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Date: 23-1-2022
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A formula of first-order logic is said to be in Skolemized form (sometimes also called Skolem standard form or universal form) if it is of the form
where is a quantifier-free formula in conjunctive normal form known as the matrix of the formula in question. Since
is a conjunction of clauses each of which is a disjunction of literals,
is often viewed as a set of the clauses. The process of placing a formula in Skolemized form is known as Skolemization.
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