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Title:
Modelling distributed systems
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Publication Information:
New York, NY : Springer, 2007
Physical Description:
viii, 151 p. : ill. ; 24 cm.
ISBN:
9783540739371

9783540739388
General Note:
Available in online version
Added Title:
Modelling Distributed Systems [electronic resource]
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Fulltext
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30000010176138 QA76.58 F64 2007 Open Access Book Book
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Summary

Summary

A distributed system is driven by separate components that are executed in parallel, and protocols for such systems form a major aspect of system design in today's world of wireless and mobile networking. Process algebras are languages for the description of elementary parallel systems and are used to study the behavioural properties of distributed systems, but they often lack the ability to handle data.

This textbook guides students through algebraic specification and verification of distributed systems, and some of the most prominent formal verification techniques. The author employs µCRL as the vehicle, a language developed to combine process algebra and abstract data types. Chapters 2 and 3 explain the basics of abstract data types and process algebra, and guide the reader through the syntax and semantics of µCRL; Chap. 4 examines abstraction from internal behaviour; Chap. 5 covers specifications of standard protocols; Chap. 6 shows how to transform protocol specifications into labelled transition systems; Chap. 7 explains algorithms on labelled transition systems; and Chap. 8 presents symbolic verification techniques; finally, the Appendix gives a brief overview of the µCRL toolset.

The book evolved from introductory courses on protocol verification taught to undergraduate and graduate students of computer science, and the text is supported throughout with examples and exercises; full solutions are provided in an appendix, while exercise sheets, lab exercises, example specifications and lecturer slides will be available on the author's website. Researchers in the field can use the book as a broad overview of the state of the art in algebraic specification and verification of distributed systems on the basis of a modern verification tool.


Table of Contents

1 Introductionp. 1
2 Abstract Data Typesp. 5
2.1 Algebraic Specificationp. 5
2.2 Term Rewritingp. 9
2.3 Equality Functionsp. 10
2.4 Inductionp. 11
3 Process Algebrap. 13
3.1 Actionsp. 13
3.2 Alternative and Sequential Compositionp. 14
3.3 Parallel Processesp. 16
3.4 Deadlock and Encapsulationp. 18
3.5 Process Declarationsp. 21
3.6 Conditionalsp. 22
3.7 Summation over a Data Typep. 22
3.8 An Example: The Bagp. 24
3.9 Renamingp. 25
3.10 Bisimilarityp. 25
4 Hiding Internal Transitionsp. 29
4.1 Hiding of Actionsp. 29
4.2 Summaryp. 30
4.3 An Example: Two One-Bit Buffers in Sequencep. 31
4.4 Branching Bisimilarityp. 34
5 Protocol Specificationsp. 41
5.1 Alternating Bit Protocolp. 41
5.2 Bounded Retransmission Protocolp. 45
5.3 Sliding Window Protocolp. 52
5.4 Tree Identify Protocolp. 57
5.5 Movable Patient Support for an MRI Scannerp. 63
6 Linear Process Equationsp. 69
6.1 Linearisationp. 70
6.2 State Space Generation and Storagep. 74
6.3 CL-RSPp. 76
6.4 Invariantsp. 77
7 Verification Algorithms on State Spacesp. 81
7.1 Minimisation Modulo Branching Bisimulationp. 81
7.2 Confluencep. 83
7.3 Model Checkingp. 86
7.4 Abstractionp. 94
8 Symbolic Methodsp. 101
8.1 Cones and Focip. 101
8.2 Verification of the Tree Identify Protocolp. 104
8.3 Partial Order Reductionp. 107
8.4 Elimination of Parameters and Sum Variablesp. 112
8.5 Symbolic Model Checkingp. 116
A The [mu]CRL Toolset in a Nutshellp. 125
Solutions to Exercisesp. 131
Referencesp. 143
Indexp. 149
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