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A Flexible Categorial Formalisation of Term Graphs as Directed Hypergraphs

机译:术语图作为有向超图的灵活分类形式化

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Term graphs are the concept at the core of important implementation techniques for functional programming languages, and are also used as internal data structures in many other symbolic computation setting, including in code generation back-ends for example in compilers. To our knowledge, there are no formally verified term graph manipulation systems so far; we present an approach to formalising term graphs, as a relatively complex example of graph structures, in the dependently-typed programming language and proof system Agda in a way that both the mathematical theory and useful executable implementations can be obtained as instances of the same abstract definition.
机译:术语图是功能性编程语言的重要实现技术的核心概念,并且还用作许多其他符号计算设置中的内部数据结构,包括例如编译器中的代码生成后端。据我们所知,到目前为止,还没有形式验证过的术语图操纵系统。我们提出了一种形式化形式的术语图的方法,它是依赖类型的编程语言和证明系统Agda中作为图结构的相对复杂示例,其方式是可以将数学理论和有用的可执行实现都作为同一抽象的实例获得定义。

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