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Distributed Non-binary Constraints

by Miguel Salido And, Miguel A. Salido, Federico Barber
"... Nowadays many real problems can be modeled as Constraint Satisfaction Problems (CSPs). In many situations, it is desirable to be able to state both hard constraints and soft constraints. Hard constraints must hold while soft constraints may be violated but as many as possible should be satisfied ..."
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be satisfied. Although the problem constraints can be divided into two groups, the order in which these constraints are studied can improve e#ciency, particulary in problems with non-binary constraints.

Inverse Consistencies for Non-binary Constraints

by Kostas Stergiou , Toby Walsh , 2006
"... We present a detailed study of two inverse consistencies for non-binary constraints: relational path inverse consistency (rel PIC) and pairwise inverse consistency (PWIC). These are stronger than generalized arc consistency (GAC), even though they also only prune domain values. We propose algorith ..."
Abstract - Cited by 8 (2 self) - Add to MetaCart
We present a detailed study of two inverse consistencies for non-binary constraints: relational path inverse consistency (rel PIC) and pairwise inverse consistency (PWIC). These are stronger than generalized arc consistency (GAC), even though they also only prune domain values. We propose

Inverse Consistencies for Non-binary Constraints

by unknown authors
"... Abstract. We present a detailed study of two inverse consistencies for non-binary constraints: relational path inverse consistency (rel PIC) and pairwise inverse consistency (PWIC). These are stronger than generalized arc consistency (GAC), even though they also only prune domain values. We propose ..."
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Abstract. We present a detailed study of two inverse consistencies for non-binary constraints: relational path inverse consistency (rel PIC) and pairwise inverse consistency (PWIC). These are stronger than generalized arc consistency (GAC), even though they also only prune domain values. We propose

Binary vs. non-binary constraints

by Fahiem Bacchus, Xinguang Chen, Peter Van Beek, Toby Walsh - Artificial Intelligence , 2002
"... Fellowship program. 1 There are two well known transformations from non-binary constraints to binary constraints applicable to constraint satisfaction problems (CSPs) with finite domains: the dual transformation and the hidden (variable) transformation. We perform a detailed formal comparison of the ..."
Abstract - Cited by 32 (3 self) - Add to MetaCart
Fellowship program. 1 There are two well known transformations from non-binary constraints to binary constraints applicable to constraint satisfaction problems (CSPs) with finite domains: the dual transformation and the hidden (variable) transformation. We perform a detailed formal comparison

Representation and Reasoning with Non-Binary Constraints

by Kostas Stergiou , 2001
"... Many problems from the \real world" can be eciently expressed as constraint satisfaction problems (CSPs). Most of these can be naturally modelled using n-ary (or non-binary) constraints. Representing problems with n-ary constraints and reasoning with them is therefore very important in constrai ..."
Abstract - Cited by 3 (0 self) - Add to MetaCart
Many problems from the \real world" can be eciently expressed as constraint satisfaction problems (CSPs). Most of these can be naturally modelled using n-ary (or non-binary) constraints. Representing problems with n-ary constraints and reasoning with them is therefore very important

Encodings of Non-Binary Constraint Satisfaction Problems

by Kostas Stergiou , Toby Walsh , 1999
"... We perform a detailed theoretical and empirical comparison of the dual and hidden variable encodings of non-binary constraint satisfaction problems. We identify a simple relationship between the two encodings by showing how we can translate between the two by composing or decomposing relations. ..."
Abstract - Cited by 46 (9 self) - Add to MetaCart
We perform a detailed theoretical and empirical comparison of the dual and hidden variable encodings of non-binary constraint satisfaction problems. We identify a simple relationship between the two encodings by showing how we can translate between the two by composing or decomposing relations

On Forward Checking for Non-binary Constraint Satisfaction

by Christian Bessière, Pedro Meseguer, Eugene C. Freuder, Javier Larrosa - ARTIFICIAL INTELLIGENCE , 1999
"... Solving non-binary constraint satisfaction problems, a crucial challenge for the next years, can be tackled in two different ways: translating the non-binary problem into an equivalent binary one, or extending binary search algorithms to solve directly the original problem. The latter option rai ..."
Abstract - Cited by 79 (5 self) - Add to MetaCart
Solving non-binary constraint satisfaction problems, a crucial challenge for the next years, can be tackled in two different ways: translating the non-binary problem into an equivalent binary one, or extending binary search algorithms to solve directly the original problem. The latter option

Lower Bounds for Non-binary Constraint Optimization Problems

by Pedro Meseguer, Javier Larrosa, Marti Sanchez , 2001
"... The necessity of non-binary constraint satisfaction algorithms is increasing because many real problems are inherently non-binary. Considering overconstrained problems (and Partial Forward Checking as the solving algorithm), we analyze several lower bounds proposed in the binary case, extending ..."
Abstract - Cited by 6 (1 self) - Add to MetaCart
The necessity of non-binary constraint satisfaction algorithms is increasing because many real problems are inherently non-binary. Considering overconstrained problems (and Partial Forward Checking as the solving algorithm), we analyze several lower bounds proposed in the binary case, extending

Extending GENET for Non-Binary Constraint Satisfaction Problems

by J.H.M. Lee, H.F. Leung, H.W. Won , 1995
"... GENET has been shown to be efficient and effective on certain hard or large constraint satisfaction problems. Although GENET has been enhanced to handle also the atmost and illegal constraints in addition to binary constraints, it is deficient in handling non-binary constraints in general. In this p ..."
Abstract - Cited by 4 (1 self) - Add to MetaCart
GENET has been shown to be efficient and effective on certain hard or large constraint satisfaction problems. Although GENET has been enhanced to handle also the atmost and illegal constraints in addition to binary constraints, it is deficient in handling non-binary constraints in general

Encodings of Non-Binary Constraint Satisfaction Problems

by unknown authors
"... We perform a detailed theoretical and empirical comparison of the dual and hidden variable encodings of non-binary constraint satisfaction problems. We identify a simple relationship between the two encodings by showing how we can translate between the two by composing or decomposing relations. This ..."
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We perform a detailed theoretical and empirical comparison of the dual and hidden variable encodings of non-binary constraint satisfaction problems. We identify a simple relationship between the two encodings by showing how we can translate between the two by composing or decomposing relations
Results 1 - 10 of 319,851