{"id":"https://openalex.org/W2085869400","doi":"https://doi.org/10.1090/s0002-9947-1955-0070594-4","title":"Arithmetical Predicates and Function Quantifiers","display_name":"Arithmetical Predicates and Function Quantifiers","publication_year":1955,"publication_date":"1955-01-01","ids":{"openalex":"https://openalex.org/W2085869400","doi":"https://doi.org/10.1090/s0002-9947-1955-0070594-4","mag":"2085869400"},"language":"en","primary_location":{"id":"doi:10.1090/s0002-9947-1955-0070594-4","doi":"https://doi.org/10.1090/s0002-9947-1955-0070594-4","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0002-9947-1955-0070594-4","pdf_url":"https://www.ams.org/tran/1955-079-02/S0002-9947-1955-0070594-4/S0002-9947-1955-0070594-4.pdf","source":{"id":"https://openalex.org/S60030702","display_name":"Transactions of the American Mathematical Society","issn_l":"0002-9947","issn":["0002-9947","1088-6850"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the American Mathematical Society","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/tran/1955-079-02/S0002-9947-1955-0070594-4/S0002-9947-1955-0070594-4.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109923902","display_name":"S. C. Kleene","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"S. C. Kleene","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5109923902"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":12.1316,"has_fulltext":true,"cited_by_count":162,"citation_normalized_percentile":{"value":0.98384201,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"79","issue":"2","first_page":"312","last_page":"312"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.8827999830245972,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.8827999830245972,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.09059999883174896,"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":0.004000000189989805,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/first-order-arithmetic","display_name":"first-order arithmetic","score":0.5910000205039978},{"id":"https://openalex.org/keywords/quantifier-elimination","display_name":"quantifier elimination","score":0.4059999883174896},{"id":"https://openalex.org/keywords/models-of-arithmetic","display_name":"models of arithmetic","score":0.5630000233650208}],"concepts":[{"id":"https://openalex.org/C112343008","wikidata":"https://www.wikidata.org/wiki/Q140744","display_name":"Arithmetic function","level":2,"score":0.9569277167320251},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9098142385482788},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4890213906764984},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.45553991198539734},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.42842161655426025},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39995262026786804},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3261373043060303},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/s0002-9947-1955-0070594-4","doi":"https://doi.org/10.1090/s0002-9947-1955-0070594-4","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0002-9947-1955-0070594-4","pdf_url":"https://www.ams.org/tran/1955-079-02/S0002-9947-1955-0070594-4/S0002-9947-1955-0070594-4.pdf","source":{"id":"https://openalex.org/S60030702","display_name":"Transactions of the American Mathematical Society","issn_l":"0002-9947","issn":["0002-9947","1088-6850"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the American Mathematical Society","raw_type":"journal-article"},{"id":"doi:10.2307/1993033","doi":"https://doi.org/10.2307/1993033","is_oa":false,"landing_page_url":"https://doi.org/10.2307/1993033","pdf_url":null,"source":{"id":"https://openalex.org/S60030702","display_name":"Transactions of the American Mathematical Society","issn_l":"0002-9947","issn":["0002-9947","1088-6850"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the American Mathematical Society","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1090/s0002-9947-1955-0070594-4","doi":"https://doi.org/10.1090/s0002-9947-1955-0070594-4","is_oa":true,"landing_page_url":"https://doi.org/10.1090/s0002-9947-1955-0070594-4","pdf_url":"https://www.ams.org/tran/1955-079-02/S0002-9947-1955-0070594-4/S0002-9947-1955-0070594-4.pdf","source":{"id":"https://openalex.org/S60030702","display_name":"Transactions of the American Mathematical Society","issn_l":"0002-9947","issn":["0002-9947","1088-6850"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the American Mathematical Society","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320308774","display_name":"John Simon Guggenheim Memorial Foundation","ror":"https://ror.org/0407tnq23"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2085869400.pdf","grobid_xml":"https://content.openalex.org/works/W2085869400.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1483568252","https://openalex.org/W1967629533","https://openalex.org/W1969820564","https://openalex.org/W1996932891","https://openalex.org/W1999737391","https://openalex.org/W2001897405","https://openalex.org/W2036869460","https://openalex.org/W2042499838","https://openalex.org/W2043827435","https://openalex.org/W2045033949","https://openalex.org/W2070909821","https://openalex.org/W2087100744","https://openalex.org/W2087443598","https://openalex.org/W2090143005","https://openalex.org/W2155087643","https://openalex.org/W2209400336","https://openalex.org/W2315610131","https://openalex.org/W2320296823","https://openalex.org/W2320642324","https://openalex.org/W2323803659","https://openalex.org/W2327051985","https://openalex.org/W4206658284","https://openalex.org/W4239495391","https://openalex.org/W4240853462","https://openalex.org/W4256123043"],"related_works":["https://openalex.org/W2316962931","https://openalex.org/W2476975402","https://openalex.org/W2331790668","https://openalex.org/W4234930915","https://openalex.org/W1993857645","https://openalex.org/W2017412319","https://openalex.org/W2054397026","https://openalex.org/W4229611399","https://openalex.org/W4252739979","https://openalex.org/W4232108979"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":15},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2016-06-24T00:00:00"}