Abstract
We investigate a new property of computing systems called weak stabilization. Although this property is strictly weaker than the well-known property of stabilization, weak stabilization is superior to stabilization in several respects. In particular, adding delays to a system preserves the system property of weak stabilization, but does not necessarily preserve its stabilization property. Because most implementations are bound to add arbitrary delays to the systems being implemented, weakly stabilizing systems are much easier to implement than stabilizing systems. We also prove the following important result. A weakly stabilizing system that has a finite number of states is in fact stabilizing assuming that the system execution is strongly fair. Finally, we discuss an interesting method for composing several weakly stabilizing systems into a single weakly stabilizing system.
This work is supported in part by DARPA contract F33615-01-C-1901.
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References
Arora, A., Gouda, M.G.: Delay-Insensitive Stabilization. Proceedings of the Third Workshop on Self-Stabilizing Systems (1997) 95–109
Dijkstra, E.W.: Self-Stabilizing Systems in Spite of Distributed Control. Communications of the ACM, Vol. 17 (1974) 643–644
Dolev, S.: Self-Stabilization. 1st edn. MIT Press, Cambridge Massachusetts (2000)
Flatebo, M., Datta, A.K.: Self-Stabilization in Distributed Systems. In: Casavant, T.L., Singhal, M. (eds.): Readings in Distributed Computing Systems. Lecture Notes in Computer Science, Vol. 1281. Springer-Verlag, Berlin Heidelberg New York (1994) 100–114
.Gouda, M.G.: The Triumph and Tribulation of System Stabilization. In: Helary, J.M., Raynal, M. (eds.): Proceedings of the International Workshop on Distributed Algorithms. Lecture Notes in Computer Science, Vol. 972. Springer-Verlag, Berlin Heidelberg (1995) 1–18
Herman, T.: A Comprehensive Bibliography on Self-Stabilization. http://www.cs.uiowa.edu/ftp/selfstab/bibliography/2000 (2000)
Schneider, M.: Self-Stabilization. ACM Computing Surveys, Vol. 25 (1993) 45–67
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© 2001 Sppringer-Verlag Berlin Heidelberg
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Gouda, M.G. (2001). The Theory of Weak Stabilization. In: Datta, A.K., Herman, T. (eds) Self-Stabilizing Systems. WSS 2001. Lecture Notes in Computer Science, vol 2194. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45438-1_8
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DOI: https://doi.org/10.1007/3-540-45438-1_8
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