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Chapitre D'ouvrage Année : 2001

Solving numerical constraints

Volker Weispfenning
  • Fonction : Auteur
Michael Maher
  • Fonction : Auteur

Résumé

This paper considers numerical constraint solving in the context of automated reasoning. We are mainly interested in logical aspects of numerical constraints. We view them as atomic formulae in first-order predicate logic that are interpreted over some numerical domain like the real, rational, or integer numbers. We will present various inference systems for reasoning with numerical constraints, describe the algebraic and geometric structure of their solution set, and present fundamental algorithms for deciding satisfiability, computing one or all solutions, and deducing new constraints.

Domaines

Autre [cs.OH]
Fichier non déposé

Dates et versions

inria-00101100 , version 1 (26-09-2006)

Identifiants

Citer

Alexander Bockmayr, Volker Weispfenning, Michael Maher. Solving numerical constraints. A. Robinson and A. Voronkov. Handbook of Automated Reasoning, Elsevier; Elsevier, pp.751-842, 2001, 978-0-444-50813-3. ⟨10.1016/B978-044450813-3/50014-X⟩. ⟨inria-00101100⟩
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