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Concurrent Kleene Algebra with Observations: From Hypotheses to Completeness

Kappé, T; Brunet, P; Silva, A; Wagemaker, J; Zanasi, F; (2020) Concurrent Kleene Algebra with Observations: From Hypotheses to Completeness. In: Goubault-Larrecq, J and König, B, (eds.) Foundations of Software Science and Computation Structures: 23rd International Conference, FOSSACS 2020, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2020, Dublin, Ireland, April 25–30, 2020, Proceedings. (pp. pp. 381-400). Springer: Cham, Switzerland. Green open access

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Abstract

Concurrent Kleene Algebra (CKA) extends basic Kleene algebra with a parallel composition operator, which enables reasoning about concurrent programs. However, CKA fundamentally misses tests, which are needed to model standard programming constructs such as conditionals and while -loops. It turns out that integrating tests in CKA is subtle, due to their interaction with parallelism. In this paper we provide a solution in the form of Concurrent Kleene Algebra with Observations (CKAO). Our main contribution is a completeness theorem for CKAO. Our result resorts on a more general study of CKA “with hypotheses”, of which CKAO turns out to be an instance: this analysis is of independent interest, as it can be applied to extensions of CKA other than CKAO.

Type: Proceedings paper
Title: Concurrent Kleene Algebra with Observations: From Hypotheses to Completeness
Event: International Conference on Foundations of Software Science and Computation Structures
ISBN-13: 978-3-030-45230-8
Open access status: An open access version is available from UCL Discovery
DOI: 10.1007/978-3-030-45231-5_20
Publisher version: https://doi.org/10.1007/978-3-030-45231-5_20
Language: English
Additional information: Copyright © The Author(s) 2020. This chapter is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this chapter are included in the chapter's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the chapter's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10096503
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