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Interval Domains and Computable Sequences: A Case Study of Domain Reductions

J Blanck, Jens Blanck Orcid Logo

The Computer Journal, Volume: 56, Issue: 1, Pages: 45 - 52

Swansea University Author: Jens Blanck Orcid Logo

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DOI (Published version): 10.1093/comjnl/bxs121

Abstract

The paper studies the spectrum of different computability concepts that occur for sequences of real data. In many circumstances, computability is stable with respect to some data, but this is often dependent on the operations considered. In particular, Mostowski showed in an early paper that there a...

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Published in: The Computer Journal
ISSN: 0010-4620 1460-2067
Published: 2013
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URI: https://cronfa.swan.ac.uk/Record/cronfa13741
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Abstract: The paper studies the spectrum of different computability concepts that occur for sequences of real data. In many circumstances, computability is stable with respect to some data, but this is often dependent on the operations considered. In particular, Mostowski showed in an early paper that there are many incompatible notions of computability for sequences of data. We use the notions of domain representations and domain representations to clarify the situation.
Keywords: computable sequences, domain representations, domain reductions
College: Faculty of Science and Engineering
Issue: 1
Start Page: 45
End Page: 52