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- W4323647214 abstract "The k-valued (in particular ternary) computing has been becoming more and more relevant during the last decade. The research and development of algorithms based on k-valued logic is very relevant in many fields of science and engineering. A fundamentally essential problem—the problem of full description of closed classes of three-valued logic functions—must be solved to make the implementation of such algorithms are possible. A continuum of closed classes on the superposition operation appeared in the transition to a multivalued logic (greater than two). We can’t construct a complete description in this case. In this paper, we consider the problem of verifying the finite generation of classes containing some subclass of functions of one variable. We also give a description of the over lattices of classes in $$ P_k $$ containing some precomplete class of unary functions. The finite generation of overlattices has been proved." @default.
- W4323647214 created "2023-03-10" @default.
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- W4323647214 date "2023-01-01" @default.
- W4323647214 modified "2023-10-17" @default.
- W4323647214 title "Mutual Generation of the Choice and Majority Functions" @default.
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- W4323647214 doi "https://doi.org/10.1007/978-3-031-21700-5_6" @default.
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