Title
Concurrent Kleene Algebra with Observations: from Hypotheses to Completeness
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 $\mathsf{while}$-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.
Year
DOI
Venue
2020
10.1007/978-3-030-45231-5_20
FoSSaCS
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Kappé Tobias100.34
Brunet Paul200.34
Alexandra Silva3319.71
Wagemaker Jana400.34
Fabio Zanasi511013.89