Star Height

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Geliefert zwischen Fr., 28.11.2025 und Mo., 01.12.2025

Details

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In theoretical computer science, more precisely in the theory of formal languages, the star height is a measure for the structural complexity of regular expressions: The star height equals the maximum nesting depth of stars appearing in the regular expression. The concept of star height was first defined and studied by Eggan (1963). More formally, the star height of a regular expression E over a finite alphabet A is inductively defined as follows: scriptstyle hleft(emptysetright),=,0, scriptstyle hleft(varepsilonright),=,0, and scriptstyle hleft(aright),=,0 for all alphabet symbols a in A. scriptstyle hleft(E Fright),=, hleft(E, mid, Fright),=,max left(, h(E), h(F),right) scriptstyle hleft(E^ right),=,h(E)+1. Here, scriptstyle emptyset is the special regular expression denoting the empty set and the special one denoting the empty word; E and F are arbitrary regular expressions. The star height h(L) of a regular language L is defined as the minimum star height among all regular expressions representing L.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131249853
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131249853
    • Format Fachbuch
    • Titel Star Height
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 72
    • Genre Informatik

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