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Systematic Correct Construction of Self-stabilizing Systems: A Case Study

Publication Type
Year of Publication
2010
Conference/Journal Name
International Symposium on Stabilization, Safety, and Security of Distributed Systems (SSS)
Publisher
Springer
Abstract
Design and implementation of distributed algorithms often involve many subtleties due to their complex structure, non-determinism,
and low atomicity as well as occurrence of unanticipated physical events such as faults. Thus, constructing correct distributed systems has always been a challenge and often subject to serious errors. We present a methodology for component-based modeling, verification, and performance evaluation of self-stabilizing systems based on the BIP framework. In BIP, a system is modeled as the composition of a set of atomic components by using two types of operators: interactions describing synchronization constraints between components, and priorities to specify scheduling constraints. The methodology involves three steps illustrated using the distributed reset algorithm due to Arora and Gouda. First, a high-level model of the algorithm is built in BIP from the set of its processes by using powerful primitives for multi-party interactions and scheduling. Then, we use this model for verification of properties of a self-stabilizing algorithm including closure, deadlock-freedom, and finite reachability of the set of legitimate states. Finally, a distributed model which is observationally equivalent to the high-level model is generated. This model is used for performance analysis taking into account the degree of parallelism and convergence times for failure-free behavior as well as in the presence of faults.