Efficient Graph Rewriting and Its Implementation

Heiko Dörr (eds.)3540600558, 9783540600558, 0387600558

This book presents two major research results on the fast implementation of graph rewriting systems (GRS). First, it explores the class of so-called UBS-GRS, where the complexity of a rewriting step is linear instead of NP, showing for example that visual programming is possible by UBS graph rewriting. Second, an abstract machine for graph rewriting is defined providing an instruction set sufficient for the execution of GRS.
The basic definitions of GRS in the algorithmic approach are introduced and extended by attribution and control structures to comprise a formalism for an operational specification. The translation of a functional programming language to graph rewriting shows the capabilities of UBS-GRS.

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Table of contents :
Introduction….Pages 1-8
Graph rewriting systems — The basic concepts….Pages 9-33
UBS-Graph rewriting systems — matching subgraphs in constant time….Pages 35-89
Programmed attributed graph rewrite systems — An advanced modelling formalism….Pages 91-121
The abstract machine for graph rewriting — supporting a fast implementation….Pages 123-162
A graphical implementation of functional languages — a case study in UBS-graph rewriting systems….Pages 163-215
Conclusions….Pages 217-221