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A hierarchy of automatic omega−words having a decidable MSO theory

Abstract:

We investigate automatic presentations of omega-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 omega-words enjoying the ...

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Publisher copy:
10.1051/ita:2008008

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Role:
Editor
Role:
Editor
Journal:
RAIRO − Theor. Inf. Appl.
Volume:
42
Issue:
3
Pages:
417-450
Publication date:
2008-01-01
DOI:
URN:
uuid:851f338a-b0fe-4c90-a8ea-95a61282063c
Local pid:
cs:2799

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