Visser frames for sublogics of $\mathbf{IL}$
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913357271924736 |
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| author | Okawa, Yuya Kurahashi, Taishi |
| author_facet | Okawa, Yuya Kurahashi, Taishi |
| contents | We study the modal completeness and the finite frame property of several sublogics of the logic $\mathbf{IL}$ of interpretability with respect to Visser frames, which are also called simplified Veltman frames. Among other things, we prove that the logic $\mathbf{CL}$ of conservativity has the finite frame property with respect to that frames. This is an affirmative solution to Ignatiev's problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_15919 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Visser frames for sublogics of $\mathbf{IL}$ Okawa, Yuya Kurahashi, Taishi Logic 03B45, 03F45 We study the modal completeness and the finite frame property of several sublogics of the logic $\mathbf{IL}$ of interpretability with respect to Visser frames, which are also called simplified Veltman frames. Among other things, we prove that the logic $\mathbf{CL}$ of conservativity has the finite frame property with respect to that frames. This is an affirmative solution to Ignatiev's problem. |
| title | Visser frames for sublogics of $\mathbf{IL}$ |
| topic | Logic 03B45, 03F45 |
| url | https://arxiv.org/abs/2211.15919 |