{"id":"https://openalex.org/W2622039200","doi":"https://doi.org/10.3233/fi-2009-145","title":"Time-Bounded Model Checking of Infinite-State Continuous-Time Markov Chains","display_name":"Time-Bounded Model Checking of Infinite-State Continuous-Time Markov Chains","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2622039200","doi":"https://doi.org/10.3233/fi-2009-145","mag":"2622039200"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2009-145","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2009-145","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030417706","display_name":"Ernst Moritz Hahn","orcid":"https://orcid.org/0000-0002-9348-7684"},"institutions":[{"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":true,"raw_author_name":"E. Moritz Hahn","raw_affiliation_strings":["Department of Computer Science Saarland University\r\t\t\t Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de","Department of Computer Science Saarland University Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science Saarland University\r\t\t\t Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Department of Computer Science Saarland University Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028747794","display_name":"Holger Hermanns","orcid":"https://orcid.org/0000-0002-2766-9615"},"institutions":[{"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":["Department of Computer Science Saarland University\r\t\t\t Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de","Department of Computer Science Saarland University Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science Saarland University\r\t\t\t Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Department of Computer Science Saarland University Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076010669","display_name":"Bj\u00f6rn Wachter","orcid":null},"institutions":[{"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":"Bj\u00f6rn Wachter","raw_affiliation_strings":["Department of Computer Science Saarland University\r\t\t\t Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de","Department of Computer Science Saarland University Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science Saarland University\r\t\t\t Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Department of Computer Science Saarland University Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100448153","display_name":"Lijun Zhang","orcid":"https://orcid.org/0000-0002-3692-2088"},"institutions":[{"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":"Lijun Zhang","raw_affiliation_strings":["Department of Computer Science Saarland University\r\t\t\t Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de","Department of Computer Science Saarland University Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science Saarland University\r\t\t\t Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Department of Computer Science Saarland University Saarbr\u00fccken, Germany. E-mail: {zhang,emh,hermanns,bwachter}@cs.uni-sb.de","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5030417706"],"corresponding_institution_ids":["https://openalex.org/I91712215"],"apc_list":null,"apc_paid":null,"fwci":4.6085,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.95214686,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"95","issue":"1","first_page":"129","last_page":"155"},"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":0.9983000159263611,"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/T12423","display_name":"Software Reliability and Analysis Research","score":0.993399977684021,"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/dependability","display_name":"Dependability","score":0.8072881698608398},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7697683572769165},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.7424963116645813},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.7105574607849121},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.7001118659973145},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6838182210922241},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6646357774734497},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.487310528755188},{"id":"https://openalex.org/keywords/survivability","display_name":"Survivability","score":0.4769507944583893},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.45362961292266846},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.43067410588264465},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33096516132354736},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.28505390882492065},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09191441535949707},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0778900682926178}],"concepts":[{"id":"https://openalex.org/C77019957","wikidata":"https://www.wikidata.org/wiki/Q2689057","display_name":"Dependability","level":2,"score":0.8072881698608398},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7697683572769165},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.7424963116645813},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.7105574607849121},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7001118659973145},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6838182210922241},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6646357774734497},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.487310528755188},{"id":"https://openalex.org/C2781133158","wikidata":"https://www.wikidata.org/wiki/Q1088669","display_name":"Survivability","level":2,"score":0.4769507944583893},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.45362961292266846},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.43067410588264465},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33096516132354736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.28505390882492065},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09191441535949707},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0778900682926178},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"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/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3233/fi-2009-145","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2009-145","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.379.4849","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.379.4849","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.avacs.org/fileadmin/Publikationen/Open/hahn.fi09.pdf","raw_type":"text"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:f73b785b-5f7c-4bff-9435-bcb68a11e246","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:f73b785b-5f7c-4bff-9435-bcb68a11e246","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Computer Science","raw_type":"Journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1514324734","https://openalex.org/W1516256348","https://openalex.org/W1596739056","https://openalex.org/W1787074469","https://openalex.org/W1806344101","https://openalex.org/W1850679117","https://openalex.org/W1859458367","https://openalex.org/W1899490968","https://openalex.org/W1978905583","https://openalex.org/W2041226400","https://openalex.org/W2048355938","https://openalex.org/W2066594542","https://openalex.org/W2077095314","https://openalex.org/W2082404215","https://openalex.org/W2090311494","https://openalex.org/W2095939858","https://openalex.org/W2104855667","https://openalex.org/W2107224406","https://openalex.org/W2107737377","https://openalex.org/W2115309705","https://openalex.org/W2115555017","https://openalex.org/W2118744069","https://openalex.org/W2120062331","https://openalex.org/W2124302038","https://openalex.org/W2138210004","https://openalex.org/W2141881497","https://openalex.org/W2149283215","https://openalex.org/W2157239333","https://openalex.org/W2164096878","https://openalex.org/W2171720907","https://openalex.org/W2171920512","https://openalex.org/W2801179766","https://openalex.org/W2912904668","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2169628522","https://openalex.org/W4252527915","https://openalex.org/W2409287660","https://openalex.org/W2233357156","https://openalex.org/W1976489385","https://openalex.org/W4256317220","https://openalex.org/W1506225852","https://openalex.org/W2131200604","https://openalex.org/W2884574904","https://openalex.org/W2057373567"],"abstract_inverted_index":{"The":[0,120],"design":[1],"of":[2,46,53,141,144],"complex":[3],"concurrent":[4],"systems":[5],"often":[6,91],"involves":[7],"intricate":[8],"performance":[9,26],"and":[10,27,30,70,78,97],"dependability":[11,28,61],"considerations.":[12],"Continuous-time":[13],"Markov":[14],"chains":[15],"(CTMCs)":[16],"are":[17],"a":[18,51,108,117],"widely":[19],"used":[20],"modeling":[21],"formalism":[22],"that":[23,110,131,151],"captures":[24],"such":[25,63],"properties,":[29],"makes":[31],"them":[32],"analyzable":[33],"by":[34,128],"model":[35,82,87,102,114],"checking.":[36],"In":[37],"this":[38],"paper,":[39],"we":[40],"focus":[41],"on":[42,125],"time-bounded":[43,65],"probabilistic":[44,66],"properties":[45],"infinite-state":[47],"CTMCs,":[48],"expressible":[49],"in":[50,134],"subset":[52],"continuous":[54],"stochastic":[55],"logic":[56],"(CSL).":[57],"This":[58,105],"comprises":[59],"important":[60],"measures,":[62],"as":[64],"reachability,":[67],"performability,":[68],"survivability,":[69],"various":[71],"availability":[72],"measures":[73],"like":[74],"instantaneous,":[75],"conditional":[76],"instantaneous":[77],"interval":[79],"availabilities.":[80],"Conventional":[81],"checkers":[83],"explore":[84],"the":[85,101,113,126,139],"given":[86],"exhaustively,":[88],"which":[89],"is":[90,103,123,132,154],"costly,":[92],"due":[93],"to":[94,116,136,138],"state":[95],"explosion,":[96],"sometimes":[98],"impossible":[99],"because":[100],"infinite.":[104],"paper":[106],"presents":[107],"method":[109,153],"only":[111],"explores":[112],"up":[115],"finite":[118],"depth.":[119],"required":[121],"depth":[122],"determined":[124],"fly":[127],"an":[129],"algorithm":[130],"configurable":[133],"order":[135],"adapt":[137],"characteristics":[140],"different":[142],"classes":[143],"models.":[145],"We":[146],"provide":[147],"experimental":[148],"evidence":[149],"showing":[150],"our":[152],"effective.":[155]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}