English

Esakia's theorem for the amended monadic intuitionistic calculus

Logic 2025-12-23 v1

Abstract

We show that the amended monadic Grzegorczyk logic M+Grz\mathsf{M^+Grz} is the largest modal companion of the amended monadic intuitionistic logic M+IPC\mathsf{M^+IPC}. Thus, unlike the monadic intuitionistic logic MIPC\mathsf{MIPC}, Esakia's theorem does extend to M+IPC\mathsf{M^+IPC}.

Cite

@article{arxiv.2512.18111,
  title  = {Esakia's theorem for the amended monadic intuitionistic calculus},
  author = {Guram Bezhanishvili and Luca Carai},
  journal= {arXiv preprint arXiv:2512.18111},
  year   = {2025}
}
R2 v1 2026-07-01T08:34:27.818Z