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Issue No. 03 - March (2000 vol. 26)
ISSN: 0098-5589
pp: 276-288
<p><b>Abstract</b>—We present a systematic approach to the development of message passing programs. Our programming model is SPMD, with communications restricted to collective operations: scan, reduction, gather, etc. The design process in such an architecture-independent language is based on correctness-preserving transformation rules, provable in a formal functional framework. We develop a set of design rules for composition and decomposition. For example, scan followed by reduction is replaced by a single reduction, and global reduction is decomposed into two faster operations. The impact of the design rules on the target performance is estimated analytically and tested in machine experiments. As a case study, we design two provably correct, efficient programs using the Message Passing Interface (MPI) for the famous maximum segment sum problem, starting from an intuitive, but inefficient, algorithm specification. </p>
Message passing, MPI, collective operations, program transformations, systematic program design, reduction, scan, homomorphisms, skeletons, maximum segment sum.

S. Gorlatch, "Toward Formally-Based Design of Message Passing Programs," in IEEE Transactions on Software Engineering, vol. 26, no. , pp. 276-288, 2000.
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