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Compositional Event Structure Semantics for the Internal π -Calculus Export

CONCUR 2007 – Concurrency Theory (2007), pp. 317-332.

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causality eventstructure picalculus

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We propose the first compositional event structure semantics for a very expressive π-calculus, generalising Winskel’s event structures for CCS. The π-calculus we model is the πI-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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