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arXiv · 2109.09591

Hypersequent Calculi for Intermediate Predicate Logics

Takuma Imamura·Shuya Matsumoto·Shin Quawai
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Abstract

We report on the current status of our on-going project to develop well-behaved hypersequent calculi for intermediate predicate logics, such as the linearity axiom $\mathbf{LIN}\colon\left(\varphi\to\psi\right)\lor\left(\psi\to\varphi\right)$ and the constant domain axiom $\mathbf{CD}\colon\forall x\left(\varphi\lor\psi\left(x\right)\right)\to\varphi\lor\forall x\psi\left(x\right)$.

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Takuma Imamura, Shuya Matsumoto, Shin Quawai. 2021-09-20. Hypersequent Calculi for Intermediate Predicate Logics. https://arxiv.org/abs/2109.09591

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