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Efficient Representation of Discrete Sets for Constraint Programming

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Principles and Practice of Constraint Programming – CP 2003 (CP 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2833))

Abstract

In constraint solving for finite domains, efficient set representation is an important issue. In this paper we propose an enhancement of Erwig’s diet representation called the enhanced diet, which represents a finite domain as an AVL tree of intervals. In addition to element insertion and deletion, we show that the domain splitting used for constraints such as XY can be done in O(logm) steps by adopting Crane’s Algorithm, where m is the number of intervals, not the number of elements.

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© 2003 Springer-Verlag Berlin Heidelberg

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Ohnishi, S., Tasaka, H., Tamura, N. (2003). Efficient Representation of Discrete Sets for Constraint Programming. In: Rossi, F. (eds) Principles and Practice of Constraint Programming – CP 2003. CP 2003. Lecture Notes in Computer Science, vol 2833. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45193-8_79

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  • DOI: https://doi.org/10.1007/978-3-540-45193-8_79

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20202-8

  • Online ISBN: 978-3-540-45193-8

  • eBook Packages: Springer Book Archive

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