Topology, randomness and noise in process calculus

Formal models of communicating and concurrent systems are one of the most important topics in formal methods, and process calculus is one of the most successful formal models of communicating and concurrent systems. In the previous works, the author systematically studied topology in process calculus, probabilistic process calculus and pi-calculus with noisy channels in order to describe approximate behaviors of communicating and concurrent systems as well as randomness and noise in them. This article is a brief survey of these works. © Higher Education Press 2007

A model of time dependent behavior in concurrent software systems

A great difficulty in building distributed systems lies in being able to predict what the systems behavior will be. A distributed or communicating system is defined here to be one in in which the hardware consists of a set of processors each with their own memory, connected by some communication medium (there is no shared memory), and the software is assumed to be of the CSP (Hoare's Communicating Sequential Processes) type.In the past few years some theories have been proposed to model features of communicating systems. Milner's Calculus of communicating Systems (CCS), Winskel's Synchronization Trees (ST), Hennessy's Acceptance Trees (AT), and Hoare and Brookes's theory of communicating processes are examples of formal models of such systems. All of these models concentrate on modelling observable properties of a system.Event Dependency Trees (EDT) is a new representation of communicating systems that models the time dependent nature of such systems. None of the representations mentioned above explicitly represent time but time is precisely the factor that introduces so much variability and complexity into such software and systems. EDT provides a representation based on trees and a set of operations over the EDT trees that can be used to produce deadlock-free software. The model supplies potentially important information for the design and construction of distributed, parallel software systems

Modeling and analysis of concurrent systems

A survey of modeling and analysis techniques in common use for modeling and analyzing concurrent systems. The models surveyed are CSP (Communicating Sequential Processes), Path Expressions, CCS (Calculus of Communicating Systems), CIRCAL, Petri Nets, Coloured Petri Nets, Predicate-Action Nets, Numerical Petri Nets, Contour-Transition Nets, and several varieties of Timed Petri Nets. The analysis techniques are state-space analysis, temporal logic, structural analysis, and inductive analysis

Split-2 Bisimilarity has a Finite Axiomatization over CCS with<br> Hennessy&#39;s Merge

This note shows that split-2 bisimulation equivalence (also known as timed equivalence) affords a finite equational axiomatization over the process algebra obtained by adding an auxiliary operation proposed by Hennessy in 1981 to the recursion, relabelling and restriction free fragment of Milner's Calculus of Communicating Systems. Thus the addition of a single binary operation, viz. Hennessy's merge, is sufficient for the finite equational axiomatization of parallel composition modulo this non-interleaving equivalence. This result is in sharp contrast to a theorem previously obtained by the same authors to the effect that the same language is not finitely based modulo bisimulation equivalence

Formal Models for Concurrent Communicating Systems

This report was originally written to fulfill in part the requirements of the author\u27s WPE examinations, part of the qualifying examinations for the University of Pennsylvania\u27a Computer Science Ph.D program. The report first introduces CCS and uses it to illustrate various features of established methods of modelling concurrent, communicating systems. The report then goes on to describe and investigate two new models for such systems: The Chemical Abstract Machine, a simple yet predominant in most models for such systems; and the π-calculus, a calculus similar in many respects to CCS, but able to model mobile processes and other, more difficult phenomena

Process Algebra, CCS, and Bisimulation Decidability

Over the past fifteen years, there has been intensive study of formal systems that can model concurrency and communication. Two such systems are the Calculus of Communicating Systems, and the Algebra of Communicating Processes. The objective of this paper has two aspects; (1) to study the characteristics and features of these two systems, and (2) to investigate two interesting formal proofs concerning issues of decidability of bisimulation equivalence in these systems. An examination of the processes that generate context-free languages as a trace set shows that their bisimulation equivalence is decidable, in contrast to the undecidability of their trace set equivalence. Recent results have also shown that the bisimulation equivalence problem for processes with a limited amount of concurrency is decidable

Formal verification of enterprise integration architectures

This is a near-finished paper to be presented in an international research conference. Weak Bisimulation is a process calculus equivalence relation, applied for the verification of communicating concurrent systems [Miln 99]. In this paper we propose the application of Weak Bisimulation for Enterprise Application Integration verification. Formal verification is carried out by taking the system specification and design models of an integrated system and converting them into value passing CCS (Calculus of Communicating Systems) processes. If a Weak Bisimulation relation is found between the two models, then it could be concluded that the EI Architecture is a valid one. The formal verification of an EI Architecture would give value to an EI project framework, allowing the challenge of cumbersome and complex testing typically faced by EI projects [Khan 05], to be alleviated, and thus increasing the possibility of a successful EI project, delivered on time and within the stipulated budgeted costs. This paper shows the applicability of value passing CCS (or equivalent) formal notation to model the EI systems characteristics, as well as investigates into the computation complexity of available weak bisimulation algorithms, in order to analyze the applicability of this proposition in real life.peer-reviewe

Analysing Mutual Exclusion using Process Algebra with Signals

In contrast to common belief, the Calculus of Communicating Systems (CCS) and similar process algebras lack the expressive power to accurately capture mutual exclusion protocols without enriching the language with fairness assumptions. Adding a fairness assumption to implement a mutual exclusion protocol seems counter-intuitive. We employ a signalling operator, which can be combined with CCS, or other process calculi, and show that this minimal extension is expressive enough to model mutual exclusion: we confirm the correctness of Peterson's mutual exclusion algorithm for two processes, as well as Lamport's bakery algorithm, under reasonable assumptions on the underlying memory model. The correctness of Peterson's algorithm for more than two processes requires stronger, less realistic assumptions on the underlying memory model.Comment: In Proceedings EXPRESS/SOS 2017, arXiv:1709.0004