{"id":"https://openalex.org/W2004318671","doi":"https://doi.org/10.2168/lmcs-8(3:14)2012","title":"Strongly Complete Logics for Coalgebras","display_name":"Strongly Complete Logics for Coalgebras","publication_year":2012,"publication_date":"2012-09-12","ids":{"openalex":"https://openalex.org/W2004318671","doi":"https://doi.org/10.2168/lmcs-8(3:14)2012","mag":"2004318671"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-8(3:14)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:14)2012","pdf_url":"https://lmcs.episciences.org/1231/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/1231/pdf","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/I153648349","display_name":"University of Leicester","ror":"https://ror.org/04h699437","country_code":"GB","type":"education","lineage":["https://openalex.org/I153648349"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Alexander Kurz","raw_affiliation_strings":["University of Leicester, UK","University of Leicester"],"raw_orcid":"https://orcid.org/0000-0002-8685-5207","affiliations":[{"raw_affiliation_string":"University of Leicester, UK","institution_ids":["https://openalex.org/I153648349"]},{"raw_affiliation_string":"University of Leicester","institution_ids":["https://openalex.org/I153648349"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047280775","display_name":"Jir\u0306\u0131\u0301 Rosick\u00fd","orcid":"https://orcid.org/0000-0002-9733-1222"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jiri Rosicky","raw_affiliation_strings":["(Masaryk University, Brno, Czech Republic)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"(Masaryk University, Brno, Czech Republic)","institution_ids":["https://openalex.org/I21449261"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057868877"],"corresponding_institution_ids":["https://openalex.org/I153648349"],"apc_list":null,"apc_paid":null,"fwci":5.3061,"has_fulltext":true,"cited_by_count":32,"citation_normalized_percentile":{"value":0.95344383,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"Volume 8, Issue 3","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9983999729156494,"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":0.9983999729156494,"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":0.996999979019165,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/finitary","display_name":"Finitary","score":0.9650343060493469},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.9208579063415527},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7972614765167236},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.516477108001709},{"id":"https://openalex.org/keywords/derived-functor","display_name":"Derived functor","score":0.440920352935791},{"id":"https://openalex.org/keywords/coalgebra","display_name":"Coalgebra","score":0.4283812344074249},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3947467803955078},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3863324224948883}],"concepts":[{"id":"https://openalex.org/C2778003309","wikidata":"https://www.wikidata.org/wiki/Q5450381","display_name":"Finitary","level":2,"score":0.9650343060493469},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.9208579063415527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7972614765167236},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.516477108001709},{"id":"https://openalex.org/C6778880","wikidata":"https://www.wikidata.org/wiki/Q320245","display_name":"Derived functor","level":3,"score":0.440920352935791},{"id":"https://openalex.org/C2778249326","wikidata":"https://www.wikidata.org/wiki/Q1777803","display_name":"Coalgebra","level":3,"score":0.4283812344074249},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3947467803955078},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3863324224948883}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.2168/lmcs-8(3:14)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:14)2012","pdf_url":"https://lmcs.episciences.org/1231/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1207.2732","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1207.2732","pdf_url":"https://arxiv.org/pdf/1207.2732","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"pmh:oai:digitalcommons.chapman.edu:engineering_articles-1006","is_oa":true,"landing_page_url":"https://digitalcommons.chapman.edu/engineering_articles/7","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Engineering Faculty Articles and Research","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.584.1538","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.584.1538","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.le.ac.uk/people/akurz/Papers/KR/strcompl.pdf","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:5bc4fd0194154db08200605fd8a8a35b","is_oa":true,"landing_page_url":"https://doaj.org/article/5bc4fd0194154db08200605fd8a8a35b","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 8, Issue 3 (2012)","raw_type":"article"},{"id":"pmh:oai:figshare.com:article/10161602","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Strongly_complete_logics_for_coalgebras/10161602","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"","raw_type":"Text"},{"id":"pmh:oai:lra.le.ac.uk:2381/28587","is_oa":true,"landing_page_url":"http://www.lmcs-online.org/ojs/viewarticle.php?id=199","pdf_url":null,"source":{"id":"https://openalex.org/S4306402365","display_name":"Leicester