{"id":"https://openalex.org/W2086472732","doi":"https://doi.org/10.2178/jsl/1318338843","title":"An almost-universal cupping degree","display_name":"An almost-universal cupping degree","publication_year":2011,"publication_date":"2011-10-11","ids":{"openalex":"https://openalex.org/W2086472732","doi":"https://doi.org/10.2178/jsl/1318338843","mag":"2086472732"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1318338843","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1318338843","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Symbolic 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/A5100325209","display_name":"Jiang Liu","orcid":"https://orcid.org/0000-0001-6281-6505"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Jiang Liu","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore","Nanyang Technological University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030897972","display_name":"Guohua Wu","orcid":"https://orcid.org/0000-0003-1552-9620"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Guohua Wu","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore, E-mail:","Nanyang Technological University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore, E-mail:","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100325209"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.3022,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61700893,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"76","issue":"4","first_page":"1137","last_page":"1152"},"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/T11567","display_name":"semigroups and automata theory","score":0.9696000218391418,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9567000269889832,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/degree","display_name":"Degree (music)","score":0.9060697555541992},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6649364233016968},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5627998113632202},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5386744141578674},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.538398802280426},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.49788832664489746},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4700939357280731},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39905691146850586},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3471665382385254},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33090096712112427},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24323990941047668},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11108389496803284},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.0704997181892395},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.057562053203582764},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.047538816928863525}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.9060697555541992},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6649364233016968},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5627998113632202},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5386744141578674},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.538398802280426},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.49788832664489746},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4700939357280731},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39905691146850586},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3471665382385254},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33090096712112427},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24323990941047668},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11108389496803284},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0704997181892395},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.057562053203582764},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.047538816928863525},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1318338843","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1318338843","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1318338843","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1318338843","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.8399999737739563,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W623765668","https://openalex.org/W1537013562","https://openalex.org/W2007016528","https://openalex.org/W2039241442","https://openalex.org/W2056414301","https://openalex.org/W2070768514","https://openalex.org/W2131652429","https://openalex.org/W2151549982","https://openalex.org/W2165256530","https://openalex.org/W4232277851"],"related_works":["https://openalex.org/W2365264209","https://openalex.org/W3161230432","https://openalex.org/W3008380943","https://openalex.org/W2115206405","https://openalex.org/W2509431957","https://openalex.org/W2026999166","https://openalex.org/W4387718383","https://openalex.org/W1528986568","https://openalex.org/W2500746363","https://openalex.org/W3020924181"],"abstract_inverted_index":{"Abstract":[0],"Say":[1],"that":[2],"an":[3,55],"incomplete":[4],"d.r.e.":[5],"degree":[6,31,47,73],"has":[7],"almost":[8],"universal":[9],"cupping":[10,39],"property,":[11],"if":[12],"it":[13,21],"cups":[14],"all":[15,34],"the":[16,35,76],"r.e.":[17,36,46],"degrees":[18,37],"not":[19,38],"below":[20,49],"to":[22,41,67],"0\u2032.":[23],"In":[24],"this":[25,60],"paper,":[26],"we":[27],"construct":[28],"such":[29],"a":[30],"d,":[32],"with":[33],"d":[40],"0\u2032":[42],"bounded":[43],"by":[44],"some":[45],"strictly":[48],"d.":[50],"The":[51],"construction":[52],"itself":[53],"is":[54],"interesting":[56],"0\u2033\u2032":[57],"argument":[58],"and":[59],"new":[61],"structural":[62],"property":[63],"can":[64],"be":[65],"used":[66],"study":[68],"final":[69],"segments":[70],"of":[71],"various":[72],"structures":[74],"in":[75],"Ershov":[77],"hierarchy.":[78]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
