Partial Decidable Presentations in Hyperarithmetic

I. Sh Kalimullin; V. G. Puzarenko; M. Kh Faizrahmanov

doi:10.1134/S0037446619030091

Partial Decidable Presentations in Hyperarithmetic

I. Sh Kalimullin, V. G. Puzarenko, M. Kh Faizrahmanov

Кафедра математических наук ММФ и СУНЦ НГУ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

2 Цитирования (Scopus)

Аннотация

We study the problem of the existence of decidable and positive Π11- and Σ11-numberings of the families of Π11- and Σ11-cones with respect to inclusion. Some laws are found that reflect the presence of decidable computable Π11- and Σ11-numberings of these families in dependence on the analytical complexity of the set defining a cone.

Язык оригинала	английский
Страницы (с-по)	464-471
Число страниц	8
Журнал	Siberian Mathematical Journal
Том	60
Номер выпуска	3
DOI	https://doi.org/10.1134/S0037446619030091
Состояние	Опубликовано - 1 мая 2019

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10.1134/S0037446619030091

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Partial Decidable Presentations in Hyperarithmetic. / Kalimullin, I. Sh; Puzarenko, V. G.; Faizrahmanov, M. Kh.

В: Siberian Mathematical Journal, Том 60, № 3, 01.05.2019, стр. 464-471.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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AU - Puzarenko, V. G.

AU - Faizrahmanov, M. Kh

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N2 - We study the problem of the existence of decidable and positive Π11- and Σ11-numberings of the families of Π11- and Σ11-cones with respect to inclusion. Some laws are found that reflect the presence of decidable computable Π11- and Σ11-numberings of these families in dependence on the analytical complexity of the set defining a cone.

AB - We study the problem of the existence of decidable and positive Π11- and Σ11-numberings of the families of Π11- and Σ11-cones with respect to inclusion. Some laws are found that reflect the presence of decidable computable Π11- and Σ11-numberings of these families in dependence on the analytical complexity of the set defining a cone.

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KW - computably enumerable set

KW - constructible admissible set

KW - decidable numbering

KW - e-reducibility

KW - hyperarithmetic set

KW - numbering

KW - positive numbering

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DO - 10.1134/S0037446619030091

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JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

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Partial Decidable Presentations in Hyperarithmetic

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