Using Intermediate Representation Systems to Interact with Concept Lattices

Automated layout of line diagrams for concept lattices is a hard problem as it requires not only asthetical but also semantic considerations. While many layout approaches have been proposed to produce line diagrams that are perceived as good for many applications, a general approach that suits all applications has not yet been found. Instead of proposing another specific layout approach we propose a framework that allows modelling layout constraints that are not only applied for automated layout, but also during manipulation of the diagram layout. This approach allows a user of a software program to change the layout without creating diagrams that are considered inappropriate in a particular application. These constraints can be defined in general latticetheoretic terms or by applying additional information extracted from the underlying data.