电邮这篇文章 The Computational Power of Infinite Time Blum–Shub–Smale Machines
- 作者: Koepke P.1, Morozov A.S.2,3
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隶属关系:
- Math. Inst., Rheinische Friedrich–Wilhelms–Univ. Bonn
- Sobolev Institute of Mathematics
- Novosibirsk State University
- 期: 卷 56, 编号 1 (2017)
- 页面: 37-62
- 栏目: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/234020
- DOI: https://doi.org/10.1007/s10469-017-9425-x
- ID: 234020
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详细
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∩Lωω.
作者简介
P. Koepke
Math. Inst., Rheinische Friedrich–Wilhelms–Univ. Bonn
编辑信件的主要联系方式.
Email: Koepke@math.uni-bonn.de
德国, Endenicher Allee 60, Bonn, 53115
A. Morozov
Sobolev Institute of Mathematics; Novosibirsk State University
Email: Koepke@math.uni-bonn.de
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
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