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Viewing Version 2 of 'boolean domain'
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Title of object: boolean domain
Canonical Name: BooleanDomain
Type: Definition

Created on: 2008-04-03 22:51:52
Modified on: 2008-04-03 23:14:01

Creator: Jon Awbrey
Modifier: Jon Awbrey
Author: Jon Awbrey

Classification: msc:03B05, msc:03C55, msc:03G05, msc:68P01, msc:68Q01, msc:68R01
Defines: boolean variable

Revision comment (for changes between this and next version):

Changes for correction #13736 ('capitalization').

Preamble:

% 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
Content:

\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 $x \in \mathbb{B}$.