Abstraction of Arrays Based on Non Contiguous Partitions

International audienceArray partitioning analyses split arrays into contiguous parti-tions to infer properties of cell sets. Such analyses cannot group together non contiguous cells, even when they have similar properties. In this paper, we propose an abstract domain which utilizes semantic properties to split array cells into groups. Cells with similar properties will be packed into groups and abstracted together. Additionally, groups are not necessarily contiguous. This abstract domain allows to infer complex array invariants in a fully automatic way. Experiments on examples from the Minix 1.1 memory management demonstrate its effectiveness