We introduce the spi calculus, an extension of the pi calculus designed for describing and analyzing cryptographic protocols. We show how to use the spi calculus, particularly for studying authentication protocols. The pi calculus (without extension) suffices for some abstract protocols; the spi calculus enables us to consider cryptographic issues in more detail. We represent protocols as proce...

The concurrent constraint pi-calculus (cc-pi-calculus) has been introduced as a model for concluding Service Level Agreements. The cc-pi calculus combines the synchronous communication paradigm of process calculi with the constraint handling mechanism of concurrent constraint programming. While in the original presentation of the calculus a reduction semantics has been proposed, in this work we...

We present a reconstruction of session types in a conventional pi calculus. Our session types are qualified as linear or unrestricted. Linearly typed communication channels are guaranteed to occur in exactly one thread, possibly multiple times; afterwards they evolve to unrestricted channels. We equip types with a constructor that describes the two ends of a same communication channel, and prop...

This paper describes a general approach for deriving efficient, correct abstract machines for stochastic process calculi with nested mobile compartments. The approach is applied to the Bioambient calculus and the Brane calculus. Interestingly, the abstract machines for both calculi can be defined from a common machine that supports both sets of synchronisation primitives. This illustrates the f...

This work describes a concurrent, distributed abstract machine for the pi calculus. Its primary audience are researchers in the field of concurrency. The secondary audience are working programmers looking for a better way to write interactive programs. This audience need only read Chapters 1 (an overview) and 5 (the implementation). I hope that these chapters might prove appealing to students w...

We introduce explicit fusions of names. An explicit fusion is a process that exists concurrently with the rest of the system and enables two names to be used interchangeably. Explicit fusions provide a small-step account of reaction in process calculi such as the pi calculus and the fusion calculus. In this respect they are similar to the explicit substitutions of Abadi, Cardelli and Curien, wh...

This paper compares the expressiveness of ambient calculi against different dialects of the pi-calculus. Cardelli and Gordon encoded the asynchronous pi-calculus into their calculus of Mobile Ambients (MA). Zimmer has shown that the synchronous pi-calculus without choice can be encoded in pure (no communication) Safe Ambients. We show that pure MA without restriction has symmetric electoral sys...

We present a reconstruction of session types in a conventional pi calculus where types are qualified as linear or unrestricted. Linearly typed communication channels are guaranteed to occur in exactly one thread, possibly multiple times. We equip types with a constructor that denotes the two ends of a same communication channel. In order to assess the flexibility of the new type system, we prov...

This paper presents the Pi-graphs, a visual paradigm for the modelling and verification of mobile systems. The language is a graphical variant of the Pi-calculus with iterators to express non-terminating behaviors. The operational semantics of Pi-graphs use ground notions of labelled transition and bisimulation, which means standard verification techniques can be applied. We show that bisimilar...

We present a restriction of the solos calculus which is stable under reduction and expressive enough to contain an encoding of the pi-calculus. As a consequence, it is shown that equalizing names that are already equal is not required by the encoding of the pi-calculus. In particular, the induced solo diagrams bear an acyclicity property that induces a faithful encoding into differential intera...