Emergent Mind

Towards a Proof Theory of Gödel Modal Logics

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

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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