eng
Schloss Dagstuhl – Leibniz-Zentrum für Informatik
Leibniz International Proceedings in Informatics
1868-8969
2022-06-28
113:1
113:20
10.4230/LIPIcs.ICALP.2022.113
article
Parameterized Safety Verification of Round-Based Shared-Memory Systems
Bertrand, Nathalie
1
https://orcid.org/0000-0002-9957-5394
Markey, Nicolas
1
https://orcid.org/0000-0003-1977-7525
Sankur, Ocan
1
https://orcid.org/0000-0001-8146-4429
Waldburger, Nicolas
1
Univ Rennes, Inria, CNRS, IRISA, France
We consider the parameterized verification problem for distributed algorithms where the goal is to develop techniques to prove the correctness of a given algorithm regardless of the number of participating processes. Motivated by an asynchronous binary consensus algorithm [James Aspnes, 2002], we consider round-based distributed algorithms communicating with shared memory. A particular challenge in these systems is that 1) the number of processes is unbounded, and, more importantly, 2) there is a fresh set of registers at each round. A verification algorithm thus needs to manage both sources of infinity. In this setting, we prove that the safety verification problem, which consists in deciding whether all possible executions avoid a given error state, is PSPACE-complete. For negative instances of the safety verification problem, we also provide exponential lower and upper bounds on the minimal number of processes needed for an error execution and on the minimal round on which the error state can be covered.
https://drops.dagstuhl.de/storage/00lipics/lipics-vol229-icalp2022/LIPIcs.ICALP.2022.113/LIPIcs.ICALP.2022.113.pdf
Verification
Parameterized models
Distributed algorithms