Title
Weakly Monotonic Propagators
Abstract
Today’s models for propagation-based constraint solvers require propagators as implementations of constraints to be at least contracting and monotonic. These models do not comply with reality: today’s constraint programming systems actually use non-monotonic propagators. This paper introduces the first realistic model of constraint propagation by assuming a propagator to be weakly monotonic (complying with the constraint it implements). Weak monotonicity is shown to be the minimal property that guarantees constraint propagation to be sound and complete. The important insight is that weak monotonicity makes propagation in combination with search well behaved. A case study suggests that non-monotonicity can be seen as an opportunity for more efficient propagation.
Year
DOI
Venue
2009
10.1007/978-3-642-04244-7_56
Principles and Practice of Constraint Programming
Keywords
Field
DocType
efficient propagation,weakly monotonic propagator,constraint programming system,weak monotonicity,constraint propagation,nonmonotonic propagator,propagation-based constraint solvers,minimal property,case study,important insight,weakly monotonic,constraint programming,computer science
Constraint satisfaction,Monotonic function,Discrete mathematics,Mathematical optimization,Local consistency,Computer science,Constraint programming,Constraint satisfaction problem,Propagator,Constraint logic programming,Binary constraint
Conference
Volume
ISSN
ISBN
5732
0302-9743
3-642-04243-0
Citations 
PageRank 
References 
5
0.44
13
Authors
2
Name
Order
Citations
PageRank
Christian Schulte138733.89
Guido Tack237727.56