实时分支程序的指数下界

Q4 Mathematics
Stanislav ák
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引用次数: 8

摘要

分支程序是顺序计算的一般模型。它们的计算特征之一是它们有可能(反复地)质疑来自每个输入位的信息。实时分支程序在计算长度为n的输入时最多产生n个问题。限制“实时”允许找到一种简单的语言,它需要内存(=状态空间)的下界为2√2n/8。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An exponential lower bound for real-time branching programs

Branching programs are a general model of sequential computation. One of their computational features is their possibility to question (repeatedly) the information from each input bit. Real-time branching programs make at most n questions when computing on an input of length n. The restriction “real-time” allows to find a simple language which requires the lower bound 2√2n/8 on memory (= the state space).

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来源期刊
信息与控制
信息与控制 Mathematics-Control and Optimization
CiteScore
1.50
自引率
0.00%
发文量
4623
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