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# On Byzantine Containment Properties of the $min+1$ Protocol

2 Regal - Large-Scale Distributed Systems and Applications
LIP6 - Laboratoire d'Informatique de Paris 6, Inria Paris-Rocquencourt
Abstract : Self-stabilization is a versatile approach to fault-tolerance since it permits a distributed system to recover from any transient fault that arbitrarily corrupts the contents of all memories in the system. Byzantine tolerance is an attractive feature of distributed systems that permits to cope with arbitrary malicious behaviors. We consider the well known problem of constructing a breadth-first spanning tree in this context. Combining these two properties proves difficult: we demonstrate that it is impossible to contain the impact of Byzantine nodes in a strictly or strongly stabilizing manner. We then adopt the weaker scheme of topology-aware strict stabilization and we present a similar weakening of strong stabilization. We prove that the classical $min+1$ protocol has optimal Byzantine containment properties with respect to these criteria.
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Cited literature [18 references]

https://hal.inria.fr/inria-00487091
Contributor : Swan Dubois <>
Submitted on : Thursday, May 27, 2010 - 9:08:24 PM
Last modification on : Friday, January 8, 2021 - 5:46:03 PM
Long-term archiving on: : Thursday, September 16, 2010 - 3:26:16 PM

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DuboisMasuzawaTixeuil.pdf
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### Identifiers

• HAL Id : inria-00487091, version 1
• ARXIV : 1005.5223

### Citation

Swan Dubois, Toshimitsu Masuzawa, Sébastien Tixeuil. On Byzantine Containment Properties of the $min+1$ Protocol. [Research Report] 2010. ⟨inria-00487091⟩

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