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Concolic testing combines concrete execution with symbolic execution along the executed path to automatically generate new test inputs that exercise program paths and deliver high code coverage during testing. The GKLEE tool uses this approach to expose data races in CUDA programs written for execution of GPGPUs. In programs employing concurrent dynamic data structures, automatic generation of data structures with appropriate shapes that cause threads to follow selected, possibly divergent, paths is a challenge. Moreover, a single non-conflicting data structure must be generated for multiple threads, that is, a single shape must be found that simultaneously causes all threads to follow their respective chosen paths. When an execution exposes a bug (e.g., a data race), the generated data structure shape helps the programmer understand the cause of the bug. Because GKLEE does not permit pointers that construct dynamic data structures to be made symbolic, it cannot automatically generate data structures of different shapes and must rely on the user to write code that constructs them to exercise desired paths. We have developed DSGEN for automatically generating non-conflicting dynamic data structures with different shapes and integrated it with GKLEE to uncover and facilitate understanding of data races in programs that employ complex concurrent dynamic data structures. In comparison to GKLEE, DSGEN increases the number of races detected from 10 to 25 by automatically generating a total of 1,897 shapes in implementations of four complex concurrent dynamic data structures -- B-Tree, Hash-Array Mapped Trie, RRB-Tree, and Skip List. 

While much of the research on graph analytics over large power-law graphs has focused on developing algorithms for evaluating a single global graph query, in practice we may be faced with a stream of queries. We observe that, due to their global nature, vertex specific graph queries present an opportunity for sharing work across queries. To take advantage of this opportunity, we have developed the VRGQ framework that accelerates the evaluation of a stream of queries via coarsegrained value reuse. In particular, the results of queries for a small set of source vertices are reused to speedup all future queries. We present a two step algorithm that in its first step initializes the query result based upon value reuse and then in the second step iteratively evaluates the query to convergence. The reused results for a small number of queries are held in a reuse table. Our experiments with best reuse configurations on four power law graphs and thousands of graph queries of five kinds yielded average speedups of 143×, 13.2×, 6.89×, 1.43×, and 1.18×. 

For compute-intensive iterative queries over a streaming graph, it is critical to evaluate the queries continuously and incrementally for best efficiency. However, the existing incremental graph processing requires a priori knowledge of the query (e.g., the source vertex of a vertex-specific query); otherwise, it has to fall back to the expensive full evaluation that starts from scratch. To alleviate this restriction, this work presents a principled solution to generalizing the incremental graph processing, such that queries, without their a priori knowledge, can also be evaluated incrementally. The solution centers around the concept of graph triangle inequalities, an idea inspired by the classical triangle inequality principle in the Euclidean space. Interestingly, similar principles can also be derived for many vertex-specific graph problems. These principles can help establish rigorous constraints between the evaluation of one graph query and the results of another, thus enabling reusing the latter to accelerate the former. Based on this finding, a novel streaming graph system, called Tripoline, is built which enables incremental evaluation of queries without their a priori knowledge. Built on top of a state-of-the-art shared-memory streaming graph engine (Aspen), Tripoline natively supports high-throughput low-cost graph updates. A systematic evaluation with a set of eight vertex-specific graph problems and four real-world large graphs confirms both the effectiveness of the proposed techniques and the efficiency of Tripoline.