Geodesic
On solutions of systems of functional Boolean equations
Diskretnyj analiz i issledovanie operacij, Tome 15 (2008) no. 6, pp. 48-57

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Solutions of systems of functional Boolean equations are considered. For each class $P_2,T_0,T_1,S,T_{01}$, and $S_{01}$ the problem of construction of functional Boolean equations systems with a fixed set of functional constants and one functional variable whose unique solution is of the concerned class is solved. For an arbitrary nonempty set $F$ of $n$-argument Boolean functions, the system of equations with functional constants $\vee$ and $\$ is built with $F$ as the solution set. If the above-mentioned set $F$ is closed under transition to dual functions, then the corresponding system of functional Boolean equations can be constructed without functional constants at all. Bibl. 12.
Keywords: functional Boolean equation, closed class of Boolean functions. 
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     title = {On solutions of systems of functional {Boolean} equations},
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S. S. Marchenkov; V. S. Fedorova. On solutions of systems of functional Boolean equations. Diskretnyj analiz i issledovanie operacij, Tome 15 (2008) no. 6, pp. 48-57. http://geodesic.mathdoc.fr/item/DA_2008_15_6_a4/