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Continuation Passing Semantics for Membrane Systems

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10105))

Abstract

Membrane systems are described by a language in which multisets of objects are encapsulated in hierarchical structures of compartments. The language provides primitives for parallel communication of objects across membranes and a primitive for membrane creation. The behaviour of each membrane is specified by means of multiset rewriting rules. We provide a compositional semantics for membrane systems by using the continuation passing style and metric spaces.

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References

  1. Alexandru, A., Ciobanu, G.: Mathematics of multisets in the Fraenkel-Mostowski framework. Bull. Math. Soc. Sci. Math. Roumanie 58(106), 3–18 (2015). Tome

    MathSciNet  MATH  Google Scholar 

  2. Appel, A.W.: Compiling with Continuations. Cambridge University Press, New York (2007)

    Google Scholar 

  3. Andrei, O., Ciobanu, G., Lucanu, D.: A rewriting logic framework for operational semantics of membrane systems. Theor. Comput. Sci. 373, 163–181 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  4. de Bakker, J.W., de Vink, E.P.: Control Flow Semantics. MIT Press, Cambridge (1996)

    MATH  Google Scholar 

  5. Ciobanu, G., Păun, G., Pérez-Jiménez, M.J.: Applications of Membrane Computing. Natural Computing Series. Springer, Heidelberg (2006)

    Google Scholar 

  6. Ciobanu, G.: Semantics of P systems. In: Handbook of Membrane Computing, pp. 413–436. Oxford University Press (2009)

    Google Scholar 

  7. Ciobanu, G., Todoran, E.N.: Metric denotational semantics for parallel rewriting of multisets. In: Proceedings 13th Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), pp. 276–283. IEEE Computer Press (2011)

    Google Scholar 

  8. Ciobanu, G., Todoran, E.N.: Relating two metric semantics for parallel rewriting of multisets. In: Proceedings 14th Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), pp. 273–280. IEEE Computer Press (2012)

    Google Scholar 

  9. Ciobanu, G., Todoran, E.N.: Continuation semantics for asynchronous concurrency. Fundamenta Informaticae 131(3–4), 373–388 (2014)

    MathSciNet  MATH  Google Scholar 

  10. Ciobanu, G., Todoran, E.N.: Continuation semantics for dynamic hierarchical systems. In: Proceedings of 17th Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC), pp. 281–288. IEEE Computer Press (2015)

    Google Scholar 

  11. Gierz, G., Hofmann, K.H., Keimel, K., Lawson, J.D., Mislove, M., Scott, D.S.: Continuous Lattices and Domains. Cambridge University Press, Cambridge (2003)

    Book  MATH  Google Scholar 

  12. Păun, G.: Membrane Computing. An Introduction. Springer, Heidelberg (2002)

    Book  MATH  Google Scholar 

  13. Plotkin, G.: A powerdomain construction. SIAM J. Comput. 5(3), 452–487 (1976)

    Article  MathSciNet  MATH  Google Scholar 

  14. Todoran, E.N.: Metric semantics for synchronous and asynchronous communication: a continuation-based approach. Electronic Notes in Theoretical Computer Science 28, 101–127 (2000)

    Article  Google Scholar 

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Correspondence to Gabriel Ciobanu .

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Ciobanu, G., Todoran, E.N. (2017). Continuation Passing Semantics for Membrane Systems. In: Leporati, A., Rozenberg, G., Salomaa, A., Zandron, C. (eds) Membrane Computing. CMC 2016. Lecture Notes in Computer Science(), vol 10105. Springer, Cham. https://doi.org/10.1007/978-3-319-54072-6_11

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  • DOI: https://doi.org/10.1007/978-3-319-54072-6_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54071-9

  • Online ISBN: 978-3-319-54072-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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