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Probabilistics Turing machines and recursively enumerable Dedekind cuts

โœ Scribed by M. Chrobak; B.S. Chlebus


Book ID
113162689
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
406 KB
Volume
19
Category
Article
ISSN
0020-0190

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In this paper we compare recursively enumerable subsets of R" in two computing models over real numbers: the Blum-Shub-Smale machine and the oracle Turing machine. We prove that any Turing RE open subset of RY is a BSS RE set, while a Turing RE closed set may not be a BSS RE set. As an application