Title
Fast Minimization Of Fixed Polarity Reed-Muller Expressions
Abstract
Logic minimization has recently attracted significant attention because in many applications it is important to have a compact representation as possible. In this paper, we propose a fast minimization algorithm (FMA) of fixed polarity Reed-Muller expressions (FPRMs). The main idea behind the FMA is to search the minimum FPRM with the fewest products by using the proposed binary differential evolution algorithm (BDE). The BDE can efficiently maintain population diversity and achieve a better tradeoff between the exploration and exploitation capabilities by use of proposed binary random mutation operator and improved selection operator. The experimental results on 24 MCNC benchmark circuits demonstrate that the FMA outperforms the genetic algorithm-based and simulated annealing genetic algorithm-based FPRMs minimization algorithms in terms of accuracy of solutions and solving efficiency. To the best of our knowledge, we are the first to use differential evolution algorithm to minimize FPRMs. The FMA can be extended to derive a minimum mixed polarity Reed-Muller expression.
Year
DOI
Venue
2019
10.1109/ACCESS.2019.2899035
IEEE ACCESS
Keywords
Field
DocType
Logic minimization, fixed polarity Reed-Muller expressions, differential evolution algorithm, mutation operator, selection operator
Boolean function,Binary differential evolution,Convergence (routing),Expression (mathematics),Computer science,Algorithm,Minification,Electronic circuit,Genetic algorithm,Binary number,Distributed computing
Journal
Volume
ISSN
Citations 
7
2169-3536
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Zhenxue He1115.88
Limin Xiao223147.05
zhisheng huo3117.61
Tao Wang4337115.68
Xiang Wang52615.33