Edge-based graph grammar: theory and support system

Xiaoqin Zeng, Yufeng Liu, Zhan Shi, Yingfeng Wang, Yang Zou, Jun Kong, Kang Zhang
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引用次数: 6

Abstract

As a useful formal tool, graph grammar provides a rigorous but intuitive way for defining graphical languages and analyzing graphs. This paper presents a new context-sensitive graph grammar formalism called Edge-based Graph Grammar or EGG, in which a new methodology is proposed to tackle issues, such as the embedding problem, the membership problem and the parsing algorithm. It presents the formal definitions of EGG and its language with a proof of its decidability. Then, a new parsing algorithm with an analyses of its computational complexity is given for checking the structural correctness or validity of a given host graph. The paper finally describes the development of an EGG support system with friendly GUI. Keywords-component; graph grammar; graphical language; embedding problem; parsing; production rule
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基于边缘的图语法:理论与支持系统
作为一种有用的形式化工具,图语法为定义图形语言和分析图提供了一种严格但直观的方法。本文提出了一种新的上下文敏感的图语法形式,即基于边缘的图语法(EGG),它提出了一种新的方法来解决嵌入问题、隶属关系问题和解析算法等问题。给出了EGG及其语言的形式化定义,并证明了其可判定性。然后,给出了一种新的分析算法,并分析了其计算复杂度,用于检查给定主机图的结构正确性或有效性。本文最后介绍了一个具有友好GUI的EGG支持系统的开发。Keywords-component;图语法;图形语言;嵌入问题;解析;产生式规则
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