Difference between revisions of "Sole sufficient operator"

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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.
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* [http://mywikibiz.com/Sole_sufficient_operator Sole Sufficient Operator], [http://mywikibiz.com/ MyWikiBiz]
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* [http://beta.wikiversity.org/wiki/Sole_sufficient_operator Sole Sufficient Operator], [http://beta.wikiversity.org/ Beta Wikiversity]
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* [http://www.mathweb.org/wiki/Sole_sufficient_operator Sole Sufficient Operator], [http://www.mathweb.org/wiki/ MathWeb Wiki]
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* [http://www.netknowledge.org/wiki/Sole_sufficient_operator Sole Sufficient Operator], [http://www.netknowledge.org/ NetKnowledge]
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* [http://p2pfoundation.net/Sole_sufficient_operator Sole Sufficient Operator], [http://p2pfoundation.net/ P2P Foundation]
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* [http://http://planetmath.org/encyclopedia/SoleSufficientOperator.html Sole Sufficient Operator], [http://planetmath.org/ PlanetMath]
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* [http://semanticweb.org/wiki/Sole_sufficient_operator Sole Sufficient Operator], [http://semanticweb.org/ SemanticWeb]
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* [http://www.getwiki.net/-Sole_Sufficient_Operator Sole Sufficient Operator], [http://www.getwiki.net/ GetWiki]
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* [http://www.wikinfo.org/index.php/Sole_sufficient_operator Sole Sufficient Operator], [http://wikinfo.org/ Wikinfo]
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* [http://www.textop.org/wiki/index.php?title=Sole_sufficient_operator Sole Sufficient Operator], [http://www.textop.org/wiki/ Textop Wiki]
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* [http://en.wikipedia.org/w/index.php?title=Sole_sufficient_operator&oldid=156136346 Sole Sufficient Operator], [http://en.wikipedia.org/ Wikipedia]
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Revision as of 01:00, 2 May 2010

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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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.

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