2009 | OriginalPaper | Buchkapitel
Synthesis of Fault-Tolerant Distributed Systems
verfasst von : Rayna Dimitrova, Bernd Finkbeiner
Erschienen in: Automated Technology for Verification and Analysis
Verlag: Springer Berlin Heidelberg
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A distributed system is fault-tolerant if it continues to perform correctly even when a subset of the processes becomes faulty. Fault-tolerance is highly desirable but often difficult to implement. In this paper, we investigate fault-tolerant
synthesis
, i.e., the problem of determining whether a given temporal specification can be implemented as a fault-tolerant distributed system. As in standard distributed synthesis, we assume that the specification of the correct behaviors is given as a temporal formula over the externally visible variables. Additionally, we introduce the
fault-tolerance specification
, a CTL
*
formula describing the effects and the duration of faults. If, at some point in time, a process becomes faulty, it becomes part of the external environment and its further behavior is only restricted by the fault-tolerance specification. This allows us to model a large variety of fault types. Our method accounts for the effect of faults on the values communicated by the processes, and, hence, on the information available to the non-faulty processes. We prove that for fully connected system architectures, i.e., for systems where each pair of processes is connected by a communication link, the fault-tolerant synthesis problem from CTL
*
specifications is
2EXPTIME
-complete.