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Event structure semantics of the pi-calculus

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We present the first compositional event structure semantics for a fully expressive pi-calculus, generalising Winskelโ€™s event structures for CCS . The pi-calculus we model is the “internal” pi-calculus, where output of free names is not allowed. 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

We will present also some ideas on how to deal with the full pi-calculus, with free name passing.

(joint with Silvia Crafa and Nobuko Yoshida)

This talk is part of the Logic and Semantics Seminar (Computer Laboratory) series.

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