... is non- binary binary binary if its arity is two, or non- if all of its constraints are unary or binary; Two constraints ci and cj are equivalent, written as if they express the same relations and ... propagation algorithms for non- binary constraints with dierent representations Some of these constraints, e.g regular and grammar constraints, can also be thought as table constraints We rst propose ... DESIGNING AND OPTIMIZING REPRESENTATIONS FOR NON- BINARY CONSTRAINTS WEI XIA B.Eng., Northeastern University (China), 2009 A THESIS SUBMITTED FOR THE DEGREE OF DOCTOR...