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arXiv · 1511.09092

On partitioning Kripke frames of finite height

Andrey Kudinov·Ilya Shapirovsky
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Abstract

The paper proves finite model property and decidability for a family of modal logics. A binary relation $R$ is called pretransitive, if $R^*=\cup_{i\leq m} R^i$ for some $m\geq 0$, where $R^*$ is the transitive reflexive closure of $R$. By the height of $(W,R)$ we mean the height of the preorder $(W,R^*)$. Special partitionings (filtrations) are described for pretransitive frames of finite height, which implies finite model property and decidability of logics of these frames.

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BibTeXRIS

Andrey Kudinov, Ilya Shapirovsky. 2015-11-29. On partitioning Kripke frames of finite height. https://arxiv.org/abs/1511.09092

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