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Concept
Logical conjunction
Summary
In logic, mathematics and linguistics, and (\wedge) is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as \wedge or & or K (prefix) or \times or \cdot in which \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 \land B is true if and only if A is true and 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).
Official source
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