The document summarizes three contributions to the analysis of model queries and transformations:
C1) Lightweight static analysis techniques like type checking, type inference, and constraint graph analysis;
C2) Defining and maintaining incremental graphical views of models using annotated graph queries;
C3) Slicing techniques for model queries and transformations to help debug programs. The techniques were implemented in the VIATRA model transformation framework and influenced related tools. Evaluations showed the techniques scale to large models and complex transformations.