Edge matching puzzles as hard SAT/CSP benchmarks

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2008
Author
Ansótegui Gil, Carlos José
Béjar Torres, Ramón
Fernàndez Camon, César
Mateu Piñol, Carles
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Ansótegui Gil, Carlos José; Béjar Torres, Ramón; Fernàndez Camon, César; Mateu Piñol, Carles; . (2008) . Edge matching puzzles as hard SAT/CSP benchmarks. Lecture Notes in Computer Science, 2008, vol. 5202, p. 560-565. https://doi.org/10.1007/978-3-540-85958-1_42.
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Abstract
Recently, edge matching puzzles, an NP-complete problem, have rececived, thanks to money-prized contests, considerable attention from wide audiences. We consider these competitions not only a challenge for SAT/CSP solving techniques but also as an opportunity to showcase the advances in the SAT/CSP community to a general audience. This paper studies the NP-complete problem of edge matching puzzles focusing on providing generation models of problem instances of variable hardness and on its resolution through the application of SAT and CSP techniques. From the generation side, we also identify the phase transition phenomena for each model. As solving methods, we employ both; SAT solvers through the translation to a SAT formula, and two ad-hoc CSP solvers we have developed, with different levels of consistency, employing several generic and specialized heuristics. Finally, we conducted an extensive experimental investigation to identify the hardest generation models and the best performing solving techniques.
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http://hdl.handle.net/10459.1/46646
DOI
https://doi.org/10.1007/978-3-540-85958-1_42
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Lecture Notes in Computer Science, 2008, vol. 5202, p. 560-565
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