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A van Benthem Theorem for Fuzzy Modal Logic
[article]
2018
arXiv
pre-print
We present a fuzzy (or quantitative) version of the van Benthem theorem, which characterizes propositional modal logic as the bisimulation-invariant fragment of first-order logic. Specifically, we consider a first-order fuzzy predicate logic along with its modal fragment, and show that the fuzzy first-order formulas that are non-expansive w.r.t. the natural notion of bisimulation distance are exactly those that can be approximated by fuzzy modal formulas.
arXiv:1802.00478v2
fatcat:nypcw2p4kvefxefmrpv7vorsp4