Towards a Proof Theory of Gödel Modal Logics

Published 6 May 2011 in math.LO and cs.LO | (1105.1256v2)

Abstract: Analytic proof calculi are introduced for box and diamond fragments of basic modal fuzzy logics that combine the Kripke semantics of modal logic K with the many-valued semantics of G\"odel logic. The calculi are used to establish completeness and complexity results for these fragments.

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