Abstract
Stuttering bisimulation is a well-known behavioural equivalence that preserves CTL-X, namely CTL without the next-time operator X. Correspondingly, the stuttering simulation preorder induces a coarser behavioural equivalence that preserves the existential fragment ECTL-{X,G}, namely ECTL without the next-time X and globally G operators. While stuttering bisimulation equivalence can be computed by the well-known Groote and Vaandrager’s algorithm, to the best of our knowledge, no algorithm for computing the stuttering simulation preorder and equivalence is available. This paper presents such an algorithm for finite state systems.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Browne, M.C., Clarke, E.M., Grumberg, O.: Characterizing finite Kripke structures in propositional temporal logic. Theor. Comp. Sci. 59, 115–131 (1988)
Bulychev, P.E., Konnov, I.V., Zakharov, V.A.: Computing (bi)simulation relations preserving CTLS*-X for ordinary and fair Kripke structures. In: Mathemathical Methods and Algorithms, Institute for System Programming, Russian Academy of Sciences, vol. 12 (2007), http://lvk.cs.msu.su/~peterbul
Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Introduction to Algorithms, 2nd edn. The MIT Press and McGraw-Hill, Cambridge (2001)
De Nicola, R., Vaandrager, F.: Three logics for branching bisimulation. J. ACM 42(2), 458–487 (1995)
Etessami, K., Wilke, T., Schuller, R.A.: Fair simulation relations, parity games, and state space reduction for Buchi automata. SIAM J. Comput. 34(5), 1159–1175 (2001)
Groote, J.F., Vaandrager, F.: An efficient algorithm for branching bisimulation and stuttering equivalence. In: Paterson, M. (ed.) ICALP 1990. LNCS, vol. 443, pp. 626–638. Springer, Heidelberg (1990)
Henzinger, M.R., Henzinger, T.A., Kopke, P.W.: Computing simulations on finite and infinite graphs. In: Proc. 36\(^{\mathit{th}}\) FOCS, pp. 453–462 (1995)
Lamport, L.: What good is temporal logic? In: Information Processing 1983. IFIP, pp. 657–668 (1983)
Manolios, P.: Mechanical Verification of Reactive Systems. PhD thesis, University of Texas at Austin (2001)
Nejati, S., Gurfinkel, A., Chechik, M.: Stuttering abstraction for model checking. In: 3rd IEEE Int. Conf. on Software Engineering and Formal Methods (SEFM 2005), pp. 311–320 (2005)
Ranzato, F., Tapparo, F.: A new efficient simulation equivalence algorithm. In: Proc. 22nd IEEE Symp. on Logic in Computer Science (LICS 2007), pp. 171–180. IEEE Press, Los Alamitos (2007)
Ranzato, F., Tapparo, F.: Generalizing the Paige-Tarjan algorithm by abstract interpretation. Information and Computation 206(5), 620–651 (2008)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ranzato, F., Tapparo, F. (2009). Computing Stuttering Simulations. In: Bravetti, M., Zavattaro, G. (eds) CONCUR 2009 - Concurrency Theory. CONCUR 2009. Lecture Notes in Computer Science, vol 5710. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04081-8_36
Download citation
DOI: https://doi.org/10.1007/978-3-642-04081-8_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04080-1
Online ISBN: 978-3-642-04081-8
eBook Packages: Computer ScienceComputer Science (R0)