Abstract
We provide an answer to an open question, posed by van Glabbeek [4], regarding the axiomatizability of ready trace semantics. We prove that if the alphabet of actions is finite, then there exists a (sound and complete) finite equational axiomatization for the process algebra BCCSP modulo ready trace semantics. We prove that if the alphabet is infinite, then such an axiomatization does not exist. Furthermore, we present finite equational axiomatizations for BCCSP modulo ready simulation and failure trace semantics, for arbitrary sets of actions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. Aceto, W.J. Fokkink, and A. Ingólfsdóttir. 2-nestedsim ulation is not finitely equationally axiomatizable. In A. Ferreira and H. Reichel, eds, Proceedings 18th Symposium on Theoretical Aspects of Computer Science (STACS’2001), Dresden, LNCS 2010, pp. 39–50. Springer-Verlag, 2001.
J.C.M. Baeten, J.A. Bergstra, and J.W. Klop. Ready-trace semantics for concrete process algebra with the priority operator. The Computer Journal, 30(6):498–506, 1987.
B. Bloom, S. Istrail, and A.R. Meyer. Bisimulation can’t be traced. Journal of the ACM, 42(1):232–268, 1995.
R.J. van Glabbeek. The linear time — branching time spectrum I. The semantics of concrete, sequential processes. In J.A. Bergstra, A. Ponse, and S.A. Smolka, eds, Handbook of Process Algebra, pp. 3–99. Elsevier, 2001.
J.F. Groote. A new strategy for proving ω-completeness with applications in process algebra. In J.C.M. Baeten and J.W. Klop, eds., Proceedings 1st Conference on Concurrency Theory (CONCUR’90), Amsterdam, LNCS 458, pp. 314–331. Springer-Verlag, 1990.
J.F. Groote and F.W. Vaandrager. Structuredop erational semantics and bisimulation as a congruence. Information and Computation, 100(2):202–260, 1992.
K.G. Larsen and A. Skou. Bisimulation through probabilistic testing. Information and Computation, 94(1):1–28, 1991.
D.M.R. Park. Concurrency and automata on infinite sequences. In P. Deussen, ed., Proceedings 5th GI (Gesellschaft für Informatik) Conference, Karlsruhe, LNCS 104, pp. 167–183. Springer-Verlag, 1981.
G.D. Plotkin. A structural approach to operational semantics. Report DAIMI FN-19, Aarhus University, 1981.
I.C.C. Phillips. Refusal testing. Theoretical Computer Science, 50(3):241–284, 1987.
A. Pnueli. Linear and branching structures in the semantics and logics of reactive systems. In W. Brauer, ed., Proceedings 12th Colloquium on Automata, Languages and Programming (ICALP’85), Nafplion, LNCS 194, pp. 15–32. Springer-Verlag, 1985.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Blom, S., Fokkink, W., Nain, S. (2003). On the Axiomatizability of Ready Traces, Ready Simulation, and Failure Traces. In: Baeten, J.C.M., Lenstra, J.K., Parrow, J., Woeginger, G.J. (eds) Automata, Languages and Programming. ICALP 2003. Lecture Notes in Computer Science, vol 2719. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45061-0_10
Download citation
DOI: https://doi.org/10.1007/3-540-45061-0_10
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40493-4
Online ISBN: 978-3-540-45061-0
eBook Packages: Springer Book Archive