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PSPACE (例子)
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多项式空间
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完全集 |
PSPACE完全
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补类 |
自身
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等价类 |
AP[1], BPPSPACE[2], IP[3], NPSPACE[4], PPSPACE[5], SAPTIME[5]
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DTIME |
,
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相关 |
PTIME
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真包含于 |
EXPSPACE[6]
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包含于 |
AlmostPSPACE[7], EXPTIME, RG, QPSPACE[8]
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不等 |
P-close, P/log
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子集 |
CH[9], P^PP[10], P^#P[10], QSZK, RG[1]
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真子集 |
NL[6]
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标准问题 |
QSAT
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性质 |
Syntactic
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被…低陷 |
自身
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对…低陷 |
自身
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封闭归约 |
多项式时间
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计算模型 |
交替式图灵机, 图灵机
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外部链接 |
Complexity Zoo
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例子所用参考资料[编辑]
- ^ Chandra, A.K. and Kozen, D.C. and Stockmeyer, L.J., 'Alternation', Journal of the ACM, Volume 28, Issue 1, pp. 114-133, 1981.
- ^ Complexity Zoo, [1], accessed Mars 25, 2009
- ^ Adi Shamir. IP = PSPACE. Journal of the ACM, volume 39, issue 4, p.869–877. October 1992.
- ^ Savitch's theorem
- ^ 5.0 5.1 Christos Papadimitriou. "Games against Nature". "Journal of Computer and System Sciences". 1985, 31.
- ^ 6.0 6.1 空间层次定理
- ^ Definition of Almost-PSPACE. PSPACE ⊆ PSPACE^A for every A.
- ^ Greg Kuperberg, Complexity Zoology: Active Inclusion Diagram, 2006, http://www.math.ucdavis.edu/~greg/zoology/diagram.xml
- ^ K. W. Wagner. The complexity of combinatorial problems with succinct representation. Informatica. 1986, 23: 325–356.
- ^ 10.0 10.1 S. Toda. On the computational power of PP and ⊕P. FOCS 1989. 1989: 514–519.