Models and Analysis for Distributed Systems

Foreword 9
Claude GIRAULT

Chapter 1. Introduction 17
Serge HADDAD, Fabrice KORDON, Laurent PAUTET and Laure PETRUCCI

FIRST PART. FORMAL MODELS FOR DISTRIBUTED SYSTEMS 21

Chapter 2. Introduction to Formal Models 23
Laure PETRUCCI

2.1.Motivation 23

2.2.Semi-formalmodels 24

2.3.Formal models 27

2.4.After specification, verification 35

2.5. Outline of Part I 37

2.6.Bibliography 37

Chapter 3. Specification and Design Approaches  41
Christine CHOPPY and Laure PETRUCCI

3.1. Introduction 41

3.2.Criteria for developing specifications 42

3.3. Specification development methodologies 50

3.4.Conclusion 60

3.5.Bibliography 60

Chapter 4. Modeling Time 63
B©atrice BRARD

4.1. Introduction 63

4.2.Semantics of timed models 65

4.3.Classical timed models 68

4.4.Specification of timing requirements 85

4.5.Conclusion 90

4.6.Bibliography 90

Chapter 5. Architecture Description Languages 97
Pascal POIZAT and Thomas VERGNAUD

5.1. Introduction 97

5.2.Concepts 100

5.3.Formal ADLs 109

5.4.ADLs for actual implementation 117

5.5.Conclusion 130

5.6.Bibliography 130

SECOND PART. VERIFICATION TECHNIQUES FOR DISTRIBUTED SYSTEMS 135

Chapter 6. Introduction to Verification 137
Serge HADDAD

6.1. Introduction 137

6.2.Formal models for verification 138

6.3.Expression of properties 141

6.4. Verification methods 144

6.5. Outline of Part 2 151

6.6.Bibliography 151

Chapter 7. Verification of Finite-State Systems 155
Jean-Fran§ois PRADAT-PEYRE and Yann THIERRY-MIEG

7.1. Introduction 155

7.2. Petri net definition 156

7.3.Structural approaches 158

7.4.Formal verification by model-checking 183

7.5.Classification of model-checking approaches 191

7.6.Decision diagram-based approaches 194

7.7.Partial order reductions 203

7.8. Reductions exploiting symmetry 212

7.9.Conclusion 214

7.10.Bibliography 215

Chapter 8. Verification of Infinite-State Systems 221
St©phane DEMRI and Denis POITRENAUD

8.1. Introduction 221

8.2. Counter systems 225

8.3.Recursive Petri nets 233

8.4. Presburger arithmetic as symbolic representation 250

8.5.Concludingremarks 263

8.6.Bibliography 263

Chapter 9. Verification of Timed Systems 271
Pierre-Alain REYNIER

9.1. Introduction 271

9.2.Construction of the region graph 273

9.3.Handling infinite abstractions 284

9.4.Robustness issues in timed systems 293

9.5.Conclusion 303

9.6.Bibliography 303

Chapter 10. Distributed Control 307
Claude DUTHEILLET, Isabelle MOUNIER and Nathalie SZNAJDER

10.1. Introduction 307

10.2. Decentralized Control 311

10.3. Controller synthesis for distributed systems 323

10.4. Multi-player games 339

10.5.Conclusion 346

10.6.Bibliography 346

List of Authors 353

Index 355