License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICALP.2017.100
URN: urn:nbn:de:0030-drops-73695
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/7369/
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Reiter, Fabian

Asynchronous Distributed Automata: A Characterization of the Modal Mu-Fragment

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LIPIcs-ICALP-2017-100.pdf (0.5 MB)

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.

BibTeX - Entry

@InProceedings{reiter:LIPIcs:2017:7369,
  author =	{Fabian Reiter},
  title =	{{Asynchronous Distributed Automata: A Characterization of the Modal Mu-Fragment}},
  booktitle =	{44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)},
  pages =	{100:1--100:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-041-5},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{80},
  editor =	{Ioannis Chatzigiannakis and Piotr Indyk and Fabian Kuhn and Anca Muscholl},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7369},
  URN =		{urn:nbn:de:0030-drops-73695},
  doi =		{10.4230/LIPIcs.ICALP.2017.100},
  annote =	{Keywords: finite automata, distributed computing, modal logic, mu-calculus}
}

Keywords: finite automata, distributed computing, modal logic, mu-calculus
Collection: 44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)
Issue Date: 2017
Date of publication: 07.07.2017

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