Toward the Integration of Numerical Computations into the OMSCS Framework

Jacques Calmet (1) , Vincent Lefèvre (2)

1 TH - Universität Karlsruhe
2 SPACES - Solving problems through algebraic computation and efficient software

Computer algebra systems and automated theorem provers, which have complementary abilities, can be integrated to form an Open Mechanized Symbolic Computation System (OMSCS). This framework could be extended to integrate numerical computation systems. This paper aims at showing what problems can occur when dealing with numerical computations and what can be done to solve them or at least to provide a clear meaning of a numerical result; it constitutes a step toward this integration.

Mots clés: fixed-point arithmetic; preuve formelle; formal proof; numerical computation; floating-point arithmetic; calcul numérique; arithmétique virgule flottante; arithmétique virgule fixe

Domaines: Autre [cs.OH]

Jacques Calmet, Vincent Lefèvre. Toward the Integration of Numerical Computations into the OMSCS Framework. 7th International Workshop on Computer Algebra in Scientific Computing - CASC'2004, 2004, Saint Petersburg, Russia, pp.71-79. ⟨inria-00099920⟩