Journal ArticleDOI
Neighborhood-uniform NLC grammars
D Janssens,Grzegorz Rozenberg +1 more
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 grammarsread more
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
Dirk Janssens,Grzegorz Rozenberg +1 more
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
Dirk Janssens,Grzegorz Rozenberg +1 more
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
Dirk Janssens,Grzegorz Rozenberg +1 more
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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Graph theoretic closure properties of the family of boundary NLC graph languages
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