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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 5, Pages 1019–1030
(Mi smj908)
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Index sets of classes of automatic structures
N. S. Vinokurov Novosibirsk State University, Mechanics and Mathematics Department
Abstract:
We obtain exact estimates in the arithmetical and analytical hierarchies of index sets of various classes of automatic models. We also obtain estimates for the existence problems for computable isomorphism and embedding of automatic structures.
Keywords:
automatic model, index set, computable isomorphism problem, uniformity, universality.
Received: 18.05.2005 Revised: 22.03.2006
Citation:
N. S. Vinokurov, “Index sets of classes of automatic structures”, Sibirsk. Mat. Zh., 47:5 (2006), 1019–1030; Siberian Math. J., 47:5 (2006), 835–843
Linking options:
https://www.mathnet.ru/eng/smj908 https://www.mathnet.ru/eng/smj/v47/i5/p1019
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Abstract page: | 254 | Full-text PDF : | 78 | References: | 56 |
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