{"id":"https://openalex.org/W2003644760","doi":"https://doi.org/10.1305/ndjfl/1093887643","title":"A model-theoretic semantics for modal logic.","display_name":"A model-theoretic semantics for modal logic.","publication_year":1976,"publication_date":"1976-07-01","ids":{"openalex":"https://openalex.org/W2003644760","doi":"https://doi.org/10.1305/ndjfl/1093887643","mag":"2003644760"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093887643","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093887643","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-17/issue-3/A-model-theoretic-semantics-for-modal-logic/10.1305/ndjfl/1093887643.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-17/issue-3/A-model-theoretic-semantics-for-modal-logic/10.1305/ndjfl/1093887643.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111888909","display_name":"J.J. Paulos","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"John Paulos","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111888909"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.07651336,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"17","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10215","display_name":"Semantic Web and Ontologies","score":0.9990000128746033,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9990000128746033,"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":0.9919999837875366,"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/T10456","display_name":"Multi-Agent Systems and Negotiation","score":0.9890999794006348,"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/modal","display_name":"Modal","score":0.6315916180610657},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.6218380928039551},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.5954806208610535},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.5631081461906433},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.5014655590057373},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47386670112609863},{"id":"https://openalex.org/keywords/s5","display_name":"S5","score":0.4513593316078186},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.38035452365875244},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33990445733070374},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.17922663688659668},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07501962780952454}],"concepts":[{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6315916180610657},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6218380928039551},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.5954806208610535},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5631081461906433},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.5014655590057373},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47386670112609863},{"id":"https://openalex.org/C192609573","wikidata":"https://www.wikidata.org/wiki/Q7388341","display_name":"S5","level":5,"score":0.4513593316078186},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.38035452365875244},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33990445733070374},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.17922663688659668},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07501962780952454},{"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1093887643","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093887643","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-17/issue-3/A-model-theoretic-semantics-for-modal-logic/10.1305/ndjfl/1093887643.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/1093887643","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093887643","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:10.1305/ndjfl/1093887643","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093887643","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-17/issue-3/A-model-theoretic-semantics-for-modal-logic/10.1305/ndjfl/1093887643.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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2003644760.pdf","grobid_xml":"https://content.openalex.org/works/W2003644760.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W2155581733","https://openalex.org/W6682590233"],"related_works":["https://openalex.org/W2101793126","https://openalex.org/W142011187","https://openalex.org/W3108798275","https://openalex.org/W2795425183","https://openalex.org/W2534562289","https://openalex.org/W1988817063","https://openalex.org/W2028144918","https://openalex.org/W4318188140","https://openalex.org/W2188462059","https://openalex.org/W1530784265"],"abstract_inverted_index":{"This":[0,14],"paper":[1,48],"will":[2,24,32,49],"deal":[3],"with":[4,42,53],"the":[5,19,35],"semantics":[6,15],"of":[7,38],"modal":[8,39,54],"logic":[9,40,55],"in":[10],"a":[11,43],"modeltheoretic":[12],"way.":[13],"is":[16],"clearer":[17],"than":[18],"standard":[20],"accounts":[21],"and":[22,56],"furthermore":[23],"lend":[25],"itself":[26],"to":[27],"further":[28],"development.":[29],"From":[30],"it":[31],"flow":[33],"all":[34],"completeness":[36],"results":[37],"along":[41],"few":[44],"new":[45],"results.":[46],"The":[47],"presuppose":[50],"some":[51],"familiarity":[52],"model":[57],"theory.":[58]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}