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The Ethereal
Partially Observable Concurrent Kleene Algebra
July 15, 2020 ยท The Ethereal ยท ๐ International Conference on Concurrency Theory
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Authors
Jana Wagemaker, Paul Brunet, Simon Docherty, Tobias Kappรฉ, Jurriaan Rot, Alexandra Silva
arXiv ID
2007.07593
Category
cs.LO: Logic in CS
Cross-listed
cs.FL,
cs.PL
Citations
7
Venue
International Conference on Concurrency Theory
Last Checked
5 months ago
Abstract
We introduce partially observable concurrent Kleene algebra (POCKA), an algebraic framework to reason about concurrent programs with control structures, such as conditionals and loops. POCKA enables reasoning about programs that can access variables and values, which we illustrate through concrete examples. We prove that POCKA is a sound and complete axiomatisation of a model of partial observations, and show the semantics passes an important check for sequential consistency.
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