NDLI: Efficient Algorithms for Description Problems over Finite Totally Ordered Domains

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Hermann, Miki Salzer, Gernot Zanuttini, Bruno Gil, ngel J.
Copyright Year	2008
Abstract	Given a finite set of vectors over a finite totally ordered domain, we study the problem of computing a constraint in conjunctive normal form such that the set of solutions for the produced constraint is identical to the original set. We develop an efficient polynomial-time algorithm for the general case, followed by specific polynomial-time algorithms producing Horn, dual Horn, and bijunctive formulas for sets of vectors closed under the operations of conjunction, disjunction, and median, respectively. Our results generalize the work of Dechter and Pearl on relational data, as well as the papers by Hbrard and Zanuttini. They complement the results of Hhnle et al. on multivalued logics and Jeavons et al. on the algebraic approach to constraints.
Starting Page	922
Ending Page	945
Page Count	24
File Format	PDF
ISSN	00975397
DOI	10.1137/050635900
e-ISSN	10957111
Journal	SIAM Journal on Computing (SMJCAT)
Issue Number	3
Volume Number	38
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2008-06-06
Access Restriction	Subscribed
Subject Keyword	algorithms complexity Analysis of algorithms and problem complexity Logic in artificial intelligence description problems finite domain Analysis of algorithms
Content Type	Text
Resource Type	Article
Subject	Mathematics Computer Science

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