Abstract:
This paper presents an equational axiomatization of bisimulation equivalence over the language of Basic Process Algebra (BPA) with multi-exit iteration. Multi-exit iteration is a generalization of the standard binary Kleene star operation that allows for the specification of agents that, up to bisimulation equivalence, are solutions of systems of recursion equations of the form
where n is a positive
integer, and the 
and the 
are process terms. The addition of
multi-exit iteration to BPA yields a more expressive language than that
obtained by augmenting BPA with the standard binary Kleene star (BPA 
). As
a consequence, the proof of completeness of the proposed equational
axiomatization for this language, although standard in its general structure,
is much more involved than that for BPA . An expressiveness hierarchy for
the family of k-exit iteration operators proposed by Bergstra, Bethke and
Ponse is also offered.
Available as PostScript, PDF, DVI.