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arxiv: 1108.2499 · v1 · pith:XVWDTEX2new · submitted 2011-08-11 · 🧮 math.LO

Definability of types over finite partial order indiscernibles

classification 🧮 math.LO
keywords finiteorderpartialdefinabilityformulaindiscerniblestypesdecomposition
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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.

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