{"id":"https://openalex.org/W2148376639","doi":"https://doi.org/10.1002/malq.19980440410","title":"Difference Sets and Recursion Theory","display_name":"Difference Sets and Recursion Theory","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2148376639","doi":"https://doi.org/10.1002/malq.19980440410","mag":"2148376639"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19980440410","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19980440410","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5091663311","display_name":"James H. Schmerl","orcid":"https://orcid.org/0000-0003-0545-8339"},"institutions":[{"id":"https://openalex.org/I140172145","display_name":"University of Connecticut","ror":"https://ror.org/02der9h97","country_code":"US","type":"education","lineage":["https://openalex.org/I140172145"]},{"id":"https://openalex.org/I165476936","display_name":"Vale (Brazil)","ror":"https://ror.org/05a99n355","country_code":"BR","type":"company","lineage":["https://openalex.org/I165476936"]}],"countries":["BR","US"],"is_corresponding":true,"raw_author_name":"James H. Schmerl","raw_affiliation_strings":["Department of Mathematics, University of Connecticut, Storrs, CT 06269, U.S.A","Thanks to Carl Jockusch, who valiantly persevered through some earlier versions of this paper and made valuable suggestions for improving and correcting them"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Connecticut, Storrs, CT 06269, U.S.A","institution_ids":["https://openalex.org/I140172145"]},{"raw_affiliation_string":"Thanks to Carl Jockusch, who valiantly persevered through some earlier versions of this paper and made valuable suggestions for improving and correcting them","institution_ids":["https://openalex.org/I165476936"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091663311"],"corresponding_institution_ids":["https://openalex.org/I140172145","https://openalex.org/I165476936"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.5057,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.68874405,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":"4","first_page":"515","last_page":"521"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.6567999720573425,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.6567999720573425,"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/mathematics","display_name":"Mathematics","score":0.8611990213394165},{"id":"https://openalex.org/keywords/recursion","display_name":"Recursion (computer science)","score":0.7736455202102661},{"id":"https://openalex.org/keywords/double-recursion","display_name":"Double recursion","score":0.5573070049285889},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.40292268991470337},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3967440724372864},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.370887815952301},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32342851161956787},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1549200415611267},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.042544424533843994}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8611990213394165},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.7736455202102661},{"id":"https://openalex.org/C139503435","wikidata":"https://www.wikidata.org/wiki/Q5300083","display_name":"Double recursion","level":3,"score":0.5573070049285889},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.40292268991470337},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3967440724372864},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.370887815952301},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32342851161956787},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1549200415611267},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.042544424533843994},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19980440410","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19980440410","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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":4,"referenced_works":["https://openalex.org/W2009532602","https://openalex.org/W2026093615","https://openalex.org/W6656919214","https://openalex.org/W6808364171"],"related_works":["https://openalex.org/W4246540581","https://openalex.org/W1973821254","https://openalex.org/W4229643535","https://openalex.org/W2023101964","https://openalex.org/W2896379815","https://openalex.org/W2006836388","https://openalex.org/W1509114718","https://openalex.org/W4249703975","https://openalex.org/W2286072184","https://openalex.org/W2065302945"],"abstract_inverted_index":{"Abstract":[0],"There":[1],"is":[2,10,21],"a":[3],"recursive":[4,28],"set":[5,13,18,25],"of":[6,14,26],"natural":[7],"numbers":[8],"which":[9,20],"the":[11,23],"difference":[12,24],"some":[15],"recursively":[16],"enumerable":[17],"but":[19],"not":[22],"any":[27],"set.":[29]},"counts_by_year":[],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2025-10-10T00:00:00"}