The Field of LE-Series with a Nonstandard Analytic Structure

Notre Dame Journal of Formal Logic 52 (3):255-265 (2010)
In this paper we prove that the field of Logarithmic-Exponential power series endowed with the exponential function and a class of analytic functions containing both the overconvergent functions in the t -adic norm and the usual strictly convergent power series is o-minimal
Keywords o-minimality   exponential   analytic structure
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