Difference between revisions of "Sole sufficient operator"

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===Peer nodes===
 
===Peer nodes===
  
* [http://beta.wikiversity.org/wiki/Differential_logic Differential Logic @ Beta Wikiversity]
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* [http://beta.wikiversity.org/wiki/Sole_sufficient_operator Sole Sufficient Operator @ Beta Wikiversity]
* [http://mywikibiz.com/Differential_logic Differential Logic @ MyWikiBiz]
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* [http://mywikibiz.com/Sole_sufficient_operator Sole Sufficient Operator @ MyWikiBiz]
* [http://www.netknowledge.org/wiki/Differential_logic Differential Logic @ NetKnowledge]
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* [http://www.netknowledge.org/wiki/Sole_sufficient_operator Sole Sufficient Operator @ NetKnowledge]
* [http://semanticweb.org/wiki/Differential_logic Differential Logic @ SemanticWeb]
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* [http://semanticweb.org/wiki/Sole_sufficient_operator Sole Sufficient Operator @ SemanticWeb]
  
 
===Logical operators===
 
===Logical operators===

Revision as of 01:01, 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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