{"id":"https://openalex.org/W2565570475","doi":"https://doi.org/10.3233/fi-2016-1452","title":"Bisimulation Cuts For Structuring Markov Transition Systems","display_name":"Bisimulation Cuts For Structuring Markov Transition Systems","publication_year":2016,"publication_date":"2016-12-24","ids":{"openalex":"https://openalex.org/W2565570475","doi":"https://doi.org/10.3233/fi-2016-1452","mag":"2565570475"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2016-1452","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2016-1452","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/A5060662730","display_name":"Ernst\u2013Erich Doberkat","orcid":null},"institutions":[{"id":"https://openalex.org/I4210087817","display_name":"Software (Germany)","ror":"https://ror.org/004g36n56","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210087817"]},{"id":"https://openalex.org/I4210129983","display_name":"Mathys (Germany)","ror":"https://ror.org/02wv74f83","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210129983"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ernst-Erich Doberkat","raw_affiliation_strings":["Math++Software, Bochum, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Math++Software, Bochum, Germany","institution_ids":["https://openalex.org/I4210129983","https://openalex.org/I4210087817"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060662730"],"corresponding_institution_ids":["https://openalex.org/I4210087817","https://openalex.org/I4210129983"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15493537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"149","issue":"4","first_page":"363","last_page":"383"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9997000098228455,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9997000098228455,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9991000294685364,"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/T11567","display_name":"semigroups and automata theory","score":0.9937999844551086,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/congruence-relation","display_name":"Congruence relation","score":0.8422831296920776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7335568070411682},{"id":"https://openalex.org/keywords/galois-connection","display_name":"Galois connection","score":0.6554363965988159},{"id":"https://openalex.org/keywords/bisimulation","display_name":"Bisimulation","score":0.6148039698600769},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.5883057713508606},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.5539379715919495},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5384528636932373},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5264195799827576},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4772517681121826},{"id":"https://openalex.org/keywords/universal-algebra","display_name":"Universal algebra","score":0.47095876932144165},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.43959957361221313},{"id":"https://openalex.org/keywords/concurrency","display_name":"Concurrency","score":0.42094919085502625},{"id":"https://openalex.org/keywords/congruence","display_name":"Congruence (geometry)","score":0.41422879695892334},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41108131408691406},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36382412910461426},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17130884528160095},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08687835931777954}],"concepts":[{"id":"https://openalex.org/C9973445","wikidata":"https://www.wikidata.org/wiki/Q8349849","display_name":"Congruence relation","level":2,"score":0.8422831296920776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7335568070411682},{"id":"https://openalex.org/C2777573902","wikidata":"https://www.wikidata.org/wiki/Q1491747","display_name":"Galois connection","level":2,"score":0.6554363965988159},{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.6148039698600769},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.5883057713508606},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.5539379715919495},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5384528636932373},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5264195799827576},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4772517681121826},{"id":"https://openalex.org/C188971069","wikidata":"https://www.wikidata.org/wiki/Q1636734","display_name":"Universal algebra","level":3,"score":0.47095876932144165},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.43959957361221313},{"id":"https://openalex.org/C193702766","wikidata":"https://www.wikidata.org/wiki/Q1414548","display_name":"Concurrency","level":2,"score":0.42094919085502625},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.41422879695892334},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41108131408691406},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36382412910461426},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17130884528160095},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08687835931777954},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2016-1452","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2016-1452","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W755964800","https://openalex.org/W1014224054","https://openalex.org/W1545549932","https://openalex.org/W1566287143","https://openalex.org/W1568784934","https://openalex.org/W1589421353","https://openalex.org/W1601949003","https://openalex.org/W1968052448","https://openalex.org/W1971588557","https://openalex.org/W2023648368","https://openalex.org/W2061804241","https://openalex.org/W2078103992","https://openalex.org/W2088189323","https://openalex.org/W2090878603","https://openalex.org/W2964115819"],"related_works":["https://openalex.org/W2023238828","https://openalex.org/W2011718533","https://openalex.org/W1540451842","https://openalex.org/W2136070637","https://openalex.org/W4388918135","https://openalex.org/W2359727740","https://openalex.org/W2084181723","https://openalex.org/W2092098116","https://openalex.org/W3155501499","https://openalex.org/W1764221576"],"abstract_inverted_index":{"In":[0],"Universal":[1],"Algebra":[2],"the":[3,15,18,21,38,75,86],"structure":[4,19,39],"of":[5,20,40,52,77,81,91,96],"congruences":[6,41],"for":[7,36,42],"algebraic":[8],"systems":[9],"is":[10,25,55,64],"fairly":[11],"well":[12,26],"investigated,":[13],"and":[14,58,62],"relationship":[16],"to":[17,48,74],"underlying":[22],"system":[23],"proper":[24],"known.":[27],"We":[28],"propose":[29],"a":[30,49,67,82,89,94],"first":[31],"step":[32],"into":[33],"this":[34],"direction":[35],"studying":[37],"stochastic":[43],"relations.":[44],"A":[45],"Galois":[46],"connection":[47],"certain":[50],"class":[51],"Boolean":[53],"\u03c3-algebras":[54],"exploited,":[56],"atoms":[57],"antiatoms":[59],"are":[60,72],"identified,":[61],"it":[63],"show":[65],"that":[66],"\u03c3-basis":[68],"exists.":[69],"These":[70],"constructions":[71],"applied":[73],"problem":[76],"finding":[78],"bisimulation":[79],"cuts":[80,85],"congruence.":[83],"It":[84],"relation":[87],"through":[88],"span":[90],"morphisms":[92],"with":[93],"minimum":[95],"joint":[97],"events.":[98]},"counts_by_year":[],"updated_date":"2026-05-02T06:04:40.494371","created_date":"2025-10-10T00:00:00"}
