若干函数类的多项式时间层次(II)

Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1994-08-20 DOI:10.1360/YA1994-37-8-1018

Zhang Li-ang

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引用次数: 0

摘要

在函数上引入了四个多项式时间层次结构，它们被认为是Valiant的计数函数类#P、Kobler等人引入的类Span-P、Krentel的优化函数类Opt-P和F2p的推广。结果表明，我们的优化函数的多项式层次与Krentel定义的相同。研究了各个层次内部和层次之间的关系。

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Polynomial-time Hierarchies on Some Classes of Functions (II)

Four polynomial-time hierarchies on functions are introduced, which are considered to be generalizations of Valiant's counting function class #P, class Span-P introduced by Kobler et al., Krentel's optimization function class Opt-P, and F2p. It is shown that our polynomial hierarchies of optimization functions are the same as that defined by Krentel. The relationships within every hierarchy and between them are studied.

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Science in China Series A-Mathematics, Physics, Astronomy & Technological Science

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