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Article collection "Mathematical Problems of Cybernetics" №14, Moscow, 2005
Authors: Marchenkov S.S., Matveev S.A.
Boolean powers defined by the classes of linear functions and conjunctions
Abstract:
We consider partially ordered sets LL, LK01 of Boolean powers, corresponding to closed classes of all affine functions and all conjuctions, preserving 0 and 1. We study the structure of the sets LL, LK01. In particular, the minimal and maximal elements of these sets are found.
Keywords:
boolean powers, linear functions, conjunctions
Publication language: russian,  pages: 14 (p. 35-48)
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Marchenkov Sergey Seraphimovich,  ,  Факультет вычислительной математики и кибернетики МГУ, кафедра математической кибернетики
  • Matveev Sergey Alexandrovich,  Факультет вычислительной математики и кибернетики МГУ имени М.В. Ломоносова
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