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Splitting and non-splitting in the difference hierarchy

Published online by Cambridge University Press:  20 June 2016

MARAT ARSLANOV
MARAT ARSLANOV*
Affiliation:
Department of Mathematics, Kazan Federal University, Kazan, Russia Email: Marat.Arslanov@kpfu.ru
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Abstract

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In this paper, we investigate splitting and non-splitting properties in the Ershov difference hierarchy, in which area major contributions have been made by Barry Cooper with his students and colleagues. In the first part of the paper, we give a brief survey of his research in this area and discuss a number of related open questions. In the second part of the paper, we consider a splitting of 0′ with some additional properties.

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Type
Paper
Information
Mathematical Structures in Computer Science , Volume 28 , Special Issue 3: Mind, Mechanism and Mathematics: Computability Unchained , March 2018 , pp. 384 - 391
Copyright
Copyright © Cambridge University Press 2016 

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