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Skolemization

Skolemization noun: the conversion of a formula of first-order logic which involves the following steps: (1) replace free variables with constants, (2) replace any variable bound by an existential quantifier which lies in the scope of an even number of logical negations with a Skolem function, and (3) replace any variable bound by a universal quantifier which lies in the scope of an odd number of negations with a Skolem function.

Noun

Skolemization (uncountable)

  1. The conversion of a formula of first-order logic which involves the following steps: (1) replace free variables with constants, (2) replace any variable bound by an existential quantifier which lies in the scope of an even number of logical negations with a Skolem function, and (3) replace any variable bound by a universal quantifier which lies in the scope of an odd number of negations with a Skolem function.

Origin of Skolemization

Named after Thoralf Skolem (1887–1963), Norwegian mathematician.

Questions about Skolemization

What does Skolemization mean?
Skolemization means the conversion of a formula of first-order logic which involves the following steps: (1) replace free variables with constants, (2) replace any variable bound by an existential quantifier which lies in the scope of an even number of logical negations with a Skolem function, and (3) replace any variable bound by a universal quantifier which lies in the scope of an odd number of negations with a Skolem function.
What part of speech is Skolemization?
Skolemization is a noun.

Words near Skolemization in the dictionary

  1. skolecite
  2. skoled
  3. Skolem function
  4. Skolem functions
  5. Skolemisation
  6. Skolemization
  7. Skolemnization
  8. skolezite
  9. skolia
  10. skoling
  11. skolion

Source and license

Adapted from Wiktionary: Skolemization (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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