Tomasz Brengos - A coalgebraic take on regular and $\omega$-regular behaviours

lmcs:5179 - Logical Methods in Computer Science, December 23, 2021, Volume 17, Issue 4 -
A coalgebraic take on regular and $\omega$-regular behavioursArticle

Authors: Tomasz Brengos

    We present a general coalgebraic setting in which we define finite and infinite behaviour with Büchi acceptance condition for systems whose type is a monad. The first part of the paper is devoted to presenting a construction of a monad suitable for modelling (in)finite behaviour. The second part of the paper focuses on presenting the concepts of a (coalgebraic) automaton and its ($\omega$-) behaviour. We end the paper with coalgebraic Kleene-type theorems for ($\omega$-) regular input. The framework is instantiated on non-deterministic (Büchi) automata, tree automata and probabilistic automata.

    Volume: Volume 17, Issue 4
    Published on: December 23, 2021
    Accepted on: October 27, 2021
    Submitted on: February 8, 2019
    Keywords: Computer Science - Logic in Computer Science

    Consultation statistics

    This page has been seen 1058 times.
    This article's PDF has been downloaded 235 times.