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Formal Validation of Data-Parallel Programs : a Two-Component Assertional Proof System for a Simple Language

Luc Bougé 1 David Cachera 1 Yann Le Guyadec 2 Gil Utard 3 Bernard Virot 4
1 REMAP - Regularity and massive parallel computing
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
2 VALORIA - Laboratoire de Recherche en Informatique et ses Applications de Vannes et Lorient
3 LIP - Laboratoire de l'Informatique du Parallélisme
4 LIFO - Laboratoire d'Informatique Fondamentale d'Orléans
Abstract : We present a proof system for a simple data-parallel kernel language called \L. This proof system is based on a two-component assertion language. We define a weakest preconditions calculus and analyse its definability properties. This calculus is used to prove the completeness of the proof system. We also present a two-phase proof methodology, yielding proofs similar to those for scalar languages. We finally discuss other approaches.
Keywords : PROOF SYSTEM HOARE LOGIC WEAKEST PRECONDITIONS SEMANTICS OF PROGRAMMING LANGUAGES DATA-PARALLEL LANGUAGES CONCURRENT PROGRAMMING SPECIFYING AND VERIFYING AND REASONING ABOUT PROGRAMS
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https://hal.inria.fr/inria-00073660
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Submitted on : Wednesday, May 24, 2006 - 1:26:12 PM
Last modification on : Friday, February 4, 2022 - 3:30:04 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:22:00 PM

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  • HAL Id : inria-00073660, version 1

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Luc Bougé, David Cachera, Yann Le Guyadec, Gil Utard, Bernard Virot. Formal Validation of Data-Parallel Programs : a Two-Component Assertional Proof System for a Simple Language. [Research Report] RR-3033, INRIA. 1996. ⟨inria-00073660⟩

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