Title
Brzozowski Goes Concurrent - A Kleene Theorem for Pomset Languages.
Abstract
Concurrent Kleene Algebra (CKA) is a mathematical formalism to study programs that exhibit concurrent behaviour. As with previous extensions of Kleene Algebra, characterizing the free model is crucial in order to develop the foundations of the theory and potential applications. For CKA, this has been an open question for a few years and this paper makes an important step towards an answer. We present a new automaton model and a Kleene-like theorem that relates a relaxed version of CKA to series-parallel pomset languages, which are a natural candidate for the free model. There are two substantial differences with previous work: from expressions to automata, we use Brzozowski derivatives, which enable a direct construction of the automaton; from automata to expressions, we provide a syntactic characterization of the automata that denote valid CKA behaviours.
Year
DOI
Venue
2017
10.4230/LIPIcs.CONCUR.2017.25
CONCUR
DocType
Volume
Citations 
Conference
abs/1704.07199
2
PageRank 
References 
Authors
0.39
0
5
Name
Order
Citations
PageRank
Tobias Kappé133.11
Paul Brunet243.81
bas luttik318222.90
Alexandra Silva4206.76
Fabio Zanasi543.47