Noncomputable functions in the Blum-Shub-Smale model

Working in the Blum-Shub-Smale model of computation on the real numbers, we answer several questions of Meer and Ziegler. First, we show that, for each natural number d, an oracle for the set of algebraic real numbers of degree at most d is insufficient to allow an oracle BSS-machine to decide membe...

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Bibliographic Details
Main Authors: Wesley Calvert, Ken Kramer, Russell Miller
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2011-05-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/1226/pdf

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