{"id":"https://openalex.org/W2802625350","doi":"https://doi.org/10.1002/malq.201500092","title":"On the finite axiomatizability of","display_name":"On the finite axiomatizability of","publication_year":2018,"publication_date":"2018-04-01","ids":{"openalex":"https://openalex.org/W2802625350","doi":"https://doi.org/10.1002/malq.201500092","mag":"2802625350"},"language":"en","primary_location":{"id":"doi:10.1002/malq.201500092","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201500092","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5077536245","display_name":"Chris Pollett","orcid":null},"institutions":[{"id":"https://openalex.org/I51504820","display_name":"San Jose State University","ror":"https://ror.org/04qyvz380","country_code":"US","type":"education","lineage":["https://openalex.org/I51504820"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chris Pollett","raw_affiliation_strings":["Department of Computer Science San Jose State University 214 MacQuarrie Hall, 1 Washington Square San Jose CA 95192 United States of America","Department of Computer Science, San Jose State University, 214 MacQuarrie Hall, 1 Washington Square, San Jose, CA, 95192 United States of America"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science San Jose State University 214 MacQuarrie Hall, 1 Washington Square San Jose CA 95192 United States of America","institution_ids":["https://openalex.org/I51504820"]},{"raw_affiliation_string":"Department of Computer Science, San Jose State University, 214 MacQuarrie Hall, 1 Washington Square, San Jose, CA, 95192 United States of America","institution_ids":["https://openalex.org/I51504820"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077536245"],"corresponding_institution_ids":["https://openalex.org/I51504820"],"apc_list":{"value":2900,"currency":"USD","value_usd":2900},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08732394,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"64","issue":"1-2","first_page":"6","last_page":"24"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9994999766349792,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9994999766349792,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9987999796867371,"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"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.998199999332428,"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/hierarchy","display_name":"Hierarchy","score":0.8015992045402527},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7663999795913696},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6219807267189026},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3922174870967865},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35422295331954956},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3521839380264282}],"concepts":[{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.8015992045402527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7663999795913696},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6219807267189026},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3922174870967865},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35422295331954956},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3521839380264282},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.201500092","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201500092","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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":22,"referenced_works":["https://openalex.org/W169256259","https://openalex.org/W1537230380","https://openalex.org/W1572451808","https://openalex.org/W1878525587","https://openalex.org/W2005505967","https://openalex.org/W2015895898","https://openalex.org/W2024677584","https://openalex.org/W2036651904","https://openalex.org/W2040404640","https://openalex.org/W2071204190","https://openalex.org/W2126270200","https://openalex.org/W2133313069","https://openalex.org/W2142716986","https://openalex.org/W2160804094","https://openalex.org/W2161149481","https://openalex.org/W2163512254","https://openalex.org/W2164017389","https://openalex.org/W2341717488","https://openalex.org/W2578342583","https://openalex.org/W2603797972","https://openalex.org/W2609995680","https://openalex.org/W4388289548"],"related_works":["https://openalex.org/W2365264209","https://openalex.org/W2509431957","https://openalex.org/W2026999166","https://openalex.org/W1599954583","https://openalex.org/W1992685502","https://openalex.org/W4211007821","https://openalex.org/W2802395037","https://openalex.org/W4389565704","https://openalex.org/W1996802783","https://openalex.org/W3013085049"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"question":[2,18,33],"of":[3,19,34,39,52,55,69,81,85,126],"whether":[4,20,35],"the":[5,16,30,36,53,67,82,111,140],"bounded":[6],"arithmetic":[7],"theories":[8],"and":[9,56,70,86,96,106],"are":[10],"equal":[11,22,43],"is":[12,21,42,93,99],"closely":[13],"connected":[14],"to":[15,23,44,76,87,138],"complexity":[17],".":[24,45,57,71,109,143],"In":[25],"this":[26],"paper,":[27],"we":[28,114],"examine":[29],"still":[31],"open":[32],"prenex":[37],"version":[38],",":[40,41,104],"We":[46,72,128],"give":[47,62,77,129],"new":[48,63,89],"dependent":[49,59],"choice\u2010based":[50],"axiomatizations":[51,61,75],"\u2010consequences":[54,68],"Our":[58],"choice":[60],"normal":[64],"forms":[65],"for":[66,119,142],"use":[73],"these":[74],"an":[78],"alternative":[79],"proof":[80],"finite":[83],"axiomatizability":[84],"show":[88,115],"results":[90],"such":[91],"as":[92],"finitely":[94,101],"axiomatized":[95,102],"that":[97,116,133],"there":[98],"a":[100,122,130],"theory,":[103],"containing":[105],"contained":[107],"in":[108],"On":[110],"other":[112],"hand,":[113],"our":[117,136],"theory":[118],"splits":[120],"into":[121],"natural":[123],"infinite":[124],"hierarchy":[125,141],"theories.":[127],"diagonalization":[131],"result":[132],"stems":[134],"from":[135],"attempts":[137],"separate":[139]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}