English

Some observations on the FGH theorem

Logic 2023-04-11 v2

Abstract

We investigate the Friedman--Goldfarb--Harrington theorem from two perspectives. Firstly, in the frameworks of classical and modal propositional logics, we study the forms of sentences whose existence is guaranteed by the FGH theorem. Secondly, we prove some variations of the FGH theorem with respect to Rosser provability predicates.

Keywords

Cite

@article{arxiv.2110.14872,
  title  = {Some observations on the FGH theorem},
  author = {Taishi Kurahashi},
  journal= {arXiv preprint arXiv:2110.14872},
  year   = {2023}
}

Comments

28 pages

R2 v1 2026-06-24T07:15:13.410Z