{"id":"https://openalex.org/W2031667755","doi":"https://doi.org/10.2178/jsl/1208358743","title":"Omitting types for finite variable fragments and complete representations of algebras","display_name":"Omitting types for finite variable fragments and complete representations of algebras","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W2031667755","doi":"https://doi.org/10.2178/jsl/1208358743","mag":"2031667755"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1208358743","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1208358743","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/A5080876991","display_name":"Hajnal Andr\u00e9ka","orcid":"https://orcid.org/0000-0002-7327-4702"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Hajnal Andr\u00e9ka","raw_affiliation_strings":["Hungarian Academy of Sciences, Alfr\u00e9d R\u00e9nyi Institute of Mathematics, 13-15 Realtanoda U.. 1053 Budapest, Hungary, E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hungarian Academy of Sciences, Alfr\u00e9d R\u00e9nyi Institute of Mathematics, 13-15 Realtanoda U.. 1053 Budapest, Hungary, E-mail:","institution_ids":["https://openalex.org/I127817813"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003820161","display_name":"Istv\u00e0n N\u00e9meti","orcid":"https://orcid.org/0000-0003-3023-0192"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Istv\u00e1n N\u00e9meti","raw_affiliation_strings":["Hungarian Academy of Sciences, Alfr\u00e9d R\u00e9nyi Institute of Mathematics, 13-15 Realtanoda U.. 1053 Budapest, Hungary, E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hungarian Academy of Sciences, Alfr\u00e9d R\u00e9nyi Institute of Mathematics, 13-15 Realtanoda U.. 1053 Budapest, Hungary, E-mail:","institution_ids":["https://openalex.org/I127817813"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014040531","display_name":"Tarek Sayed Ahmed","orcid":"https://orcid.org/0000-0002-6095-6237"},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":false,"raw_author_name":"Tarek Sayed Ahmed","raw_affiliation_strings":["Cairo University, Department of Mathematics, Faculty of Science, Giza, Egypt, E-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cairo University, Department of Mathematics, Faculty of Science, Giza, Egypt, E-mail:","institution_ids":["https://openalex.org/I145487455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.053,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.96529507,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"73","issue":"1","first_page":"65","last_page":"89"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9991000294685364,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9991000294685364,"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":0.9961000084877014,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9955999851226807,"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/algebraic-logic","display_name":"Algebraic logic","score":0.7061830759048462},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6718407273292542},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.5846195220947266},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5181016325950623},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5092402696609497},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.49831414222717285},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4588404893875122},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4585722088813782},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4520088732242584},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.45051732659339905},{"id":"https://openalex.org/keywords/symbol","display_name":"Symbol (formal)","score":0.4395711421966553},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4287469685077667},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.42794692516326904},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3408583402633667},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15731731057167053},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12825509905815125}],"concepts":[{"id":"https://openalex.org/C86523455","wikidata":"https://www.wikidata.org/wiki/Q1005222","display_name":"Algebraic logic","level":3,"score":0.7061830759048462},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6718407273292542},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.5846195220947266},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5181016325950623},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5092402696609497},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.49831414222717285},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4588404893875122},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4585722088813782},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4520088732242584},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45051732659339905},{"id":"https://openalex.org/C134400042","wikidata":"https://www.wikidata.org/wiki/Q2372244","display_name":"Symbol (formal)","level":2,"score":0.4395711421966553},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4287469685077667},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.42794692516326904},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3408583402633667},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15731731057167053},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12825509905815125},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2178/jsl/1208358743","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1208358743","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/1208358743","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1208358743","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.150.3620","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.150.3620","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math-inst.hu/pub/algebraic-logic/OmitANSfinal.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W967339739","https://openalex.org/W1481249376","https://openalex.org/W1483892218","https://openalex.org/W1513501449","https://openalex.org/W1514829103","https://openalex.org/W1528931898","https://openalex.org/W1533515579","https://openalex.org/W1534361520","https://openalex.org/W1544936696","https://openalex.org/W1565183458","https://openalex.org/W1568406216","https://openalex.org/W1571614172","https://openalex.org/W1580101121","https://openalex.org/W1596120363","https://openalex.org/W1966591210","https://openalex.org/W1968351543","https://openalex.org/W1970210230","https://openalex.org/W1975647280","https://openalex.org/W1975692240","https://openalex.org/W1991981864","https://openalex.org/W1992205482","https://openalex.org/W2005985369","https://openalex.org/W2018944629","https://openalex.org/W2025979706","https://openalex.org/W2030879865","https://openalex.org/W2032543872","https://openalex.org/W2032892167","https://openalex.org/W2033274602","https://openalex.org/W2033831844","https://openalex.org/W2039635676","https://openalex.org/W2053885400","https://openalex.org/W2074105006","https://openalex.org/W2080847836","https://openalex.org/W2083081997","https://openalex.org/W2090344324","https://openalex.org/W2094894200","https://openalex.org/W2103236027","https://openalex.org/W2108163838","https://openalex.org/W2120627125","https://openalex.org/W2121944084","https://openalex.org/W2142326607","https://openalex.org/W2153036557","https://openalex.org/W2171216899","https://openalex.org/W2315064349","https://openalex.org/W2799061192","https://openalex.org/W3163471828","https://openalex.org/W4211034768","https://openalex.org/W4212821336","https://openalex.org/W4248037667","https://openalex.org/W4285719527","https://openalex.org/W6660326363"],"related_works":["https://openalex.org/W2389793738","https://openalex.org/W2376208682","https://openalex.org/W1576168316","https://openalex.org/W4294093643","https://openalex.org/W2162319107","https://openalex.org/W1573666807","https://openalex.org/W2160481396","https://openalex.org/W2170114248","https://openalex.org/W100816062","https://openalex.org/W3177102357"],"abstract_inverted_index":{"Abstract":[0],"We":[1,60,104],"give":[2],"a":[3,57,97,107],"novel":[4],"application":[5],"of":[6,30,49,79,88],"algebraic":[7,137],"logic":[8,82,138],"to":[9,64,110],"first":[10,80,140],"order":[11,81,141],"logic.":[12,142],"A":[13],"new,":[14],"flexible":[15],"construction":[16,63],"is":[17,91,115],"presented":[18],"for":[19,74,120],"representable":[20,24],"but":[21],"not":[22],"completely":[23],"atomic":[25,54],"relation":[26,99],"and":[27,46,94,139],"cylindric":[28,58],"algebras":[29],"dimension":[31],"n":[32,35,51,53],"(for":[33],"finite":[34,76,117],"&gt;":[36,92],"2)":[37],"with":[38],"the":[39,47,67,75,86,111,121,126,133],"additional":[40],"property":[41],"that":[42,66,113],"they":[43],"are":[44],"one-generated":[45],"set":[48],"all":[50],"by":[52],"matrices":[55],"forms":[56],"basis.":[59],"use":[61],"this":[62],"show":[65],"classical":[68],"Henkin-Orey":[69],"omitting":[70],"types":[71],"theorem":[72],"fails":[73],"variable":[77],"fragments":[78],"as":[83,85],"long":[84],"number":[87],"variables":[89,123],"available":[90],"2":[93],"we":[95],"have":[96],"binary":[98],"symbol":[100],"in":[101,125],"our":[102],"language.":[103],"also":[105],"prove":[106],"stronger":[108],"result":[109,130],"effect":[112],"there":[114],"no":[116],"upper":[118],"bound":[119],"extra":[122],"needed":[124],"witness":[127],"formulas.":[128],"This":[129],"further":[131],"emphasizes":[132],"ongoing":[134],"interplay":[135],"between":[136]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
