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Constant Complements, Reversibility and Universal View Updates

机译:不断补充,可逆性和通用视图更新

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The algebraic specification of information systems (including databases) has been advanced by the introduction of category theoretic sketches and in particular by the authors' Sketch Data Model (SkDM). The SkDM led to a new treatment of view updating using universal properties already studied in category theory. We call the new treatment succinctly "universal updating". This paper outlines the theory of universal updating and studies the relationships between it and recent theoretical results of Hegner and Lechtenborger which in turn studied the classical" constant complement" approach to view updates. The main results demonstrate that constant complement updates are universal, that on the other hand there are sometimes universal updates even in the absence of constant complements, and that in the SkDM constant complement updates are reversible. We show further that there may be universal updates which are reversible even for views which have no complement. In short, the universal updates provide an attractive option including reversibility, even when constant complements are not available. The paper is predominantly theoretical studying different algebraic approaches to information system software but it also has important practical implications since it shows that universal updates have important properties in common with classical updates but they may be available even when classical approaches fail.
机译:通过引入类别理论草图,特别是作者的草图数据模型(SkDM),信息系统(包括数据库)的代数规范得到了提高。 SkDM导致了一种使用类别理论中已经研究过的通用属性来进行视图更新的新方法。我们将新处理简称为“通用更新”。本文概述了普遍更新的理论,并研究了它与Hegner和Lechtenborger的最新理论结果之间的关系,后者随后研究了经典的“常数补码”方法来查看更新。主要结果表明,恒定补码更新是通用的,另一方面,即使在没有恒定补码的情况下,有时也会有通用更新,并且在SkDM中,恒定补码的更新是可逆的。我们进一步表明,即使对于没有补充的视图,也可能存在可逆的通用更新。简而言之,即使没有恒定补码,通用更新也提供了一个有吸引力的选项,包括可逆性。本文主要是研究信息系统软件的不同代数方法的理论,但它也具有重要的实际意义,因为它表明通用更新具有与经典更新相同的重要属性,但是即使经典方法失败了,它们也可能可用。

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