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Prefix grammars: An alternative characterization of the regular languages. (English) Zbl 0813.68125

A prefix grammar \(G\) describes a language \(L_ G\) by (1) explicitly specifying a finite subset of the strings of \(L_ G\), and (2) specifying productions that rewrite prefixes of strings in \(L_ G\), to yield other strings in \(L_ G\). Suffix grammars can be defined in the obvious manner analogous to prefix grammars. This paper shows that prefix grammars generate exactly the regular languages.

MSC:

68Q45 Formal languages and automata
68Q42 Grammars and rewriting systems
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References:

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