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arXiv · 2311.15253

A note on the degree structure of primitive recursive m-reducibility

Birzhan Kalmurzayev·Nikolay Bazhenov·Alibek Iskakov
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Abstract

Let $C^{pr}_m$ be the upper semilattice of degrees of computable sets with respect to primitive recursive $m$-reducibility. We prove that the first-order theory of $C^{pr}_m$ is hereditarily undecidable.

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Birzhan Kalmurzayev, Nikolay Bazhenov, Alibek Iskakov. 2023-11-26. A note on the degree structure of primitive recursive m-reducibility. https://doi.org/10.1093/logcom%2Fexae074

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