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Barbed Congruence of Asymmetry and Mismatch

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Abstract

The χ calculus is a model of concurrent and mobile systems. It emphasizes that communications are information exchanges. In the paper, two constructions are incorporated into the framework of the chi calculus, which are asymmetric communication and mismatch condition widely used in applications. Since the barbed bisimilarity has proved its generality and gained its popularity as an effective approach to generating a reasonable observational equivalence, we study both the operational and algebraic properties of the barbed bisimilarity in this enriched calculus. The investigation supports an improved understanding of the bisimulation behaviors of the model. It also gives a general picture of how the two constructions affect the observational theory.

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References

  1. Fu Y. A proof theoretical approach to communications. In Proc. Int. Colloquium on Automata, Languages and Programming, LNCS 1256, Bologna, Italy, 1997, pp.325–335.

  2. Fu Y. Reaction graphs. Journal of Computer Science and Technology, 1998, 13(6): 510–530.

    Article  MATH  MathSciNet  Google Scholar 

  3. Victor B, Parrow J. Concurrent constraints in the fusion calculus. In Proc. Int. Colloquium on Automata, Languages and Programming, Aalborg, Denmark, 1998, pp.455–469.

  4. Parrow J, Victor B. The tau-laws of fusion. In Proc. Int. Conf. Concurrency Theory, LNCS 1466, Nice, France, 1998, pp.99–114.

  5. Fu Y. Bisimulation lattice of chi processes. In Proc. ASIAN, Pisa, Italy, 1996, pp.245–262.

  6. Fu Y. Variations on mobile processes. Theoretical Computer Science, 1999, 221(1/2): 327–368.

    Article  MATH  MathSciNet  Google Scholar 

  7. Fu Y. Bisimulation congruence of chi calculus. Information and Computation, 2003, 184(1): 201–226.

    Article  MATH  MathSciNet  Google Scholar 

  8. Parrow J, Victor B. The update calculus. In Proc. Int. Colloquium on Automata, Languages and Programming, LNCS 1119, Manila, The Philippines, 1998, pp.389–405.

  9. Fu Y. Open bisimulations of chi processes. In Proc. Int. Colloquium on Automata, Languages and Programming, LNCS 1664, Eindhoven, The Netherlands, 1999, pp.304–319.

  10. Fu Y, Yang Z. Chi calculus with mismatch. In Proc. Int. Colloquium on Automata, Languages and Programming, LNCS 1877, University Park, PA, USA, 2000, pp.596–610.

  11. Fu Y, Yang Z. Understanding the mismatch combinator in chi calculus. Theoretical Computer Science, 2003, 290(1): 779–830.

    Article  MATH  MathSciNet  Google Scholar 

  12. Dong X. Algebraic theory of asymmetric chi calculus with mismatch [Dissertation]. Shanghai Jiao Tong Univ., China, 2004.

  13. Milner R, Sangiorgi D. Barbed bisimulation. In Proc. Automata, Languages and Programming, Wien, Austria, 1992, pp.685–695.

  14. Milner R. Communication and Concurrency. New York: Prentice Hall, 1989.

    MATH  Google Scholar 

  15. Fu Y, Yang Z. Tau laws for pi calculus. Theoretical Computer Science, 2003, 308(1–3): 55–130.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. BASICS, Department of Computer Science, Shanghai Jiao Tong University, Shanghai, 200240, China

    Xiao-Ju Dong & Yu-Xi Fu

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  1. Xiao-Ju Dong
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  2. Yu-Xi Fu
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Correspondence to Xiao-Ju Dong.

Additional information

Supported by the National Grand Fundamental Research 973 Program of China under Grant No. 2003CB317005, the National Natural Science Foundation of China under Grant No. 60473006, and the National Research Foundation for the Doctoral Program of Education of China under Grant No. 20010248033.

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Dong, XJ., Fu, YX. Barbed Congruence of Asymmetry and Mismatch. J Comput Sci Technol 22, 575–579 (2007). https://doi.org/10.1007/s11390-007-9063-1

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  • DOI: https://doi.org/10.1007/s11390-007-9063-1

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