Binary vs. non-binary constraints

F Bacchus, X Chen, P Van Beek, T Walsh - Artificial Intelligence, 2002 - Elsevier
… , the choice of binary or non-binary constraints can have a … general (non-binary) CSP model
into an equivalent binary CSP… choosing between binary and non-binary constraints. Further, …

[PDF][PDF] On the conversion between non-binary and binary constraint satisfaction problems

F Bacchus, P Van Beek - AAAI/IAAI, 1998 - cdn.aaai.org
… on the corresponding non-binary CSP. We present both … translating a non-binary CSP
into a binary representation can … translating between non-binary and binary representations. …

Non-binary constraints

C Bessiere - … Conference on Principles and Practice of Constraint …, 1999 - Springer
… of the constraint satisfaction paradigm, its restriction to binary … more subject to thrashing than
on binary networks [1]. Local … of constraint reasoning, must also be applied in the non-binary

Binary encodings of non-binary constraint satisfaction problems: Algorithms and experimental results

N Samaras, K Stergiou - Journal of Artificial Intelligence Research, 2005 - jair.org
… Finally, it is important to point out that the use of a binary encoding does … non-binary constraints
in a problem into binary, as it is commonly perceived. If we are selective in the constraints

Domain filtering consistencies for non-binary constraints

C Bessiere, K Stergiou, T Walsh - Artificial Intelligence, 2008 - Elsevier
… for non-binary problems. We also consider their pruning power in the case where we only
have binary constraints. … for binary problems, when restricted to binary constraints they do not …

[PDF][PDF] Encodings of Non-Binary Constraint Satisfaction Problems.

K Stergiou, T Walsh - AAAI/IAAI, 1999 - cdn.aaai.org
… We can solve a non-binary CSP either by … to non-binary constraints or by translating it into
a binary CSP. There exist two well known methods for translating non-binary CSPs into binary

Partition search for non-binary constraint satisfaction

JR Ullmann - Information Sciences, 2007 - Elsevier
… than when the benchmark non-binary reduction search algorithm GAC2001 [14] is used. …
This may be helpful with binary constraints but it is certainly not necessary in the present context…

On forward checking for non-binary constraint satisfaction

C Bessiere, P Meseguer, EC Freuder, J Larrosa - Artificial Intelligence, 2002 - Elsevier
… different ways in which binary FC can be generalized into non-binary versions. In Section 4,
… designed to deal with the hidden binary formulation of non-binary problems. In Section 5, we …

[PDF][PDF] Using auxiliary variables and implied constraints to model non-binary problems

BM Smith, K Stergiou, T Walsh - AAAI/IAAI, 2000 - cdn.aaai.org
… and implied constraints in modelling a class of non-binary constraint satisfaction problems
… We identify a large number of different models, both binary and non-binary, and compare …

Inverse consistencies for non-binary constraints

K Stergiou, T Walsh - FRONTIERS IN ARTIFICIAL …, 2006 - books.google.com
… few such consistencies have been proposed for non-binary constraints. In this paper, we …
PIC when restricted to binary constraints, while for non-binary constraints rel PIC and PWIC …