Logical negation

Logical negation is an operation on one logical value, typically the value of a proposition, that produces a value of true when its operand is false and a value of false when its operand is true.

The truth table of NOT p (also written as ~p or ¬p) is as follows:

Logical Negation

p	¬p
F	T
T	F

The logical negation of a proposition p is notated in different ways in various contexts of discussion and fields of application. Among these variants are the following:

Variant Notations

Notation	Vocalization
\(\bar{p}\)	bar p
\(p'\!\)	p prime, p complement
\(!p\!\)	bang p

See also

Logical operators

Exclusive disjunction Logical conjunction Logical disjunction Logical equality

Logical implication Logical NAND Logical NNOR Negation

Related topics

Ampheck Boolean algebra Boolean domain Boolean function

Boolean logic Laws of Form Logic gate Logical graph

Peirce's law Propositional calculus Sole sufficient operator Zeroth order logic