图文法综述

形式语言理论对计算机科学的发展起了重大的作用,作为对传统字符文法扩展的图文法的形式化研究,其重要意义是不言而喻的.本文在概述图文法的产生、发展和现状的基础上,着重介绍了从一维字符文法扩展到二维图文法所出现的新问题,以及在形式化处理上引出的新方法,其中最主要的是嵌入问题的解决、文法类型的划分和成员问题的判定.文中以目前较为流行的图文法为例,特别是一些典型的上下文无关和上下文相关的图文法,对上述的问题进行了深入的讨论,指出了现有方法中的一些不足之处,并展望了图文法今后值得研究的问题和方向.     

上下文相关图文法的表达能力分析

上下文相关图文法是描述可视化语言的形式化工具.为了直观地刻画并高效地分析可视化语言,已有图文法形式框架均着重于文法形式和分析算法的研究,而忽略了对它们之间表达能力的分析.在对已有上下文相关图文法形式框架的关键特征进行分析和归纳的基础上,通过构造不同形式框架之间的转换算法,揭示并形式化证明了它们表达能力之间的关系.而且,转换算法在不同形式框架之间建立了关联,使图文法的应用不必再局限于一个框架,而是可以选择不同框架分别进行图的描述和分析,从而提高了上下文相关图文法的易用性.     

On the Expressiveness of Context-Sensitive Graph Grammars

上下文相关图文法是描述可视化语言的形式化工具.为了直观地刻画并高效地分析可视化语言,已有图文法形式框架均着重于文法形式和分析算法的研究,而忽略了对它们之间表达能力的分析.在对已有上下文相关图文法形式框架的关键特征进行分析和归纳的基础上,通过构造不同形式框架之间的转换算法,揭示并形式化证明了它们表达能力之间的关系.而且,转换算法在不同形式框架之间建立了关联,使图文法的应用不必再局限于一个框架,而是可以选择不同框架分别进行图的描述和分析,从而提高了上下文相关图文法的易用性.     

基于图文法制导的ER 图自动绘制技术

逻辑模型可视化对于软件开发和技术研究具有重要的意义．提出了一种基于图文法制导ER图自动绘制技术,并对图文法进行扩展命名为ER图文法,它克服了在原有建模工具中绘制ER图图幅数量有限和不易更改的缺点,并从语义上对实体关系及ER图绘制规则进行描述,提出ER图自动布局和布线算法,实现ER图的自动绘制．     

数据流分析的图文法途径

数据流分析是计算机科学的重要研究领域，本文通过分析可归纳流图和半结构图文法的特点，提出了使用半结构流图文法进行数据流分析的方法。     

vCGG:一种基于虚结点的空间图文法形式框架

作为一种二维的形式化方法,图文法为可视化语言提供了直观而规范的描述手段.然而,大多数图文法形式框架在空间语义处理能力方面有所不足,影响了图文法的表达能力及其实际应用范围.针对现存的问题,构建了一种新型空间图文法形式框架vCGG （virtual-node based coordinate graph grammar）.区别于其他空间图文法,vCGG在产生式中通过定义虚结点的概念描述产生式与主图之间的语法结构与空间语义关系,在保留抽象能力的同时,提高了其空间语义配置性能.通过与几种典型空间图文法框架比较,vCGG形式框架在直观性、规范性、表达能力以及分析效率方面均有着较好的表现.     

可视化语言技术在软件开发中的应用

可视化语言技术比一维文本语言在描述软件组成方面具有优越性.由于图表和图形概念在系统建模中的广泛使用,可视化语言可以应用于需求分析、设计、测试和维护等软件开发的各个阶段.除了具有直观易见的特点之外,图文法在计算机上的精确建模和验证能力,为设计可视化语言提供了一个坚实的理论基础.讨论了可视化语言的形式理论基础,回顾了相关的可视化图形编程环境.特别提出了一种空间图文法,并且用该图文法定义了统一建模语言的行为语义.基于空间图文法,开发了一种基于模式驱动的框架,以帮助软件架构与设计.     

案例教学法在《编译原理》课程中的研究

本文将案例法引入了《编译原理》课程的教学,发挥案例法的优势,以二义文法为主线,探讨了二义文法和递归文法、LL（1）文法、LR（0）文法和SLR（1）文法的关系,找出了一些判定文法有无二义性的充分条件,同时研究了解决二义性的方法,加深了学生对二义文法的理解。     

形式语言与自动机中关于ε的一些问题

讨论了形式语言与自动机理论中关于空串ε的一些问题。分析了ε产生式对文法和语言分类的影响;从文法和有限状态自动机的角度讨论了开始符号S和开始状态q0的作用;提出了语言增加或减少ε句子的简单方法;研究了ε-NFA的ε状态转换函数的本质;提出了ε-NFA转换为NFA的新方法,即先将ε-NFA转换为文法形式,消除ε产生式和单产生式后得到正则文法,再将正则文法转换为NFA。并用实际例子进行了验证。     

新型属性图文法反应式规约验证方法

属性图文法广泛应用在软件设计阶段建模和分析阶段。命题式时序逻辑（propositional temporal logic）无法直接表达建模实体包含随时间演化的关联属性反应式规约,提出一种可支持通用图文法转换系统中相应规约的验证方法,通过引入标记节点及属性,将包含相应关联属性的规约公式等价转换为命题式时序逻辑,从而可以间接支持该类型规约的验证。以流行的对象式属性图文法模型检测工具GROOVE为平台,结合启发案例,验证了所提出方法的有效性。     

