Abstract
In the domain of safety-critical control systems, the Lustre/SCADE development environment has proved its value, with notable achievements such as the Hong Kong subway signaling system and Airbus A380 flight controls. The interest of the approach comes from the synchronous data-flow style of the Lustre language which makes it well-adapted to the culture of control engineers. Moreover Lustre is endowed with simple formal semantics which makes it amenable to formal development. The currently running Flush project consists in building a formal system development tool on top of Lustre, by taking advantage of the language formal properties. To this end, a refinement calculus is defined, encompassing both functional and temporal aspects. Refinement proof obligations are generated, and several proof approaches can be used to discharge them: model-checking, abstract interpretation, and theorem proving through repeated induction and, finally translation to PVS proof obligations. The resulting methodology is illustrated on the island example used by J.R. Abrial for presenting the B system method.
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