Automated Verification of Concurrent Linked Lists with Counters

We present an automated veriication technique for veriica-tion of concurrent linked lists with integer variables. We show that using our technique one can automatically verify invariants that relate (unbounded) integer variables and heap variables such as head 6 = null ! numItems > 0. The presented technique extends our previous work on composite symbolic representations with shape analysis. The main idea is to use diierent data structures such as BDDs, arithmetic constraints and shape graphs as type speciic symbolic representations in automated veriication. We show that polyhedra based widening operation can be integrated with summarization operation in shape graphs to conservatively verify properties of concurrent linked lists.