Mobile Synchronizing Petri Nets: A Choreographic Approach for Coordination in Ubiquitous Systems

AbstractThe term Ubiquitous Computing was coined by Mark Weiser almost two decades ago. Despite all the time that has passed since Weiser's vision, ubiquitous computing still has a long way ahead to become a pervasive reality. One of the reasons for this may be the lack of widely accepted formal models capable of capturing and analyzing the complexity of the new paradigm. We propose a simple Petri Net based model to study some of its main characteristics. We model both devices and software components as a special kind of coloured Petri Nets, located in locations, that can move to other locations and synchronize with other co-located nets, offering and requesting services. We obtain an amenable model for ubiquitous computing, due to its graphical representation. We present our proposal in a progressive way, first presenting a basic model where coordination is formalized by the synchronized firing of pairs of compatible transitions that offer and request a specific service, and ad hoc networks are modeled by constraining mobility by the dynamic acquisition of locality names. Next, we introduce a mechanism for the treatment of robust security properties, namely the generation of fresh private names, to be used for authentication properties

Petri Net Semantics of the Finite pi-calculus Terms

International audienceIn this paper we propose a translation into high-level Petri nets of the terms of a finite fragment of the $\pi$-calculus. Our construction renders in a compositional way the control flow aspects present in $\pi$-calculus process expressions, by adapting the existing graph-theoretic net composition operators. Those aspects which are related to term rewriting, as well as name binding, are handled through special inscriptions of places, transitions and arcs, together with a suitable choice of the initial marking