Recent developments in concurrent Kleene algebra
IRIS scientific meeting
in London,
December 2020
Concurrent Kleene algebra (CKA) is an algebraic framework to reason about concurrent programs. In recent years, we have studied several ways of enhancing CKA with extra features, to carry out more sophisticated verification tasks.
In this talk, I will start by recalling the basic definitions of CKA, and its decidability and completeness theorems. We will then take an overview of some of its extensions, considering aspects such as control-flow, memory consistency and mutual exclusion.
This talk is the result of collaborations with Tobias Kappé, Jana Wagemaker, Simon Docherty, Fabio Zanasi, Jurriaan Rot, Alexandra Silva, David Pym, Damien Pous, and Georg Struth.
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Related papers | ||
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Equivalence checking for weak bi-Kleene algebra
(in LMCS 2021)
with Tobias Kappé, Alexandra Silva, Bas Luttik and Fabio Zanasi. |
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Partially Observable Concurrent Kleene Algebra
(in CONCUR 2020)
with Jana Wagemaker, Simon Docherty, Jurriaan Rot, Tobias Kappé and Alexandra Silva. |
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Concurrent Kleene Algebra with Observations: From Hypotheses to Completeness
(in FoSSaCS 2020)
with Tobias Kappé, Alexandra Silva, Fabio Zanasi and Jana Wagemaker. |
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Pomsets with Boxes: Protection, Separation, and Locality in Concurrent Kleene Algebra
(in FSCD 2020)
with David Pym. |
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On Series-Parallel Pomset Languages: Rationality, Context-Freeness and Automata
(in JLAMP 2019)
with Tobias Kappé, Alexandra Silva, Bas Luttik and Fabio Zanasi. |
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Kleene Algebra with Observations
(in CONCUR 2019)
with Tobias Kappé, Alexandra Silva, Fabio Zanasi, Jurriaan Rot and Jana Wagemaker. |
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Concurrent Kleene Algebra: Free Model and Completeness
(in ESOP 2018)
with Tobias Kappé, Alexandra Silva and Fabio Zanasi. |
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Brzozowski Goes Concurrent - A Kleene Theorem for Pomset Languages
(in CONCUR 2017)
with Tobias Kappé, Alexandra Silva, Bas Luttik and Fabio Zanasi. |
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|
On Decidability of Concurrent Kleene Algebra
(in CONCUR 2017)
with Damien Pous and Georg Struth. |
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