Distality for the Asymptotic Couple of the Field of Logarithmic Transseries

Notre Dame Journal of Formal Logic 61 (2):341-361 (2020)
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Abstract

We show that the theory Tlog of the asymptotic couple of the field of logarithmic transseries is distal. As distal theories are NIP, this provides a new proof that Tlog is NIP.

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Distal and non-distal NIP theories.Pierre Simon - 2013 - Annals of Pure and Applied Logic 164 (3):294-318.
Distal and non-distal pairs.Philipp Hieronymi & Travis Nell - 2017 - Journal of Symbolic Logic 82 (1):375-383.
Dependent pairs.Ayhan Günaydin & Philipp Hieronymi - 2011 - Journal of Symbolic Logic 76 (2):377 - 390.

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