Sole sufficient operator

&#9758; 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, $$ f : \mathbb{B}^k \to \mathbb{B} $$.

Focal nodes

 * Inquiry Live


 * Logic Live

Peer nodes

 * Sole Sufficient Operator @ MyWikiBiz
 * Sole Sufficient Operator @ MathWeb Wiki
 * Sole Sufficient Operator @ NetKnowledge
 * Sole Sufficient Operator @ OER Commons


 * Sole Sufficient Operator @ P2P Foundation
 * Sole Sufficient Operator @ SemanticWeb
 * Sole Sufficient Operator @ Subject Wikis
 * 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

 * Jon Awbrey, &ldquo;Semiotic Information&rdquo;


 * Jon Awbrey, &ldquo;Introduction To Inquiry Driven Systems&rdquo;


 * Jon Awbrey, &ldquo;Prospects For Inquiry Driven Systems&rdquo;


 * Jon Awbrey, &ldquo;Inquiry Driven Systems : Inquiry Into Inquiry&rdquo;


 * Jon Awbrey, &ldquo;Propositional Equation Reasoning Systems&rdquo;


 * Jon Awbrey, &ldquo;Differential Logic : Introduction&rdquo;


 * Jon Awbrey, &ldquo;Differential Propositional Calculus&rdquo;


 * Jon Awbrey, &ldquo;Differential Logic and Dynamic Systems&rdquo;

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, MyWikiBiz
 * Sole Sufficient Operator, MathWeb Wiki
 * Sole Sufficient Operator, NetKnowledge
 * Sole Sufficient Operator, P2P Foundation
 * Sole Sufficient Operator, PlanetMath
 * Sole Sufficient Operator, PlanetPhysics


 * Sole Sufficient Operator, SemanticWeb
 * Sole Sufficient Operator, Wikiversity Beta
 * Sole Sufficient Operator, GetWiki
 * Sole Sufficient Operator, Wikinfo
 * Sole Sufficient Operator, Textop Wiki
 * Sole Sufficient Operator, Wikipedia