{"id":"https://openalex.org/W1975957807","doi":"https://doi.org/10.1016/s0304-3975(00)00418-7","title":"Primitive recursion for higher-order abstract syntax","display_name":"Primitive recursion for higher-order abstract syntax","publication_year":2001,"publication_date":"2001-09-01","ids":{"openalex":"https://openalex.org/W1975957807","doi":"https://doi.org/10.1016/s0304-3975(00)00418-7","mag":"1975957807"},"language":"en","primary_location":{"id":"doi:10.1016/s0304-3975(00)00418-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(00)00418-7","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113220543","display_name":"Carsten Sch\u00fcrmann","orcid":"https://orcid.org/0000-0003-4793-0099"},"institutions":[{"id":"https://openalex.org/I32971472","display_name":"Yale University","ror":"https://ror.org/03v76x132","country_code":"US","type":"education","lineage":["https://openalex.org/I32971472"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Carsten Sch\u00fcrmann","raw_affiliation_strings":["Department of Computer Science, Yale University, P.O. Box 208285, New Haven, CT 06520, USA","YALE UNIVERSITY, New Haven, CT"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Yale University, P.O. Box 208285, New Haven, CT 06520, USA","institution_ids":["https://openalex.org/I32971472"]},{"raw_affiliation_string":"YALE UNIVERSITY, New Haven, CT","institution_ids":["https://openalex.org/I32971472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108078154","display_name":"Jo\u00eblle Despeyroux","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jo\u00eblle Despeyroux","raw_affiliation_strings":["INRIA, 06902 Sophia-Antipolis Cedex, France","[INRIA-Sophia Antipolis, France]"],"affiliations":[{"raw_affiliation_string":"INRIA, 06902 Sophia-Antipolis Cedex, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"[INRIA-Sophia Antipolis, France]","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021476649","display_name":"Frank Pfenning","orcid":"https://orcid.org/0000-0002-8279-5817"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Frank Pfenning","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, PA 15213, USA","Carnegie-Mellon University, Pittsburgh, PA"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Carnegie-Mellon University, Pittsburgh, PA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113220543"],"corresponding_institution_ids":["https://openalex.org/I32971472"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":10.3573,"has_fulltext":false,"cited_by_count":94,"citation_normalized_percentile":{"value":0.97975187,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"266","issue":"1-2","first_page":"1","last_page":"57"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9958999752998352,"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/T10142","display_name":"Formal Methods in Verification","score":0.9872000217437744,"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/recursion","display_name":"Recursion (computer science)","score":0.7253382802009583},{"id":"https://openalex.org/keywords/syntax","display_name":"Syntax","score":0.6116166710853577},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6017455458641052},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.5213438272476196},{"id":"https://openalex.org/keywords/abstract-syntax","display_name":"Abstract syntax","score":0.5105634927749634},{"id":"https://openalex.org/keywords/simply-typed-lambda-calculus","display_name":"Simply typed lambda calculus","score":0.48680445551872253},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.47987738251686096},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46836769580841064},{"id":"https://openalex.org/keywords/lambda-calculus","display_name":"Lambda calculus","score":0.4601282775402069},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4295046329498291},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.42035001516342163},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4134133458137512},{"id":"https://openalex.org/keywords/dependent-type","display_name":"Dependent type","score":0.4119076728820801},{"id":"https://openalex.org/keywords/typed-lambda-calculus","display_name":"Typed lambda calculus","score":0.4034442901611328},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.37619805335998535},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.33458200097084045},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17751842737197876},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08111816644668579}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.7253382802009583},{"id":"https://openalex.org/C60048249","wikidata":"https://www.wikidata.org/wiki/Q37437","display_name":"Syntax","level":2,"score":0.6116166710853577},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6017455458641052},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.5213438272476196},{"id":"https://openalex.org/C114408938","wikidata":"https://www.wikidata.org/wiki/Q333373","display_name":"Abstract syntax","level":3,"score":0.5105634927749634},{"id":"https://openalex.org/C61237538","wikidata":"https://www.wikidata.org/wiki/Q855192","display_name":"Simply typed lambda calculus","level":4,"score":0.48680445551872253},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.47987738251686096},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46836769580841064},{"id":"https://openalex.org/C135790938","wikidata":"https://www.wikidata.org/wiki/Q242028","display_name":"Lambda calculus","level":2,"score":0.4601282775402069},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4295046329498291},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.42035001516342163},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4134133458137512},{"id":"https://openalex.org/C20528804","wikidata":"https://www.wikidata.org/wiki/Q997433","display_name":"Dependent type","level":3,"score":0.4119076728820801},{"id":"https://openalex.org/C142156749","wikidata":"https://www.wikidata.org/wiki/Q2607208","display_name":"Typed lambda calculus","level":3,"score":0.4034442901611328},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.37619805335998535},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.33458200097084045},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17751842737197876},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08111816644668579},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0304-3975(00)00418-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(00)00418-7","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W77859606","https://openalex.org/W171306847","https://openalex.org/W1517052937","https://openalex.org/W1561822296","https://openalex.org/W1588934256","https://openalex.org/W1760151458","https://openalex.org/W1949275316","https://openalex.org/W1974190112","https://openalex.org/W1988177568","https://openalex.org/W1996404651","https://openalex.org/W2029408547","https://openalex.org/W2033185534","https://openalex.org/W2046645050","https://openalex.org/W2078334802","https://openalex.org/W2089579946","https://openalex.org/W2090768444","https://openalex.org/W2116286972","https://openalex.org/W2148870725","https://openalex.org/W2149314483","https://openalex.org/W2404750789","https://openalex.org/W2793825941","https://openalex.org/W2911379300","https://openalex.org/W2957465573","https://openalex.org/W4388432515","https://openalex.org/W6603158373","https://openalex.org/W6606942088"],"related_works":["https://openalex.org/W3123171335","https://openalex.org/W21537352","https://openalex.org/W2153353244","https://openalex.org/W4297858128","https://openalex.org/W1594451895","https://openalex.org/W4205386752","https://openalex.org/W2146437601","https://openalex.org/W1983748102","https://openalex.org/W2140892577","https://openalex.org/W1458664253"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}