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Automatic symmetry detection for Promela. (English) Zbl 1191.68411
Summary: We introduce a specification language, Promela-Lite, which captures the essential features of Promela but which, unlike Promela, has a formally defined semantics. We show how we can detect symmetry in specifications defined in Promela-lite by constructing a directed, coloured bipartite digraph called a static channel diagram, and applying computational group theoretic techniques. We extend our approach to Promela and introduce a tool, SymmExtractor, for automatically detecting symmetries of Promela specifications. We demonstrate the effectiveness of our approach via experimental results for a suite of Promela specifications. Unlike previous approaches our technique is fully automatic, and not restricted to fully symmetric systems.

68Q60 Specification and verification (program logics, model checking, etc.)
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[1] Aho, A., Sethi, R., Ullman, J.: Compilers–Principles, Techniques and Tools. Addison-Wesley, Reading (1986) · Zbl 1155.68020
[2] Bosnacki, D., Dams, D., Holenderski, L.: Symmetric spin. Int. J. Softw. Tools Technol. Transf. 4(1), 65–80 (2002) · Zbl 02178179 · doi:10.1007/s100090200074
[3] Cameron, P.: Permutation groups. London Mathematical Society Student Texts, vol. 45. Cambridge University Press, Cambridge (1999) · Zbl 0922.20003
[4] Cardelli, L.: Type systems. In: Tucker, A. (ed.) The Computer Science and Engineering Handbook, New York, USA, pp. 2208–2236. CRC, Boca Raton (1997)
[5] Clarke, E., Emerson, E.: Synthesis of synchronization skeletons for branching time temporal logic. In: Proceedings of the Workshop in Logic of Programs. Lecture Notes in Computer Science, Yorktown Heights, N.Y., vol. 131. Springer, New York (1981) · Zbl 0546.68014
[6] Clarke, E., Emerson, E., Jha, S., Sistla, A.: Symmetry reductions in model-checking. In: Hu, A., Vardi, M. (eds.) Proceedings of the 10th International Conference on Computer-aided Verification (CAV ’98). Lecture Notes in Computer Science, Vancouver, British Columbia, Canada, vol. 1427, pp. 147–158. Springer, New York (1998)
[7] Clarke, E., Emerson, E., Sistla, A.P.: Automatic verification of finite-state concurrent systems using temporal logic specifications. ACM Trans. Program. Lang. Syst. 8(2), 244–263 (1986) · Zbl 0591.68027 · doi:10.1145/5397.5399
[8] Clarke, E., Enders, R., Filkorn, T., Jha, S.: Exploiting symmetry in temporal logic model checking. Form. Methods Syst. Des. 9(1–2), 77–104 (1996) · Zbl 05475431 · doi:10.1007/BF00625969
[9] Clarke, E., Grumberg, O., Long, D.: Model checking and abstraction. ACM Trans. Program. Lang. Syst. 16(5), 1512–1542 (1994) · doi:10.1145/186025.186051
[10] Clarke, E., Grumberg, O., Peled, D.: Model Checking. MIT, Cambridge (1999)
[11] Cohn, P.: Algebra. Wiley, New York (1982)
[12] Darga, P., Liffiton, M., Sakallah, K., Markov, I.: Exploiting structure in symmetry detection for CNF. In: Proceedings of the 41st Annual Conference on Design Automation, San Diego, CA, USA, pp. 530–534. ACM, New York (2004)
[13] Derepas, F., Gastin, P.: Model checking systems of replicated processes with Spin. In: Dwyer, M.B. (ed.) Proceedings of the 8th International SPIN Workshop (SPIN 2001). Lecture Notes in Computer Science, Toronto, Canada, vol. 2057, pp. 235–251. Springer, New York (2001) · Zbl 0985.68521
[14] Dill, D., Drexler, A., Hu, A., Yang, C.H.: Protocol verification as a hardware design aid. In: Proceedings 1992 IEEE International Conference on Computer Design: VLSI in Computer & Processors (ICCD’92), Cambridge, MA, USA, pp. 522–525. IEEE Computer Society, Los Alamitos (1992)
[15] Donaldson, A.: Thesis website. http://www.dcs.gla.ac.uk/people/personal/ally/thesis/
[16] Donaldson, A., Miller, A., Calder, M.: Finding symmetry in models of concurrent systems by static channel diagram analysis. Electron. Notes Theor. Comp. Sci. 128(6), 161–177 (2005) · Zbl 05415159 · doi:10.1016/j.entcs.2005.04.010
[17] Donaldson, A.F.: Automatic Techniques for Detecting and Exploiting Symmetry in Model Checking. PhD Thesis. Department of Computing Science, University of Glasgow, UK (2007)
[18] Donaldson, A.F., Gay, S.: ETCH: an enhanced type checking tool for Promela. In: Godefroid, P. (ed.) Proceedings of the 12th International SPIN Workshop (SPIN 2005). Lecture Notes in Computer Science, Barcelona, Spain, vol. 3639, pp. 237–242. Springer, New York (2005)
[19] Donaldson, A.F., Miller, A.: Automatic symmetry detection for model checking using computational group theory. In: Fitzgerald, J., Hayes, I., Tarlecki, A. (eds.) Proceedings of the 13th International Symposium on Formal Methods (FM 2005). Lecture Notes in Computer Science, Newcastle, UK, vol. 3582, pp. 481–496. Springer, New York (2005) · Zbl 1120.68414
