Notions of dependency satisfaction

M. Graham, A. Mendelzon
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Abstract

Two notions of dependency satisfaction, consistency and completeness, are introduced. Consistency is the natural generalization of weak satisfaction and seems appropriate when only equality-generating dependencies are given, but disagrees with the standard notion in the presence of tuple-generating dependencies. Completeness is based on the intuitive semantics of tuple-generating dependencies but appears unnatural for equality-generating dependencies. It is argued that neither approach is the correct one, but rather that they correspond to different policies on constraint enforcement, and each one is appropriate in different circumstances. Consistency and completeness of a state are characterized in terms of the tableau associated with the state and in terms of logical properties of a set of first-order sentences associated with the state. A close relation between the problems of testing for consistency and completeness and of testing implication of dependencies is established. The possibility of formalizing dependency satisfaction without using a universal relation scheme is examined.
依赖性满足的概念
引入了依赖性满足的两个概念:一致性和完备性。一致性是弱满足的自然泛化,在只给出生成相等的依赖项时似乎是合适的,但在存在生成元组的依赖项时则不符合标准概念。完整性基于生成元组的依赖项的直观语义,但对于生成相等的依赖项则显得不自然。本文认为,这两种方法都不是正确的,而是对应于不同的约束执行政策,每种方法都适用于不同的情况。状态的一致性和完整性是根据与状态相关的表和一组与状态相关的一阶句子的逻辑属性来表征的。建立了一致性和完备性测试问题与依赖项隐含测试问题之间的密切关系。研究了形式化依赖满足而不使用通用关系方案的可能性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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