A general framework for sound and complete Floyd-Hoare logics

The work

AuthorsRob Arthan; Ursula Martin; Erik A. Mathiesen; Paulo Oliva
Editors
Typearticle
Year2009
Citekeyarthan2009general

Where it appeared

Published inACM Transactions on Computational Logic
PublisherAssociation for Computing Machinery
Volume11
Issue1
Pages1--31

Identifiers

arXiv0807.1016 from its oa_pdf_url
DOI10.1145/1614431.1614438
OpenAlexW2084929300

Access

Landing pagehttps://doi.org/10.1145/1614431.1614438
Free full texthttps://arxiv.org/pdf/0807.1016

Abstract

This article presents an abstraction of Hoare logic to traced symmetric monoidal categories, a very general framework for the theory of systems. Our abstraction is based on a traced monoidal functor from an arbitrary traced monoidal category into the category of preorders and monotone relations. We give several examples of how our theory generalizes usual Hoare logics (partial correctness of while programs, partial correctness of pointer programs), and provide some case studies on how it can be used to develop new Hoare logics (runtime analysis of while programs and stream circuits).

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How it got here

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Added2026-08-04 00:00 UTC
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Filed under

relatively-complete the-copy-is-not-the-work

Cite it as

@article{arthan2009general,
  title        = {A general framework for sound and complete Floyd-Hoare logics},
  author       = {Rob Arthan and Ursula Martin and Erik A. Mathiesen and Paulo Oliva},
  year         = {2009},
  journal      = {ACM Transactions on Computational Logic},
  publisher    = {Association for Computing Machinery},
  volume       = {11},
  number       = {1},
  pages        = {1--31},
  doi          = {10.1145/1614431.1614438},
}

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