Duration Calculus: A Formal Approach to Real-Time Systems / Edition 1

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Real-time systems are systems in which temporal properties are
essential for reliability and correctness. Examples of systems where
correctness and reliability are important for safety reasons include
control systems for cars, trains and air planes. In devices such as
washing machines, DVD players and mobile phones the correctness and
reliability of the embedded real-time computing systems are important
for economical reasons as it is expensive to repair errors after the
production phase.

Duration Calculus is an interval logic having special features for
expressing and analysing time durations of states in real-time
systems. Duration Calculus represents a formal approach to the
development of real-time systems, where requirements and designs can
be expressed and reasoned about at an appropriate level of

This book presents the logical foundations of Duration Calculus in a
coherent and thorough manner and through selective case studies it
expains how Durations Calculus can be applied to formal specification
and verification of real-time systems. The book also contains an
extensive survey of the research on Duration Calculus.

Material included in the book has been used for M.Sc. and
Ph.D. courses, but the book is also valuable for experienced
researchers and professionals.

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Product Details

  • ISBN-13: 9783642074042
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 12/8/2010
  • Series: Monographs in Theoretical Computer Science. An EATCS Series
  • Edition description: Softcover reprint of hardcover 1st ed. 2004
  • Edition number: 1
  • Pages: 250
  • Product dimensions: 0.55 (w) x 9.21 (h) x 6.14 (d)

Meet the Author

Professor ZHOU Chaochen, Institute of Software, Chinese Academy of Sciences. Members of Chinese Academy of Sciences and the Third World Academy of Sciences. Former Director of International Institute for Software Technology, United Nations University. He has had about 30 years research experience in the area of formal techniques for computing systems, in particular for distributed and real-time systems.

Associate Prof. Michael R. Hansen. Informatics and Mathematical Modelling, Technical University of Denmark
Research interests:
Formal Methods, Computer Based Systems, Real-time systems, Hybrid systems, Duration Calculus.

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Table of Contents

1. Introduction.- 2. Interval Logic.- 3. Duration Calculus.- 4. Deadline-Driven Scheduler.- 5. Relative Completeness.- 6. Decidability.- 7. Undecidability.- 8. Model Checking: Linear Duration Invariants.- 9. State Transitions and Events.- 10. Superdense State Transitions.- 11. Neighborhood Logic.- 12. Probabilistic Duration Calculus.- References.- Abbreviations.- Symbol Index.

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