English

Collapsing Constructive and Intuitionistic Modal Logics

Logic 2024-10-02 v2 Logic in Computer Science

Abstract

We prove that the constructive and intuitionistic variants of the modal logic KB\mathsf{KB} coincide. This result contrasts with a recent result by Das and Marin, who showed that the constructive and intuitionistic variants of K\mathsf{K} do not prove the same diamond-free formulas.

Keywords

Cite

@article{arxiv.2408.16428,
  title  = {Collapsing Constructive and Intuitionistic Modal Logics},
  author = {Leonardo Pacheco},
  journal= {arXiv preprint arXiv:2408.16428},
  year   = {2024}
}
R2 v1 2026-06-28T18:27:31.905Z