star height

star height
A measure of the structural complexity of a regular expression, equal to the maximum nesting depth of stars in the expression.

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  • Star height — In mathematics, the star height h ( E ) of a regular expression E over a finite alphabet A is defined as follows [ The definition given here is that of generalized star height since regular expressions are allowed to use the complement operator.] …   Wikipedia

  • Star height problem — The star height problem in formal language theory is the question whether all regular languages can be expressed using regular expressions of limited star height, i. e. with a limited nesting depth of Kleene stars. Specifically, is a nesting… …   Wikipedia

  • Generalized star height problem — The generalized star height problem in formal language theory is the open question whether all regular languages can be expressed using regular expressions with a built in complement operator of limited star height, i. e. with a limited nesting… …   Wikipedia

  • Star-free language — A regular language is said to be star free if it can be described by a regular expression constructed from the letters of the alphabet, the empty set symbol, boolean operators and concatenation but no Kleene star. For instance, the language of… …   Wikipedia

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  • height — [hīt] n. [< earlier highth < ME heighthe < OE hiehthu (akin to Goth hauhitha) < heah: see HIGH & TH1] 1. the topmost point of anything 2. the highest limit; greatest degree; extreme; climax; culmination [the height of absurdity] 3.… …   English World dictionary

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