Abstract
The problem of enforcing bounded-time 2-phase recovery in real-time programs is often necessitated by conflict between fault-tolerance requirements and timing constraints. In this paper, we address the problem of synthesizing two types of 2-phase recovery: relaxed and graceful. Intuitively, relaxed 2-phase recovery requires that in the presence of faults, the program recovers to an acceptable behavior within some time θ and recovers to ideal behavior within time δ. And, graceful 2-phase recovery allows us to capture a requirement that the time to recover from faults is proportional to the perturbation caused by that fault. We show that the problem of synthesizing relaxed bounded-time 2-phase recovery is NP-complete although a similar problem of graceful 2-phase recovery can be solved in polynomial-time both in the size of the input program’s region graph. Finally, based on the results in this paper, we argue that the requirement of intermediate recording of a fault before reaching legitimate states can increase the complexity of adding fault-tolerance substantially.
This work is partially sponsored by the COMBEST European project, NSF CAREER CCR-0092724, and ONR Grant N00014-01-1-0744.
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Bonakdarpour, B., Kulkarni, S.S. (2009). On the Complexity of Synthesizing Relaxed and Graceful Bounded-Time 2-Phase Recovery. In: Cavalcanti, A., Dams, D.R. (eds) FM 2009: Formal Methods. FM 2009. Lecture Notes in Computer Science, vol 5850. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05089-3_42
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DOI: https://doi.org/10.1007/978-3-642-05089-3_42
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