English

On inclusions between quantified provability logics

Logic 2021-05-25 v2

Abstract

We investigate several consequences of inclusion relations between quantified provability logics. Moreover, we give a necessary and sufficient condition for the inclusion relation between quantified provability logics with respect to Σ1\Sigma_1 arithmetical interpretations.

Keywords

Cite

@article{arxiv.2101.03384,
  title  = {On inclusions between quantified provability logics},
  author = {Taishi Kurahashi},
  journal= {arXiv preprint arXiv:2101.03384},
  year   = {2021}
}

Comments

22 pages

R2 v1 2026-06-23T21:57:01.257Z