# Boolean domain

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This page belongs to resource collections on Logic and Inquiry.

A boolean domain ${\displaystyle \mathbb {B} }$ is a generic 2-element set, say, ${\displaystyle \mathbb {B} =\{0,1\},}$ whose elements are interpreted as logical values, typically, ${\displaystyle 0=\operatorname {false} }$ and ${\displaystyle 1=\operatorname {true} .}$

A boolean variable ${\displaystyle x\!}$ is a variable that takes its value from a boolean domain, as ${\displaystyle x\in \mathbb {B} .}$

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Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.