{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,9,28]],"date-time":"2023-09-28T15:40:32Z","timestamp":1695915632605},"reference-count":4,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":5430,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1992,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Hoover [2] proved a completeness theorem for the logic L(\u222b)\ud835\udc9c. The aim of this paper is to prove a similar completeness theorem with respect to product measurable biprobability models for a logic L(\u222b<jats:sub>1<\/jats:sub>, \u222b<jats:sub>2<\/jats:sub>)<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/tex2gif-stack-1.gif\" xlink:title=\"urn:x-wiley:09425616:media:MALQ19920380119:tex2gif-stack-1\" \/> with two integral operators. We prove: If <jats:italic>T<\/jats:italic> is a \u2211<jats:sub>1<\/jats:sub> definable theory on \ud835\udc9c (a countable admissible set and \u03c9 \u2208) and consistent with the axioms of L(\u222b<jats:sub>1<\/jats:sub>, \u222b<jats:sub>2<\/jats:sub>)<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/tex2gif-stack-2.gif\" xlink:title=\"urn:x-wiley:09425616:media:MALQ19920380119:tex2gif-stack-2\" \/>, then there is an analytic absolutely continuous biprobability model in which every sentence in <jats:italic>T<\/jats:italic> is satified.<\/jats:p>","DOI":"10.1002\/malq.19920380119","type":"journal-article","created":{"date-parts":[[2007,5,29]],"date-time":"2007-05-29T05:44:43Z","timestamp":1180417483000},"page":"241-246","source":"Crossref","is-referenced-by-count":3,"title":["ANALYTIC COMPLETENESS THEOREM FOR ABSOLUTELY CONTINUOUS BIPROBABILITY MODELS"],"prefix":"10.1002","volume":"38","author":[{"given":"Radosav S.","family":"\u0110or\u0111evi\u0107","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-11035-5"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.2307\/2274366"},{"key":"e_1_2_1_4_2","first-page":"509","volume-title":"Model Theoretic Logics","author":"Keisler H. J.","year":"1985"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.2307\/2274015"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19920380119","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19920380119","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,9,27]],"date-time":"2023-09-27T20:36:06Z","timestamp":1695846966000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19920380119"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,1]]},"references-count":4,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1992,1]]}},"alternative-id":["10.1002\/malq.19920380119"],"URL":"https:\/\/doi.org\/10.1002\/malq.19920380119","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,1]]}}}