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Topological Self-Stabilization with Name-Passing Process Calculi

Authors: Christina Rickmann, Christoph Wagner, Uwe Nestmann, and Stefan Schmid

Published in: LIPIcs, Volume 59, 27th International Conference on Concurrency Theory (CONCUR 2016)


Abstract
Topological self-stabilization is the ability of a distributed system to have its nodes themselves establish a meaningful overlay network. Independent from the initial network topology, it converges to the desired topology via forwarding, inserting, and deleting links to neighboring nodes. We adapt a linearization algorithm, originally designed for a shared memory model, to asynchronous message-passing. We use an extended localized pi-calculus to model the algorithm and to formally prove its essential self-stabilization properties: closure and weak convergence for every arbitrary initial configuration, and strong convergence for restricted cases.

Cite as

Christina Rickmann, Christoph Wagner, Uwe Nestmann, and Stefan Schmid. Topological Self-Stabilization with Name-Passing Process Calculi. In 27th International Conference on Concurrency Theory (CONCUR 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 59, pp. 19:1-19:15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2016)


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@InProceedings{rickmann_et_al:LIPIcs.CONCUR.2016.19,
  author =	{Rickmann, Christina and Wagner, Christoph and Nestmann, Uwe and Schmid, Stefan},
  title =	{{Topological Self-Stabilization with Name-Passing Process Calculi}},
  booktitle =	{27th International Conference on Concurrency Theory (CONCUR 2016)},
  pages =	{19:1--19:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-017-0},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{59},
  editor =	{Desharnais, Jos\'{e}e and Jagadeesan, Radha},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2016.19},
  URN =		{urn:nbn:de:0030-drops-61761},
  doi =		{10.4230/LIPIcs.CONCUR.2016.19},
  annote =	{Keywords: Distributed Algorithms, Fault Tolerance, Topological Self-Stabilization, Linearization, Process Calculi}
}
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