LIPIcs.ICALP.2017.100.pdf
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Asynchronous Distributed Automata: A Characterization of the Modal Mu-Fragment
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44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: International Colloquium on Automata, Languages, and Programming (ICALP) - License:
Creative Commons Attribution 3.0 Unported license
- Publication Date: 2017-07-07
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Fabian Reiter. Asynchronous Distributed Automata: A Characterization of the Modal Mu-Fragment. In 44th International Colloquium on Automata, Languages, and Programming (ICALP 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 80, pp. 100:1-100:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)
https://doi.org/10.4230/LIPIcs.ICALP.2017.100
Abstract
We establish the equivalence between a class of asynchronous distributed automata and a small fragment of least fixpoint logic, when restricted to finite directed graphs. More specifically, the logic we consider is (a variant of) the fragment of the modal mu-calculus that allows least fixpoints but forbids greatest fixpoints. The corresponding automaton model uses a network of identical finite-state machines that communicate in an asynchronous manner and whose state diagram must be acyclic except for self-loops. Exploiting the connection with logic, we also prove that the expressive power of those machines is independent of whether or not messages can be lost.
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Keywords
- finite automata
- distributed computing
- modal logic
- mu-calculus
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References
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