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Gehret, Allen; Kaplan, Elliot

Distality for the asymptotic couple of the field of logarithmic transseries. (English) Zbl 1484.03068

Notre Dame J. Formal Logic 61, No. 2, 341-361 (2020).
Summary: We show that the theory \(T_{\log}\) of the asymptotic couple of the field of logarithmic transseries is distal. As distal theories are NIP (have the non-independence property), this provides a new proof that \(T_{\log}\) is NIP.

Cited in 1 Document

MSC:

03C64 Model theory of ordered structures; o-minimality
03C45 Classification theory, stability, and related concepts in model theory
06F20 Ordered abelian groups, Riesz groups, ordered linear spaces
12L12 Model theory of fields

Keywords:

asymptotic couples; asymptotic integration; distality; dp-rank; independence property; indiscernible sequences; logarithmic transseries
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\textit{A. Gehret} and \textit{E. Kaplan}, Notre Dame J. Formal Logic 61, No. 2, 341--361 (2020; Zbl 1484.03068)
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