- 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 ...
Expand abstract - Publisher copy:
- 10.1051/ita:2008008
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- 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
- Copyright date:
- 2008
Journal article
A hierarchy of automatic omega−words having a decidable MSO theory
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