{"id":"https://openalex.org/W1988547543","doi":"https://doi.org/10.2178/jsl/1052669063","title":"Decomposition and infima in the computably enumerable degrees","display_name":"Decomposition and infima in the computably enumerable degrees","publication_year":2003,"publication_date":"2003-06-01","ids":{"openalex":"https://openalex.org/W1988547543","doi":"https://doi.org/10.2178/jsl/1052669063","mag":"1988547543"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1052669063","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"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/A5071503687","display_name":"Rodney G. Downey","orcid":"https://orcid.org/0000-0003-4381-2845"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rodney G. Downey","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037735865","display_name":"Geoffrey Laforte","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Geoffrey L. Laforte","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5041739806","display_name":"Richard A. Shore","orcid":"https://orcid.org/0000-0003-0381-5259"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Richard A. Shore","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.34,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.50822,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":70,"max":72},"biblio":{"volume":"68","issue":"2","first_page":"551","last_page":"579"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":1.0,"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":1.0,"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":0.9801,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9687,"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/infimum-and-supremum","display_name":"Infimum and supremum","score":0.8393501},{"id":"https://openalex.org/keywords/turing","display_name":"Turing","score":0.5989487},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5890212}],"concepts":[{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.8393501},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6525816},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.5989487},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5890212},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.54112494},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5158067},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38372022},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27399477},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.1901474},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14494309},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.053459823},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1052669063","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"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":16,"referenced_works":["https://openalex.org/W1592162066","https://openalex.org/W1967629533","https://openalex.org/W1994697128","https://openalex.org/W2006726677","https://openalex.org/W2016891068","https://openalex.org/W2033957959","https://openalex.org/W2036737307","https://openalex.org/W2037416374","https://openalex.org/W2042499838","https://openalex.org/W2045263624","https://openalex.org/W2051601785","https://openalex.org/W2055472336","https://openalex.org/W2056414301","https://openalex.org/W2070390550","https://openalex.org/W2089792255","https://openalex.org/W4232277851"],"related_works":["https://openalex.org/W4288318511","https://openalex.org/W4283118620","https://openalex.org/W3033742928","https://openalex.org/W2953175190","https://openalex.org/W2784344684","https://openalex.org/W2562705109","https://openalex.org/W2257286100","https://openalex.org/W2099602951","https://openalex.org/W2098184873","https://openalex.org/W2012159417"],"abstract_inverted_index":{"Abstract":[0],"Given":[1],"two":[2],"incomparable":[3],"c.e.":[4,17],"Turing":[5],"degrees":[6],"a":[7,16,25,35,46],"and":[8,43],"b":[9,31,39,48],",":[10,42],"we":[11],"show":[12],"that":[13,21],"there":[14],"exists":[15],"degree":[18],"c":[19,22,27,33,37,41,44],"such":[20],"=":[23],"(":[24,30],"\u222a":[26,32,36,40,47],")":[28],"\u2229":[29],"),":[34],"\u2223":[38],"<":[45],".":[49]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1988547543","counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-01-19T15:24:52.203758","created_date":"2016-06-24"}