论文标题

PAL的正式化$ \ cdot $ s5在证明助手中

Formalization of PAL$\cdot$S5 in Proof Assistant

论文作者

Li, Jiatu

论文摘要

作为逻辑研究证明助手的应用实验,我们将模型和证明系统正式化了多代理模态逻辑S5,具有瘦小定理供您使用的PAL风格动态模态。我们为减少公告的公理以及模态逻辑S5的合理性和完整性提供了正式的证明,可以用精益3.19.0进行打字。现在可以在Github获得完整的证明。

As an experiment to the application of proof assistant for logic research, we formalize the model and proof system for multi-agent modal logic S5 with PAL-style dynamic modality in Lean theorem prover. We provide a formal proof for the reduction axiom of public announcement, and the soundness and completeness of modal logic S5, which can be typechecked with Lean 3.19.0. The complete proof is now available at Github.

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