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New Perspectives in Distributed Computing

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Mathematical Foundations of Computer Science 1999 (MFCS 1999)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1672))

Abstract

This is an informal introduction to recent developments in the theory of distributed computing, showing how notions from combinatorial and algebraic topology can be used to capture essential aspects of distributed computing.

Supported by NSF grant.

Supported by CONACyT and DGAPA-UNAM grants.

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References

  1. H. Attiya and J. Welch, Distributed Computing: Fundamentals, Simulations and Advanced Topics, McGraw-Hill, 1998.

    Google Scholar 

  2. Baruch Awerbuch, “Complexity of Network Synchronization,” Journal of the ACM, Vol. 32, No. 4, Oct. 1985, pp. 804–823.

    Article  MATH  MathSciNet  Google Scholar 

  3. H. Attiya, A. Bar-Noy, and D. Dolev, “Sharing Memory Robustly in message Passing Systems,” Journal of the ACM, Vol. 42, No. 1 (January 1995), pp. 124–142.

    Article  MATH  Google Scholar 

  4. Hagit Attiya, Amotz Bar-Noy, Danny Dolev, David Peleg, and Rudiger Reischuk, “Renaming in an asynchronous environment,” Journal of the ACM 37,3, July 1990, 524–548.

    Article  MATH  MathSciNet  Google Scholar 

  5. Y. Afek, H. Attiya, D. Dolev, E. Gafni, M. Merritt and N. Shavit, “Atomic snapshots of shared memory,” J. of the ACM, 40(4), (Sept. 1993), 873–890.

    Article  MATH  Google Scholar 

  6. Hagit Attiya and Sergio Rajsbaum, “The Combinatorial Structure of Wait-free Solvable Tasks,” 10th International Workshop on Distributed Algorithms (WDAG), O. Babaoglu and K. Marzullo, Eds., October 1996, 321–343. Lecture Notes in Computer Science #1151, Springer-Verlag.

    Google Scholar 

  7. M.A. Armstrong, Basic Topology, Undergraduate Texts In Mathematics, Springer-Verlag, New York, 1983.

    MATH  Google Scholar 

  8. E. Borowsky and E. Gafni, “Generalized FLP impossibility result for t-resilient asynchronous computations,” in Proceedings of the 1993 ACM Symposium on Theory of Computing, May 1993, 91–100.

    Google Scholar 

  9. E. Borowsky, E. Gafni, N. Lynch, and S. Rajsbaum, “The BG Distributed Simulation Algorithm,” Technical Memo MIT/LCS/TM-573, Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, MA 02139, December, 1997. Submitted for publication. Includes the results of [8,39].

    Google Scholar 

  10. J.A. Bondy and U.S.R. Murty, Graph theory with applications, North-Holland, 1979.

    Google Scholar 

  11. O. Biran, S. Moran, S. Zaks, “A combinatorial characterization of the distributed 1-solvable tasks,” Journal of Algorithms, 11, 1990, 420–440.

    Article  MATH  MathSciNet  Google Scholar 

  12. S. Chaudhuri, “Agreement is harder than consensus: set consensus problems in totally asynchronous systems,” in Proceedings of the Ninth Annual ACM Symposium on Principles of Distributed Computing, 1990, 311–234, 1990.

    Google Scholar 

  13. S. Chaudhuri, M.P. Herlihy, N. Lynch, and M.R. Tuttle, “A tight lower bound for k-set agreement,” in Proceedings of the 34th IEEE Symposium on Foundations of Computer Science, October 1993, 206–215.

    Google Scholar 

  14. D. Dolev and C. Dwork and L Stockmeyer, “On The Minimal Synchronism Needed For Distributed Consensus”, in Journal of the ACM, 34(1), January 1987, 77–97.

    Article  MATH  MathSciNet  Google Scholar 

  15. D. Dolev, N. Lynch, S. Pinter, E. Stark and W. Weihl, “Reaching approximate agreement in the presence of faults,” Journal of the ACM, 33(3), 1986, 499–516.

    Article  MathSciNet  Google Scholar 

  16. D. Dolev, H.R. Strong, “Polynomial algorithms for multiple processor agreement,” in Proceedings of the 14th Annual ACM Symposium on Theory of Computing, pp. 401–407, May 1982.

    Google Scholar 

  17. C. Dwork, Y. Moses, “Knowledge and common knowledge in a byzantine environment: crash failures,” Information and Computation, vol. 8, no. 2, pp. 156–186, October 1990.

    Article  MathSciNet  Google Scholar 

  18. M. Fischer, “The consensus problem in unreliable distributed systems (a brief survey),” Research Report YALE/DCS/RR-273, Yale University, Department of Computer Science, New Haven, Conn., June 1983.

    Google Scholar 

  19. M.J. Fischer, N.A. Lynch, “A lower bound for the time to assure interactive consistency,” Information Processing Letters, vol. 14, no. 4, pp. 183–186, June 1982.

    Article  MATH  MathSciNet  Google Scholar 

  20. M. Fischer, N.A. Lynch, and M.S. Paterson, “Impossibility of distributed commit with one faulty process,” Journal of the ACM, 32(2), April 1985, 374–382.

    Article  MATH  MathSciNet  Google Scholar 

  21. E. Gafni, “Round-by-round fault detectors: unifying synchrony and asynchrony,” Proc. of the 17th ACM Symp. on Principles of Dist. Comp., 1998, pp. 199–208.

    Google Scholar 

  22. E. Gafni, E. Koutsoupias, “3-processor tasks are undecidable,” Proceedings of the 14-th Annual ACM Symposium on Principles of Distributed Computing, page 271, August 1995.

