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Foundations of the B method

Dominique Cansell 1 Dominique Méry 1 
1 MOSEL - Proof-oriented development of computer-based systems
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : B is a method for specifying, designing and coding software systems. It is based on the Zermelo-Fraenkel set theory with choice axiom, the concept of generalized substitution and on structuring mechanisms (machine, refinement, implementation). The concept of refinement is the key notion for developing B models of (software) systems in an incremental way. B activities focus on writing mathematical proofs in order to justify developed B models. Proofs of B models makes the user (designer or specifier) convinced that the (software) system is effectively correct. We provide a survey of the underlying logic of the B method and the semantical concepts related to the B method; we detail the B development process partially supported by the mechanical engine of the prover.
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Submitted on : Tuesday, September 26, 2006 - 9:41:17 AM
Last modification on : Friday, February 4, 2022 - 3:34:49 AM


  • HAL Id : inria-00099794, version 1



Dominique Cansell, Dominique Méry. Foundations of the B method. Computing and Informatics, 2003, 22, 31 p. ⟨inria-00099794⟩



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