2003 · 20 citations · 16 references
EngineeringComputer EngineeringComputer ScienceAlgorithmsDesign OptimizationOptimizationCombinational Logic DescriptionDigital Logic DesignLogic SynthesisLookup TablesBoolean ExpressionsBoolean Function MinimizationCombinational Circuit OptimizationCombinational Logic SynthesisLogic MinimizationLogic OptimizationMinimization Of Boolean FunctionsParallel Processing
A new logic minimizer designed to generate the exact minimum solutions for multivalued input logic expressions is presented. The advantage of this minimizer is that it generates as few prime implicants as possible. A new algorithm is presented for directly generating essential prime implicants in a time close to that for generating a prime implicant by the ESPRESSO-MV expansion process. The authors discuss how to generate the secondary essential prime implicants in order to avoid setting up a covering table, and they present the corresponding algorithms for noncyclic functions. They also discuss the case in which a covering table should be created for obtaining an exact minimum solution and consider how to use the parallel processing techniques for the best speedup.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Minimization of Boolean Functions*
E.J. McCluskey · Bell System Technical Journal · 1956 · 1.2K citations
The Problem of Simplifying Truth Functions
W. V. Quine · American Mathematical Monthly · 1952 · 801 citations
A Way to Simplify Truth Functions
W. V. Quine · American Mathematical Monthly · 1955 · 572 citations
Humanities, Mathematics, Logic +6
The Problem of Simplifying Truth Functions
W. V. Quine · American Mathematical Monthly · 1952 · 434 citations