NPPP
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Supported by the National Natural Science Foundation of China under Grant No.69973013 (国家自然科学基金)

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    摘要:

    主要目的是研究NPPP的关系.引入了一个NP的等价的随机定义.基于此等价定义,定义了另一个随机复杂性类:SUPER-NP.虽然SUPER-NPNP非常接近,但令人吃惊的是发现了PP?SUPER-NP,从而NP?PP?SUPER-NP.考虑到NP=PCP(log,O(1))以及NPSUPER-NP的相似性,也希望能通过证明SUPER-NP?PCP(log2,O(1))来解决PP?PCP(log2,O(1))的猜想.

    Abstract:

    In this paper, the authors mainly intend to clarify the relation between NP and PP . A randomized version of NP is given. Based on this equivalent definition of NP , another randomized complexity class is given: SUPER-NP . Although the SUPER-NP is very close to NP , but it is found surprisingly that PP?SUPER NP and thus NP?PP?SUPER-NP . In light of NP=PCP(log, O(1)) and the closeness of NP and SUPER-NP it is hoped that PP?PCP(log2,O(1)) conjecture can be peoved by showing that SUPER-NP?PCP(log2,O(1)).

    参考文献
    [1] Garey, M.R., Johnson, D.S. Computers and Intractability: A Guide to the Theory of NP-Complete. New York: W.H. Freeman and Company, 1979. 19~39.
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    [3] Oded, Goldreich. Introduction to Complexity Theory. 1999. Available from http://www1.wisdom.weizmann.ac.il/~oded/ or http://theory.lcs.mit/~oded. 73~163.
    [4] Papadimitriou, H. Computational Complexity. Addison-Wesley Publishing Company, 1994. 329~332.
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    [7] Arora, S., Safra, S. Probabilistic checkable proofs: a new characterization of NP. JACM, 1998,45:70~122.
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赵运磊,朱洪,赵一鸣.NPPP.软件学报,2001,12(7):967-970

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  • 收稿日期:2000-10-23
  • 最后修改日期:2001-01-18
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