Simplified Kripke semantics for K45-like Godel modal logics and its axiomatic extensions

Published 13 May 2021 in math.LO and cs.AI | (2105.06570v1)

Abstract: In this paper, we provide simplified semantics for the logic K45(G), i.e. the many-valued Godel counterpart of the classical modal logic K45. More precisely, we characterize K45(G) as the set of valid formulae of the class of possibilistic Godel Kripke Frames <W,\pi> where W is a non-empty set of worlds and \pi: W \to [0, 1] is a possibility distribution on W.

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