Skip to main content

Adjunct Elimination in Context Logic for Trees

  • Conference paper
Programming Languages and Systems (APLAS 2007)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 4807))

Included in the following conference series:

Abstract

We study adjunct-elimination results for Context Logic applied to trees, following previous results by Lozes for Separation Logic and Ambient Logic. In fact, it is not possible to prove such elimination results for the original single-holed formulation of Context Logic. Instead, we prove our results for multi-holed Context Logic.

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. Ishtiaq, S.S., O’Hearn, P.W.: BI as an assertion language for mutable data structures. In: POPL 2001, ACM Press, New York (2001)

    Google Scholar 

  2. Reynolds, J.C.: Separation Logic: a logic for shared mutable data structures. In: LICS 2002, IEEE Computer Society, Los Alamitos (2002)

    Google Scholar 

  3. Yang, H., O’Hearn, P.W.: A semantic basis for local reasoning. In: Nielsen, M., Engberg, U. (eds.) ETAPS 2002 and FOSSACS 2002. LNCS, vol. 2303, Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  4. Cardelli, L., Gordon, A.D.: Anytime, anywhere: modal logics for mobile ambients. In: POPL 2000, ACM Press, New York (2000)

    Google Scholar 

  5. Calcagno, C., Gardner, P., Zarfaty, U.: Context Logic and tree update. In: POPL 2005, ACM Press, New York (2005)

    Google Scholar 

  6. O’Hearn, P., Pym, D.: Logic of bunched implications. Bulletin of Symbolic Logic 5(2), 215–244 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  7. Calcagno, C., Gardner, P., Zarfaty, U.: Context logic as modal logic: completeness and parametric inexpressivity. In: POPL 2007, ACM Press, New York (2007)

    Google Scholar 

  8. Lozes, E.: Adjuncts elimination in the static Ambient Logic. In: Corradini, F., Nestmann, U. (eds.) EXPRESS 2003. ENTCS, vol. 96, Elsevier, Amsterdam (2003)

    Google Scholar 

  9. Dawar, A., Gardner, P., Ghelli, G.: Adjunct elimination through games in static Ambient Logic. In: Lodaya, K., Mahajan, M. (eds.) FSTTCS 2004. LNCS, vol. 3328, Springer, Heidelberg (2004)

    Google Scholar 

  10. Calcagno, C., Gardner, P., Zarfaty, U.: Separation Logic, Ambient Logic and Context Logic: parametric inexpressivity results (Unpublished, 2006)

    Google Scholar 

  11. Dinsdale-Young, T.: Adjunct elimination in Context Logic. Master’s thesis, Imperial College London (2006)

    Google Scholar 

  12. Heuter, U.: First-order properties of trees, star-free expressions, and aperiodicity. Informatique théorique et applications 25(2), 125–145 (1991)

    MATH  MathSciNet  Google Scholar 

  13. Bojańczyk, M.: Forest expressions. In: Duparc, J., Henzinger, T.A. (eds.) CSL 2007. LNCS, vol. 4646, Springer, Heidelberg (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Zhong Shao

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Calcagno, C., Dinsdale-Young, T., Gardner, P. (2007). Adjunct Elimination in Context Logic for Trees. In: Shao, Z. (eds) Programming Languages and Systems. APLAS 2007. Lecture Notes in Computer Science, vol 4807. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76637-7_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-76637-7_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-76636-0

  • Online ISBN: 978-3-540-76637-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics