首页    期刊浏览 2025年02月20日 星期四
登录注册

文章基本信息

  • 标题:Speedup for Natural Problems and coNP?=NP
  • 本地全文:下载
  • 作者:Hunter Monroe
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:2009
  • 卷号:2009
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:Informally, a language L has speedup if, for any Turing machine for L, there exists one that is better. Blum showed that there are computable languages that have almost-everywhere speedup. These languages were unnatural in that they were constructed for the sole purpose of having such speedup. We identify a condition apparently only slightly stronger than P!=NP which implies that accepting any coNP-complete language has an infinitely-often (i.o.) superpolynomial speedup and NP!=coNP. We also exhibit a natural problem which unconditionally has a weaker type of i.o. speedup based upon whether the full input is read. Neither speedup pertains to the worst case.
  • 关键词:Speedability , Speedup
国家哲学社会科学文献中心版权所有