Abstract
In this paper we consider parameterized model checking problem of asynchronous communicating processes in the framework of network invariants. The framework of network invariants relies on relations over labelled transition systems such as simulation, bisimulation, trace equivalence and trace inclusion. In the case of asynchronous parallel composition simulation and bisimulation appear to be rather strong and thus require additional abstractions.
In our work three weaker simulation relations are proposed namely quasi-block simulation, block simulation and semi-block simulation. Quasi-block simulation has all the properties to be applied to the technique of network invariants. Block simulation is a stronger relation than a quasi-block simulation. It is used to find an invariant. An initial semi-block simulation over two models exists if and only if an initial block simulation over that models exists. Thus, it is sufficient to compute a semi-block simulation on the models. The sketch of an algorithm to perform such a computation is presented. Previously, we used the framework to check a parameterized model of RSVP protocol. In this paper a series of optimizations that decrease the time of computation are shown.
Similar content being viewed by others
References
Abdulla, P., Jonsson, B., Nilsson, M., and Saksena, M., A Survey of Regular Model Checking, Proc. 15th Int. Conf. on Concurrency Theory, Lecture Notes in Computer Science, 2004, pp. 35–48.
Apt, K.R. and Kozen, D., Limits for Automatic Program Verification of Finite-State Concurrent Systems, Information Processing Letters, 1986, vol. 22, no. 6, pp. 307–309.
Calder, M. and Miller, A., Five Ways to Use Induction and Symmetry in the Verification of Networks of Processes by Model-Checking, Proc. AvoCS 2002 (Automated Verification of Critical Systems), 2002, pp. 29–42.
Clarke, E.M., Grumberg, O., and Jha, S., Verifying Parameterized Networks Using Abstraction and Regular Languages, Proc. 6th International Conference on Concurrency Theory, 1995, pp. 395–407.
Clarke, E.M., Grumberg, O., and Jha, S., Verifying Parameterized Networks, ACM Transactions on Programming Languages and Systems, 1997, vol. 19, no. 5, pp. 726–750.
Clarke, E.M., Grumberg, O., and Peled, D., Model Checking, MIT Press, 2000.
Clarke, E., Talupur, M., Touili, T., and Veith, H., Verification by Network Decomposition, Proc. CONCUR’04, Lecture Notes in Computer Science, 2004, vol. 3170, pp. 276–291.
Emerson, E.A. and Namjoshi, K.S., Reasoning about Rings, Proc. 22th ACM Conf. on Principles of Programming Languages, POPL’95, 1995, pp. 85–94.
Emerson, E.A. and Sistla, A.P., Symmetry and Model Checking, Formal Methods in System Design, 1996, vol. 9, no. 1/2, pp. 105–131.
Gerth, R., Kuiper, R., Peled, D., and Penczek, W., A Partial Order Approach to Branching Time Logic Model Checking, Information and Computation, 1999, vol. 150, no. 2, pp. 132–152.
van Glabbeek, R.J. and Weijland, W.P., Branching Time and Abstraction in Bisimulation Semantics, Journal of the ACM, 1996, vol. 43, no. 3, pp. 555–600.
Holzmann, G. and Puri, A., A Minimized Automaton Representation of Reachable States, in Software Tools for Technology Transfer, 1998, vol. 3, no. 1, pp. 270–278.
Holzmann, G., The SPIN Model Checker: Primer and Reference Manual, Addison-Wesley Professional, 2003.
Ip, C.N. and Dill, D.L., Verifing Systems with Replicating Components in Murphi, Formal Methods in System Design, 1999, vol. 14, pp. 273–310.
Kesten, Y. and Pnueli, A., Verification by Finitary Abstraction, Information and Computation, 2000, vol. 163, pp. 203–243.
Kurshan, R.P. and MacMillan, K.L., Structural Induction Theorem for Processes, Proc. the 8th International Symposium on Principles of Distributed Computing, PODC’89, 1989, pp. 239–247.
Konnov, I.V. and Zakharov, V.A., An Approach to the Verification of Symmetric Parameterized Distributed Systems, Programming and Computer Software, 2005, vol. 31, no. 5, pp. 225–236.
Zakharov, V. and Konnov, I., An Invariant-Based Approach to the Verification of Asynchronous Parameterized Networks, International Workshop on Invariant Generation (WING’07), RISC-Linz Report Series no. 07-07. RISC, Hagenberg, Austria, 2007, pp. 41–55.
Lesens, D., Invariants of Parameterized Binary Tree Networks as Greatest Fixpoints, Proc. Sixth International Conference on Algebraic Methodology and Software Technology, AMAST’97, 1997, pp. 337–350.
Lesens, D., Halbwachs, N., and Raymond, P., Automatic Verification of Parameterized Linear Networks of Processes, POPL’97, Proc. the 24th ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages (ACM, New York, NY, USA, 1997), pp. 346–357.
Manku, G.S., Hojati, R., and Brayton, R.K., Structural Symmetries and Model Checking, Proc. International Conference on Computer-Aided Verification (CAV’98), 1998, pp. 159–171.
Marelly, R. and Grumberg, O., Gormel-Grammar Oriented Model Checker, Technical Report 697, The Technion, 1991.
Nilsson, M., Regular Model Checking, PhD Thesis, Uppsala, Sweden: Uppsala University, 2005.
Penczek, W., Gerth, R., Kuiper, R., and Szreter, M., Partial Order Reductions Preserving Simulations, 1999.
Braden, R., Resource Reservation Protocol (RSVP), 1997, http://tools.ietf.org/html/rfc2205.
Shahar, E., Tools and Techniques for Verifying Parameterized Systems, PhD Thesis Weizmann Institute of Science, 2001.
Wolper, P. and Lovinfosse, V., Properties of Large Sets of Processes with Network Invariants, Lecture Notes in Computer Science, 1989, vol. 407, pp. 68–80.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © I.V. Konnov, 2008, published in Modelirovanie i Analiz Informatsionnykh Sistem, 2008, No. 3, pp. 3—13.
The article was translated by the authors.
About this article
Cite this article
Konnov, I.V. On application of weaker simulations to parameterized model checking by network invariants technique. Aut. Conrol Comp. Sci. 44, 378–386 (2010). https://doi.org/10.3103/S0146411610070035
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0146411610070035