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Strengthening neighbourhood substitution
July 13, 2020 Β· Declared Dead Β· π International Conference on Principles and Practice of Constraint Programming
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Authors
Martin C. Cooper
arXiv ID
2007.06282
Category
cs.AI: Artificial Intelligence
Citations
0
Venue
International Conference on Principles and Practice of Constraint Programming
Last Checked
4 months ago
Abstract
Domain reduction is an essential tool for solving the constraint satisfaction problem (CSP). In the binary CSP, neighbourhood substitution consists in eliminating a value if there exists another value which can be substituted for it in each constraint. We show that the notion of neighbourhood substitution can be strengthened in two distinct ways without increasing time complexity. We also show the theoretical result that, unlike neighbourhood substitution, finding an optimal sequence of these new operations is NP-hard.
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