Abstract
The formal specification language Z is used to specify transformational programs. We show in analogy to [2] that specifying concurrent systems in Z means conjoining the individual specifications and defining the input-output relations for the processes. The TLA approach to fairness is adapted to define liveness conditions for concurrent systems. Machine closure of the specifications will be proved. As a case study we apply our framework to the Bakery Algorithm where a complete Z specification and a correctness proof are presented.
Preview
Unable to display preview. Download preview PDF.
References
Martin Abadi and Leslie Lamport. The Existence of Refinement Mappings. In Proceedings of the 3rd Annual Symposium on Logic in Computer Science, p. 165–175. IEEE, 1988.
M. Abadi and L. Lamport. Conjoining Specifications. Digital Technical Report. December 7, 1993.
E. Börger and Y. Gurevich and D. Rosenzweig. The Bakery Algorithm: Yet another specification and verification. To appear in: E. Börger (Ed.). Specification and Validation Methods. Oxford University Press. 1995.
R. Duke and G. Smith. Temporal logic and Z specifications. The Australian Computer Journal, 21(2):62–66,1989.
I. Houston and M. Josephs. Specifying distributed CICS in Z; accessing local and remote resources. Formal Aspects of Computing, 6(6),1994.
L. Lamport. A new Approach to Proving the Correctness of Multiprocess Programs. ACM Transactions on Programming Languages and Systems, vol.1.1, July 1979, 84–97.
L. Lamport. The temporal logic of actions. ACM Transactions on Programming Languages and Systems, 16(3):872–923, 1994.
L. Lamport. TLZ. In J. Bowen and A. Hall, editors, Proceedings of the 1994 Z User Workshop, 267–268, Springer Verlag, 1994
Z. Manna and A. Pnueli. The temporal logic of reactive and concurrent systems. Springer Verlag, 1992.
J.M. Spivey. The Z Notation: A Reference Manual. Prentive-Hall, second edition, 1992.
B. Sufrin and He Jifeng. Specification, analysis and refinement of interactive processes. In M. Harrison and H. Thimbleby, editors, Formal Methods in Human-Computer Interaction, volume 2, chapter 6, 153–200. Cambridge University Press, 1990.
K.T. Narayana and S. Dharap. Invariant properties in a dialog system. ACM SIGSOFT Software Engineering Notes, 15(4), 67–79, 1990
J.C.P. Woodcock. The rudiments of algorithm refinement. The Computer Journal, 35(5):441–450, 1992.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1995 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Baumann, P., Lermer, K. (1995). A framework for the specification of reactive and concurrent systems in Z. In: Thiagarajan, P.S. (eds) Foundations of Software Technology and Theoretical Computer Science. FSTTCS 1995. Lecture Notes in Computer Science, vol 1026. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60692-0_41
Download citation
DOI: https://doi.org/10.1007/3-540-60692-0_41
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-60692-5
Online ISBN: 978-3-540-49263-4
eBook Packages: Springer Book Archive