Title
Parameterized Synthesis of Self-Stabilizing Protocols in Symmetric Rings.
Abstract
Self-stabilization in distributed systems is a technique to guarantee convergence to a set of legitimate states without external intervention when a transient fault or bad initialization occurs. Recently, there has been a surge of efforts in designing techniques for automated synthesis of self-stabilizing algorithms that are correct by construction. Most of these techniques, however, are not parameterized, meaning that they can only synthesize a solution for a fixed and predetermined number of processes. In this paper, we report a breakthrough in parameterized synthesis of self-stabilizing algorithms in symmetric rings. First, we develop tight cutoffs that guarantee (1) closure in legitimate states, and (2) deadlock-freedom outside the legitimates states. We also develop a sufficient condition for convergence in silent self-stabilizing systems. Since some of our cutoffs grow with the size of local state space of processes, we also present an automated technique that significantly increases the scalability of synthesis in symmetric networks. Our technique is based on SMT-solving and incorporates a loop of synthesis and verification guided by counterexamples. We have fully implemented our technique and successfully synthesized solutions to maximal matching, three coloring, and maximal independent set problems.
Year
DOI
Venue
2018
10.4230/LIPIcs.OPODIS.2018.29
OPODIS
Field
DocType
Citations 
Convergence (routing),Parameterized complexity,Computer science,Algorithm,Matching (graph theory),Counterexample,Initialization,State space,Maximal independent set,Distributed computing,Scalability
Conference
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Nahal Mirzaie100.34
Fathiyeh Faghih2114.33
Swen Jacobs320817.43
Borzoo Bonakdarpour449045.02