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Home / Proceedings / Proceedings of the AAAI Conference on Artificial Intelligence, 25 / No. 1: Twenty-Fifth AAAI Conference on Artificial Intelligence

Solving Difficult CSPs with Relational Neighborhood Inverse Consistency

March 8, 2023

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Authors

Robert Woodward

University of Nebraska-Lincoln


Shant Karakashian

University of Nebraska-Lincoln


Berthe Choueiry

University of Nebraska-Lincoln


Christian Bessiere

University of Montpellier


DOI:

10.1609/aaai.v25i1.7825


Abstract:

Freuder and Elfe (1996) introduced Neighborhood Inverse Consistency (NIC) as a strong local consistency property for binary CSPs. While enforcing NIC can significantly filter the variables domains, the proposed algorithm is too costly to be used on dense graphs or for lookahead during search. In this paper, we introduce and characterize Relational Neighborhood Inverse Consistency (RNIC) as a local consistency property that operates on the dual graph of a non-binary CSP. We describe and characterize a practical algorithm for enforcing it. We argue that defining RNIC on the dual graph unveils unsuspected opportunities to reduce the computational cost of our algorithm and increase its filtering effectiveness. We show how to achieve those effects by modifying the topology of the dual graph, yielding new variations the RNIC property. We also introduce an adaptive strategy to automatically select the appropriate property to enforce given the connectivity of the dual graph. We integrate the resulting techniques as full lookahead strategies in a backtrack search procedure for solving CSPs, and demonstrate the effectiveness of our approach for solving known difficult benchmark problems.

Topics: AAAI

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HOW TO CITE:

Robert Woodward|| Shant Karakashian|| Berthe Choueiry|| Christian Bessiere Solving Difficult CSPs with Relational Neighborhood Inverse Consistency Proceedings of the AAAI Conference on Artificial Intelligence, 25 (2011) 112.

Robert Woodward|| Shant Karakashian|| Berthe Choueiry|| Christian Bessiere Solving Difficult CSPs with Relational Neighborhood Inverse Consistency AAAI 2011, 112.

Robert Woodward|| Shant Karakashian|| Berthe Choueiry|| Christian Bessiere (2011). Solving Difficult CSPs with Relational Neighborhood Inverse Consistency. Proceedings of the AAAI Conference on Artificial Intelligence, 25, 112.

Robert Woodward|| Shant Karakashian|| Berthe Choueiry|| Christian Bessiere. Solving Difficult CSPs with Relational Neighborhood Inverse Consistency. Proceedings of the AAAI Conference on Artificial Intelligence, 25 2011 p.112.

Robert Woodward|| Shant Karakashian|| Berthe Choueiry|| Christian Bessiere. 2011. Solving Difficult CSPs with Relational Neighborhood Inverse Consistency. "Proceedings of the AAAI Conference on Artificial Intelligence, 25". 112.

Robert Woodward|| Shant Karakashian|| Berthe Choueiry|| Christian Bessiere. (2011) "Solving Difficult CSPs with Relational Neighborhood Inverse Consistency", Proceedings of the AAAI Conference on Artificial Intelligence, 25, p.112

Robert Woodward|| Shant Karakashian|| Berthe Choueiry|| Christian Bessiere, "Solving Difficult CSPs with Relational Neighborhood Inverse Consistency", AAAI, p.112, 2011.

Robert Woodward|| Shant Karakashian|| Berthe Choueiry|| Christian Bessiere. "Solving Difficult CSPs with Relational Neighborhood Inverse Consistency". Proceedings of the AAAI Conference on Artificial Intelligence, 25, 2011, p.112.

Robert Woodward|| Shant Karakashian|| Berthe Choueiry|| Christian Bessiere. "Solving Difficult CSPs with Relational Neighborhood Inverse Consistency". Proceedings of the AAAI Conference on Artificial Intelligence, 25, (2011): 112.

Robert Woodward|| Shant Karakashian|| Berthe Choueiry|| Christian Bessiere. Solving Difficult CSPs with Relational Neighborhood Inverse Consistency. AAAI[Internet]. 2011[cited 2023]; 112.


ISSN: 2374-3468


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