▾ Set of symbols
▾ Alphabet
▾ Deduction system
▾ Theory
▾ Zermelo-Fraenkel set theory
▾ Set
▾ Binary cartesian set product
▾ Binary relation
▾ Map
▾ Function
▾ Real collection function
▾ Euclidean real function
▾ Real function
▾ Rational function
▾ Integer function
▾ Natural number function
Boolean function
Formulation 0
Let $\mathbb{B} = \{ 0, 1 \}$ be the D217: Set of boolean numbers.
A D18: Map $f : X \to Y$ is a boolean function if and only if \begin{equation} Y \subseteq \mathbb{B} \end{equation}
Formulation 1
A D18: Map $f : X \to Y$ is a boolean function if and only if \begin{equation} Y \subseteq \{ 0, 1 \} \end{equation}
Child definitions
» D5402: Boolean logic gate
» D5931: Boolean parity function
» D41: Indicator function