{"id":"https://openalex.org/W2168677536","doi":"https://doi.org/10.2168/lmcs-8(2:17)2012","title":"Efficient CSL Model Checking Using Stratification","display_name":"Efficient CSL Model Checking Using Stratification","publication_year":2012,"publication_date":"2012-07-31","ids":{"openalex":"https://openalex.org/W2168677536","doi":"https://doi.org/10.2168/lmcs-8(2:17)2012","mag":"2168677536"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-8(2:17)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(2:17)2012","pdf_url":"https://lmcs.episciences.org/1085/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/1085/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100448153","display_name":"Lijun Zhang","orcid":"https://orcid.org/0000-0002-3692-2088"},"institutions":[{"id":"https://openalex.org/I4210120668","display_name":"Creative Commons","ror":"https://ror.org/02ed4cj64","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210120668"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lijun Zhang","raw_affiliation_strings":["Creative Commons"],"affiliations":[{"raw_affiliation_string":"Creative Commons","institution_ids":["https://openalex.org/I4210120668"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006029818","display_name":"David N. Jansen","orcid":"https://orcid.org/0000-0002-6636-3301"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"David N. Jansen","raw_affiliation_strings":["Radboud Universiteit, Model-based System Design, Nijmegen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Radboud Universiteit, Model-based System Design, Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089639449","display_name":"Flemming Nielson","orcid":"https://orcid.org/0000-0001-7362-6176"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Flemming Nielson","raw_affiliation_strings":["Technical University of Denmark, DTU Informatics, Denmark"],"affiliations":[{"raw_affiliation_string":"Technical University of Denmark, DTU Informatics, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028747794","display_name":"Holger Hermanns","orcid":"https://orcid.org/0000-0002-2766-9615"},"institutions":[{"id":"https://openalex.org/I4210120512","display_name":"Hochschule f\u00fcr Technik und Wirtschaft des Saarlandes","ror":"https://ror.org/02ge27m07","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210120512"]},{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Holger Hermanns","raw_affiliation_strings":["Saarland University, Computer Science, Saarbrcken, Germany","Saarland University, Computer Science, Saarbr\u00fccken, Germany"],"affiliations":[{"raw_affiliation_string":"Saarland University, Computer Science, Saarbrcken, Germany","institution_ids":["https://openalex.org/I91712215","https://openalex.org/I4210120512"]},{"raw_affiliation_string":"Saarland University, Computer Science, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100448153"],"corresponding_institution_ids":["https://openalex.org/I4210120668"],"apc_list":null,"apc_paid":null,"fwci":5.8746,"has_fulltext":true,"cited_by_count":29,"citation_normalized_percentile":{"value":0.9669925,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"Volume 8, Issue 2","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":0.9998999834060669,"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/T10743","display_name":"Software Testing and Debugging Techniques","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/computer-science","display_name":"Computer science","score":0.6242033839225769},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.5426632761955261},{"id":"https://openalex.org/keywords/stratification","display_name":"Stratification (seeds)","score":0.5202975869178772},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.33499640226364136}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6242033839225769},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.5426632761955261},{"id":"https://openalex.org/C192943249","wikidata":"https://www.wikidata.org/wiki/Q1893382","display_name":"Stratification (seeds)","level":5,"score":0.5202975869178772},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.33499640226364136},{"id":"https://openalex.org/C100701293","wikidata":"https://www.wikidata.org/wiki/Q193838","display_name":"Germination","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C3527866","wikidata":"https://www.wikidata.org/wiki/Q162267","display_name":"Dormancy","level":3,"score":0.0},{"id":"https://openalex.org/C88548481","wikidata":"https://www.wikidata.org/wiki/Q2397491","display_name":"Seed dormancy","level":4,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.2168/lmcs-8(2:17)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(2:17)2012","pdf_url":"https://lmcs.episciences.org/1085/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1104.4983","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1104.4983","pdf_url":"https://arxiv.org/pdf/1104.4983","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.768.1025","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.768.1025","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1104.4983.pdf","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:5c7885929a2a40b5ab101174893d7c37","is_oa":true,"landing_page_url":"https://doaj.org/article/5c7885929a2a40b5ab101174893d7c37","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 