A first-order sentence consisting of a block of universal quantifiers followed by a quantifier-free formula, obtained by Skolemization in an expanded first-order signature. Its matrix can additionally be put into conjunctive normal form to obtain clausal form.
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Skolem normal form (SNF) is a way of structuring logical formulas in first-order logic, specifically designed to facilitate automated reasoning and theorem proving. It is closely related to the process of converting logical formulas into a standardized format that makes certain operations, like satisfiability checking, more straightforward.