Deductive model checking

Formal Methods in System Design

Volumn 15, Issue 1, 1999, Pages 49-74

  Sipma, Henny B ^a   Uribe, Tomás E ^a   Manna, Zohar ^a  

^a Stanford University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; CONSTRAINT THEORY; GRAPH THEORY; LOGIC DESIGN; MATHEMATICAL MODELS;

DEDUCTIVE VERIFICATION; MODEL CHECKING; REACTIVE SYSTEMS;

FORMAL LOGIC;

EID: 0032638673     PISSN: 09259856     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008791913551     Document Type: Article

References (44)

1. G. Bhat, R. Cleaveland, and O. Grumberg, "Efficient on-the-fly model checking for CTL*," in Proc. 10th IEEE Symp. Logic in Comp. Sci., pp. 388-397, 1995.
2. N.S. Bjørner, A. Browne, E. Chang, M. Colón, A. Kapur, Z. Manna, H.B. Sipma, and T.E. Uribe, "STeP: Deductive-algorithmic verification of reactive and real-time systems," in Proc. 8th Intl. Conference on Computer Aided Verification, volume 1102 of LNCS, Springer-Verlag, pp. 415-418, July 1996.
3. N.S. Bjørner, A. Browne, and Z. Manna, "Automatic generation of invariants and intermediate assertions," Theor. Comp. Sci., Vol. 173, No. 1, pp. 49-87, 1997.
4. N.S. Bjørner, M.E. Stickel, and T.E. Uribe, "A practical combination of first-order reasoning and decision procedures," in 14th Intl. Conference on Automated Deduction, volume 1249 of LNCS, Springer-Verlag, pp. 101-115, July 1997.
5. A. Bouajjani, J.-C. Fernandez, and N. Halbwachs, "Minimal model generation," in Proc. 2nd Intl. Conference on Computer Aided Verification, volume 531 of LNCS, pp. 197-203, 1990.
6. J.C. Bradfield, Verifying Temporal Properties of Systems, Birkhäuser, 1992.
7. A. Browne, Z. Manna, and H.B. Sipma, "Generalized temporal verification diagrams," in 15th Conference on the Foundations of Software Technology and Theoretical Computer Science, volume 1026 of LNCS, Springer-Verlag, pp. 484-498, 1995.
8. A. Browne, Z. Manna, and H.B. Sipma, "Hierarchical verification using verification diagrams," in 2nd Asian Computing Science Conf., volume 1179 of LNCS, Springer-Verlag, pp. 276-286, Dec. 1996.
9. R.E. Bryant, "Graph-based algorithms for Boolean function manipulation," IEEE Transactions on Computers, Vol. C-35, No. 8, pp. 677-691, Aug. 1986.
10. 20 states and beyond," in Proc. 5th IEEE Symp. Logic in Comp. Sci., IEEE Computer Society Press, pp. 428-439, 1990.
11. A.K. Chandra, V.S. Iyengar, R.V. Jawalekar, M.P. Mullen, I. Nair, and B.K. Rosen, "Architectural verification of processors using symbolic instruction graphs," in Intl. Conference on Computer Design: VLSI in Computers and Processors, IEEE Press, pp. 454-459, 1994.
12. E.M. Clarke and E.A. Emerson, "Design and synthesis of synchronization skeletons using branching time temporal logic," in Proc. IBM Workshop on Logics of Programs, volume 131 of LNCS, Springer-Verlag, pp. 52-71, 1981.
13. P. Cousot and R. Cousot, "Abstract interpretation: A unified lattice model for static analysis of programs by construction or approximation of fixpoints," in 4th ACM Symp. Princ. of Prog. Lang., ACM Press, pp. 238-252, 1977.
14. W. Damm, O. Grümberg, and H. Hungar, "What if model checking must be truly symbolic," in First Intl. Workshop on Tools and Algorithms for the Construction and Analysis of Systems (TACAS 95), volume 1019 of LNCS, Springer-Verlag, pp. 230-244, May 1995.
15. D.R. Dams, "Abstract interpretation and partition refinement for model checking," Ph.D. thesis, Eindhoven University of Technology, Eindhoven, July 1996.
16. D.R. Dams, R. Gerth, G. Döhmen, R. Herrmann, P. Kelb, and H. Pargmann, "Model checking using adaptive state and data abstraction," in Proc. 6th Intl. Conference on Computer Aided Verification, volume 818 of LNCS, Springer-Verlag, pp. 455-467, June 1994.
17. D. Dams, R. Gerth, and O. Grümberg, "Abstract interpretation of reactive systems," ACM Transactions on Programming Languages and Systems, Vol. 19, No. 2, pp. 253-291, 1997.
18. D.R. Dams, O. Grümberg, and R. Gerth, "Generation of reduced models for checking fragments of CTL," in Proc. 5th Intl. Conference on Computer Aided Verification, volume 697 of LNCS, Springer-Verlag, pp. 479-490, June 1993.
19. L. de Alfaro and Z. Manna, "Temporal verification by diagram transformations," in Proc. 8th Intl. Conference on Computer Aided Verification, volume 1102 of LNCS, pp. 287-299, July 1996.
