Step-Indexed Kripke Model of Separation Logic for Storable Locks

Alexandre Buisse, Lars Birkedal, Kristian Støvring · Electronic Notes in Theoretical Computer Science · 2011

We present a version of separation logic for modular reasoning about concurrent programs with dynamically allocated storable locks and dynamic thread creation. The assertions of the program logic are modelled by a Kripke model over a recursively de. ned set of worlds and the program logic is proved sound through a Kripke relation to the standard operational semantics. This constitutes an elegant solution to the circularity issue arising from lock resource invariants depending on worlds containing lock resource invariants.

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