Tree automata and automata on linear orderings
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009) no. 2, pp. 321-338.

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We show that the inclusion problem is decidable for rational languages of words indexed by scattered countable linear orderings. The method leans on a reduction to the decidability of the monadic second order theory of the infinite binary tree [9].

DOI : 10.1051/ita/2009009
Classification : 68Q45, 03D05
Mots-clés : finite automata, words over linear orderings-trees, monadic second order logics 
@article{ITA_2009__43_2_321_0,
     author = {Bruy\`ere, V\'eronique and Carton, Olivier and S\'enizergues, G\'eraud},
     title = {Tree automata and automata on linear orderings},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {321--338},
     publisher = {EDP-Sciences},
     volume = {43},
     number = {2},
     year = {2009},
     doi = {10.1051/ita/2009009},
     zbl = {1166.68022},
     mrnumber = {2512262},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1051/ita/2009009/}
}
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Bruyère, Véronique; Carton, Olivier; Sénizergues, Géraud. Tree automata and automata on linear orderings. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 43 (2009) no. 2, pp. 321-338. doi : 10.1051/ita/2009009. https://geodesic-test.mathdoc.fr/articles/10.1051/ita/2009009/

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