Enumerating regular languages in radix order : Revisiting the Ackerman-Shallit algorithm

Abstract

We consider the problem of enumerating a regular language $L$ in radix order, or more precisely, the equivalent problem of enumerating all words in $L$ of a given length in lexicographic order. Ackerman and Shallit gave in 2009 the principles of an efficient solution to this problem, but they did not use the enumeration complexity framework for their analysis. We adapt their work into an explicit algorithm that fits this framework.