{"id":"https://openalex.org/W2130655577","doi":"https://doi.org/10.1093/logcom/exn093","title":"Exemplaric Expressivity of Modal Logics","display_name":"Exemplaric Expressivity of Modal Logics","publication_year":2009,"publication_date":"2009-02-03","ids":{"openalex":"https://openalex.org/W2130655577","doi":"https://doi.org/10.1093/logcom/exn093","mag":"2130655577"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exn093","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exn093","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","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/A5102972733","display_name":"Bart Jacobs","orcid":"https://orcid.org/0000-0002-0740-0336"},"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":true,"raw_author_name":"B. Jacobs","raw_affiliation_strings":["Institute for Computing and Information Sciences, Radboud University Nijmegen, P.O. Box 9010, 6500 GL Nijmegen, The Netherlands.E-mail:"],"affiliations":[{"raw_affiliation_string":"Institute for Computing and Information Sciences, Radboud University Nijmegen, P.O. Box 9010, 6500 GL Nijmegen, The Netherlands.E-mail:","institution_ids":["https://openalex.org/I145872427"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074223895","display_name":"Ana Sokolova","orcid":"https://orcid.org/0000-0002-8384-3438"},"institutions":[{"id":"https://openalex.org/I182212641","display_name":"University of Salzburg","ror":"https://ror.org/05gs8cd61","country_code":"AT","type":"education","lineage":["https://openalex.org/I182212641"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"A. Sokolova","raw_affiliation_strings":["Department of Computer Sciences, University of Salzburg, Jakob-Haringer-Str. 2, 5020 Salzburg, Austria.E-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Computer Sciences, University of Salzburg, Jakob-Haringer-Str. 2, 5020 Salzburg, Austria.E-mail:","institution_ids":["https://openalex.org/I182212641"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102972733"],"corresponding_institution_ids":["https://openalex.org/I145872427"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":5.4195,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.9571951,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"20","issue":"5","first_page":"1041","last_page":"1068"},"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/T10142","display_name":"Formal Methods in Verification","score":0.9993000030517578,"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/T10126","display_name":"Logic, programming, and type systems","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"}}],"keywords":[{"id":"https://openalex.org/keywords/expressivity","display_name":"Expressivity","score":0.938247561454773},{"id":"https://openalex.org/keywords/multiset","display_name":"Multiset","score":0.8293261528015137},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.6175274848937988},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5857670307159424},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.5614656209945679},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4906558096408844},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4550139009952545},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4439982771873474},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.44277578592300415},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.41577470302581787},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36056798696517944},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3469889163970947},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.1693735420703888},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.13615918159484863}],"concepts":[{"id":"https://openalex.org/C92811239","wikidata":"https://www.wikidata.org/wiki/Q20998670","display_name":"Expressivity","level":2,"score":0.938247561454773},{"id":"https://openalex.org/C2779623528","wikidata":"https://www.wikidata.org/wiki/Q864377","display_name":"Multiset","level":2,"score":0.8293261528015137},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6175274848937988},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5857670307159424},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.5614656209945679},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4906558096408844},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4550139009952545},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4439982771873474},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.44277578592300415},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.41577470302581787},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36056798696517944},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3469889163970947},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.1693735420703888},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.13615918159484863},{"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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1093/logcom/exn093","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exn093","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/693b5727-4510-416d-b909-96bbc42b851c","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/693b5727-4510-416d-b909-96bbc42b851c","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Jacobs, B