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We focus on an important problem in ubiquitous computing, namely, programming support for the distributed heterogeneous computing elements that make up this environment. We address the interactive, dynamic, and stream-oriented nature of this application class and develop appropriate computational abstractions in the D-Stampede distributed programming system. The key features of D-Stampede include indexing data streams temporally, correlating different data streams temporally, performing automatic distributed garbage collection of unnecessary stream data, supporting high performance by exploiting hardware parallelism where available, supporting platform and language heterogeneity, and dealing with application level dynamism. We discuss the features of D-Stampede, the programming ease it affords, and its performance.