Is the theory of real closed fields augmented with the restricted exponential function decidable? If so, can someone explain that decision procedure?
2026-03-25 04:35:25.1774413325
Real closed field with the restricted exponential function
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It's unclear what precise theory you are asking about. If the question is whether the theory of $(\mathbb{R}, +, \times, \exp)$ is decidable, this is still open (see Tarksi's exponential function problem on Wikipedia), but a positive answer would follow from Schanuel's conjecture Schanuel's conjecture, a very powerful conjecture in number theory.