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Normal Forms

A literal is an atom or negation of an atom: P or ¬ P.

A formula F is in conjunctive normal form (CNF) if F is of the form F = F1 ∧ F2 ∧ ... ∧ Fn where each Fi is a clause, i.e. a disjunction (, OR) of literals.

Example:

(¬ P ∨ Q) clause 1
(P) clause 2
(¬ Q) clause 3

CNF is used for resolution and for SAT solvers. There is also a disjunctive normal form, less often used.