Topological Self-Stabilization with Name-Passing Process Calculi

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

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Christina Rickmann
Christoph Wagner
Uwe Nestmann
Stefan Schmid

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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)


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.
  • Distributed Algorithms
  • Fault Tolerance
  • Topological Self-Stabilization
  • Linearization
  • Process Calculi


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