{"id":"https://openalex.org/W1596057910","doi":"https://doi.org/10.1007/3-540-45833-6_1","title":"The Complexity of Real Recursive Functions","display_name":"The Complexity of Real Recursive Functions","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1596057910","doi":"https://doi.org/10.1007/3-540-45833-6_1","mag":"1596057910"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45833-6_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45833-6_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5021432473","display_name":"Manuel L. Campagnolo","orcid":"https://orcid.org/0000-0002-9634-3061"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Manuel Lameiras Campagnolo","raw_affiliation_strings":["D.M./I.S.A, Universidade T\u00e9cnica de Lisboa, Tapada da Ajuda, 1349-017, Lisboa, Portugal","Universidade T\u00e9cnica de Lisboa"],"affiliations":[{"raw_affiliation_string":"D.M./I.S.A, Universidade T\u00e9cnica de Lisboa, Tapada da Ajuda, 1349-017, Lisboa, Portugal","institution_ids":["https://openalex.org/I141596103"]},{"raw_affiliation_string":"Universidade T\u00e9cnica de Lisboa","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021432473"],"corresponding_institution_ids":["https://openalex.org/I141596103"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.3192,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.94480732,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9987999796867371,"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":0.993399977684021,"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/recursion","display_name":"Recursion (computer science)","score":0.9311593770980835},{"id":"https://openalex.org/keywords/\u03bc-operator","display_name":"\u03bc operator","score":0.8556464314460754},{"id":"https://openalex.org/keywords/primitive-recursive-function","display_name":"Primitive recursive function","score":0.8320705890655518},{"id":"https://openalex.org/keywords/recursive-functions","display_name":"Recursive functions","score":0.7129209041595459},{"id":"https://openalex.org/keywords/double-recursion","display_name":"Double recursion","score":0.6067225933074951},{"id":"https://openalex.org/keywords/mutual-recursion","display_name":"Mutual recursion","score":0.5578281283378601},{"id":"https://openalex.org/keywords/computability-theory","display_name":"Computability theory","score":0.55727219581604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5105234384536743},{"id":"https://openalex.org/keywords/complexity-class","display_name":"Complexity class","score":0.505669355392456},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49997806549072266},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.41616764664649963},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3843843936920166},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.3735528588294983},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.363625705242157},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3525850772857666},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33651310205459595},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20052173733711243}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.9311593770980835},{"id":"https://openalex.org/C85955891","wikidata":"https://www.wikidata.org/wiki/Q307772","display_name":"\u03bc operator","level":3,"score":0.8556464314460754},{"id":"https://openalex.org/C9986523","wikidata":"https://www.wikidata.org/wiki/Q1570472","display_name":"Primitive recursive function","level":2,"score":0.8320705890655518},{"id":"https://openalex.org/C2982939207","wikidata":"https://www.wikidata.org/wiki/Q1175101","display_name":"Recursive functions","level":2,"score":0.7129209041595459},{"id":"https://openalex.org/C139503435","wikidata":"https://www.wikidata.org/wiki/Q5300083","display_name":"Double recursion","level":3,"score":0.6067225933074951},{"id":"https://openalex.org/C124416688","wikidata":"https://www.wikidata.org/wiki/Q3454656","display_name":"Mutual recursion","level":3,"score":0.5578281283378601},{"id":"https://openalex.org/C111142201","wikidata":"https://www.wikidata.org/wiki/Q818930","display_name":"Computability theory","level":2,"score":0.55727219581604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5105234384536743},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.505669355392456},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49997806549072266},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.41616764664649963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3843843936920166},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3735528588294983},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.363625705242157},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3525850772857666},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33651310205459595},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20052173733711243},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/3-540-45833-6_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45833-6_1","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.19.1698","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.19.1698","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.math.ist.utl.pt/ftp/pub/CampagnoloM/02-C-realrec.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.63.7845","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.63.7845","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://wslc.math.ist.utl.pt/ftp/pub/CampagnoloM/02-C-realrec.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W143549547","https://openalex.org/W623765668","https://openalex.org/W745134671","https://openalex.org/W1485212685","https://openalex.org/W1492021657","https://openalex.org/W1534424229","https://openalex.org/W1545819195","https://openalex.org/W1555412307","https://openalex.org/W1579063588","https://openalex.org/W1579247651","https://openalex.org/W1596057910","https://openalex.org/W1965850345","https://openalex.org/W1991903325","https://openalex.org/W1992205856","https://openalex.org/W1998525082","https://openalex.org/W1999590237","https://openalex.org/W2001022561","https://openalex.org/W2002089154","https://openalex.org/W2014386961","https://openalex.org/W2071846104","https://openalex.org/W2077221255","https://openalex.org/W3029117793","https://openalex.org/W3141151088","https://openalex.org/W4239497877","https://openalex.org/W4247585886","https://openalex.org/W4255332478","https://openalex.org/W4285719527","https://openalex.org/W7018480365"],"related_works":["https://openalex.org/W1996792588","https://openalex.org/W2584778959","https://openalex.org/W1596057910","https://openalex.org/W4245260434","https://openalex.org/W2562211875","https://openalex.org/W252215219","https://openalex.org/W4239039951","https://openalex.org/W2016393796","https://openalex.org/W4388310202","https://openalex.org/W156699415"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
