conjunction

In logic, mathematics and linguistics, And (∧) 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 ∧ or ⋅ .




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.
The term "logical conjunction" is also used for the greatest lower bound in lattice theory.
Related concepts in other fields are:

In natural language, the coordinating conjunction "and".
In programming languages, the short-circuit and control structure.
In set theory, intersection.
In predicate logic, universal quantification.

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