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\section{Introduction}
$$ \int_{0\-}^{\infty} f(t).e^{-s.t}.dt \; | \; s \in C$$
$$ \int_{0\-}^{\infty} f(t).e^{-s.t}.dt \; | \; s \in \mathcal{C}$$
This thesis describes the application of, mathematical (formal) techniques to
the design of safety critical systems.