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This volume contains mainly the revised versions of papers presented at the wo- shop '98, "Beyond the Notation", that took place in Mulhouse, France on June 3-4, 1998. We thank all those that have made this possible, and particularly all the people in Mulhouse that worked hard to make this meeting a success, with such a short delay between the announcement and the realization. We are specially grateful to Nathalie Gaertner, who put in a tremendous amount of effort in the initial preparation of the workshop. We were pleasantly surprised of the quality of the submitted material and of the level of the technical exchanges at the Mulhouse meeting. More than one hundred attendees, from about twenty different countries, representing the main actors in the UML research and development scene, gathered in Mulhouse for two full study days. We would like to express our deepest appreciation to the authors of submitted - pers, the editorial committee for this volume, the program committee for the initial workshop, the external referees, and many others who contributed towards the final contents of this volume. April 1999 Jean Bézivin Pierre-Alain Muller.

Object-oriented methods (Computer science) --- UML (Computer science) --- 681.3*D21 --- Unified Modeling Language (Computer science) --- Computer software --- Modeling languages (Computer science) --- 681.3*D21 Requirements/specifications: languages; methodologies; tools (Software engineering)--See also {681.3*D31} --- Requirements/specifications: languages; methodologies; tools (Software engineering)--See also {681.3*D31} --- Development --- Object-oriented methods (Computer science) - Congresses --- UML (Computer science) - Congresses

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681.3*F31 --- 681.3*F31 Specifying anf verifying and reasoning about programs: assertions invariants mechanical verification pre- and post-conditions (Logics and meanings of programs)--See also {681.3*D21} {681.3*D24} {681.3*D31} {681.3*E1} --- Specifying anf verifying and reasoning about programs: assertions invariants mechanical verification pre- and post-conditions (Logics and meanings of programs)--See also {681.3*D21} {681.3*D24} {681.3*D31} {681.3*E1} --- 681.3*F31 Specifying anf verifying and reasoning about programs: assertions; invariants; mechanical verification; pre- and post-conditions (Logics and meanings of programs)--See also {681.3*D21}; {681.3*D24}; {681.3*D31}; {681.3*E1} --- Specifying anf verifying and reasoning about programs: assertions; invariants; mechanical verification; pre- and post-conditions (Logics and meanings of programs)--See also {681.3*D21}; {681.3*D24}; {681.3*D31}; {681.3*E1} --- Computer science --- Mobile computing --- Pi-calculus --- Telecommunication systems

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Programming --- Computer software --- Specifications --- -681.3*D2 --- 681.3*D21 --- Software, Computer --- Computer systems --- Software engineering: protection mechanisms; standards--See also {681.3*K63}; {681.3*K51} --- Requirements/specifications: languages; methodologies; tools (Software engineering)--See also {681.3*D31} --- Specifications. --- 681.3*D21 Requirements/specifications: languages; methodologies; tools (Software engineering)--See also {681.3*D31} --- 681.3*D2 Software engineering: protection mechanisms; standards--See also {681.3*K63}; {681.3*K51} --- 681.3*D2 --- Computer software - Specifications

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Programming --- Computer software --- Logiciels --- Development --- Développement --- Computer programming --- -681.3*D21 --- 681.3*D22 --- 681.3*D24 --- Software, Computer --- Computer systems --- Requirements/specifications: languages; methodologies; tools (Software engineering)--See also {681.3*D31} --- Tools and techniques: decision tables; flow charts; modules and interfaces; programmer workbench; software libraries; structured programming; top-down programming; user interfaces (Software engineering) --- Program verification: assertion checkers; correctness proofs; reliability; validation (Software engineering)--See also {681.3*F31} --- Programmeren: software --- Development. --- Programmeren: software. --- 681.3*D24 Program verification: assertion checkers; correctness proofs; reliability; validation (Software engineering)--See also {681.3*F31} --- 681.3*D22 Tools and techniques: decision tables; flow charts; modules and interfaces; programmer workbench; software libraries; structured programming; top-down programming; user interfaces (Software engineering) --- 681.3*D21 Requirements/specifications: languages; methodologies; tools (Software engineering)--See also {681.3*D31} --- 681.3*D21 --- Development of computer software --- Software development --- Computer software - Development --- Data Type --- Algorithm --- Program Theory --- proof

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The hierarchical decomposition of programs into smaller ones is generally considered imperative to master the complexity of large programs. The impact of this principle of program decomposition on the specification and verification of parallel executed programs is the subject of this monograph. Two important yardsticks for verification methods, those of compositionality and modularity, are made precise. The problem of reusing software is addressed by the introduction of the notion of specification adaptation. Within this context, different methods for specifying the observable behavior with respect to partial correctness of communicating processes are considered, and in particular the contrast between the "programs are predicates" and the "programs are predicate transformers" paradigms is shown. The associated formal proof systems are proven sound and complete in various senses with respect to the denotational semantics of the programming language, and they are related to each other to give an in-depth comparison between the different styles of program verification. The programming language TNP used here is near to actual languages like Occam. It combines CCS/CSP style communication based programming with state based programming, and allows dynamically expanding and shrinking networks of processes.

Programming --- Automatic theorem proving --- Parallel processing (Electronic computers) --- 681.3*D21 --- 681.3*D24 --- 681.3*D31 --- 681.3*F31 --- Requirements/specifications: languages; methodologies; tools (Software engineering)--See also {681.3*D31} --- Program verification: assertion checkers; correctness proofs; reliability; validation (Software engineering)--See also {681.3*F31} --- Formal definitions and theory: semantics; syntax (Programming languages)--See also {681.3*D21}; {681.3*F31}; {681.3*F32}; {681.3*F42}; {681.3*F43} --- Specifying anf verifying and reasoning about programs: assertions; invariants; mechanical verification; pre- and post-conditions (Logics and meanings of programs)--See also {681.3*D21}; {681.3*D24}; {681.3*D31}; {681.3*E1} --- 681.3*F31 Specifying anf verifying and reasoning about programs: assertions; invariants; mechanical verification; pre- and post-conditions (Logics and meanings of programs)--See also {681.3*D21}; {681.3*D24}; {681.3*D31}; {681.3*E1} --- 681.3*D31 Formal definitions and theory: semantics; syntax (Programming languages)--See also {681.3*D21}; {681.3*F31}; {681.3*F32}; {681.3*F42}; {681.3*F43} --- 681.3*D24 Program verification: assertion checkers; correctness proofs; reliability; validation (Software engineering)--See also {681.3*F31} --- 681.3*D21 Requirements/specifications: languages; methodologies; tools (Software engineering)--See also {681.3*D31} --- Théorèmes --- Parallélisme (Informatique) --- Démonstration automatique --- Théorèmes --- Parallélisme (Informatique) --- Démonstration automatique --- Logic design. --- Software engineering. --- Computer science. --- Logics and Meanings of Programs. --- Software Engineering. --- Programming Languages, Compilers, Interpreters. --- Computer software engineering --- Engineering --- Informatics --- Science --- Design, Logic --- Design of logic systems --- Digital electronics --- Electronic circuit design --- Logic circuits --- Machine theory --- Switching theory --- Lncs --- Concurrency