文章基本信息

标题：Kleene Algebra with Observations
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作者：Tobias Kapp ; Paul Brunet ; Jurriaan Rot 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2019
卷号：140
页码：1-16
DOI：10.4230/LIPIcs.CONCUR.2019.41
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：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.
关键词：Concurrent Kleene algebra; Kleene algebra with tests; free model; axiomatisation; decision procedure