Graphical structures (like graphs, diagrams, visual sentences and others) are very useful to describe complex structures and systems. These structures are often augmented by formalisms which add a further dimension to the static description allowing for the modeling of the evolution of systems via any kind of transformation of such graphical structures. Graph transformation has been widely used for modeling. Graphs are well suited to describe the underlying structures of models. They provide a good method to carry out the analysis and verification activities and using the AGG toolset for designing them. A major goal of this paper is the ability to determine the correctness behavior and formal semantics of UML2.0 activity diagrams by Graph Transformation Systems.