{"id":"https://openalex.org/W2073560388","doi":"https://doi.org/10.1016/0168-0072(86)90073-4","title":"Generic objects in recursion theory II: Operations on recursive approximation spaces","display_name":"Generic objects in recursion theory II: Operations on recursive approximation spaces","publication_year":1986,"publication_date":"1986-01-01","ids":{"openalex":"https://openalex.org/W2073560388","doi":"https://doi.org/10.1016/0168-0072(86)90073-4","mag":"2073560388"},"language":"en","primary_location":{"id":"doi:10.1016/0168-0072(86)90073-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0168-0072(86)90073-4","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"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":"Annals of Pure and Applied Logic","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/A5032513322","display_name":"A. Nerode","orcid":null},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"A. Nerode","raw_affiliation_strings":["Department of Mathematics, Cornell University, Ithaca, NY 14853, USA","Department of Mathematics, Cornell University,#N#Ithaca, NY 14853, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Cornell University, Ithaca, NY 14853, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"Department of Mathematics, Cornell University,#N#Ithaca, NY 14853, USA","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113511227","display_name":"Jeffrey B. Remmel","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.B. Remmel","raw_affiliation_strings":["Department of Mathematics, University of California at San Diego, La Jolla, CA 92093, USA","Department of Mathematics,University of California at San Diego,La Jolla,CA 92093,USA)"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California at San Diego, La Jolla, CA 92093, USA","institution_ids":["https://openalex.org/I36258959"]},{"raw_affiliation_string":"Department of Mathematics,University of California at San Diego,La Jolla,CA 92093,USA)","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032513322"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.2170043,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"31","issue":null,"first_page":"257","last_page":"288"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9508000016212463,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.930400013923645,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.809672474861145},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6188724040985107},{"id":"https://openalex.org/keywords/double-recursion","display_name":"Double recursion","score":0.5834323763847351},{"id":"https://openalex.org/keywords/mutual-recursion","display_name":"Mutual recursion","score":0.5521796345710754},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5155186653137207},{"id":"https://openalex.org/keywords/computability-theory","display_name":"Computability theory","score":0.4626736342906952},{"id":"https://openalex.org/keywords/\u03bc-operator","display_name":"\u03bc operator","score":0.4377450942993164},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3646259903907776},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35630056262016296},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3465166687965393},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3425949513912201},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2887721657752991},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.273002028465271},{"id":"https://openalex.org/keywords/recursive-functions","display_name":"Recursive functions","score":0.2667023837566376}],"concepts":[{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.809672474861145},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6188724040985107},{"id":"https://openalex.org/C139503435","wikidata":"https://www.wikidata.org/wiki/Q5300083","display_name":"Double recursion","level":3,"score":0.5834323763847351},{"id":"https://openalex.org/C124416688","wikidata":"https://www.wikidata.org/wiki/Q3454656","display_name":"Mutual recursion","level":3,"score":0.5521796345710754},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5155186653137207},{"id":"https://openalex.org/C111142201","wikidata":"https://www.wikidata.org/wiki/Q818930","display_name":"Computability theory","level":2,"score":0.4626736342906952},{"id":"https://openalex.org/C85955891","wikidata":"https://www.wikidata.org/wiki/Q307772","display_name":"\u03bc operator","level":3,"score":0.4377450942993164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3646259903907776},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35630056262016296},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3465166687965393},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3425949513912201},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2887721657752991},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.273002028465271},{"id":"https://openalex.org/C2982939207","wikidata":"https://www.wikidata.org/wiki/Q1175101","display_name":"Recursive functions","level":2,"score":0.2667023837566376},{"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:10.1016/0168-0072(86)90073-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0168-0072(86)90073-4","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"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":"Annals of Pure and Applied Logic","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":21,"referenced_works":["https://openalex.org/W23885666","https://openalex.org/W348975399","https://openalex.org/W1542856213","https://openalex.org/W1972481159","https://openalex.org/W1974895419","https://openalex.org/W1977629364","https://openalex.org/W1979187227","https://openalex.org/W1989095041","https://openalex.org/W2004243323","https://openalex.org/W2012534042","https://openalex.org/W2025575556","https://openalex.org/W2062135743","https://openalex.org/W2079583777","https://openalex.org/W2117832390","https://openalex.org/W2149628667","https://openalex.org/W2530006810","https://openalex.org/W2905135108","https://openalex.org/W4253176128","https://openalex.org/W6600979529","https://openalex.org/W6611821308","https://openalex.org/W6651543610"],"related_works":["https://openalex.org/W1996792588","https://openalex.org/W2584778959","https://openalex.org/W85549400","https://openalex.org/W4388310202","https://openalex.org/W167110062","https://openalex.org/W90338445","https://openalex.org/W1589207578","https://openalex.org/W2562211875","https://openalex.org/W1596057910","https://openalex.org/W4247035339"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}