An Executable Semantics of Object-oriented Models for Simulation and Theorem Proving

Kenro Yatake, Takuya Katayama

Abstract

This paper presents an executable semantics of OO models. We made it possible to conduct both simulation and theorem proving on the semantics by implementing its underlying heap memory structure within the expressive intersection of the functional language ML and the theorem prover HOL. This paper also presents a verification system ObjectLogic which supports simulation and theorem proving of OO models based on the executable semantics. As an application example, we show a verification of a UML model of a practical firewall system.

References

  1. OMG. Unified Modeling Language. URL: http://www.omg.org/.
  2. The HOL system. URL: http://hol.sourceforge.net/.
  3. Moscow ML. URL: http://www.dina.dk/ sestoft/mosml.html.
  4. J. Warmer and A. Kleppe. The Object Constraint Language: precise modeling with UML. Addison-Wesley, 1999.
  5. Tobias Nipkow, David von Oheimb and Cornelia Pusch. µJava: Embedding a Programming Language in a Theorem Prover. In Foundations of Secure Computation. IOS Press, 2000.
  6. Gerwin Klein et al. Bali project, http://isabelle.in.tum.de/Bali/
  7. G. Barthe, G. Dufay, L. Jakubiec, S. Melo de Sousa, and B. Serpette. A Formal Executable Semantics of the JavaCard Platform. In D. Sands, editor, Proceedings of ESOP'01, http://citeseer.ist.psu.edu/470034.html
  8. P. S. Rajan. Executing HOL specifications: Towards an evaluation semantics for classical higher order logic. In L. J. M. Claesen and M. J. C. Gordon, editors, Higher order Logic Theorem Proving and its Applications, Leuven, Belgium, September 1992. Elsevier.
  9. S. Berghofer and T. Nipkow. Executing Higher Order Logic. In P. Callaghan, Z. Luo, J. McKinna, and R. Pollack, editors, Types for Proofs and Programs (TYPES 2000), volume 2277 of LNCS. Springer-Verlag, 2002.
  10. J. van den Berg, M. Huisman, B. Jacobs, and E. Poll. A type-theoretic memory model for verification of sequential Java programs. Techn. Rep. CSI-R9924, Comput. Sci. Inst., Univ. of Nijmegen, 1999.
  11. Claude Marché and Christine Paulin-Mohring. Reasoning on Java programs with aliasing and frame conditions. In 18th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2005), LNCS, August 2005.
  12. Demissie B. Aredo. A Framework for Semantics of UML Sequence Diagrams in PVS. Journal of Universal Computer Science (JUCS), 8(7), pp. 674-697, July 2002.
  13. A. D. Brucker and B. Wolff. A proposal for a formal OCL semantics in Isabelle/HOL. TPHOLs 2002, LNCS 2410, pp.99-114, 2002.
  14. G. Al Sammane, J. Schmaltz, D. Toma, P. Ostier, D. Borrione. Theosim: Combining Symbolic Simulation and Theorem Proving for Hardware Verification. Proc. of the 17th Symposium on Integrated Circuits and System Design (SBCCI'04), 2004.
  15. Matthew Wilding, David Greve, David Hardin, Efficient Simulation of Formal Processor Models, Formal Methods in Systems Design, 18(3), Kluwer Academic Publishers, May 2001.
  16. Kenro Yatake, Toshiaki Aoki and Takuya Katayama. Implementing application-specific Object-Oriented theories in HOL. In Proceedings of the 2nd International Conference on Theoretical Aspects of Computing (ICTAC'05), pp.501-516, 2005.
Download


Paper Citation


in Harvard Style

Yatake K. and Katayama T. (2008). An Executable Semantics of Object-oriented Models for Simulation and Theorem Proving . In Proceedings of the 6th International Workshop on Modelling, Simulation, Verification and Validation of Enterprise Information Systems - Volume 1: MSVVEIS, (ICEIS 2008) ISBN 978-989-8111-43-2, pages 71-80. DOI: 10.5220/0001732500710080


in Bibtex Style

@conference{msvveis08,
author={Kenro Yatake and Takuya Katayama},
title={An Executable Semantics of Object-oriented Models for Simulation and Theorem Proving},
booktitle={Proceedings of the 6th International Workshop on Modelling, Simulation, Verification and Validation of Enterprise Information Systems - Volume 1: MSVVEIS, (ICEIS 2008)},
year={2008},
pages={71-80},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001732500710080},
isbn={978-989-8111-43-2},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 6th International Workshop on Modelling, Simulation, Verification and Validation of Enterprise Information Systems - Volume 1: MSVVEIS, (ICEIS 2008)
TI - An Executable Semantics of Object-oriented Models for Simulation and Theorem Proving
SN - 978-989-8111-43-2
AU - Yatake K.
AU - Katayama T.
PY - 2008
SP - 71
EP - 80
DO - 10.5220/0001732500710080