A parametric segmentation functor for fully automatic and scalable array content analysis

Abstract

We introduce FunArray, a parametric segmentation abstract domain functor for the fully automatic and scalable analysis of array content properties. The functor enables a natural, painless and efficient lifting of existing abstract domains for scalar variables to the analysis of uniform compound data-structures such as arrays and collections. The analysis automatically and semantically divides arrays into consecutive non-overlapping possibly empty segments. Segments are delimited by sets of bound expressions and abstracted uniformly. All symbolic expressions appearing in a bound set are equal in the concrete. The FunArray can be naturally combined via reduced product with any existing analysis for scalar variables. The analysis is presented as a general framework parameterized by the choices of bound expressions, segment abstractions and the reduction operator. Once the functor has been instantiated with fixed parameters, the analysis is fully automatic.