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Filtering Algorithms for the Same and UsedBy Constraints

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons44744

Katriel,  Irit
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45615

Thiel,  Sven
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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Citation

Beldiceanu, N., Katriel, I., & Thiel, S. (2006). Filtering Algorithms for the Same and UsedBy Constraints. Archives of Control Sciences, 16(2), 191-220.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-248D-1
Abstract
We define the \Same\ and \UsedBy\ constraints. \UsedBy\ takes two sets of variables $X$ and $Z$ such that $|X|\ge |Z|$ and assigns values to them such that the multiset of values assigned to the variables in $Z$ is contained in the multiset of values assigned to the variables in $X$. \Same\ is the special case of \UsedBy\ in which $|X|=|Z|$. We show algorithms that achieve arc-consistency and bound-consistency for these constraints.