Abstraction of Arrays Based on Non Contiguous Partitions

ion of Arrays Based on Non Contiguous Partitions Jiangchao Liu, Xavier Rival To cite this version: Jiangchao Liu, Xavier Rival. Abstraction of Arrays Based on Non Contiguous Partitions. 15th Conference on Verification, Model Checking, and Abstract Interpretation, Jan 2015, Mumbai, India. Springer, pp.282 299, 2015, Proceedings of the 15th Conference on Verification, Model Checking, and Abstract Interpretation. <10.1007/978-3-662-46081-8 16>. HAL Id: hal-01095985 https://hal.archives-ouvertes.fr/hal-01095985 Submitted on 16 Dec 2014 HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Abstraction of Arrays Based on Non Contiguous Partitions ⋆ion of Arrays Based on Non Contiguous Partitions ⋆ Jiangchao Liu and Xavier Rival INRIA, ENS, CNRS, Paris, France, [email protected], [email protected] Abstract. Array partitioning analyses split arrays into contiguous partitions 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. Array partitioning analyses split arrays into contiguous partitions 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.