Tarski's exponential function problem

Importance: Medium ✭✭
Author(s): Tarski, Alfred
Subject: Logic
Keywords: Decidability
Recomm. for undergrads: no
Posted by: Charles
on: July 8th, 2008

\begin{conjecture} Is the theory of the real numbers with the exponential function decidable? \end{conjecture}

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See \Def{Tarski's exponential function problem}. Tarski proved that the theory of the real numbers without the exponential is decidable before asking this.

Bibliography

% Example: %*[B] Claude Berge, Farbung von Graphen, deren samtliche bzw. deren ungerade Kreise starr sind, Wiss. Z. Martin-Luther-Univ. Halle-Wittenberg Math.-Natur. Reihe 10 (1961), 114. % %[CRS] Maria Chudnovsky, Neil Robertson, Paul Seymour, Robin Thomas: \arxiv[The strong perfect graph theorem]{math.CO/0212070}, % Ann. of Math. (2) 164 (2006), no. 1, 51--229. \MRhref{MR2233847} % % (Put an empty line between individual entries)


* indicates original appearance(s) of problem.