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Article collection "Mathematical Problems of Cybernetics" №1, Moscow, 1988
Authors: Krasulina E.G.
On the complexity of implementing algebra of logic monotone symmetric functions by switching circuits
Abstract:
We consider the problem of implementing algebra of logic monotone symmetric functions in the class of switching circuits. We obtain a new estimate for the implementation of an arbitrary monotone symmetric function by switching circuits, namely that the complexity of any monotone symmetric function is of order no greater than n (ln n)4 / (ln ln n)2.
Keywords:
algebra of logic, symmetric functions, switching circuits, complexity theory
Publication language: russian,  pages: 28 (p. 140-167)
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Krasulina Elena Gennad'evna,  krasulinal2004@mail.ru,  Математический институт им. В. А. Стеклова РАН