Analysing graph transformation systems through constraint handling rules

2010 ◽  
Vol 11 (1) ◽  
pp. 65-109 ◽  
Author(s):  
FRANK RAISER ◽  
THOM FRÜHWIRTH
Keyword(s):  
State Transition ◽  
Graph Transformation ◽  
Constraint Handling ◽  
Transition Systems ◽  
Rule Based ◽  
Program Equivalence ◽  
Transformation Systems ◽  
Graph Transformation Systems ◽  
State Transition Systems

AbstractGraph transformation systems (GTS) and constraint handling rules (CHR) are non-deterministic rule-based state transition systems. CHR is well known for its powerful confluence and program equivalence analyses, for which we provide the basis in this work to apply them to GTS. We give a sound and complete embedding of GTS in CHR, investigate confluence of an embedded GTS and provide a program equivalence analysis for GTS via the embedding. The results confirm the suitability of CHR-based program analyses for other formalisms embedded in CHR.

A NOVEL APPROACH TO VERIFY GRAPH SCHEMA-BASED SOFTWARE SYSTEMS

2009 ◽  
Vol 19 (06) ◽  
pp. 857-870 ◽  
Author(s):  
VAHID RAFE ◽  
ADEL T. RAHMANI
Keyword(s):  
Graph Transformation ◽  
Behavioral Modeling ◽  
Model Transformations ◽  
Software Systems ◽  
Hierarchical Systems ◽  
Input Language ◽  
Novel Approach ◽  
Graph Schema ◽  
Transformation Systems ◽  
Graph Transformation Systems

Graph Grammars have recently become more and more popular as a general formal modeling language. Behavioral modeling of dynamic systems and model to model transformations are a few well-known examples in which graphs have proven their usefulness in software engineering. A special type of graph transformation systems is layered graphs. Layered graphs are a suitable formalism for modeling hierarchical systems. However, most of the research so far concentrated on graph transformation systems as a modeling means, without considering the need for suitable analysis tools. In this paper we concentrate on how to analyze these models. We will describe our approach to show how one can verify the designed graph transformation systems. To verify graph transformation systems we use a novel approach: using Bogor model checker to verify graph transformation systems. The AGG-like graph transformation systems are translated to BIR — the input language of Bogor — and Bogor verifies that model against some properties defined by combining LTL and special purpose graph rules. Supporting schema-based and layered graphs characterize our approach among existing solutions for verification of graph transformation systems.

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