English

Well ordering principles and bar induction

Logic 2014-05-20 v1

Abstract

In this paper we show that the existence of omega-models of bar induction is equivalent to the principle saying that applying the Howard-Bachmann operation to any well-ordering yields again a well-ordering.

Cite

@article{arxiv.1405.4485,
  title  = {Well ordering principles and bar induction},
  author = {Michael Rathjen and Pedro Francisco Valencia Vizcaino},
  journal= {arXiv preprint arXiv:1405.4485},
  year   = {2014}
}

Comments

29 pages

R2 v1 2026-06-22T04:17:05.809Z