Displaying similar documents to “Hierarchies of function classes defined by the first-value operator”

Good choice sets

J. C. E. Dekker (1966)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Wadge degrees of ω -languages of deterministic Turing machines

Victor Selivanov (2003)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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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 ξ ω where ξ = ω 1 CK is the first non-recursive ordinal known as the Church–Kleene ordinal. This answers a question raised in [2].