Displaying similar documents to “On computable real functions”

On the hierarchies of Δ -real numbers

Xizhong Zheng (2007)

RAIRO - Theoretical Informatics and Applications

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A real number is called Δ if its binary expansion corresponds to a Δ -set of natural numbers. Such reals are just the limits of computable sequences of rational numbers and hence also called computably approximable. Depending on how fast the sequences converge, Δ -reals have different levels of effectiveness. This leads to various hierarchies of Δ reals. In this survey paper we summarize several recent developments related...