Applications of Process Algebra

doi:10.1017/CBO9780511608841

This book gives applications of the theory of process algebra, or Algebra of Communicating Processes (ACP), that is the study of concurrent or communicating processes studied using an algebraic framework. The approach is axiomatic; the authors consider structures that are some set of mostly equational axioms, which are equipped with several operators. Thus the term 'algebra' is used in the model-theoretic sense. The axiomatic approach enables one to organize the field of process theories. The theory is applied systematically to a number of situations, including systolic algorithms, semantics of an object-oriented language, and protocols. It will be welcomed by computer scientists working in parallel programming.

'A useful and interesting addition to a computer science library.'

Source: International Mathematical News

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Contents

Frontmatter
pp i-iv
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Preface
pp v-x
- By J. C. M. Baeten, CWI, Amsterdam
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Contents
pp xi-xii
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An introduction to process algebra
pp 1-22
- 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, J. W. Klop, Department of Software Technology, Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands, Department of Mathematics and Computer Science, Free University, P.O. Box 7161, 1007 MC Amsterdam, The Netherlands
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Two simple protocols
pp 23-44
- By Frits W. Vaandrager, Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands
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Proving mutual exclusion with process algebra
pp 45-52
- By Eric R. Nieuwland, Computer Science Department, University of Amsterdam, P.O. Box 41882, 1009 DB Amsterdam, The Netherlands
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Process algebra as a tool for the specification and verification of CIM-architectures
pp 53-80
- By S. Mauw, Programming Research Group, University of Amsterdam, P.O. Box 41882, 1009 DB Amsterdam, The Netherlands
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A process creation mechanism in process algebra
pp 81-88
- 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
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Correctness proofs for systolic algorithms: palindromes and sorting
pp 89-126
- By L. Kossen, Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands, W. P. Weijland, Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands
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Verification of an algorithm for log-time sorting by square comparison
pp 127-146
- By J. C. Mulder, Programming Research Group, University of Amsterdam, P.O. Box 41882, 1009 DB Amsterdam, The Netherlands, W. P. Weijland, Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands
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On the Amoeba protocol
pp 147-172
- By J. C. Mulder, Programming Research Group, University of Amsterdam, P.O. Box 41882, 1009 DB Amsterdam, The Netherlands
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Process algebra semantics of POOL
pp 173-236
- By Frits W. Vaandrager, Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands
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Some observations on redundancy in a context
pp 237-260
- By Frits W. Vaandrager, Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands
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A modular approach to protocol verification using process algebra
pp 261-306
- By C. P. J. Koymans, Department of Philosophy, State University of Utrecht, Heidelberglaan 2, 3584 CS Utrecht, The Netherlands, J. C. Mulder, Programming Research Group, University of Amsterdam, P.O. Box 41882, 1009 DB Amsterdam, The Netherlands
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Index of concepts
pp 307-312
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Index of names
pp 313-316
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Index of symbols and notation
pp 317-317
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Applications of Process Algebra

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Contents

Frontmatter
pp i-iv

Preface
pp v-x

Contents
pp xi-xii

An introduction to process algebra
pp 1-22

Two simple protocols
pp 23-44

Proving mutual exclusion with process algebra
pp 45-52

Process algebra as a tool for the specification and verification of CIM-architectures
pp 53-80

A process creation mechanism in process algebra
pp 81-88

Correctness proofs for systolic algorithms: palindromes and sorting
pp 89-126

Verification of an algorithm for log-time sorting by square comparison
pp 127-146

On the Amoeba protocol
pp 147-172

Process algebra semantics of POOL
pp 173-236

Some observations on redundancy in a context
pp 237-260

A modular approach to protocol verification using process algebra
pp 261-306

Index of concepts
pp 307-312

Index of names
pp 313-316

Index of symbols and notation
pp 317-317

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Applications of Process Algebra

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