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Théorème de préparation pour les fonctions logarithmico-exponentielles. (Preparation theorem for logarithmico-exponential functions). (French) Zbl 0873.32004

Summary: We give a geometric proof of the quantifier elimination theorem for logarithmico-exponential functions, already proved by van den Dries, Macintyre and Marker.
Our proof does not make use of model theory arguments. It is based upon a preparation theorem for subanalytic functions.

MSC:

32B05 Analytic algebras and generalizations, preparation theorems
32B20 Semi-analytic sets, subanalytic sets, and generalizations
14P15 Real-analytic and semi-analytic sets
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References:

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