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set-theoretic operation.

RAIRO - Theoretical Informatics and Applications (1)

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Wadge Degrees of ω-Languages of Deterministic Turing Machines
Victor Selivanov
Journal:

RAIRO - Theoretical Informatics and Applications / Volume 37 / Issue 1 / January 2003

Published online by Cambridge University Press:

15 November 2003, pp. 67-83

Print publication:

January 2003
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We describe Wadge degrees of ω-languages recognizable by deterministic Turing machines. In particular, it is shown that the ordinal corresponding to these degrees is ξω where ξ = ω1CK is the first non-recursive ordinal known as the Church–Kleene ordinal. This answers a question raised in [2].