Abstract

The main theorem gives a sufficient condition for an AFL to be the closure under union of the set of images under rational transductions of any of its sets of generators. All the AFL's known to have this property satisfy the given condition. As an application we give a short proof of the fact that every generator of the AFL of algebraic (context-free) languages is a faithful generator, i.e. can be mapped onto every algebraic language by a faithful (& free) rational transduction.

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