Canonicity in power and modal logics of finite achronal width
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866916487301693440 |
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| author | Goldblatt, Robert Hodkinson, Ian |
| author_facet | Goldblatt, Robert Hodkinson, Ian |
| contents | We develop a method for showing that various modal logics that are valid in their countably generated canonical Kripke frames must also be valid in their uncountably generated ones. This is applied to many systems, including the logics of finite width, and a broader class of multimodal logics of `finite achronal width' that are introduced here. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_12596 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Canonicity in power and modal logics of finite achronal width Goldblatt, Robert Hodkinson, Ian Logic Logic in Computer Science 03B45, 06E25 We develop a method for showing that various modal logics that are valid in their countably generated canonical Kripke frames must also be valid in their uncountably generated ones. This is applied to many systems, including the logics of finite width, and a broader class of multimodal logics of `finite achronal width' that are introduced here. |
| title | Canonicity in power and modal logics of finite achronal width |
| topic | Logic Logic in Computer Science 03B45, 06E25 |
| url | https://arxiv.org/abs/2207.12596 |