Complexity theory of real functions
Complexity theory of real functions
Relatively recursive reals and real functions
Theoretical Computer Science - Special issue on real numbers and computers
Weakly computable real numbers
Journal of Complexity
Recursively enumerable reals and Chaitin &OHgr; numbers
Theoretical Computer Science
A Finite Hierarchy of the Recursively Enumerable Real Numbers
MFCS '98 Proceedings of the 23rd International Symposium on Mathematical Foundations of Computer Science
Weakly Computable Real Numbers and Total Computable Real Functions
COCOON '01 Proceedings of the 7th Annual International Conference on Computing and Combinatorics
The Degree of Unsolvability of a Real Number
CCA '00 Selected Papers from the 4th International Workshop on Computability and Complexity in Analysis
On the hierarchy and extension of monotonically computable real numbers
Journal of Complexity
On the divergence bounded computable real numbers
COCOON'03 Proceedings of the 9th annual international conference on Computing and combinatorics
Solovay reducibility on d-c.e real numbers
COCOON'05 Proceedings of the 11th annual international conference on Computing and Combinatorics
Geometrical accumulations and computably enumerable real numbers
UC'11 Proceedings of the 10th international conference on Unconventional computation
On logarithmic-space computable real numbers
Theoretical Computer Science
Abstract geometrical computation 7: geometrical accumulations and computably enumerable real numbers
Natural Computing: an international journal
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In mathematics, various representations of real numbers have been investigated. Their standard effectivizations lead to equivalent definitions of computable real numbers. For the primitive recursive level, however, these effectivizations are not equivalent any more. Similarly, if the weaker computability is considered, we usually obtain different weak computability notions of reals according to different representations of real number. In this paper we summarize several recent results about weak computability of real numbers and their hierarchies.