A class of linearly parsable graph grammars

Summary Specializing an existing graph grammar model we look in detail at node context-free graph grammars. With a slight generalization the parse trees for context-free Chomsky grammars can be used to describe derivations of these graph grammars.As shown already in former works the precedence graph grammars are defined as a subclass of context-free graph grammars by certain algebraic restrictions on the form of the rules. Then we can prove that every precedence grammar is unambiguous and additionally the reduction process in such a grammar read as replacement system is finite.The most important aim in defining the predence relations was a simple parsing method. This is realized because it is shown that the syntactic analysis for precedence graph grammars can be done in a time which linearly depends on the size of the input graph.The whole method has been implemented and a documentation is available.     

String and graph grammar characterizations of bounded regular languages

Two grammatical characterizations of the bounded regular languages are presented: one in terms of graph grammars, the other using string grammars. First it is shown that a class of state graphs recognizing the bounded regular languages can be generated by a particular second-order contextfree graph grammar. Next we call uniquely recursive a right-linear (string) grammar having at most one right-recursive production for each of its nonterminals. It is then established that the class of languages generated by uniquely recursive, sequential right-linear grammars is exactly the bounded regular languages. Some comments on the relationship between string and graph grammars are made.     

Graph grammars with neighbourhood-controlled embedding

A central feature that distinguishes graph grammars (we consider grammars generating sets of node-labelled undirected graphs only) from string grammars is that in the former one has to provide a mechanism by which a daughter graph (the right-hand side of a production) can be embedded in the rest of the mother graph, while in the latter this embedding is provided automatically by the structure that all strings possess (left-to-right orientation). In this paper we consider a possible classification of embedding mechanisms for (node-rewriting) graph grammars. This classification originates from the basic ideas of [9]. On the one hand it allows one to fit a number of existing notions of a graph grammar into a common framework and on the other hand it points out new “natural” possibilities for defining the embedding mechanism in a graph grammar. The relationship between the graph-language generating power of graph grammars using various embedding mechanisms is established.     

On the generative power of sequential and parallel programmed graph grammars

Programmed graph grammars are formally introduced and their generative power is investigated. Programmed graph grammars differ from other approaches to graph grammars in the so-called control diagram which controls the application order of productions. Restricting the form of the productions of a programmed graph grammar we get several classes of graph languages. These are compared mutually as well as with the hierarchy introduced by Nagl [18]. For unrestricted and monotone productions corresponding classes of graph languages coincide, while the class of context free programmed graph languages is properly contained in the class of context free graph languages in the sense of [18].     

Graph grammars for evolutionary 3D design

A new interactive evolutionary 3D design system is presented. The representation is based on graph grammars, a fascinating and powerful formalism in which nodes and edges are iteratively rewritten by rules analogous to those of context-free grammars and shape grammars. The nodes of the resulting derived graph are labelled with Euclidean coordinates: therefore the graph fully represents a 3D beam design. Results from user-guided runs are presented, demonstrating the flexibility of the representation. Comparison with results using an alternative graph representation demonstrates that the graph grammar search space is more rich in organised designs. A set of numerical features are defined over designs. They are shown to be effective in distinguishing between the designs produced by the two representations, and between designs labelled by users as good or bad. The features allow the definition of a non-interactive fitness function in terms of proximity to target feature vectors. In non-interactive experiments with this fitness function, the graph grammar representation out-performs the alternative graph representation, and evolution out-performs random search.     

Restrictions, extensions, and variations of NLC grammars

This paper continues the basic research on node-label-controlled graph grammars (NLC grammars). In particular three topics are investigated quite thoroughly: (1) the role of the connection relation in an NLC grammar, (2) “context-freeness” of NLC grammars, and (3) the ability of NLC grammars to generate string languages.     

A grammatical approach to self-organizing robotic systems

In this paper, we define a class of graph grammars that can be used to model and direct concurrent robotic self-assembly and similar self-organizing processes. We give several detailed examples of the formalism and then focus on the problem of synthesizing a grammar so that it generates a given, prespecified assembly. In particular, to generate an acyclic graph we synthesize a binary grammar (rules involve at most two parts), and for a general graph we synthesize a ternary grammar (rules involve at most three parts). In both cases, we characterize the number of concurrent steps required to achieve the assembly. We also show a general result that implies that no binary grammar can generate a unique stable assembly. We conclude the paper with a discussion of how graph grammars can be used to direct the self-assembly of robotic parts.     

A graph grammars based framework for querying graph-like data

The widespread use of graph-based models for representing data collections (e.g. object-oriented data, XML data, etc.) has stimulated the database research community to investigate the problem of defining declarative languages for querying graph-like databases. In this paper, a new framework for querying graph-like data based on graph grammars is proposed. The new paradigm allows us to verify structural properties of graphs and to extract sub-graphs. More specifically, a new form of query (namely graph query) is proposed, consisting in a particular graph grammar which defines a class of graphs to be matched on the graph representing the database. Thus, differently from path queries, the answer of a graph query is not just a set of nodes, but a subgraph, extracted from the input graph, which satisfies the structural properties defined by the graph grammar. Expressiveness and complexity of different forms of graph queries are discussed, and some practical applications are shown.