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arXiv cs/0505002cs.DBcs.CC
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流数据和外部存储器数据查询处理的紧下限

Tight Lower Bounds for Query Processing on Streaming and External Memory Data

Martin Grohe, Christoph Koch, Nicole Schweikardt

摘要:

我们研究了一个用于外部存储和流处理的干净机器模型。我们表明,外部数据的扫描次数会导致严格的层次结构(只要工作空间足够小,例如,在输入的大小上的多对数)。我们还表明,无论是连接或排序是可行的,如果产品的数量$r(n)$扫描的外部存储器和大小$s(n)$的内部存储器缓冲区是足够小,例如,尺寸为$o(\sqrt[5]{n})$。我们还建立了严格的边界的复杂性的评价和过滤。

英文摘要:

We study a clean machine model for external memory and stream processing. We show that the number of scans of the external data induces a strict hierarchy (as long as work space is sufficiently small, e.g., polylogarithmic in the size of the input). We also show that neither joins nor sorting are feasible if the product of the number $r(n)$ of scans of the external memory and the size $s(n)$ of the internal memory buffers is sufficiently small, e.g., of size $o(\sqrt[5]{n})$. We also establish tight bounds for the complexity of XPath evaluation and filtering.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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