Research Archive (University of Leicester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I153648349","host_organization_name":"University of Leicester","host_organization_lineage":["https://openalex.org/I153648349"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-8(3:14)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:14)2012","pdf_url":"https://lmcs.episciences.org/1231/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4423884396","display_name":null,"funder_award_id":"EP/C014014/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320319997","display_name":"Nuffield Foundation","ror":"https://ror.org/0281jqk77"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2004318671.pdf","grobid_xml":"https://content.openalex.org/works/W2004318671.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W56533895","https://openalex.org/W602280613","https://openalex.org/W636279620","https://openalex.org/W1510082095","https://openalex.org/W1525860295","https://openalex.org/W1542706591","https://openalex.org/W1543688617","https://openalex.org/W1548663088","https://openalex.org/W1561011284","https://openalex.org/W1568599313","https://openalex.org/W1570796240","https://openalex.org/W1592261745","https://openalex.org/W1595870841","https://openalex.org/W1644725875","https://openalex.org/W1667202395","https://openalex.org/W1721572253","https://openalex.org/W1907364945","https://openalex.org/W1982431152","https://openalex.org/W1992205482","https://openalex.org/W2003770962","https://openalex.org/W2006953755","https://openalex.org/W2015632512","https://openalex.org/W2017096836","https://openalex.org/W2022263458","https://openalex.org/W2042266169","https://openalex.org/W2046750700","https://openalex.org/W2056138173","https://openalex.org/W2088189323","https://openalex.org/W2088378600","https://openalex.org/W2094947480","https://openalex.org/W2105683431","https://openalex.org/W2106283957","https://openalex.org/W2107674601","https://openalex.org/W2113584086","https://openalex.org/W2120529054","https://openalex.org/W2135557157","https://openalex.org/W2139772363","https://openalex.org/W2140570142","https://openalex.org/W2142018979","https://openalex.org/W2143682387","https://openalex.org/W2154547008","https://openalex.org/W2158921667","https://openalex.org/W2163553661","https://openalex.org/W2167981859","https://openalex.org/W2315064349","https://openalex.org/W2603504987","https://openalex.org/W2610670723","https://openalex.org/W2912848864","https://openalex.org/W2914212232","https://openalex.org/W2963969921","https://openalex.org/W3104252790","https://openalex.org/W3112724061","https://openalex.org/W3189472968","https://openalex.org/W4394650213"],"related_works":["https://openalex.org/W1542706591","https://openalex.org/W2107846795","https://openalex.org/W2951018571","https://openalex.org/W2033279263","https://openalex.org/W2071463650","https://openalex.org/W2150565919","https://openalex.org/W2093450770","https://openalex.org/W2303187054","https://openalex.org/W2042266169","https://openalex.org/W2004318671"],"abstract_inverted_index":{"Coalgebras":[0],"for":[1,24,103,124],"a":[2,11,18,29,33,77,88,125,158,180],"functor":[3,78,105,126,165],"model":[4],"different":[5],"types":[6],"of":[7,21,32,98,101,112,117,133,140],"transition":[8],"systems":[9],"in":[10,52],"uniform":[12,19],"way.":[13],"This":[14],"paper":[15],"focuses":[16],"on":[17,137,152,168,183],"account":[20],"finitary":[22,89,159],"logics":[23],"set-based":[25],"coalgebras.":[26],"In":[27],"particular,":[28],"general":[30],"construction":[31],"logic":[34,160,174],"from":[35,109],"an":[36],"arbitrary":[37],"set-functor":[38],"is":[39,106],"given":[40],"and":[41,83,93,116,129,135],"proven":[42],"to":[43,145,156,161,175],"be":[44,176],"strongly":[45,177],"complete":[46,178],"under":[47,179],"additional":[48],"assumptions.":[49],"We":[50],"proceed":[51],"three":[53],"parts.":[54],"Part":[55,120,148,153,169],"I":[56],"argues":[57],"that":[58,66,76],"sifted":[59,80],"colimit":[60],"preserving":[61,164],"functors":[62,65],"are":[63],"those":[64],"preserve":[67],"universal":[68],"algebraic":[69],"structure.":[70],"Our":[71],"main":[72],"theorem":[73,132],"here":[74],"states":[75],"preserves":[79],"colimits":[81],"if":[82,85],"only":[84],"it":[86],"has":[87],"presentation":[90,97],"by":[91],"operations":[92],"equations.":[94],"Moreover,":[95],"the":[96,99,104,110,113,118,131,173],"category":[100,115],"algebras":[102,123,142],"obtained":[107],"compositionally":[108],"presentations":[111],"underlying":[114],"functor.":[119],"II":[121,170],"investigates":[122],"over":[127],"ind-completions":[128],"extends":[130],"J{\\'o}nsson":[134],"Tarski":[136],"canonical":[138],"extensions":[139],"Boolean":[141],"with":[143],"operators":[144],"this":[146],"setting.":[147],"III":[149],"shows,":[150],"based":[151],"I,":[154],"how":[155],"associate":[157],"any":[162],"finite-sets":[163],"T.":[166,184],"Based":[167],"we":[171],"prove":[172],"reasonable":[181],"condition":[182]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}