P F & Sokolova, A 2010, 'Exemplaric expressivity of modal logics', Journal of Logic and Computation, vol. 20, no. 5, pp. 1041-1068. https://doi.org/10.1093/logcom/exn093","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:691698","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=691698","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0955-792X","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.142.5688","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.142.5688","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ru.nl/B.Jacobs/PAPERS/expressivity.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.510.5382","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.510.5382","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cs.uni-salzburg.at/~anas/papers/expressivity-final.pdf","raw_type":"text"},{"id":"pmh:oai:library.tue.nl:691698","is_oa":false,"landing_page_url":"http://repository.tue.nl/691698","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0955-792X","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/83637","is_oa":false,"landing_page_url":"https://hdl.handle.net/2066/83637","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 / Letter to editor"},{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/83637","is_oa":false,"landing_page_url":"http://hdl.handle.net/2066/83637","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":"Journal of Logic and Computation, 20, 1041 - 1068","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:tue:oai:pure.tue.nl:publications/693b5727-4510-416d-b909-96bbc42b851c","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/693b5727-4510-416d-b909-96bbc42b851c","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":"Journal of Logic and Computation, 20(5), 1041 - 1068. Oxford University Press","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W13377856","https://openalex.org/W342302233","https://openalex.org/W583126019","https://openalex.org/W1508750282","https://openalex.org/W1510082095","https://openalex.org/W1568599313","https://openalex.org/W1865728679","https://openalex.org/W1976268573","https://openalex.org/W1981607181","https://openalex.org/W1982431152","https://openalex.org/W2006445902","https://openalex.org/W2056099894","https://openalex.org/W2078103992","https://openalex.org/W2086788473","https://openalex.org/W2088189323","https://openalex.org/W2088378600","https://openalex.org/W2092744709","https://openalex.org/W2100893927","https://openalex.org/W2120529054","https://openalex.org/W2120926795","https://openalex.org/W2123546155","https://openalex.org/W2123876422","https://openalex.org/W2133256831","https://openalex.org/W2139772363","https://openalex.org/W2140570142","https://openalex.org/W2142018979","https://openalex.org/W2154547008","https://openalex.org/W2167981859","https://openalex.org/W2912848864","https://openalex.org/W4213277014"],"related_works":["https://openalex.org/W4300455649","https://openalex.org/W2296588302","https://openalex.org/W4328119206","https://openalex.org/W2033245919","https://openalex.org/W4252409532","https://openalex.org/W2006067547","https://openalex.org/W9228044","https://openalex.org/W3143753676","https://openalex.org/W2954483618","https://openalex.org/W2770810599"],"abstract_inverted_index":{"Abstract.":[0],"This":[1],"paper":[2],"investigates":[3],"expressivity":[4,90],"of":[5,20,53,75,83,88,98,102,114],"modal":[6],"logics":[7,59],"for":[8],"transition":[9],"sys-tems,":[10],"multitransition":[11],"systems,":[12],"Markov":[13,16],"chains,":[14],"and":[15,29,58,60,77,79],"processes,":[17],"as":[18],"coal-gebras":[19],"the":[21,40,51,73,81,96,99,112,115],"powerset,":[22],"finitely":[23,26],"supported":[24,27],"multiset,":[25],"distribu-tion,":[28],"measure":[30],"functor,":[31],"respectively.":[32],"Expressivity":[33],"means":[34],"that":[35],"logically":[36],"indis-tinguishable":[37],"states,":[38],"satisfying":[39],"same":[41],"formulas,":[42],"are":[43,92],"behaviourally":[44],"indistinguish-able.":[45],"The":[46,67],"investigation":[47],"is":[48,69,109],"based":[49],"on":[50,62],"framework":[52],"dual":[54,103],"adjunctions":[55,104],"between":[56],"spaces":[57],"focuses":[61],"a":[63,84],"crucial":[64],"injectivity":[65],"property.":[66],"approach":[68],"generic":[70],"both":[71],"in":[72,80],"choice":[74,82],"systems":[76],"modalities,":[78],"\u201cbase":[85],"logic\u201d.":[86],"Most":[87],"these":[89,106],"results":[91],"already":[93],"known,":[94],"but":[95],"applicability":[97],"uniform":[100],"setting":[101],"to":[105],"particular":[107],"examples":[108],"what":[110],"constitutes":[111],"contribution":[113],"paper.":[116],"1":[117]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}