Oracles versus proof techniques that do not relativize

  • Eric Allender

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Scopus citations

Abstract

Oracle constructions have long been used to provide evidence that certain questions in complexity theory cannot be resolved using the usual techniques of simulation and diagonalization. However, the existence of nonrelativizing proof techniques seems to call this practice into question. This paper reviews the status of nonrelativizing proof techniques, and argues that many oracle constructions still yield valuable information about problems in complexity theory.

Original languageEnglish (US)
Title of host publicationAlgorithms - International Symposium SlGAL 1990, Proceedings
EditorsToshihide lbaraki, Takao Nishizeki, Hiroshi Imai, Tetsuo Asano
PublisherSpringer Verlag
Pages39-52
Number of pages14
ISBN (Print)9783540529217
DOIs
StatePublished - 1990
Event1st SIGAL International Symposium on Algorithms, 1990 - Tokyo, Japan
Duration: Aug 16 1990Aug 18 1990

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume450 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other1st SIGAL International Symposium on Algorithms, 1990
Country/TerritoryJapan
CityTokyo
Period8/16/908/18/90

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • General Computer Science

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