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arXiv · 2609.37440

Dynamic Proof Theory for Dynamic Epistemic Logic

Clara Lerouvillois·Francesca Poggiolesi
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Abstract

This paper proposes a calculus for Dynamic Epistemic Logic (DEL) based on dynamic hypersequents, a new framework for capturing the dynamics of epistemic models in a purely structural and natural way. We enrich dynamic hypersequents with agent indices and an event store, yielding a uniform representation of epistemic events. The resulting calculus enjoys a set of logical rules that are provably invertible. Moreover, all structural rules, including the contraction rules, as well as the cut-rule, are shown to be admissible. Finally, the calculus constitutes, to the best of our knowledge, the only proof-theoretic calculus for DEL that is both grounded in a classical S5 framework and inherently dynamic.

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Clara Lerouvillois, Francesca Poggiolesi. 2026-09-29. Dynamic Proof Theory for Dynamic Epistemic Logic. https://arxiv.org/abs/2609.37440

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