Common

Logical NOR

Binary operation that is true if and only if both operands are false

Logical NOR

Common card · No. 398109

In Boolean logic, logical NOR, non-disjunction, or joint denial is a truth-functional operator which produces a result that is the negation of logical or. That is, a sentence of the form (p NOR q) is true precisely when neither p nor q is true—i.e. when both p and q are false. It is logically equivalent to ¬ ( p ∨ q ) {\displaystyle \neg (p\lor q)} and ¬ p ∧ ¬ q {\displaystyle \neg p\land \neg q} , where the symbol ¬ {\displaystyle \neg } signifies logical negation, ∨ {\displaystyle \lor } signifies OR, and ∧ {\displaystyle \land } signifies AND. Non-disjunction is usually denoted as ↓ {\displaystyle \downarrow } or...

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