Box Consistency through Weak Box Consistency

نویسندگان

  • Laurent Granvilliers
  • Frédéric Goualard
  • Frédéric Benhamou
چکیده

Interval constraint solvers use local consistencies— among which one worth mentioning is box consistency— for computing verified solutions of real constraint systems. Though among the most efficient ones, the algorithm for enforcing box consistency suffers from the use of timeconsuming operators. This paper first introduces boxφ consistency, a weakening of box consistency; this new notion then allows us to devise an adaptive algorithm that computes box consistency by enforcing boxφ consistency, decreasing the φ parameter as variables’ domains get tightened, then achieving eventually box0 consistency, which is equivalent to box consistency. A new propagation algorithm is also given, that intensifies the use of the most contracting pruning functions based on boxφ consistency. The resulting algorithm is finally shown to outperform the original scheme for enforcing box consistency on a set of standard

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تاریخ انتشار 1999