English

Proof theory of weak compactness

Logic 2013-04-11 v7

Abstract

We show that the existence of a weakly compact cardinal over the Zermelo-Fraenkel's set theory is proof-theoretically reducible to iterations of Mostowski collapsings and Mahlo operations.

Keywords

Cite

@article{arxiv.1111.0462,
  title  = {Proof theory of weak compactness},
  author = {Toshiyasu Arai},
  journal= {arXiv preprint arXiv:1111.0462},
  year   = {2013}
}
R2 v1 2026-06-21T19:29:37.779Z