different between quantifier vs prenex

English

Etymology

quantify +? -er

Noun

quantifier (plural quantifiers)

1. (grammar) A word, such as all or many, that expresses a quantity
2. (logic) An operator, such as the universal quantifier (written as ?) or the existential quantifier (?), used in predicate calculus to indicate the degree that predicate is true for a specified set.
3. (computing) A symbol or symbols in a regular expression indicating the number of characters to be matched.

Hypernyms

• (grammar): determiner

Derived terms

• existential quantifier
• quantifier elimination
• universal quantifier

Related terms

• quantification
• quantify

Translations

French

Etymology

From English quantify.

Pronunciation

• IPA^(key): /k??.ti.fje/

Verb

quantifier

1. to quantify

Conjugation

Further reading

• “quantifier” in Trésor de la langue française informatisé (The Digitized Treasury of the French Language).

English

Etymology

From Late Latin praenexus (“bound up in front”), a compound of prae (“before”) and nexus, past participle of nect? (“to bind”)

Adjective

prenex (not comparable)

1. (mathematics, logic) Of a formula, having all of its quantifiers at the beginning.

   • "We say that ${\displaystyle \phi }$ is universal iff it can be written in prenex form — i.e. with all quantifiers at the beginning — using only universal quantifiers."

Noun

prenex (plural prenexes)

1. (mathematics, logic) Part at the beginning of a prenex formula where all of the formula's bound variables get bound by logical quantifiers.

   ${\displaystyle \forall x.\exists y.}$ is the prenex of the formula ${\displaystyle \forall x.\exists y.P(x,y)}$

Derived terms

• prenex normal form

References