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Communication Dans Un Congrès Année : 2006

Length-Lex Ordering for Set CSPs

Carmen Gervet
Pascal van Hentenryck
  • Fonction : Auteur


Combinatorial design problems arise in many application areas and are naturally modelled in terms of set variables and constraints. Traditionally, the domain of a set variable is specified by two sets (R,E) and denotes all sets containing R and disjoint from E. This representation has inherent difficulties in handling car-dinality and lexicographic constraints so important in combinatorial design. This paper takes a dual view of set variables. It proposes a representation that encodes directly cardinality and lexicographic information, by totally ordering a set domain with a length-lex ordering. The solver can then enforce bound-consistency on all unary constraints in time˜Otime˜ time˜O(k) where k is the set cardinality. In analogy with finite-domain solvers, non-unary constraints can be viewed as inference rules generating new unary constraints. The resulting set solver achieves a pruning (at least) comparable to the hybrid domain of Sadler and Gervet at a fraction of the computational cost.
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Dates et versions

hal-01742384 , version 1 (24-03-2018)


  • HAL Id : hal-01742384 , version 1


Carmen Gervet, Pascal van Hentenryck. Length-Lex Ordering for Set CSPs. AAAI, 2006, Boston, United States. ⟨hal-01742384⟩
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