What does prenex mean?

Definitions for prenex

This dictionary definitions page includes all the possible meanings, example usage and translations of the word prenex.

Did you actually mean premix or proneness?


  1. prenexnoun

    Part at the beginning of a prenex formula where all of the formula's bound variables get bound by logical quantifiers.

  2. prenexadjective

    Of a formula, having all of its quantifiers at the beginning.


  1. prenex

    A formula of the predicate calculus is in prenex normal form (PNF) if it is written as a string of quantifiers and bound variables, called the prefix, followed by a quantifier-free part, called the matrix. Together with the normal forms in propositional logic (e.g. disjunctive normal form or conjunctive normal form), it provides a canonical normal form useful in automated theorem proving. Every formula in classical logic is logically equivalent to a formula in prenex normal form. For example, if ϕ ( y ) {\displaystyle \phi (y)} , ψ ( z ) {\displaystyle \psi (z)} , and ρ ( x ) {\displaystyle \rho (x)} are quantifier-free formulas with the free variables shown then ∀ x ∃ y ∀ z ( ϕ ( y ) ∨ ( ψ ( z ) → ρ ( x ) ) ) {\displaystyle \forall x\exists y\forall z(\phi (y)\lor (\psi (z)\rightarrow \rho (x)))} is in prenex normal form with matrix ϕ ( y ) ∨ ( ψ ( z ) → ρ ( x ) ) {\displaystyle \phi (y)\lor (\psi (z)\rightarrow \rho (x))} , while ∀ x ( ( ∃ y ϕ ( y ) ) ∨ ( ( ∃ z ψ ( z ) ) → ρ ( x ) ) ) {\displaystyle \forall x((\exists y\phi (y))\lor ((\exists z\psi (z))\rightarrow \rho (x)))} is logically equivalent but not in prenex normal form.

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How to say prenex in sign language?


  1. Chaldean Numerology

    The numerical value of prenex in Chaldean Numerology is: 3

  2. Pythagorean Numerology

    The numerical value of prenex in Pythagorean Numerology is: 1

Translations for prenex

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"prenex." Definitions.net. STANDS4 LLC, 2023. Web. 22 Mar. 2023. <https://www.definitions.net/definition/prenex>.

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    lacking in nutritive value
    • A. repugnant
    • B. jejune
    • C. bibulous
    • D. valetudinarian

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