Skip to main content
SpringerLink
Log in

A Decentralized Implementation of Mobile Ambients

  • Conference paper
Graph Transformations (ICGT 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5214))

Included in the following conference series:

Abstract

We present a graphical implementation for finite processes of the mobile ambients calculus. Our encoding uses unstructured (i.e., non hierarchical) graphs and it is sound and complete with respect to the structural congruence of the calculus (that is, two processes are equivalent iff they are mapped into isomorphic graphs). With respect to alternative proposals for the graphical implementation of mobile ambients, our encoding distinguishes the syntactic structure of a process from the activation order of a process components. Our solution faithfully captures a basic feature of the calculus (ambients can be nested and reductions are propagated across ambient nesting) and it allows to model the reduction semantics via a graph transformation system containing just three rules.

Research partially supported by the EU FP6-IST IP 16004 SEnSOria.

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

Access this chapter

Log in via an institution
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. Cardelli, L., Gordon, A.: Mobile ambients. Theor.Comp.Sci. 240(1), 177–213 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  2. Regev, A., Panina, E., Silverman, W., Cardelli, L., Shapiro, E.: Bioambients: an abstraction for biological compartments. Theor.Comp.Sci. 325(1), 141–167 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  3. Caires, L., Cardelli, L.: A spatial logic for concurrency (part I). Information and Computation 186(2), 194–235 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  4. Hirschkoff, D., Pous, D., Sangiorgi, D.: An efficient abstract machine for safe ambients. Journal of Logic and Algebraic Programming 71(2), 114–149 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  5. Gadducci, F.: Graph rewriting for the π-calculus. Mathematical Structures in Computer Science 17(3), 407–437 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  6. Milner, R.: Pure bigraphs: Structure and dynamics. Information and Computation 204(1), 60–122 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  7. Gadducci, F., Montanari, U.: A concurrent graph semantics for mobile ambients. In: Brookes, S., Mislove, M. (eds.) Mathematical Foundations of Programming Semantics. Electr.Notes in Theor.Comp.Sci., vol. 45. Elsevier Science, Amsterdam (2001)

    Google Scholar 

  8. Ferrari, G., Montanari, U., Tuosto, E.: A LTS semantics of ambients via graph synchronization with mobility. In: Restivo, A., Ronchi Della Rocca, S., Roversi, L. (eds.) ICTCS 2001. LNCS, vol. 2202, pp. 1–16. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  9. Cenciarelli, P., Talamo, I., Tiberi, A.: Ambient graph rewriting. In: Martì-Oliet, N. (ed.) Rewriting Logic and its Applications. ENTCS, vol. 117, pp. 335–351. Elsevier, Amsterdam (2005)

    Google Scholar 

  10. Mylonakis, N., Orejas, F.: Another fully abstract graph semantics for the ambient calculus. Graph Transformation for Verification and Concurrency (2007)

    Google Scholar 

  11. Jensen, O., Milner, R.: Bigraphs and mobile processes. Technical Report 580, Computer Laboratory, University of Cambridge (2003)

    Google Scholar 

  12. Levi, F., Sangiorgi, D.: Mobile safe ambients. ACM Trans. Program. Lang. Syst. 25(1), 1–69 (2003)

    Article  Google Scholar 

  13. Merro, M., Zappa Nardelli, F.: Behavioral theory for mobile ambients. Journal of the ACM 52(6), 961–1023 (2005)

    Article  MathSciNet  Google Scholar 

  14. Bruni, R., Gadducci, F., Montanari, U.: Normal forms for algebras of connections. Theor.Comp.Sci. 286(2), 247–292 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  15. Corradini, A., Gadducci, F.: An algebraic presentation of term graphs, via gs-monoidal categories. Applied Categorical Structures 7, 299–331 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  16. Corradini, A., Montanari, U., Rossi, F.: Graph processes. Fundamenta Informaticae 26(3/4), 241–265 (1996)

    MATH  MathSciNet  Google Scholar 

  17. Corradini, A., Montanari, U., Rossi, F., Ehrig, H., Heckel, R., Löwe, M.: Algebraic approaches to graph transformation I: Basic concepts and double pushout approach. In: Rozenberg, G. (ed.) Handbook of Graph Grammars and Computing by Graph Transformation, vol. 1, pp. 163–245. World Scientific, Singapore (1997)

    Google Scholar 

  18. Drewes, F., Habel, A., Kreowski, H.J.: Hyperedge replacement graph grammars. In: Rozenberg, G. (ed.) Handbook of Graph Grammars and Computing by Graph Transformation, vol. 1, pp. 95–162. World Scientific, Singapore (1997)

    Google Scholar 

  19. Ehrig, H., König, B.: Deriving bisimulation congruences in the DPO approach to graph rewriting with borrowed contexts. Mathematical Structures in Computer Science 16(6), 1133–1163 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  20. Bonchi, F., Gadducci, F., König, B.: Process bisimulation via a graphical encoding. In: Corradini, A., Ehrig, H., Montanari, U., Ribeiro, L., Rozenberg, G. (eds.) ICGT 2006. LNCS, vol. 4178, pp. 168–183. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Informatica, Università di Pisa, largo Pontecorvo 3c, I-56127, Pisa, Italy

    Fabio Gadducci & Giacoma Valentina Monreale

Authors
  1. Fabio Gadducci
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Giacoma Valentina Monreale
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Technische Universität Berlin, Germany

    Hartmut Ehrig

  2. Department of Computer Science, University of Leicester, Leicester, UK

    Reiko Heckel

  3. Leiden Center for Natural Computing, Leiden University, Leiden, The Netherlands

    Grzegorz Rozenberg

  4. Department of Mathematics and Computer Science, Philipps-University Marburg, Marburg, Germany

    Gabriele Taentzer

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Gadducci, F., Monreale, G.V. (2008). A Decentralized Implementation of Mobile Ambients . In: Ehrig, H., Heckel, R., Rozenberg, G., Taentzer, G. (eds) Graph Transformations. ICGT 2008. Lecture Notes in Computer Science, vol 5214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87405-8_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-87405-8_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87404-1

  • Online ISBN: 978-3-540-87405-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation