Kleene Algebra with Observations
Logic in Computer Science
2023-02-03 v4 Formal Languages and Automata Theory
Abstract
Kleene algebra with tests (KAT) is an algebraic framework for reasoning about the control flow of sequential programs. Generalising KAT to reason about concurrent programs is not straightforward, because axioms native to KAT in conjunction with expected axioms for concurrency lead to an anomalous 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.
Keywords
Cite
@article{arxiv.1811.10401,
title = {Kleene Algebra with Observations},
author = {Tobias Kappé and Paul Brunet and Jurriaan Rot and Alexandra Silva and Jana Wagemaker and Fabio Zanasi},
journal= {arXiv preprint arXiv:1811.10401},
year = {2023}
}