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arXiv · 1707.05872

A note on public announcements in standard Gödel modal logic

Nicholas Pischke
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Abstract

We study public announcement operators in the context of standard Gödel modal logic as introduced by Caicedo and Rodriguez. Over that base logic, admitting a natural semantics over [0,1]-valued generalizations of modal Kripke models, we exhibit three possible semantic interpretations of the public announcement operator, all equivalent in a classical setting, and show that these logics are all different in terms of expressive strength. We provide partial completeness results for these logics via Hilbert-style calculi.

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Nicholas Pischke. 2021-12-13. A note on public announcements in standard Gödel modal logic. https://arxiv.org/abs/1707.05872

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