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, Failed to parse (Missing texvc executable; please see math/README to configure.):

where  is an arbitrary set and where  is a generic two-element set, typically Failed to parse (Missing texvc executable; please see math/README to configure.): 
in particular, to generate every finitary boolean function, Failed to parse (Missing texvc executable; please see math/README to configure.): 

Syllabus

Focal nodes

• Inquiry Live
• Logic Live

Peer nodes

• Sole Sufficient Operator @ InterSciWiki
• Sole Sufficient Operator @ MyWikiBiz
• Sole Sufficient Operator @ Subject Wikis
• Sole Sufficient Operator @ Wikiversity
• Sole Sufficient Operator @ Wikiversity Beta

Logical operators

Exclusive disjunction Logical conjunction Logical disjunction Logical equality

Logical implication Logical NAND Logical NNOR Negation

Related topics

Ampheck Boolean domain Boolean function Boolean-valued function Differential logic

Logical graph Minimal negation operator Multigrade operator Parametric operator Peirce's law

Propositional calculus Sole sufficient operator Truth table Universe of discourse Zeroth order logic

Relational concepts

Continuous predicate Hypostatic abstraction Logic of relatives Logical matrix

Relation Relation composition Relation construction Relation reduction

Relation theory Relative term Sign relation Triadic relation

Information, Inquiry

Inquiry Dynamics of inquiry

Semeiotic Logic of information

Descriptive science Normative science

Pragmatic maxim Truth theory

Related articles

Cactus Language Futures Of Logical Graphs Propositional Equation Reasoning Systems

Differential Logic : Introduction Differential Propositional Calculus Differential Logic and Dynamic Systems

Prospects for Inquiry Driven Systems Introduction to Inquiry Driven Systems Inquiry Driven Systems : Inquiry Into Inquiry

Document history

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