SAT Encoding and CSP Reduction for Interconnected Alldiff Constraints

  • Authors:
  • Frederic Lardeux;Eric Monfroy;Frederic Saubion;Broderick Crawford;Carlos Castro

  • Affiliations:
  • LERIA, Université d'Angers, France;Universidad Técnica Federico Santa María, Valparaíso, Chile and LINA, Université de Nantes, France;LERIA, Université d'Angers, France;Universidad Técnica Federico Santa María, Valparaíso, Chile and Pontificia Universidad CatÓlica de ValparaÍso, PUCV, Chile;Universidad Técnica Federico Santa María, Valparaíso, Chile

  • Venue:
  • MICAI '09 Proceedings of the 8th Mexican International Conference on Artificial Intelligence
  • Year:
  • 2009

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Abstract

Constraint satisfaction problems (CSP) or Boolean satisfiability problem (SAT) are two well known paradigm to model and solve combinatorial problems. Modeling and resolution of CSP is often strengthened by global constraints (e.g., Alldiff constraint). This paper highlights two different ways of handling specific structural information: a uniform propagation framework to handle (interleaved) Alldiff constraints with some CSP reduction rules; and a SAT encoding of these rules that preserves the reduction properties of CSP.