# Logical conjunction - Wikipedia

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In logic, mathematics and linguistics, And ( ∧ {\displaystyle \wedge } ) is the truth-functional operator of logical conjunction; the and of a set of operands is true if and only if all of its operands are true. The logical connective that represents this operator is typically written as ∧ {\displaystyle \wedge } or ⋅ .[1][2][3]

A ∧ B {\displaystyle A\land B} is true if and only if A {\displaystyle A} is true and B {\displaystyle B} is true.

And is usually denoted by an infix operator: in mathematics and logic, it is denoted by ∧ {\displaystyle \wedge } ,[1][3] & or × ; in electronics, ⋅ ; and in programming languages, &, &&, or and. In Jan Łukasiewicz's prefix notation for logic, the operator is K, for Polish koniunkcja.[4]

Logical conjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if both of its operands are true.[2][3]