## 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

### Keywords:

suffix grammars; prefix grammars; regular languages
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### References:

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