English

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

Logic 2025-04-29 v1

Abstract

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

Keywords

Cite

@article{arxiv.2311.15253,
  title  = {A note on the degree structure of primitive recursive m-reducibility},
  author = {Birzhan Kalmurzayev and Nikolay Bazhenov and Alibek Iskakov},
  journal= {arXiv preprint arXiv:2311.15253},
  year   = {2025}
}

Comments

13 pages

R2 v1 2026-06-28T13:31:42.880Z