{"id":"https://openalex.org/W2017288906","doi":"https://doi.org/10.1016/s1571-0661(04)80363-3","title":"Definability, Canonical Models, Compactness for Finitary Coalgebraic Modal Logic","display_name":"Definability, Canonical Models, Compactness for Finitary Coalgebraic Modal Logic","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W2017288906","doi":"https://doi.org/10.1016/s1571-0661(04)80363-3","mag":"2017288906"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(04)80363-3","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80363-3","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(04)80363-3","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057868877","display_name":"Alexander Kurz","orcid":"https://orcid.org/0000-0002-8685-5207"},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Alexander Kurz","raw_affiliation_strings":["CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands"],"affiliations":[{"raw_affiliation_string":"CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I1341640284"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077171828","display_name":"Dirk Pattinson","orcid":"https://orcid.org/0000-0002-5832-6666"},"institutions":[{"id":"https://openalex.org/I8204097","display_name":"Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/05591te55","country_code":"DE","type":"education","lineage":["https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Dirk Pattinson","raw_affiliation_strings":["Ludwig-Maximilians-Universit\u00e4t M\u00fcchen, Oettingenstr. 67, 80538 M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Ludwig-Maximilians-Universit\u00e4t M\u00fcchen, Oettingenstr. 67, 80538 M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I8204097"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057868877","https://openalex.org/A5077171828"],"corresponding_institution_ids":["https://openalex.org/I1341640284","https://openalex.org/I8204097"],"apc_list":null,"apc_paid":null,"fwci":2.9841,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.91586146,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"65","issue":"1","first_page":"135","last_page":"155"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9986000061035156,"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":0.9986000061035156,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9977999925613403,"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":0.9886999726295471,"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/finitary","display_name":"Finitary","score":0.9989738464355469},{"id":"https://openalex.org/keywords/coalgebra","display_name":"Coalgebra","score":0.8664721250534058},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.6813695430755615},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.6776431798934937},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.655727744102478},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.6186280846595764},{"id":"https://openalex.org/keywords/modal-operator","display_name":"Modal operator","score":0.5863405466079712},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5354637503623962},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.49837279319763184},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4748142957687378},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.44439759850502014},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.44191479682922363}],"concepts":[{"id":"https://openalex.org/C2778003309","wikidata":"https://www.wikidata.org/wiki/Q5450381","display_name":"Finitary","level":2,"score":0.9989738464355469},{"id":"https://openalex.org/C2778249326","wikidata":"https://www.wikidata.org/wiki/Q1777803","display_name":"Coalgebra","level":3,"score":0.8664721250534058},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6813695430755615},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.6776431798934937},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.655727744102478},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6186280846595764},{"id":"https://openalex.org/C78344899","wikidata":"https://www.wikidata.org/wiki/Q638442","display_name":"Modal operator","level":4,"score":0.5863405466079712},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5354637503623962},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.49837279319763184},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4748142957687378},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.44439759850502014},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44191479682922363},{"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":4,"locations":[{"id":"doi:10.1016/s1571-0661(04)80363-3","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80363-3","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.chapman.edu:engineering_articles-1030","is_oa":true,"landing_page_url":"https://digitalcommons.chapman.edu/engineering_articles/31","pdf_url":"https://digitalcommons.chapman.edu/engineering_articles/31","source":{"id":"https://openalex.org/S4377196324","display_name":"Chapman University Digital Commons (Chapman University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I185071736","host_organization_name":"Chapman University","host_organization_lineage":["https://openalex.org/I185071736"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Engineering Faculty Articles and Research","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.156.9780","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.156.9780","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.doc.ic.ac.uk/~dirk/Publications/cmcs2002.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.19.7402","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.19.7402","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.pst.informatik.uni-muenchen.de/~pattinso/Publications/cmcs2002.ps.gz","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(04)80363-3","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80363-3","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W45032386","https://openalex.org/W1497616999","https://openalex.org/W1541645275","https://openalex.org/W2046125711","https://openalex.org/W2052264475","https://openalex.org/W2056138173","https://openalex.org/W2057895129","https://openalex.org/W2081620669","https://openalex.org/W2082558313","https://openalex.org/W2088189323","https://openalex.org/W2088378600","https://openalex.org/W2126382654","https://openalex.org/W2154547008","https://openalex.org/W2158921667","https://openalex.org/W2159753366","https://openalex.org/W2587256088","https://openalex.org/W2610670723","https://openalex.org/W4213277014","https://openalex.org/W6663615941"],"related_works":["https://openalex.org/W2403545718","https://openalex.org/W1542706591","https://openalex.org/W2017288906","https://openalex.org/W1521977880","https://openalex.org/W2534562289","https://openalex.org/W4318188140","https://openalex.org/W4233254255","https://openalex.org/W2167981859","https://openalex.org/W1980172029","https://openalex.org/W3189472968"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"coalgebras":[3,36],"from":[4],"the":[5,8,20,57,63,74,81,85],"perspective":[6],"of":[7,15,24,35,65,84],"finitary":[9,25,28,40,51,82],"observations":[10],"that":[11,56],"can":[12],"be":[13],"made":[14],"their":[16],"behaviours.":[17],"Based":[18],"on":[19,77],"terminal":[21,86],"sequence,":[22],"notions":[23],"behaviours":[26,41],"and":[27,48,72],"predicates":[29],"are":[30],"introduced.":[31],"A":[32],"category":[33],"Beh\u03c9(T)":[34,61],"with":[37],"morphisms":[38],"preserving":[39],"is":[42],"defined.":[43],"We":[44],"then":[45],"investigate":[46],"definability":[47],"compactness":[49],"for":[50],"coalgebraic":[52],"modal":[53,70],"logic,":[54,71],"show":[55],"final":[58],"object":[59],"in":[60,69],"generalises":[62],"notion":[64],"a":[66,78],"canonical":[67],"model":[68],"study":[73],"topology":[75],"induced":[76],"coalgebra":[79],"by":[80],"part":[83],"sequence.":[87]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}