# Boolean equation

From Encyclopedia of Mathematics

An equation of the form

$$f(x_1,\ldots,x_n)=0,\tag{*}$$

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

#### References

[1] | G. Birkhoff, "Lattice theory" , Colloq. Publ. , 25 , Amer. Math. Soc. (1973) |

**How to Cite This Entry:**

Boolean equation.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Boolean_equation&oldid=32769

This article was adapted from an original article by T.S. Fofanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article