{"id":"https://openalex.org/W2100268447","doi":"https://doi.org/10.1002/1521-3870(200101)47:1<3::aid-malq3>3.0.co;2-a","title":"On a Conjecture of Kleene and Post","display_name":"On a Conjecture of Kleene and Post","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2100268447","doi":"https://doi.org/10.1002/1521-3870(200101)47:1<3::aid-malq3>3.0.co;2-a","mag":"2100268447"},"language":"en","primary_location":{"id":"doi:10.1002/1521-3870(200101)47:1<3::aid-malq3>3.0.co;2-a","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1521-3870(200101)47:1<3::aid-malq3>3.0.co;2-a","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":"MLQ","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/A5076862599","display_name":"S. Barry Cooper","orcid":"https://orcid.org/0000-0001-5103-0400"},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"S. Barry Cooper","raw_affiliation_strings":["School of Mathematics, Department of Pure Mathematics, University of Leeds, Leeds LS 9JT, England"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Department of Pure Mathematics, University of Leeds, Leeds LS 9JT, England","institution_ids":["https://openalex.org/I130828816"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076862599"],"corresponding_institution_ids":["https://openalex.org/I130828816"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":1.8184,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.85451018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"47","issue":"1","first_page":"3","last_page":"33"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9934999942779541,"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/T11567","display_name":"semigroups and automata theory","score":0.9728999733924866,"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":0.8691416382789612},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6934309601783752},{"id":"https://openalex.org/keywords/turing","display_name":"Turing","score":0.6856627464294434},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4956570863723755},{"id":"https://openalex.org/keywords/recursively-enumerable-language","display_name":"Recursively enumerable language","score":0.49348604679107666},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46993690729141235},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.45344027876853943},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4532023072242737},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3652172088623047},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3515043258666992},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06986284255981445}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8691416382789612},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6934309601783752},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.6856627464294434},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4956570863723755},{"id":"https://openalex.org/C203702658","wikidata":"https://www.wikidata.org/wiki/Q1073063","display_name":"Recursively enumerable language","level":2,"score":0.49348604679107666},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46993690729141235},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.45344027876853943},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4532023072242737},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3652172088623047},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3515043258666992},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06986284255981445},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/1521-3870(200101)47:1<3::aid-malq3>3.0.co;2-a","is_oa":false,"landing_page_url":"https://doi.org/10.1002/1521-3870(200101)47:1<3::aid-malq3>3.0.co;2-a","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":"MLQ","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2072965782","https://openalex.org/W2140918173","https://openalex.org/W1992460182","https://openalex.org/W2135152748","https://openalex.org/W2132951762","https://openalex.org/W2174940886","https://openalex.org/W2328267232","https://openalex.org/W2037833610","https://openalex.org/W1973052363","https://openalex.org/W798745779"],"abstract_inverted_index":{"A":[0],"proof":[1],"is":[2,15],"given":[3],"that":[4],"0\u2032":[5],"(the":[6],"argest":[7],"Turing":[8],"degree":[9],"containing":[10],"a":[11,27,36],"computably":[12],"enumerable":[13],"set)":[14],"definable":[16],"in":[17],"the":[18,21,41,44],"structure":[19],"of":[20,23,30,38,43],"degrees":[22],"unsolvability.":[24],"This":[25],"answers":[26],"long-standing":[28],"question":[29],"Kleene":[31],"and":[32,34],"Post,":[33],"has":[35],"number":[37],"corollaries":[39],"including":[40],"definability":[42],"jump":[45],"operator.":[46]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}