Towards a Model Theory for Transseries

Published 22 Dec 2011 in math.LO and math.DS | (1112.5237v2)

Abstract: The differential field of transseries extends the field of real Laurent series, and occurs in various context: asymptotic expansions, analytic vector fields, o-minimal structures, to name a few. We give an overview of the algebraic and model-theoretic aspects of this differential field, and report on our efforts to understand its first-order theory.

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