{"id":"https://openalex.org/W2094617595","doi":"https://doi.org/10.1007/s11225-004-6044-z","title":"All Normal Extensions of S5-squared Are Finitely Axiomatizable","display_name":"All Normal Extensions of S5-squared Are Finitely Axiomatizable","publication_year":2004,"publication_date":"2004-12-01","ids":{"openalex":"https://openalex.org/W2094617595","doi":"https://doi.org/10.1007/s11225-004-6044-z","mag":"2094617595"},"language":"en","primary_location":{"id":"doi:10.1007/s11225-004-6044-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11225-004-6044-z","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","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/A5045687469","display_name":"Nick Bezhanishvili","orcid":"https://orcid.org/0009-0005-6692-5051"},"institutions":[{"id":"https://openalex.org/I13089092","display_name":"Amsterdam University College","ror":"https://ror.org/03dpjfc73","country_code":"NL","type":"education","lineage":["https://openalex.org/I13089092"]},{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Nick Bezhanishvili","raw_affiliation_strings":["ILLC, University of Amsterdam, Plantage Muidergracht 24 1018, TV Amsterdam, The Netherlands","ILLC, University of Amsterdam, TV Amsterdam, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ILLC, University of Amsterdam, Plantage Muidergracht 24 1018, TV Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I13089092","https://openalex.org/I887064364"]},{"raw_affiliation_string":"ILLC, University of Amsterdam, TV Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I887064364"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024547037","display_name":"Ian Hodkinson","orcid":"https://orcid.org/0000-0003-3650-1942"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ian Hodkinson","raw_affiliation_strings":["Department of Computing, Imperial College London, South Kensington Campus, London, SW7 2AZ, UK","Department of Computing; Imperial College London; London UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, South Kensington Campus, London, SW7 2AZ, UK","institution_ids":["https://openalex.org/I47508984"]},{"raw_affiliation_string":"Department of Computing; Imperial College London; London UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045687469"],"corresponding_institution_ids":["https://openalex.org/I13089092","https://openalex.org/I887064364"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.2376,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.92287542,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"78","issue":"3","first_page":"443","last_page":"457"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9993000030517578,"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":0.9980000257492065,"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/extension","display_name":"Extension (predicate logic)","score":0.8383768200874329},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7382664680480957},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.588123083114624},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.5837556719779968},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.47287413477897644},{"id":"https://openalex.org/keywords/computational-linguistics","display_name":"Computational linguistics","score":0.4251040816307068},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3956136405467987},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.38768965005874634},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3719380497932434},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3510025143623352},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3481002449989319},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.15940847992897034},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15492695569992065},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.09474799036979675}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.8383768200874329},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7382664680480957},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.588123083114624},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.5837556719779968},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.47287413477897644},{"id":"https://openalex.org/C155092808","wikidata":"https://www.wikidata.org/wiki/Q182557","display_name":"Computational linguistics","level":2,"score":0.4251040816307068},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3956136405467987},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.38768965005874634},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3719380497932434},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3510025143623352},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3481002449989319},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.15940847992897034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15492695569992065},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09474799036979675},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11225-004-6044-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11225-004-6044-z","pdf_url":null,"source":{"id":"https://openalex.org/S30880287","display_name":"Studia Logica","issn_l":"0039-3215","issn":["0039-3215","1572-8730"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studia Logica","raw_type":"journal-article"},{"id":"pmh:oai:dare.uva.nl:publications/037ebce6-edc6-4552-9ab3-9cb7d395b041","is_oa":false,"landing_page_url":"http://dare.uva.nl/personal/pure/en/publications/all-normal-extensions-of-s5squared-are-finitely-axiomatizable(037ebce6-edc6-4552-9ab3-9cb7d395b041).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:lra.le.ac.uk:2381/1807","is_oa":false,"landing_page_url":"http://hdl.handle.net/2381/1807","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1485990531","https://openalex.org/W1584589847","https://openalex.org/W1966911791","https://openalex.org/W2041409900","https://openalex.org/W2076508310","https://openalex.org/W2077075340","https://openalex.org/W2120303764","https://openalex.org/W2124580444","https://openalex.org/W2134705851","https://openalex.org/W2610670723","https://openalex.org/W4211144022"],"related_works":["https://openalex.org/W4318188140","https://openalex.org/W2101793126","https://openalex.org/W3016746667","https://openalex.org/W1537541219","https://openalex.org/W1530784265","https://openalex.org/W1587059467","https://openalex.org/W2795425183","https://openalex.org/W119381390","https://openalex.org/W2028144918","https://openalex.org/W2039834595"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}