Difference between revisions of "Sole sufficient operator"

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* [http://mathweb.org/wiki/Sole_sufficient_operator Sole Sufficient Operator @ MathWeb Wiki]
 
* [http://mathweb.org/wiki/Sole_sufficient_operator Sole Sufficient Operator @ MathWeb Wiki]
 
* [http://netknowledge.org/wiki/Sole_sufficient_operator Sole Sufficient Operator @ NetKnowledge]
 
* [http://netknowledge.org/wiki/Sole_sufficient_operator Sole Sufficient Operator @ NetKnowledge]
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* [http://wiki.oercommons.org/mediawiki/index.php/Sole_sufficient_operator Sole Sufficient Operator @ OER Commons]
 
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* [http://wiki.oercommons.org/mediawiki/index.php/Sole_sufficient_operator Sole Sufficient Operator @ OER Commons]
 
 
* [http://p2pfoundation.net/Sole_Sufficient_Operator Sole Sufficient Operator @ P2P Foundation]
 
* [http://p2pfoundation.net/Sole_Sufficient_Operator Sole Sufficient Operator @ P2P Foundation]
 
* [http://semanticweb.org/wiki/Sole_sufficient_operator Sole Sufficient Operator @ SemanticWeb]
 
* [http://semanticweb.org/wiki/Sole_sufficient_operator Sole Sufficient Operator @ SemanticWeb]
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* [http://ref.subwiki.org/wiki/Sole_sufficient_operator Sole Sufficient Operator @ Subject Wikis]
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* [http://beta.wikiversity.org/wiki/Sole_sufficient_operator Sole Sufficient Operator @ Wikiversity Beta]
 
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Revision as of 02:04, 23 June 2010

This page belongs to resource collections on Logic and Inquiry.

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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Focal nodes

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Peer nodes

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Logical operators

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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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