{"id":"https://openalex.org/W2056936739","doi":"https://doi.org/10.1007/s10485-008-9124-9","title":"L\u00e4uchli\u2019s Completeness Theorem from a Topos-Theoretic Perspective","display_name":"L\u00e4uchli\u2019s Completeness Theorem from a Topos-Theoretic Perspective","publication_year":2008,"publication_date":"2008-02-05","ids":{"openalex":"https://openalex.org/W2056936739","doi":"https://doi.org/10.1007/s10485-008-9124-9","mag":"2056936739"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-008-9124-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-008-9124-9","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11336/120204","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113488559","display_name":"Mat\u0131\u0301as Menni","orcid":null},"institutions":[{"id":"https://openalex.org/I4210138160","display_name":"Centro Cient\u00edfico Tecnol\u00f3gico - La Plata","ror":"https://ror.org/03qan4b12","country_code":"AR","type":"facility","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4210138160","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Mat\u00edas Menni","raw_affiliation_strings":["Conicet, Lifia. C.C. 11. 1900, La Plata, Argentina","La Plata, Argentina"],"affiliations":[{"raw_affiliation_string":"Conicet, Lifia. C.C. 11. 1900, La Plata, Argentina","institution_ids":["https://openalex.org/I4210138160"]},{"raw_affiliation_string":"La Plata, Argentina","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113488559"],"corresponding_institution_ids":["https://openalex.org/I4210138160"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.10382735,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"18","issue":"2","first_page":"185","last_page":"197"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9901999831199646,"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":0.9901999831199646,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9832000136375427,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9829999804496765,"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/topos-theory","display_name":"Topos theory","score":0.8935647010803223},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.8771369457244873},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8514906764030457},{"id":"https://openalex.org/keywords/g\u00f6dels-completeness-theorem","display_name":"G\u00f6del's completeness theorem","score":0.7312936186790466},{"id":"https://openalex.org/keywords/surjective-function","display_name":"Surjective function","score":0.7050967812538147},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.5821261405944824},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.44159233570098877},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4411044418811798},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40821754932403564},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0832822322845459}],"concepts":[{"id":"https://openalex.org/C182141236","wikidata":"https://www.wikidata.org/wiki/Q2143621","display_name":"Topos theory","level":2,"score":0.8935647010803223},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.8771369457244873},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8514906764030457},{"id":"https://openalex.org/C200116569","wikidata":"https://www.wikidata.org/wiki/Q902052","display_name":"G\u00f6del's completeness theorem","level":2,"score":0.7312936186790466},{"id":"https://openalex.org/C119238805","wikidata":"https://www.wikidata.org/wiki/Q229102","display_name":"Surjective function","level":2,"score":0.7050967812538147},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.5821261405944824},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.44159233570098877},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4411044418811798},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40821754932403564},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0832822322845459},{"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10485-008-9124-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-008-9124-9","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","raw_type":"journal-article"},{"id":"pmh:oai:ri.conicet.gov.ar:11336/120204","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/120204","pdf_url":null,"source":{"id":"https://openalex.org/S4306401400","display_name":"Conicet","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210104196","host_organization_name":"Centro Cient\u00edfico Tecnol\u00f3gico - Nordeste","host_organization_lineage":["https://openalex.org/I4210104196"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ri.conicet.gov.ar:11336/120204","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/120204","pdf_url":null,"source":{"id":"https://openalex.org/S4306401400","display_name":"Conicet","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210104196","host_organization_name":"Centro Cient\u00edfico Tecnol\u00f3gico - Nordeste","host_organization_lineage":["https://openalex.org/I4210104196"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321629","display_name":"Dalhousie University","ror":"https://ror.org/01e6qks80"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W44595607","https://openalex.org/W1483568252","https://openalex.org/W1534018603","https://openalex.org/W1594900487","https://openalex.org/W1699512023","https://openalex.org/W1979324214","https://openalex.org/W1988667793","https://openalex.org/W2002346383","https://openalex.org/W2029971057","https://openalex.org/W2062936207","https://openalex.org/W2085254659","https://openalex.org/W2099684400","https://openalex.org/W2108983913","https://openalex.org/W2163663581","https://openalex.org/W2913347770","https://openalex.org/W4236657968","https://openalex.org/W4248166369"],"related_works":["https://openalex.org/W4388322322","https://openalex.org/W4388254113","https://openalex.org/W4388716345","https://openalex.org/W4388295672","https://openalex.org/W568038298","https://openalex.org/W2963686028","https://openalex.org/W1996984776","https://openalex.org/W2341526223","https://openalex.org/W2792259314","https://openalex.org/W1974506686"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
