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We investigate automatic presentations of -words.
Starting points of our study are the works of Rigo and Maes,
Caucal, and Carton and Thomas concerning lexicographic presentation,
MSO-interpretability in algebraic trees, and the decidability of
the MSO theory of morphic words.
Refining their techniques we observe that the lexicographic
presentation of a (morphic) word is in a certain sense canonical.
We then generalize our techniques to a hierarchy of classes of -words
enjoying the above mentioned...
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