A semantics for concurrent separation logic

We present a trace semantics for a language of parallel programs which share access to mutable data. We introduce a resource-sensitive logic for partial correctness, based on a recent proposal of O’Hearn, adapting separation logic to the concurrent setting. The logic allows proofs of parallel programs in which “ownership ” of critical data, such as the right to access, update or deallocate a pointer, is transferred dynamically between concurrent processes. We prove soundness of the logic, using a novel “local” interpretation of traces which allows accurate reasoning about ownership. We show that every provable program is race-free