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Using Bidirectionality to Speed Up Arc-Consistency Processing
| Citations: | 10 - 1 self |
BibTeX
@MISC{Bessière_usingbidirectionality,
author = {Christian Bessière and Jean-Charles Régin},
title = {Using Bidirectionality to Speed Up Arc-Consistency Processing},
year = {}
}
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Abstract
In [Bes94a, BC93], Bessi`ere and Cordier said that the AC-6 arc-consistency algorithm is optimal in time on constraint networks where nothing is known about the constraint semantics. However, in constraint networks, it is always assumed that constraints are bidirectional. None of the previous algorithms achieving arc-consistency (AC-3 [Mac77, MF85], AC-4 [MH86], AC-6) use constraint bidirectionality. We propose here an improved version of AC-6 which uses this property. Then, we claim that our new algorithm is optimal in the number of constraint checks performed (i.e. given a variable, value, and arc ordering, it performs the minimum possible number of constraint checks according to these orders).
