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arXiv · 1709.02098

MK-fuzzy Automata and MSO Logics

Manfred Droste·Temur Kutsia·George Rahonis·Wolfgang Schreiner
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Abstract

We introduce MK-fuzzy automata over a bimonoid K which is related to the fuzzification of the McCarthy-Kleene logic. Our automata are inspired by, and intend to contribute to, practical applications being in development in a project on runtime network monitoring based on predicate logic. We investigate closure properties of the class of recognizable MK-fuzzy languages accepted by MK-fuzzy automata as well as of deterministically recognizable MK-fuzzy languages accepted by their deterministic counterparts. Moreover, we establish a Nivat-like result for recognizable MK-fuzzy languages. We introduce an MK-fuzzy MSO logic and show the expressive equivalence of a fragment of this logic with MK-fuzzy automata, i.e., a B\"uchi type theorem.

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Manfred Droste, Temur Kutsia, George Rahonis, Wolfgang Schreiner. 2017-09-07. MK-fuzzy Automata and MSO Logics. https://doi.org/10.4204/eptcs.256.8

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