Clause (logic)

In logic, a clause is a propositional formula formed from a finite collection of literals (atoms or their negations) and logical connectives. A clause is true either whenever at least one of the literals that form it is true (a disjunctive clause, the most common use of the term), or when all of the literals that form it are true (a conjunctive clause, a less common use of the term). That is, it is a finite disjunction^[1] or conjunction of literals, depending on the context. Clauses are usually written as follows, where the symbols ${\displaystyle l_{i}}$ are literals:

${\displaystyle l_{1}\vee \cdots \vee l_{n}}$