{"id":"https://openalex.org/W2576569296","doi":"https://doi.org/10.29007/wm3j","title":"Verification of Stochastic Systems by Stochastic Satisfiability Modulo Theories with Continuous Domain","display_name":"Verification of Stochastic Systems by Stochastic Satisfiability Modulo Theories with Continuous Domain","publication_year":2018,"publication_date":"2018-01-23","ids":{"openalex":"https://openalex.org/W2576569296","doi":"https://doi.org/10.29007/wm3j","mag":"2576569296"},"language":"en","primary_location":{"id":"doi:10.29007/wm3j","is_oa":true,"landing_page_url":"https://doi.org/10.29007/wm3j","pdf_url":"https://easychair.org/publications/open/TWf","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://easychair.org/publications/open/TWf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011313354","display_name":"Yang Gao","orcid":"https://orcid.org/0000-0002-6449-6696"},"institutions":[{"id":"https://openalex.org/I129877168","display_name":"Carl von Ossietzky Universit\u00e4t Oldenburg","ror":"https://ror.org/033n9gh91","country_code":"DE","type":"education","lineage":["https://openalex.org/I129877168"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Yang Gao","raw_affiliation_strings":["FK II, Department Informatik, Universitt Oldenburg, Germany","FK II, Department Informatik, Universit\u00e4t Oldenburg, Germany"],"affiliations":[{"raw_affiliation_string":"FK II, Department Informatik, Universitt Oldenburg, Germany","institution_ids":["https://openalex.org/I129877168"]},{"raw_affiliation_string":"FK II, Department Informatik, Universit\u00e4t Oldenburg, Germany","institution_ids":["https://openalex.org/I129877168"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089746112","display_name":"Martin Fr\u00e4nzle","orcid":"https://orcid.org/0000-0002-9138-8340"},"institutions":[{"id":"https://openalex.org/I129877168","display_name":"Carl von Ossietzky Universit\u00e4t Oldenburg","ror":"https://ror.org/033n9gh91","country_code":"DE","type":"education","lineage":["https://openalex.org/I129877168"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Fr\u00e4nzle","raw_affiliation_strings":["FK II, Department Informatik, Universit\u00e4t Oldenburg, Germany"],"affiliations":[{"raw_affiliation_string":"FK II, Department Informatik, Universit\u00e4t Oldenburg, Germany","institution_ids":["https://openalex.org/I129877168"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011313354"],"corresponding_institution_ids":["https://openalex.org/I129877168"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01717814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":null,"first_page":"2","last_page":""},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"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":0.9995999932289124,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9988999962806702,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9955999851226807,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.9106683731079102},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.7714521288871765},{"id":"https://openalex.org/keywords/satisfiability-modulo-theories","display_name":"Satisfiability modulo theories","score":0.7432630062103271},{"id":"https://openalex.org/keywords/reachability-problem","display_name":"Reachability problem","score":0.6976436972618103},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.6038405895233154},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5903424620628357},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.5819136500358582},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.5214178562164307},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.5061578154563904},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5036644339561462},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.48877498507499695},{"id":"https://openalex.org/keywords/quantifier","display_name":"Quantifier (linguistics)","score":0.4867541790008545},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.44411057233810425},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4302985966205597},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.3588200509548187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31570425629615784},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30066418647766113},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2538960576057434},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15715453028678894}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.9106683731079102},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.7714521288871765},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.7432630062103271},{"id":"https://openalex.org/C2777669093","wikidata":"https://www.wikidata.org/wiki/Q17141570","display_name":"Reachability problem","level":3,"score":0.6976436972618103},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.6038405895233154},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5903424620628357},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.5819136500358582},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5214178562164307},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.5061578154563904},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5036644339561462},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.48877498507499695},{"id":"https://openalex.org/C2778523021","wikidata":"https://www.wikidata.org/wiki/Q5532504","display_name":"Quantifier (linguistics)","level":2,"score":0.4867541790008545},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.44411057233810425},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4302985966205597},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.3588200509548187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31570425629615784},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30066418647766113},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2538960576057434},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15715453028678894},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.29007/wm3j","is_oa":true,"landing_page_url":"https://doi.org/10.29007/wm3j","pdf_url":"https://easychair.org/publications/open/TWf","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.29007/wm3j","is_oa":true,"landing_page_url":"https://doi.org/10.29007/wm3j","pdf_url":"https://easychair.org/publications/open/TWf","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7200000286102295}],"awards":[{"id":"https://openalex.org/G1538849842","display_name":null,"funder_award_id":"DFG-GRK 1765","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G845080533","display_name":null,"funder_award_id":"GRK 1765","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2576569296.pdf","grobid_xml":"https://content.openalex.org/works/W2576569296.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W47957325","https://openalex.org/W1511506132","https://openalex.org/W2080813827","https://openalex.org/W2084965339","https://openalex.org/W2126053898","https://openalex.org/W2163850966","https://openalex.org/W2224581992"],"related_works":["https://openalex.org/W3176904788","https://openalex.org/W2400855043","https://openalex.org/W2578463151","https://openalex.org/W21597398","https://openalex.org/W1505872263","https://openalex.org/W2600774173","https://openalex.org/W4298153058","https://openalex.org/W2408080066","https://openalex.org/W2268872489","https://openalex.org/W1913543287"],"abstract_inverted_index":{"Stochastic":[0],"Satisfiability":[1,12],"Modulo":[2,13],"Theories":[3,14],"(SSMT)":[4],"is":[5,117],"a":[6,107],"quantitative":[7],"exten-":[8],"sion":[9],"of":[10,34,44,103,123],"classical":[11],"(SMT)":[15],"inspired":[16],"by":[17,23,66],"stochastic":[18,35],"logics.":[19],"It":[20],"extends":[21],"SMT":[22],"the":[24,39,101],"usual":[25],"as":[26,28],"well":[27],"randomized":[29],"quantifiers,":[30],"fa-":[31],"cilitating":[32],"capture":[33,89],"game":[36],"properties":[37],"in":[38,85,96,129],"logic,":[40],"like":[41],"reachability":[42,115,127],"analysis":[43,116],"hybrid-state":[45],"Markov":[46],"decision":[47],"processes.":[48],"Solving":[49],"for":[50],"SSMT":[51,79,104],"for-":[52],"mulae":[53],"with":[54],"quantification":[55],"over":[56,80],"finite":[57],"and":[58,94,105],"thus":[59],"discrete":[60],"domain":[61],"has":[62],"been":[63],"ad-":[64],"dressed":[65],"Tino":[67],"Teige":[68],"et":[69],"al.":[70],"In":[71],"our":[72,124],"work,":[73],"we":[74],"extend":[75,100],"their":[76],"work":[77],"to":[78,87,114,119,126],"continuous":[81,92],"quantifier":[82],"domains":[83],"(CSSMT)":[84],"order":[86],"enable":[88],"of,":[90],"e.g.,":[91],"disturbances":[93],"uncertainty":[95],"hybrid":[97,130],"systems.":[98,131],"We":[99],"semantics":[102],"introduce":[106],"corresponding":[108],"solving":[109],"procedure.":[110],"A":[111],"discussion":[112],"regarding":[113],"given":[118],"demonstrate":[120],"applica-":[121],"bility":[122],"framework":[125],"problems":[128]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
