Graph transformation has recently become more and more popular as a general, rule-based visual specification paradigm to formally capture (i) requirements or behavior of user models (on the model-level), and (ii) the operational semantics of modeling languages (on the meta-level) as demonstrated by benchmark applications around the Unified Modeling Language (UML). In the paper, we present a meta-level transformation technique to enable model checking-based symbolic verification for arbitrary well-formed models and modeling languages (with formal semantics defined by graph transformation systems) by projecting them into state transitions systems that serve as the underlying mathematical specification formalism of various model checker tools. The feasibility of our approach is demonstrated by modeling and analyzing a well-known verification benchmark both on the model and metamodel level.

Adhesive high-level replacement (HLR) categories and systems are introduced as a new categorical framework for graph transformation in a broad sense, which combines the well-known concept of HLR systems with the new concept of adhesive categories introduced by Lack and Sobociński. In this paper we show that most of the HLR properties, which had been introduced ad hoc to generalize some basic results from the category of graphs to high-level structures, are valid already in adhesive HLR categories. As a main new result in a categorical framework we show the Critical Pair Lemma for local confluence of transformations. Moreover we present a new version of embeddings and extensions for transformations in our framework of adhesive HLR systems.

Model Transformation has become central to most software engineering activities. It refers to the process of modifying a (usually graphical) model for the purpose of analysis (by its transformation to some other domain), optimization, evolution, migration or even code generation. In this work, we show termination criteria for model transformation based on graph transformation. This framework offers visual and formal techniques based on rules, in such a way that model transformations can be subject to analysis. Previous results on graph transformation are extended by proving the termination of a transformation if the rules applied meet certain criteria. We show the suitability of the approach by an example in which we translate a simplified version of Statecharts into Petri nets for functional correctness analysis.

A taxonomy of model transformations was introduced in [16]. Among others, such a taxonomy can help developers in deciding which language, forma lism, tool or mechanism is best suited to carry out a particular model transformation activity. In this paper we apply the taxonomy to the technique of graph transformation, and we exemplify it by referring to four representative graph transformation tools. As a byproduct of our analysis, we discuss how well each of the considered tools carry out the activity of model transformation.

Model transformations are increasingly recognised as being of significant importance to many areas of software development and integration. Recent attention on model transformations has particularly focused on the OMG's Queries / Views / Transformations (QVT) Request for Proposals (RFP). In this paper I motivate the need for dedicated approaches to model transformations, particularly for the data involved in tool integration, outline the challenges involved, and then present a number of technologies and techniques which allow the construction of flexible, powerful and practical model transformations.

Abstract. Model checking is increasingly popular for hardware and, more recently, software verification. In this paper we describe two different approaches to extend the benefits of model checking to systems whose behavior is specified by graph transformation systems. One approach is to encode the graphs into the fixed state vectors and the transformation rules into guarded commands that modify these state vectors appropriately to enjoy all the benefits of the years of experience incorporated in existing model checking tools. The other approach is to simulate the graph production rules directly and build the state space directly from the resultant graphs and derivations. This avoids the preprocessing phase, and makes additional abstraction techniques available to handle symmetries and dynamic allocation. In this paper we compare these approaches on the basis of three case studies elaborated in both of them, and we evaluate the results. Our conclusion is that the first approach outperforms the second if the dynamic and/or symmetric nature of the problem under analysis is limited, while the second shows its superiority for inherently dynamic and symmetric problems.

Abstract. There is a growing need to explicitly represent the behavioral semantics of Modeling Languages in a precise way, something especially important in industrial environments in which simulation and verification are critical issues. Graph transformation provides one way to specify the semantics of Domain Specific Visual Languages (DSVLs), with the advantage of being intuitive and easy to use for the system designer. Even though its theory has been extensively developed during the last 30 years, it has some limitations concerning specific analysis capabilities. On the contrary, Maude is a rewriting logic-based language with very good formal analysis support, but which requires specialized knowledge. In this paper we show how a mapping between graph transformation-based specifications of DSVL semantics and Maude is possible. This allows performing simulation, reachability and model-checking analysis on the models, using the tools and techniques that Maude provides. 1

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Abstract. Architecture-based approaches have been promoted as a means of controlling the complexity of system construction and evolution, in particular for providing systems with the agility required to operate in turbulent environments and to adapt very quickly to changes in the enterprise world. Recent technological advances in communication and distribution have made mobility an additional factor of complexity, one for which current architectural concepts and techniques can be hardly used. The AGILE project is developing an architectural approach in which mobility aspects can be modelled explicitly and mapped on the distribution and communication topology made available at physical levels. The whole approach is developed over a uniform mathematical framework based on graph-oriented techniques that support sound methodological principles, formal analysis, and refinement. This paper describes the AGILE project and some of the results gained during the first project year. 1

Abstract. We propose a faithful encoding of Java programs (written in a suitable fragment of the language) to Graph Transformation Systems. Every program is translated to a set of rules including some basic rules, common to all programs and providing the operational semantics of Java (data and control) operators, and the program specific rules, namely one rule for each method or constructor declared in the program. Besides sketching some potential applications of the proposed translation, we discuss some desing choices that ensure its correctness, and we report on how do we intend to extend it in order to handle several other features of the Java language. 1