A note on the degree structure of primitive recursive m-reducibility
Birzhan Kalmurzayev, Nikolay A. Bazhenov, Alibek M Iskakov · arXiv (Cornell University) · 2023
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.