Abstract: Users who care about their data store it in databases, which (at least in principle) guarantee some form of transactional isolation. However, experience shows [Kleppmann 2019, Kingsbury and Patella 2019a] that many databases do not provide the isolation guarantees they claim. With the recent proliferation of new distributed databases, demand has grown for checkers that can, by generating client workloads and injecting faults, produce anomalies that witness a violation of a stated guarantee. An ideal checker would be sound (no false positives), efficient (polynomial in history length and concurrency), effective (finding violations in real databases), general (analyzing many patterns of transactions), and informative (justifying the presence of an anomaly with understandable counterexamples). Sadly, we are aware of no checkers that satisfy these goals.
We present Elle: a novel checker which infers an Adya-style dependency graph between client-observed transactions. It does so by carefully selecting database objects and operations when generating histories, so as to ensure that the results of database reads reveal information about their version history. Elle can detect every anomaly in Adya et al's formalism [Adya et al. 2000] (except for predicates), discriminate between them, and provide concise explanations of each. This paper makes the following contributions: we present Elle, demonstrate its soundness, measure its efficiency against the current state of the art, and give evidence of its effectiveness via a case study of four real databases.
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快速傅里叶变换
K. R. Rao、D. N. Kim、J. J. Hwang / 万帅、杨付正 / 机械工业出版社 / 2013-3 / 98.00元
《国际信息工程先进技术译丛·快速傅里叶变换:算法与应用》深入浅出地阐述了快速傅里叶变换(FFT)的原理,系统地总结了各类FFT算法,并广泛精辟地介绍了FFT在视频和音频信号处理中的各种应用。《国际信息工程先进技术译丛·快速傅里叶变换:算法与应用》在阐述了离散傅里叶变换(DFT)的原理和性质之后,详细讨论了时域抽取(DIT)和频域抽取(DIF)的各类快速算法。论述了近似计算DFT的整数FFT、二维及......一起来看看 《快速傅里叶变换》 这本书的介绍吧!
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