Revisiting Neighborhood Inverse Consistency on Binary CSPs

@inproceedings{Woodward2012RevisitingNI,
  title={Revisiting Neighborhood Inverse Consistency on Binary CSPs},
  author={Robert J. Woodward and Shant Kirakos Karakashian and B. Choueiry and Christian Bessiere},
  booktitle={CP},
  year={2012}
}
Our goal is to investigate the definition and application of strong consistency properties on the dual graphs of binary Constraint Satisfaction Problems (CSPs). As a first step in that direction, we study the structure of the dual graph of binary CSPs, and show how it can be arranged in a triangle-shaped grid. We then study, in this context, Relational Neighborhood Inverse Consistency (RNIC), which is a consistency property that we had introduced for non-binary CSPs [17]. We discuss how the… 
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References

SHOWING 1-10 OF 31 REFERENCES
Solving Difficult CSPs with Relational Neighborhood Inverse Consistency
TLDR
This paper argues that defining RNIC on the dual graph unveils unsuspected opportunities to reduce the computational cost of the algorithm and increase its filtering effectiveness, and shows how to achieve those effects by modifying the topology of theDual graph, yielding new variations the RNIC property.
Conservative Dual Consistency
TLDR
It is shown that Conservative DC (CDC, i.e. DC with only relations associated with the constraints of the network considered) is more powerful, in terms of filtering, than Conservative PC (CPC), and it is observed that enforcing CDC in a preprocessing stage can significantly speed up the resolution of hard structured instances.
Second-Order Consistencies
TLDR
It is shown that enforcing (C)DC before search clearly improves the performance of MAC (the algorithm that maintains GAC during search) on several binary and non-binary structured problems.
A First Practical Algorithm for High Levels of Relational Consistency
TLDR
It is empirically show that wR(*,m)C solves in a backtrack-free manner all the instances of some CSP benchmark classes, thus hinting at the tractability of those classes.
Domain Filtering Consistencies
TLDR
This paper focuses on the local consistencies that are stronger than arc consistency, without changing the structure of the network, i.e., only removing inconsistent values from the domains.
From Restricted Path Consistency to Max-Restricted Path Consistency
TLDR
This paper proposes RPC2, a new RPC algorithm with O(end2) worst case time complexity and requiring less space than RPC1 in practice, and proposes and studies a Max-RPC algorithm based on AC-6 that was used for this comparison.
Neighborhood Inverse Consistency Preprocessing
TLDR
A new form of consistency preprocessing, neighborhood inverse consistency, can achieve more problem pruning than the usual arc consistency pre processing in a cost effective manner.
A filtering process for general constraint-satisfaction problems: achieving pairwise-consistency using an associated binary representation
TLDR
The authors provide a polynomial algorithm for achieving pairwise consistency within the constraint-satisfaction problems (CSPs) framework; then they extend the class of polynomially solvable CSPs.
Some Practicable Filtering Techniques for the Constraint Satisfaction Problem
TLDR
This paper studies and compares the ltering techniques that are more pruningful than arc consistency while leaving unchanged the set of constraints and can deal with large CSPs.
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