Real Analytic Machines and Degrees

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 a...

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Bibliographic Details
Main Authors: Tobias Gärtner, Martin Ziegler
Format: Article
Language:English
Published: Open Publishing Association 2010-06-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1006.0398v1