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Observation-Oriented Semantics for Calculus of Wireless Systems

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Unifying Theories of Programming (UTP 2014)

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Abstract

Wireless networks are being deployed in a wide range of communication scenarios. Calculus of Wireless Systems [8] is introduced for specifying the behaviour of wireless communication. It contains several interesting features, including local broadcasting, half-duplex channel and transmission interference. In this paper we explore an observation-oriented semantics for the calculus, which can be used to study network equivalence. We investigate the observation-oriented semantics of wireless networks based on its basic components. A wireless network is specified as a set of nodes running in parallel, which are classified into four different types according to their states. The behaviour of a node is determined by its state with its environment, i.e., nodes which are located close to it. Hence a trace is introduced to record the execution as well as the corresponding environment update of a node. Based on traces of a set of nodes, the behaviour of a network composed of these nodes can be deduced. We also investigate a set of algebraic laws based on the observation-oriented semantics.

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References

  1. Camp, T., Boleng, J., Davies, V.: A survey of mobility models for ad hoc network research. Wireless Communications and Mobile Computing 2(5), 483–502 (2002)

    Article  Google Scholar 

  2. Cerone, A., Hennessy, M.: Modelling probabilistic wireless networks. Logical Methods in Computer Science 9(3) (2013)

    Google Scholar 

  3. Cerone, A., Hennessy, M., Merro, M.: Modelling mac-layer communications in wireless systems. In: De Nicola, R., Julien, C. (eds.) COORDINATION 2013. LNCS, vol. 7890, pp. 16–30. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  4. Focardi, R., Gorrieri, R., Martinelli, F.: Classification of security properties - part II: network security. In: Focardi, R., Gorrieri, R. (eds.) FOSAD 2001. LNCS, vol. 2946, pp. 139–185. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  5. Ghassemi, F., Fokkink, W., Movaghar, A.: Restricted broadcast process theory. In: SEFM, pp. 345–354 (2008)

    Google Scholar 

  6. Godskesen, J.C.: A calculus for mobile ad hoc networks. In: Murphy, A.L., Vitek, J. (eds.) COORDINATION 2007. LNCS, vol. 4467, pp. 132–150. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  7. Hoare, C.A.R., He, J.: Unifying Theories of Programming. Prentice Hall International Series in Computer Science (1998)

    Google Scholar 

  8. Lanese, I., Sangiorgi, D.: An operational semantics for a calculus for wireless systems. Theor. Comput. Sci. 411(19), 1928–1948 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  9. Merro, M.: An observational theory for mobile ad hoc networks (full version). Inf. Comput. 207(2), 194–208 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  10. Merro, M., Ballardin, F., Sibilio, E.: A timed calculus for wireless systems. Theor. Comput. Sci. 412(47), 6585–6611 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  11. Mezzetti, N., Sangiorgi, D.: Towards a calculus for wireless systems. Electr. Notes Theor. Comput. Sci. 158, 331–353 (2006)

    Article  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  13. Nanz, S., Hankin, C.: Formal security analysis for ad-hoc networks. Electr. Notes Theor. Comput. Sci. 142, 195–213 (2006)

    Article  Google Scholar 

  14. Ostrovsky, K., Prasad, K.V.S., Taha, W.: Proceedings of the 4th international ACM sigplan conference on principles and practice of declarative programming, October 6–8, 2002, Pittsburgh, PA, USA (Affiliated with PLI 2002). In: Towards a Primitive Higher Order Calculus of Broadcasting Systems, pp. 2–13. ACM (2002)

    Google Scholar 

  15. Plotkin, G.D.: A structural approach to operational semantics. J. Log. Algebr. Program. 60–61, 17–139 (2004)

    MathSciNet  Google Scholar 

  16. Prasad, K.V.S.: A calculus of broadcasting systems. Sci. Comput. Program. 25(2–3), 285–327 (1995)

    Article  Google Scholar 

  17. Prasad, K.V.S.: Broadcasting in time. In: Ciancarini, P., Hankin, C. (eds.) COORDINATION 1996. LNCS, vol. 1061, pp. 321–338. Springer, Heidelberg (1996)

    Chapter  Google Scholar 

  18. Singh, A., Ramakrishnan, C.R., Smolka, S.A.: A process calculus for mobile ad hoc networks. Sci. Comput. Program. 75(6), 440–469 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  19. Sundararaman, B., Buy, U., Kshemkalyani, A.D.: Clock synchronization for wireless sensor networks: a survey. Ad Hoc Networks 3(3), 281–323 (2005)

    Article  Google Scholar 

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Correspondence to Huibiao Zhu .

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Wu, X., Zhu, H., Wu, X. (2015). Observation-Oriented Semantics for Calculus of Wireless Systems. In: Naumann, D. (eds) Unifying Theories of Programming. UTP 2014. Lecture Notes in Computer Science(), vol 8963. Springer, Cham. https://doi.org/10.1007/978-3-319-14806-9_6

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  • DOI: https://doi.org/10.1007/978-3-319-14806-9_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-14805-2

  • Online ISBN: 978-3-319-14806-9

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