English

Sequent calculus for the subintuitionistic logic ${\sf WF_{N_{2}}} $

Logic 2025-01-07 v1

Abstract

A cut-free G3-style sequent calculus GWFN2 for the subintuitionistic logic WFN2, along with its single-succedent variant GWFsN2, is introduced. The calculus GWFN2 is shown to extend naturally to a G3-style of the sequent calculus GF for Corsis logic F. Additionally, a syntactic proof of the known embedding of GWFN2 into classical modal logic MNec is presented.

Cite

@article{arxiv.2501.02322,
  title  = {Sequent calculus for the subintuitionistic logic ${\sf WF_{N_{2}}} $},
  author = {Fatemeh Shirmohammadzadeh Maleki},
  journal= {arXiv preprint arXiv:2501.02322},
  year   = {2025}
}

Comments

arXiv admin note: text overlap with arXiv:2410.20425

R2 v1 2026-06-28T20:56:16.602Z