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We consider realisation of Boolean functions over the basis { x  ∨  y  ∨  z ,  x  &amp;  y  &amp;  z ,   } by circuits of unreliable functional elements which are subject to single-type constant faults at inputs of the elements. Let  γ   be the probability of a fault at an input of an element. By the unreliability of a circuit is meant the greatest probability of error at its output. In this paper, we find the asymptotically best realisation of an arbitrary Boolean function  f ( x  1 , . . . ,  x n  )  such that the functions  x i  ,  i  = 1, 2, . . . ,  n , are realised absolutely reliably, the constants 0 and 1 are realised as reliably as we wish, and the remaining functions are realised with unreliability asymptotically equal to  γ  3  as   γ  → 0.

On reliability of circuits over the basis { x ∨ y ∨ z , x & y & z , } under single-type constant faults at inputs of elements