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There is an Sw-Cuppable Strongly c.e. Real

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Book cover Theory and Applications of Models of Computation (TAMC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4484))

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Abstract

The strong weak truth table (sw) reducibility was suggested by Downey, Hirschfeldt and LaForte as a measure of relative randomness. In this paper, in order to discuss the structure of sw-degrees further, we introduce the definition of sw-cuppable for c.e. reals. For c.e reals, it is natural to conclude that there exist sw-cuppable c.e. reals. The main result of this paper is that there exists an sw-cuppable strongly c.e. real.

This work is supported by DFG (446 CHV 113/240/0-1) and NSFC (10420130638).

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References

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Jin-Yi Cai S. Barry Cooper Hong Zhu

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© 2007 Springer-Verlag Berlin Heidelberg

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Fan, Y. (2007). There is an Sw-Cuppable Strongly c.e. Real. In: Cai, JY., Cooper, S.B., Zhu, H. (eds) Theory and Applications of Models of Computation. TAMC 2007. Lecture Notes in Computer Science, vol 4484. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72504-6_19

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  • DOI: https://doi.org/10.1007/978-3-540-72504-6_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72503-9

  • Online ISBN: 978-3-540-72504-6

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