This article presents the design of a new functional 2D image segmentation algorithm by cell merging in a subdivision, its proof of total correctness, and the derivation of an opt...
This paper reports on the development and formal certification (proof of semantic preservation) of a compiler from Cminor (a Clike imperative language) to PowerPC assembly code, u...
Verification conditions (VCs) are logical formulae whose validity implies the correctness of a program with respect to a specification. The technique of checking software properti...
We present a formalization of a proof of self-stabilization in the Coq proof assistant. Coq is a program allowing to define mathematical objects and properties, and to make proof...
In this paper we will present a formal framework, based on the notion of extraction calculus, which has been successfully applied to define procedures for extracting information fr...