Mathematical Methods in Program Development [Paperback]

Modern information processing systems show such complex properties as distribution, parallelism, interaction, time dependency, and nondeterminism. For critical applications, mathematical methods are needed to model the systems and to support their development and validation. Impressive progress in mathematical methods for programming software systems makes it possible to think about unifying the different approaches. This book gives a comprehensive overview of existing methods and presents some of the most recent results in applying them. The main topics are: advanced programming techniques, foundations of systems engineering, mathematical support methods, and application of the methods. The approaches presented are illustrated by examples and related to other approaches.Proceedings of the NATO Advanced Study Institute on Mathematical Methods in Program Development, held in Marktoberdorf, Germany, July 30 - August 11, 1996Modern information processing systems show such complex properties as distribution, parallelism, interaction, time dependency, and nondeterminism. For critical applications, mathematical methods are needed to model the systems and to support their development and validation. Impressive progress in mathematical methods for programming software systems makes it possible to think about unifying the different approaches. This book gives a comprehensive overview of existing methods and presents some of the most recent results in applying them. The main topics are: advanced programming techniques, foundations of systems engineering, mathematical support methods, and application of the methods. The approaches presented are illustrated by examples and related to other approaches.Eliminating the ChaffAgain: Banquet Speech at Marktoberdorf 1996.- Envoi at Marktoberdorf 1996.- 0. Designing Proofs and Programs.- Heuristics for a Very Simple Euclidean Proof (EWD1180).- Complete DAGs (EWD1204).- A Result of Rabbit Removal (EWD1208).- For the Record: Painting thl3‹