Symmetry breaking in numeric constraint problems

  • Authors:
  • Alexandre Goldsztejn;Christophe Jermann;Vicente Ruiz de Angulo;Carme Torras

  • Affiliations:
  • Université de Nantes/CNRS LINA UMR-6241, Nantes, France;Université de Nantes/CNRS LINA UMR-6241, Nantes, France;Université de Nantes/CNRS LINA UMR-6241, Nantes, France;Institut de Robòtica i Informàtica Industrial (CSIC-UPC), Barcelona, Spain

  • Venue:
  • CP'11 Proceedings of the 17th international conference on Principles and practice of constraint programming
  • Year:
  • 2011

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Abstract

Symmetry-breaking constraints in the form of inequalities between variables have been proposed for a few kind of solution symmetries in numeric CSPs. We show that, for the variable symmetries among those, the proposed inequalities are but a specific case of a relaxation of the well-known LEX constraints extensively used for discrete CSPs. We discuss the merits of this relaxation and present experimental evidences of its practical interest.