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On an infinite sequence of improving Boolean bases. (English. Russian original) Zbl 0991.06009
Discrete Appl. Math. 114, No. 1-3, 95-108 (2001); translation from Diskretn. Anal. Issled. Oper., Ser. 1 4, No. 4, 79-95 (1997).
Summary: We consider complexity of formulas for Boolean functions in finite complete bases. It is shown that, with regard to complexity, the basis of all $$(k+1)$$-ary functions is essentially better than the basis of all $$k$$-ary functions for all $$k\geq 2$$.

##### MSC:
 06E30 Boolean functions 03D15 Complexity of computation (including implicit computational complexity) 94C10 Switching theory, application of Boolean algebra; Boolean functions (MSC2010) 68Q25 Analysis of algorithms and problem complexity
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##### References:
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