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Download B’98: Recent Advances in the Development and Use of the B by Jean -Raymond Abrial (auth.), Didier Bert (eds.) PDF

By Jean -Raymond Abrial (auth.), Didier Bert (eds.)

This ebook offers the refereed lawsuits of the second one foreign B convention, B'98, held in Montpellier, France, in April 1998.
The e-book provides 15 revised complete papers chosen from 29 submissions in addition to 4 invited contributions. The B process is having fun with quickly expanding acceptance for the specification and layout of software program. The ebook covers all points of the B expertise, together with introductory and methodological concerns, theoretical investigations and business functions, B extension proposals and help instruments, in addition to comparisons or integration with different formal equipment for software program development.

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Additional info for B’98: Recent Advances in the Development and Use of the B Method: Second International B Conference Montpellier, France, April 22–24, 1998 Proceedings

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Finally, we show how restrictions on the architecture of software systems may guarantee these conditions. 1 Introduction Modularity is pointed out as a principle allowing to master the complexity of software development or maintenance. A modular method must help designers to produce software systems from autonomous components. Modularity must be offered at each level of software development: programming as well as specification and design. In the framework of formal methods, modules or components correspond to syntactic entities which can be combined by composition primitives.

In this paper, we introduce a deduction system that allows to reason in a two-valued logic if new proof obligations called well-definedness lemmas are also proved. We define this deduction s y s t e m and the new proof obligations that ensure the well-definedness of B components. The practical benefits on the proof mechanisms are then outlined. 1 Introduction Most of the time, in m a t h e m a t i c s , we are not interested in reasoning a b o u t meaningless expressions i . If a division by 0 occurs in a d e m o n s t r a t i o n , we usually consider it to be faulty and skip the d e m o n s t r a t i o n .

In machines the definition of Ar is based on the mathematical domain whereas in implementations it is based on the domain of the corresponding function in the programming language. maxint ). 6 Conclusion How to deal with the meaningless expressions that may occur in formal models without disturbing engineers which unnecessary mathematical complexities? This paper answers, in the context of the B method, by an original approach in which new proofs obligations, the A-lemmas, have to be discharged before the proof obligations of the method.

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