Independence and concurrent separation logic

Details Independence and concurrent separation logic Independence and concurrent separation logic

2008-02-06

arxiv.org/abs/0802.0820v2

LMCS-2007-214

Computer Science

Logic in Computer Science

Scientific paper

10.2168/LMCS-4(1:6)2008

A compositional Petri net-based semantics is given to a simple language allowing pointer manipulation and parallelism. The model is then applied to give a notion of validity to the judgements made by concurrent separation logic that emphasizes the process-environment duality inherent in such rely-guarantee reasoning. Soundness of the rules of concurrent separation logic with respect to this definition of validity is shown. The independence information retained by the Petri net model is then exploited to characterize the independence of parallel processes enforced by the logic. This is shown to permit a refinement operation capable of changing the granularity of atomic actions.

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