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Nondeterministic logspace reductions

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Mathematical Foundations of Computer Science 1984 (MFCS 1984)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 176))

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Abstract

Nondetermistic logspace-bounded reductions are introduced. A set in DSPACE(log n), NP-complete with respect to these reductions, is exhibited, which makes the transitive closure of the NLOG(·)-operation quite unlikely, unless NSPACE(log n) = NP is assumed. In contrast to this the NLOG-closure of NLOG(NLOG(·))-classes is shown.

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M. P. Chytil V. Koubek

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© 1984 Springer-Verlag Berlin Heidelberg

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Klaus, Lange, J. (1984). Nondeterministic logspace reductions. In: Chytil, M.P., Koubek, V. (eds) Mathematical Foundations of Computer Science 1984. MFCS 1984. Lecture Notes in Computer Science, vol 176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030320

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  • DOI: https://doi.org/10.1007/BFb0030320

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13372-8

  • Online ISBN: 978-3-540-38929-3

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