Reactive Systems: Modelling, Specification and Verification - Cs.ioc.ee

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14 CHAPTER 2. THE LANGUAGE CCS ✬ CM ✫✉ coin ✩ ✪ ✬ CS ✫✉ coin ✬ ✫✉ ✩ coffee ✉ ✉ ✉ pub coffee CS’ ✪ ✩ ✉ ✉ pub coffee coin Figure 2.3: The interface for process CM | CS | CS ′ ✪
2.1. SOME CCS PROCESS CONSTRUCTIONS 15 ✬ CM ✫✉ coin ✬ CM’ ✫✉ coin ✩ coffee ✉ coffee ✪ ✩ ✉ coffee ✪ ✬ CS ✉ ✉ ✫✉ coin ✩ pub ✪ Figure 2.4: The interface for process CM | CS | CM ′ As pictured in Figure 2.5, the restricted coin and coffee ports may now only be used for communication between the computer scientist and the coffee machine, and are not available for interaction with their environment. Their scope is restricted to the process SmUni. The only port of SmUni that is visible to its environment, e.g., to the competing computer scientist CS ′ , is the one via which the computer scientist CS outputs her publications. In general, the formation rule for restriction is as follows: If P is a process and L is a set of port names, then P \ L is a process. In P \ L, the scope of the port names in L is restricted to P —those port names can only be used for communication within P . Since a computer scientist cannot live on coffee alone, it is beneficial for her to have access to other types of vending machines offering, say, chocolate, dried figs and crisps. The behaviour of these machines may be easily specified by means of minor variations on equation 2.1 on page 11. For instance, we may define the
Page 1: Reactive Systems: Modelling, Specif
Page 4 and 5: iv CONTENTS 5 Hennessy-Milner logic
Page 7 and 8: List of Figures 2.1 The interface f
Page 9: List of Tables 2.1 An alternative f
Page 12 and 13: xii PREFACE It has been very satisf
Page 14 and 15: xiv PREFACE a textbook, and offers
Page 16 and 17: xvi PREFACE studies in Edinburgh, a
Page 19: Part I A classic theory of reactive
Page 22 and 23: 4 CHAPTER 1. INTRODUCTION After hav
Page 24 and 25: 6 CHAPTER 1. INTRODUCTION • softw
Page 26 and 27: 8 CHAPTER 1. INTRODUCTION prototype
Page 28 and 29: 10 CHAPTER 2. THE LANGUAGE CCS ✬
Page 30 and 31: 12 CHAPTER 2. THE LANGUAGE CCS Exer
Page 34 and 35: 16 CHAPTER 2. THE LANGUAGE CCS ✬
Page 36 and 37: 18 CHAPTER 2. THE LANGUAGE CCS CS d
Page 38 and 39: 20 CHAPTER 2. THE LANGUAGE CCS Sinc
Page 40 and 41: 22 CHAPTER 2. THE LANGUAGE CCS a p
Page 42 and 43: 24 CHAPTER 2. THE LANGUAGE CCS •
Page 44 and 45: 26 CHAPTER 2. THE LANGUAGE CCS Defi
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Page 48 and 49: 30 CHAPTER 2. THE LANGUAGE CCS This
Page 50 and 51: 32 CHAPTER 2. THE LANGUAGE CCS 2. D
Page 52 and 53: 34 CHAPTER 2. THE LANGUAGE CCS To b
Page 55 and 56: Chapter 3 Behavioural equivalences
Page 57 and 58: 3.1. CRITERIA FOR A GOOD BEHAVIOURA
Page 59 and 60: 3.2. TRACE EQUIVALENCE: A FIRST ATT
Page 61 and 62: 3.3. STRONG BISIMILARITY 43 trace e
Page 63 and 64: 3.3. STRONG BISIMILARITY 45 Obvious
Page 65 and 66: 3.3. STRONG BISIMILARITY 47 So, by
Page 67 and 68: 3.3. STRONG BISIMILARITY 49 Theorem
Page 69 and 70: 3.3. STRONG BISIMILARITY 51 The imp
Page 71 and 72: 3.3. STRONG BISIMILARITY 53 Conclud
Page 73 and 74: 3.3. STRONG BISIMILARITY 55 3. the
Page 75 and 76: 3.3. STRONG BISIMILARITY 57 Recall
Page 77 and 78: 3.3. STRONG BISIMILARITY 59 B 2 0
Page 79 and 80: 3.4. WEAK BISIMILARITY 61 Is there
Page 81 and 82: 3.4. WEAK BISIMILARITY 63 Start pu
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3.4. WEAK BISIMILARITY 65 Our order
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3.4. WEAK BISIMILARITY 67 Send def
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3.4. WEAK BISIMILARITY 69 Show that
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3.4. WEAK BISIMILARITY 71 In light
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3.5. GAME CHARACTERIZATION OF BISIM
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CHAPTER 3.5. GAME CHARACTERIZATION
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3.6. FURTHER RESULTS ON EQUIVALENCE
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3.6. FURTHER RESULTS ON EQUIVALENCE
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86 CHAPTER 4. THEORY OF FIXED POINT
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Chapter 5 Hennessy-Milner logic In
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103 We are interested in using the
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105 of the one step transitions a
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1. Decide whether the following sta
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109 Note that logical negation is n
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111 Another example of a process th
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a s s1 b s2 b a a t b t1 b t
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Chapter 6 Hennessy-Milner logic wit
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CHAPTER 6. HML WITH RECURSION 117 e
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CHAPTER 6. HML WITH RECURSION 119
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6.1. EXAMPLES OF RECURSIVE PROPERTI
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6.2. SYNTAX AND SEMANTICS OF HML WI
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6.2. SYNTAX AND SEMANTICS OF HML WI
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6.3. LARGEST FIXED POINTS AND INVAR
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6.4. GAME CHARACTERIZATION FOR HML
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6.5. MUTUALLY RECURSIVE EQUATIONAL
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6.5. MUTUALLY RECURSIVE EQUATIONAL
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6.6. CHARACTERISTIC PROPERTIES 139
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6.7. MIXING LARGEST AND LEAST FIXED
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6.8. FURTHER RESULTS ON MODEL CHECK
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Chapter 7 Modelling and analysis of
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CHAPTER 7. MODELLING MUTUAL EXCLUSI
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CHAPTER 7. MODELLING MUTUAL EXCLUSI
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7.1. SPECIFYING MUTUAL EXCLUSION IN
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7.2. SPECIFYING MUTUAL EXCLUSION US
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7.2. SPECIFYING MUTUAL EXCLUSION US
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7.3. TESTING MUTUAL EXCLUSION 169 i
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7.3. TESTING MUTUAL EXCLUSION 171 D
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7.3. TESTING MUTUAL EXCLUSION 173 1
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