Kleene closure
Kleene closure noun: the set of all strings of finite length made up of elements of a given set. (Then the Kleene closure is said to be of that given set. For a given set S, its Kleene closure may be denoted as S^*. The Kleene closure includes a string of zero length. Strings are equivalent to ordered tuples but written without the parentheses and commas.).
Noun
Kleene closure (plural Kleene closures)
- The set of all strings of finite length made up of elements of a given set. (Then the Kleene closure is said to be of that given set. For a given set S, its Kleene closure may be denoted as S^*. The Kleene closure includes a string of zero length. Strings are equivalent to ordered tuples but written without the parentheses and commas.)
Forms of Kleene closure
| plural | Kleene closures |
|---|
Origin of Kleene closure
Named in honor of Stephen Cole Kleene (1909–1994), an American mathematician. The “closure” part comes from the fact that a Kleene closure is closed with respect to concatenation; cf. free monoid.
Questions about Kleene closure
- What does Kleene closure mean?
- Kleene closure means the set of all strings of finite length made up of elements of a given set. (Then the Kleene closure is said to be of that given set. For a given set S, its Kleene closure may be denoted as S^*. The Kleene closure includes a string of zero length. Strings are equivalent to ordered tuples but written without the parentheses and commas.).
- What part of speech is Kleene closure?
- Kleene closure is a noun.
- What is the plural of Kleene closure?
- The plural of Kleene closure is Kleene closures.
Words near Kleene closure in the dictionary
Source and license
Adapted from Wiktionary: Kleene closure (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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Cite this entry: “Kleene closure.” Word.ws, https://word.ws/kleene_closure. Based on Wiktionary, CC BY-SA 4.0.