{"id":"https://openalex.org/W2156353169","doi":"https://doi.org/10.2178/jsl/1245158095","title":"Bounding non-GL<sub>2</sub> and R.E.A.","display_name":"Bounding non-GL<sub>2</sub> and R.E.A.","publication_year":2009,"publication_date":"2009-06-16","ids":{"openalex":"https://openalex.org/W2156353169","doi":"https://doi.org/10.2178/jsl/1245158095","mag":"2156353169"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1245158095","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1245158095","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/A5059289409","display_name":"Klaus Ambos\u2010Spies","orcid":"https://orcid.org/0000-0003-4898-7505"},"institutions":[{"id":"https://openalex.org/I223822909","display_name":"Heidelberg University","ror":"https://ror.org/038t36y30","country_code":"DE","type":"education","lineage":["https://openalex.org/I223822909"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Klaus Ambos-Spies","raw_affiliation_strings":["Institut f\u00fcr Informatik, University of Heidelberg, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany, E-mail:","Institut f\u00fcr Informatik, University of Heidelberg, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany, E-mail: ambos@math.uni-heidelberg.de"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, University of Heidelberg, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany, E-mail:","institution_ids":["https://openalex.org/I223822909"]},{"raw_affiliation_string":"Institut f\u00fcr Informatik, University of Heidelberg, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany, E-mail: ambos@math.uni-heidelberg.de","institution_ids":["https://openalex.org/I223822909"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110142822","display_name":"Decheng Ding","orcid":null},"institutions":[{"id":"https://openalex.org/I217203536","display_name":"Hankou University","ror":"https://ror.org/01rcq3q20","country_code":"CN","type":"education","lineage":["https://openalex.org/I217203536"]},{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Decheng Ding","raw_affiliation_strings":["Department of Mathematics, Nanjing University, 22 Hankou Road, Nanjing 210093, P.R., China, E-mail:","Department of Mathematics, Nanjing University, 22 Hankou Road, Nanjing 210093, P.R., China, E-mail: dcding@nju.edu.cn"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University, 22 Hankou Road, Nanjing 210093, P.R., China, E-mail:","institution_ids":["https://openalex.org/I217203536","https://openalex.org/I881766915"]},{"raw_affiliation_string":"Department of Mathematics, Nanjing University, 22 Hankou Road, Nanjing 210093, P.R., China, E-mail: dcding@nju.edu.cn","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100391896","display_name":"Wei Wang","orcid":"https://orcid.org/0000-0002-1717-5785"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]},{"id":"https://openalex.org/I217203536","display_name":"Hankou University","ror":"https://ror.org/01rcq3q20","country_code":"CN","type":"education","lineage":["https://openalex.org/I217203536"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Wang","raw_affiliation_strings":["Department of Mathematics, Nanjing University, 22 Hankou Road, Nanjing 210093, P.R., China, E-mail:","Department of Mathematics, Nanjing University, 22 Hankou Road, Nanjing 210093, P.R., China, E-mail: wwang.cn@gmail.com"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University, 22 Hankou Road, Nanjing 210093, P.R., China, E-mail:","institution_ids":["https://openalex.org/I217203536","https://openalex.org/I881766915"]},{"raw_affiliation_string":"Department of Mathematics, Nanjing University, 22 Hankou Road, Nanjing 210093, P.R., China, E-mail: wwang.cn@gmail.com","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102250598","display_name":"Liang Yu","orcid":"https://orcid.org/0000-0001-8079-4055"},"institutions":[{"id":"https://openalex.org/I217203536","display_name":"Hankou University","ror":"https://ror.org/01rcq3q20","country_code":"CN","type":"education","lineage":["https://openalex.org/I217203536"]},{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Yu","raw_affiliation_strings":["Department of Mathematics, Nanjing University, 22 Hankou Road, Nanjing 210093, P.R., China, E-mail:","Department of Mathematics, Nanjing University, 22 Hankou Road, Nanjing 210093, P.R., China, E-mail: yuliang.nju@gmail.com"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University, 22 Hankou Road, Nanjing 210093, P.R., China, E-mail:","institution_ids":["https://openalex.org/I217203536","https://openalex.org/I881766915"]},{"raw_affiliation_string":"Department of Mathematics, Nanjing University, 22 Hankou Road, Nanjing 210093, P.R., China, E-mail: yuliang.nju@gmail.com","institution_ids":["https://openalex.org/I881766915"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100391896"],"corresponding_institution_ids":["https://openalex.org/I217203536","https://openalex.org/I881766915"],"apc_list":null,"apc_paid":null,"fwci":3.1713,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.92084564,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"74","issue":"3","first_page":"989","last_page":"1000"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9961000084877014,"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":0.9731000065803528,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.8969943523406982},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.8888503313064575},{"id":"https://openalex.org/keywords/recursively-enumerable-language","display_name":"Recursively enumerable language","score":0.8024126887321472},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5366674661636353},{"id":"https://openalex.org/keywords/turing","display_name":"Turing","score":0.5002100467681885},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4534785747528076},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36459749937057495},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26653438806533813},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10998037457466125},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07021677494049072}],"concepts":[{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.8969943523406982},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.8888503313064575},{"id":"https://openalex.org/C203702658","wikidata":"https://www.wikidata.org/wiki/Q1073063","display_name":"Recursively enumerable language","level":2,"score":0.8024126887321472},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5366674661636353},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.5002100467681885},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4534785747528076},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36459749937057495},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26653438806533813},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10998037457466125},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07021677494049072},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2178/jsl/1245158095","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1245158095","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/1245158095","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1245158095","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W3932255","https://openalex.org/W1980268869","https://openalex.org/W2012525833","https://openalex.org/W2046729032","https://openalex.org/W2056414301","https://openalex.org/W2101746971","https://openalex.org/W2113021297","https://openalex.org/W2128292076","https://openalex.org/W2139507368","https://openalex.org/W2144268026","https://openalex.org/W2144999713","https://openalex.org/W2320833443","https://openalex.org/W2500837594","https://openalex.org/W4232277851","https://openalex.org/W4238965282"],"related_works":["https://openalex.org/W2132512348","https://openalex.org/W2072965782","https://openalex.org/W2140918173","https://openalex.org/W1992460182","https://openalex.org/W54673772","https://openalex.org/W798745779","https://openalex.org/W2078696977","https://openalex.org/W2142539551","https://openalex.org/W2007089758","https://openalex.org/W2039793369"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2],"that":[3],"every":[4],"Turing":[5],"degree":[6,13],"a":[7],"bounding":[8],"some":[9,21],"non-":[10],"GL":[11],"2":[12],"is":[14],"recursively":[15],"enumerable":[16],"in":[17],"and":[18],"above":[19],"(r.e.a.)":[20],"1-generic":[22],"degree.":[23]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2016-06-24T00:00:00"}