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Creators/Authors contains: "Pauly, Arno"

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  1. ; ; ; ; (, Proceedings of the American Mathematical Society)
    In this paper, we study the existence of minimal covers and strong minimal covers in the Weihrauch degrees. We characterize when a problem  f f is a minimal cover or strong minimal cover of a problem  h h . We show that strong minimal covers only exist in the cone below  i d id and that the Weihrauch lattice above  i d id is dense. From this, we conclude that the degree of i d id is first-order definable in the Weihrauch degrees and that the first-order theory of the Weihrauch degrees is computably isomorphic to third-order arithmetic. 
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  2. ; ; ; ; (, Computability)
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  3. ; ; ; ; ; (, Computability)
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