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arXiv · 2508.09784

Reasoning About Knowledge on Regular Expressions is 2EXPTIME-complete

Avijeet Ghosh·Sujata Ghosh·François Schwarzentruber
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Abstract

Logics for reasoning about knowledge and actions have seen many applications in various domains of multi-agent systems, including epistemic planning. Change of knowledge based on observations about the surroundings forms a key aspect in such planning scenarios. Public Observation Logic (POL) is a variant of public announcement logic for reasoning about knowledge that gets updated based on public observations. Each state in an epistemic (Kripke) model is equipped with a set of expected observations. These states evolve as the expectations get matched with the actual observations. In this work, we prove that the satisfiability problem of $\POL$ is 2EXPTIME-complete.

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Avijeet Ghosh, Sujata Ghosh, François Schwarzentruber. 2025-08-13. Reasoning About Knowledge on Regular Expressions is 2EXPTIME-complete. https://arxiv.org/abs/2508.09784

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