Extending the Petri box calculus with time

PBC (Petri Box Calculus) is a process algebra where real parallelism of concurrent systems can be naturally expressed. One of its main features is the definition of a denotational semantics based on Petri nets, which emphasizes the structural aspects of the modelled systems. However, this formal model does not include temporal aspects of processes, which are necessary when considering real-time systems. The aim of this paper is to extend the existing calculus with those temporal aspects. We consider that actions are not instantaneous, that is, their execution takes time. We present an operational semantics and a denotational semantics based on timed Petri nets. Finally, we discuss the introduction of other new features such as time-outs and delays. Throughout the paper we assume that the reader is familiar with both Petri nets and PBC

Effective representation of RT-LOTOS terms by finite time petri nets

The paper describes a transformational approach for the specification and formal verification of concurrent and real-time systems. At upper level, one system is specified using the timed process algebra RT-LOTOS. The output of the proposed transformation is a Time Petri net (TPN). The paper particularly shows how a TPN can be automatically constructed from an RT-LOTOS specification using a compositionally defined mapping. The proof of the translation consistency is sketched in the paper and developed in [1]. The RT-LOTOS to TPN translation patterns formalized in the paper are being implemented. in a prototype tool. This enables reusing TPNs verification techniques and tools for the profit of RT-LOTOS

Replicated ambient Petri nets

Recently we have introduced Ambient Petri nets, as a multilevel extension of the Elementary Object Systems, that can be used to model the concept of nested ambients from the Ambient Calculus. Both mobile computing and mobile computation are supported by that calculus, and then by means of our Ambient Petri nets we get a way to introduce in the world of Petri nets these important features of nowadays computing. Nevertheless, our basic proposal does not yet provide the suitable background for the modeling of replication, one of the basic operators from the original calculus, by means of which infinite processes are introduced and treated in a very simple way. In this paper we enrich our framework by introducing that operator. We obtain a simple and nice model in which the basic nets are still static and finite, since the dynamics of the systems can be covered by the adequate notion of marking, where all the copies generated by the application of the replication operator will live together, without interfering in an inadequate way

An algebra of Petri nets with arc-based timing restrictions

Human beings from the moment they understood the power of their brain tried to create things to make their life easier and satisfy their needs either physical or mental. Inventions became more and more complicated, covering almost every aspect of human life and satisfying the never ending human curiosity. One of the reasons for this complexity is that an increasing number of systems exhibit concurrency. The development of concurrent systems is generally challenging since it is more difficult to fully understand their exact behaviour. In this thesis We present and investigate two of the most widely used and well studied theories to capture concurrent behaviour. Based on the results of PBC, we develop two algebras, one based on term re-writing and the other on Petri nets, aimed at the Specification and analysis of concurrent systems with timing information. The former is based on process expressions (at-expressions) and employs a set of SOS rules providing their operational semantics. The latter is based on a class of Petri nets with time restrictions associated with their arcs, called at-boxes, and the corresponding transition firing rule. We relate the two algebras through a compositionally defined mapping which for a given at-expression returns an at- box with behaviourally equivalent transition system. The resulting framework consisting of the two algebras is called the Timed-Arc Petri Box Calculus, or atPBC.EThOS - Electronic Theses Online ServiceEPSRCGBUnited Kingdo