Abstract
We introduce a display calculus for the logic of Epistemic Actions and Knowledge (EAK) of Baltag-Moss-Solecki. This calculus is cut-free and complete w.r.t. the standard Hilbert-style presentation of EAK, of which it is a conservative extension, given that - as is common to display calculi - it is defined on an expanded language in which all logical operations have adjoints. The additional dynamic operators do not have an interpretation in the standard Kripke semantics of EAK, but do have a natural interpretation in the final coalgebra. This proof-theoretic motivation revives the interest in the global semantics for dynamic epistemic logics pursued among others by Baltag [4], Cîrstea and Sadrzadeh [8]. © 2013 Springer-Verlag.
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CITATION STYLE
Greco, G., Kurz, A., & Palmigiano, A. (2013). Dynamic epistemic logic displayed. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8196 LNCS, pp. 135–148). https://doi.org/10.1007/978-3-642-40948-6_11
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