The Receptive Distributed $\pi$-Calculus

Abstract

In this paper we study an asynchronous distributed $\pi$-calculus, with constructs for localities and migration. We show that a simple static analysis ensures the receptiveness of channel names, which, together with a simple type system, guarantees a local deadlock-freedom property, that we call message deliverability. This property states that any migrating message will find an appropriate receiver at its destination locality. We argue that this distributed, receptive calculus is still expressive enough, by giving a series of examples illustrating the «receptive style» of programming we have. Finally we show that our calculus contains the $\pi_1$-calculus, up to weak asynchronous bisimulation