A polynomial algorithm for minimal interval representation

Anat Fischer; Itzhak Gilboa; Moshe Shpitalni

doi:10.1016/0196-6774(92)90055-H

A polynomial algorithm for minimal interval representation

Anat Fischer^*, Itzhak Gilboa, Moshe Shpitalni

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	546-563
Number of pages	18
Journal	Journal of Algorithms
Volume	13
Issue number	4
DOIs	https://doi.org/10.1016/0196-6774(92)90055-H
State	Published - Dec 1992
Externally published	Yes

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title = "A polynomial algorithm for minimal interval representation",

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.",

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AU - Shpitalni, Moshe

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AB - 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.

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A polynomial algorithm for minimal interval representation

Abstract

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