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.CCC.2017.12
URN: urn:nbn:de:0030-drops-75388
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/7538/
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Göös, Mika ; Kamath, Pritish ; Pitassi, Toniann ; Watson, Thomas

Query-to-Communication Lifting for P^NP

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LIPIcs-CCC-2017-12.pdf (0.7 MB)

Abstract

We prove that the P^NP-type query complexity (alternatively, decision list width) of any boolean function f is quadratically related to the P^NP-type communication complexity of a lifted version of f. As an application, we show that a certain "product" lower bound method of Impagliazzo and Williams (CCC 2010) fails to capture P^NP communication complexity up to polynomial factors, which answers a question of Papakonstantinou, Scheder, and Song (CCC 2014).

BibTeX - Entry

@InProceedings{gs_et_al:LIPIcs:2017:7538,
  author =	{Mika G{\"o}{\"o}s and Pritish Kamath and Toniann Pitassi and Thomas Watson},
  title =	{{Query-to-Communication Lifting for P^NP}},
  booktitle =	{32nd Computational Complexity Conference (CCC 2017)},
  pages =	{12:1--12:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-040-8},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{79},
  editor =	{Ryan O'Donnell},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7538},
  URN =		{urn:nbn:de:0030-drops-75388},
  doi =		{10.4230/LIPIcs.CCC.2017.12},
  annote =	{Keywords: Communication Complexity, Query Complexity, Lifting Theorem, P^NP}
}

Keywords: Communication Complexity, Query Complexity, Lifting Theorem, P^NP
Collection: 32nd Computational Complexity Conference (CCC 2017)
Issue Date: 2017
Date of publication: 01.08.2017

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