{"id":"https://openalex.org/W2164382356","doi":"https://doi.org/10.1017/s0960129500000918","title":"A note on recursive functions","display_name":"A note on recursive functions","publication_year":1996,"publication_date":"1996-04-01","ids":{"openalex":"https://openalex.org/W2164382356","doi":"https://doi.org/10.1017/s0960129500000918","mag":"2164382356"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129500000918","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5087795537","display_name":"N. Sabadini","orcid":"https://orcid.org/0000-0003-2846-4475"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Nicoletta Sabadini","raw_affiliation_strings":["Dipartimento di Scienze dell\u2019 Informazione, Universit\u00e0 di Milano, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze dell\u2019 Informazione, Universit\u00e0 di Milano, Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027824085","display_name":"Sebastiano Vigna","orcid":"https://orcid.org/0000-0002-3257-651X"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sebastiano Vigna","raw_affiliation_strings":["Dipartimento di Scienze dell\u2019 Informazione, Universit\u00e0 di Milano, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Scienze dell\u2019 Informazione, Universit\u00e0 di Milano, Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047454525","display_name":"R. F. C. Walters","orcid":null},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Robert F. C. Walters","raw_affiliation_strings":["School of Mathematics and Statistics, University of Sydney, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, University of Sydney, Australia#TAB#","institution_ids":["https://openalex.org/I129604602"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.102,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":13,"citation_normalized_percentile":{"value":0.735624,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":80,"max":81},"biblio":{"volume":"6","issue":"2","first_page":"127","last_page":"139"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9997,"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":0.9997,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9992,"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":0.9983,"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/primitive-recursive-function","display_name":"Primitive recursive function","score":0.5097089},{"id":"https://openalex.org/keywords/expressive-power","display_name":"Expressive power","score":0.49504915}],"concepts":[{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.6905106},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6076188},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.53493637},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.511292},{"id":"https://openalex.org/C9986523","wikidata":"https://www.wikidata.org/wiki/Q1570472","display_name":"Primitive recursive function","level":2,"score":0.5097089},{"id":"https://openalex.org/C195818886","wikidata":"https://www.wikidata.org/wiki/Q5421724","display_name":"Expressive power","level":2,"score":0.49504915},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.43696034},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4312195},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38994032},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3673687},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31280833},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.28892303},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19337577},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19291309},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.157522},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129500000918","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":7,"referenced_works":["https://openalex.org/W142158933","https://openalex.org/W1581728838","https://openalex.org/W2001462012","https://openalex.org/W2033751758","https://openalex.org/W2042198724","https://openalex.org/W2120935172","https://openalex.org/W2172307690"],"related_works":["https://openalex.org/W4206240906","https://openalex.org/W3013987451","https://openalex.org/W2962878999","https://openalex.org/W2382957647","https://openalex.org/W2094667621","https://openalex.org/W2063509913","https://openalex.org/W1968830388","https://openalex.org/W1749534632","https://openalex.org/W1509295490","https://openalex.org/W1495567550"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,60,68],"new":[6],"and":[7,44,46],"elegant":[8],"definition":[9,21,50],"of":[10,13,33,72],"the":[11,25,30,34],"class":[12],"recursive":[14],"functions,":[15],"which":[16],"is":[17],"analogous":[18],"to":[19],"Kleene's":[20],"but":[22],"differs":[23],"in":[24,39,59],"primitives":[26],"taken,":[27],"thus":[28,66],"demonstrating":[29],"computational":[31],"power":[32],"concurrent":[35],"programming":[36],"language":[37],"introduced":[38],"Walters":[40,42,47],"(1991),":[41],"(1992)":[43],"Khalil":[45],"(1993).":[48],"The":[49],"can":[51],"be":[52],"immediately":[53],"rephrased":[54],"for":[55],"any":[56],"distributive":[57],"graph":[58],"countably":[61],"extensive":[62],"category":[63],"with":[64],"products,":[65],"allowing":[67],"wide,":[69],"natural":[70],"generalization":[71],"computable":[73],"functions.":[74]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2164382356","counts_by_year":[],"updated_date":"2024-12-11T11:08:05.198044","created_date":"2016-06-24"}