The zero-one law holds for RPP

被引:0
|
作者
van Melkebeek, D [1 ]
机构
[1] Rutgers State Univ, DIMACS Ctr, Piscataway, NJ 08854 USA
关键词
theory of computation; computational complexity; resource-bounded measure; zero-one law; derandomization;
D O I
10.1016/S0304-3975(00)00191-2
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We show that BPP has p-measure zero if and only if BPP differs from EXP. The same holds when we replace BPP by any complexity class Gt:that contains BPP and is closed under tt-reductions. The zero-one law for each of these classes C follows: Within EXP,C has either measure zero or else measure one. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:283 / 288
页数:6
相关论文
共 50 条
  • [1] ON A ZERO-ONE LAW
    BARTFAI, P
    REVESZ, P
    [J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1967, 7 (01): : 43 - &
  • [2] ZERO-ONE LAW
    BLUM, JR
    PATHAK, PK
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1972, 43 (03): : 1008 - &
  • [3] The zero-one law holds for [script B] [script P] [script P]
    Van, Melkebeek, Dieter
    [J]. 2000, Elsevier (244) : 1 - 2
  • [4] AN APPROXIMATE ZERO-ONE LAW
    RUSSO, L
    [J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1982, 61 (01): : 129 - 139
  • [5] A GEOMETRIC ZERO-ONE LAW
    Gilman, Robert H.
    Gurevich, Yuri
    Miasnikov, Alexei
    [J]. JOURNAL OF SYMBOLIC LOGIC, 2009, 74 (03) : 929 - 938
  • [6] Variation on the zero-one law
    Blass, A
    Gurevich, Y
    Kreinovich, V
    Longpre, L
    [J]. INFORMATION PROCESSING LETTERS, 1998, 67 (01) : 29 - 30
  • [7] ON RUSSOS APPROXIMATE ZERO-ONE LAW
    TALAGRAND, M
    [J]. ANNALS OF PROBABILITY, 1994, 22 (03): : 1576 - 1587
  • [8] ZERO-ONE LAW FOR STATIONARY SEQUENCES
    TANNY, D
    [J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1974, 30 (02): : 139 - 148
  • [9] ZERO-ONE LAW FOR BOOLEAN ALGEBRAS
    MACZYNSKI, MJ
    PATHAK, PK
    [J]. BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1978, 26 (02): : 175 - 179
  • [10] Zero-one k-law
    Zhukovskii, Maksim
    [J]. DISCRETE MATHEMATICS, 2012, 312 (10) : 1670 - 1688