Authors: Yanushkevic, Svetlana
Popel, Denis
Shmerko, Vlad
Cheushev, Vasily
Stanković, Radomir 
Title: Information theoretic approach to minimization of polynomial expressions over GF(4)
Journal: Proceedings of The International Symposium on Multiple-Valued Logic
First page: 265
Last page: 270
Conference: 30th IEEE International Symposium on Multiple-Valued Logic (ISMVL 2000); 25-25 May 2000; Portland, OR, USA
Issue Date: 1-Jan-2000
Rank: M30
ISBN: 978-0-7695-0692-5
ISSN: 0195-623X
DOI: 10.1109/ISMVL.2000.848630
Abstract: 
This paper addresses a new information theoretic approach to minimization of polynomial expressions for Multiple Valued Logic (MVL) functions. Its focus is to determine the so-called pseudo Reed-Muller and pseudo Kronecker expressions of MVL functions. A key point of our approach is the use of information theoretic measures for efficient design of Decision Trees (DTs) to represent MVL functions. We utilize free pseudo Reed-Muller GF(4) (PSDRMGF) DTs and free pseudo Kronecker GF(4) (PSDKGF) DTs. Furthermore, we show that the suggested approach allows to manage the process of minimization in a simple way, for the most of known forms of logic function representation. Our program, Info-MV, produces, in most cases, the extremely better results, in contrast to some known heuristic minimization strategies.
Publisher: IEEE

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