Liveness Proofs for Hardware Model Checking

Abstract We introduce a generic certificate format for verifying liveness properties in hardware model checking. The format relies purely on propositional predicates and does not involve explicit counters. Our certificates can be efficiently validated using a fixed number of SAT checks. The proposed format is compatible with state-of-the-art liveness checking algorithms. We present certificate generation for several representative techniques, including rLive, liveness-to-safety reduction, and k -liveness, as well as for a preprocessing method based on stabilizing constraint extraction. Experimental results on benchmarks from the Hardware Model Checking Competition demonstrate that our approach is practically effective with very low certification overhead, and our certificate checker successfully validated all generated certificates.