Submission date: 11 August 2011.

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.

Mathematics Subject Classification:

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Full text arXiv 1108.2499: pdf, ps.