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DOI:
Journal of Software:1993.4(4):38-43

加速定理与函数分层
徐书润,王永革
(南开大学数学研究所 天津 300071)
SPEED—UP THEOREM AND HIERARCHY OF THE RECURSIVE FUNCTIONS
Xu Shurun,Wang Yongge
()
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Received:December 01, 1990    Revised:May 23, 1991
> 中文摘要: 本文引进一种O(F)—LOOP算子,通过该算子可对一般递归函数集进行分层,且该算子对应于计算复杂性中的加速定理,由此我们得到加速度理的定量描述。
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Abstract:In this paper , we ll introduce a kind of O(F)-LOOP operator , which will lead to a hierarchy of any recursive functions:O(F)=O(F)n. We've proved that this hierarchy, corresponds to the speed-up theorem , i. e. given any r(x)∈O(F)i, there is a language having O(F)i+1 complexity which can be speeded up by r(x), and also there is a r(x) in O(F)i, so that any language having O(F)i complexity cannot be speeded up by r(x) . Through this, we can grasp the soul of Speed-up theorem in a more higher level.
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基金项目:国家自然科学基金 国家自然科学基金
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徐书润,王永革.加速定理与函数分层.软件学报,1993,4(4):38-43

Xu Shurun,Wang Yongge.SPEED—UP THEOREM AND HIERARCHY OF THE RECURSIVE FUNCTIONS.Journal of Software,1993,4(4):38-43