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274 Process Part of POOSL execution at the place of the m(p1£ ¡ ¡ ¡£ pm) , after the output parameters are bound to variables p1 ¥¡ ¡ ¡ ¥ pm and the local method variables have been popped from the stack. Statement S p£ e 1 interrupted Sp2 ¥ Sp£ e 2 denotes that Sp£ e 1 is the portion of S p 2 was interrupted (in the past) by Sp2 . Statement Sp£ e 2 that remains to be executed before the execution control is returned to S p£ e 1 . denotes successful process termination. The three extended statements are introduced to facilitate our semantics. Now that we have defined the set Conf p of configurations, we will show how the set Act of atomic actions looks like. We will distinguish the following three kinds of actions: (1) The internal action, also known as the silent action, which is denoted as ¡ . This action reflects an internal computation which cannot be observed by the system environment. (2) Send actions of the form ch!m§ data indicating that the system can send message m, together with data data, on channel ch. (3) Receive actions of the form ch?m§ data indicating that the system is willing to receive message m with data data from channel ch. When two processes exchange a message, a deepCopy of every message parameter is passed from the sending process to the receiving one. The data part of the above send and receive actions therefore consists of a list of deepCopies, one for each message parameter. Every deepCopy will be represented by a minimal Sys-structure (see Paragraph 8.6), and every data by a list of such structures. ¡ For each n we will let Strucn Sys£ min denote the set of lists of minimal Sys-structures consisting of n elements. The set of all lists of minimal Sys-structures will be denoted by Sys£ Struc min and will range data¥¡ ¡ ¡ over . The set Act of actions can now be defined as £ ¡ ¦ Act ¢¦ where , the set of all communication actions, is £ £ data ch?m§ ¥ ¡ ¡ Sys£ ¦ ¡ ¦ ¡ ch Chan m MName and data Struc min data ch!m§ ¥ ¡ ¡ ¡ ¡ Sys£ ch Chan m MName and data Struc min ¦ ¡ a¥¡ l¥¡ ¡ ¡ ¡ Elements of will be denoted as , and elements of Act as . We now define what we mean by functions abstract action sort (AASort) and channel sort (ChSort). Both functions are defined on a number of constructs. In general the AASort of a construct is the set of all associated abstract communication actions. ChSort calculates the set of associated channels. For process configurations both functions have a particular meaning. The AASort of a process configuration is the set of abstract communication actions corresponding to those communication actions that can ever
9.5 A Computational Interleaving Semantics 275 be performed in future by that configuration. The ChSort calculates the collection of channels that can possibly ever be used for communication. The definitions of AASort and ChSort are given by AASort( BSpec e ¥ envs¥ Sys p ¥ Sys ) AASort(BSpec e ¥ Sys p ) AASort(S) ¤ ¥¡ ¡ ¡ ¥ AASort(ch!m(E1 En)) ¥¡ ¡ ¡ ¥ AASort(ch?m(p1 ¡ pn E) £ n ¦ £ ch!m§ n ¦ ch?m§ ¥¡ ¡ ¥¡ ¡ ¡ ¡ ¥ ¤ ¥ AASort(m(E1 Em)(p1 pn)) AASort(compound(S p£ e 1 ¥¡ ¡ ¡ ¥ Sp£ p£ e i )) e AASort(S1 ) ¦ ¡ ¡ ¦ AASort(Sp£ ¤ AASort( ) e i ) AASort(C pc (EP1 ¥¡ ¡ ¡ ¥ EPr)¥ Sys p ) AASort(C pc ¥ Sys p ) AASort(§ S p£ e C p E1£ ¡ ¡ ¡£ Er¢ ¥ Sys p ) AASort(C p ¥ Sys p ) AASort(§ BSpec e C c E1£ ¡ ¡ ¡£ Er¢ ¥ Sys p ) AASort(C c ¥ Sys p ) AASort(BSpec pe 1 ¢ BSpec pe 2 ¥ Sysp ) AASort(BSpec pe AASort(BSpec pe AASort(BSpec pe § f ¥ Sys p ) AASort(C pc ¥ Sys p ) L¥ Sys p ) £ £ ¡ ¡ ¡ ¡ ¢ ¡ £ ¡ 1 ¥ Sysp ¦ ) AASort(BSpec pe 2 ¥ Sysp ) la ¡ AASort(BSpecpe ¥ Sysp ¡ ) Chan(la ¡ L¦ ¡ ) f (la ¡ ) la ¡ AASort(BSpecpe ¥ Sysp )¦ £ la 1 ¥¡ ¡ ¡ ¥ la ¦ m if Sysp p CD1 ¡ ¡ CDp ¡ ¡ CD p s otherwise ¤ ChSort( BSpece Sys ¥ envs¥ p ) ChSort(BSpec ¥ Sys e ) ChSort(Sp£ £ e ) ChSort(BSpecpe Sys ¥ p ) ChSort(Cpc Sys ¥ p ) CDp ¡ class C ¡ pc ¡ ¡ ¡ message interface l ¡ a 1 ¡ ¡ la ¡ ¡ m Chan(la ¡ ) la ¡ AASort(Sp£ )¦ £ e Chan(la ¡ ) la ¡ AASort(BSpecpe ¥ Sysp £ )¦ Chan(la ¡ ) la ¡ AASort(Cpc ¥ Sysp )¦ Here compound(S p£ e 1 ¥¡ ¡ ¡ ¥ Sp£ e i ) denotes any one of the compound statements of Stat p£ e . BSpec pe , BSpec pe 1 and BSpec pe 2 denote elements of BSpecifications p ¦ BSpecifications e . Chan(l a ) retrieves the channel from abstract communication action l a . f (l a ) renames the channel of l a as dictated by f : data ) ch Chan(ch!m§ data ) ch Chan(ch?m§ i ) ch Chan(ch!m§ i ) ch Chan(ch?m§ (ch!m§ (ch)!m§ data data (ch)?m§ data (ch?m§ data (ch)!m§ i i (ch!m§ i (ch?m§ (ch)?m§ i f ) f f ) f f ) f f ) f Two other convenient operators are Abs and . This Abs takes a communication action from and calculates the corresponding abstraction. Complement operator maps an (abstract) send action to the corresponding receive action and vice versa. The definitions are Abs(ch!m§ data ) ch!m§ ¡ data ¡ Abs(ch?m§ data ) ch?m§ ¡ data ¡ ch!m§ data ch?m§ data data ch!m§ data ch?m§ i ch?m§ i ch!m§ ch?m§ i ch!m§ i
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Specification of Reactive Hardware/
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to Leny, Inge and our parents
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Contents Acknowledgements v 1 Intro
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CONTENTS ix 4.6.5 Aggregate Semanti
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CONTENTS xi 6 Modelling of Concurre
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CONTENTS xiii 6.6.7.2 System Specif
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CONTENTS xv 11.4.2.3 Requirements C
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List of Figures 1.1 Chapter Overvie
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LIST OF FIGURES xix 6.16 Strongly D
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Chapter 1 Introduction 1.1 Objectiv
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1.1 Objectives 3 understood and sti
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1.1 Objectives 5 Informal and Forma
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1.2 Thesis Organisation 7 Chapter 1
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1.2 Thesis Organisation 9 Recommend
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Chapter 2 On Specification of React
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2.3 Specifications, Models and View
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2.4 Specification Languages, Formal
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2.4 Specification Languages, Formal
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2.5 Modelling Concepts 23 entirety.
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2.5 Modelling Concepts 25 Tradition
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2.6 Activity Frameworks for Specifi
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2.6 Activity Frameworks for Specifi
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2.7 Summary 31 offer many guideline
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Chapter 3 Concepts for Analysis, Sp
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3.3 Concepts 35 3. creation of a sy
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3.5 Combining Compatible Concepts 3
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3.6 Practical Use of Concepts 39 3.
