lnot
Represents logical negation in mathematical logic and set theory, indicating the opposite or contradiction of a statement.
Overview
Essential for expressing logical operations and constructing formal proofs in mathematics and computer science.
- Commonly used in truth tables and Boolean algebra
- Appears frequently in discrete mathematics and formal logic
- Important in set theory for expressing complementary sets
- Often combined with other logical operators to form complex logical expressions
- Particularly useful in writing mathematical proofs and expressing logical implications
Examples
Basic logical negation of a proposition P.
\lnot P \implies QNegation in a compound logical statement.
(P \land \lnot Q) \lor RDe Morgan's law showing negation of conjunction.
\lnot(P \land Q) \iff \lnot P \lor \lnot Q