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arXiv · 1511.05189

On Weihrauch Reducibility and Intuitionistic Reverse Mathematics

Rutger Kuyper
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Abstract

We show that there is a strong connection between Weihrauch reducibility on one hand, and provability in EL_0, the intuitionistic version of RCA_0, on the other hand. More precisely, we show that Weihrauch reducibility to the composition of finitely many instances of a theorem is captured by provability in EL_0 together with Markov's principle, and that Weihrauch reducibility is captured by an affine subsystem of EL_0 plus Markov's principle.

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Rutger Kuyper. 2015-11-16. On Weihrauch Reducibility and Intuitionistic Reverse Mathematics. https://arxiv.org/abs/1511.05189

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