3 years ago

Heap Abstraction Beyond Context-Freeness.

Hannah Arndt, Christina Jansen, Thomas Noll, Christoph Matheja

The aim of shape analysis is to discover precise abstractions of the reachable data structures in a program's heap. This paper develops a shape analysis for reasoning about relational properties of data structures. Both the concrete and the abstract domain are represented by hypergraphs. The analysis is parameterized by user-supplied indexed graph grammars to guide concretization and abstraction. This novel extension of context-free graph grammars is powerful enough to model complex data structures, such as balanced binary trees with parent pointers, while preserving most desirable properties of context-free graph grammars. One strength of our analysis is that no artifacts apart from grammars are required from the user; it thus offers a high degree of automation. We implemented our analysis and successfully applied it to various programs manipulating AVL trees, (doubly-linked) lists, and combinations of both.

Publisher URL: http://arxiv.org/abs/1705.03754

DOI: arXiv:1705.03754v2

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