[20] Donaldson, A.F., Miller, A.: A computational group theoretic symmetry reduction package for the SPIN model checker. In: Proceedings of the 11th International Conference on Algebraic Methodology and Software Technology (AMAST’06). Lecture Notes in Computer Science, Kuressaare, Estonia, vol. 4019, pp. 374–380. Springer, New York (2006)
[21] Donaldson, A.F., Miller, A.: Exact and approximate strategies for symmetry reduction in model checking. In: Misra, J., Nipkow, T., Sekerinski, E. (eds.) Proceedings of the 14th International Symposium on Formal Methods (FM 2006). Lecture Notes in Computer Science, Hamilton, Ontario, Canada, vol. 4085, pp. 541–556. Springer, New York (2006)
[22] Donaldson, A.F., Miller, A.: Extending symmetry reduction techniques to a realistic model of computation. Electron. Notes Theor. Comput. Sci. 185, 63–76 (2007) · Zbl 05417753 · doi:10.1016/j.entcs.2007.05.029
[23] Emerson, E., Havlicek, J., Trefler, R.: Virtual symmetry reduction. In: Proceedings of the 15th Annual IEEE Symposium on Logic in Computer Science, Santa Barbara, CA, USA, pp. 121–131. IEEE Computer Society Press, Silver Spring (2000)
[24] Emerson, E., Sistla, A.: Symmetry and model checking. Form. Methods Syst. Des. 9(1–2), 105–131 (1996) · Zbl 05475432 · doi:10.1007/BF00625970
[25] Gaggnon, E., Handren, L.: SableCC, an object-oriented compiler framework. In: Proceedings of TOOLS USA, pp. 140–154. IEEE Computer Society, Los Alamitos (1998)
[26] Gap Group: GAP– Groups Algorithms and Programming, Version 4.4. Aachen, St. Andrews. http://www.gap-system.org/ (2006)
[27] Godefroid, P.: Exploiting symmetry when model-checking software (extended abstract). In: Wu, J., Chanson, S., Gao, Q. (eds.) Proceedings of the Joint International Conference on Formal Description Techniques for Distributed Systems and Communication Protocols and Protocol Specification, Testing and Verification (FORTE/PSTV ’99 ). International Federation For Information Processing, Beijing, China, vol. 156, pp. 257–275. Kluwer, Deventer (1999) · Zbl 0953.68520
[28] Holzmann, G.: The SPIN Model Checker: Primer and Reference Manual. Addison Wesley, Boston (2003)
[29] Igarashi, A., Pierce, B., Wadler, P.: Featherweight Java: a minimal core calculus for Java and GJ. ACM Trans. Prog. Lang. Syst. 23(3), 396–450 (2001) · Zbl 05459286 · doi:10.1145/503502.503505
[30] Ip, C., Dill, D.: Better verification through symmetry. Form. Methods Syst. Des. 9, 41–75 (1996) · Zbl 05475430 · doi:10.1007/BF00625968
[31] Larson, K., Pettersson, P., Yi, W.: UPPAAL in a nutshell. Softw. Tools Technol. Transf. 1(1/2), 134–152 (1997) · Zbl 1060.68577 · doi:10.1007/s100090050010
[32] McKay, B.: Nauty user’s guide (version 1.5). Technical Report TR-CS-90-02. Australian National University, Computer Science Department (1990)
[33] McMillan, K.L.: Symbolic Model Checking. Kluwer, Boston (1993) · Zbl 0784.68004
[34] Miller, A., Donaldson, A., Calder, M.: Symmetry in temporal logic model checking. Comput. Surv. 36(3), September (2006)
[35] Nalumasu, R., Gopalakrishnan, G.: Explicit-enumeration based verification made memory-efficient. In: Johnston, S. (ed.) Proceedings of the 12th IFIP International Conference on Computer Hardware Description Languages and their Applications (CHDL’95). IFIP, Chiba, Japan, pp. 617–622. Elsevier, Amsterdam (1995)
[36] Queille, J.P., Sifakis, J.: Specification and verification of concurrent systems in CÆSAR. In: Dezani-Ciancaglini, M., Montanari, U. (eds.) Proceedings of the 5th International Symposium on Programming. Lecture Notes in Computer Science, Torino, Italy, vol. 137, pp. 195–220. Springer, New York (1982) · Zbl 0482.68028
[37] Rose, J.: A Course in Group Theory. Dover, New York (1994) · Zbl 0818.11001
[38] Saffrey, P.: Optimising Communication Structure for Model Checking. PhD Thesis. Department of Computing Science, University of Glasgow, July (2003) · Zbl 1129.68448
[39] Sistla, A., Godefroid, P.: Symmetry and reduced symmetry in model checking. In: Berry, G., Comon, H., Finkel, A. (eds.) Proceedings of the 13th International Conference on Computer-aided Verification (CAV 2001). Lecture Notes in Computer Science, Paris, France, vol. 2102, pp. 91–103. Springer, New York (2001) · Zbl 0991.68543
[40] Sistla, A., Gyuris, V., Emerson, E.: SMC: a symmetry-based model checker for verification of safety and liveness properties. ACM Trans. Softw. Eng. Methodol. 9, 133–166 (2000) · doi:10.1145/350887.350891
[41] Tanenbaum, A., van Steen, M.: Distributed Systems Principles and Paradigms. Prentice Hall, Englewood Cliffs (2002) · Zbl 1157.68324
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