For rule validation there are no second and higher order refinement heuristics yet. This paper presents an example for second order refinement heuristics and introduces generic higher order refinement heuristics. It is proposed that rule refinement should be performed case-based, i.e. the whole spectrum from first order to higher order refinement heuristics can be processed instead of first order ones only. This approach extends the classical SEEK2 framework. Moreover, the generalization - specialization dichotomy is extended by defining context refinement as the third refinement class. It is shown that the system SEEK2 registers context refinement problems inadequate and that first order heuristics are suboptimal.