Abstract
We investigate several consequences of inclusion relations between quantified provability logics. Moreover, we give a necessary and sufficient condition for the inclusion relation between quantified provability logics with respect to \(\Sigma _1\) arithmetical interpretations.
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Acknowledgements
The author would like to thank Sohei Iwata and Yuya Okawa for their helpful comments. The author would also like to thank the anonymous referee for valuable comments. This work was partly supported by JSPS KAKENHI Grant Number JP19K14586.
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Presented by Jacek Malinowski
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Kurahashi, T. On Inclusions Between Quantified Provability Logics. Stud Logica 110, 165–188 (2022). https://doi.org/10.1007/s11225-021-09957-y
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DOI: https://doi.org/10.1007/s11225-021-09957-y