Abstract
Concurrent Kleene Algebra (CKA) was introduced by Hoare, Moeller, Struth and Wehrman in 2009 as a framework to reason about concurrent programs. We prove that the axioms for CKA with bounded parallelism are complete for the semantics proposed in the original paper; consequently, these semantics are the free model for this fragment. This result settles a conjecture of Hoare and collaborators. Moreover, the technique developed to this end allows us to establish a Kleene Theorem for CKA, extending an earlier Kleene Theorem for a fragment of CKA.
Cite
CITATION STYLE
Kappé, T., Brunet, P., Silva, A., & Zanasi, F. (2018). Concurrent kleene algebra: Free model and completeness. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10801 LNCS, pp. 856–882). Springer Verlag. https://doi.org/10.1007/978-3-319-89884-1_30
Register to see more suggestions
Mendeley helps you to discover research relevant for your work.
