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

05/13/2021

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by   Ricardo Rodriguez, et al.

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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,π> where W is a non-empty set of worlds and π: W →[0, 1] is a possibility distribution on W.