# On Bisimulations for the Asynchronous pi-calculus

1 MEIJE - Concurrency, Synchronization and Real-time Programming
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : The {\em asynchronous $\pi$-calculus\/} is a variant of the $\pi$-calculus where message emission is non-blocking. Honda and Tokoro have studied a semantics for this calculus based on bisimulation. Their bisimulation relies on a modified transition system where, at any moment, a process can perform any input action. In this paper we propose a new notion of bisimulation for the asynchronous $\pi$-calculus, defined on top of the standard labelled transition system. We give several characterizations of this equivalence including one in terms of Honda and Tokoro's bisimulation, and one in terms of %a natural {\em barbed equivalence}. We show that this bisimulation is preserved by name substitutions, hence by input prefix. Finally, we give a complete axiomatization of the (strong) bisimulation for finite terms.
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https://hal.inria.fr/inria-00073784
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Submitted on : Wednesday, May 24, 2006 - 1:45:06 PM
Last modification on : Saturday, August 29, 2020 - 5:26:02 PM
Long-term archiving on: : Sunday, April 4, 2010 - 11:58:12 PM

### Identifiers

• HAL Id : inria-00073784, version 1

### Citation

Roberto M. Amadio, Ilaria Castellani, Davide Sangiorgi. On Bisimulations for the Asynchronous pi-calculus. RR-2913, INRIA. 1996. ⟨inria-00073784⟩

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