Word Pronunciation & Dictionary

kleene fixed-point theorem

Word Rarity Very rare

Frequency: Zipf frequency 1.54 in modern English

Syllables: kleene -fixed--point the-o-rem
IPA

45

Scrabble Score

23

Letters

6

Syllables

14

Unique Chars

Meaning

name

Suppose (L,⊑) is a directed-complete partial order with a least element, and let f:L→L be a Scott-continuous (and therefore monotone) function. Then f has a least fixed point, which is the supremum of the ascending Kleene chain of f.

Etymology

Named after American mathematician Stephen Cole Kleene.

Inflected Forms

the Kleene fixed-point theorem (canonical) Kleene's fixed-point theorem (alternative)

Questions

What does kleene fixed-point theorem mean?: Suppose (L,⊑) is a directed-complete partial order with a least element, and let f:L→L be a Scott-continuous (and therefore monotone) function. Then f has a least fixed point, which is the supremum of the ascending Kleene chain of f.
Where does kleene fixed-point theorem come from?: Named after American mathematician Stephen Cole Kleene.

How to pronounce kleene fixed-point theorem

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