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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Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.
- Sole Sufficient Operator, InterSciWiki
- Sole Sufficient Operator, MyWikiBiz
- Sole Sufficient Operator, PlanetMath
- Sole Sufficient Operator, SemanticWeb
- Sole Sufficient Operator, Wikinfo
- Sole Sufficient Operator, Wikiversity
- Sole Sufficient Operator, Wikiversity Beta
- Sole Sufficient Operator, Wikipedia