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From Notation to Semantics: There and Back Again

机译:从符号到语义:再来一次

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摘要

Mathematical notation is a structured, open, and ambiguous language. In order to support mathematical notation in MKM applications one must necessarily take into account presentational as well as semantic aspects. The former are required to create a familiar, comfortable, and usable interface to interact with. The latter are necessary in order to process the information meaningfully. In this paper we investigate a framework for dealing with mathematical notation in a meaningful, extensible way, and we show an effective instantiation of its architecture to the field of interactive theorem proving. The framework builds upon well-known concepts and widely-used technologies and it can be easily adopted by other MKM applications.
机译:数学符号是一种结构化,开放且含糊的语言。为了在MKM应用程序中支持数学符号,必须必须考虑表达方式和语义方面。前者需要创建一个熟悉,舒适和可用的界面进行交互。为了有意义地处理信息,后者是必需的。在本文中,我们研究了一种以有意义,可扩展的方式处理数学符号的框架,并向交互式定理证明领域展示了其体系结构的有效实例。该框架以众所周知的概念和广泛使用的技术为基础,可以很容易地被其他MKM应用程序采用。

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