1 Search Results for "Pervyshev, Konstantin"


Document
A Generic Time Hierarchy for Semantic Models With One Bit of Advice

Authors: Dieter van Melkebeek and Konstantin Pervyshev

Published in: Dagstuhl Seminar Proceedings, Volume 6111, Complexity of Boolean Functions (2006)


Abstract
We show that for any reasonable semantic model of computation and for any positive integer $a$ and rationals $1 leq c < d$, there exists a language computable in time $n^d$ with $a$ bits of advice but not in time $n^c$ with $a$ bits of advice. A semantic model is one for which there exists a computable enumeration that contains all machines in the model but may also contain others. We call such a model reasonable if it has an efficient universal machine that can be complemented within the model in exponential time and if it is efficiently closed under deterministic transducers. Our result implies the first such hierarchy theorem for randomized machines with zero-sided error, quantum machines with one- or zero-sided error, unambiguous machines, symmetric alternation, Arthur-Merlin games of any signature, interactive proof protocols with one or multiple provers, etc.

Cite as

Dieter van Melkebeek and Konstantin Pervyshev. A Generic Time Hierarchy for Semantic Models With One Bit of Advice. In Complexity of Boolean Functions. Dagstuhl Seminar Proceedings, Volume 6111, pp. 1-39, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)


Copy BibTex To Clipboard

@InProceedings{vanmelkebeek_et_al:DagSemProc.06111.3,
  author =	{van Melkebeek, Dieter and Pervyshev, Konstantin},
  title =	{{A Generic Time Hierarchy for Semantic Models With One Bit of Advice}},
  booktitle =	{Complexity of Boolean Functions},
  pages =	{1--39},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6111},
  editor =	{Matthias Krause and Pavel Pudl\'{a}k and R\"{u}diger Reischuk and Dieter van Melkebeek},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.06111.3},
  URN =		{urn:nbn:de:0030-drops-6151},
  doi =		{10.4230/DagSemProc.06111.3},
  annote =	{Keywords: Time hierarchy, non-uniformity, one bit of advice, probabilistic algorithms}
}
  • Refine by Author
  • 1 Pervyshev, Konstantin
  • 1 van Melkebeek, Dieter

  • Refine by Classification

  • Refine by Keyword
  • 1 Time hierarchy
  • 1 non-uniformity
  • 1 one bit of advice
  • 1 probabilistic algorithms

  • Refine by Type
  • 1 document

  • Refine by Publication Year
  • 1 2006

Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail