Predicate logic | Propositional calculus | Logic programming

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 or conjunction of literals, depending on the context. Clauses are usually written as follows, where the symbols are literals: (Wikipedia).

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Related pages

Disjunctive normal form | Conjunctive normal form | Prolog | Logical connective | Vacuous truth | Propositional formula | Horn clause | Logical conjunction | Logical disjunction | Logic programming | Monoid | Literal (mathematical logic)