{"id":"https://openalex.org/W1988983596","doi":"https://doi.org/10.1016/0304-3975(79)90007-0","title":"The typed \u03bb-calculus is not elementary recursive","display_name":"The typed \u03bb-calculus is not elementary recursive","publication_year":1979,"publication_date":"1979-07-01","ids":{"openalex":"https://openalex.org/W1988983596","doi":"https://doi.org/10.1016/0304-3975(79)90007-0","mag":"1988983596"},"language":"en","primary_location":{"id":"doi:10.1016/0304-3975(79)90007-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(79)90007-0","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/2027.42/23535","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103481023","display_name":"Richard Statman","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Richard Statman","raw_affiliation_strings":["Department of Philosophy, The University of Michigan, Ann Arbor, MI 48109, U.S.A"],"affiliations":[{"raw_affiliation_string":"Department of Philosophy, The University of Michigan, Ann Arbor, MI 48109, U.S.A","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103481023"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":6.8692,"has_fulltext":true,"cited_by_count":162,"citation_normalized_percentile":{"value":0.96182412,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"9","issue":"1","first_page":"73","last_page":"81"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9998000264167786,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9994000196456909,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9961000084877014,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.6576850414276123},{"id":"https://openalex.org/keywords/typed-lambda-calculus","display_name":"Typed lambda calculus","score":0.6336816549301147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5187540054321289},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.44148722290992737},{"id":"https://openalex.org/keywords/simply-typed-lambda-calculus","display_name":"Simply typed lambda calculus","score":0.4164779484272003},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.4022797644138336},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.364862859249115},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.29907721281051636},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18822148442268372}],"concepts":[{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.6576850414276123},{"id":"https://openalex.org/C142156749","wikidata":"https://www.wikidata.org/wiki/Q2607208","display_name":"Typed lambda calculus","level":3,"score":0.6336816549301147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5187540054321289},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44148722290992737},{"id":"https://openalex.org/C61237538","wikidata":"https://www.wikidata.org/wiki/Q855192","display_name":"Simply typed lambda calculus","level":4,"score":0.4164779484272003},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.4022797644138336},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.364862859249115},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29907721281051636},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18822148442268372},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0304-3975(79)90007-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(79)90007-0","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:deepblue.lib.umich.edu:2027.42/23535","is_oa":true,"landing_page_url":"http://hdl.handle.net/2027.42/23535>","pdf_url":"https://hdl.handle.net/2027.42/23535","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:deepblue.lib.umich.edu:2027.42/23535","is_oa":true,"landing_page_url":"http://hdl.handle.net/2027.42/23535>","pdf_url":"https://hdl.handle.net/2027.42/23535","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1988983596.pdf","grobid_xml":"https://content.openalex.org/works/W1988983596.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W124154939","https://openalex.org/W126630044","https://openalex.org/W132036571","https://openalex.org/W615345195","https://openalex.org/W914834656","https://openalex.org/W1484527931","https://openalex.org/W1492311822","https://openalex.org/W1497630311","https://openalex.org/W1594912681","https://openalex.org/W1655990431","https://openalex.org/W1876049612","https://openalex.org/W1991670662","https://openalex.org/W1997536798","https://openalex.org/W2007512721","https://openalex.org/W2034676877","https://openalex.org/W2039112578","https://openalex.org/W2065251436","https://openalex.org/W2075322664","https://openalex.org/W2163663581","https://openalex.org/W3153208655","https://openalex.org/W3174395628","https://openalex.org/W4388432515","https://openalex.org/W6605083762","https://openalex.org/W6605243161","https://openalex.org/W6619233846","https://openalex.org/W6629226837","https://openalex.org/W6669397811","https://openalex.org/W6684305147","https://openalex.org/W6923786857"],"related_works":["https://openalex.org/W3123171335","https://openalex.org/W2153353244","https://openalex.org/W2761902706","https://openalex.org/W21537352","https://openalex.org/W1595139175","https://openalex.org/W4294236610","https://openalex.org/W1983748102","https://openalex.org/W4205386752","https://openalex.org/W2189323991","https://openalex.org/W1583714326"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
