Boolean equation

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2020 Mathematics Subject Classification: Primary: 06E [MSN][ZBL]

An equation of the form


where $f$ is a Boolean function in $n$ variables. The set of all solutions of an equation of the form \eqref{*} can be described by a system of Boolean functions depending on $n$ arbitrary parameters.


[1] G. Birkhoff, "Lattice theory" , Colloq. Publ. , 25 , Amer. Math. Soc. (1973)
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Boolean equation. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by T.S. Fofanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article