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May 31, 2013 at 12:15 comment added Sam Nead The tricky part is that the deterministic FSA may be exponentially larger than the given regular expression! Disambiguation is also supposedly dealt with in Volume A, Chapter 8 of "Automata, languages, and machines" by Samuel Eilenberg. I found this reference somewhat cryptic.
May 31, 2013 at 12:11 comment added Sam Nead I've deleted my previous comments, after pulling all of the interesting material here. For anybody reading this: there is a delicate point residing in the phrase "unambiguous regular expression". If you are given the language via a regular expression, then the process of disambiguation goes via constructing a deterministic FSA for the language. For a how-to, see: mathoverflow.net/questions/45149/…
Jun 21, 2011 at 20:21 comment added Victor Thanks, it's actually so obvious now indeed that the correspondent power series is rational. I should have given a normal proper thought about the question.
Jun 21, 2011 at 20:18 vote accept Victor
Jun 21, 2011 at 20:04 history answered Steven Stadnicki CC BY-SA 3.0