Revisiting Concurrent Separation Logic and Operational Semantics

We present a new soundness proof of Concurrent Separation Logic (CSL) based on a structural operational semantics (SOS). We build on two previous proofs and develop new auxiliary notions to achieve the goal. One uses a denotational semantics (based on traces). The other is based on SOS, but was obtained only for a fragment of the logic – the Disjoint CSL – which disallows modifying shared variables between concurrent threads.

In this work, we lift such restriction, proving the soundness of full CSL with respect to a SOS. Thus contributing to the development of tools able of ensuring the correctness of realistic concurrent programs. Moreover, given that we used SOS, such tools can be well-integrated in programming environments and even incorporated in compilers.

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