Topological product of modal logics with the McKinsey axiom
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929271098834944 |
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| author | Kudinov, Andrey |
| author_facet | Kudinov, Andrey |
| contents | In this paper we consider the topological products of modal logics of S4.1 and S4. We prove that it is equal to the fusion of logics S4.1 and S4 plus one additional axiom. We also show that this product is decidable. This is an example of a topological product of logics that is greater than the fusion but less than the expanding product of the corresponding logics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_06334 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological product of modal logics with the McKinsey axiom Kudinov, Andrey Logic In this paper we consider the topological products of modal logics of S4.1 and S4. We prove that it is equal to the fusion of logics S4.1 and S4 plus one additional axiom. We also show that this product is decidable. This is an example of a topological product of logics that is greater than the fusion but less than the expanding product of the corresponding logics. |
| title | Topological product of modal logics with the McKinsey axiom |
| topic | Logic |
| url | https://arxiv.org/abs/2403.06334 |