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Formal Development of a Total Order Broadcast for Distributed Transactions Using Event-B

  • Chapter
Methods, Models and Tools for Fault Tolerance

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 5454))

Abstract

In a replicated database system, copies of the database are kept across several sites for fault-tolerance and availability. Data access in such systems is usually done within a transactional framework. A read-only transaction accesses data locally and an update transaction modifies the database at all sites. Total order broadcast primitives have been proposed to support transactions and allow fault-tolerant cooperation between the sites in a distributed system. In this paper, we identify and analyze the problem of formation of deadlocks among conflicting update transactions due to race conditions and outline how a system of total order broadcast prevents deadlocks and transaction failures. Later we outline how a refinement based approach with Event-B can be used for formal development of the models of total order broadcast. In this approach we begin with the abstract model of a total order broadcast and verify that the required ordering properties are preserved by the system. Subsequently, in a series of refinement steps we outline how an abstract total order can correctly be implemented by using a notion of sequence number. This technique requires us to discharge proof obligations due to consistency and refinement checking. To discharge the proof obligations we are required to discover invariants that describes the relationship between the abstract total order and the underlying mechanism.

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References

  1. Abrial, J.-R.: The B-Book: Assigning programs to meanings. Cambridge University Press, Cambridge (1996)

    Book  MATH  Google Scholar 

  2. Abrial, J.-R.: Train systems. In: Butler, et al. (eds.) [14], pp. 1–36

    Google Scholar 

  3. Abrial, J.-R., Butler, M., Hallerstede, S., Voisin, L.: An Open Extensible Tool Environment for Event-B. In: Liu, Z., He, J. (eds.) ICFEM 2006. LNCS, vol. 4260, pp. 588–605. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  4. Abrial, J.-R., Cansell, D.: Click’n Prove: Interactive Proofs within Set Theory. In: Basin, D., Wolff, B. (eds.) TPHOLs 2003. LNCS, vol. 2758, pp. 1–24. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  5. Abrial, J.-R., Cansell, D., Méry, D.: A mechanically proved and incremental development of ieee 1394 tree identify protocol. Formal Asp. Comput. 14(3), 215–227 (2003)

    Article  MATH  Google Scholar 

  6. Agrawal, D., Alonso, G., Abbadi, A.E., Stanoi, I.: Exploiting atomic broadcast in replicated databases (extended abstract). In: Lengauer, C., Griebl, M., Gorlatch, S. (eds.) Euro-Par 1997. LNCS, vol. 1300, pp. 496–503. Springer, Heidelberg (1997)

    Chapter  Google Scholar 

  7. Amir, Y., Dolev, D., Kramer, S., Malki, D.: Membership algorithms for multicast communication groups. In: Segall, A., Zaks, S. (eds.) WDAG 1992. LNCS, vol. 647, pp. 292–312. Springer, Heidelberg (1992)

    Chapter  Google Scholar 

  8. Babaoglu, Ö., Bartoli, A., Dini, G.: Replicated file management in large-scale distributed systems. In: Tel, G., Vitányi, P.M.B. (eds.) WDAG 1994. LNCS, vol. 857, pp. 1–16. Springer, Heidelberg (1994)

    Chapter  Google Scholar 

  9. Bernstein, P.A., Hadzilacos, V., Goodman, N.: Concurrency Control and Recovery in Database Systems. Addison-Wesley, Reading (1987)

    Google Scholar 

  10. Birman, K.P., Schiper, A., Stephenson, P.: Lightweigt causal and atomic group multicast. ACM Trans. Comput. Syst. 9(3), 272–314 (1991)

    Article  Google Scholar 

  11. Butler, M.: Stepwise refinement of communicating systems. Science of Computer Programming 27(2), 139–173 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  12. Butler, M.: An approach to the design of distributed systems with B AMN. In: Till, D., P. Bowen, J., Hinchey, M.G. (eds.) ZUM 1997. LNCS, vol. 1212, pp. 223–241. Springer, Heidelberg (1997)

    Google Scholar 

  13. Butler, M.: On the use of data refinement in the development of secure communications systems. Formal Aspects of Computing 14(1), 2–34 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  14. Butler, M., Jones, C.B., Romanovsky, A., Troubitsyna, E. (eds.): Rigorous Development of Complex Fault-Tolerant Systems. LNCS, vol. 4157. Springer, Heidelberg (2006)

    Google Scholar 

  15. Butler, M., Yadav, D.: An incremental development of the mondex system in Event-B. Formal Aspects of Computing 20(1), 61–77 (2008)

    Article  Google Scholar 

  16. Défago, X., Schiper, A., Urbán, P.: Total order broadcast and multicast algorithms: Taxonomy and survey. ACM Comput. Surv. 36(4), 372–421 (2004)

    Article  Google Scholar 

  17. Fekete, A., Kaashoek, M.F., Lynch, N.: Implementing sequentially consistent shared objects using broadcast and point-to-point communication. Journal of the ACM 45(1), 35–69 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  18. Fekete, A., Lynch, N.A., Shvartsman, A.A.: Specifying and using a partitionable group communication service. ACM Trans. Comput. Syst. 19(2), 171–216 (2001)

    Article  Google Scholar 

  19. Gray, J., Reuter, A.: Transaction Processing: Concepts and Techniques. Morgan Kaufmann, San Francisco (1993)

    MATH  Google Scholar 

  20. Hadzilacos, V., Toueg, S.: A modular approach to fault-tolerant broadcasts and related problems. Technical Report TR 94 -1425, Cornell University, NY (1994)

    Google Scholar 

  21. Kemme, B., Alonso, G.: A suite of database replication protocols based on group communication primitives. In: Proc. Intl. Conf. Distributed Computing System, Amsterdam, ICDCS, pp. 156–163 (1998)

