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Presentations of K-Trivial Reals and Kolmogorov Complexity

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New Computational Paradigms (CiE 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3526))

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Abstract

For given real α ∈ {0,1} ∞ , a presentation V of α is a prefix-free and recursively enumerable subset of {0,1}* such that \(\alpha = \Sigma_{\sigma\epsilon\nu}2^{-|\sigma|}\). So, α has a presentation iff α is a left-r.e. real.

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Stephan, F., Wu, G. (2005). Presentations of K-Trivial Reals and Kolmogorov Complexity. In: Cooper, S.B., Löwe, B., Torenvliet, L. (eds) New Computational Paradigms. CiE 2005. Lecture Notes in Computer Science, vol 3526. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11494645_57

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  • DOI: https://doi.org/10.1007/11494645_57

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26179-7

  • Online ISBN: 978-3-540-32266-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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