{"id":"https://openalex.org/W1964913565","doi":"https://doi.org/10.1016/0003-4843(82)90003-1","title":"Recursive models for constructive set theories","display_name":"Recursive models for constructive set theories","publication_year":1982,"publication_date":"1982-12-01","ids":{"openalex":"https://openalex.org/W1964913565","doi":"https://doi.org/10.1016/0003-4843(82)90003-1","mag":"1964913565"},"language":"en","primary_location":{"id":"doi:10.1016/0003-4843(82)90003-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0003-4843(82)90003-1","pdf_url":null,"source":{"id":"https://openalex.org/S79679061","display_name":"Annals of Mathematical Logic","issn_l":"0003-4843","issn":["0003-4843","1878-3767"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematical Logic","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/A5034098863","display_name":"Michael Beeson","orcid":"https://orcid.org/0000-0001-9259-1220"},"institutions":[{"id":"https://openalex.org/I51504820","display_name":"San Jose State University","ror":"https://ror.org/04qyvz380","country_code":"US","type":"education","lineage":["https://openalex.org/I51504820"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M. Beeson","raw_affiliation_strings":["Department of Mathematics and Computer Science, San Jose State University, San Jose, CA 95192, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, San Jose State University, San Jose, CA 95192, U.S.A","institution_ids":["https://openalex.org/I51504820"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034098863"],"corresponding_institution_ids":["https://openalex.org/I51504820"],"apc_list":null,"apc_paid":null,"fwci":6.8783,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.96008715,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"23","issue":"2-3","first_page":"127","last_page":"178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9801999926567078,"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":0.9801999926567078,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9466000199317932,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9362000226974487,"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/realizability","display_name":"Realizability","score":0.8933652639389038},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.7548525333404541},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7097235918045044},{"id":"https://openalex.org/keywords/sort","display_name":"sort","score":0.6157130599021912},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.5360569953918457},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5206024646759033},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5084675550460815},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.5021116733551025},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4153309166431427},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41134732961654663},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3862397372722626},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36137908697128296},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.35874414443969727},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.354369580745697},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18500608205795288},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17306673526763916},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.07003819942474365}],"concepts":[{"id":"https://openalex.org/C2776378722","wikidata":"https://www.wikidata.org/wiki/Q3454417","display_name":"Realizability","level":2,"score":0.8933652639389038},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.7548525333404541},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7097235918045044},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.6157130599021912},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.5360569953918457},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5206024646759033},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5084675550460815},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.5021116733551025},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4153309166431427},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41134732961654663},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3862397372722626},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36137908697128296},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35874414443969727},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.354369580745697},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18500608205795288},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17306673526763916},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.07003819942474365},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0003-4843(82)90003-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0003-4843(82)90003-1","pdf_url":null,"source":{"id":"https://openalex.org/S79679061","display_name":"Annals of Mathematical Logic","issn_l":"0003-4843","issn":["0003-4843","1878-3767"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41999998688697815,"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":32,"referenced_works":["https://openalex.org/W50867821","https://openalex.org/W68752262","https://openalex.org/W237194509","https://openalex.org/W1481385900","https://openalex.org/W1483568252","https://openalex.org/W1498439614","https://openalex.org/W1498926208","https://openalex.org/W1525431708","https://openalex.org/W1608607427","https://openalex.org/W1763978647","https://openalex.org/W1986581424","https://openalex.org/W2024315465","https://openalex.org/W2031991367","https://openalex.org/W2032673399","https://openalex.org/W2066311424","https://openalex.org/W2067914884","https://openalex.org/W2092169546","https://openalex.org/W2106718208","https://openalex.org/W2127553594","https://openalex.org/W2151520617","https://openalex.org/W3046397786","https://openalex.org/W4235576671","https://openalex.org/W4239903280","https://openalex.org/W6602100911","https://openalex.org/W6602760947","https://openalex.org/W6605120518","https://openalex.org/W6628577533","https://openalex.org/W6629760235","https://openalex.org/W6629898773","https://openalex.org/W6637850932","https://openalex.org/W6646917368","https://openalex.org/W6687760337"],"related_works":["https://openalex.org/W2284538163","https://openalex.org/W1517286423","https://openalex.org/W2118238767","https://openalex.org/W2050231875","https://openalex.org/W4310884752","https://openalex.org/W2054943622","https://openalex.org/W2014358890","https://openalex.org/W2810870528","https://openalex.org/W2050206353","https://openalex.org/W2260413180"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
