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

2021-05-13Unverified0· sign in to hype

Ricardo Rodriguez, Olim Tuyt, Lluis Godo, Francesc Esteva

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

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