{"id":"https://openalex.org/W2796784910","doi":"https://doi.org/10.1007/978-3-319-89366-2_12","title":"Logics for Bisimulation and Divergence","display_name":"Logics for Bisimulation and Divergence","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2796784910","doi":"https://doi.org/10.1007/978-3-319-89366-2_12","mag":"2796784910"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-89366-2_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-89366-2_12","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1007/978-3-319-89366-2_12","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100379552","display_name":"Xinxin Liu","orcid":"https://orcid.org/0000-0002-8334-8277"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinxin Liu","raw_affiliation_strings":["State Key Laboratory of Computer Science, Institute of Software, CAS, University of Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Computer Science, Institute of Software, CAS, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102778122","display_name":"Tingting Yu","orcid":"https://orcid.org/0000-0002-5645-0874"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tingting Yu","raw_affiliation_strings":["State Key Laboratory of Computer Science, Institute of Software, CAS, University of Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-5645-0874","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Computer Science, Institute of Software, CAS, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100399717","display_name":"Wenhui Zhang","orcid":"https://orcid.org/0000-0002-3768-1917"},"institutions":[{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenhui Zhang","raw_affiliation_strings":["State Key Laboratory of Computer Science, Institute of Software, CAS, University of Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Computer Science, Institute of Software, CAS, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"221","last_page":"237"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9973999857902527,"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"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9973999857902527,"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/T10142","display_name":"Formal Methods in Verification","score":0.9959999918937683,"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":0.9950000047683716,"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/bisimulation","display_name":"Bisimulation","score":0.6739245653152466},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.610369086265564},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.558158814907074},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.5411713123321533},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4797457456588745},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.4722822606563568},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44573405385017395},{"id":"https://openalex.org/keywords/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.4330989718437195},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42014065384864807},{"id":"https://openalex.org/keywords/modality","display_name":"Modality (human\u2013computer interaction)","score":0.41100698709487915},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3801169991493225},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09199586510658264},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06786620616912842}],"concepts":[{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.6739245653152466},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.610369086265564},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.558158814907074},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.5411713123321533},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4797457456588745},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.4722822606563568},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44573405385017395},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.4330989718437195},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42014065384864807},{"id":"https://openalex.org/C2780226545","wikidata":"https://www.wikidata.org/wiki/Q6888030","display_name":"Modality (human\u2013computer interaction)","level":2,"score":0.41100698709487915},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3801169991493225},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09199586510658264},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06786620616912842},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C172385210","wikidata":"https://www.wikidata.org/wiki/Q5339","display_name":"Transistor","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-89366-2_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-89366-2_12","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-319-89366-2_12","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-319-89366-2_12","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.5199999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W258022877","https://openalex.org/W1547562281","https://openalex.org/W1577673148","https://openalex.org/W1883772204","https://openalex.org/W1978469611","https://openalex.org/W1985161650","https://openalex.org/W1990440312","https://openalex.org/W2021473546","https://openalex.org/W2098981343","https://openalex.org/W2103718058","https://openalex.org/W2107144615","https://openalex.org/W2160548641","https://openalex.org/W2562650109","https://openalex.org/W2952252756","https://openalex.org/W3000511677"],"related_works":["https://openalex.org/W2393457982","https://openalex.org/W2950451044","https://openalex.org/W2810752651","https://openalex.org/W1561726863","https://openalex.org/W2121590963","https://openalex.org/W1687545754","https://openalex.org/W2977638645","https://openalex.org/W4294810627","https://openalex.org/W2373879591","https://openalex.org/W2086275630"],"abstract_inverted_index":{"The":[0],"study":[1],"of":[2,54,80,184,212],"modal":[3,27,193],"logics":[4,204],"and":[5,34,57,95,106,150,199,207],"various":[6],"bisimulation":[7],"equivalences":[8],"so":[9],"far":[10],"shows":[11],"the":[12,40,61,88,92,109,114,119,159,164,185,187,201,213],"following":[13,120],"progression:":[14],"1.":[15],"weak":[16,31,41,55,110,138,148,165,197],"bisimilarity":[17,74,149,152,177],"is":[18],"characterized":[19],"by":[20,38,90,98,162],"Hennessy-Milner":[21],"logic":[22,28,47,62,70,134,161,173,188,215],"(HML),":[23],"a":[24,30,46,52,64,69,78,103,126,132,192],"simple":[25],"propositional":[26],"with":[29,63,75,102,125,143,153,178],"possibility":[32,42,111,166],"modality,":[33],"2.":[35],"extending":[36,60,100,123,158],"HML":[37,101,124],"refining":[39,108,163],"modality":[43,66,105,112,129,167],"one":[44,67,130,170],"obtains":[45,68,131,171],"which":[48,71,135,174],"characterizes":[49,72,136,175],"branching":[50,73,81,151,176],"bisimilarity,":[51,56,139,198],"refinement":[53,79],"3.":[58,219],"further":[59,157],"divergence":[65,104,128],"explicit":[76,154,179],"divergence,":[77],"bisimilarity.":[82],"In":[83],"this":[84],"paper,":[85,186],"we":[86],"explore":[87],"development":[89],"exchanging":[91],"above":[93,218],"2":[94],"3,":[96],"i.e.":[97],"first":[99],"then":[107],"in":[113,146,168,189,205,217],"extended":[115],"logic.":[116],"We":[117],"have":[118],"findings:":[121],"A.":[122,190,206],"new":[127,133,203],"complete":[137,196],"an":[140],"equivalence":[141],"relation":[142],"distinguishing":[144],"power":[145],"between":[147],"divergence;":[155],"B.":[156,208],"obtained":[160,216],"it":[169],"another":[172],"divergence.":[180],"As":[181],"main":[182],"results":[183],"provides":[191],"characterization":[194],"for":[195],"moreover":[200],"two":[202],"are":[209],"both":[210],"sub-logics":[211],"known":[214]},"counts_by_year":[{"year":2020,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}