{"id":"https://openalex.org/W2095717848","doi":"https://doi.org/10.2307/2273902","title":"Alfred Tarski and undecidable theories","display_name":"Alfred Tarski and undecidable theories","publication_year":1986,"publication_date":"1986-12-01","ids":{"openalex":"https://openalex.org/W2095717848","doi":"https://doi.org/10.2307/2273902","mag":"2095717848"},"language":"en","primary_location":{"id":"doi:10.2307/2273902","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2273902","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/A5005130857","display_name":"George F. McNulty","orcid":null},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"George F. McNulty","raw_affiliation_strings":["Department of Mathematics, University Of South Carolina, Columbia, South Carolina 29208","Department of Mathematics; University of South Carolina; Columbia South Carolina 29208"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University Of South Carolina, Columbia, South Carolina 29208","institution_ids":["https://openalex.org/I155781252"]},{"raw_affiliation_string":"Department of Mathematics; University of South Carolina; Columbia South Carolina 29208","institution_ids":["https://openalex.org/I155781252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005130857"],"corresponding_institution_ids":["https://openalex.org/I155781252"],"apc_list":null,"apc_paid":null,"fwci":2.952,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.92405853,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"51","issue":"4","first_page":"890","last_page":"898"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9983000159263611,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9972000122070312,"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":0.992900013923645,"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/decidability","display_name":"Decidability","score":0.9440404772758484},{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.9260191917419434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6106598377227783},{"id":"https://openalex.org/keywords/rotation-formalisms-in-three-dimensions","display_name":"Rotation formalisms in three dimensions","score":0.5421427488327026},{"id":"https://openalex.org/keywords/principal","display_name":"Principal (computer security)","score":0.5128567218780518},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.469709575176239},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.44132474064826965},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42045828700065613},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4018799066543579},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.370780348777771},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25663453340530396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24408012628555298}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.9440404772758484},{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.9260191917419434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6106598377227783},{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.5421427488327026},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.5128567218780518},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.469709575176239},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.44132474064826965},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42045828700065613},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4018799066543579},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.370780348777771},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25663453340530396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24408012628555298},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"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:10.2307/2273902","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2273902","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:scholarcommons.sc.edu:math_facpub-1045","is_oa":false,"landing_page_url":"https://scholarcommons.sc.edu/math_facpub/61","pdf_url":null,"source":{"id":"https://openalex.org/S4306401386","display_name":"Scholar Commons (University of South Carolina)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I155781252","host_organization_name":"University of South Carolina","host_organization_lineage":["https://openalex.org/I155781252"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty Publications","raw_type":"text"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1183742228","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183742228","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":[{"id":"https://metadata.un.org/sdg/16","score":0.7799999713897705,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W630606573","https://openalex.org/W2004459113","https://openalex.org/W2016474213","https://openalex.org/W2020996881","https://openalex.org/W2031727412","https://openalex.org/W2044970453","https://openalex.org/W2051516180","https://openalex.org/W2068186238","https://openalex.org/W2073750688","https://openalex.org/W2078252586","https://openalex.org/W2079852767","https://openalex.org/W2081966716","https://openalex.org/W2323777246","https://openalex.org/W2333555861","https://openalex.org/W3145287507","https://openalex.org/W4245597824"],"related_works":["https://openalex.org/W2972379433","https://openalex.org/W1501430220","https://openalex.org/W2989332944","https://openalex.org/W2021891065","https://openalex.org/W2583549044","https://openalex.org/W2119045600","https://openalex.org/W2584984136","https://openalex.org/W2962928105","https://openalex.org/W2170336571","https://openalex.org/W2020140696"],"abstract_inverted_index":{"Alfred":[0],"Tarski":[1,40],"identified":[2],"decidability":[3,108],"within":[4],"various":[5,129],"logical":[6,211],"formalisms":[7],"as":[8,55],"one":[9],"of":[10,26,46,58,76,95,126,128,139,145,177,198,236,245,257],"the":[11,24,27,36,56,59,96,124,140,175,188,255],"principal":[12,181],"themes":[13],"for":[14],"investigation":[15],"in":[16,23,31,33,67,85,102,155,163,187,242],"mathematical":[17],"logic.":[18],"This":[19],"is":[20,184,201,206,220,228,253],"evident":[21],"already":[22],"focus":[25],"seminar":[28,61,98],"he":[29],"organized":[30],"Warsaw":[32,97],"1926.":[34],"Over":[35],"ensuing":[37],"fifty-five":[38],"years,":[39],"put":[41],"forth":[42],"a":[43,82,196,202,218,229,237,243],"steady":[44],"stream":[45],"theorems":[47],"concerning":[48],"decidability,":[49,68],"many":[50],"with":[51,87,148,208],"far-reaching":[52],"consequences.":[53],"Just":[54],"work":[57,106,147,186],"1926":[60],"reflected":[62],"Tarski's":[63,105,146,172,185],"profound":[64],"early":[65],"interest":[66],"so":[69],"does":[70],"his":[71],"last":[72],"work,":[73],"A":[74],"formalization":[75],"set":[77,197,256],"theory":[78,203,219,238,252],"without":[79],"variables":[80],",":[81],"monograph":[83],"written":[84],"collaboration":[86],"S.":[88],"Givant":[89],"[8\u2212":[90],"m":[91],"].":[92],"An":[93,143],"account":[94,144],"can":[99,152],"be":[100,135,153,240],"found":[101,154],"Vaught":[103,169],"[1986].":[104],"on":[107,225],"falls":[109],"into":[110],"four":[111],"broad":[112],"areas:":[113],"elementary":[114,119,150,199,264],"theories":[115,120,127,151],"which":[116,121],"are":[117,122,269],"decidable,":[118],"undecidable,":[123],"undecidability":[125],"restricted":[130,241],"kinds,":[131],"and":[132,157,162,213],"what":[133],"might":[134],"called":[136],"decision":[137],"problems":[138],"second":[141],"degree.":[142],"decidable":[149,221],"Doner":[156],"van":[158],"den":[159],"Dries":[160],"[1987]":[161],"Monk":[164],"[1986]":[165,170],"(for":[166],"Boolean":[167],"algebras).":[168],"discusses":[171],"contributions":[173],"to":[174,210,262],"method":[176],"quantifier":[178],"elimination.":[179],"Our":[180],"concern":[182],"here":[183],"remaining":[189],"three":[190],"areas.":[191],"We":[192],"will":[193,215],"say":[194,216],"that":[195,217],"sentences":[200],"provided":[204],"it":[205,227],"closed":[207],"respect":[209],"consequence":[212],"we":[214],"or":[222,231],"undecidable":[223],"depending":[224],"whether":[226],"recursive":[230],"nonrecursive":[232],"set.":[233],"The":[234],"notion":[235],"may":[239],"number":[244],"interesting":[246],"ways.":[247],"For":[248],"example,":[249],"an":[250],"equational":[251],"just":[254],"all":[258],"universal":[259],"sentences,":[260],"belonging":[261],"some":[263],"theory,":[265],"whose":[266],"quantifier-free":[267],"parts":[268],"equations":[270],"between":[271],"terms.":[272]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
