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An Algorithm for Multithreshold Threshold Element Synthesis
October 1968 (vol. 17 no. 10)
pp. 978-985
Abstract?An algorithm for multithreshold threshold element synthesis, generalizing Haring's "run measure minimization" algorithm, is presented. The algorithm is based on the possibility of assigning equal weights to variables in a symmetry group of a given Boolean function (for totally or partially symmetric Boolean functions). Thus, although a supplementary operation is required for determining the symmetry group of the Boolean functions, both an important reduction in the number of tests required to minimize the number of thresholds and a more economic solution are assured, when synthesizing totally or partially symmetric Boolean functions.
Index Terms:
Index Terms?Basic weight vectors, derived weight vectors, multithreshold threshold elements, run measure minimization, symmetric Boolean functions.
Citation:
N.N. Necula, "An Algorithm for Multithreshold Threshold Element Synthesis," IEEE Transactions on Computers, vol. 17, no. 10, pp. 978-985, Oct. 1968, doi:10.1109/TC.1968.226445
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