Class Analysis of Object-Oriented Programs through Abstract Interpretation

We use abstract interpretation to define a uniform formalism for presenting and comparing class analyses for object-oriented languages. We consider three domains for class analysis derived from three techniques present in the literature, viz., rapid type analysis, a simple dataflow analysis and constraint-based 0-CFA analysis. We obtain three static analyses which are provably correct and whose abstract operations are provably optimal. Moreover, we prove that our formalisation of the 0-CFA analysis is more precise than that of the dataflow analysis.