Esakia's theorem for the amended monadic intuitionistic calculus
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908724807860224 |
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| author | Bezhanishvili, Guram Carai, Luca |
| author_facet | Bezhanishvili, Guram Carai, Luca |
| contents | We show that the amended monadic Grzegorczyk logic $\mathsf{M^+Grz}$ is the largest modal companion of the amended monadic intuitionistic logic $\mathsf{M^+IPC}$. Thus, unlike the monadic intuitionistic logic $\mathsf{MIPC}$, Esakia's theorem does extend to $\mathsf{M^+IPC}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18111 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Esakia's theorem for the amended monadic intuitionistic calculus Bezhanishvili, Guram Carai, Luca Logic 03B20, 03B45, 03B55 We show that the amended monadic Grzegorczyk logic $\mathsf{M^+Grz}$ is the largest modal companion of the amended monadic intuitionistic logic $\mathsf{M^+IPC}$. Thus, unlike the monadic intuitionistic logic $\mathsf{MIPC}$, Esakia's theorem does extend to $\mathsf{M^+IPC}$. |
| title | Esakia's theorem for the amended monadic intuitionistic calculus |
| topic | Logic 03B20, 03B45, 03B55 |
| url | https://arxiv.org/abs/2512.18111 |