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Model Theory of Analytic Functions: Some...
Journal article

Model Theory of Analytic Functions: Some Historical Comments

Abstract

Abstract Model theorists have been studying analytic functions since the late 1970s. Highlights include the seminal work of Denef and van den Dries on the theory of the p -adics with restricted analytic functions, Wilkie's proof of o-minimality of the theory of the reals with the exponential function, and the formulation of Zilber's conjecture for the complex exponential. My goal in this talk is to survey these main developments and to reflect on today's open problems, in particular for theories of valued fields.

Authors

Haskell D

Journal

Bulletin of Symbolic Logic, Vol. 18, No. 3, pp. 368–381

Publisher

Cambridge University Press (CUP)

Publication Date

September 1, 2012

DOI

10.2178/bsl/1344861887

ISSN

1079-8986

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