Modeling in Event-B : system and software engineering /
"A practical text suitable for an introductory or advanced course in formal methods, this book presents a mathematical approach to modeling and designing systems using an extension of the B formalism: Event-B. Based on the idea of refinement, the author's systematic approach allows the use...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cambridge ; New York :
Cambridge University Press,
2010.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Prologue: Faultless systems
- yes we can!
- Definitions and requirements document
- Modeling vs. programming
- Discrete transition systems and proofs
- States and events
- Horizontal refinement and proofs
- Vertical refinement and proofs
- Communication and proofs
- Being faultless: what does it mean?
- About proofs
- Design pattern
- Animation
- Tools
- The problem of legacy code
- The use of set-theoretic notation
- Other validation approaches
- Innovation
- Education
- Technology transfer
- References
- Acknowledgments
- 1 Introduction
- 1.1 Motivation
- 1.2 Overview of the chapters
- Chapter 1: Introduction
- Chapter 2: Controlling cars on a bridge
- Chapter 3: A mechanical press controller
- Chapter 4: A simple file transfer protocol
- Chapter 5: The Event-B Modeling notation and proof obligation rules
- Chapter 6: Bounded re-transmission protocol
- Chapter 7: Development of a concurrent program
- Chapter 8: Development of electronic circuits
- Chapter 9: Mathematical language
- Chapter 10: Leader election on a ring-shaped network
- Chapter 11: Synchronizing a tree-shaped network
- Chapter 12: Routing algorithm for a mobile agent
- Chapter 13: Leader election on a connected graph network
- Chapter 14: Mathematical models for proof obligations
- Chapter 15: Development of sequential programs
- Chapter 16: A location access controller
- Chapter 17: Train system
- Chapter 18: Problems
- 1.3 How to use this book
- 1.4 Formal methods
- 1.5 A little detour: blueprints
- 1.6 The requirements document
- 1.6.1 Life cycle
- 1.6.2 Difficulties with the requirements document
- 1.6.3 A useful comparison
- 1.7 Definition of the term f̀̀ormal method'' as used in this book
- 1.7.1 Complex systems
- 1.7.2 Discrete systems
- 1.7.3 Test reasoning versus model (blueprint) reasoning
- 1.8 Informal overview of discrete models
- 1.8.1 State and transitions
- 1.8.2 Operational interpretation
- 1.8.3 Formal reasoning
- 1.8.4 Managing the complexity of closed models
- 1.8.5 Refinement
- 1.8.6 Decomposition
- 1.8.7 Generic development
- 1.9 References
- 2 Controlling cars on a bridge
- 2.1 Introduction
- 2.2 Requirements document
- 2.3 Refinement strategy
- 2.4 Initial model: limiting the number of cars
- 2.4.1 Introduction
- 2.4.2 Formalizing the state
- 2.4.3 Formalizing the events
- 2.4.4 Before-after predicates
- 2.4.5 Proving invariant preservation
- 2.4.6 Sequent
- 2.4.7 Applying the invariant preservation rule
- 2.4.8 Proving the proof obligations
- 2.4.9 Rules of inference
- 2.4.10 Meta-variables
- 2.4.11 Proofs
- 2.4.12 More rules of inference
- 2.4.13 Improving the two events: introducing guards
- 2.4.14 Improving the invariant preservation rule
- 2.4.15 Reproving invariant preservation
- 2.4.16 Initialization
- 2.4.17 Invariant establishment rule for the initializing event init
- 2.4.18 Applying the invariant establishment rule
- 2.4.19 Proving the initialization proof obligations: more inference rules
- 2.4.20 Deadlock freedom
- 2.4.21 Deadlock freedom rule
- 2.4.22 Applying the deadlock freedom proof obligation rule
- 2.4.23 More i