Abdoulaye Gamatié, Vlad Rusu, Éric Rutten. Operational Semantics of the Marte Repetitive Structure Modeling Concepts for Data-Parallel Applications Design. In Ninth International Symposium on Parallel and Distributed Computing, ISPDC 2010, Istanbul, Turkey, July 7-9, 2010. pages 25-32, IEEE Computer Society, 2010. [doi]
This paper presents an operational semantics of the repetitive model of computation, which is the basis for the repetitive structure modeling (RSM) package defined in the standard UML Marte profile. It also deals with the semantics of an RSM extension for control-oriented design. The goal of this semantics is to serve as a formal support for i) reasoning about the behavioral properties of models specified in Marte with RSM, and ii) defining correct-by-construction model transformations for the production of executable code in a model-driven engineering framework.
Available at http://hal.inria.fr/docs/00/52/27/87/PDF/gamatie_ispdc10.pdf