{"id":"https://openalex.org/W2122160895","doi":"https://doi.org/10.2307/2275782","title":"Some elementary results in intuitionistic model theory","display_name":"Some elementary results in intuitionistic model theory","publication_year":1996,"publication_date":"1996-09-01","ids":{"openalex":"https://openalex.org/W2122160895","doi":"https://doi.org/10.2307/2275782","mag":"2122160895"},"language":"en","primary_location":{"id":"doi:10.2307/2275782","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2275782","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2066/28723","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084987525","display_name":"Wim Veldman","orcid":"https://orcid.org/0000-0001-7728-6359"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Wim Veldman","raw_affiliation_strings":["Mathematisch Instituut, Katholieke Universiteit, 6525 ED Nijmegen, The Netherlands, E-mail:","Mathematisch Instituut, Katholieke Universiteit, 6525 ED Nijmegen, The Netherlands, E-mail: veldman@sci.kun.nl"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisch Instituut, Katholieke Universiteit, 6525 ED Nijmegen, The Netherlands, E-mail:","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"Mathematisch Instituut, Katholieke Universiteit, 6525 ED Nijmegen, The Netherlands, E-mail: veldman@sci.kun.nl","institution_ids":["https://openalex.org/I145872427"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047303774","display_name":"Frank Waaldijk","orcid":null},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Frank Waaldijk","raw_affiliation_strings":["Mathematisch Instituut, Katholieke Universiteit, 6525 ED Nijmegen, The Netherlands, E-mail:","Mathematisch Instituut, Katholieke Universiteit, 6525 ED Nijmegen, The Netherlands, E-mail: waaldijk@sci.kun.nl"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisch Instituut, Katholieke Universiteit, 6525 ED Nijmegen, The Netherlands, E-mail:","institution_ids":["https://openalex.org/I145872427"]},{"raw_affiliation_string":"Mathematisch Instituut, Katholieke Universiteit, 6525 ED Nijmegen, The Netherlands, E-mail: waaldijk@sci.kun.nl","institution_ids":["https://openalex.org/I145872427"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I145872427"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.23961247,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"61","issue":"3","first_page":"745","last_page":"767"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9955000281333923,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9955000281333923,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9241999983787537,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9211000204086304,"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/constructive","display_name":"Constructive","score":0.7300185561180115},{"id":"https://openalex.org/keywords/elementary-theory","display_name":"Elementary theory","score":0.6253462433815002},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.6169143915176392},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6105697751045227},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5345373153686523},{"id":"https://openalex.org/keywords/real-number","display_name":"Real number","score":0.48505181074142456},{"id":"https://openalex.org/keywords/group-theory","display_name":"Group theory","score":0.44683271646499634},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4339570999145508},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.29458943009376526},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.243473082780838},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.08626267313957214},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.048738300800323486},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.04240155220031738}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.7300185561180115},{"id":"https://openalex.org/C2779851814","wikidata":"https://www.wikidata.org/wiki/Q5358916","display_name":"Elementary theory","level":2,"score":0.6253462433815002},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6169143915176392},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6105697751045227},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5345373153686523},{"id":"https://openalex.org/C94020503","wikidata":"https://www.wikidata.org/wiki/Q12916","display_name":"Real number","level":2,"score":0.48505181074142456},{"id":"https://openalex.org/C81651864","wikidata":"https://www.wikidata.org/wiki/Q874429","display_name":"Group theory","level":2,"score":0.44683271646499634},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4339570999145508},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29458943009376526},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.243473082780838},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.08626267313957214},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.048738300800323486},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.04240155220031738},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2275782","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2275782","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/28723","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/28723","pdf_url":"http://hdl.handle.net/2066/28723","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Symbolic Logic, 61, 745 - 767. Assn symbolic logic inc","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:ru:oai:repository.ubn.ru.nl:2066/28723","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/28723","pdf_url":"http://hdl.handle.net/2066/28723","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Symbolic Logic, 61, 745 - 767. Assn symbolic logic inc","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2122160895.pdf","grobid_xml":"https://content.openalex.org/works/W2122160895.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1026721552","https://openalex.org/W1491813684","https://openalex.org/W1525431708","https://openalex.org/W1988522510","https://openalex.org/W2059204568","https://openalex.org/W2095702532","https://openalex.org/W4229738979"],"related_works":["https://openalex.org/W2221617065","https://openalex.org/W2031374456","https://openalex.org/W32248527","https://openalex.org/W2383752170","https://openalex.org/W598937593","https://openalex.org/W2086533459","https://openalex.org/W1516600202","https://openalex.org/W2494462706","https://openalex.org/W2797224120","https://openalex.org/W4237984490"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"establish":[2],"constructive":[3],"refinements":[4],"of":[5,16,28,30],"several":[6],"well-known":[7],"theorems":[8],"in":[9],"elementary":[10],"model":[11],"theory.":[12],"The":[13],"additive":[14,26],"group":[15,27],"the":[17,25],"real":[18,31],"numbers":[19],"may":[20],"be":[21],"embedded":[22],"elementarily":[23],"into":[24],"pairs":[29],"numbers,":[32],"constructively":[33],"as":[34,36],"well":[35],"classically.":[37]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}