{"id":"https://openalex.org/W2107471150","doi":"https://doi.org/10.1109/lics.2002.1029849","title":"The metric analogue of weak bisimulation for probabilistic processes","display_name":"The metric analogue of weak bisimulation for probabilistic processes","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W2107471150","doi":"https://doi.org/10.1109/lics.2002.1029849","mag":"2107471150"},"language":"en","primary_location":{"id":"doi:10.1109/lics.2002.1029849","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics.2002.1029849","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 17th Annual IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-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/A5000109637","display_name":"Jos\u00e9e Desharnais","orcid":"https://orcid.org/0000-0003-2410-3314"},"institutions":[{"id":"https://openalex.org/I43406934","display_name":"Universit\u00e9 Laval","ror":"https://ror.org/04sjchr03","country_code":"CA","type":"education","lineage":["https://openalex.org/I43406934"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"J. Desharnais","raw_affiliation_strings":["D\u00e9partement dE28099Informatique, Universit\u00e9 Laval, QUE, Canada","Dept. d'Inf., Laval Univ., Que., Canada"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement dE28099Informatique, Universit\u00e9 Laval, QUE, Canada","institution_ids":["https://openalex.org/I43406934"]},{"raw_affiliation_string":"Dept. d'Inf., Laval Univ., Que., Canada","institution_ids":["https://openalex.org/I43406934"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108192878","display_name":"Radha Jagadeesan","orcid":null},"institutions":[{"id":"https://openalex.org/I1925986","display_name":"Loyola University Chicago","ror":"https://ror.org/04b6x2g63","country_code":"US","type":"education","lineage":["https://openalex.org/I1925986"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. Jagadeesan","raw_affiliation_strings":["Department of Computer Science, Loyola University Lake Shore Campus, Chicago, IL, USA","Loyola University, Lake Shore Campus"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Loyola University Lake Shore Campus, Chicago, IL, USA","institution_ids":["https://openalex.org/I1925986"]},{"raw_affiliation_string":"Loyola University, Lake Shore Campus","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057336278","display_name":"Vineet Gupta","orcid":"https://orcid.org/0000-0002-2372-5288"},"institutions":[{"id":"https://openalex.org/I215109790","display_name":"Stratasys (Israel)","ror":"https://ror.org/042hp4645","country_code":"IL","type":"company","lineage":["https://openalex.org/I215109790","https://openalex.org/I4210163352"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"V. Gupta","raw_affiliation_strings":["Stratify, Inc., Mountain View, CA, USA","Stratify Inc"],"affiliations":[{"raw_affiliation_string":"Stratify, Inc., Mountain View, CA, USA","institution_ids":["https://openalex.org/I215109790"]},{"raw_affiliation_string":"Stratify Inc","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068822568","display_name":"Prakash Panangaden","orcid":"https://orcid.org/0000-0001-8763-6172"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"P. Panangaden","raw_affiliation_strings":["School of Computer Science, McGill University, Montreal, QUE, Canada","McGill University"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"McGill University","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5000109637"],"corresponding_institution_ids":["https://openalex.org/I43406934"],"apc_list":null,"apc_paid":null,"fwci":10.9104,"has_fulltext":false,"cited_by_count":160,"citation_normalized_percentile":{"value":0.98751201,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"413","last_page":"422"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9991999864578247,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9991999864578247,"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/T10142","display_name":"Formal Methods in Verification","score":0.9930999875068665,"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/T10919","display_name":"Neurological disorders and treatments","score":0.9876999855041504,"subfield":{"id":"https://openalex.org/subfields/2728","display_name":"Neurology"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bisimulation","display_name":"Bisimulation","score":0.8938705921173096},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6631472110748291},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6156837344169617},{"id":"https://openalex.org/keywords/combinatory-logic","display_name":"Combinatory