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A boolean-valued function is a function of the type ${\displaystyle f:X\to \mathbb {B} }$, where ${\displaystyle X}$ is an arbitrary set, where ${\displaystyle \mathbb {B} }$ is a generic 2-element set, typically ${\displaystyle \mathbb {B} =\left\{0,1\right\}}$, and where the latter is frequently interpreted for logical applications as ${\displaystyle \mathbb {B} =\left\{false,true\right\}}$.

See also

• Finitary boolean function