Logic of (Common or Distributed) Knowledge
Logic in Computer Science
2025-12-01 v1
Abstract
In this paper, we generalize epistemic logic so that it can help reason about ways of combining common knowledge and distributed knowledge such as "common distributed knowledge", "distributed common knowledge", "distributed common distributed knowledge" and so on. Moreover, we study the logic of its dynamic update by arbitrary reading events. We axiomatize these logics and prove their soundness and completeness.
Cite
@article{arxiv.2511.22385,
title = {Logic of (Common or Distributed) Knowledge},
author = {Chenwei Shi},
journal= {arXiv preprint arXiv:2511.22385},
year = {2025}
}
Comments
In Proceedings TARK 2025, arXiv:2511.20540