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arXiv · 2105.06570

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

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 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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Ricardo Rodriguez, Olim Tuyt, Lluis Godo, Francesc Esteva. 2021-05-13. Simplified Kripke semantics for K45-like Godel modal logics and its axiomatic extensions. https://arxiv.org/abs/2105.06570

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