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.2016.106
URN: urn:nbn:de:0030-drops-62416
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6241/
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Bouyer, Patricia ; Markey, Nicolas ; Randour, Mickael ; Sangnier, Arnaud ; Stan, Daniel

Reachability in Networks of Register Protocols under Stochastic Schedulers

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Abstract

We study the almost-sure reachability problem in a distributed system obtained as the asynchronous composition of N copies (called processes) of the same automaton (called protocol), that can communicate via a shared register with finite domain. The automaton has two types of transitions: write-transitions update the value of the register, while read-transitions move to a new state depending on the content of the register. Non-determinism is resolved by a stochastic scheduler. Given a protocol, we focus on almost-sure reachability of a target state by one of the processes. The answer to this problem naturally depends on the number N of processes. However, we prove that our setting has a cut-off property: the answer to the almost-sure reachability problem is constant when N is large enough; we then develop an EXPSPACE algorithm deciding whether this constant answer is positive or negative.

BibTeX - Entry

@InProceedings{bouyer_et_al:LIPIcs:2016:6241,
  author =	{Patricia Bouyer and Nicolas Markey and Mickael Randour and Arnaud Sangnier and Daniel Stan},
  title =	{{Reachability in Networks of Register Protocols under Stochastic Schedulers}},
  booktitle =	{43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)},
  pages =	{106:1--106:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-013-2},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{55},
  editor =	{Ioannis Chatzigiannakis and Michael Mitzenmacher and Yuval Rabani and Davide Sangiorgi},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6241},
  URN =		{urn:nbn:de:0030-drops-62416},
  doi =		{10.4230/LIPIcs.ICALP.2016.106},
  annote =	{Keywords: Networks of Processes, Parametrized Systems, Stochastic Scheduler, Almost-sure Reachability, Cut-Off Property}
}

Keywords: Networks of Processes, Parametrized Systems, Stochastic Scheduler, Almost-sure Reachability, Cut-Off Property
Collection: 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)
Issue Date: 2016
Date of publication: 23.08.2016

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