{"id":"https://openalex.org/W2854265396","doi":"https://doi.org/10.1002/malq.201700004","title":"A note on decidability of variables in intuitionistic propositional logic","display_name":"A note on decidability of variables in intuitionistic propositional logic","publication_year":2018,"publication_date":"2018-07-01","ids":{"openalex":"https://openalex.org/W2854265396","doi":"https://doi.org/10.1002/malq.201700004","mag":"2854265396"},"language":"en","primary_location":{"id":"doi:10.1002/malq.201700004","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201700004","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5076394068","display_name":"Katsumasa Ishii","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Katsumasa Ishii","raw_affiliation_strings":["6\u20103\u2010201, Miyasaka 2\u2010chome, Setagaya\u2010ku Tokyo 156\u20100051 Japan","6-3-201, Miyasaka 2-chome, Setagaya-ku, Tokyo, 156-0051 Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"6\u20103\u2010201, Miyasaka 2\u2010chome, Setagaya\u2010ku Tokyo 156\u20100051 Japan","institution_ids":[]},{"raw_affiliation_string":"6-3-201, Miyasaka 2-chome, Setagaya-ku, Tokyo, 156-0051 Japan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5076394068"],"corresponding_institution_ids":[],"apc_list":{"value":2900,"currency":"USD","value_usd":2900},"apc_paid":null,"fwci":0.1853,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63810287,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"64","issue":"3","first_page":"183","last_page":"184"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9944999814033508,"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":0.9944999814033508,"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":0.954800009727478,"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/T10258","display_name":"Philosophy and Theoretical Science","score":0.9334999918937683,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.8529555797576904},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7329938411712646},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.721194326877594},{"id":"https://openalex.org/keywords/well-formed-formula","display_name":"Well-formed formula","score":0.680711567401886},{"id":"https://openalex.org/keywords/zeroth-order-logic","display_name":"Zeroth-order logic","score":0.6698393821716309},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.6049216389656067},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.519943118095398},{"id":"https://openalex.org/keywords/autoepistemic-logic","display_name":"Autoepistemic logic","score":0.4898695647716522},{"id":"https://openalex.org/keywords/propositional-formula","display_name":"Propositional formula","score":0.4839766025543213},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42167460918426514},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40964993834495544},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.38083428144454956},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32934728264808655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16440007090568542},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09908068180084229},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06950688362121582},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.05747273564338684}],"concepts":[{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.8529555797576904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7329938411712646},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.721194326877594},{"id":"https://openalex.org/C191222856","wikidata":"https://www.wikidata.org/wiki/Q655328","display_name":"Well-formed formula","level":5,"score":0.680711567401886},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.6698393821716309},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.6049216389656067},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.519943118095398},{"id":"https://openalex.org/C3845977","wikidata":"https://www.wikidata.org/wiki/Q4826262","display_name":"Autoepistemic logic","level":4,"score":0.4898695647716522},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.4839766025543213},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42167460918426514},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40964993834495544},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.38083428144454956},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32934728264808655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16440007090568542},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09908068180084229},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06950688362121582},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.05747273564338684},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"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":1,"locations":[{"id":"doi:10.1002/malq.201700004","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201700004","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5299999713897705,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1528233644","https://openalex.org/W2081976468","https://openalex.org/W3104065920","https://openalex.org/W3106117649"],"related_works":["https://openalex.org/W2081976468","https://openalex.org/W4251854500","https://openalex.org/W3137333128","https://openalex.org/W2441642482","https://openalex.org/W1986625420","https://openalex.org/W2285760602","https://openalex.org/W3200682096","https://openalex.org/W849070015","https://openalex.org/W4253001830","https://openalex.org/W2350792405"],"abstract_inverted_index":{"Abstract":[0],"An":[1],"answer":[2,41],"to":[3,27,32,36],"the":[4,30],"following":[5],"question":[6],"is":[7,42],"presented:":[8],"given":[9],"a":[10],"proof":[11],"in":[12,34],"classical":[13],"propositional":[14,21],"logic,":[15],"for":[16,48],"what":[17],"small":[18],"set":[19],"of":[20,45],"variables":[22],"p":[23],"does":[24],"it":[25],"suffice":[26],"add":[28],"all":[29],"formulae":[31],"\u0393":[33],"order":[35],"intuitionistically":[37],"prove":[38],"A?":[39],"This":[40],"an":[43],"improvement":[44],"Ishihara's":[46],"result":[47],"some":[49],"cases.":[50]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}