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A pedagogical approach to database design via Karnaugh maps

机译:通过卡诺图进行数据库设计的教学方法

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The study of normalization is a fundamental topic that is covered in most introductory database courses taught by departments of Computer/Electrical Engineering and Computer Science. The typical pedagogical approach to normalization presents several classical algorithms, which are based upon the application of axioms and lemmas for manipulating functional dependencies, that can be used in the process of relational decomposition and synthesis. In this paper, an augmentation to the traditional pedagogical strategy is presented for introducing students to normalization and relational synthesis concepts. This augmentation transforms semantic concepts into Boolean form that can be easily manipulated with the Karnaugh map. The Karnaugh map provides an especially useful method for illustrating the process of determining the candidate keys of a relation, as well as simplifying the mechanics of manipulating functional dependencies that are required for database decomposition and synthesis. Moreover, students find the Karnaugh-map-based techniques faster for most calculations, as well as easier to apply than conventional algorithms, since most engineering students are more familiar with combinatorial Boolean algebra than the algebra of functional relations.
机译:归一化研究是计算机/电气工程和计算机科学系教授的大多数入门数据库课程所涵盖的基本主题。典型的标准化教学方法介绍了几种经典算法,这些算法基于公理和引理在处理功能依赖项方面的应用,可用于关系分解和综合过程中。在本文中,对传统的教学策略进行了扩充,以向学生介绍标准化和关系综合概念。这种扩充将语义概念转换为布尔形式,可以使用卡诺图轻松地对其进行操作。卡诺图提供了一种特别有用的方法,用于说明确定关系的候选键的过程,以及简化处理数据库分解和综合所需的功能依赖关系的机制。此外,由于大多数工程专业的学生比组合关系的代数更熟悉组合布尔代数,因此与大多数传统算法相比,他们发现基于Karnaugh-map的技术可更快地进行大多数计算。

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