Communicating and Mobile Systems: The Pi Calculus

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Instead of treating communication as an extra level of activity in which computers and their programs take part, Milner treats computers and their programs as themselves built from communicating parts. Everything is introduced by means of examples, such as mobile phones, job schedulers, vending machines, data structures, and the objects of object-oriented programming. But the aim of the book is to develop a theory, the pi-calculus, in which these things can be treated rigorously. The calculus is simple but powerful, with applications not only to computer programs, data structures, algorithms and programming languages but to the Internet and its communication protocols as well. This book is the long-awaited first exposition of the subject and will be welcomed by professionals, and their students.
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Editorial Reviews

From the Publisher
"The monograph is short, self-contained, and extremely readable. It covers all the important points in enough detail for the subtleties involved to be understood, while still being general enough that the material is applicable to other concurrent calculi variants..." Professor Riccardo Pucella, Cornell University

"The presentation is remarkably self-contained and excellent reference for researchers in the field." Mathematical Reviews

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Product Details

  • ISBN-13: 9780521643207
  • Publisher: Cambridge University Press
  • Publication date: 11/28/2004
  • Pages: 176
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.55 (d)

Table of Contents

Glossary; Part I. Communicating Systems: 1. Introduction; 2. Behaviour of automata; 3. Sequential processes and bisimulation; 4. Concurrent processes and reaction; 5. Transitions and strong equivalence; 6. Observation equivalence: theory; 7. Observation equivalence: examples; Part II. The π-Calculus: 8. What is mobility? 9. The π-calculus and reaction; 10. Applications of the π-calculus; 11. Sorts, objects and functions; 12. Commitments and strong bisimulation; 13. Observation equivalence and examples; 14. Discussion and related work; Bibliography; Index.

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