RANDOMNESS IN ARITHMETIC

被引：25
|
作者：
CHAITIN, GJ
机构：
来源：
SCIENTIFIC AMERICAN | 1988年 / 259卷 / 01期
关键词：
D O I：
10.1038/scientificamerican0788-80
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
引用
收藏
页码：80 / 85
页数：6
相关论文
共 50 条
  • [1] Randomness below complete theories of arithmetic
    Barmpalias, George
    Wang, Wei
    [J]. INFORMATION AND COMPUTATION, 2023, 290
  • [2] Hardness vs Randomness for Bounded Depth Arithmetic Circuits
    Chou, Chi-Ning
    Kumar, Mrinal
    Solomon, Noam
    [J]. 33RD COMPUTATIONAL COMPLEXITY CONFERENCE (CCC 2018), 2018, 102
  • [3] Π10 Classes, Peano Arithmetic, Randomness, and Computable Domination
    Diannondstone, David E.
    Dzhafarov, Damir D.
    Soare, Robert I.
    [J]. NOTRE DAME JOURNAL OF FORMAL LOGIC, 2010, 51 (01) : 127 - 159
  • [4] RANDOMNESS IN ARITHMETIC AND THE DECLINE AND FALL OF REDUCTIONISM IN PURE MATHEMATICS
    CHAITIN, GJ
    [J]. CHAOS SOLITONS & FRACTALS, 1995, 5 (02) : 143 - 159
  • [5] Hardness-Randomness Tradeoffs for Bounded Depth Arithmetic Circuits
    Dvir, Zeev
    Shpilka, Amir
    Yehudayoff, Amir
    [J]. STOC'08: PROCEEDINGS OF THE 2008 ACM INTERNATIONAL SYMPOSIUM ON THEORY OF COMPUTING, 2008, : 741 - +
  • [6] HARDNESS-RANDOMNESS TRADEOFFS FOR BOUNDED DEPTH ARITHMETIC CIRCUITS
    Dvir, Zeev
    Shpilka, Amir
    Yehudayoff, Amir
    [J]. SIAM JOURNAL ON COMPUTING, 2009, 39 (04) : 1279 - 1293
  • [7] Pathwise-randomness and models of second-order arithmetic
    Barmpalias, George
    Wang, Wei
    [J]. INFORMATION AND COMPUTATION, 2024, 299
  • [8] The variable-interval arithmetic coding using asymptotic deterministic randomness for data compression and encryption
    Deng, Aidong
    Tang, Jianeng
    Zhao, Li
    Zou, Cairong
    [J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2012, 82 (10) : 1545 - 1555
  • [9] Towards a tight hardness-randomness connection between permanent and arithmetic circuit identity testing
    Jansen, Maurice
    [J]. INFORMATION PROCESSING LETTERS, 2012, 112 (24) : 969 - 975
  • [10] Randomness? What Randomness?
    Klaas Landsman
    [J]. Foundations of Physics, 2020, 50 : 61 - 104
12345