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A regular expression is particular instance of a non-[[deterministic]] [[finite]] state [[automaton]]. Regular expressions are a [[type-3 grammar]] in the [[Chomsky hierarchy]] of [[language]].
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A '''regular expression''' is used in computer software to define a sequence of characters.<ref>"A regular expression, or regex for short, is a pattern describing a certain amount of text." [http://www.regular-expressions.info/quickstart.html Regular Expression Quick Start]</ref>
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== Overview ==
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In general, any character will match itself, but there are a dozen special characters, including the [[escape character]].
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A regular expression is read from left to right and is processed one piece at a time.  Certain characters have special meanings within the description of a regular language:
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To match any of 2 or more characters, enclose them in square brackets. For example,
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gr[ae]y
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will match ''gray'' or ''grey''.
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A regular expression is matched from left to right and is processed one [[token]] at a time.  Certain characters have special meanings within the description of a regular language:
 
* '*' - the previous construction is matched 0 or more times
 
* '*' - the previous construction is matched 0 or more times
 
* '+' - the previous construction is matched 1 or more times
 
* '+' - the previous construction is matched 1 or more times
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* '\\' - a literal backslash
 
* '\\' - a literal backslash
 
* '\.' - a literal period
 
* '\.' - a literal period
* '\s' - any whitespace character
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* '\b' - a word boundary
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* '\d' - a digit
      
Regular expressions have also been extended by many languages, some of which extend them to the point where they are able to match a wider range of languages than is specified by a regular language.
 
Regular expressions have also been extended by many languages, some of which extend them to the point where they are able to match a wider range of languages than is specified by a regular language.
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== Examples ==
 
== Examples ==
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* /b[ae]t/ - matches 'bat', 'bet', 'batik', 'abet'
   
* /Mrs?\. Smith/ - matches 'Mr. Smith', 'Mrs. Smith'
 
* /Mrs?\. Smith/ - matches 'Mr. Smith', 'Mrs. Smith'
 
* /^a*b*$/ - matches 'a', 'ab', 'b', 'aaaab', 'abbbbb', 'aaabbb', ''
 
* /^a*b*$/ - matches 'a', 'ab', 'b', 'aaaab', 'abbbbb', 'aaabbb', ''
 
* /[1-9][0-9]*(\.0|([1-9][0-9]*))+/ - matches version numbers: 1, 1.0, 2.3, 103.4, 42.5.6.8.9, 7.0.8.9
 
* /[1-9][0-9]*(\.0|([1-9][0-9]*))+/ - matches version numbers: 1, 1.0, 2.3, 103.4, 42.5.6.8.9, 7.0.8.9
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== Limitations of regular expressions ==
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== Formal definition and Limitations ==
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A regular expression is not able to count.  This is because there is a finite number of states.  Consider the language that is specified by a<sup><small>n</small></sup>ba<sup><small>n</small></sup>.  Examples of this language include b, aba, aabaa, aaabaaa, etc... A regular expression - being a [[finite state automaton]] itself - has a finite number of states that it can be in.  If there a point at which the state loops back on itself it is no longer able to match that language.
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A '''regular expression''' is particular instance of a non-[[deterministic]] [[finite]] state [[automaton]].  Regular expressions are a [[type-3 grammar]] in the [[Chomsky hierarchy]] of [[language]].
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A regular expression is not able to count.  This is because there is a finite number of states.  Consider the language that is specified by a<sup>n</sup>ba<sup>n</sup>.  Examples of this language include b, aba, aabaa, aaabaaa, etc... A regular expression - being a [[finite state automaton]] itself - has a finite number of states that it can be in.  If there a point at which the state loops back on itself it is no longer able to match that language.
    
== See also ==
 
== See also ==
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== Further reading ==
 
== Further reading ==
 
* http://www.regular-expressions.info/reference.html
 
* http://www.regular-expressions.info/reference.html
 
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<references/>
[[Category:computer science]]
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[[Category:Computer Science]]
[[Category:language]]
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[[Category:Language]]
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