    Google Scholar 

  22. Kemme, B., Pedone, F., Alonso, G., Schiper, A., Wiesmann, M.: Using optimistic atomic broadcast in transaction processing systems. IEEE Trans. Knowl. Data Eng. 15(4), 1018–1032 (2003)

    Article  Google Scholar 

  23. Laibinis, L., Troubitsyna, E., Iliasov, A., Romanovsky, A.: Rigorous development of fault-tolerant agent systems. In: Butler, et al. (eds.) [14], pp. 241–260

    Google Scholar 

  24. Laibinis, L., Troubitsyna, E., Leppänen, S., Lilius, J., Malik, Q.A.: Formal Service-Oriented Development of Fault Tolerant Communicating Systems. In: Butler, M., Jones, C.B., Romanovsky, A., Troubitsyna, E. (eds.) Rigorous Development of Complex Fault-Tolerant Systems. LNCS, vol. 4157, pp. 261–287. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  25. Lamport, L., Lynch, N.A.: Distributed computing: Models and methods. In: Handbook of Theoretical Computer Science, Volume B: Formal Models and Sematics (B), pp. 1157–1199 (1990)

    Google Scholar 

  26. Liu, X., Renesse, R., Bickford, M., Krietz, C., Constable, R.: Protocol switching: Exploiting meta-properties. In: Intl. Workshop on applied reliable group communication, WARGC 2001, pp. 37–42. IEEE Computer Science, Los Alamitos (2001)

    Google Scholar 

  27. Melliar-Smith, P.M., Moser, L.E., Agrawala, V.: Broadcast protocols for distributed systems. IEEE Trans. Parallel Distrib. Syst. 1(1), 17–25 (1990)

    Article  Google Scholar 

  28. Metayer, C., Abrial, J.R., Voison, L.: Event-B language. RODIN deliverables 3.2 (2005), http://rodin.cs.ncl.ac.uk/deliverables/D7.pdf

  29. Moser, L.E., Melliar-Smith, P.M., Agarwal, D.A., Budhia, R.K., Lingley-Papadopoulos, C.A.: Totem: A fault-tolerant multicast group communication system. Commun. ACM 39(4), 54–63 (1996)

    Article  Google Scholar 

  30. Özsu, M.T., Valduriez, P.: Principles of Distributed Database Systems, 2nd edn. Prentice-Hall, Englewood Cliffs (1999)

    Google Scholar 

  31. Patiño-Martínez, M., Jiménez-Peris, R., Kemme, B., Alonso, G.: Middle-r: Consistent database replication at the middleware level. ACM Trans. Comput. Syst. 23(4), 375–423 (2005)

    Article  Google Scholar 

  32. Pedone, F., Guerraoui, R., Schiper, A.: The database state machine approach. Distributed and Parallel Databases 14(1), 71–98 (2003)

    Article  Google Scholar 

  33. Prisco, R.D., Fekete, A., Lynch, N., Shvartsman, A.: A dynamic view-oriented group communication service. In: PODC 1998: Proceedings of the seventeenth annual ACM symposium on Principles of distributed computing, pp. 227–236. ACM Press, New York (1998)

    Chapter  Google Scholar 

  34. Schiper, A., Raynal, M.: From group communication to transactions in distributed systems. Communication of the ACM 39(4), 84–87 (1996)

    Article  Google Scholar 

  35. Stanoi, I., Agrawal, D., El Abbadi, A.: Using broadcast primitives in replicated databases. In: Proc. of 18th IEEE Intl. Conf. on Distributed Computing System, ICDCS, pp. 148–155 (1998)

    Google Scholar 

  36. Tanenbaum, A.S., Kaashoek, M.F., van Renesse, R., Bal, H.E.: The amoeba distributed operating system - a status report. Computer Communications 14(6), 324–335 (1991)

    Article  Google Scholar 

  37. Toinard, C., Florin, G., Carrez, C.: A formal method to prove ordering properties of multicast systems. ACM Operating Systems Review 33(4), 75–89 (1999)

    Article  Google Scholar 

  38. Yadav, D., Butler, M.: Rigorous Design of Fault-Tolerant Transactions for Replicated Database Systems Using Event B. In: Butler, M., Jones, C.B., Romanovsky, A., Troubitsyna, E. (eds.) Rigorous Development of Complex Fault-Tolerant Systems. LNCS, vol. 4157, pp. 343–363. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

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Authors and Affiliations

  1. School of Electronics and Computer Science, University of Southampton, Southampton, SO17 1BJ, U.K.

    Divakar Yadav & Michael Butler

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  1. Divakar Yadav
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  2. Michael Butler
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Editors and Affiliations

  1. School of Electronics and Computer Science, University of Southampton, SO17 1BJ, Highfield Southampton, United Kingdom

    Michael Butler

  2. School of Computing Science, Newcastle University, NE1 7RU, Newcastle upon Tyne, UK

    Cliff Jones  & Alexander Romanovsky  & 

  3. Department of Computer Science, Ã…bo Akademi University, Lemminkaisenkatu 14 A, 20520, Turku, Finland

    Elena Troubitsyna

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Yadav, D., Butler, M. (2009). Formal Development of a Total Order Broadcast for Distributed Transactions Using Event-B. In: Butler, M., Jones, C., Romanovsky, A., Troubitsyna, E. (eds) Methods, Models and Tools for Fault Tolerance. Lecture Notes in Computer Science, vol 5454. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00867-2_8

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  • DOI: https://doi.org/10.1007/978-3-642-00867-2_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00866-5

  • Online ISBN: 978-3-642-00867-2

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