{"id":"https://openalex.org/W2108163838","doi":"https://doi.org/10.2307/2270900","title":"Nonfinitizability of classes of representable cylindric algebras","display_name":"Nonfinitizability of classes of representable cylindric algebras","publication_year":1969,"publication_date":"1969-11-17","ids":{"openalex":"https://openalex.org/W2108163838","doi":"https://doi.org/10.2307/2270900","mag":"2108163838"},"language":"en","primary_location":{"id":"doi:10.2307/2270900","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2270900","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/A5004541937","display_name":"J. Donald Monk","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":true,"raw_author_name":"J. Donald Monk","raw_affiliation_strings":["University of Colorado and University of California, Berkeley"],"affiliations":[{"raw_affiliation_string":"University of Colorado and University of California, Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004541937"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":7.9914,"has_fulltext":false,"cited_by_count":98,"citation_normalized_percentile":{"value":0.97109517,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"34","issue":"3","first_page":"331","last_page":"343"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9976999759674072,"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":0.9976999759674072,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9976000189781189,"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":0.9944000244140625,"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/finitary","display_name":"Finitary","score":0.8967169523239136},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7445571422576904},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.5204846262931824},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.47663697600364685},{"id":"https://openalex.org/keywords/predicate-logic","display_name":"Predicate logic","score":0.47306501865386963},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.45905718207359314},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4341166317462921},{"id":"https://openalex.org/keywords/algebraic-logic","display_name":"Algebraic logic","score":0.4107666611671448},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.407867431640625},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33920446038246155},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13754934072494507},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.053205639123916626},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.05192342400550842}],"concepts":[{"id":"https://openalex.org/C2778003309","wikidata":"https://www.wikidata.org/wiki/Q5450381","display_name":"Finitary","level":2,"score":0.8967169523239136},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7445571422576904},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.5204846262931824},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.47663697600364685},{"id":"https://openalex.org/C19689857","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"Predicate logic","level":3,"score":0.47306501865386963},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.45905718207359314},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4341166317462921},{"id":"https://openalex.org/C86523455","wikidata":"https://www.wikidata.org/wiki/Q1005222","display_name":"Algebraic logic","level":3,"score":0.4107666611671448},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.407867431640625},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33920446038246155},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13754934072494507},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.053205639123916626},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.05192342400550842},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2270900","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2270900","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/1183736847","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183736847","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":10,"referenced_works":["https://openalex.org/W581751467","https://openalex.org/W2070636184","https://openalex.org/W2123058261","https://openalex.org/W2170810208","https://openalex.org/W2255032101","https://openalex.org/W2318194046","https://openalex.org/W3135943643","https://openalex.org/W4234491120","https://openalex.org/W4234671920","https://openalex.org/W6668297067"],"related_works":["https://openalex.org/W19518518","https://openalex.org/W1945403953","https://openalex.org/W4236259429","https://openalex.org/W2288835708","https://openalex.org/W2355149807","https://openalex.org/W2088869122","https://openalex.org/W2004906465","https://openalex.org/W2170114248","https://openalex.org/W1652051049","https://openalex.org/W938361001"],"abstract_inverted_index":{"Cylindric":[0],"algebras":[1,38,51],"were":[2],"introduced":[3],"by":[4],"Alfred":[5],"Tarski":[6,62],"about":[7],"1952":[8],"to":[9],"provide":[10],"an":[11],"algebraic":[12,56],"analysis":[13],"of":[14,39,58,73],"(first-order)":[15],"predicate":[16,32,44],"logic.":[17],"With":[18],"each":[19],"cylindric":[20,37,71],"algebra":[21,72],"one":[22],"can,":[23],"in":[24,29],"fact,":[25],"associate":[26],"a":[27],"certain,":[28],"general":[30],"infinitary,":[31],"logic;":[33],"for":[34],"locally":[35,69],"finite":[36,70],"infinite":[40,74],"dimension":[41,75],"the":[42,55,64],"associated":[43],"logics":[45],"are":[46],"finitary.":[47],"As":[48],"with":[49],"Boolean":[50],"and":[52],"sentential":[53],"logic,":[54],"counterpart":[57],"completeness":[59],"is":[60,76],"representability.":[61],"proved":[63],"fundamental":[65],"result":[66],"that":[67],"every":[68],"representable.":[77]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}