How to escape Tennenbaum's theorem

Fedor Pakhomov

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arXiv · 2209.00967

How to escape Tennenbaum's theorem

Fedor Pakhomov

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Abstract

We construct a theory definitionally equivalent to first-order Peano arithmetic PA and a non-standard computable model of this theory. The same technique allows us to construct a theory definitionally equivalent to Zermelo-Fraenkel set theory ZF that has a computable model.

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Fedor Pakhomov. 2022-09-02. How to escape Tennenbaum's theorem. https://arxiv.org/abs/2209.00967

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