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In the context of deductive program verification, supporting floating-point computations is tricky. We propose an expressive language to formally specify behavioral properties of such programs. We give a first-order axiomatization of floating-point operations which allows to reduce verification to checking the validity of logic formulas, in a suitable form… (More)

- Ali Fares, Ali Ayad
- 2012

In this paper we deal with the solvability of the infinite system of differential equations x (t) = ∆(λ)x(t) + b with x(0) = a, where ∆(λ) is the triangle defined by the infinite matrix whose the nonzero entries are [∆(λ)] nn = λ n and [∆(λ)] n,n−1 = λ n−1 for all n ∈ N, for a given sequence λ and a, b are two given infinite column matrices. We use a new… (More)

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