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We are interested in decompositions xnf1f2 of the majority function over n odd arguments x1, ...,xnsuch that f1and f2do not depend on xn. In this paper, we derive the conditions for f1and f2that satisfy the decomposition. Such decompositions play a central role in finding optimum majority-3 networks for the majority-n function
Michaël Unser, Alexis Marie Frederic Goujon, Joaquim Gonçalves Garcia Barreto Campos
Kevin Sivula, Florent Alexandre Boudoire, Nukorn Plainpan