Bigraphical Reactive Systems

  • Robin Milner
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2154)

Abstract

A notion of bigraph is introduced as a model of mobile interaction. A bigraph consists of two independent structures: a topograph representing locality and an edge net representing connectivity. Bigraphs arc equipped with reaction rules to form bigraphical reactive systems (BRSs), which include versions of the π-calculus and the ambient calculus. A behavioural theory is established, using the categorical notion of relative pushout; it allows labelled transition systems to be derived uniformly for a wide variety of BRSs, in such a way that familiar behavioural prcordcrs and equivalences, in particular bisimilarity, are congruential. An example of the derivation is discussed.

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References

  1. [1]
    Berry, G. and Boudol, G. (1992), The chemical abstract machine. Journal of Theoretical Computer Science, Vol 96, pp217 248.CrossRefMathSciNetGoogle Scholar
  2. [2]
    Cardclli, L. and Gordon, A.D. (2000), Mobile ambicnts. Foundations of System Specification and Computational Structures, LNCS 1378, pp140–155.Google Scholar
  3. [3]
    Cattani, G.L., Lcifcr, J.J. and Milncr, R. (2000), Contexts and Embcddings for closed shallow action graphs. University of Cambridge Computer Laboratory, Technical Report 496. [Submitted for publication.] Available at http://www.cam.cl.ac.uk/users/jjl21.
  4. [4]
    Gardner, P.A. (2000), From process calculi to process frameworks. Proc. CON-CUR 2000, 11th International Conference on Concurrency theory, pp69–88.Google Scholar
  5. [5]
    Gardner, P.A. and Wischik, L. (2000), Explicit fusions. Proc. MFCS 2000. LNCS 1893, pp373–383.Google Scholar
  6. [6]
    Hasegawa, M. (1999) Models of sharing graphs. Distinguished Dissertation Series, Springer-Verlag.Google Scholar
  7. [7]
    Lafont, Y. (1990), Interaction nets. Proc. 17th ACM Symposium on Principles of Programming Languages (POPL 90), pp95–108.Google Scholar
  8. [8]
    Leiter, J.J. (2001), Operational congruences for reactive systems. PhD Dissertation, University of Cambridge Computer Laboratory.Google Scholar
  9. [9]
    Leiter, J.J. and Millier, R. (2000), Deriving bisimulation congruences for reactive systems. Proc. CONCUR 2000, 11th International Conference on Concurrency theory, pp243–258. Available at http://www.cam.cl.ac.uk/users/jjl21.
  10. [10]
    Milner, R. (1996), Calculi for interaction. Acta Informatica 33, pp707–737.CrossRefMathSciNetGoogle Scholar
  11. [11]
    Milner, R. (2001), Digraphs. Forthcoming Technical Report, University of Cambridge Computer Laboratory.Google Scholar
  12. [12]
    Milncr, R., Parrow, J. and Walker D. (1992), A calculus of mobile processes. Parts I and II. Journal of Information and Computation, Vol 100, pp1–40 arid pp41–77.CrossRefGoogle Scholar
  13. [13]
    Parrow, J. and Victor, B. (1998), The fusion calculus: expressiveness and symmetry in mobile processes. Proc. LICS’98, IEEE Computer Society Press.Google Scholar
  14. [14]
    Pctri, C.A. (1962), Fundamentals of a theory of asynchronous information flow. Proc. IFIP Congress’ 62, North Holland, pp386–390.Google Scholar
  15. [15]
    Scwcll, P. (1998), From rewrite rules to bisimulation congruences. Proc CON-CUR’98, LNCS 1466, pp269 284. Full version to appear in Theoretical Computer Science, Vol 272/1-2.Google Scholar
  16. [16]
    Wojciechowski, P.T. and Sewell, P. (1999), Nomadic Pict: Language and infrastructure design for mobile agents. Proc. ASA/MA’ 99, Palm Springs, California.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Robin Milner
    • 1
  1. 1.University of Cambridge Computer LaboratoryCambridgeUK

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