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

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

arXiv admin note: text overlap with arXiv:1611.04444