Boolean domain BooleanDomain 2008-04-03 22:51:52 2008-04-04 13:24:17 Definition Boolean variable % this is the default PlanetMath preamble. as your knowledge % of TeX increases, you will probably want to edit this, but % it should be fine as is for beginners. % almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts} % used for TeXing text within eps files %\usepackage{psfrag} % need this for including graphics (\includegraphics) %\usepackage{graphicx} % for neatly defining theorems and propositions %\usepackage{amsthm} % making logically defined graphics %\usepackage{xypic} % there are many more packages, add them here as you need them % define commands here \PMlinkescapephrase{generic} \PMlinkescapephrase{Generic} A \textbf{Boolean domain} $\mathbb{B}$ is a generic 2-element set, say, $\mathbb{B} = \{ 0, 1 \}$, whose elements are interpreted as logical values, typically, $0 = \mathrm{false}$ and $1 = \mathrm{true}$. A \textbf{Boolean variable} $x$ is a variable that takes its value from a Boolean domain, as $x \in \mathbb{B}$.