© 2000 Todd Neller.  A.I.M.A. text figures © 1995 Prentice Hall.  Used by permission.
K-Consistency (cont.)
•Node Consistent = (Strongly) 1-Consistent
–O(de) – d variable domain size, e binary constraints (arcs in constraint graph)
•Arc Consistent = Strongly 2-Consistent
–O(de2)
•Path Consistent = Strongly 3-Consistent
•There exists a K for each binary CSP such that enforcing strong K-consistency eliminates backtracking (no search).
•Consistency enforcement expensive for non-small K à tradeoff