A Cook’s Tour of Equational Axiomatizations for Prefix Iteration

Luca Aceto, Willem Jan Fokkink, Anna Ingólfsdóttir

Abstract


Prefix iteration is a variation on the original binary version of the
Kleene star operation P*Q, obtained by restricting the first argument to be an atomic action, and yields simple iterative behaviours that can be equationally characterized by means of finite collections of axioms. In this paper, we present axiomatic characterizations for a significant fragment of the notions of equivalence and preorder in van Glabbeek's linear-time/branching-time spectrum over Milner's basic CCS extended with prefix iteration. More precisely, we consider ready simulation, simulation, readiness, trace and language semantics, and provide complete (in)equational axiomatizations for each of these notions over BCCS with prefix iteration. All of the axiom systems we present are finite, if so is the set of atomic actions under consideration.

Full Text:

PDF


DOI: http://dx.doi.org/10.7146/brics.v5i49.19494
This website uses cookies to allow us to see how the site is used. The cookies cannot identify you or any content at your own computer.
OK


ISSN: 0909-0878 

Hosted by the State and University Library and Aarhus University Library