A Software Product Line is a set of software products that share a number of core properties but also differ in others. Differences and commonalities between products are typically described in terms of features. A Feature Diagram is a hierarchically structured model that defines the features and their dependencies, while a Featured Transition System is used concisely to model behaviour of each product. In this context, formal modeling and verification are critical for managing the inherent complexity of systems with a high degree of variability. This work presents a formal specification of Software Product Line models based on rewriting logic. We propose an automatic framework for translating featured transition system and feature diagram into an equivalent Maude specification. It is based on meta-modelling and graph transformation. The power of this translation resides in the fact that the proposed formalization preserves source models semantics. An illustrative example is presented. The approach allows various verification and analysis activities. The obtained results are significant.

The use of UML Activity Diagrams for modeling global dynamic behaviors of systems is very widespread. UML diagrams support developers by means of visual conceptual illustrations. However, the lack of firm semantics for the UML modeling notations makes the detection of behavioral inconsistencies difficult in the initial phases of development. The use of formal methods makes such error detection possible but the learning cost is high. Integrating UML with formal notation is a promising approach that makes UML more precise and allows rigorous analysis. In this paper, we present an approach that integrates UML Activity Diagrams with Rewriting Logic language Maude in order to benefit from the strengths of both approaches. The result is an automated approach and a tool environment that transforms global dynamic behaviors of systems expressed using UML models into their equivalent Maude specifications for analysis purposes. The approach is based on Graph Transformation and the Meta-Modeling tool AToM 3 is used. The approach is illustrated through an example.

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