License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ITP.2022.24
URN: urn:nbn:de:0030-drops-167333
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/16733/
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Lammich, Peter

Refinement of Parallel Algorithms down to LLVM

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LIPIcs-ITP-2022-24.pdf (0.7 MB)

Abstract

We present a stepwise refinement approach to develop verified parallel algorithms, down to efficient LLVM code. The resulting algorithms' performance is competitive with their counterparts implemented in C/C++. Our approach is backwards compatible with the Isabelle Refinement Framework, such that existing sequential formalizations can easily be adapted or re-used. As case study, we verify a parallel quicksort algorithm, and show that it performs on par with its C++ implementation, and is competitive to state-of-the-art parallel sorting algorithms.

BibTeX - Entry

@InProceedings{lammich:LIPIcs.ITP.2022.24,
  author =	{Lammich, Peter},
  title =	{{Refinement of Parallel Algorithms down to LLVM}},
  booktitle =	{13th International Conference on Interactive Theorem Proving (ITP 2022)},
  pages =	{24:1--24:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-252-5},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{237},
  editor =	{Andronick, June and de Moura, Leonardo},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2022/16733},
  URN =		{urn:nbn:de:0030-drops-167333},
  doi =		{10.4230/LIPIcs.ITP.2022.24},
  annote =	{Keywords: Isabelle, Concurrent Separation Logic, Parallel Sorting, LLVM}
}

Keywords: Isabelle, Concurrent Separation Logic, Parallel Sorting, LLVM
Collection: 13th International Conference on Interactive Theorem Proving (ITP 2022)
Issue Date: 2022
Date of publication: 03.08.2022
Supplementary Material: Software (Isabelle Formalization): https://www21.in.tum.de/~lammich/isabelle_llvm_par/

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