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We present a novel technique for static race detection in Java programs, comprised of a series of stages that employ a combination of static analyses to successively reduce the pairs of memory accesses potentially involved in a race. We have implemented our technique and applied it to a suite of multi-threaded Java programs. Our experiments show that it is precise, scalable, and useful, reporting tens to hundreds of serious and previously unknown concurrency bugs in large, widely-used programs with few false alarms.