Geodesic
Construction of noniterated Boolean functions in the basis $\{\,\vee,-\}$ and estimation of their number
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2008), pp. 17-24.

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In this paper we consider noniterated Boolean functions in the basis $\{\,\vee,-\}$. We obtain the canonical form of the formula for a noniterated function in this basis. We construct the set of such formulas in terms of the variables $x_1,\dots,x_n$ and calculate the number of its elements. Based on these results, we obtain the upper and lower bounds for the number of noniterated Boolean functions of $n$ variables in the basis under consideration.
Keywords: noniterated Boolean function, number of noniterated functions, estimates for the number of noniterated functions. 
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     title = {Construction of noniterated {Boolean} functions in the basis $\{\&,\vee,-\}$ and estimation of their number},
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O. V. Zubkov. Construction of noniterated Boolean functions in the basis $\{\&,\vee,-\}$ and estimation of their number. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2008), pp. 17-24. http://geodesic.mathdoc.fr/item/IVM_2008_10_a1/

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