Skip to main content

Full Abstraction for HOPLA

  • Conference paper
CONCUR 2003 - Concurrency Theory (CONCUR 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2761))

Included in the following conference series:

Abstract

A fully abstract denotational semantics for the higher-order process language HOPLA is presented. It characterises contextual and logical equivalence, the latter linking up with simulation. The semantics is a clean, domain-theoretic description of processes as downwards-closed sets of computation paths: the operations of HOPLA arise as syntactic encodings of canonical constructions on such sets; full abstraction is a direct consequence of expressiveness with respect to computation paths; and simple proofs of soundness and adequacy shows correspondence between the denotational and operational semantics.

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Benton, P.N.: A mixed linear and non-linear logic: proofs, terms and models (extended abstract). In: Pacholski, L., Tiuryn, J. (eds.) CSL 1994. LNCS, vol. 933. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  2. Bräuner, T.: An Axiomatic Approach to Adequacy. Ph.D. Dissertation, University of Aarhus, BRICS Dissertation Series DS-96-4 (1996)

    Google Scholar 

  3. Cardelli, L., Gordon, A.D.: Anytime, anywhere: modal logics for mobile ambients. In: Proc. POPL 2000 (2000)

    Google Scholar 

  4. Cattani, G.L., Winskel, G.: Profunctors, open maps and bisimulation. Manuscript (2000)

    Google Scholar 

  5. Girard, J.-Y.: Linear logic. Theoretical Computer Science 50(1), 1–102 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  6. Gordon, A.D.: Bisimilarity as a theory of functional programming. In: Proc. MFPS 1995. ENTCS 1 (1995)

    Google Scholar 

  7. Hennessy, M.C.B., Plotkin, G.D.: Full abstraction for a simple parallel programming language. In: Becvar, J. (ed.) MFCS 1979. LNCS, vol. 74. Springer, Heidelberg (1979)

    Google Scholar 

  8. Hennessy, M., Milner, R.: Algebraic laws for nondeterminism and concurrency. Journal of the ACM 32(1), 137–161 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  9. Hennessy, M.: A fully abstract denotational model for higher-order processes. Information and Computation 112(1), 55–95 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  10. Hoare, C.A.R.: A Model for Communicating Sequential Processes. Technical monograph, PRG-22, University of Oxford Computing Laboratory (1981)

    Google Scholar 

  11. Joyal, A., Nielsen, M., Winskel, G.: Bisimulation from open maps. Information and Computation 127, 164–185 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  12. Larsen, K.G., Winskel, G.: Using information systems to solve recursive domain equations effectively. In: Plotkin, G., MacQueen, D.B., Kahn, G. (eds.) Semantics of Data Types 1984. LNCS, vol. 173. Springer, Heidelberg (1984)

    Google Scholar 

  13. Melliès, P.-A.: Categorical models of linear logic revisited. Theoretical Computer Science (2002) (submitted to)

    Google Scholar 

  14. Milner, R., Parrow, J., Walker, D.: A calculus of mobile processes, parts I and II. Information and Computation 100(1), 1–77 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  15. Morris, J.H.: Lambda-Calculus Models of Programming Languages. PhD thesis, MIT (1968)

    Google Scholar 

  16. Nielsen, M., Plotkin, G., Winskel, G.: Petri nets, event structures and domains, part I. Theoretical Computer Science 13(1), 85–108 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  17. Nygaard, M.: Towards an operational understanding of presheaf models. Progress report, University of Aarhus (2001)

    Google Scholar 

  18. Nygaard, M., Winskel, G.: Linearity in process languages. In: Proc. LICS 2002 (2002)

    Google Scholar 

  19. Nygaard, M., Winskel, G.: HOPLA—a higher-order process language. In: Brim, L., Jančar, P., Křetínský, M., Kucera, A. (eds.) CONCUR 2002. LNCS, vol. 2421, p. 434. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  20. Nygaard, M., Winskel, G.: Domain theory for concurrency. Theoretical Computer Science (2003) (submitted to)

    Google Scholar 

  21. Scott, D.S.: Domains for denotational semantics. In: Nielsen, M., Schmidt, E.M. (eds.) ICALP 1982. LNCS, vol. 140. Springer, Heidelberg (1982)

    Chapter  Google Scholar 

  22. Seely, R.A.G.: Linear logic, ∗-autonomous categories and cofree coalgebras. In: Proc. Categories in Computer Science and Logic (1987)

    Google Scholar 

  23. Winskel, G.: The Formal Semantics of Programming Languages. MIT Press, Cambridge (1993)

    MATH  Google Scholar 

  24. Winskel, G.: A presheaf semantics of value-passing processes. In: Sassone, V., Montanari, U. (eds.) CONCUR 1996. LNCS, vol. 1119. Springer, Heidelberg (1996)

    Google Scholar 

  25. Winskel, G., Zappa Nardelli, F.: Manuscript (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nygaard, M., Winskel, G. (2003). Full Abstraction for HOPLA. In: Amadio, R., Lugiez, D. (eds) CONCUR 2003 - Concurrency Theory. CONCUR 2003. Lecture Notes in Computer Science, vol 2761. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45187-7_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-45187-7_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40753-9

  • Online ISBN: 978-3-540-45187-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics