Reference:

A. Bouajjani, J. Esparza, A. Finkel, O. Maler, P. Rossmanith, B. Willems, and P. Wolper. An efficient automata approach to some problems on context-free grammars. Information Processing Letters, 74(5–6):221–227, 2000.

Abstract:

In Chapter 4 of their book ``String-Rewriting Systems'', Book and Otto solve a number of word problems for monadic string-rewriting systems using an elegant automata-based technique. In this note we observe that the technique is also very interesting from a pedagogical point of view, since it provides a uniform solution to several elementary problems on context-free languages.

Suggested BibTeX entry:

@article{BEFMRWW00,
    author = {A. Bouajjani and J. Esparza and A. Finkel and O. Maler and P. Rossmanith and B. Willems and P. Wolper},
    journal = {Information Processing Letters},
    number = {5--6},
    pages = {221--227},
    title = {An Efficient Automata Approach to Some Problems on Context-free Grammars},
    volume = {74},
    year = {2000}
}