On a model of plane switching circuits
Diskretnaya Matematika, Tome 7 (1995) no. 4, pp. 40-50
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We introduce a model of plane contact scheme which takes into account the possibility to carry out controlling actions at the contacts of circuits. For the Shannon function $L(n)$ which characterizes the minimal area needed to realize an arbitrary Boolean function in $n$ variables by these schemes we obtain estimates of the form $$ {2^{n} \over \log _{2}36} \mathbin{\scriptstyle\lesssim} L(n) \mathbin{\scriptstyle\lesssim} 2^{n}. $$