License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICALP.2019.96
URN: urn:nbn:de:0030-drops-106726
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/10672/
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Watson, Thomas

Amplification with One NP Oracle Query

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LIPIcs-ICALP-2019-96.pdf (0.5 MB)

Abstract

We provide a complete picture of the extent to which amplification of success probability is possible for randomized algorithms having access to one NP oracle query, in the settings of two-sided, one-sided, and zero-sided error. We generalize this picture to amplifying one-query algorithms with q-query algorithms, and we show our inclusions are tight for relativizing techniques.

BibTeX - Entry

@InProceedings{watson:LIPIcs:2019:10672,
  author =	{Thomas Watson},
  title =	{{Amplification with One NP Oracle Query}},
  booktitle =	{46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)},
  pages =	{96:1--96:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-109-2},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{132},
  editor =	{Christel Baier and Ioannis Chatzigiannakis and Paola Flocchini and Stefano Leonardi},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/10672},
  URN =		{urn:nbn:de:0030-drops-106726},
  doi =		{10.4230/LIPIcs.ICALP.2019.96},
  annote =	{Keywords: Amplification, NP, oracle, query}
}

Keywords: Amplification, NP, oracle, query
Collection: 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)
Issue Date: 2019
Date of publication: 04.07.2019

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