{"id":"https://openalex.org/W2076156443","doi":"https://doi.org/10.1007/s00153-004-0217-3","title":"Completeness theorem for propositional probabilistic models whose measures have only finite ranges","display_name":"Completeness theorem for propositional probabilistic models whose measures have only finite ranges","publication_year":2004,"publication_date":"2004-03-24","ids":{"openalex":"https://openalex.org/W2076156443","doi":"https://doi.org/10.1007/s00153-004-0217-3","mag":"2076156443"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-004-0217-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-004-0217-3","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical 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/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":false,"raw_author_name":"Radosav Dordevi\u0107","raw_affiliation_strings":["Prirodno-matemati\u010dki fakultet, R. Domanovi\u0107 a, 12, 34000, Kragujevac, Yugoslavia","Prirodno-matemati\u010dki fakultet"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Prirodno-matemati\u010dki fakultet, R. Domanovi\u0107 a, 12, 34000, Kragujevac, Yugoslavia","institution_ids":["https://openalex.org/I14245010"]},{"raw_affiliation_string":"Prirodno-matemati\u010dki fakultet","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057630815","display_name":"Miodrag Ra\u0161kovi\u0107","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Miodrag Ra\u0161kovi\u0107","raw_affiliation_strings":["U\u010diteljski fakultet, Narodnog fronta 43, 11000, Beograd, Yugoslavia","U\u010diteljski fakultet"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"U\u010diteljski fakultet, Narodnog fronta 43, 11000, Beograd, Yugoslavia","institution_ids":[]},{"raw_affiliation_string":"U\u010diteljski fakultet","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084703327","display_name":"Zoran Ognjanovi\u0107","orcid":"https://orcid.org/0000-0003-2508-6480"},"institutions":[{"id":"https://openalex.org/I4210125723","display_name":"Arheolo\u0161ki Institut","ror":"https://ror.org/03ajk1m02","country_code":"RS","type":"archive","lineage":["https://openalex.org/I4210125723"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Zoran Ognjanovi\u0107","raw_affiliation_strings":["Matemati\u010dki institut, Kneza Mihaila 35, 11000, Beograd, Yugoslavia","Matemati\u010dki institut"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Matemati\u010dki institut, Kneza Mihaila 35, 11000, Beograd, Yugoslavia","institution_ids":["https://openalex.org/I4210125723"]},{"raw_affiliation_string":"Matemati\u010dki institut","institution_ids":["https://openalex.org/I4210125723"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5084703327"],"corresponding_institution_ids":["https://openalex.org/I4210125723"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":2.7125,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.91373284,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"43","issue":"4","first_page":"557","last_page":"563"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9995999932289124,"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":0.9995999932289124,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9933000206947327,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9786999821662903,"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/mathematics","display_name":"Mathematics","score":0.7795282602310181},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.7573155164718628},{"id":"https://openalex.org/keywords/g\u00f6dels-completeness-theorem","display_name":"G\u00f6del's completeness theorem","score":0.7502934336662292},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.7408644556999207},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6752599477767944},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.644271194934845},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.6247437000274658},{"id":"https://openalex.org/keywords/well-formed-formula","display_name":"Well-formed formula","score":0.5719980001449585},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4990525245666504},{"id":"https://openalex.org/keywords/propositional-formula","display_name":"Propositional formula","score":0.4913753569126129},{"id":"https://openalex.org/keywords/autoepistemic-logic","display_name":"Autoepistemic logic","score":0.4447593092918396},{"id":"https://openalex.org/keywords/zeroth-order-logic","display_name":"Zeroth-order logic","score":0.4409412741661072},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3951287269592285},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.38367220759391785},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.3478788733482361},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19817307591438293},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11936721205711365},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.11095941066741943},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.09511059522628784},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06944745779037476},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.05842670798301697}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7795282602310181},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.7573155164718628},{"id":"https://openalex.org/C200116569","wikidata":"https://www.wikidata.org/wiki/Q902052","display_name":"G\u00f6del's completeness theorem","level":2,"score":0.7502934336662292},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.7408644556999207},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6752599477767944},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.644271194934845},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.6247437000274658},{"id":"https://openalex.org/C191222856","wikidata":"https://www.wikidata.org/wiki/Q655328","display_name":"Well-formed formula","level":5,"score":0.5719980001449585},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4990525245666504},{"id":"https://openalex.org/C74640108","wikidata":"https://www.wikidata.org/wiki/Q1372900","display_name":"Propositional formula","level":5,"score":0.4913753569126129},{"id":"https://openalex.org/C3845977","wikidata":"https://www.wikidata.org/wiki/Q4826262","display_name":"Autoepistemic logic","level":4,"score":0.4447593092918396},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.4409412741661072},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3951287269592285},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.38367220759391785},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.3478788733482361},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19817307591438293},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11936721205711365},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.11095941066741943},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.09511059522628784},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06944745779037476},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.05842670798301697},{"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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00153-004-0217-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-004-0217-3","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W40029885","https://openalex.org/W65053296","https://openalex.org/W126905340","https://openalex.org/W1990359916","https://openalex.org/W1999325584","https://openalex.org/W2000928325","https://openalex.org/W2062285040","https://openalex.org/W2134384958","https://openalex.org/W2169250070","https://openalex.org/W2914728526","https://openalex.org/W4233645044","https://openalex.org/W4293117209"],"related_works":["https://openalex.org/W4251854500","https://openalex.org/W2081976468","https://openalex.org/W3137333128","https://openalex.org/W2070878538","https://openalex.org/W2441642482","https://openalex.org/W2504237466","https://openalex.org/W4240749759","https://openalex.org/W849070015","https://openalex.org/W2285760602","https://openalex.org/W2308040267"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}