English

Rosser provability and the second incompleteness theorem

Logic 2019-08-22 v2

Abstract

This paper is a continuation of Arai's paper on derivability conditions for Rosser provability predicates. We investigate the limitations of the second incompleteness theorem by constructing three different Rosser provability predicates satisfying several derivability conditions.

Keywords

Cite

@article{arxiv.1902.06863,
  title  = {Rosser provability and the second incompleteness theorem},
  author = {Taishi Kurahashi},
  journal= {arXiv preprint arXiv:1902.06863},
  year   = {2019}
}

Comments

23 pages

R2 v1 2026-06-23T07:44:24.103Z