{"id":"https://openalex.org/W7165620474","doi":"https://doi.org/10.48550/arxiv.2606.21444","title":"Verification of Parametric Markov Automata under Time-bounded Reachability","display_name":"Verification of Parametric Markov Automata under Time-bounded Reachability","publication_year":2026,"publication_date":"2026-06-19","ids":{"openalex":"https://openalex.org/W7165620474","doi":"https://doi.org/10.48550/arxiv.2606.21444"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.21444","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.21444","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.21444","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5134390610","display_name":"Kevin van de Glind","orcid":"https://orcid.org/0009-0004-0205-2346"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"van de Glind, Kevin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5139186814","display_name":"Matthias Volk","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Volk, Matthias","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5139216044","display_name":"Tim Willemse","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Willemse, Tim","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9872000217437744,"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":0.9872000217437744,"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":0.002199999988079071,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.0017000000225380063,"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":0.897599995136261},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.7218000292778015},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5853000283241272},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5056999921798706},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.47999998927116394},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.43220001459121704},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.4196999967098236},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.40869998931884766},{"id":"https://openalex.org/keywords/markov-kernel","display_name":"Markov kernel","score":0.4041000008583069}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.897599995136261},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7218000292778015},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5853000283241272},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5159000158309937},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5056999921798706},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.47999998927116394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4632999897003174},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4535999894142151},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.43220001459121704},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.4196999967098236},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.40869998931884766},{"id":"https://openalex.org/C106666656","wikidata":"https://www.wikidata.org/wiki/Q6771323","display_name":"Markov kernel","level":5,"score":0.4041000008583069},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.35589998960494995},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.3431999981403351},{"id":"https://openalex.org/C2777669093","wikidata":"https://www.wikidata.org/wiki/Q17141570","display_name":"Reachability problem","level":3,"score":0.32839998602867126},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.31520000100135803},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2973000109195709},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2955999970436096},{"id":"https://openalex.org/C174327141","wikidata":"https://www.wikidata.org/wiki/Q176837","display_name":"Quantum finite automata","level":4,"score":0.2831999957561493},{"id":"https://openalex.org/C17098449","wikidata":"https://www.wikidata.org/wiki/Q176814","display_name":"Partially observable Markov decision process","level":4,"score":0.2791999876499176},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.2766999900341034},{"id":"https://openalex.org/C24574437","wikidata":"https://www.wikidata.org/wiki/Q7135228","display_name":"Parametric model","level":3,"score":0.2761000096797943},{"id":"https://openalex.org/C186027771","wikidata":"https://www.wikidata.org/wiki/Q4008379","display_name":"Valuation (finance)","level":2,"score":0.2718000113964081},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.2687999904155731},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.2648000121116638},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26420000195503235},{"id":"https://openalex.org/C174784677","wikidata":"https://www.wikidata.org/wiki/Q176567","display_name":"Probabilistic automaton","level":3,"score":0.26350000500679016},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.26260000467300415},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.257099986076355}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.21444","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.21444","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.21444","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.21444","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7581091523170471}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Analysis":[0],"of":[1,5,14,37,123,180],"Markov":[2,15,43,115],"models":[3],"is":[4,24,110],"high":[6],"importance":[7],"for":[8,62,129],"formal":[9],"verification.":[10],"Until":[11],"now,":[12],"analysis":[13,122],"Automata":[16,44],"required":[17],"them":[18],"to":[19,46,112,144],"be":[20,31,95,154],"fully":[21],"specified,":[22],"which":[23],"a":[25,72,113,145],"considerable":[26],"restriction":[27],"as":[28,148],"rates":[29],"may":[30],"unknown":[32],"or":[33],"influenced":[34],"by":[35],"uncertainty":[36,49],"the":[38,75,80,84,89,124,130,134,140,149,160,163,172,178,181],"environment.":[39],"We":[40,158],"introduce":[41],"parametric":[42,51,114,135],"(pMA)":[45],"capture":[47],"this":[48],"with":[50],"transition":[52],"functions.":[53],"On":[54],"these":[55],"parametrized":[56],"models,":[57],"two":[58,105],"different":[59],"synthesis":[60],"problems":[61,142],"time-bounded":[63],"reachability":[64,131],"properties":[65],"are":[66,127],"considered:":[67],"I)":[68,107],"Does":[69],"there":[70],"exist":[71],"valuation":[73],"in":[74,133],"parameter":[76,90],"space":[77],"such":[78],"that":[79,171],"instantiated":[81],"model":[82,165],"satisfies/violates":[83],"property,":[85],"and":[86,99,119],"II)":[87,120],"given":[88],"space,":[91],"how":[92],"can":[93,153],"it":[94],"partitioned":[96],"into":[97],"satisfying":[98],"violating":[100],"regions?":[101],"Our":[102,167],"approach":[103,138,161],"comprises":[104],"steps:":[106],"The":[108],"pMA":[109],"discretized":[111],"decision":[116],"process":[117],"(pMDP),":[118],"through":[121],"pMDP,":[125],"bounds":[126],"obtained":[128],"probability":[132],"MA.":[136],"This":[137],"solves":[139],"above":[141],"up":[143],"specified":[146],"precision,":[147],"accumulated":[150],"error":[151],"terms":[152],"made":[155],"arbitrarily":[156],"small.":[157],"implemented":[159],"using":[162],"Storm":[164],"checker.":[166],"experimental":[168],"evaluation":[169],"shows":[170],"main":[173],"performance":[174],"bottlenecks":[175],"originate":[176],"from":[177],"discretization":[179],"pMA.":[182]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-06-24T00:00:00"}
