Verifying Weak Release-Acquire consistency for register machines is in O(n^5), while verifying Release-Acquire and Strong Release-Acquire is in PSPACE and both NP- and coNP-hard as claimed.
Optimal stateless model checking under the release-acquire semantics
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The complexity of verifying the release-acquire semantics over register machines
Verifying Weak Release-Acquire consistency for register machines is in O(n^5), while verifying Release-Acquire and Strong Release-Acquire is in PSPACE and both NP- and coNP-hard as claimed.