Collapsing Constructive and Intuitionistic Modal Logics
Abstract
We prove that the constructive and intuitionistic variants of the modal logic $\mathsf{KB}$ coincide. This result contrasts with a recent result by Das and Marin, who showed that the constructive and intuitionistic variants of $\mathsf{K}$ do not prove the same diamond-free formulas.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2024
- DOI:
- 10.48550/arXiv.2408.16428
- arXiv:
- arXiv:2408.16428
- Bibcode:
- 2024arXiv240816428P
- Keywords:
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- Mathematics - Logic;
- Computer Science - Logic in Computer Science;
- 03B45;
- 03F55