{"id":"https://openalex.org/W7161497833","doi":"https://doi.org/10.1007/978-3-032-26204-2_10","title":"Tools and\u00a0Algorithms for\u00a0Sound Multi-Objective Probabilistic Model Checking","display_name":"Tools and\u00a0Algorithms for\u00a0Sound Multi-Objective Probabilistic Model Checking","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7161497833","doi":"https://doi.org/10.1007/978-3-032-26204-2_10"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-26204-2_10","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-26204-2_10","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-26204-2_10.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-26204-2_10.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007673197","display_name":"Arnd Hartmanns","orcid":"https://orcid.org/0000-0003-3268-8674"},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Arnd Hartmanns","raw_affiliation_strings":["University of Twente, Enschede, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0003-3268-8674","affiliations":[{"raw_affiliation_string":"University of Twente, Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013247085","display_name":"Tim Quatmann","orcid":"https://orcid.org/0000-0002-2843-5511"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Tim Quatmann","raw_affiliation_strings":["RWTH Aachen University, Aachen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-2843-5511","affiliations":[{"raw_affiliation_string":"RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5126004186","display_name":"Mark van Wijk","orcid":null},"institutions":[{"id":"https://openalex.org/I94624287","display_name":"University of Twente","ror":"https://ror.org/006hf6230","country_code":"NL","type":"education","lineage":["https://openalex.org/I94624287"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Mark van Wijk","raw_affiliation_strings":["University of Twente, Enschede, The Netherlands"],"raw_orcid":"https://orcid.org/0009-0001-8239-3164","affiliations":[{"raw_affiliation_string":"University of Twente, Enschede, The Netherlands","institution_ids":["https://openalex.org/I94624287"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5126004186"],"corresponding_institution_ids":["https://openalex.org/I94624287"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.72421627,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"189","last_page":"210"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9850999712944031,"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":0.9850999712944031,"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.0015999999595806003,"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":0.001500000013038516,"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/probabilistic-logic","display_name":"Probabilistic logic","score":0.7135000228881836},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.7016000151634216},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.6632999777793884},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6147000193595886},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.5479999780654907},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.5246000289916992},{"id":"https://openalex.org/keywords/probabilistic-analysis-of-algorithms","display_name":"Probabilistic analysis of algorithms","score":0.4724000096321106}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.894599974155426},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7135000228881836},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7016000151634216},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.6632999777793884},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6456000208854675},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6147000193595886},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.5479999780654907},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.5246000289916992},{"id":"https://openalex.org/C24404364","wikidata":"https://www.wikidata.org/wiki/Q7246846","display_name":"Probabilistic analysis of algorithms","level":3,"score":0.4724000096321106},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4000000059604645},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.37529999017715454},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.3522999882698059},{"id":"https://openalex.org/C168065819","wikidata":"https://www.wikidata.org/wiki/Q845566","display_name":"Debugging","level":2,"score":0.32030001282691956},{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.31859999895095825},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2847999930381775},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2777999937534332},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.25450000166893005},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.2524000108242035},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.25060001015663147}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-032-26204-2_10","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-26204-2_10","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-26204-2_10.