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Embedding Mobile Ambients into the π-calculus

The mobile ambient paradigm of mobile computations is very expressive and allows various embeddings into it of other models of computations such as Turing machine, the λ-calculus, and the π-calculus. In this paper we demonstrate that we have a closer relationship between mobile ambients and the π-calculus. We present an embedding of pure mobile ambients into a fragment of the π-calculus, namely the localized sum-free synchronous monadic π-calculus with matching and mismatching. The embedding is achieved by associating a pair of localized π-terms StructureA and Ruler to every mobile ambient A. StructureA simulates the spatial structure of A by means of communication channels. Ruler is a universal π-process intended to simulate the operational semantics of the mobile ambients. This embedding of pure mobile ambients into a subset of the π-calculus opens new ways to the analysis of ambients by means of techniques used in the π-calculus.