A static analysis of the applied Pi calculus

Abstract

We present in this technical report a non-uniform static analysis for detecting the term-substitution property in systems specified in the language of the applied pi calculus. The analysis implements a denotational framework that has previously introduced analyses for the pi calculus and the spi calculus. The main novelty of this analysis is its ability to deal with systems specified in languages with non-free term algebras, like the applied pi calculus, where non-identity equations may relate different terms of the language. We demonstrate the applicability of the analysis to one famous security protocol, which uses non-identity equations, namely the Diffie-Hellman protocol.