1997•IEEE Transactions on Computer-Aided Design of Integrated Circuits and SystemsRequires access

Boolean matching for incompletely specified functions

Kuo‐Hua Wang, TingTing Hwang

Abstract

Boolean matching is to check the equivalence of two functions under input permutation and input/output phase assignment. In this paper, we address Boolean matching problems for incompletely specified functions. We formulate the searching of input variable mapping between two target functions as a logic equation by using multiple-valued functions. Based on this equation, a Boolean matching algorithm is proposed. Delay and power dissipation can also be taken into consideration when this method is used for technology mapping. Experimental results on a set of benchmarks show that our algorithm is indeed very effective in solving the Boolean matching problem for incompletely specified functions.

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Key concepts: Product term, Boolean function, Boolean network, Boolean expression, Maximum satisfiability problem, And-inverter graph, Standard Boolean model, Matching (statistics)