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