Math 2.0

Mathematical logic and foundations First-order logic Concept

Prenex normal form

Summary

A formula is in prenex normal form when all its quantifiers stand at the front, followed by a part without quantifiers. In classical first-order logic every formula is equivalent to a formula in prenex normal form. The string of quantifiers in front measures the logical complexity of the formula, as in the arithmetical hierarchy. Prenex form is also the first step towards Skolem normal form.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Prenex_normal_form
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Changed2 November 2026

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