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Games I/O automata play

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  • Conference paper
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CONCUR '92 (CONCUR 1992)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 630))

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Abstract

We introduce a game approach for specifying reactive systems. In particular, we define a simple two-player game between System and Environment, and consider the outcomes of such a game as a specification of a reactive system. We introduce six classes of game languages. We then show that the class of languages generated by I/O automata equals one of our game classes. An immediate corollary to the proof is that the fairness condition of I/O automata, which is defined as an extrinsic property by Lynch and Tuttle, can be incorporated as an intrinsic part of the automata. We also show closure properties of the six game classes. For example, we show that the class of languages defined by I/O automata is closed under union and hiding but not under intersection or complementation. The closure results are obtained by reasoning directly about games, thus demonstrating the advantage of the game-based approach.

This work was supported in part by the National Science Foundation under grants CCR-8910289, IRI-9015570, and CCR-8958528, by the Air Force under grant AFOSR-890382(G), and by an IBM graduate fellowship.

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References

  1. M. Abadi and L. Lamport. Composing specifications. Research Report 66, DEC SRC, October 1990.

    Google Scholar 

  2. J.A. Bergstra and J.W. Klop. Process theory based on bisimulation semantics. In LNCS 345, 1989.

    Google Scholar 

  3. B. Bloom. Constructing two-writer atomic registers. In Proc. 6th ACM Symp. on Principles of Distributed Computing, pages 249–259, 1987.

    Google Scholar 

  4. M. Broy, F. Dederichs, C. Dendorfer, and R. Weber. Characterizing the behavior of reactive systems by trace sets (extended abstract). In Third Workshop on Concurrency and Compositionality, March 1991.

    Google Scholar 

  5. A. Fekete, N. Lynch, M. Merritt, and W. Weihl. Commutativity-based locking for nested transactions. Journal of Computer and System Science. to appear.

    Google Scholar 

  6. A. Fekete, N. Lynch, and L. Shrira. A Modular Proof of Correctness for a Network Synchronizer, volume 312 of Lecture Notes in Computer Science, pages 219–256. Springer-Verlag, Amsterdam, Netherlands, July 1987.

    Google Scholar 

  7. J. Y. Halpern and R. Fagin. Modeling knowledge and action in distributed systems. Technical Report, IBM, RJ6303, 1988.

    Google Scholar 

  8. J. Y. Halpern and L. D. Zuck, A little knowledge goes a long way: Simple knowledgebased derivations and correctness proofs for a family of protocols. In Proc. 6th ACM Symp. on Principles of Distributed Computing, pages 269–280, 1987. To appear in JACM.

    Google Scholar 

  9. D. Harel. Statecharts: A visual formalism for complex systems. Science of Computer Programming, 8(33):231–278, 6 1987.

    Article  MATH  MathSciNet  Google Scholar 

  10. M. Hennessy. Algebraic Theory of Process. MIT Press, 1988.

    Google Scholar 

  11. M. Herlihy. Impossibility and universality results for wait-free synchronization. In Proc. 7th ACM Symp. on Principles of Distributed Computing, pages 276–290, 1988.

    Google Scholar 

  12. C.A.R. Hoare. Communicating Sequential Process. Prentice-Hall, 1985.

    Google Scholar 

  13. L. Lamport. Specifying concurrent program modules. ACM Trans. on Programming Languages and Systems, 5(2):190–222, 4 1983.

    Article  MATH  Google Scholar 

  14. N. Lynch and M. Tuttle. An introduction to input/output automata. CWI Quarterly, 2(3):219–246, September 1989.

    MATH  MathSciNet  Google Scholar 

  15. N. A. Lynch, Y. Mansour, and A. Fekete. Data link layer: Two impossibility results. In Proc. 7th ACM Symp. on Principles of Distributed Computing, pages 149–170, August 1988.

    Google Scholar 

  16. N. A. Lynch and M. R. Tuttle. Hierarchical correctness proofs for distributed algorithms. In Proc. 6th ACM Symp. on Principles of Distributed Computing, pages 137–151, August 1987.

    Google Scholar 

  17. Z. Manna and A. Pnueli. The anchored version of temporal logic. In LNCS 354, pages 201–284, 1989.

    MATH  MathSciNet  Google Scholar 

  18. R. Milner. Concurrency and Communication. Prentice-Hall, 1989.

    Google Scholar 

  19. Y. N. Moschovakis. A game-theoretic modeling of concurrency. In Proc. of the 4th annual Symp. on Logic in Computer Science, pages 154–163. IEEE Computer Society Press, 1989.

    Google Scholar 

  20. Y. N. Moschovakis. Computable processes. In Proc. 18th ACM Symp. on Principles of Programming Languages, pages 72–80. IEEE Computer Society Press, 1990.

    Google Scholar 

  21. D.-W. Wang and L. D. Zuck. Real-time sequence transmission problem. In Proc. 10th ACM Symp. on Principles of Distributed Computing, August 1991.

    Google Scholar 

  22. D.-W. Wang, L. D. Zuck, and Nick Reingold. The power of I/O automata. Unpublished manuscript, December 1990.

    Google Scholar 

  23. J. Welch, L. Lamport, and N. Lynch. A lattice-structured proof of a minimum spanning tree algorithm. In Proc. 7th ACM Symp. on Principles of Distributed Computing, pages 28–43, August 1988.

    Google Scholar 

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Authors and Affiliations

  1. Department of Computer Science, Yale University, USA

    Nick Reingold & Lenore D. Zuck

  2. Department of Computer Science, University of Delaware, USA

    Da -Wei Wang

Authors
  1. Nick Reingold
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  2. Da -Wei Wang
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  3. Lenore D. Zuck
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W.R. Cleaveland

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© 1992 Springer-Verlag Berlin Heidelberg

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Reingold, N., Wang, D.W., Zuck, L.D. (1992). Games I/O automata play. In: Cleaveland, W. (eds) CONCUR '92. CONCUR 1992. Lecture Notes in Computer Science, vol 630. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0084801

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  • DOI: https://doi.org/10.1007/BFb0084801

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55822-4

  • Online ISBN: 978-3-540-47293-3

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