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arXiv · 2007.05427

The fixed point and the Craig interpolation properties for sublogics of $\mathbf{IL}$

Sohei Iwata·Taishi Kurahashi·Yuya Okawa
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Abstract

We study the fixed point property and the Craig interpolation property for sublogics of the interpretability logic $\mathbf{IL}$. We provide a complete description of these sublogics concerning the uniqueness of fixed points, the fixed point property and the Craig interpolation property.

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Sohei Iwata, Taishi Kurahashi, Yuya Okawa. 2020-07-10. The fixed point and the Craig interpolation properties for sublogics of $\mathbf{IL}$. https://arxiv.org/abs/2007.05427

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