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Nowadays, UML is considered to be the standardized language for object-oriented modeling and analysis. However, UML cannot be used for automatic analyses and simulation. In this paper, we propose an approach for transforming UML statechart and collaboration diagrams to Colored Petri net models. This transformation aims to bridge the gap between informal notation (UML diagrams) and more formal notation (Colored Petri net models) for analysis purposes. It produces highlystructured, graphical, and rigorously-analyzable models that facilitate early detection of errors such as deadlock and livelock. The approach is based on graph transformations where the input and output of the transformation process are graphs. The meta-modeling tool AToM3 is used. A case study is presented to illustrate our approach.

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Model transformations have proved to be powerful in the development of critical systems. According to their intents, they have been used in many domains such as models refinement, simulation, and domain semantics. The formal methods have been successful in the verification and validation of critical systems, and in particular, in the formalization of UML, BPMN, and AADL. However, little research has been done on verifying the transformation itself. In this paper, we extend our previous work using Isabelle/HOL that transforms UML State Machine Diagrams (SMD) to Colored Petri nets (CPN) models and proves that certain structural properties of this transformation are correct. For example, the structural property: Bfor each final state of a SMD model a corresponding place in CPN model should be generated by the transformation^is described and checked using Isabelle/HOL as invariant property. In the current work, we use Scala as environment of executing Isabelle/HOL specifications and we perform the verified transformation using Scala. Moreover, we demonstrate our approach using another case study of transforming BPMN (Business Process Model and Notation) models into Petri nets models and verify the correctness of certain structural properties of this transformation.

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