{"id":"https://openalex.org/W2461608415","doi":"https://doi.org/10.1016/s1571-0661(04)80358-x","title":"GSOS for probabilistic transition systems","display_name":"GSOS for probabilistic transition systems","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W2461608415","doi":"https://doi.org/10.1016/s1571-0661(04)80358-x","mag":"2461608415"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(04)80358-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80358-x","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(04)80358-x","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059502843","display_name":"Falk Bartels","orcid":null},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Falk Bartels","raw_affiliation_strings":["CWI, Amsterdam, Netherlands"],"affiliations":[{"raw_affiliation_string":"CWI, Amsterdam, Netherlands","institution_ids":["https://openalex.org/I1341640284"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059502843"],"corresponding_institution_ids":["https://openalex.org/I1341640284"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.32377319,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"65","issue":"1","first_page":"29","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9947999715805054,"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":0.9947999715805054,"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":0.9571999907493591,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9413999915122986,"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/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.8851260542869568},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7131335735321045},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5553850531578064},{"id":"https://openalex.org/keywords/congruence","display_name":"Congruence (geometry)","score":0.48344406485557556},{"id":"https://openalex.org/keywords/transition-system","display_name":"Transition system","score":0.4673868417739868},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4506731331348419},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.420554518699646},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4014620780944824},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4007786810398102},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3934325873851776},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.320384681224823},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21685773134231567},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09307229518890381}],"concepts":[{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.8851260542869568},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7131335735321045},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5553850531578064},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.48344406485557556},{"id":"https://openalex.org/C2779167558","wikidata":"https://www.wikidata.org/wiki/Q176468","display_name":"Transition system","level":2,"score":0.4673868417739868},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4506731331348419},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.420554518699646},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4014620780944824},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4007786810398102},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3934325873851776},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.320384681224823},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21685773134231567},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09307229518890381},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1016/s1571-0661(04)80358-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80358-x","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:cwi.nl:4192","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/4192","pdf_url":"https://ir.cwi.nl/pub/4192/04192D.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/other"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.12.7048","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.7048","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cwi.nl/~bartels/Papers/ProbabilisticGSOS/TechRep/ProbabilisticGSOS.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.14.3824","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.14.3824","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://homepages.cwi.nl/~bartels/Papers/ProbabilisticGSOS/TechRep/ProbabilisticGSOS.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.24.3299","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.24.3299","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cwi.nl/~bartels/Papers/ProbabilisticGSOS/ProbabilisticGSOS.ps.gz","raw_type":"text"},{"id":"mag:2461608415","is_oa":false,"landing_page_url":"https://ir.cwi.nl/pub/4192/04192D.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764899230","display_name":"Report - Software Engineering","issn_l":"1386-369X","issn":["1386-369X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Report - Software Engineering","raw_type":null}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(04)80358-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80358-x","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G629491556","display_name":null,"funder_award_id":"(NWO)","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320320885","display_name":"European Research Consortium for Informatics and Mathematics","ror":"https://ror.org/055zrhj18"},{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"},{"id":"https://openalex.org/F4320331116","display_name":"Centrum Wiskunde and Informatica","ror":"https://ror.org/00x7ekv49"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1488664597","https://openalex.org/W1509057155","https://openalex.org/W1543688617","https://openalex.org/W1563339455","https://openalex.org/W1966112122","https://openalex.org/W1976268573","https://openalex.org/W2057843304","https://openalex.org/W2088189323","https://openalex.org/W2101032471","https://openalex.org/W2123876422","https://openalex.org/W2128995870","https://openalex.org/W2135657750","https://openalex.org/W2341511048","https://openalex.org/W2886203768","https://openalex.org/W7053504691"],"related_works":["https://openalex.org/W2950045225","https://openalex.org/W1995897494","https://openalex.org/W2112298740","https://openalex.org/W2008636926","https://openalex.org/W2137336375","https://openalex.org/W2106301386","https://openalex.org/W2579884179","https://openalex.org/W1964440665","https://openalex.org/W2006026732","https://openalex.org/W2027519864","https://openalex.org/W1756668654","https://openalex.org/W3099742327","https://openalex.org/W1535812899","https://openalex.org/W81345837","https://openalex.org/W2763492048","https://openalex.org/W1483510990","https://openalex.org/W2262668424","https://openalex.org/W2251500794","https://openalex.org/W2330589374","https://openalex.org/W2305569592"],"abstract_inverted_index":{"We":[0],"introduce":[1],"probabilistic":[2,10,171,197],"GSOS,":[3],"an":[4,16],"operator":[5,77],"specification":[6,57,176],"format":[7,22,33,75,99,116,141,177],"for":[8,23,70,88,138,178],"(reactive)":[9],"transition":[11,26,172],"systems":[12,173],"which":[13,62],"arises":[14],"as":[15,91,120,199],"adaptation":[17],"of":[18,93,123,130,159,170,183,190,196,203],"the":[19,29,38,49,80,84,103,113,139,147,151,157,194],"known":[20],"GSOS":[21,115,198],"labelled":[24],"(nondeterministic)":[25],"systems.":[27],"Like":[28],"standard":[30],"one,":[31],"The":[32,74,97,187],"is":[34,45,53,154,193],"well":[35],"behaved":[36],"in":[37,112,146,156,181],"sense":[39],"that":[40,83,169],"on":[41],"all":[42],"models":[43,119],"bisimilarity":[44],"a":[46,59,124,128,175,200],"congruence":[47],"and":[48,107,117,127],"up-to-context":[50],"proof":[51],"principle":[52],"valid.":[54],"Moreover,":[55],"every":[56],"has":[58],"final":[60],"model":[61],"can":[63,142,165],"be":[64,144,166],"shown":[65],"to":[66],"offer":[67],"unique":[68],"solutions":[69],"guarded":[71],"recursive":[72],"equations.":[73],"covers":[76],"specifications":[78,111],"from":[79],"literature,":[81],"so":[82],"well-behavedness":[85,136],"results":[86,137],"given":[87],"those":[89],"arise":[90],"instances":[92],"our":[94],"general":[95],"one.":[96],"novel":[98],"was":[100],"obtained":[101],"via":[102],"following":[104],"procedure:":[105],"Turi":[106],"Plotkin":[108],"have":[109],"modelled":[110],"(standard)":[114],"their":[118],"natural":[121,185],"transformations":[122],"certain":[125],"shape":[126],"class":[129],"bialgebras":[131],"identified":[132],"by":[133],"them.":[134],"Several":[135],"concrete":[140],"elegantly":[143],"proved":[145],"categorical":[148],"setting.":[149],"Since":[150],"abstract":[152],"framework":[153],"parametric":[155],"type":[158],"system":[160],"behaviour":[161],"under":[162],"consideration,":[163],"it":[164],"instantiated":[167],"with":[168],"yielding":[174],"them,":[179],"again":[180],"terms":[182],"specific":[184],"transformations.":[186],"main":[188],"contribution":[189],"this":[191],"paper":[192],"derivation":[195],"rule-style":[201],"representation":[202],"those.":[204]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
