regular expressions

Star height problem ★★

Author(s): Lawrence Eggan C.

\begin{conjecture} The \href[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 depth of one always sufficient? If not, is there an algorithm to determine how many are required? \end{conjecture}

Keywords: formal language; Kleene stars; regular expressions; regular languages

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