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arXiv · 2003.13331

The characterization of Weihrauch reducibility in systems containing E-PA$^ω$ + QF-AC$^{0,0}$

Patrick Uftring
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Abstract

We characterize Weihrauch reducibility in E-PA$^ω$ + QF-AC$^{0,0}$ and all systems containing it by the provability in a linear variant of the same calculus using modifications of Gödel's Dialectica interpretation that incorporate ideas from linear logic, nonstandard arithmetic, higher-order computability, and phase semantics.

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Patrick Uftring. 2021-07-14. The characterization of Weihrauch reducibility in systems containing E-PA$^ω$ + QF-AC$^{0,0}$. https://doi.org/10.1017/jsl.2020.53

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