{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T09:57:30Z","timestamp":1772445450624,"version":"3.50.1"},"reference-count":7,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":649,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[2012,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this paper, using definability of types over indiscernible sequences as a template, we study a property of formulas and theories called \u201cuniform definability of types over finite sets\u201d (UDTFS). We explore UDTFS and show how it relates to well-known properties in model theory. We recall that stable theories and weakly o-minimal theories have UDTFS and UDTFS implies dependence. We then show that all dp-minimal theories have UDTFS.<\/jats:p>","DOI":"10.2178\/jsl\/1333566634","type":"journal-article","created":{"date-parts":[[2012,4,4]],"date-time":"2012-04-04T19:26:53Z","timestamp":1333567613000},"page":"499-514","source":"Crossref","is-referenced-by-count":13,"title":["On uniform definability of types over finite sets"],"prefix":"10.1017","volume":"77","author":[{"given":"Vincent","family":"Guingona","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200000700_ref005","first-page":"737","volume":"76","author":"Onshuus","year":"2011","journal-title":"On dp-minimality, strong dependence, and weight"},{"key":"S0022481200000700_ref007","unstructured":"Simon P. , On dp-minimal ordered structures, preprint, 09 2009."},{"key":"S0022481200000700_ref003","first-page":"221","volume":"75","author":"Goodrick","year":"2010","journal-title":"A monotonicity theorem for dp-minimal densely ordered groups"},{"key":"S0022481200000700_ref006","volume-title":"Classification theory and the number of non-isomorpkic models","author":"Shelah","year":"1978"},{"key":"S0022481200000700_ref002","unstructured":"Dolich A. , Goodrick J. , and Lippel D. , dp-Minimality: Basic facts and examples, preprint, 07 2009."},{"key":"S0022481200000700_ref001","unstructured":"Adler H. , Theories controlled by formulas of Vapnik\u2013Chervonenkis codimension 1, preprint, 07 2008."},{"key":"S0022481200000700_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/s00454-009-9201-3"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200000700","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,25]],"date-time":"2019-04-25T20:47:28Z","timestamp":1556225248000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200000700\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,6]]},"references-count":7,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,6]]}},"alternative-id":["S0022481200000700"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1333566634","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,6]]}}}