Self-Stabilizing Systems: 7th International Symposium, SSS - download pdf or read online

By Doina Bein, Ajoy K. Datta, Vincent Villain (auth.), Sébastien Tixeuil, Ted Herman (eds.)

ISBN-10: 3540298142

ISBN-13: 9783540298144

ISBN-10: 3540321233

ISBN-13: 9783540321231

This publication constitutes the refereed court cases of the seventh foreign Symposium on Self-Stabilizing platforms, SSS 2005, held in Barcelona, Spain, in October 2005.

The 15 revised complete papers offered have been rigorously reviewed and chosen from 33 submissions. The papers deal with classical subject matters of self-stabilization, winning extensions to the sector, corresponding to snap-stabilization, code stabilization, self-stabilization with both dynamic, defective or Byzantine parts, or take care of purposes of self-stabilization, both relating to working platforms, defense, or cellular and advert hoc networks.

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Additional info for Self-Stabilizing Systems: 7th International Symposium, SSS 2005, Barcelona, Spain, October 26-27, 2005. Proceedings

Example text

Then, A Snap-Stabilizing DFS with a Lower Space Requirement 41 the R values are propagated up as far as possible following the P ar variable (Raction). By this mechanism, the A values are deleted in the P ar paths of p and its neighbors (in particular, the A values present since the initial configuration). Thus, from now on, when a A value reaches a requesting processor, this value cannot come from anyone but r and the processor obviously belongs to the normal visiting phase. Now, as we have seen before, a processor q (q = r) eventually waits a confirmation from the root that all its neighbors are visited (Sq = wait).

Lemma 3. Let γ ∈ W U0 . For every transition γ → γ scheduled by the synchronous daemon: if p ∈ V0 in γ then p ∈ V0 in γ . Proof. Let p, q be two processes such that p = q, and p ∈ V0 in γ. Since p ∈ V0 in γ, p is enabled. Denote by ρ the value of Δpq in γ. There are two cases: 1. q ∈ V0 in γ. Then, q is also enabled in γ and Δpq = 0 in γ . 2. q ∈ / V0 in γ. Then, ρ > 0 and from Lemma 2, Δpq ∈ {ρ − 1, ρ} in γ . In both cases, q precedes p in γ . Thus, p is minimal in γ . The distance between two processes p and q, denoted by d (p, q) is the length of the shortest path between p and q.

The cleaning phase (Algorithms 3 and 4) cleans the trace of the last visiting phase so that the root is eventually ready to initiate another visiting phase again. The cleaning phase is initiated only when the visiting phase is entirely done. 3. The confirmation phase (Algorithms 5 and 6) prevents to forgot some processors in the visiting phase initiated by the root (especially when the system contains some erroneous behaviors). , the visiting phase from the root. , the abnormal visiting phases. 4.

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Self-Stabilizing Systems: 7th International Symposium, SSS 2005, Barcelona, Spain, October 26-27, 2005. Proceedings by Doina Bein, Ajoy K. Datta, Vincent Villain (auth.), Sébastien Tixeuil, Ted Herman (eds.)


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