English

Hydra games for recursively Mahlo operations

Logic 2018-08-15 v1

Abstract

A hydra game is proposed, and the fact that every hydra eventually die out is shown to be equivalent (over a weak arithmetic) to the 1-consistency of set theory KPM for recursively Mahlo universes.

Cite

@article{arxiv.1808.04522,
  title  = {Hydra games for recursively Mahlo operations},
  author = {Toshiyasu Arai},
  journal= {arXiv preprint arXiv:1808.04522},
  year   = {2018}
}
R2 v1 2026-06-23T03:32:58.173Z