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English
Kleene plus
unary operation on sets of strings, used in regular expressions for "one or more repetitions"
positive closure
Kleene plus operator
Kleene positive closure
one or more
1 or more
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Statements
instance of
unary operation
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facet of
regular expression
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named after
Stephen Cole Kleene
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defining formula
V
+
=
⋃
i
∈
Z
+
V
i
; where
V
0
=
ϵ
and
V
i
=
V
i
−
1
⌢
V
{\displaystyle V^{+}=\bigcup _{i\in \mathbb {Z} _{+}}V^{i}{\text{; where }}V^{0}=\epsilon {\text{ and }}V^{i}=V^{i-1}\mathbin {^{\frown }} V}
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V
+
=
V
∗
⌢
V
{\displaystyle V^{+}=V^{*}\mathbin {^{\frown }} V}
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in defining formula
+
{\displaystyle ^{+}}
symbol represents
Kleene plus
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Z
+
{\displaystyle \mathbb {Z} _{+}}
symbol represents
set of positive integers
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ϵ
{\displaystyle \epsilon }
symbol represents
empty string
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⌢
{\displaystyle \mathbin {^{\frown }} }
symbol represents
concatenation of sets of strings
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∗
{\displaystyle ^{*}}
symbol represents
Kleene star
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definition domain
set
of
string
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described at URL
https://en.wikipedia.org/wiki/Kleene_star#Kleene_plus
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notation
plus sign
of
superscript
applies to part
mathematical notation
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plus sign
applies to part
programming language
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maintained by WikiProject
WikiProject Mathematics
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different from
Kleene star
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Sitelinks
Wikipedia
(1 entry)
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enwiki
Kleene plus
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