LIPIcs.CONCUR.2020.20.pdf
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Partially Observable Concurrent Kleene Algebra
Authors
Jana Wagemaker 
,
Paul Brunet ,
Simon Docherty ,
Tobias Kappé ,
Alexandra Silva
-
Part of:
Volume:
31st International Conference on Concurrency Theory (CONCUR 2020)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: International Conference on Concurrency Theory (CONCUR) - License:
Creative Commons Attribution 3.0 Unported license
- Publication Date: 2020-08-26
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Jana Wagemaker, Paul Brunet, Simon Docherty, Tobias Kappé, Jurriaan Rot, and Alexandra Silva. Partially Observable Concurrent Kleene Algebra. In 31st International Conference on Concurrency Theory (CONCUR 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 171, pp. 20:1-20:22, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
https://doi.org/10.4230/LIPIcs.CONCUR.2020.20
https://doi.org/10.4230/LIPIcs.CONCUR.2020.20
Abstract
We introduce partially observable concurrent Kleene algebra (POCKA), an algebraic framework to reason about concurrent programs with variables as well as control structures, such as conditionals and loops, that depend on those variables. We illustrate the use of POCKA 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.
Subject Classification
ACM Subject Classification
- Theory of computation → Semantics and reasoning
- Theory of computation → Concurrency
- Theory of computation → Formal languages and automata theory
Keywords
- Concurrent Kleene algebra
- Kleene algebra with tests
- observations
- axiomatisation
- completeness
- sequential consistency
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References
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