Logical conjunction

In logic, mathematics and linguistics, and ( ∧ {\displaystyle \wedge } ) is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as ∧ {\displaystyle \wedge } or & {\displaystyle \&} or K {\displaystyle K} (prefix) or × {\displaystyle \times } or ⋅ {\displaystyle \cdot } in which ∧ {\displaystyle \wedge } is the most modern and widely used. The and of a set of operands is true if and only if all of its operands are true, i.e., A ∧ B {\displaystyle A\land B} is true if and only if A {\displaystyle A} is true and B {\displaystyle B} is true. An operand of a conjunction is a conjunct. Beyond logic, the term "conjunction" also refers to similar concepts in other fields: In natural language, the denotation of expressions such as English "and"; In programming languages, the short-circuit and control structure; In set theory, intersection. In lattice theory, logical conjunction (greatest lower bound).