{ "id": "1108.2499", "version": "v1", "published": "2011-08-11T19:39:00.000Z", "updated": "2011-08-11T19:39:00.000Z", "title": "Definability of types over finite partial order indiscernibles", "authors": [ "Vincent Guingona" ], "comment": "25 pages", "categories": [ "math.LO" ], "abstract": "In this paper, we show that a partitioned formula \\phi is dependent if and only if \\phi has uniform definability of types over finite partial order indiscernibles. This generalizes our result from a previous paper [1]. We show this by giving a decomposition of the truth values of an externally definable formula on a finite partial order indiscernible.", "revisions": [ { "version": "v1", "updated": "2011-08-11T19:39:00.000Z" } ], "analyses": { "subjects": [ "03C45" ], "keywords": [ "finite partial order indiscernible", "uniform definability", "truth values", "decomposition", "externally definable formula" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1108.2499G" } } }