Process Algebra with Timing / Edition 1

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Timing issues are of growing importance for the conceptualization and design of computer-based systems. Timing may simply be essential for the correct behaviour of a system, e.g. of a controller. Even if timing is not essential for the correct behaviour of a system, there may be good reasons to introduce it in such a way that suitable timing becomes relevant for the correct behaviour of a complex system. This book is unique in presenting four algebraic theories about processes, each dealing with timing from a different point of view, in a coherent and systematic way. The timing of actions is either relative or absolute and the underlying time scale is either discrete or continuous.

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Editorial Reviews

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"This book gives a comprehensive overview of more than a decade of development of an algebraic theory of processes with time. … Throughout the text small examples and exercises illustrate the theory. … This book is well-suited as background material or even a starting point for researchers in this field. Due to its excellent readability and its abundance of exercises the book is even suited to be used in an advanced course." (J. F. Groote, Zentralblatt MATH, Vol. 1021, 2003)

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Product Details

  • ISBN-13: 9783642077883
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 12/1/2010
  • Series: Monographs in Theoretical Computer Science. An EATCS Series
  • Edition description: Softcover reprint of hardcover 1st ed. 2002
  • Edition number: 1
  • Pages: 287
  • Product dimensions: 0.65 (w) x 9.21 (h) x 6.14 (d)

Table of Contents

1. No Timing.- 2. Discrete Relative Timing.- 3. Discrete Absolute Timing.- 4. Continuous Relative Timing.- 5. Continuous Absolute Timing.- 6. Abstraction.- 7. Features.- A.1 Elimination.- A.2 Soundness.- A.3 Completeness.- B. Background Material.- B.1 Basic Equational Logic and SOS Theory.- B.1.1 Equational Logic.- B.1.2 SOS Theory.- B.2 Some Further Topics.- B.2.1 TSSs with Negative Premises.- B.2.2 Variable Binding Operators.- B.2.3 Conservativity and Completeness.- B.2.4 Generalizations.- B.2.5 Given Sorts and Parametrization.- B.3 Non-negative Real Numbers.- References.

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