K-consistency
n Arc Consistency (2-consistency) can be extended to k-
consistency
n 3-consistency (path consistency): any pair of adjacent
variables can always be extended to a third neighbor.
n Catches problem with Dx, Dy and Dz, as assignment of Dz = 2 and
Dx = 3 will lead to domain wipe out.
n But is expensive, exponential time
n n-consistency means the problem is solvable in linear time
n As any selection of variables would lead to a solution
n In general, need to strike a balance between consistency
and search.
n This is usually done by experimentation.