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Part of the book series: Synthese Library ((SYLI,volume 306))

Abstract

We analyze the quantitative structure of Δ 02 . Among other things, we prove that a set is Turing complete if and only if its lower cone is non-negligible, and that the sets of r.e.-degree form a small subset of Δ 02 .

Research supported by a Marie Curie fellowship of the European Union under grant no. ERB-FMBI-CT98-3248.

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Terwijn, S.A. (2001). On the Quantitative Structure of Δ 02 . In: Schuster, P., Berger, U., Osswald, H. (eds) Reuniting the Antipodes — Constructive and Nonstandard Views of the Continuum. Synthese Library, vol 306. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9757-9_23

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  • DOI: https://doi.org/10.1007/978-94-015-9757-9_23

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5885-0

  • Online ISBN: 978-94-015-9757-9

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