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Sole sufficient operator

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A sole sufficient operator or a sole sufficient connective is an operator that is sufficient by itself to generate all of the operators in a specified class of operators. In logic, it is a logical operator that suffices to generate all of the boolean-valued functions, f : X \to \mathbb{B} , where X\! is an arbitrary set and where \mathbb{B} is a generic 2-element set, typically \mathbb{B} = \{ 0, 1 \} = \{ false, true \}, in particular, to generate all of the finitary boolean functions, f : \mathbb{B}^k \to \mathbb{B} .

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