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A process creation mechanism in process algebra

Published online by Cambridge University Press:  03 December 2009

J. A. Bergstra
Affiliation:
Programming Research Group, University of Amsterdam, P.O. Box 41882, 1009 DB Amsterdam, The Netherlands, Department of Philosophy, State University of Utrecht, Heidelberglaan 2, 3584 CS Utrecht, The Netherlands
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Summary

We introduce an encapsulation operator Eφ that provides process algebra with a process creation mechanism. Several simple examples are considered. It is shown that Eφ does not extend the defining power of the system ‘ACP with guarded recursion’.

INTRODUCTION

Extension of process algebra

In this paper we extend process algebra with a new operator that will be helpful to describe process creation. From a methodological point of view the extension of process algebra with new operators is just the right way to incorporate new features. Only in a very rich calculus with many operators one may hope to be able to perform significant algebraic calculations on systems. In many cases a new feature requires new (additional) syntax and more equations, only in very rare circumstances the addition of equations alone suffices to obtain an appropriate model of some new system aspect. The core system ACP, see, describes asynchronous cooperation with synchronous communication.

On top of ACP various features can be added, for instance: asynchronous communication, cooperation in the presence of shared data, broadcasting, interrupts. This note adds process creation to the features that are compatible with process algebra.

For historical remarks and relations with previous literature we refer to.

Process creation

We start on basis of the axiom system ACP which is supposed to be known to the reader. We assume the presence of a finite set of data D and introduce for each dD an action cr(d). The action cr(d) stands for: create a process on basis of initial information d. Let cr(D) denote the set {cr(d)|dD}.

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Publisher: Cambridge University Press
Print publication year: 1990

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  • A process creation mechanism in process algebra
    • By J. A. Bergstra, Programming Research Group, University of Amsterdam, P.O. Box 41882, 1009 DB Amsterdam, The Netherlands, Department of Philosophy, State University of Utrecht, Heidelberglaan 2, 3584 CS Utrecht, The Netherlands
  • Edited by J. C. M. Baeten
  • Book: Applications of Process Algebra
  • Online publication: 03 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511608841.006
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  • A process creation mechanism in process algebra
    • By J. A. Bergstra, Programming Research Group, University of Amsterdam, P.O. Box 41882, 1009 DB Amsterdam, The Netherlands, Department of Philosophy, State University of Utrecht, Heidelberglaan 2, 3584 CS Utrecht, The Netherlands
  • Edited by J. C. M. Baeten
  • Book: Applications of Process Algebra
  • Online publication: 03 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511608841.006
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • A process creation mechanism in process algebra
    • By J. A. Bergstra, Programming Research Group, University of Amsterdam, P.O. Box 41882, 1009 DB Amsterdam, The Netherlands, Department of Philosophy, State University of Utrecht, Heidelberglaan 2, 3584 CS Utrecht, The Netherlands
  • Edited by J. C. M. Baeten
  • Book: Applications of Process Algebra
  • Online publication: 03 December 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511608841.006
Available formats
×