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

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Revision as of 19:00, 15 January 2006

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

See also