{"id":"https://openalex.org/W7168373030","doi":"https://doi.org/10.4230/lipics.fscd.2026.20","title":"Relational Dualities and Bisimulation","display_name":"Relational Dualities and Bisimulation","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7168373030","doi":"https://doi.org/10.4230/lipics.fscd.2026.20"},"language":"en","primary_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:26370","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2026.20","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol378-fscd2026/LIPIcs.FSCD.2026.20/LIPIcs.FSCD.2026.20.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"InProceedings"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol378-fscd2026/LIPIcs.FSCD.2026.20/LIPIcs.FSCD.2026.20.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5140931874","display_name":"Piotr Kozicki","orcid":"https://orcid.org/0009-0003-5730-6895"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Kozicki, Piotr","raw_affiliation_strings":["University of Bristol, United Kingdom"],"raw_orcid":"https://orcid.org/0009-0003-5730-6895","affiliations":[{"raw_affiliation_string":"University of Bristol, United Kingdom","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5140891540","display_name":"G. A. Kavvos","orcid":"https://orcid.org/0000-0001-7953-7975"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Kavvos, G. A.","raw_affiliation_strings":["University of Bristol, United Kingdom"],"raw_orcid":"https://orcid.org/0000-0001-7953-7975","affiliations":[{"raw_affiliation_string":"University of Bristol, United Kingdom","institution_ids":["https://openalex.org/I36234482"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I36234482"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.87116741,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.8521999716758728,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.8521999716758728,"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/T10126","display_name":"Logic, programming, and type systems","score":0.06199999898672104,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.03790000081062317,"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/kripke-semantics","display_name":"Kripke semantics","score":0.656499981880188},{"id":"https://openalex.org/keywords/sketch","display_name":"Sketch","score":0.6011000275611877},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5392000079154968},{"id":"https://openalex.org/keywords/modal-operator","display_name":"Modal operator","score":0.5273000001907349},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.5026000142097473},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.49320000410079956},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.4553999900817871},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.44110000133514404},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.44029998779296875}],"concepts":[{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.656499981880188},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6118000149726868},{"id":"https://openalex.org/C2779231336","wikidata":"https://www.wikidata.org/wiki/Q7534724","display_name":"Sketch","level":2,"score":0.6011000275611877},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5392000079154968},{"id":"https://openalex.org/C78344899","wikidata":"https://www.wikidata.org/wiki/Q638442","display_name":"Modal operator","level":4,"score":0.5273000001907349},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.5026000142097473},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.49320000410079956},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.4553999900817871},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.44110000133514404},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.44029998779296875},{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.3840999901294708},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.37459999322891235},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.36800000071525574},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3517000079154968},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.34709998965263367},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.336899995803833},{"id":"https://openalex.org/C2780432614","wikidata":"https://www.wikidata.org/wiki/Q864213","display_name":"Conservative extension","level":2,"score":0.3314000070095062},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.32339999079704285},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.32330000400543213},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3149000108242035},{"id":"https://openalex.org/C52268767","wikidata":"https://www.wikidata.org/wiki/Q1248245","display_name":"Relational theory","level":2,"score":0.30320000648498535},{"id":"https://openalex.org/C188971069","wikidata":"https://www.wikidata.org/wiki/Q1636734","display_name":"Universal algebra","level":3,"score":0.3001999855041504},{"id":"https://openalex.org/C95916125","wikidata":"https://www.wikidata.org/wiki/Q840540","display_name":"Relational algebra","level":3,"score":0.287200003862381},{"id":"https://openalex.org/C86602344","wikidata":"https://www.wikidata.org/wiki/Q7667918","display_name":"T-norm fuzzy logics","level":5,"score":0.27810001373291016},{"id":"https://openalex.org/C99436015","wikidata":"https://www.wikidata.org/wiki/Q1722436","display_name":"Relational calculus","level":4,"score":0.2718999981880188},{"id":"https://openalex.org/C173125200","wikidata":"https://www.wikidata.org/wiki/Q5275729","display_name":"Modal \u03bc-calculus","level":5,"score":0.26159998774528503},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C74992188","wikidata":"https://www.wikidata.org/wiki/Q239179","display_name":"Non-classical logic","level":3,"score":0.2574999928474426}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:drops-oai.dagstuhl.de:26370","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2026.20","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol378-fscd2026/LIPIcs.FSCD.2026.20/LIPIcs.FSCD.2026.20.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"InProceedings"},{"id":"doi:10.4230/lipics.fscd.2026.20","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.fscd.2026.20","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:26370","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSCD.2026.20","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol378-fscd2026/LIPIcs.FSCD.2026.20/LIPIcs.FSCD.2026.20.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"InProceedings"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4449877440929413,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7168373030.pdf","grobid_xml":"https://content.openalex.org/works/W7168373030.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0],"Kripke":[1],"semantics":[2],"of":[3,13,22,39,47,91],"various":[4],"logics":[5],"arises":[6],"via":[7],"categorical":[8],"dualities":[9,111],"between":[10,73,81,121],"a":[11,20,40,115],"category":[12,21],"relational":[14,29,89],"frames":[15,30],"and":[16,19,24,99],"their":[17],"maps,":[18],"algebras":[23],"logical":[25,48],"homomorphisms.":[26],"When":[27],"the":[28,37,42],"are":[31],"considered":[32],"as":[33],"computational":[34],"systems":[35,52,74],"(e.g.":[36,53,75],"states":[38],"machine),":[41],"corresponding":[43],"algebra":[44],"is":[45,63,84],"one":[46],"predicates":[49,54],"on":[50,55],"these":[51,56,110],"states,":[57],"i.e.":[58],"program":[59],"logics).":[60],"Our":[61],"aim":[62],"to":[64,68,114],"extend":[65],"this":[66],"phenomenon":[67],"relations,":[69],"putting":[70],"well-behaved":[71],"relations":[72,80],"bisimulations)":[76],"in":[77],"correspondence":[78],"with":[79],"predicates.":[82],"This":[83],"achieved":[85],"by":[86],"constructing":[87],"particular":[88],"extensions":[90],"Tarski":[92],"duality":[93,101],"(for":[94,102],"infinitary":[95,103],"classical":[96,104],"propositional":[97],"logic)":[98],"Thomason":[100],"modal":[105],"logic).":[106],"We":[107],"sketch":[108],"how":[109],"give":[112],"rise":[113],"proof":[116],"system":[117],"that":[118],"relates":[119],"formulae":[120],"different":[122],"systems.":[123]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-07-16T00:00:00"}