Abstract
AbstractIn these notes we sketch a proof of the model completeness of the real exponential field. We begin with an introduction to the various Preparation Theorems required for the proof as well as a discussion of polynomially bounded, o-minimal structures. We then discuss the appropriate valuation theoretic setting and show how the so-called Valuation Inequality leads to the desired result. We conclude with some speculative remarks on the model theory of the complex exponential field.KeywordsComplex ExponentiationReal Exponential fieldDefinable ClosureKhovanskiQuasipolynomial MapThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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