It is generally admitted that exert designers work with design entities - specifications and design solutions - described at different levels of abstraction, detail or generality and can switch from one representstion level to another in a very effective and flexible way. Moreover, they often use graphic representations such as sketches and diagrams to externalize their ideas about the designed artefact during the course of a design process. The paper proposes a general framework for multilevel representation of design products gased on the use of plex structures. In this frame we illustrare a set of graph transmutations that can be used to generate or modify design solution that the results would provide insights into what sort of computational tool should support the cognitive need for multilevel reasoning and how. It is argued that by providing ICAD systems a stronger cognitive foundation we can guarantee to them a greater success among end users.
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