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Kleene's recursion theorem

Kleene's recursion theorem proper noun: either of are a pair of fundamental results about the application of computable functions to their own descriptions. They can be applied to construct fixed points of certain operations on computable functions, to generate quines, and to construct functions defined via recursive definitions.

Proper noun

Kleene's recursion theorem (plural Kleene's recursion theorems)

  1. Either of are a pair of fundamental results about the application of computable functions to their own descriptions. They can be applied to construct fixed points of certain operations on computable functions, to generate quines, and to construct functions defined via recursive definitions.

Forms of Kleene's recursion theorem

pluralKleene's recursion theorems

Origin of Kleene's recursion theorem

Named after mathematician Stephen Cole Kleene.

Questions about Kleene's recursion theorem

What does Kleene's recursion theorem mean?
Kleene's recursion theorem means either of are a pair of fundamental results about the application of computable functions to their own descriptions. They can be applied to construct fixed points of certain operations on computable functions, to generate quines, and to construct functions defined via recursive definitions.
What part of speech is Kleene's recursion theorem?
Kleene's recursion theorem is a proper noun.

Words near Kleene's recursion theorem in the dictionary

  1. Kleene plus
  2. Kleene pluses
  3. Kleene star
  4. Kleene stars
  5. Kleene's fixed-point theorem
  6. Kleene's recursion theorem
  7. Kleene's recursion theorems
  8. Kleene's theorem
  9. Kleene-Mostowski hierarchy
  10. Kleenean
  11. kleeneboc

Source and license

Adapted from Wiktionary: Kleene's recursion theorem (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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