{"id":"https://openalex.org/W7119538556","doi":"https://doi.org/10.1093/logcom/exaf076","title":"On quasi-reducibility for c.e. sets Part I. The structure of the <i>Q</i> -degrees and the <i>sQ</i> -degrees","display_name":"On quasi-reducibility for c.e. sets Part I. The structure of the <i>Q</i> -degrees and the <i>sQ</i> -degrees","publication_year":2025,"publication_date":"2025-12-03","ids":{"openalex":"https://openalex.org/W7119538556","doi":"https://doi.org/10.1093/logcom/exaf076"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exaf076","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exaf076","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","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/A5122352294","display_name":"Sapir Ben-Shahar","orcid":null},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sapir Ben-Shahar","raw_affiliation_strings":["Department of Mathematics, University of Wisconsin-Madison , 480 Lincoln Drive, Madison, WI 53706,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin-Madison , 480 Lincoln Drive, Madison, WI 53706,","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110868906","display_name":"Rod Downey","orcid":null},"institutions":[{"id":"https://openalex.org/I41156924","display_name":"Victoria University of Wellington","ror":"https://ror.org/0040r6f76","country_code":"NZ","type":"education","lineage":["https://openalex.org/I41156924"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Rodney G Downey","raw_affiliation_strings":["School of Mathematics and Statistics, Victoria University of Wellington , 79 Kelburn Parade, 6012, Wellington,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Victoria University of Wellington , 79 Kelburn Parade, 6012, Wellington,","institution_ids":["https://openalex.org/I41156924"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030197582","display_name":"Mariya I. Soskova","orcid":"https://orcid.org/0000-0003-4505-8006"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mariya Soskova","raw_affiliation_strings":["Department of Mathematics, University of Wisconsin-Madison , 480 Lincoln Drive, Madison, WI 53706,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin-Madison , 480 Lincoln Drive, Madison, WI 53706,","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.65985884,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.6092000007629395,"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":0.6092000007629395,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.1476999968290329,"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":0.12300000339746475,"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/join","display_name":"Join (topology)","score":0.6165000200271606},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.60589998960495},{"id":"https://openalex.org/keywords/complete-lattice","display_name":"Complete lattice","score":0.4115000069141388},{"id":"https://openalex.org/keywords/crystal-structure","display_name":"Crystal structure","score":0.2653999924659729}],"concepts":[{"id":"https://openalex.org/C2776124973","wikidata":"https://www.wikidata.org/wiki/Q3183033","display_name":"Join (topology)","level":2,"score":0.6165000200271606},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.60589998960495},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4650999903678894},{"id":"https://openalex.org/C201640847","wikidata":"https://www.wikidata.org/wiki/Q2362924","display_name":"Complete lattice","level":3,"score":0.4115000069141388},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3668000102043152},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35260000824928284},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3400000035762787},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3125},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.2653999924659729},{"id":"https://openalex.org/C180375552","wikidata":"https://www.wikidata.org/wiki/Q2635326","display_name":"Structured program theorem","level":2,"score":0.26249998807907104}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/logcom/exaf076","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exaf076","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1977003635","display_name":null,"funder_award_id":"SFI-MPS-TSM-00013602","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3057025858","display_name":null,"funder_award_id":"DMS-2451099","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W59478902","https://openalex.org/W1597872305","https://openalex.org/W1963706220","https://openalex.org/W1980888823","https://openalex.org/W2031066297","https://openalex.org/W2035867406","https://openalex.org/W2037662783","https://openalex.org/W2041909100","https://openalex.org/W2042840821","https://openalex.org/W2045033949","https://openalex.org/W2088993859","https://openalex.org/W2090146870","https://openalex.org/W2168011248","https://openalex.org/W4206238498","https://openalex.org/W4253210619","https://openalex.org/W4291166496"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1,26],"study":[2],"the":[3,6,29,36,44,47,54,72,76],"structure":[4],"of":[5,71],"c.e.":[7,55,73,77],"$Q$-":[8],"and":[9,34],"$sQ$-degrees.":[10],"For":[11],"both":[12,41],"structures,":[13],"we":[14,65],"show":[15,27,66],"that":[16,28,35,67],"there":[17],"are":[18,31],"join":[19],"irreducible":[20],"degrees":[21],"but":[22,57],"no":[23,68],"Ahmad":[24],"pairs.":[25],"structures":[30],"not":[32],"distributive,":[33],"lattice":[37,48],"$N_{5}$":[38],"embeds":[39],"in":[40,53],"structures.":[42],"On":[43],"other":[45],"hand":[46],"$M_{5}$":[49],"cannot":[50],"be":[51,62],"embedded":[52],"$sQ$-degrees,":[56],"a":[58,80],"critical":[59],"triple":[60],"can":[61],"embedded.":[63],"Finally,":[64],"initial":[69],"segment":[70],"$sQ$-degrees":[74],"or":[75],"$Q$-degrees":[78],"is":[79],"lattice.":[81]},"counts_by_year":[],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2026-01-09T00:00:00"}
