Visser frames for sublogics of $\mathbf{IL}$

Yuya Okawa; Taishi Kurahashi

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arXiv · 2211.15919

Visser frames for sublogics of $\mathbf{IL}$

Yuya Okawa·Taishi Kurahashi

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Abstract

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.

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BibTeX RIS

Yuya Okawa, Taishi Kurahashi. 2022-11-29. Visser frames for sublogics of $\mathbf{IL}$. https://arxiv.org/abs/2211.15919

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