We propose to specify the correctness of a program's parallelism using a sequential version of the program with controlled nondeterminism. Such a nondeterministic sequential specification allows (1) the correctness of parallel interference to be verified independently of the program's functional correctness, and (2) the functional correctness of a program to be understood and verified on a sequential version of the program, one with controlled nondeterminism but no interleaving of parallel threads. We identify a number of common patterns for writing nondeterministic sequential specifications. We apply these patterns to specify the parallelism correctness for a variety of parallel Java benchmarks, even in cases when the functional correctness is far too complex to feasibly specify. We describe a sound runtime checking technique to validate that an execution of a parallel program conforms to its nondeterministic sequential specification. The technique uses a novel form of conflict-serializability checking to identify, for a given interleaved execution of a parallel program, an equivalent nondeterministic sequential execution. Our experiments show a significant reduction in the number of false positives versus traditional conflictserializability in checking for parallelization bugs.
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