{"id":"https://openalex.org/W3165347444","doi":"https://doi.org/10.1109/lics52264.2021.9470656","title":"Expressivity of Quantitative Modal Logics : Categorical Foundations via Codensity and Approximation","display_name":"Expressivity of Quantitative Modal Logics : Categorical Foundations via Codensity and Approximation","publication_year":2021,"publication_date":"2021-06-29","ids":{"openalex":"https://openalex.org/W3165347444","doi":"https://doi.org/10.1109/lics52264.2021.9470656","mag":"3165347444"},"language":"en","primary_location":{"id":"doi:10.1109/lics52264.2021.9470656","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics52264.2021.9470656","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2105.10164","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027518479","display_name":"Yuichi Komorida","orcid":"https://orcid.org/0000-0002-3371-5243"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]},{"id":"https://openalex.org/I200475212","display_name":"The Graduate University for Advanced Studies, SOKENDAI","ror":"https://ror.org/0516ah480","country_code":"JP","type":"education","lineage":["https://openalex.org/I200475212"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yuichi Komorida","raw_affiliation_strings":["National Institute of Informatics, Tokyo, Japan","SOKENDAI, The Graduate University for Advanced Studies, Hayama, Japan","The Graduate University for Advanced Studies, Hayama, Japan and National Institute of Informatics, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Informatics, Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]},{"raw_affiliation_string":"SOKENDAI, The Graduate University for Advanced Studies, Hayama, Japan","institution_ids":["https://openalex.org/I200475212"]},{"raw_affiliation_string":"The Graduate University for Advanced Studies, Hayama, Japan and National Institute of Informatics, Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041431787","display_name":"Shin-ya Katsumata","orcid":"https://orcid.org/0000-0001-7529-5489"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shin-ya Katsumata","raw_affiliation_strings":["National Institute of Informatics, Tokyo, Japan","National Institute of Informatics,Tokyo, Japan#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Informatics, Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]},{"raw_affiliation_string":"National Institute of Informatics,Tokyo, Japan#TAB#","institution_ids":["https://openalex.org/I184597095"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058618165","display_name":"Clemens Kupke","orcid":"https://orcid.org/0000-0002-0502-391X"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Clemens Kupke","raw_affiliation_strings":["University of Strathclyde, United Kingdom","University of Strathclyde United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Strathclyde, United Kingdom","institution_ids":["https://openalex.org/I181647926"]},{"raw_affiliation_string":"University of Strathclyde United Kingdom","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015520868","display_name":"Jurriaan Rot","orcid":"https://orcid.org/0000-0002-1404-6232"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Jurriaan Rot","raw_affiliation_strings":["Radboud University, Nijmegen, The Netherlands","Radboud University, Nijmegen The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Radboud University, Nijmegen, The Netherlands","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"Radboud University, Nijmegen The Netherlands","institution_ids":["https://openalex.org/I145872427"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013382452","display_name":"Ichiro Hasuo","orcid":"https://orcid.org/0000-0002-8300-4650"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]},{"id":"https://openalex.org/I200475212","display_name":"The Graduate University for Advanced Studies, SOKENDAI","ror":"https://ror.org/0516ah480","country_code":"JP","type":"education","lineage":["https://openalex.org/I200475212"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Ichiro Hasuo","raw_affiliation_strings":["National Institute of Informatics, Tokyo, Japan","SOKENDAI, The Graduate University for Advanced Studies, Hayama, Japan","The Graduate University for Advanced Studies, Hayama, Japan and National Institute of Informatics, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Institute of Informatics, Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]},{"raw_affiliation_string":"SOKENDAI, The Graduate University for Advanced Studies, Hayama, Japan","institution_ids":["https://openalex.org/I200475212"]},{"raw_affiliation_string":"The Graduate University for Advanced Studies, Hayama, Japan and National Institute of Informatics, Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05412587,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9984999895095825,"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":0.9980000257492065,"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/expressivity","display_name":"Expressivity","score":0.9639030694961548},{"id":"https://openalex.org/keywords/bisimulation","display_name":"Bisimulation","score":0.7314791083335876},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.7112568020820618},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.7074532508850098},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.667433500289917},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.661504864692688},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5661433935165405},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.5324569344520569},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4590204656124115},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.43245917558670044},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.37768614292144775},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3317793011665344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.256009042263031},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1898190677165985},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1786012053489685},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.15788322687149048},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.14735212922096252}],"concepts":[{"id":"https://openalex.org/C92811239","wikidata":"https://www.wikidata.org/wiki/Q20998670","display_name":"Expressivity","level":2,"score":0.9639030694961548},{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.7314791083335876},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.7112568020820618},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.7074532508850098},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.667433500289917},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.661504864692688},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5661433935165405},