[go: up one dir, main page]
Skip to main content
Springer Nature Link
Log in

Refinement of actions in causality based models

  • Technical Contributions
  • Conference paper
  • First Online:
Stepwise Refinement of Distributed Systems Models, Formalisms, Correctness (REX 1989)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 430))

  • 267 Accesses

Abstract

We consider an operator for refinement of actions to be used in the design of concurrent systems. Actions on a given level of abstraction are replaced by more complicated processes on a lower level. This is done in such a way that the behaviour of the refined system may be inferred compositionally from the behaviour of the original system and from the behaviour of the processes substituted for actions. We define this refinement operation for causality based models like event structures and Petri nets. For Petri nets, we relate it to other approaches for refining transitions.

Contributed in part to Esprit Basic Research Action 3148 (DEMON).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. L. Aceto, M. Hennessy: Towards Action-Refinement in Process Algebras, in: Proc. LICS'89, Asilomar, California, IEEE Computer Society Press, Washington, pp 138–145, 1989

    Google Scholar 

  2. J.A. Bergstra, J.V. Tucker: Top-down Design and the Algebra of Communicating Processes, Science of Computer Programming 5, pp 171–199, 1985

    Google Scholar 

  3. E. Best, R. Devillers, A. Kiehn, L. Pomello: Fully Concurrent Bisimulation, unpublished, 1989

    Google Scholar 

  4. G. Boudol: Atomic Actions (Note), Bulletin of the EATCS 38, pp 136–144, 1989

    Google Scholar 

  5. G. Boudol: Computations of Distributed Systems, Part 1: Flow Event structures and Flow Nets, report INRIA Sophia Antipolis, to appear

    Google Scholar 

  6. G. Boudol, I. Castellani: Permutation of Transitions: An Event Structure Semantics for CCS and SCCS, in: Linear Time, Branching Time and Partial Order in Logics and Models for Concurrency, LNCS 354, Springer-Verlag, pp 411–427, 1989

    Google Scholar 

  7. L. Castellano, G. De Michelis, L. Pomello: Concurrency vs Interleaving: An Instructive Example, Bulletin of the EATCS 31, pp 12–15, 1987

    Google Scholar 

  8. J. Desel, A. Merceron: Vicinity Respecting Net Morphisms, in: Advances in Petri Nets 89, LNCS, Springer-Verlag, to appear

    Google Scholar 

  9. H.J. Genrich, E. Stankiewicy-Wiechno: A Dictionary of some Basic Notions of Net Theory, in: Net Theory and Applications, LNCS 84, Springer-Verlag, pp 519–535, 1979

    Google Scholar 

  10. J.L. Gischer: The Equational Theory of Pomsets, Theoretical Computer Science 61, pp 199–224, 1988

    Article  Google Scholar 

  11. R.J. van Glabbeek: The Refinement Theorem for ST-Bisimulation Semantics, Report, Centrum voor Wiskunde en Informatica, Amsterdam 1990; to appear in: Proceedings IFIP Working Conference Programming Concepts and Methodes, Israel at sea Gallilee 1990

    Google Scholar 

  12. R.J. van Glabbeek, U. Goltz: Equivalence Notions for Concurrent Systems and Refinement of Actions, Arbeitspapiere der GMD 366, February 1989, Extended Abstract in Proc. MFCS 89, LNCS 379, Springer-Verlag, pp 237–248, 1989

    Google Scholar 

  13. R.J. van Glabbeek, F.W. Vaandrager: Petri Net Models for Algebraic Theories of Concurrency, Proc. PARLE, Vol. II, LNCS 259, Springer-Verlag, pp 224–242, 1987

    Google Scholar 

  14. R.J. van Glabbeek, W.P. Weijland: Refinement in Branching Time Semantics, Report CSR8922, Centrum voor Wiskunde en Informatica, Amsterdam 1989; in: J.W. de Bakker, 25 jaar semantiek, liber amicorum, Centrum voor Wiskunde en Informatica, Amsterdam 1989, pp 247–252; and in: Proceedings AMAST Conference, Iowa City, USA, 1989, pp 197–201