    Google Scholar 

  23. E. Goubault, “Schedulers as abstract interpretations of HDA,” Proc. of PEPM’95, 1995.

    Google Scholar 

  24. E. Goubault, “The dynamics of wait-free distributed computations,” LIENS, Ecole Normale Superieure, 26 (1996), 1–40.

    Google Scholar 

  25. E. Goubault, “A semantic view on distributed computability and complexity,” Proc. of the 3rd Theory and Formal Methods Section Workshop, 1996.

    Google Scholar 

  26. J. Gunawardena, “Homotopy and concurrency,” Bulletin of the EATCS, 54 (1994), 184–193.

    MATH  Google Scholar 

  27. M.P. Herlihy, “Wait-Free Synchronization,” ACM Transactions on Programming Languages and Systems, vol. 13, no. 1, pp. 123–149, January 1991.

    Article  Google Scholar 

  28. M.P. Herlihy and S. Rajsbaum, “Set Consensus Using Arbitrary Objects,” in Proceedings of the 13th Annual ACM Symposium on Principles of Distributed Computing, pages 324–333, August 1994.

    Google Scholar 

  29. M.P. Herlihy and S. Rajsbaum, “Algebraic Spans,” in Proc. of the 14th Annual ACM Symp. on Principles of Dist. Comp., 90–99, 1995.

    Google Scholar 

  30. M.P. Herlihy and S. Rajsbaum, “The decidability of distributed decision task,” in Proc. of the 29th ACM Symposium on Theory of Computing, 589–598, 1997.

    Google Scholar 

  31. M.P. Herlihy and S. Rajsbaum, “A Wait-Free Classification of Loop Agreement Tasks,” S. Kutten (Ed.) Lecture Notes in Computer Science # 1499, Springer Verlag, 175–185: 12th Int. Symp. on Dist. Comp. (DISC before WDAG), Sept. 24–26, 1998.

    Google Scholar 

  32. M.P. Herlihy and S. Rajsbaum, “A Primer on Algebraic Topology and Distributed Computing,” in Computer Science Today, Jan van Leeuwen (Ed.), LNCS Vol. 1000, Springer-Verlag, 1995, p. 203–217.

    Chapter  Google Scholar 

  33. M.P. Herlihy, S. Rajsbaum, and M. Tuttle, “Unifying Synchronous and Asynchronous Message-Passing Models,” in Proc. of the 11th ACM Symp. on Principles of Dist. Comp. (PODC), 1998, 133–142.

    Google Scholar 

  34. M.P. Herlihy and N. Shavit, “The asynchronous computability theorem for t-resilient tasks,” In Proceedings of the 1993 ACM Symposium on Theory of Computing, May 1993, 111–120.

    Google Scholar 

  35. M.P. Herlihy and N. Shavit, “A simple constructive computability theorem for wait-free computation,” Proceedings of the 1994 ACM Symposium on Theory of Computing, May 1994, 243–252.

    Google Scholar 

  36. G. Hoest and N. Shavit, “Towards a Topological Characterization of Asynchronous Complexity,” Proc. of the 16th ACM Symp. on Principles of Dist. Comp. (PODC), 1997, 199–208.

    Google Scholar 

  37. M._C. Loui and H.H. Abu-Amara, “Memory requirements for agreement among unreliable asynchronous processes,” In Parralel and Distributed Computing, F. P. Preparata, editor, vol. 4 of Advances in Computing Research, pages 163–183. JAI Press, 1987.

    Google Scholar 

  38. N.A. Lynch, Distributed Algorithms, Morgan Kaufmann Publishers, Inc. 1996.

    Google Scholar 

  39. N.A. Lynch and S. Rajsbaum, “On the Borowsky-Gafni Simulation Algorithm,” In Proceedings of the Fourth Israel Symposium on Theory of Computing and Systems, June 1996, 4–15.

    Google Scholar 

  40. S. Moran and Y. Wolfstahl, “Extended impossibility results for asynchronous complete networks,” Information Processing Letters, 26 (1987/88), 145–151.

    Article  MathSciNet  Google Scholar 

  41. Y. Moses and S. Rajsbaum, “The unified structure of consensus: a layered analysis approach,” in Proc. of the 17th ACM Symp. Principles of Dist. Comp., 1998, pp. 123–132.

    Google Scholar 

  42. M., Pease, R. Shostak and L. Lamport, “Reaching agreement in the presence of faults,” Journal of the ACM, Vol. 27, No. 2, (April 1980),. 228–234.

    Article  MATH  MathSciNet  Google Scholar 

  43. John H. Wensley et al. “SIFT: Design and analysis of a fault-tolerant computer for aircraft control,” Proceedings of the IEEE, Vol. 66, No. 10, pp. 1240–1255, October 1978.

    Article  Google Scholar 

  44. M. Saks and F. Zaharoglou, “Wait-free k-set agreement is impossible: The topology of public knowledge,” In Proceedings of the 1993 ACM Symposium on Theory of Computing, May 1993, 101–110.

    Google Scholar 

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Herlihy, M., Rajsbaum, S. (1999). New Perspectives in Distributed Computing. In: Kutyłowski, M., Pacholski, L., Wierzbicki, T. (eds) Mathematical Foundations of Computer Science 1999. MFCS 1999. Lecture Notes in Computer Science, vol 1672. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48340-3_16

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  • DOI: https://doi.org/10.1007/3-540-48340-3_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66408-6

  • Online ISBN: 978-3-540-48340-3

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