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Equational Realizations of Switching Functions

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1 Author(s)
Brown, Frank M. ; Department of Electrical Engineering, University of Kentucky

Equational logic is an approach to combinational synthesis based on the equation f(x) = 1 rather than on the function f(x). The central problem of equational logic is to find a system of equations gi(x) = hi(x) (i = 1,2,...,k), of the simplest possible form, that has the same solutions as f(x) = 1. Given such a k-equation system, f(x) may be realized as the output of a k-wide digital comparator whose inputs are the 2k g's and h's constituting the system.

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Computers, IEEE Transactions on  (Volume:C-24 ,  Issue: 11 )