{"id":"https://openalex.org/W2078669210","doi":"https://doi.org/10.2178/jsl/1231082309","title":"Reverse mathematics, computability, and partitions of trees","display_name":"Reverse mathematics, computability, and partitions of trees","publication_year":2009,"publication_date":"2009-01-04","ids":{"openalex":"https://openalex.org/W2078669210","doi":"https://doi.org/10.2178/jsl/1231082309","mag":"2078669210"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1231082309","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1231082309","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/A5064172996","display_name":"Jennifer Chubb","orcid":"https://orcid.org/0000-0001-5754-6563"},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jennifer Chubb","raw_affiliation_strings":["The George Washington University, Department of Mathematics, 2115 G Street NW, Washington, Dc 20052, USA, E-mail:","The George Washington University, Department of Mathematics, 2115 G Street NW, Washington, Dc 20052, USA, E-mail: jchubb@gwu.edu, URL: http/home.gwu.edu~jchubb"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The George Washington University, Department of Mathematics, 2115 G Street NW, Washington, Dc 20052, USA, E-mail:","institution_ids":["https://openalex.org/I193531525"]},{"raw_affiliation_string":"The George Washington University, Department of Mathematics, 2115 G Street NW, Washington, Dc 20052, USA, E-mail: jchubb@gwu.edu, URL: http/home.gwu.edu~jchubb","institution_ids":["https://openalex.org/I193531525"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064590936","display_name":"Jeffry L. Hirst","orcid":"https://orcid.org/0000-0002-8273-8951"},"institutions":[{"id":"https://openalex.org/I430192","display_name":"Appalachian State University","ror":"https://ror.org/051m4vc48","country_code":"US","type":"education","lineage":["https://openalex.org/I430192"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jeffry L. Hirst","raw_affiliation_strings":["Appalachian State University, Department of Mathematical Sciences, Boone, Nc 28608, USA, E-mail:","Appalachian State University, Department of Mathematical Sciences, Boone, Nc 28608, USA, E-mail: jlh@math.appstate.edu, URL: www.mathsci.appstate.edu~jlh"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Appalachian State University, Department of Mathematical Sciences, Boone, Nc 28608, USA, E-mail:","institution_ids":["https://openalex.org/I430192"]},{"raw_affiliation_string":"Appalachian State University, Department of Mathematical Sciences, Boone, Nc 28608, USA, E-mail: jlh@math.appstate.edu, URL: www.mathsci.appstate.edu~jlh","institution_ids":["https://openalex.org/I430192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057460107","display_name":"Timothy H. McNicholl","orcid":"https://orcid.org/0000-0001-8334-4367"},"institutions":[{"id":"https://openalex.org/I177898655","display_name":"Lamar University","ror":"https://ror.org/008ms5s18","country_code":"US","type":"education","lineage":["https://openalex.org/I177898655"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Timothy H. McNicholl","raw_affiliation_strings":["Lamar University, Department of Mathematics, 200 Lucas Building, Beaumont, Tx 77710, USA, E-mail:","Lamar University, Department of Mathematics, 200 Lucas Building, Beaumont, Tx 77710, USA, E-mail: mcnichollth@my.lamar.eduURL: www.math.lamar.edu/faculty/mcnicholl/mcnicholl.asp"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lamar University, Department of Mathematics, 200 Lucas Building, Beaumont, Tx 77710, USA, E-mail:","institution_ids":["https://openalex.org/I177898655"]},{"raw_affiliation_string":"Lamar University, Department of Mathematics, 200 Lucas Building, Beaumont, Tx 77710, USA, E-mail: mcnichollth@my.lamar.eduURL: www.math.lamar.edu/faculty/mcnicholl/mcnicholl.asp","institution_ids":["https://openalex.org/I177898655"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8996,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.90594648,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"74","issue":"1","first_page":"201","last_page":"215"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9988999962806702,"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/computability","display_name":"Computability","score":0.8793929815292358},{"id":"https://openalex.org/keywords/reverse-mathematics","display_name":"Reverse mathematics","score":0.6512480974197388},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.6433769464492798},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6046581268310547},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5096018314361572},{"id":"https://openalex.org/keywords/tuple","display_name":"Tuple","score":0.5080697536468506},{"id":"https://openalex.org/keywords/computability-theory","display_name":"Computability theory","score":0.5063735246658325},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5049410462379456},{"id":"https://openalex.org/keywords/ramsey-theory","display_name":"Ramsey theory","score":0.45699378848075867},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.42395684123039246},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3672490119934082},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.2986907362937927},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.153389573097229}],"concepts":[{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.8793929815292358},{"id":"https://openalex.org/C127753061","wikidata":"https://www.wikidata.org/wiki/Q2005236","display_name":"Reverse mathematics","level":3,"score":0.6512480974197388},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.6433769464492798},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6046581268310547},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5096018314361572},{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.5080697536468506},{"id":"https://openalex.org/C111142201","wikidata":"https://www.wikidata.org/wiki/Q818930","display_name":"Computability theory","level":2,"score":0.5063735246658325},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5049410462379456},{"id":"https://openalex.org/C112291201","wikidata":"https://www.wikidata.org/wiki/Q1336170","display_name":"Ramsey theory","level":2,"score":0.45699378848075867},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.42395684123039246},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3672490119934082},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.2986907362937927},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.153389573097229},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2178/jsl/1231082309","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1231082309","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:repository.usfca.edu:math-1001","is_oa":false,"landing_page_url":"https://repository.usfca.edu/math/4","pdf_url":null,"source":{"id":"https://openalex.org/S4377196440","display_name":"USF Scholarship Repository (University of San Francisco)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I76766440","host_organization_name":"University of San Francisco","host_organization_lineage":["https://openalex.org/I76766440"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics","raw_type":"text"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1231082309","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1231082309","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":11,"referenced_works":["https://openalex.org/W1554860413","https://openalex.org/W1556453281","https://openalex.org/W2016227329","https://openalex.org/W2073797527","https://openalex.org/W2098665349","https://openalex.org/W2131443763","https://openalex.org/W2148962283","https://openalex.org/W2530006810","https://openalex.org/W2905135108","https://openalex.org/W4246804796","https://openalex.org/W6828398953"],"related_works":["https://openalex.org/W643812077","https://openalex.org/W2519278145","https://openalex.org/W582328946","https://openalex.org/W4221167692","https://openalex.org/W4225581716","https://openalex.org/W2078669210","https://openalex.org/W3112919633","https://openalex.org/W2534696914","https://openalex.org/W2582449216","https://openalex.org/W2504921757"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"examine":[2],"the":[3,17],"reverse":[4],"mathematics":[5],"and":[6],"computability":[7],"theory":[8],"of":[9,12,21],"a":[10,22],"form":[11],"Ramsey's":[13],"theorem":[14],"in":[15],"which":[16],"linear":[18],"n":[19],"-tuples":[20],"binary":[23],"tree":[24],"are":[25],"colored.":[26]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}