Sole sufficient operator

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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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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

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