{"id":"https://openalex.org/W1504640313","doi":"https://doi.org/10.2178/jsl/1174668397","title":"Bounding homogenous models","display_name":"Bounding homogenous models","publication_year":2007,"publication_date":"2007-03-01","ids":{"openalex":"https://openalex.org/W1504640313","doi":"https://doi.org/10.2178/jsl/1174668397","mag":"1504640313"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1174668397","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1174668397","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":"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/A5061005365","display_name":"Barbara F. Csima","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Barbara F. Csima","raw_affiliation_strings":["Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada. E-mail:","(University of Waterloo)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada. E-mail:","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"(University of Waterloo)","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071875842","display_name":"Valentina Harizanov","orcid":"https://orcid.org/0000-0002-6626-5074"},"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":"Valentina S. Harizanov","raw_affiliation_strings":["Department of Mathematics, The George Washington University, Washington, D.C. 20052, USA. E-mail:","george Washington University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The George Washington University, Washington, D.C. 20052, USA. E-mail:","institution_ids":["https://openalex.org/I193531525"]},{"raw_affiliation_string":"george Washington University","institution_ids":["https://openalex.org/I193531525"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015485533","display_name":"Denis R. Hirschfeldt","orcid":null},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Denis R. Hirschfeldt","raw_affiliation_strings":["Department of Mathematics, The University of Chicago, Chicago, Illinois 60637, USA. E-mail:","University-of Chicago"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Chicago, Chicago, Illinois 60637, USA. E-mail:","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"University-of Chicago","institution_ids":["https://openalex.org/I40347166"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023422267","display_name":"Robert I. Soare","orcid":null},"institutions":[{"id":"https://openalex.org/I40347166","display_name":"University of Chicago","ror":"https://ror.org/024mw5h28","country_code":"US","type":"education","lineage":["https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert I. Soare","raw_affiliation_strings":["Department of Mathematics, The University of Chicago, Chicago, Illinois 60637, USA. E-mail:","University-of Chicago"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The University of Chicago, Chicago, Illinois 60637, USA. E-mail:","institution_ids":["https://openalex.org/I40347166"]},{"raw_affiliation_string":"University-of Chicago","institution_ids":["https://openalex.org/I40347166"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4729,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.80810932,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"72","issue":"1","first_page":"305","last_page":"323"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":1.0,"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":1.0,"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":0.9943000078201294,"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":0.9872999787330627,"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/degree","display_name":"Degree (music)","score":0.8835800886154175},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.7505234479904175},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.7500161528587341},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.7356208562850952},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6558177471160889},{"id":"https://openalex.org/keywords/peano-axioms","display_name":"Peano axioms","score":0.5698965787887573},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5546224117279053},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4747600853443146},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4689734876155853},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1989109218120575},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13280215859413147},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07332167029380798}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.8835800886154175},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7505234479904175},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.7500161528587341},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.7356208562850952},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6558177471160889},{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.5698965787887573},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5546224117279053},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4747600853443146},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4689734876155853},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1989109218120575},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13280215859413147},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07332167029380798},{"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/1174668397","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1174668397","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":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1174668397","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1174668397","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":38,"referenced_works":["https://openalex.org/W9167880","https://openalex.org/W1499179478","https://openalex.org/W1511682313","https://openalex.org/W1548773247","https://openalex.org/W1554860413","https://openalex.org/W1556453281","https://openalex.org/W1561005717","https://openalex.org/W1566235828","https://openalex.org/W1978521098","https://openalex.org/W1982321417","https://openalex.org/W1982821787","https://openalex.org/W1987148015","https://openalex.org/W1987762167","https://openalex.org/W1989985469","https://openalex.org/W2007915800","https://openalex.org/W2022558727","https://openalex.org/W2034579698","https://openalex.org/W2055585831","https://openalex.org/W2056414301","https://openalex.org/W2065230732","https://openalex.org/W2067702126","https://openalex.org/W2077565563","https://openalex.org/W2084068730","https://openalex.org/W2086027672","https://openalex.org/W2097507397","https://openalex.org/W2132364243","https://openalex.org/W2134024760","https://openalex.org/W2146750910","https://openalex.org/W2156724103","https://openalex.org/W2334508319","https://openalex.org/W2799061192","https://openalex.org/W2969873114","https://openalex.org/W3187762542","https://openalex.org/W4231125794","https://openalex.org/W4232277851","https://openalex.org/W4246804796","https://openalex.org/W6669822379","https://openalex.org/W6828398953"],"related_works":["https://openalex.org/W171744056","https://openalex.org/W1577881803","https://openalex.org/W2115117868","https://openalex.org/W3136886172","https://openalex.org/W4301007153","https://openalex.org/W2303556051","https://openalex.org/W968826431","https://openalex.org/W4390013774","https://openalex.org/W2085902896","https://openalex.org/W3042647161"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"Turing":[2],"degree":[3,30,44,47,64],"d":[4,16,31],"is":[5,55,65,73,84],"homogeneous":[6,18,56,66,93],"bounding":[7,67],"if":[8,68,71],"every":[9,42,46,92],"complete":[10,50],"decidable":[11],"(CD)":[12],"theory":[13,88],"has":[14,29,97],"a":[15,49,63,74,85,98],"-decidable":[17],"model":[19,94],",":[20],"i.e.,":[21],"the":[22],"elementary":[23],"diagram":[24],"D":[25],"e":[26],"(":[27],")":[28],".":[32],"It":[33],"follows":[34],"from":[35],"results":[36],"of":[37,48,52,95],"Macintyre":[38],"and":[39,69],"Marker":[40],"that":[41,60,82,91],"PA":[43,75,99],"(i.e.,":[45],"extension":[51],"Peano":[53],"Arithmetic)":[54],"bounding.":[57],"We":[58,77],"prove":[59],"in":[61],"fact":[62],"only":[70],"it":[72],"degree.":[76,100],"do":[78],"this":[79],"by":[80],"showing":[81],"there":[83],"single":[86],"CD":[87],"T":[89,96],"such":[90]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}