Boolean domain

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

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

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