Definitions for kleene star
kleene star

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1. Kleene starnoun

   The asterisk, *, used as an operator to concatenate zero or more strings from a given set, widely used in regular expressions.

2. Etymology: After Stephen Cole Kleene (1909-1994), American mathematician.

WikipediaRate this definition:0.0 / 0 votes

1. Kleene star

   In mathematical logic and computer science, the Kleene star (or Kleene operator or Kleene closure) is a unary operation, either on sets of strings or on sets of symbols or characters. In mathematics, it is more commonly known as the free monoid construction. The application of the Kleene star to a set V {\displaystyle V} is written as V ∗ {\displaystyle V^{*}} . It is widely used for regular expressions, which is the context in which it was introduced by Stephen Kleene to characterize certain automata, where it means "zero or more repetitions". If V {\displaystyle V} is a set of strings, then V ∗ {\displaystyle V^{*}} is defined as the smallest superset of V {\displaystyle V} that contains the empty string ε {\displaystyle \varepsilon } and is closed under the string concatenation operation. If V {\displaystyle V} is a set of symbols or characters, then V ∗ {\displaystyle V^{*}} is the set of all strings over symbols in V {\displaystyle V} , including the empty string ε {\displaystyle \varepsilon } .The set V ∗ {\displaystyle V^{*}} can also be described as the set containing the empty string and all finite-length strings that can be generated by concatenating arbitrary elements of V {\displaystyle V} , allowing the use of the same element multiple times. If V {\displaystyle V} is either the empty set ∅ or the singleton set { ε } {\displaystyle \{\varepsilon \}} , then V ∗ = { ε } {\displaystyle V^{*}=\{\varepsilon \}} ; if V {\displaystyle V} is any other finite set or countably infinite set, then V ∗ {\displaystyle V^{*}} is a countably infinite set. As a consequence, each formal language over a finite or countably infinite alphabet Σ {\displaystyle \Sigma } is countable, since it is a subset of the countably infinite set Σ ∗ {\displaystyle \Sigma ^{*}} . The operators are used in rewrite rules for generative grammars.

WikidataRate this definition:5.0 / 1 vote

1. Kleene star

   In mathematical logic and computer science, the Kleene star is a unary operation, either on sets of strings or on sets of symbols or characters. In mathematics it is more commonly known as the free monoid construction. The application of the Kleene star to a set V is written as V*. It is widely used for regular expressions, which is the context in which it was introduced by Stephen Kleene to characterise certain automata, where it means "zero or more". ⁕If V is a set of strings then V* is defined as the smallest superset of V that contains λ and is closed under the string concatenation operation. ⁕If V is a set of symbols or characters then V* is the set of all strings over symbols in V, including the empty string. The set V* can also be described as the set of finite-length strings that can be generated by concatenating arbitrary elements of V allowing the use of the same element multiple times. If V is a nonempty finite set then V* is a countably infinite set. The operators are used in rewrite rules for generative grammars.

How to pronounce kleene star?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say kleene star in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of kleene star in Chaldean Numerology is: 8

2. Pythagorean Numerology

   The numerical value of kleene star in Pythagorean Numerology is: 2

References

1. ^ Wiktionary
   https://en.wiktionary.org/wiki/Kleene_Star
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Kleene_Star
3. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=kleene star