{"id":"https://openalex.org/W2919828861","doi":"https://doi.org/10.1007/s00153-020-00753-4","title":"Model completeness and relative decidability","display_name":"Model completeness and relative decidability","publication_year":2021,"publication_date":"2021-01-03","ids":{"openalex":"https://openalex.org/W2919828861","doi":"https://doi.org/10.1007/s00153-020-00753-4","mag":"2919828861"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-020-00753-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-020-00753-4","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1903.00734","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064172996","display_name":"Jennifer Chubb","orcid":"https://orcid.org/0000-0001-5754-6563"},"institutions":[{"id":"https://openalex.org/I76766440","display_name":"University of San Francisco","ror":"https://ror.org/029m7xn54","country_code":"US","type":"education","lineage":["https://openalex.org/I76766440"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jennifer Chubb","raw_affiliation_strings":["Department of Mathematics, University of San Francisco, 2130 Fulton Street, San Francisco, CA, 94117, USA","Department of Mathematics, University of San Francisco, San Francisco, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of San Francisco, 2130 Fulton Street, San Francisco, CA, 94117, USA","institution_ids":["https://openalex.org/I76766440"]},{"raw_affiliation_string":"Department of Mathematics, University of San Francisco, San Francisco, USA","institution_ids":["https://openalex.org/I76766440"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056097245","display_name":"Russell Miller","orcid":"https://orcid.org/0000-0001-5454-6736"},"institutions":[{"id":"https://openalex.org/I111455621","display_name":"Queens College, CUNY","ror":"https://ror.org/03v8adn41","country_code":"US","type":"education","lineage":["https://openalex.org/I111455621"]},{"id":"https://openalex.org/I121847817","display_name":"The Graduate Center, CUNY","ror":"https://ror.org/00awd9g61","country_code":"US","type":"education","lineage":["https://openalex.org/I121847817"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Russell Miller","raw_affiliation_strings":["Department of Mathematics, Queens College \u2013 C.U.N.Y, 65-30 Kissena Blvd, Flushing, NY, 11367, USA","Ph.D. Programs in Mathematics & Computer Science, C.U.N.Y. Graduate Center, 365 Fifth Avenue, New York, NY, 10016, USA","Department of Mathematics, Queens College \u2013 C.U.N.Y, Flushing, USA","Ph.D. Programs in Mathematics & Computer Science, C.U.N.Y. Graduate Center, New York, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Queens College \u2013 C.U.N.Y, 65-30 Kissena Blvd, Flushing, NY, 11367, USA","institution_ids":["https://openalex.org/I111455621"]},{"raw_affiliation_string":"Ph.D. Programs in Mathematics & Computer Science, C.U.N.Y. Graduate Center, 365 Fifth Avenue, New York, NY, 10016, USA","institution_ids":["https://openalex.org/I121847817"]},{"raw_affiliation_string":"Department of Mathematics, Queens College \u2013 C.U.N.Y, Flushing, USA","institution_ids":["https://openalex.org/I111455621"]},{"raw_affiliation_string":"Ph.D. Programs in Mathematics & Computer Science, C.U.N.Y. Graduate Center, New York, USA","institution_ids":["https://openalex.org/I121847817"]}]},{"author_position":"last","author":{"id":null,"display_name":"Reed Solomon","orcid":"https://orcid.org/0000-0001-7574-204X"},"institutions":[{"id":"https://openalex.org/I140172145","display_name":"University of Connecticut","ror":"https://ror.org/02der9h97","country_code":"US","type":"education","lineage":["https://openalex.org/I140172145"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Reed Solomon","raw_affiliation_strings":["Department of Mathematics, University of Connecticut, 341 Mansfield Road U1009, Storrs, CT, 06269-1009, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Connecticut, 341 Mansfield Road U1009, Storrs, CT, 06269-1009, USA","institution_ids":["https://openalex.org/I140172145"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064172996"],"corresponding_institution_ids":["https://openalex.org/I76766440"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00661307,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"60","issue":"6","first_page":"721","last_page":"735"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":1.0,"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":1.0,"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/T11567","display_name":"semigroups and automata theory","score":0.9821000099182129,"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":0.9815000295639038,"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/decidability","display_name":"Decidability","score":0.9027642011642456},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.712914228439331},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.689280092716217},{"id":"https://openalex.org/keywords/model-theory","display_name":"Model theory","score":0.6509848833084106},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.5883284211158752},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5350908041000366},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.53266441822052},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5044056177139282},{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.4514743387699127},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.43411219120025635},{"id":"https://openalex.org/keywords/recursively-enumerable-language","display_name":"Recursively enumerable language","score":0.43372100591659546},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.4308667778968811},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0826302170753479}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.9027642011642456},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.712914228439331},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.689280092716217},{"id":"https://openalex.org/C47030870","wikidata":"https://www.wikidata.org/wiki/Q467606","display_name":"Model theory","level":2,"score":0.6509848833084106},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.5883284211158752},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5350908041000366},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.53266441822052},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5044056177139282},{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.4514743387699127},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.43411219120025635},{"id":"https://openalex.org/C203702658","wikidata":"https://www.wikidata.org/wiki/Q1073063","display_name":"Recursively enumerable language","level":2,"score":0.43372100591659546},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.4308667778968811},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0826302170753479},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00153-020-00753-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-020-00753-4","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1903.00734","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1903.00734","pdf_url":"https://arxiv.org/pdf/1903.00734","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2919828861","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1903.00734.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1903.00734","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1903.00734","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1903.00734","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1903.00734","pdf_url":"https://arxiv.org/pdf/1903.00734","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4537042751","display_name":null,"funder_award_id":"581896","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"}],"funders":[{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1976089169","https://openalex.org/W1996816738","https://openalex.org/W2056414301","https://openalex.org/W2086643971","https://openalex.org/W2963736300","https://openalex.org/W2964092600","https://openalex.org/W4232277851"],"related_works":["https://openalex.org/W3101258384","https://openalex.org/W2101752691","https://openalex.org/W119870785","https://openalex.org/W2505565435","https://openalex.org/W2140392112","https://openalex.org/W2952380681","https://openalex.org/W1548332750","https://openalex.org/W2226604542","https://openalex.org/W1542543925","https://openalex.org/W2031203614","https://openalex.org/W2130872027","https://openalex.org/W2981580809","https://openalex.org/W2778271082","https://openalex.org/W2798385369","https://openalex.org/W2037709165","https://openalex.org/W2951076921","https://openalex.org/W2126650377","https://openalex.org/W1742000339","https://openalex.org/W2592362565","https://openalex.org/W2000110189"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
