Game semantics for the constructive $\mu$-calculus

Leonardo Pacheco

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arXiv · 2308.16697

Game semantics for the constructive $\mu$-calculus

Leonardo Pacheco

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Abstract

We define game semantics for the constructive $\mu$-calculus and prove its equivalence to bi-relational semantics. As an application, we use the game semantics to prove that the $\mu$-calculus collapses to modal logic over the modal logic $\mathsf{IS5}$. We then show the completeness of $\mathsf{IS5}$ extended with fixed-point operators.

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BibTeX RIS

Leonardo Pacheco. 2023-08-31. Game semantics for the constructive $\mu$-calculus. https://arxiv.org/abs/2308.16697

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