English

Wellfoundedness proofs by means of non-monotonic inductive definitions II: first order operators

Logic 2013-04-11 v1

Abstract

In this paper, we give two proofs of the wellfoundedness of recursive notation systems for ΠN\Pi_N-reflecting ordinals. One is based on ΠN10\Pi_{N-1}^0-inductive definitions, and the other is based on distinguished classes.

Keywords

Cite

@article{arxiv.1005.2007,
  title  = {Wellfoundedness proofs by means of non-monotonic inductive definitions II: first order operators},
  author = {Toshiyasu Arai},
  journal= {arXiv preprint arXiv:1005.2007},
  year   = {2013}
}