English

Mahlo classes for first-order reflections

Logic 2019-10-16 v1

Abstract

In this note we axiomatize the Πk+1\Pi_{k+1}-consequences in the set theory KPΠN{\sf KP}\Pi_{N} for ΠN\Pi_{N}-reflecting universes in terms of iterations of Πi\Pi_{i}-recursively Mahlo operations for 1ki<N1\leq k\leq i<N.

Cite

@article{arxiv.1910.06520,
  title  = {Mahlo classes for first-order reflections},
  author = {Toshiyasu Arai},
  journal= {arXiv preprint arXiv:1910.06520},
  year   = {2019}
}
R2 v1 2026-06-23T11:43:43.855Z