The Computational Power of Infinite Time Blum–Shub–Smale Machines

P. Koepke; A. S. Morozov

doi:10.1007/s10469-017-9425-x

The Computational Power of Infinite Time Blum–Shub–Smale Machines

P. Koepke, A. S. Morozov

Кафедра дискретной математики и информатики ММФ и СУНЦ

Результат исследования: Научные публикации в периодических изданиях › статья

1 Цитирования (Scopus)

Аннотация

Functions that are computable on infinite time Blum–Shub–Smale machines (ITBM) are characterized via iterated Turing jumps, and we propose a normal form for these functions. It is also proved that the set of ITBM computable reals coincides with ℝ∩L_ωω.

Язык оригинала	английский
Страницы (с-по)	37-62
Число страниц	26
Журнал	Algebra and Logic
Том	56
Номер выпуска	1
DOI	https://doi.org/10.1007/s10469-017-9425-x
Состояние	Опубликовано - 1 мар 2017

Доступ к документу

10.1007/s10469-017-9425-x

Link to publication in Scopus

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Цитировать

Koepke, P., & Morozov, A. S. (2017). The Computational Power of Infinite Time Blum–Shub–Smale Machines. Algebra and Logic, 56(1), 37-62. https://doi.org/10.1007/s10469-017-9425-x

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