Formalization of PAL$\cdot$S5 in Proof Assistant
Logic in Computer Science
2020-12-18 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2012.09388,
title = {Formalization of PAL$\cdot$S5 in Proof Assistant},
author = {Jiatu Li},
journal= {arXiv preprint arXiv:2012.09388},
year = {2020}
}
Comments
For proof codes, see https://github.com/ljt12138/Formalization-PAL