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3.6 Practical Use of Concepts 41 Th
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3.6 Practical Use of Concepts 43 ac
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3.6 Practical Use of Concepts 45 ac
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3.6 Practical Use of Concepts 47 wa
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3.6 Practical Use of Concepts 49 Ge
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3.6 Practical Use of Concepts 51 Re
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3.7 Summary and Concluding Remarks
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Chapter 4 Abstraction of a Problem
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4.1 Introduction 57 earlier phase t
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4.2 Objects 59 An object can mean t
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4.2 Objects 61 wonder what other ob
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4.3 Classes 63 A message interface
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4.3 Classes 65 Class B Attributes M
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4.4 Data Objects and Process Object
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4.5 Clusters 79 flows. Clusters ena
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4.6 Aggregates 81 Therefore a compl
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4.6 Aggregates 83 4.6.4 Clustered A
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4.6 Aggregates 85 An old philosophi
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4.7 Identity and Object Identifiers
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4.8 Properties of Composites 89 for
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4.8 Properties of Composites 91 com
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4.8 Properties of Composites 93 Whe
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4.8 Properties of Composites 95 In
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4.9 Channel Hiding 97 Servant A Sup
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4.11 Composites and Hierarchies 99
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4.12 Object Variety 101 Part class
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4.13 Object Class Models 103 Anothe
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4.13 Object Class Models 105 of obj
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4.14 Attributes and Variables 107 c
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4.14 Attributes and Variables 109 4
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4.15 Operations, Services, Methods
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4.15 Operations, Services, Methods
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4.17 Summary 115 Accidental Propert
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Chapter 5 Concepts for the Integrat
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5.2 Architecture 119 Requirements D
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5.3 Design Philosophy 121 this. The
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5.4 Essential Model and Extended Mo
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5.4 Essential Model and Extended Mo
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5.6 Architecture and Implementation
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5.7 Views 129 Management £ £ £ P
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5.7 Views 131 Behaviour Behaviour U
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5.8 Boundaries 133 5.8 Boundaries 5
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5.8 Boundaries 135 x x Object A y z
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5.8 Boundaries 137 x w w x Object A
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5.8 Boundaries 139 In Chapter 10 we
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5.9 Transformations 141 The modific
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5.10 Formalisation 143 Level 1 Leve
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5.11 Summary 145 Behaviour Requirem
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Chapter 6 Modelling of Concurrent R
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6.2 Concurrency and Synchronisation
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6.3 Communication 157 between proce
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6.3 Communication 159 or to transfo
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6.3 Communication 161 6.3.3.4 Messa
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6.3 Communication 163 Synchronous m
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6.3 Communication 165 channel-name
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6.3 Communication 167 can be descri
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6.3 Communication 169 statement aft
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6.3 Communication 171 (normalCourse
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6.3 Communication 173 ∞ client re
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6.3 Communication 175 There is a gr
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6.3 Communication 177 process A pro
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6.3 Communication 179 Clocks An int
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6.3 Communication 181 whether the s
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6.3 Communication 183 6.3.9.4 Model
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6.3 Communication 185 6.3.10.2 Desc
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6.4 Distribution 187 force to take
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6.4 Distribution 189 is that the in
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6.4 Distribution 191 links to each
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6.4 Distribution 193 6.4.6 Distribu
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6.5 Scenarios 195 entities. This su
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6.5 Scenarios 197 startJob readyToA
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6.5 Scenarios 199 collection of tex
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6.6 Dynamic Behaviour 201 selection
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6.6 Dynamic Behaviour 203 processes
