{"id":"https://openalex.org/W1993203911","doi":"https://doi.org/10.1002/malq.19920380119","title":"ANALYTIC COMPLETENESS THEOREM FOR ABSOLUTELY CONTINUOUS BIPROBABILITY MODELS","display_name":"ANALYTIC COMPLETENESS THEOREM FOR ABSOLUTELY CONTINUOUS BIPROBABILITY MODELS","publication_year":1992,"publication_date":"1992-01-01","ids":{"openalex":"https://openalex.org/W1993203911","doi":"https://doi.org/10.1002/malq.19920380119","mag":"1993203911"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19920380119","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19920380119","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/A5088641691","display_name":"Radosav. S. \u0110or\u0110evi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I14245010","display_name":"University of Kragujevac","ror":"https://ror.org/04f7vj627","country_code":"RS","type":"education","lineage":["https://openalex.org/I14245010"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Radosav S. \u0110or\u0111evi\u0107","raw_affiliation_strings":["Prirodno-matematic\u030cki fakultet Radoja Domanovic\u030ca 12 YU-34000 Kragujevac Yugoslavia","Prirodno\u2010matemati\u010dki fakultet Radoja Domanovi\u010da 12 YU\u201034000 Kragujevac Yugoslavia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Prirodno-matematic\u030cki fakultet Radoja Domanovic\u030ca 12 YU-34000 Kragujevac Yugoslavia","institution_ids":["https://openalex.org/I14245010"]},{"raw_affiliation_string":"Prirodno\u2010matemati\u010dki fakultet Radoja Domanovi\u010da 12 YU\u201034000 Kragujevac Yugoslavia","institution_ids":["https://openalex.org/I14245010"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5088641691"],"corresponding_institution_ids":["https://openalex.org/I14245010"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.5552,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72439291,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"38","issue":"1","first_page":"241","last_page":"246"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9763000011444092,"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":0.9763000011444092,"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/T10991","display_name":"Game Theory and Voting Systems","score":0.9659000039100647,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.949400007724762,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.834709882736206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.77699214220047},{"id":"https://openalex.org/keywords/g\u00f6dels-completeness-theorem","display_name":"G\u00f6del's completeness theorem","score":0.7724486589431763},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.6120707988739014},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5960240364074707},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.542150616645813},{"id":"https://openalex.org/keywords/absolute-continuity","display_name":"Absolute continuity","score":0.43351441621780396},{"id":"https://openalex.org/keywords/model-theory","display_name":"Model theory","score":0.428567111492157},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.417039155960083},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.38309258222579956},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3436241149902344},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13727611303329468}],"concepts":[{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.834709882736206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.77699214220047},{"id":"https://openalex.org/C200116569","wikidata":"https://www.wikidata.org/wiki/Q902052","display_name":"G\u00f6del's completeness theorem","level":2,"score":0.7724486589431763},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.6120707988739014},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5960240364074707},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.542150616645813},{"id":"https://openalex.org/C118733216","wikidata":"https://www.wikidata.org/wiki/Q332504","display_name":"Absolute continuity","level":2,"score":0.43351441621780396},{"id":"https://openalex.org/C47030870","wikidata":"https://www.wikidata.org/wiki/Q467606","display_name":"Model theory","level":2,"score":0.428567111492157},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.417039155960083},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.38309258222579956},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3436241149902344},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13727611303329468},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.19920380119","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19920380119","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W40029885","https://openalex.org/W251225716","https://openalex.org/W1994701759","https://openalex.org/W2134384958","https://openalex.org/W4237616102","https://openalex.org/W4293117209"],"related_works":["https://openalex.org/W639668199","https://openalex.org/W4247031350","https://openalex.org/W2131524578","https://openalex.org/W2134384958","https://openalex.org/W1993203911","https://openalex.org/W4256444464","https://openalex.org/W2048357263","https://openalex.org/W2099426626","https://openalex.org/W2114187021","https://openalex.org/W11211850"],"abstract_inverted_index":{"Abstract":[0],"Hoover":[1],"[2]":[2],"proved":[3],"a":[4,19,31,48],"completeness":[5,21],"theorem":[6,22],"for":[7,30],"the":[8,65],"logic":[9,32],"L(\u222b)\ud835\udc9c.":[10],"The":[11],"aim":[12],"of":[13,67],"this":[14],"paper":[15],"is":[16,47,77,90],"to":[17,25],"prove":[18],"similar":[20],"with":[23,39,64],"respect":[24],"product":[26],"measurable":[27],"biprobability":[28,82],"models":[29],"L(\u222b":[33,68],"1":[34,50,69],",":[35,70,74],"\u222b":[36,71],"2":[37,72],")":[38,73],"two":[40],"integral":[41],"operators.":[42],"We":[43],"prove:":[44],"If":[45],"T":[46,89],"\u2211":[49],"definable":[51],"theory":[52],"on":[53],"\ud835\udc9c":[54],"(a":[55],"countable":[56],"admissible":[57],"set":[58],"and":[59,62],"\u03c9":[60],"\u2208)":[61],"consistent":[63],"axioms":[66],"then":[75],"there":[76],"an":[78],"analytic":[79],"absolutely":[80],"continuous":[81],"model":[83],"in":[84,88],"which":[85],"every":[86],"sentence":[87],"satified.":[91]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
