{"id":"https://openalex.org/W1524267671","doi":"https://doi.org/10.3233/com-12013","title":"Computably Enumerable Partial Orders","display_name":"Computably Enumerable Partial Orders","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1524267671","doi":"https://doi.org/10.3233/com-12013","mag":"1524267671"},"language":"en","primary_location":{"id":"doi:10.3233/com-12013","is_oa":false,"landing_page_url":"https://doi.org/10.3233/com-12013","pdf_url":null,"source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","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/A5062882161","display_name":"Peter Cholak","orcid":null},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter A. Cholak","raw_affiliation_strings":["Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556 U.S.A. cholak@nd.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556 U.S.A. cholak@nd.edu","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027589956","display_name":"Damir D. Dzhafarov","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Damir D. Dzhafarov","raw_affiliation_strings":["Department of Mathematics, University of California, Berkeley, Berkeley, California 94720 U.S.A. damir@math.berkeley.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Berkeley, Berkeley, California 94720 U.S.A. damir@math.berkeley.edu","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048208997","display_name":"Noah Schweber","orcid":"https://orcid.org/0000-0001-5631-615X"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Noah Schweber","raw_affiliation_strings":["Department of Mathematics, University of California, Berkeley, Berkeley, California 94720 U.S.A. schweber@math.berkeley.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Berkeley, Berkeley, California 94720 U.S.A. schweber@math.berkeley.edu","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041739806","display_name":"Richard A. Shore","orcid":"https://orcid.org/0000-0003-0381-5259"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard A. Shore","raw_affiliation_strings":["Department of Mathematics, Cornell University, Ithaca, NY 14853 U.S.A. shore@math.cornell.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Cornell University, Ithaca, NY 14853 U.S.A. shore@math.cornell.edu","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6946,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.6919366,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":"2","first_page":"99","last_page":"107"},"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":0.9652000069618225,"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":0.9627000093460083,"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/recursively-enumerable-language","display_name":"Recursively enumerable language","score":0.5067723393440247},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4404904246330261},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3538774847984314},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26772943139076233}],"concepts":[{"id":"https://openalex.org/C203702658","wikidata":"https://www.wikidata.org/wiki/Q1073063","display_name":"Recursively enumerable language","level":2,"score":0.5067723393440247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4404904246330261},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3538774847984314},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26772943139076233}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/com-12013","is_oa":false,"landing_page_url":"https://doi.org/10.3233/com-12013","pdf_url":null,"source":{"id":"https://openalex.org/S4210231662","display_name":"Computability","issn_l":"2211-3568","issn":["2211-3568","2211-3576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computability","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":14,"referenced_works":["https://openalex.org/W1556453281","https://openalex.org/W1571286435","https://openalex.org/W1684033657","https://openalex.org/W1963812473","https://openalex.org/W1982821787","https://openalex.org/W1989224212","https://openalex.org/W1996816738","https://openalex.org/W2028592975","https://openalex.org/W2037469541","https://openalex.org/W2056414301","https://openalex.org/W2111205855","https://openalex.org/W2143617550","https://openalex.org/W2144268026","https://openalex.org/W2146750910"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","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/W798745779","https://openalex.org/W2328267232"],"abstract_inverted_index":{"We":[0,16],"study":[1],"the":[2,20],"degree":[3],"spectra":[4],"and":[5,11,23],"reverse-mathematical":[6],"applications":[7],"of":[8,19],"computably":[9],"enumerable":[10,13],"co-computably":[12],"partial":[14],"orders.":[15],"formulate":[17],"versions":[18],"chain/antichain":[21],"principle":[22,26],"ascending/descending":[24],"sequence":[25],"for":[27],"such":[28],"orders":[29]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}