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2 - Basic process algebra

Published online by Cambridge University Press:  08 January 2010

J. C. M. Baeten
Affiliation:
Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam
W. P. Weijland
Affiliation:
Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam
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Summary

THE BASIC SYSTEM

In this chapter we will introduce some basic concepts of process algebra. We will do this in a modular way: first we will consider the theory BPA (Basic Process Algebra) as the kernel of all other theories that are given later. In the following sections we will show how to add some features such as deadlock, termination, projection and recursion to this theory in order to make it more powerful in its theoretical and practical applications. Each additional feature yields a conservative extension of the theories, so that we may consider the additional equations as a modular extension. Whether or not such a module should be added to the theory depends on what we want to use the theory for.

Starting in section 2.5, we consider various models for the algebraic theories that we found up to that point. Finding these models is important for more than one reason. First of all, it guarantees that the theories are consistent in the sense that the equations do not force undesirable identities to hold. Also, the models can help the intuition, they can help to visualize processes. Our models will in all cases be complete for the given theory, so the equality of two terms is true in the model exactly when it is derivable from the theory.

SYNTAX

We begin immediately with the equational specification BPA = (∑BPA, EBPA).

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Process Algebra , pp. 15 - 66
Publisher: Cambridge University Press
Print publication year: 1990

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  • Basic process algebra
  • J. C. M. Baeten, Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam, W. P. Weijland, Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam
  • Book: Process Algebra
  • Online publication: 08 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511624193.003
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  • Basic process algebra
  • J. C. M. Baeten, Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam, W. P. Weijland, Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam
  • Book: Process Algebra
  • Online publication: 08 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511624193.003
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.

  • Basic process algebra
  • J. C. M. Baeten, Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam, W. P. Weijland, Stichting Centrum voor Wiskunde en Informatica (CWI), Amsterdam
  • Book: Process Algebra
  • Online publication: 08 January 2010
  • Chapter DOI: https://doi.org/10.1017/CBO9780511624193.003
Available formats
×