Geodesic
Properties of proper families of Boolean functions
Diskretnaya Matematika, Tome 33 (2021) no. 1, pp. 91-102.

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We show that triangular families of Boolean functions comprise an exponentially small fraction of proper families of a given order. We prove that if $F$ is a proper family of Boolean functions, then the number of solutions of an equation $F(x) = A$ is even. Finally, we describe a new class of proper families of Boolean functions.
Keywords: proper family of Boolean functions, triangular family. 
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K. D. Tsaregorodtsev. Properties of proper families of Boolean functions. Diskretnaya Matematika, Tome 33 (2021) no. 1, pp. 91-102. http://geodesic.mathdoc.fr/item/DM_2021_33_1_a7/

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