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Constructing Topos from RDF Data

机译:从RDF数据构造Topos

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摘要

A significant component of data analysis is related to study relations between pieces of data -- something that is the very fabric of Resource Description Framework (RDF). In such a context, there is a need for a formal methodology of building structures reflecting logical aspects of RDF data, and reasoning about them. Category theory, a branch of modern mathematics, has been seem by many as an abstract description of relations between entities. Multiple constructs and tools provided by category theory allow for modelling and analyzing any phenomena. A topos is a category with an extra structure representing elements of logic. This structure allows for applying categorical semantics to study logic encoded by topos. The paper proposes a methodology for representing RDF data as a topos. It presents required mechanisms of category theory and shows the process of creating components of topos based on RDF triples. The elements of the logic of a topos in the context of RDF are presented and discussed.
机译:数据分析的重要组成部分与研究数据之间的关系有关,这正是资源描述框架(RDF)的结构。在这种情况下,需要一种正式的方法来构建反映RDF数据逻辑方面的结构并对其进行推理。范畴论是现代数学的一个分支,被许多人视为对实体之间关系的抽象描述。类别理论提供的多种构造和工具允许对任何现象进行建模和分析。主题是具有表示逻辑元素的额外结构的类别。这种结构允许应用分类语义来研究由topos编码的逻辑。本文提出了一种将RDF数据表示为主题的方法。它提出了类别理论所需的机制,并展示了基于RDF三元组创建主题的组件的过程。本文介绍并讨论了RDF中topos逻辑的元素。

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