The definitive book on the B Method; essential for all working in formal methods and safety-critical software.The B method is a means for specifying, designing and coding software systems. The long-awaited B Book is the standard reference for everything concerning this method. J-R Abrial, the inventor of B, has written the book in such a way that it can be used for self-study or for reference. With its appearance, formal methods practitioners, computer scientists, and systems developers at last will have access to the definitive account of what will become one of the standard approaches to the construction of software systems.The B method is a means for specifying, designing and coding software systems. The long-awaited B Book is the standard reference for everything concerning this method. J-R Abrial, the inventor of B, has written the book in such a way that it can be used for self-study or for reference. With its appearance, formal methods practitioners, computer scientists, and systems developers at last will have access to the definitive account of what will become one of the standard approaches to the construction of software systems.The B method is a means for specifying, designing and coding software systems. The long-awaited B Book is the standard reference for everything concerning this method. It contains the mathematical basis on which it is founded, the precise definitions of the notations used, and a large number of examples illustrating its use in practice. J.-R. Abrial, the inventor of B, has written the book in such a way that it can be used for self-study or for reference. It is in four parts, the first dealing with the mathematical foundations, including a systematic construction of predicate logic and set theory, and the definition of the various mathematical structures that are needed to formalize software systems; the author places special emphasis on the notion of proof. The second part contains a presentation of the Generalized Substitution Llă%