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

arXiv: https://arxiv.org/abs/1611.04444 · HTML: https://mlsanity.com/paper/1611.04444/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 14 Nov 2016.

## Built on by (most cited first, 1 of 1)

- [Simplified Kripke semantics for K45-like Godel modal logics and its axiomatic extensions](https://mlsanity.com/paper/2105.06570/) (2021)

## Abstract (arXiv)

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