Kleene Algebra with Observations

with Tobias Kappé, Alexandra Silva, Fabio Zanasi, Jurriaan Rot and Jana Wagemaker .

conference paper, in CONCUR 2019

Kleene algebra with tests (KAT) gives an algebraic perspective on reasoning about the control flow of sequential programs. However, when generalising KAT to reason about concurrent programs, axioms native to KAT in conjunction with axioms for reasoning about concurrency lead to a bizarre equation. In this paper, we propose Kleene algebra with observations (KAO), a variant of KAT, as an alternative foundation for extending KAT to a concurrent setting. We characterise the free model of KAO, and establish a decision procedure w.r.t. its equational theory.

@inproceedings{kbrswz19,
    title = "Kleene Algebra with Observations",
    author = "{Paul Brunet}, {Tobias Kappé}, {Alexandra Silva}, {Fabio Zanasi}, {Jurriaan Rot}, {Jana Wagemaker}",
    year = 2019,
    booktitle = "CONCUR",
    doi = "10.4230/LIPIcs.CONCUR.2019.41"
}

Links

	Permanent link
	Preprint on arXiV
	Paper on DROPS - LIPIcs

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