logic","score":0.5670393705368042},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5306735634803772},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.4890759587287903},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4708646833896637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4578586518764496},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4267506003379822},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40958285331726074},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37674516439437866},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32899221777915955},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09374332427978516},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.092966228723526}],"concepts":[{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.8938705921173096},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6631472110748291},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6156837344169617},{"id":"https://openalex.org/C79678938","wikidata":"https://www.wikidata.org/wiki/Q1481571","display_name":"Combinatory logic","level":2,"score":0.5670393705368042},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5306735634803772},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.4890759587287903},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4708646833896637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4578586518764496},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4267506003379822},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40958285331726074},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37674516439437866},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32899221777915955},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09374332427978516},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.092966228723526},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/lics.2002.1029849","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics.2002.1029849","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 17th Annual IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.2.6192","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.2.6192","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://fpl.cs.depaul.edu/rjagadeesan/ftp/LICS02.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.7.4649","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.7.4649","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://rl.cs.mcgill.ca/~prakash/lics-full-sub.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1482332845","https://openalex.org/W1484364085","https://openalex.org/W1531625469","https://openalex.org/W1543526731","https://openalex.org/W1579183220","https://openalex.org/W1736113712","https://openalex.org/W1810681804","https://openalex.org/W1850900101","https://openalex.org/W1852424686","https://openalex.org/W1865728679","https://openalex.org/W1966212263","https://openalex.org/W1974090207","https://openalex.org/W1974680648","https://openalex.org/W1976268573","https://openalex.org/W2000108089","https://openalex.org/W2024355065","https://openalex.org/W2024995880","https://openalex.org/W2049620578","https://openalex.org/W2051374214","https://openalex.org/W2099111195","https://openalex.org/W2113391296","https://openalex.org/W2119122895","https://openalex.org/W2130773382","https://openalex.org/W2133409888","https://openalex.org/W2152692559","https://openalex.org/W2323201333","https://openalex.org/W2596682183","https://openalex.org/W4249775755","https://openalex.org/W6634422304","https://openalex.org/W6641534382"],"related_works":["https://openalex.org/W2026765907","https://openalex.org/W4307413753","https://openalex.org/W1975604118","https://openalex.org/W119766800","https://openalex.org/W2162268423","https://openalex.org/W2313450777","https://openalex.org/W2988498873","https://openalex.org/W4242826518","https://openalex.org/W4236097997","https://openalex.org/W3142526198"],"abstract_inverted_index":{"We":[0,21,42,72],"observe":[1],"that":[2,75,89,115],"equivalence":[3],"is":[4],"not":[5],"a":[6,23,44,123],"robust":[7],"concept":[8],"in":[9,29,95],"the":[10,19,30,49,65,85,96],"presence":[11],"of":[12,26,32,48,64,78,102,111,126],"numerical":[13],"information":[14],"-":[15,122],"such":[16],"as":[17],"probabilities-in":[18],"model.":[20],"develop":[22],"metric":[24,37,62,97],"analogue":[25],"weak":[27],"bisimulation":[28],"spirit":[31],"our":[33],"earlier":[34],"work":[35],"on":[36],"analogues":[38,63],"for":[39,69],"strong":[40],"bisimulation.":[41],"give":[43],"fixed":[45],"point":[46],"characterization":[47],"metric.":[50],"This":[51],"makes":[52],"available":[53],"conductive":[54],"reasoning":[55],"principles":[56],"and":[57],"allows":[58],"us":[59],"to":[60,84,129],"prove":[61],"usual":[66],"algebraic":[67],"laws":[68],"process":[70],"combinators.":[71],"also":[73],"show":[74,114],"quantitative":[76,100,124],"properties":[77,101],"interest":[79,103],"are":[80,93,104],"continuous":[81],"with":[82],"respect":[83],"metric,":[86],"which":[87],"says":[88],"if":[90],"two":[91],"processes":[92,117],"close":[94],"then":[98],"observable":[99],"indeed":[105],"close.":[106],"As":[107],"an":[108],"important":[109],"example":[110],"this":[112],"we":[113],"nearby":[116,119],"have":[118],"channel":[120],"capacities":[121],"measure":[125],"their":[127],"propensity":[128],"leak":[130],"information.":[131]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":18},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
