A complete axiomatisation for observational congruence of finite-state behaviours
Information and Computation
A complete equational axiomatization for prefix iteration
Information Processing Letters
Axiomatizing prefix iteration with silent steps
Information and Computation
Branching time and abstraction in bisimulation semantics
Journal of the ACM (JACM)
A complete axiomatization for prefix iteration in branching bisimulation
Fundamenta Informaticae
A complete equational axiomatization for MPA with string iteration
Theoretical Computer Science
Communication and Concurrency
An Equational Axiomatization of Observation Congruence for Prefix Iteration
AMAST '96 Proceedings of the 5th International Conference on Algebraic Methodology and Software Technology
A New Strategy for Proving omega-Completeness applied to Process Algebra
CONCUR '90 Proceedings of the Theories of Concurrency: Unification and Extension
Concurrency and Automata on Infinite Sequences
Proceedings of the 5th GI-Conference on Theoretical Computer Science
Theoretical Computer Science
Electronic Notes in Theoretical Computer Science (ENTCS)
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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. Aceto and Ingólfsdóttir provided an axiom system for observation congruence over basic CCS with prefix iteration. However hitherto the only direct completeness proof given for such a system is very long and technical. In this paper, we provide a new proof for the completeness of the axiom system in [3], which is a considerable simplification comparing to the original proof. Thus the open problem to find a direct completeness proof is closed.