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Assume-Guarantee Based Compositional Reasoning for Synchronous Timing Diagrams

  • Nina Amla
  • E. Allen Emerson
  • Kedar Namjoshi
  • Richard Trefler
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2031)

Abstract

The explosion in the number of states due to several interacting components limits the application of model checking in practice. Compositional reasoning ameliorates this problem by reducing reasoning about the entire system to reasoning about individual components. Such reasoning is often carried out in the assume-guarantee paradigm: each component guarantees certain properties based on assumptions about the other components. Naïve applications of this reasoning can be circular and, therefore, unsound. We present a new rule for assume-guarantee reasoning, which is sound and complete. We show how to apply it, in a fully automated manner, to properties specified as synchronous timing diagrams. We show that timing diagram properties have a natural decomposition into assume-guarantee pairs, and liveness restrictions that result in simple subgoals which can be checked efficiently. We have implemented our method in a timing diagram analysis tool, which carries out the compositional proof in a fully automated manner. Initial applications of this method have yielded promising results, showing substantial reductions in the space requirements for model checking.

Keywords

Model Check Timing Diagram Reachable State Liveness Property Memory Controller 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    M. Abadi and L. Lamport. Conjoining specifications. ACM Trans. on Programming Languages and Systems (TOPLAS), May 1995.Google Scholar
  2. 2.
    B. Alpern and F. Schneider. Defining liveness. Information Processing Letters, 21(4), 1985.Google Scholar
  3. 3.
    R. Alur and T. Henzinger. Reactive modules. In IEEE LICS, 1996.Google Scholar
  4. 4.
    N. Amla, E.A. Emerson, R.P. Kurshan, and K.S. Namjoshi. Model checking synchronous timing diagrams. In FMCAD, volume 1954 of LNCS, 2000.Google Scholar
  5. 5.
    Bell Laboratories, Lucent Technologies. PCI Core User’s Manual (Version 1.0). Technical report, July 1996.Google Scholar
  6. 6.
    T.H. Cormen, C.E. Leiserson, and R.L. Rivest. Introduction to Algorithms, chapter 34. MIT Press and McGraw-Hill, 1990.Google Scholar
  7. 7.
    W.P. de Roever, F. de Boer, U. Hannemann, J. Hooman, Y. Lakhnech, M. Poel, and J. Zwiers. Concurrency Verification: Introduction to Compositional and Non-compositional Proof Methods. 1999. Draft book.Google Scholar
  8. 8.
    R.H. Hardin, Z. Har’el, and R.P. Kurshan. COSPAN. In CAV, volume 1102 of LNCS, 1996.Google Scholar
  9. 9.
    J. Helbig, R. Schlor, W. Damm, G. Dohmen, and P. Kelb. VHDL/S-integrating statecharts, timing diagrams, and VHDL. Microprocessing and Microprogramming, 38, 1993.Google Scholar
  10. 10.
    B. Josko. Model checking of CTL formulae under liveness assumptions. In ICALP, volume 267 of LNCS, 1987.Google Scholar
  11. 11.
    B. Josko. Modular Specification and Verification of Reactive Systems. Universität Oldenburg, 1993.Google Scholar
  12. 12.
    K.L. McMillan. Circular compositional reasoning about liveness. In CHARME, volume 1703 of LNCS, 1999.Google Scholar
  13. 13.
    K.S. Namjoshi and R.J. Treer. On the completeness of compositional reasoning. In CAV, volume 1855 of LNCS. Springer-Verlag, 2000.Google Scholar
  14. 14.
    PCI Special Interest Group. PCI Local Bus Specification Rev 2.1. Technical report, June 1995.Google Scholar
  15. 15.
    A. Pnueli. In transition from global to modular reasoning about programs. In Logics and Models of Concurrent Systems, NATO ASI Series, 1985.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Nina Amla
    • 1
  • E. Allen Emerson
    • 1
  • Kedar Namjoshi
  • Richard Trefler
  1. 1.Department of Computer SciencesUniversity of Texas at Austin

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