    Google Scholar 

  15. R. Gorrieri, S. Marchetti, U. Montanari: A 2 CCS: A Simple Extension of CCS for Handling Atomic Actions in: Proc. CAAP'88, LNCS 299, Springer-Verlag, 1988

    Google Scholar 

  16. E.P. Gribomont: Stepwise Refinement and Concurrency: A Small Exercise, in: Mathematics of Program Construction, LNCS 375, Springer-Verlag, pp 219–238, 1989

    Google Scholar 

  17. W. Korczyński: An Algebraic Characterization of Concurrent Systems, Fundamenta Informaticae, Vol.11, No. 2, pp 171–194, 1988

    Google Scholar 

  18. R. Milner: A Calculus of Communicating Systems, LNCS 92, Springer-Verlag, 1980

    Google Scholar 

  19. J. Meseger, U. Montanari: Petri Nets are Monoids, in: Proc. LICS '88, Edinburgh, 1988

    Google Scholar 

  20. M. Nielsen, U. Engberg, K.S. Larsen: Fully Abstract Models for a Process Language with Refinement, in Linear Time, Branching Time and Partial Order in Logics and Models for Concurrency, LNCS 354, Springer-Verlag, pp 523–548, 1989

    Google Scholar 

  21. M. Nielsen, G.D. Plotkin, G. Winskel: Petri Nets, Event Structures and Domains, Part I, Theoretical Computer Science, Vol. 13, No. 1, pp 85–108, 1981

    Article  Google Scholar 

  22. C.A. Petri: Non-Sequential Processes, Interner Bericht 77-05, GMD, Institut für Informationssystemforschung, 1977

    Google Scholar 

  23. V.R. Pratt: Modelling Concurrency with Partial Orders, International Journal of Parallel Programming, Vol. 15, No. 1, pp 33–71, 1986

    Article  Google Scholar 

  24. W. Reisig: Petri Nets, EATCS Monographs on Theoretical Computer Science 4, Springer-Verlag, 1985

    Google Scholar 

  25. W. Reisig: Petri Nets in Software Engineering, in: Petri Nets: Applications and Relationships to other Models of Concurrency, LNCS 255, Springer-Verlag, pp 63–96, 1987

    Google Scholar 

  26. I. Suzuki, T. Murata: A Method for Stepwise Refinement and Abstraction of Petri Nets, Journal of Computer and System Sciences, Vol. 27, No. 1, pp 51–76, 1983

    Google Scholar 

  27. R. Valette: Analysis of Petri Nets by Stepwise Refinements, Journal of Computer and System Sciences, Vol. 18, pp 35–46, 1979

    Google Scholar 

  28. W. Vogler: Behaviour Preserving Refinements of Petri Nets, in: Proc. 12th Int. Workshop on Graph Theoretic Concepts in Computer Science, LNCS 246, Springer-Verlag, pp 82–93, 1987

    Google Scholar 

  29. W. Vogler: Failure Semantics Based on Interval Semiwords is a Congruence for Refinement, in Proc. STACS'90, LNCS, Springer-Verlag, to appear

    Google Scholar 

  30. G. Winskel: Event Structures, in: Petri Nets: Applications and Relationships to Other Models of Concurrency, LNCS 255, Springer-Verlag, pp 325–392, 1987

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB, Amsterdam, The Netherlands

    Rob van Glabbeek

  2. Gesellschaft für Mathematik und Datenverarbeitung, Postfach 1240, D-5205, Sankt Augustin 1, Federal Republic of Germany

    Ursula Goltz

Authors
  1. Rob van Glabbeek
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ursula Goltz
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

J. W. de Bakker W. -P. de Roever G. Rozenberg

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

van Glabbeek, R., Goltz, U. (1990). Refinement of actions in causality based models. In: de Bakker, J.W., de Roever, W.P., Rozenberg, G. (eds) Stepwise Refinement of Distributed Systems Models, Formalisms, Correctness. REX 1989. Lecture Notes in Computer Science, vol 430. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-52559-9_68

Download citation

  • DOI: https://doi.org/10.1007/3-540-52559-9_68

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52559-2

  • Online ISBN: 978-3-540-47035-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation