Abstract
A discrete function of arguments of different digits is represented as a formula in a functionally complete base of operations. Bases consisting of two algebraic operations, a fixed set of functions, and functions from a given class are studied. Such a representation is related to spectral expansions. A synthesis method for polynomial and nonpolynomial forms is designed. Information and asymptotic estimates of the complexities of formulas are determined.
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Vykhovanets, V.S. Spectral Methods in Logical Data Analysis. Automation and Remote Control 62, 1565–1587 (2001). https://doi.org/10.1023/A:1012498029405
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DOI: https://doi.org/10.1023/A:1012498029405