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In Boolean logic, a formula is in conjunctive normal form (CNF) or clausal normal form if it is a conjunction of one or more clauses, where a clause is a disjunction of literals; otherwise put, it is a product of sums or an AND of ORs.

(CNF) or disjunctive normal form (DNF) ? CNF is an ? of ?s, where ? is over variables or their negations (literals); an ? of literals is also called a clause. ? DNF is an ? of ?s; an ? of literals is called a term.

CNF is a text-based file format for storing a Boolean expression in conjunctive normal form. The format was created by DIMACS (Center for Discrete Mathematics and Theoretical Computer Science). The general-purpose commands Import and Export also support this format.

Conjunctive normal form (CNF) is an approach to Boolean logic that expresses formulas as conjunctions of clauses with an AND or OR. Each clause connected by a conjunction, or AND, must be either a literal or contain a disjunction, or OR operator. CNF is useful for automated theorem proving.