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Journal Articles Journal of Algorithms in Cognition, Informatics and Logic Year : 1992

A polynomial algorithm for minimal interval representation

Itzhak Gilboa
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Anat Fischer
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Moshe Shpitalni
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Abstract

The following problem arises in the context of object representation: given two endpoints of an interval in a Gray code table, find a Boolean function in DNF that represents this interval, with as few prime implicants as possible. This paper shows that there is a unique minimal representation and presents a polynomial algorithm that finds it.

Dates and versions

hal-00481389 , version 1 (06-05-2010)

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Itzhak Gilboa, Anat Fischer, Moshe Shpitalni. A polynomial algorithm for minimal interval representation. Journal of Algorithms in Cognition, Informatics and Logic, 1992, Vol.13, n°4, pp. 546-563. ⟨10.1016/0196-6774(92)90055-H⟩. ⟨hal-00481389⟩

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