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.5324569344520569},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4590204656124115},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.43245917558670044},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.37768614292144775},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3317793011665344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.256009042263031},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1898190677165985},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1786012053489685},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.15788322687149048},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.14735212922096252},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/lics52264.2021.9470656","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics52264.2021.9470656","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2105.10164","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2105.10164","pdf_url":"https://arxiv.org/pdf/2105.10164","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"mag:3165347444","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2105.10164v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:repository.ubn.ru.nl:2066/236562","is_oa":false,"landing_page_url":"https://hdl.handle.net/2066/236562","pdf_url":null,"source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article in monograph or in proceedings"},{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/236562","is_oa":false,"landing_page_url":"http://hdl.handle.net/2066/236562","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Libkin, L. (ed.), 2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 29 June 2021 - 2 July 2021, Rome, Italy / Virtual, 1 - 14. ACM","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2105.10164","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2105.10164","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2105.10164","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2105.10164","pdf_url":"https://arxiv.org/pdf/2105.10164","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4128149810","display_name":"\u89b3\u6e2c\u30e2\u30fc\u30c9\u306b\u4f9d\u3089\u306a\u3044\u30b7\u30b9\u30c6\u30e0\u89e3\u6790\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u958b\u767a\uff1a\u30d5\u30a1\u30a4\u30d0\u30fc\u570f\u306b\u3088\u308b\u30a2\u30d7\u30ed\u30fc\u30c1","funder_award_id":"21J13334","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G5913768863","display_name":null,"funder_award_id":"JPMJER1603","funder_id":"https://openalex.org/F4320338112","funder_display_name":"Exploratory Research for Advanced Technology"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320338112","display_name":"Exploratory Research for Advanced Technology","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W173641204","https://openalex.org/W1503973138","https://openalex.org/W1508750282","https://openalex.org/W1510082095","https://openalex.org/W1568599313","https://openalex.org/W1978469611","https://openalex.org/W1998786211","https://openalex.org/W2015172530","https://openalex.org/W2053662828","https://openalex.org/W2060917500","https://openalex.org/W2063972032","https://openalex.org/W2070034419","https://openalex.org/W2086788473","https://openalex.org/W2088189323","https://openalex.org/W2104717233","https://openalex.org/W2120529054","https://openalex.org/W2165956394","https://openalex.org/W2170805715","https://openalex.org/W2468444917","https://openalex.org/W2606280575","https://openalex.org/W2776184628","https://openalex.org/W2810752651","https://openalex.org/W2890208395","https://openalex.org/W2944100452","https://openalex.org/W2962901248","https://openalex.org/W2964191283","https://openalex.org/W2964568064","https://openalex.org/W2965281730","https://openalex.org/W2996036061","https://openalex.org/W3080225856","https://openalex.org/W3082212662","https://openalex.org/W3176847254","https://openalex.org/W3189472968","https://openalex.org/W4213168386","https://openalex.org/W4213277014","https://openalex.org/W4232277105","https://openalex.org/W6606953289","https://openalex.org/W6746847876","https://openalex.org/W6752439382","https://openalex.org/W6771429279","https://openalex.org/W6780243938"],"related_works":["https://openalex.org/W94562101","https://openalex.org/W2949413316","https://openalex.org/W2035778661","https://openalex.org/W1558384830","https://openalex.org/W102058762","https://openalex.org/W3212934826","https://openalex.org/W2712799786","https://openalex.org/W2135086513","https://openalex.org/W1584137897","https://openalex.org/W1944365733","https://openalex.org/W2787076848","https://openalex.org/W1976342677","https://openalex.org/W2963538936","https://openalex.org/W1595139336","https://openalex.org/W2175785087","https://openalex.org/W3105262158","https://openalex.org/W2286031956","https://openalex.org/W2241066281","https://openalex.org/W2912466821","https://openalex.org/W3023121176"],"abstract_inverted_index":{"A":[0,106],"modal":[1,78],"logic":[2],"that":[3,126],"is":[4,15,68,109,151],"strong":[5],"enough":[6],"to":[7,25,35,72],"fully":[8],"characterize":[9],"the":[10,20,32,63,74,89,100,110],"behavior":[11],"of":[12,23,43,53,65,76,103,116],"a":[13,41,59,147],"system":[14],"called":[16],"expressive.":[17],"Recently,":[18],"with":[19],"growing":[21],"diversity":[22],"systems":[24],"be":[26],"reasoned":[27],"about":[28],"(probabilistic,":[29],"cyber-physical,":[30],"etc.),":[31],"focus":[33],"shifted":[34],"quantitative":[36,47,55,82,95,129],"settings":[37],"which":[38],"resulted":[39],"in":[40,144],"number":[42],"expressivity":[44,56,96,130,149],"results":[45,57,131],"for":[46,80,93,154],"logics":[48,79],"and":[49,137],"behavioral":[50],"metrics.":[51,123],"Each":[52],"these":[54,66],"uses":[58],"tailor-made":[60],"argument;":[61],"distilling":[62],"essence":[64],"arguments":[67],"non-trivial,":[69],"yet":[70],"important":[71],"support":[73],"design":[75],"expressive":[77],"new":[81,101,148],"settings.":[83],"In":[84],"this":[85],"paper,":[86],"we":[87,156],"present":[88],"first":[90],"categorical":[91],"framework":[92],"deriving":[94],"results,":[97],"based":[98],"on":[99],"notion":[102],"approximating":[104],"family.":[105],"key":[107],"ingredient":[108],"codensity":[111],"lifting-a":[112],"uniform":[113],"observation-centric":[114],"construction":[115],"various":[117],"bisimilarity-like":[118],"notions":[119],"such":[120],"as":[121],"bisimulation":[122,158],"We":[124],"show":[125],"several":[127],"recent":[128],"(e.g.":[132],"by":[133,138],"K\u00f6nig":[134],"et":[135,140],"al.":[136],"Fijalkow":[139],"al.)":[141],"are":[142],"accommodated":[143],"our":[145],"framework;":[146],"result":[150],"derived,":[152],"too,":[153],"what":[155],"call":[157],"uniformity.":[159]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}