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Paper detail

On Weihrauch Reducibility and Intuitionistic Reverse Mathematics

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.

preprint2015arXivOpen access
Rutger Kuyper
math.LO
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Rutger Kuyper

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