Sole sufficient operator

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

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