On the activity of cell circuits realising the system of all conjunctions

O. V. Cheremisin · Discrete Mathematics and Applications · 2003

We investigate the activity of cell circuits, the measure of their complexity, which describes the functioning of such circuits from the energy point of view. For the system K n of all elementary conjunctions of n variables we find the order of the minimal activity as n → ∞. We prove that it is impossible to reach simultaneously the minimal in order activity and complexity of realising the system K n in the class of cell circuits.

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