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6.6 Dynamic Behaviour 205 even for
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6.6 Dynamic Behaviour 207 with the
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6.6 Dynamic Behaviour 209 6.6.4 Sep
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6.6 Dynamic Behaviour 211 6.6.5 Mod
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6.6 Dynamic Behaviour 213 to pay at
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6.6 Dynamic Behaviour 215 A method
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6.6 Dynamic Behaviour 217 to happen
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6.6 Dynamic Behaviour 219 c a Multi
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6.6 Dynamic Behaviour 221 but not t
Page 243 and 244: 6.7 Real-Time Modelling 223 claimed
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Page 247 and 248: 6.8 Summary 227 They can graphicall
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Page 251 and 252: 7.2 A Brief Language Characterisati
Page 253 and 254: 7.3 The Role of Semantics 233 7.3 T
Page 255 and 256: 7.4 Mathematical Preliminaries 235
Page 257 and 258: 7.4 Mathematical Preliminaries 237
Page 259 and 260: 7.5 Concluding Remarks 239 0 ¡ Bin
Page 261 and 262: Chapter 8 Data Part of POOSL Chapte
Page 263 and 264: 8.3 Formal Syntax 243 runk, and cun
Page 265 and 266: 8.4 Context Conditions 245 Further,
Page 267 and 268: 8.5 A Computational Semantics 247 T
Page 269 and 270: 8.5 A Computational Semantics 249 w
Page 271 and 272: 8.5 A Computational Semantics 251 s
Page 273 and 274: 8.6 Primitive deepCopy Messages 253
Page 275 and 276: 8.6 Primitive deepCopy Messages 255
Page 277 and 278: 8.7 Example: Complex Numbers 257 is
Page 279 and 280: 8.8 Summary and Concluding Remarks
Page 281 and 282: Chapter 9 Process Part of POOSL Cha
Page 283 and 284: 9.3 Formal Syntax 263 In almost any
Page 285 and 286: 9.3 Formal Syntax 265 The fourth st
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Page 289 and 290: 9.4 Context Conditions 269 We are n
Page 291 and 292: 9.5 A Computational Interleaving Se
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Page 311 and 312: 9.7 The Development of POOSL 291 is
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Page 315 and 316: 9.7 The Development of POOSL 295 e
Page 317 and 318: 9.7 The Development of POOSL 297 Em
Page 319 and 320: 9.7 The Development of POOSL 299 (o
Page 321 and 322: 9.8 Summary 301 To prepare the deve
Page 323 and 324: Chapter 10 Behaviour-Preserving Tra
Page 325 and 326: 10.2 Instance Structure Diagrams 30
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Page 329 and 330: 10.3 Some Properties of Transformat
Page 331 and 332: 10.4 A System of Basic Transformati
Page 339 and 340: 10.5 Example: The Elevator Problem
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10.5 Example: The Elevator Problem
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10.7 On the Fundamental Limitations
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10.7 On the Fundamental Limitations
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10.8 Summary 331 are transformation
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Chapter 11 SHE Framework Chapter 1
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11.2 SHE Context and Phases 335 Inf
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11.2 SHE Context and Phases 337 a p
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11.2 SHE Context and Phases 339 11.
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11.3 SHE Framework 341 the system.
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11.4 Essential Specification Modell
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11.5 Extended Specification Modelli
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Chapter 12 Case Study Chapter 1 Cha
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12.2 Initial Requirements Descripti
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12.3 The Essential Specification 37
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12.4 Towards an Extended Specificat
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12.5 Concluding Remarks 399 i1 DIST
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12.5 Concluding Remarks 401 Feeder
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Chapter 13 Conclusions and Future W
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13.2 P.H.A. van der Putten’s Cont
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13.2 P.H.A. van der Putten’s Cont
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13.4 Related Results 409 The notion
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Appendix A The POOSL Transition Sys
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A.1 The Data Part of POOSL 413 (12)
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A.2 The Process Part of POOSL 415 A
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A.2 The Process Part of POOSL 417 (
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A.2 The Process Part of POOSL 419 (
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A.2 The Process Part of POOSL 421 i
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Appendix B Proofs of Propositions a
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Proofs of Propositions and Transfor
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Appendix C Glossary of Symbols This
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Glossary of Symbols 437 267 Cp ¥¡
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References [AB90] P. America and F.
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REFERENCES 441 [C [C [C 86] B. Cohe
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REFERENCES 443 [Her90] A.J.H. Herbe
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REFERENCES 445 [MV93] S. Mauw and G
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REFERENCES 447 [vE89] P. van Eijk.
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Index abort, 297 abstract action so
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INDEX 451 strong, 190, 293 subsyste
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INDEX 453 delay, 178 do-statement,
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Summary This combined thesis descri
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Samenvatting Dit gecombineerde proe
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Curricula Vitae Piet van der Putten
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