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

Algebra and Logic - Tập 56 - Trang 37-62 - 2017
P. Koepke1, A. S. Morozov2,3
1Math. Inst., Rheinische Friedrich–Wilhelms–Univ. Bonn, Bonn, Germany
2Sobolev Institute of Mathematics, Novosibirsk, Russia
3Novosibirsk State University, Novosibirsk, Russia

Tóm tắt

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.

Tài liệu tham khảo

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