":[50,71,125,149],"computed":[51],"simple":[54],"dynamic":[55],"programming":[56],"algorithm.":[57],"We":[58],"consider":[59,137],"natural":[61],"generalization":[62],"of":[63,97,132,141],"problem":[65,101,108],"stopping":[68,82],"times":[69],"chosen":[72],"according":[73],"to":[74,86,112],"probability":[76],"distribution,":[77],"such":[78],"that":[79,146],"time":[83,153],"T,":[85],"optimize":[87],"reward.":[91],"Quite":[92],"surprisingly":[93],"we":[94,136,144],"establish":[95],"inter-reducibility":[96],"stopping-time":[100],"with":[105],"Positivity":[107],"(which":[109],"related":[111],"well-known":[114],"Skolem":[115],"problem),":[116],"establishing":[119],"either":[120],"decidability":[121],"or":[122],"undecidability":[123],"would":[124],"major":[127],"breakthrough.":[128],"hardness":[131],"exact":[134],"problem,":[135],"approximate":[139],"version":[140],"problem:":[143],"show":[145],"it":[147],"solved":[150],"in":[151,158],"exponential":[152,159],"space":[160],"MDPs.":[162]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}