Algebraic Principles for Rely-Guarantee Style Concurrency Verification Tools

We provide simple equational principles for deriving rely-guarantee-style inference rules and refinement laws based on idempotent semirings. We link the algebraic layer with concrete models of programs based on languages and execution traces. We have implemented the approach in Isabelle/HOL as a lig...

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Bibliographic Details
Published in:arXiv.org 2013-12
Main Authors: Armstrong, Alasdair, Gomes, Victor B F, Struth, Georg
Format: Article
Language:English
Subjects:
Algebra
Concurrency
Rings (mathematics)
Online Access:Get full text
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Summary:We provide simple equational principles for deriving rely-guarantee-style inference rules and refinement laws based on idempotent semirings. We link the algebraic layer with concrete models of programs based on languages and execution traces. We have implemented the approach in Isabelle/HOL as a lightweight concurrency verification tool that supports reasoning about the control and data flow of concurrent programs with shared variables at different levels of abstraction. This is illustrated on two simple verification examples.
ISSN:2331-8422