Discussion
Why are binary constraints given special attention?
Answer: A
A higher arity constraint can be encoded with auxiliary variables into binary form, so the theory developed for the binary case covers everything in principle. In practice the encoding weakens propagation badly, which is why global constraints with their own propagators exist. Real problems abound in global constraints, propagation is not restricted to binary, and decomposition weakens rather than strengthens. A theoretical reduction that is a practical disaster is worth knowing about in both capacities.
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