Maintaining Doubly-Linked List Invariants in Shape Analysis with Local Reasoning

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This paper presents a novel shape analysis algorithm with local reasoning that is designed to analyze heap structures with structural invariants, such as doubly-linked lists. The algorithm abstracts and analyzes one single heap cell at a time. In order to maintain the structural invariants, the analysis uses a local heap abstraction that models the sub-heap consisting of one cell and its immediate neighbors. The proposed algorithm can successfully analyze standard doubly-linked list manipulations.