Solving numerical constraints

Alexander Bockmayr 1 Volker Weispfenning
1 MODBIO - Computational models in molecular biology
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : 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.
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Submitted on : Tuesday, September 26, 2006 - 2:56:30 PM
Last modification on : Thursday, January 11, 2018 - 6:19:51 AM


  • HAL Id : inria-00101100, version 1



Alexander Bockmayr, Volker Weispfenning. Solving numerical constraints. A. Robinson and A. Voronkov. Handbook of Automated Reasoning, Elsevier, pp.751-842, 2001. ⟨inria-00101100⟩



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