Alphabet Computer Science

to denote the set of all finite strings over the alphabet $\Sigma$ . Here, the ${}^---$ denotes the Kleene Star operator. We write $\Sigma^\infty$ (or occasionally, $\Sigma^\N$ or $\Sigma^\omega$ ) to denote the set of all infinite sequences over the alphabet $\Sigma$ .

For example, if we use the binary alphabet {0,1}, the strings {ε, 0, 1, 00, 01, 10, 11, 000, etc.) would all be in the Kleene closure of the alphabet (where ε represents the Empty String )

Alphabets are important in the use of Formal Languages , Automatons and Semiautomaton s. Automatons, such as Deterministic Finite Automaton s (DFAs), require an alphabet in the formal definition.

SEE ALSO

Formal Language

Syntax

Semantics

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Alphabet Computer Science