An Enhancement to Graph Grammar for the Specification of Edge Semantics

Yufeng Liu, Fan Yang
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Abstract

Graph grammar is a two-dimensional formal method, providing an intuitive yet formal tool for graphical models. However, existing graph grammar formalisms either ignore the specification of edge semantics or lack the parsing ability. To handle these problems, this paper improves the edge processing of graph grammar by introducing curvatures and bend-directions into the formalism of graph grammar. With an entire update of the theoretical framework and grammatical operations, the expressive power and application scope of graph grammar are both increased. Moreover, an example on simple pattern design is given to illustrate the application of the improved formalism.
基于边缘语义规范的图语法改进
图语法是一种二维形式化方法,为图形模型提供了一种直观而形式化的工具。然而,现有的图语法形式要么忽略了边缘语义的规范,要么缺乏解析能力。为了解决这些问题,本文通过在图语法的形式化中引入曲率和弯曲方向来改进图语法的边缘处理。随着理论框架和语法操作的全面更新,图语法的表达能力和应用范围都得到了提高。并以简单模式设计为例说明了改进的形式主义的应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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