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arXiv · 1006.0398

Real Analytic Machines and Degrees

Tobias Gärtner·Martin Ziegler
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Abstract

We study and compare in two degree-theoretic ways (iterated Halting oracles analogous to Kleene's arithmetical hierarchy and the Borel hierarchy of descriptive set theory) the capabilities and limitations of three models of analytic computation: BSS machines (aka real-RAM) and strongly/weakly analytic machines as introduced by Hotz et. al. (1995).

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Tobias Gärtner, Martin Ziegler. 2011-09-01. Real Analytic Machines and Degrees. https://doi.org/10.2168/lmcs-7(3%3A11)2011

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