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arXiv · 1611.04444

Possibilistic semantics for a modal KD45 extension of G\"odel fuzzy logic

Félix Bou·Francesc Esteva·Lluís Godo·Ricardo Oscar Rodriguez
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Abstract

In this paper we provide a simplified semantics for the logic KD45(G), i.e. the many-valued G\"odel counterpart of the classical modal logic KD45. More precisely, we characterize KD45(G) as the set of valid formulae of the class of possibilistic G\"odel Kripke Frames $\langle W,\pi \rangle$, where $W$ is a non-empty set of worlds and $\pi: W \longrightarrow [0, 1]$ is a normalized possibility distribution on $W$.

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Félix Bou, Francesc Esteva, Lluís Godo, Ricardo Oscar Rodriguez. 2016-11-14. Possibilistic semantics for a modal KD45 extension of G\"odel fuzzy logic. https://doi.org/10.1007/978-3-319-40581-0_11

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