{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T12:00:08Z","timestamp":1759147208331},"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":4210,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2002,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Let<jats:italic>T<\/jats:italic>be a model-complete theory that eliminates the quantifier \u2203<jats:sup>\u221e<\/jats:sup><jats:italic>x<\/jats:italic>For<jats:italic>T<\/jats:italic>we construct a theory<jats:italic>T<\/jats:italic><jats:sup>+<\/jats:sup>such that any element in a model of<jats:italic>T<\/jats:italic><jats:sup>+<\/jats:sup>determines a model of<jats:italic>T<\/jats:italic>. We show that<jats:italic>T<\/jats:italic><jats:sup>+<\/jats:sup>has a model companion<jats:italic>T<\/jats:italic><jats:sup>1<\/jats:sup>. We can iterate the construction. The produced theories are investigated.<\/jats:p>","DOI":"10.2178\/jsl\/1190150146","type":"journal-article","created":{"date-parts":[[2007,12,13]],"date-time":"2007-12-13T19:14:26Z","timestamp":1197573266000},"page":"1025-1038","source":"Crossref","is-referenced-by-count":5,"title":["Generic variations of models of<i>T<\/i>"],"prefix":"10.1017","volume":"67","author":[{"given":"Andreas","family":"Baudisch","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200009397_ref003","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511551574"},{"key":"S0022481200009397_ref001","first-page":"1","article-title":"Uncountable n-cubes in models of \u21350-categorical theories","volume":"27","author":"Baudisch","year":"1979","journal-title":"Bulletin de l'Acad\u00e9mie Polonaise des Sciences, S\u00e9rie des Sciences Math\u00e9matiques"},{"key":"S0022481200009397_ref002","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-0072(98)00021-9"},{"key":"S0022481200009397_ref004","volume-title":"Model Theory","author":"Rothmaler","year":"2000"},{"key":"S0022481200009397_ref005","volume-title":"Classification theory and the number of non-isomorphic models","author":"Shelah","year":"1990"},{"key":"S0022481200009397_ref006","doi-asserted-by":"crossref","first-page":"408","DOI":"10.1007\/BFb0080988","volume-title":"Model-completeness and Skolem Expansions, Model Theory and Algebra, A Memorial Tribute to Abraham Robinson","volume":"498","author":"Winkler","year":"1975"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200009397","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,29]],"date-time":"2020-04-29T11:45:35Z","timestamp":1588160735000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200009397\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,9]]},"references-count":6,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2002,9]]}},"alternative-id":["S0022481200009397"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1190150146","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,9]]}}}