20. L. de Alfaro, Z. Manna, H.B. Sipma, and T.E. Uribe, "Visual verification of reactive systems," in Third Intl. Workshop on Tools and Algorithms for the Construction and Analysis of Systems (TACAS 97), volume 1217 of LNCS, Springer-Verlag, pp. 334-350, April 1997.
21. J. Dingel and T. Filkorn, "Model checking of infinite-state systems using data abstraction, assumption-commitment style reasoning and theorem proving," in Proc. 7th Intl. Conference on Computer Aided Verification, volume 939 of LNCS, pp. 54-69, July 1995.
22. L. Fix and O. Grümberg, "Verification of temporal properties," J. Logic and Computation, Vol. 6, No. 3, pp. 343-362, 1996.
23. S. Graf and H. Saidi, "Construction of abstract state graphs with PVS," in Proc. 9th Intl. Conference on Computer Aided Verification, volume 1254 of LNCS, Springer-Verlag, pp. 72-83, June 1997.
24. D. Harel, "Statecharts: A visual approach to complex systems," Technical Report CS84-05, Dept. of Applied Mathematics, Weizmann Institute of Science, 1984.
25. H. Hungar, "Combining model checking and theorem proving to verify parallel processes," in Proc. 5th Intl. Conference on Computer Aided Verification, volume 697 of LNCS, Springer-Verlag, pp. 154-165, 1993.
26. J. Jaffar and J.-L. Lassez, "Constraint logic programming," in Proc. 14th ACM Symp. Princ. of Prog. Lang., pp. 111-119, Jan. 1987.
27. Y. Kesten, Z. Manna, H. McGuire, and A. Pnueli, "A decision algorithm for full propositional temporal logic," in Proc. 5th Intl. Conference on Computer Aided Verification, volume 697 of LNCS, Springer-Verlag, pp. 97-109, 1993.
28. R. Kurshan and L. Lamport, "Verification of a multiplier: 64 bits and beyond," in C. Courcoubetis, editor, Proc. 5th Intl. Conference on Computer Aided Verification, volume 697 of LNCS, Springer-Verlag, pp. 166-179, 1993.
29. L. Lamport, "A new solution of Dijkstra's concurrent programming problem," Communications of the ACM, Vol. 17, No. 8, pp. 435-455, 1974.
30. D. Lehmann, A. Pnueli, and J. Stavi, "Impartiality, justice and fairness: The ethics of concurrent termination," in Proc. 8th Int. Colloq. Aut Lang. Prog., volume 115 of LNCS, Springer-Verlag, pp. 264-277, 1981.
31. C. Loiseaux, S. Graf, J. Sifakis, A. Bouajjani, and S. Bensalem, "Property preserving abstractions for the verification of concurrent systems," Formal Methods in System Design, Vol. 6, pp. 1-35, 1995.
32. Z. Manna and A. Pnueli, "Completing the temporal picture," Theor. Comp. Sci., Vol. 83, No. 1, pp. 97-130, 1991.
33. Z. Manna and A. Pnueli, "Temporal verification diagrams," in Proc. Int. Symp. on Theoretical Aspects of Computer Software, volume 789 of LNCS, Springer-Verlag, pp. 726-765, 1994.
34. Z. Manna and A. Pnueli, Temporal Verification of Reactive Systems: Safety, Springer-Verlag, New York, 1995.
35. K.L. McMillan, Symbolic Model Checking, Kluwer Academic Pub., 1993.
36. J.S. Ostroff, "A visual toolset for the design of real-time discrete event systems," IEEE Trans. on Control Systems Technology, May 1997.
37. S. Owre, S. Rajan, J.M. Rushby, N. Shankar, and M. Srivas, "PVS: Combining specification, proof checking, and model checking," in Proc. 8th Intl. Conference on Computer Aided Verification, volume 1102 of LNCS, Springer-Verlag, pp. 411-414, July 1996.
38. A. Pnueli and E. Shahar, "A platform for combining deductive with algorithmic verification," in Proc. 8th Intl. Conference on Computer Aided Verification, volume 1102 of LNCS, Springer-Verlag, pp. 184-195, 1996.
39. J.P. Queille and J. Sifakis, "Specification and verification of concurrent systems in CESAR," in M. Dezani-Ciancaglini and U. Montanari, editors, Intl. Symposium on Programming, volume 137 of LNCS, Springer-Verlag, pp. 337-351, 1982.
40. S. Rajan, N. Shankar, and M.K. Srivas, "An integration of model checking with automated proof checking," in Proc. 7th Intl. Conference on Computer Aided Verification, volume 939 of LNCS, pp. 84-97, July 1995.
41. V.A. Saraswat, Concurrent Constraint Programming, MIT Press, 1993.
42. H.B. Sipma, T.E. Uribe, and Z. Manna, "Deductive model checking," in Proc. 8th Intl. Conference on Computer Aided Verification, volume 1102 of LNCS, Springer-Verlag, pp. 208-219, 1996.
43. O.V. Sokolsky and S.A. Smolka, "Local model checking for real-time systems," in Proc. 7th Intl. Conference on Computer Aided Verification, volume 939 of LNCS, pp. 211-224, July 1995.
44. F.A. Stomp, W.-P. de Roever, and R.T. Gerth, "The μ-calculus as an assertion language for fairness arguments," Inf. and Comp., Vol. 82, pp. 278-322, 1989.