{"id":"https://openalex.org/W3011802620","doi":"https://doi.org/10.1109/cdc40024.2019.9029460","title":"Satisfiability Bounds for \u03c9-Regular Properties in Bounded-Parameter Markov Decision Processes","display_name":"Satisfiability Bounds for \u03c9-Regular Properties in Bounded-Parameter Markov Decision Processes","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3011802620","doi":"https://doi.org/10.1109/cdc40024.2019.9029460","mag":"3011802620"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9029460","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029460","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2207.13660","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042375584","display_name":"Maximilian Weininger","orcid":"https://orcid.org/0000-0002-0163-2152"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Maximilian Weininger","raw_affiliation_strings":["Department of Informatics, Technical University of Munich"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023690820","display_name":"Tobias Meggendorfer","orcid":"https://orcid.org/0000-0002-1712-2165"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tobias Meggendorfer","raw_affiliation_strings":["Department of Informatics, Technical University of Munich"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074485601","display_name":"Jan K\u0159et\u00ednsk\u00fd","orcid":"https://orcid.org/0000-0002-8122-2881"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jan Kretinsky","raw_affiliation_strings":["Department of Informatics, Technical University of Munich"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042375584"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":0.9978,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.79921143,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"2284","last_page":"2291"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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":0.9998999834060669,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9945999979972839,"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/T11567","display_name":"semigroups and automata theory","score":0.9943000078201294,"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-decision-process","display_name":"Markov decision process","score":0.7116919755935669},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6837420463562012},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.6120408773422241},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5831859707832336},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.5562616586685181},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5322121381759644},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49427103996276855},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.47062423825263977},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44352462887763977},{"id":"https://openalex.org/keywords/markov-property","display_name":"Markov property","score":0.4120021462440491},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4107290506362915},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.3007594347000122},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2603073716163635},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06981024146080017}],"concepts":[{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.7116919755935669},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6837420463562012},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.6120408773422241},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5831859707832336},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.5562616586685181},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5322121381759644},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49427103996276855},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.47062423825263977},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44352462887763977},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.4120021462440491},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4107290506362915},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.3007594347000122},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2603073716163635},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06981024146080017},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc40024.2019.9029460","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029460","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2207.13660","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2207.13660","pdf_url":"https://arxiv.org/pdf/2207.13660","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2207.13660","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2207.13660","pdf_url":"https://arxiv.org/pdf/2207.13660","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7599999904632568,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W125973810","https://openalex.org/W970178447","https://openalex.org/W1479679270","https://openalex.org/W1482727770","https://openalex.org/W1497451517","https://openalex.org/W1498432697","https://openalex.org/W1537517911","https://openalex.org/W1587759028","https://openalex.org/W1816620374","https://openalex.org/W1965878388","https://openalex.org/W1966347268","https://openalex.org/W1972203711","https://openalex.org/W1975219867","https://openalex.org/W1988217924","https://openalex.org/W2005684815","https://openalex.org/W2023808162","https://openalex.org/W2030547865","https://openalex.org/W2058117005","https://openalex.org/W2069045459","https://openalex.org/W2072078345","https://openalex.org/W2092884371","https://openalex.org/W2107209406","https://openalex.org/W2125500714","https://openalex.org/W2138427871","https://openalex.org/W2144502731","https://openalex.org/W2148446974","https://openalex.org/W2150335178","https://openalex.org/W2155355065","https://openalex.org/W2157807654","https://openalex.org/W2158345050","https://openalex.org/W2334782222","https://openalex.org/W2492427029","https://openalex.org/W2568766587","https://openalex.org/W2619876958","https://openalex.org/W2716905450","https://openalex.org/W2763487042","https://openalex.org/W2884525686","https://openalex.org/W2884961993","https://openalex.org/W2891954123","https://openalex.org/W2904694962","https://openalex.org/W4210427261","https://openalex.org/W4210589548","https://openalex.org/W4229907990","https://openalex.org/W4289761305","https://openalex.org/W4297979330","https://openalex.org/W4298023569","https://openalex.org/W6628852753","https://openalex.org/W6657924130","https://openalex.org/W6676382013","https://openalex.org/W6723269935"],"related_works":["https://openalex.org/W4360597163","https://openalex.org/W1976065452","https://openalex.org/W3022014775","https://openalex.org/W3216708645","https://openalex.org/W2130519334","https://openalex.org/W2067332967","https://openalex.org/W2353835606","https://openalex.org/W2393621008","https://openalex.org/W3166133680","https://openalex.org/W50519898"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,34,38,43,74,78,82,90,97,102,138],"problem":[3,103,140],"of":[4,10,40,54,133,143],"computing":[5],"minimum":[6],"and":[7,108,136],"maximum":[8],"probabilities":[9,36,45,85],"satisfying":[11],"an":[12,144],"\u03c9-regular":[13,48,145],"property":[14,79],"in":[15,37,110],"a":[16,51,72,149],"bounded-parameter":[17,159],"Markov":[18,25,118],"decision":[19,26],"process":[20],"(BMDP).":[21],"BMDP":[22,73,139],"arise":[23],"from":[24],"processes":[27],"(MDP)":[28],"by":[29,106],"allowing":[30],"for":[31],"uncertainty":[32],"on":[33,81,89,116],"transition":[35],"form":[39,50],"intervals":[41],"where":[42,148],"actual":[44],"are":[46],"unknown.":[47],"languages":[49],"large":[52],"class":[53],"properties,":[55],"expressible":[56],"as,":[57],"e.g.,":[58],"Rabin":[59],"or":[60],"parity":[61],"automata,":[62],"encompassing":[63],"rich":[64],"specifications":[65],"such":[66],"as":[67,86,88,131,141],"linear":[68],"temporal":[69],"logic.":[70],"In":[71,92],"probability":[75],"to":[76,127,158],"satisfy":[77],"depends":[80],"unknown":[83],"transitions":[84],"well":[87],"policy.":[91],"this":[93],"paper,":[94],"we":[95],"compute":[96],"extreme":[98],"values.":[99],"This":[100,153],"solves":[101],"specifically":[104],"suggested":[105],"Dutreix":[107],"Coogan":[109],"CDC":[111],"2018,":[112],"extending":[113],"their":[114,129],"results":[115],"interval":[117,134],"chains":[119],"with":[120],"no":[121],"adversary.":[122],"The":[123],"main":[124],"idea":[125],"is":[126,151],"reinterpret":[128],"work":[130],"analysis":[132,142],"MDP":[135],"accordingly":[137],"stochastic":[146,160],"game,":[147],"solution":[150],"provided.":[152],"method":[154],"extends":[155],"smoothly":[156],"further":[157],"games.":[161]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2020-03-23T00:00:00"}
