{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,31]],"date-time":"2025-12-31T16:26:33Z","timestamp":1767198393451,"version":"build-2238731810"},"reference-count":6,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":9689,"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1987,9]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>We give a completeness theorem for a logic with probability quantifiers which is equivalent to the logics described in a recent survey paper of Keisler [K]. This result improves on the completeness theorems in [K] in that it works for languages with function symbols and produces a model whose universe is an analytic subset of the real line, and whose relations and functions are Borel relative to this universe.<\/jats:p>","DOI":"10.2307\/2274366","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T18:22:39Z","timestamp":1146939759000},"page":"802-816","source":"Crossref","is-referenced-by-count":4,"title":["An analytic completeness theorem for logics with probability quantifiers"],"prefix":"10.1017","volume":"52","author":[{"given":"Douglas N.","family":"Hoover","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200029789_bib006","doi-asserted-by":"publisher","DOI":"10.2307\/1968536"},{"key":"S0022481200029789_bib005","first-page":"579","volume-title":"Model-theoretic logics","author":"Steinhorn","year":"1985"},{"key":"S0022481200029789_bib003","first-page":"605","volume":"47","author":"Hoover","year":"1982","journal-title":"A normal form theorem for L\u03c91P, with applications"},{"key":"S0022481200029789_bib002","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(78)90022-0"},{"key":"S0022481200029789_bib004","first-page":"509","volume-title":"Model-theoretic logics","author":"Keisler","year":"1985"},{"key":"S0022481200029789_bib001","doi-asserted-by":"publisher","DOI":"10.7146\/math.scand.a-11937"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200029789","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,22]],"date-time":"2023-03-22T06:38:06Z","timestamp":1679467086000},"score":1,"resource":{"primary":{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.cambridge.org\/core\/product\/identifier\/S0022481200029789\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1987,9]]},"references-count":6,"aliases":["10.1017\/s0022481200029789","10.1017\/s0022481200029789"],"journal-issue":{"issue":"3","published-print":{"date-parts":[[1987,9]]}},"alternative-id":["S0022481200029789"],"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.2307\/2274366","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1987,9]]}}}