About basises whose unreliability coefficient equals 1

Circuits composed of unreliable functional elements in a complete finite basis $B$ are considered. It is assumed that all elements are independently of each other subjected to inverse failures at the outputs with the probability $\varepsilon$ ($\varepsilon \in (0, 1/2)$). In the paper, a set $G$ of Boolean functions is found, and it is proved that if $B\cap G\neq\emptyset$, then almost all Boolean functions are realized in basis $B$ by asymptotically optimal on reliability circuits with unreliability $\varepsilon$ under $\varepsilon\to 0$.