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Unary Interpretability Logics for Sublogics of the Interpretability Logic \(\textbf{IL}\)

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Abstract

De Rijke introduced a unary interpretability logic \(\textbf{il}\), and proved that \(\textbf{il}\) is the unary counterpart of the binary interpretability logic \(\textbf{IL}\). In this paper, we find the unary counterparts of the sublogics of \(\textbf{IL}\).

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Acknowledgements

The author would like to thank to Taishi Kurahashi for his helpful and valuable comments. The research was supported by Foundation of Research Fellows, The Mathematical Society of Japan.

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Correspondence to Yuya Okawa.

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Okawa, Y. Unary Interpretability Logics for Sublogics of the Interpretability Logic \(\textbf{IL}\). Stud Logica (2023). https://doi.org/10.1007/s11225-023-10068-z

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