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MR2755316 (2012d:03079) 03C57 (03B25 03D05 03F35 68R10)
Kuske, Dietrich; Liu, Jiamou; Lohrey, Markus The isomorphism problem for $\omega$-automatic trees. Computer science logic, 396–410, Lecture Notes in Comput. Sci., 6247, Springer, Berlin, 2010.
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