Compositional Event Structure Semantics for the Internal pi -Calculus

We propose the first compositional event structure semantics for a very expressive p-calculus, generalising Winskel's event structures for CCS. The p-calculus we model is the pI-calculus with recursive definitions and summations. First we model the synchronous calculus, introducing a notion of dynamic renaming to the standard operators on event structures. Then we model the asynchronous calculus, for which a new additional operator, called rooting, is necessary for representing causality due to new name binding. The semantics are shown to be operationally adequate and sound with respect to bisimulation.

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