Skip to main content

Symbolic Semantics for Multiparty Interactions in the Link-Calculus

  • Conference paper
  • First Online:
Book cover SOFSEM 2017: Theory and Practice of Computer Science (SOFSEM 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10139))

Abstract

The link-calculus is a model for concurrency that extends the point-to-point communication discipline of Milner’s CCS with multiparty interactions. Links are used to build chains describing how information flows among the different agents participating in a multiparty interaction. The inherent non-determinism in deciding both, the number of participants in an interaction and how they synchronize, makes it difficult to devise efficient verification techniques for this language. In this paper we propose a symbolic semantics and a symbolic bisimulation for the link-calculus which are more amenable to automating reasoning. Unlike the operational semantics of the link-calculus, the symbolic semantics is finitely branching and it represents, compactly, a possibly infinite number of transitions. We give necessary and sufficient conditions to efficiently check the validity of symbolic configurations. We also implement an interpreter based on this semantics and we show how to use such implementation for verification.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Bodei, C., Brodo, L., Bruni, R.: Open multiparty interaction. In: Martí-Oliet, N., Palomino, M. (eds.) WADT 2012. LNCS, vol. 7841, pp. 1–23. Springer, Heidelberg (2013). doi:10.1007/978-3-642-37635-1_1

    Chapter  Google Scholar 

  2. Bodei, C., Brodo, L., Bruni, R., Chiarugi, D.: A flat process calculus for nested membrane interactions. Sci. Ann. Comp. Sci. 24(1), 91–136 (2014)

    MathSciNet  Google Scholar 

  3. Calder, M., Shankland, C.: A symbolic semantics and bisimulation for full LOTOS. In: Kim, M., Chin, B., Kang, S., Lee, D. (eds.) IFIP Conference Proceedings, FORTE, vol. 197, pp. 185–200. Kluwer (2001)

    Google Scholar 

  4. Gorrieri, R., Versari, C.: Introduction to Concurrency Theory - Transition Systems and CCS. Texts in Theoretical Computer Science. An EATCS Series. Springer, Cham (2015)

    Book  MATH  Google Scholar 

  5. Hennessy, M., Lin, H.: Symbolic bisimulations. Theor. Comput. Sci. 138(2), 353–389 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  6. Hillston, J.: A Compositional Approach to Performance Modelling. Cambridge University Press, New York (1996)

    Book  MATH  Google Scholar 

  7. Hoare, C.A.R.: Communicating Sequential Processes. Prentice-Hall Inc, Upper Saddle River (1985)

    MATH  Google Scholar 

  8. Lehmann, D.J., Rabin, M.O.: On the advantages of free choice: a symmetric and fully distributed solution to the dining philosophers problem. In: White, J., Lipton, R.J., Goldberg, P.C. (eds.) POPL, pp. 133–138. ACM Press (1981)

    Google Scholar 

  9. Milner, R.: A Calculus of Communicating Systems. LNCS, vol. 92. Springer, Heidelberg (1980)

    MATH  Google Scholar 

  10. Montanari, U., Sammartino, M.: Network conscious pi-calculus: a concurrent semantics. In: Proceedings of Mathematical Foundations of Programming Semantics (MFPS), Electronic Notes in Theoretical Computer Science, vol. 286, pp. 291–306. Elsevier (2012)

    Google Scholar 

  11. Nestmann, U.: On the expressive power of joint input. Electron. Notes Theor. Comput. Sci. 16(2), 145–152 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  12. Verdejo, A.: Building tools for LOTOS symbolic semantics in maude. In: Peled, D.A., Vardi, M.Y. (eds.) FORTE 2002. LNCS, vol. 2529, pp. 292–307. Springer, Heidelberg (2002). doi:10.1007/3-540-36135-9_19

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Carlos Olarte .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Brodo, L., Olarte, C. (2017). Symbolic Semantics for Multiparty Interactions in the Link-Calculus. In: Steffen, B., Baier, C., van den Brand, M., Eder, J., Hinchey, M., Margaria, T. (eds) SOFSEM 2017: Theory and Practice of Computer Science. SOFSEM 2017. Lecture Notes in Computer Science(), vol 10139. Springer, Cham. https://doi.org/10.1007/978-3-319-51963-0_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-51963-0_6

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-51962-3

  • Online ISBN: 978-3-319-51963-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics