Certified Reasoning in Memory Hierarchies

  • Authors:
  • Gilles Barthe;César Kunz;Jorge Luis Sacchini

  • Affiliations:
  • IMDEA Software, and INRIA Sophia Antipolis - Méditerranée,;INRIA Sophia Antipolis - Méditerranée,;INRIA Sophia Antipolis - Méditerranée,

  • Venue:
  • APLAS '08 Proceedings of the 6th Asian Symposium on Programming Languages and Systems
  • Year:
  • 2008

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Abstract

Parallel programming is rapidly gaining importance as a vector to develop high performance applications that exploit the improved capabilities of modern computer architectures. In consequence, there is a need to develop analysis and verification methods for parallel programs. Sequoia is a language designed to program parallel divide-and-conquer programs over a hierarchical, tree-structured, and explicitly managed memory. Using abstract interpretation, we develop a compositional proof system to analyze Sequoia programs and reason about them. Then, we show that common program optimizations transform provably correct Sequoia programs into provably correct Sequoia programs.