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

Logic 2020-08-07 v2

Abstract

We study the fixed point property and the Craig interpolation property for sublogics of the interpretability logic IL\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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Cite

@article{arxiv.2007.05427,
  title  = {The fixed point and the Craig interpolation properties for sublogics of $\mathbf{IL}$},
  author = {Sohei Iwata and Taishi Kurahashi and Yuya Okawa},
  journal= {arXiv preprint arXiv:2007.05427},
  year   = {2020}
}

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37 pages