{"id":"https://openalex.org/W2052417268","doi":"https://doi.org/10.1215/00294527-2864334","title":"Halld\u00e9n Completeness for Relevant Modal Logics","display_name":"Halld\u00e9n Completeness for Relevant Modal Logics","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2052417268","doi":"https://doi.org/10.1215/00294527-2864334","mag":"2052417268"},"language":"en","primary_location":{"id":"doi:10.1215/00294527-2864334","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2864334","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-56/issue-2/Halld%c3%a9n-Completeness-for-Relevant-Modal-Logics/10.1215/00294527-2864334.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-56/issue-2/Halld%c3%a9n-Completeness-for-Relevant-Modal-Logics/10.1215/00294527-2864334.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101790535","display_name":"Takahiro Seki","orcid":"https://orcid.org/0000-0003-3010-2641"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Takahiro Seki","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101790535"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8629,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82184421,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"56","issue":"2","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":0.9912999868392944,"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":0.9912999868392944,"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":0.9768999814987183,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9466000199317932,"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/completeness","display_name":"Completeness (order theory)","score":0.8179011344909668},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.6748061776161194},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.45691993832588196},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40498948097229004},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3829280734062195},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.12387964129447937},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06816872954368591},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.044581979513168335}],"concepts":[{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.8179011344909668},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6748061776161194},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.45691993832588196},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40498948097229004},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3829280734062195},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.12387964129447937},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06816872954368591},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.044581979513168335},{"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1215/00294527-2864334","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2864334","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-56/issue-2/Halld%c3%a9n-Completeness-for-Relevant-Modal-Logics/10.1215/00294527-2864334.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1429277355","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1429277355","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1215/00294527-2864334","is_oa":true,"landing_page_url":"https://doi.org/10.1215/00294527-2864334","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-56/issue-2/Halld%c3%a9n-Completeness-for-Relevant-Modal-Logics/10.1215/00294527-2864334.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2052417268.pdf","grobid_xml":"https://content.openalex.org/works/W2052417268.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W187153894","https://openalex.org/W773312807","https://openalex.org/W1524462322","https://openalex.org/W1596067335","https://openalex.org/W1971889207","https://openalex.org/W2082707306","https://openalex.org/W2087078176","https://openalex.org/W2107737957","https://openalex.org/W4242309855","https://openalex.org/W4252137238"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596"],"abstract_inverted_index":{"Halld\u00e9n":[0,9,28,55],"completeness":[1,10,29,56],"closely":[2],"resembles":[3],"the":[4,16,27,37,54],"relevance":[5],"property.":[6],"To":[7],"prove":[8],"in":[11],"terms":[12],"of":[13,30,46,57,61],"Kripke-style":[14],"semantics,":[15],"van":[17,38],"Benthem\u2013Humberstone":[18,39],"theorem":[19],"is":[20],"often":[21],"used.":[22],"In":[23],"relevant":[24,48,62],"modal":[25,49,63],"logics,":[26,64],"Meyer\u2013Fuhrmann":[31],"logics":[32],"has":[33],"been":[34],"obtained":[35],"using":[36],"theorem.":[40],"However,":[41],"there":[42],"remain":[43],"a":[44,58],"number":[45],"Halld\u00e9n-incomplete":[47],"logics.":[50],"This":[51],"paper":[52],"discusses":[53],"wider":[59],"class":[60],"namely,":[65],"those":[66],"with":[67],"some":[68],"Sahlqvist":[69],"axioms.":[70]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}