Khutoretskii’s Theorem for Generalized Computable Families


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We give sufficient conditions for generalized computable numberings to satisfy the statement of Khutoretskii’s theorem. This implies limitedness of universal \( {\varSigma}_{\alpha}^0- \) computable numberings for 2 \( \le \alpha <{\omega}_1^{CK}. \)

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M. Faizrakhmanov

Kazan (Volga Region) Federal University

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Email: marat.faizrahmanov@gmail.com
俄罗斯联邦, ul. Kremlevskaya 18, Kazan, 420008

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