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:ris.utwente.nl:openaire/05782865-9b86-478c-8f69-1fa02b7d3b64","is_oa":true,"landing_page_url":"https://research.utwente.nl/en/publications/05782865-9b86-478c-8f69-1fa02b7d3b64","pdf_url":null,"source":{"id":"https://openalex.org/S4406922991","display_name":"University of Twente Research Information","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Hartmanns, A, Quatmann, T & van Wijk, M 2026, Tools and\u00a0Algorithms for\u00a0Sound Multi-Objective Probabilistic Model Checking (Long Tool Paper). in A Sampaio & M Stoelinga (eds), Formal Methods : 27th International Symposium, FM 2026, Tokyo, Japan, May 18\u201322, 2026, Proceedings. 1 edn, vol. Part 1, Lecture Notes in Computer Science, vol. 16556, Springer, Cham, pp. 189\u2013210. https://doi.org/10.1007/978-3-032-26204-2_10","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"doi:10.1007/978-3-032-26204-2_10","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-032-26204-2_10","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-032-26204-2_10.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3373991914","display_name":"Models in Space Systems: Integration, Operation, and Networking","funder_award_id":"101008233","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G537410878","display_name":"Trustworthy Analysis of Stochastic Timed Systems (TruSTy)","funder_award_id":"VI.Vidi.223.110","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G5703716638","display_name":null,"funder_award_id":"101008233","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"},{"id":"https://openalex.org/F4320324232","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34"},{"id":"https://openalex.org/F4320337753","display_name":"Interreg","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7161497833.pdf","grobid_xml":"https://content.openalex.org/works/W7161497833.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W16586245","https://openalex.org/W275084143","https://openalex.org/W1525468010","https://openalex.org/W1555770805","https://openalex.org/W1574269384","https://openalex.org/W1584965098","https://openalex.org/W1626822335","https://openalex.org/W1862398452","https://openalex.org/W2005998857","https://openalex.org/W2060846151","https://openalex.org/W2215828449","https://openalex.org/W2400703163","https://openalex.org/W2568766587","https://openalex.org/W2575731723","https://openalex.org/W2598014203","https://openalex.org/W2735021239","https://openalex.org/W2762030425","https://openalex.org/W2803993242","https://openalex.org/W2932972683","https://openalex.org/W2949566299","https://openalex.org/W2963819197","https://openalex.org/W2964256340","https://openalex.org/W3023751629","https://openalex.org/W3042980517","https://openalex.org/W3045984969","https://openalex.org/W3046677588","https://openalex.org/W3147073715","https://openalex.org/W3179132544","https://openalex.org/W3190747433","https://openalex.org/W3205897023","https://openalex.org/W4205797122","https://openalex.org/W4233757421","https://openalex.org/W4323544949","https://openalex.org/W4366721447","https://openalex.org/W4380785795","https://openalex.org/W4393943487","https://openalex.org/W4396571457","https://openalex.org/W4401560467","https://openalex.org/W4403943655","https://openalex.org/W4408826451","https://openalex.org/W4412515023","https://openalex.org/W4416099644","https://openalex.org/W6944541633","https://openalex.org/W7128902400"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Practical":[1],"verification":[2],"tasks":[3],"often":[4],"involve":[5],"multiple":[6,39],"goals,":[7],"such":[8,22],"as":[9],"maximising":[10],"an":[11,142],"expected":[12],"reward":[13],"within":[14],"a":[15,32],"specified":[16],"reliability":[17],"threshold.":[18],"Algorithms":[19],"to":[20,95,118],"solve":[21],"multi-objective":[23,116,134],"probabilistic":[24],"model":[25],"checking":[26],"(MO-PMC)":[27],"problems":[28],"were":[29],"developed":[30],"over":[31],"decade":[33],"ago,":[34],"and":[35,86,100,126],"are":[36,44,58],"implemented":[37],"by":[38],"tools.":[40,91],"However,":[41],"the":[42,53,56,71,81,102,109,119,128,138,147],"algorithms":[43,78,103],"unsound":[45],"in":[46,88,155],"general\u2014at":[47],"best":[48],"delivering":[49],"some":[50],"underapproximation":[51],"of":[52,74,146],"true":[54,82],"result\u2014and":[55],"implementations":[57,73],"unreliable,":[59],"with":[60,104,133],"different":[61],"tools":[62],"producing":[63],"inconsistent":[64],"results.":[65,161],"In":[66],"this":[67],"paper,":[68],"we":[69,112,140],"present":[70],"first":[72],"recently-developed":[75],"sound":[76,151],"MO-PMC":[77,152],"that":[79,157],"bound":[80],"result":[83],"from":[84],"above":[85],"below,":[87],"two":[89,148],"independent":[90],"We":[92],"discuss":[93],"ways":[94],"consistently":[96],"treat":[97],"infinite":[98],"rewards":[99],"extend":[101,127],"relative-error":[105],"termination":[106],"criteria.":[107],"On":[108],"practical":[110],"side,":[111],"add":[113],"support":[114],"for":[115,123],"properties":[117],"Jani":[120],"interchange":[121],"format":[122],"tool":[124],"interoperability,":[125],"Quantitative":[129],"Verification":[130],"Benchmark":[131],"Set":[132],"problems.":[135],"Based":[136],"on":[137],"latter,":[139],"conduct":[141],"extensive":[143],"experimental":[144],"evaluation":[145],"tools\u2019":[149],"new":[150],"capabilities,":[153],"showing":[154],"particular":[156],"they":[158],"produce":[159],"consistent":[160]},"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2026-05-18T00:00:00"}