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Journal ArticleDOI

Neighborhood-uniform NLC grammars

D Janssens, +1 more
- 01 Aug 1986 - 
- Vol. 35, Iss: 2, pp 131-151
TLDR
This paper investigates the basic properties of the class of neighborhood-uniform nodel label controlled (NUNLC) graph grammars and demonstrates that a number of basic properties are decidable for theclass of NUNLC grammar—many of them are undecidable in the whole class of NLC Grammars.
Abstract
This paper investigates the basic properties of the class of neighborhood-uniform nodel label controlled (NUNLC) graph grammars The class of NUNLC grammars is distinguished by requiring a very natural restriction on the connection relations of NLC grammars The restriction implies “Church-Rosser property” of derivations in an NUNLC grammar, which makes the class of NUNLC grammars “technically easier” to investigate A number of combinatorial properties of the languages generated by the class of NUNLC grammars are proved Also, it is demonstrated that a number of basic properties are decidable for the class of NUNLC grammars—many of them are undecidable in the whole class of NLC grammars

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Citations
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Book ChapterDOI

Graph rewriting: an algebraic and logic approach

TL;DR: In this paper, the authors present three mathematical tools that can be used to describe graph-grammars and the sets generated by them and compare the powers of several logical languages.
Journal ArticleDOI

An axiomatic definition of context-free rewriting and its application to NLC graph grammars

TL;DR: The monadic second-order theory of a context-free NLC set of graphs is decidable and deals with abstract objects that can be words, trees, graphs or other combinatorial objects.
Book ChapterDOI

Graph Grammars Based on Node Rewriting: An Introduction to NLC Graph Grammars

TL;DR: An elementary introduction to the notion of an NLC graph grammar is given, and several of its extensions and variations are discussed in a systematic way.
Book ChapterDOI

An Axiomatic Definition of Context-Free Rewriting and its Application to NLC Graph Grammars

TL;DR: An abstract notion of context-free grammar is introduced that deals with abstract objects that can be words, trees, graphs or other combinatorial objects and is applied to NLC graph grammars introduced by Rozenberg and Janssens.
Book ChapterDOI

A representation of graphs by algebraic expressions and its use for graph rewriting systems

TL;DR: A complete axiomatization of the equivalence of graph expressions by equational rules is given and the new definition is equivalent to the classical one using double push-outs.
References
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Book

Syntactic Pattern Recognition: An Introduction

TL;DR: This book provides an introduction to basic concepts and techniques of syntactic pattern recognition and emphasizes fundamental and practical material rather than strictly theoretical topics.
Journal ArticleDOI

On the structure of node-label-controlled graph languages

TL;DR: The main theorem is a result on the combinatorial structure of graph languages generated by NLC grammars; it resembles the pumping theorem for context-free string languages.
Journal ArticleDOI

Restrictions, extensions, and variations of NLC grammars

TL;DR: 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 N LC grammARS to generate string languages.
Journal ArticleDOI

Web grammars and picture description

TL;DR: This paper describes an investigation of the practicality of describing pictures using linguistic structures other than strings-in particular, using labelled directed graphs (“webs”).
Journal ArticleDOI

Decision problems for node label controlled graph grammars

TL;DR: Two basic techniques are presented to show the decidability status of a number of problems concerning node label controlled graph grammars, mainly of graph-theoretic nature.
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