Collapsing Constructive and Intuitionistic Modal Logics
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917792664518656 |
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| author | Pacheco, Leonardo |
| author_facet | Pacheco, Leonardo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16428 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Collapsing Constructive and Intuitionistic Modal Logics Pacheco, Leonardo Logic Logic in Computer Science 03B45, 03F55 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. |
| title | Collapsing Constructive and Intuitionistic Modal Logics |
| topic | Logic Logic in Computer Science 03B45, 03F55 |
| url | https://arxiv.org/abs/2408.16428 |