8, Issue 2 (2012)","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:publications/443f3008-d1b7-425e-b244-2505b82ed56d","is_oa":true,"landing_page_url":"https://orbit.dtu.dk/en/publications/443f3008-d1b7-425e-b244-2505b82ed56d","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nd","license_id":"https://openalex.org/licenses/cc-by-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Zhang , L , Jansen , D N , Nielson , F &amp; Hermanns , H 2012 , ' Efficient CSL Model Checking Using Stratification ' , Logical Methods in Computer Science , vol. 8 , no. 2 , pp. Paper 17 . https://doi.org/10.2168/LMCS-8(2:17)2012","raw_type":"article"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/103325","is_oa":false,"landing_page_url":"http://hdl.handle.net/2066/103325","pdf_url":null,"source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":{"id":"doi:10.2168/lmcs-8(2:17)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(2:17)2012","pdf_url":"https://lmcs.episciences.org/1085/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6100000143051147,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G1307506151","display_name":null,"funder_award_id":"295261","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3446333491","display_name":null,"funder_award_id":"214755","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3514550006","display_name":null,"funder_award_id":"Centre","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3981126665","display_name":null,"funder_award_id":"Seventh Framework Programme","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6641478878","display_name":"Slimme zorg @home: Digitaal en zelfstandig meten van cognitieve functies bij mensen met de ziekte van Parkinson","funder_award_id":"21475","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/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2168677536.pdf","grobid_xml":"https://content.openalex.org/works/W2168677536.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1498125516","https://openalex.org/W1514324734","https://openalex.org/W1535517661","https://openalex.org/W1540519426","https://openalex.org/W1594061965","https://openalex.org/W1862398452","https://openalex.org/W1997088148","https://openalex.org/W2019881090","https://openalex.org/W2041226400","https://openalex.org/W2090311494","https://openalex.org/W2096899005","https://openalex.org/W2114671730","https://openalex.org/W2141881497","https://openalex.org/W2143909814","https://openalex.org/W2152523762","https://openalex.org/W2157239333","https://openalex.org/W2158776910","https://openalex.org/W2376865138","https://openalex.org/W2410243683","https://openalex.org/W2622039200","https://openalex.org/W3082353674","https://openalex.org/W3103183526","https://openalex.org/W3166263510","https://openalex.org/W6660734588"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W4386554877","https://openalex.org/W4236138976","https://openalex.org/W2376932109"],"abstract_inverted_index":{"For":[0],"continuous-time":[1,10],"Markov":[2],"chains,":[3],"the":[4,58,87,95,105,143,146,157,184],"model-checking":[5],"problem":[6],"with":[7,39,92],"respect":[8,93],"to":[9,19,83,94,98,107,166,182],"stochastic":[11],"logic":[12],"(CSL)":[13],"has":[14],"been":[15],"introduced":[16],"and":[17,26,49,130],"shown":[18,165],"be":[20,33,99,114,180],"decidable":[21],"by":[22,116,160],"Aziz,":[23],"Sanwal,":[24],"Singhal":[25],"Brayton":[27],"in":[28,60,120],"1996.":[29],"Their":[30],"proof":[31],"can":[32,113,179],"turned":[34],"into":[35,136],"an":[36,52,73,137,173],"approximation":[37,55,76],"algorithm":[38,56,77,159],"worse":[40],"than":[41],"exponential":[42],"complexity.":[43],"In":[44,67],"2000,":[45],"Baier,":[46],"Haverkort,":[47],"Hermanns":[48],"Katoen":[50],"presented":[51],"efficient":[53,74],"polynomial-time":[54,75],"for":[57,78,169,186],"sublogic":[59],"which":[61],"only":[62,168],"binary":[63],"until":[64],"is":[65,86],"allowed.":[66],"this":[68],"paper,":[69],"we":[70],"propose":[71],"such":[72],"full":[79,152],"CSL.":[80],"The":[81],"key":[82],"our":[84,176],"method":[85],"notion":[88],"of":[89,133,148],"stratified":[90,103,139,170],"CTMCs":[91],"CSL":[96,110,153],"property":[97],"checked.":[100],"On":[101],"a":[102,109,117,127,149],"CTMC,":[104],"probability":[106],"satisfy":[108],"path":[111],"formula":[112],"approximated":[115],"transient":[118],"analysis":[119],"polynomial":[121],"time":[122],"(using":[123],"uniformization).":[124],"We":[125],"present":[126,144],"measure-preserving,":[128],"linear-time":[129],"-space":[131],"transformation":[132,178],"any":[134],"CTMC":[135],"equivalent,":[138],"one.":[140],"This":[141],"makes":[142],"work":[145,167],"centerpiece":[147],"broadly":[150],"applicable":[151],"model":[154],"checker.":[155],"Recently,":[156],"decision":[158],"Aziz":[161],"et":[162],"al.":[163],"was":[164],"CTMCs.":[171,188],"As":[172],"additional":[174],"contribution,":[175],"measure-preserving":[177],"used":[181],"ensure":[183],"decidability":[185],"general":[187]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2025-10-10T00:00:00"}
