UML 2 SEMANTICS AND APPLICATIONS -- CONTENTS -- CONTRIBUTORS -- PREFACE -- 1 INTRODUCTION TO THE UNIFIED MODELING LANGUAGE -- 1.1 Introduction -- 1.2 Class Diagrams -- 1.3 Object Diagrams -- 1.4 Use Cases -- 1.5 State Machines -- 1.6 Object Constraint Language -- 1.7 Interaction Diagrams -- 1.8 Activity Diagrams -- 1.9 Deployment Diagrams -- 1.10 Relationships Between UML Models -- 1.11 Summary -- 2 THE ROLE OF SEMANTICS -- 2.1 Introduction -- 2.2 Different Semantic Approaches -- 2.3 Applications of Semantics -- 2.4 UML Semantics -- 2.5 Applications of Semantics to UML -- 2.6 Application of Semantics to the Use of UML -- 2.7 Summary -- 3 CONSIDERATIONS AND RATIONALE FOR A UML SYSTEM MODEL -- 3.1 Introduction -- 3.2 General Approach to Semantics -- 3.3 Structuring the Semantics of UML -- 3.4 The Math Behind the System Model -- 3.5 What Is the System Model? -- 3.6 Usage Scenarios -- 3.7 Concluding Remarks -- 4 DEFINITION OF THE SYSTEM MODEL -- 4.1 Introduction -- 4.2 Notational Conventions -- 4.3 Static Part of the System Model -- 4.4 Control Part of the System Model -- 4.5 Messages and Events in the System Model -- 4.6 Object State -- 4.7 Event-Based Object Behavior -- 4.8 Timed Object Behavior -- 4.9 The System Model Definition -- Appendix A.1 State Transition Systems -- Appendix A.2 Timed State Transition Systems -- 5 FORMAL DESCRIPTIVE SEMANTICS OF UML AND ITS APPLICATIONS -- 5.1 Introduction -- 5.2 Definition of Descriptive Semantics in FOPL -- 5.3 The LAMBDES Tool -- 5.4 Applications Using Model and Metamodel Analysis -- 5.5 Conclusions -- 6 AXIOMATIC SEMANTICS OF UML CLASS DIAGRAMS -- 6.1 Introduction -- 6.2 Real-Time Action Logic -- 6.3 Semantics of Class Diagrams -- 6.4 Application of the Semantics -- 6.5 Related Work -- 6.6 Conclusions -- 7 OBJECT CONSTRAINT LANGUAGE: METAMODELING SEMANTICS -- 7.1 Introduction.

7.2 Metamodeling Semantics -- 7.3 OCL Semantics: Types and Values -- 7.4 OCL Semantics: Expressions and Evaluations -- 7.5 Summary and Conclusions -- 8 AXIOMATIC SEMANTICS OF STATE MACHINES -- 8.1 Introduction -- 8.2 State Machine Semantics -- 8.3 Extended State Machines -- 8.4 Semantics for Extended State Machines -- 8.5 Solutions for Semantic Problems -- 8.6 Structured Behavior State Machines -- 8.7 Related Work -- 8.8 Summary -- 9 INTERACTIONS -- 9.1 Introduction -- 9.2 Trace-Based Semantics -- 9.3 Alternative Semantics -- 9.4 Implementation and Refinement -- 9.5 Verification and Validation -- 10 CO-ALGEBRAIC SEMANTIC FRAMEWORK FOR REASONING ABOUT INTERACTION DESIGNS -- 10.1 Introduction -- 10.2 Why Co-algebras? -- 10.3 A Semantics for UML Sequence Diagrams -- 10.4 New Sequence Diagrams from Old -- 10.5 Coercions and Designs -- 10.6 A Calculus for Interactions -- 10.7 Concluding Remarks -- 11 SEMANTICS OF ACTIVITY DIAGRAMS -- 11.1 Introduction -- 11.2 Semantics of Structured Activities -- 11.3 Semantics of Intermediate Activities -- 11.4 Data Flow Semantics -- 11.5 Semantic Analysis -- 11.6 Related Work -- 11.7 Summary -- 12 VERIFICATION OF UML MODELS -- 12.1 Introduction -- 12.2 Class Diagrams -- 12.3 State Machine Diagrams -- 12.4 Sequence Diagrams -- 12.5 Summary -- 13 DESIGN VERIFICATION WITH STATE INVARIANTS -- 13.1 Introduction -- 13.2 Preliminaries -- 13.3 Statechart Structure -- 13.4 Configurations and Operations -- 13.5 State Invariant Verification -- 13.6 Accumulated Invariants -- 13.7 Verification Condition Generation -- 13.8 Priority Among Transitions -- 13.9 Conclusions -- 14 MODEL TRANSFORMATION SPECIFICATION AND VERIFICATION -- 14.1 Introduction -- 14.2 Categories of Model Transformation -- 14.3 Specification of Model Transformations -- 14.4 Refinement Transformations -- 14.5 Quality Improvement Transformations.

14.6 Design Patterns -- 14.7 Enhancement Transformations -- 14.8 Implementation of Model Transformations -- 14.9 Summary -- INDEX.