English

Dependent choice as a termination principle

Logic in Computer Science 2019-02-28 v1 Logic

Abstract

We introduce a new formulation of the axiom of dependent choice that can be viewed as an abstract termination principle, which generalises the recursive path orderings used to establish termination of rewrite systems. We consider several variants of our termination principle, and relate them to general termination theorems in the literature.

Keywords

Cite

@article{arxiv.1902.09539,
  title  = {Dependent choice as a termination principle},
  author = {Thomas Powell},
  journal= {arXiv preprint arXiv:1902.09539},
  year   = {2019}
}
R2 v1 2026-06-23T07:50:41.176Z