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Crux—A New Fast, Flexible and Decentralized Consensus Algorithm with High Fault Tolerance Rate

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Smart Blockchain (SmartBlock 2018)

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Abstract

This paper presents Crux, a new permissionless blockchain consensus algorithm that achieves higher fault tolerance rate with more flexibility than existing blockchains such as Bitcoin, Ethereum and EOS. Crux utilize a DPoS-XPaxos pipelined algorithm to achieve effective and efficient consensus. Those who hold tokens in Crux elect \(2f+1\) block producers called validators through a continuous approval voting system. The elected validators are scheduled in an order and produce blocks in turns agreed by all of the validators. XPaxos, guarantees \(\frac{f}{2f+1}\) fault tolerance rate, is added to traditional DPoS to confirm blocks. Once \(f+1\) validators have signed a block, it is deemed irreversible. Analysis shows Crux provides higher securities, better flexibility, higher TPS (transaction per second) with little cost of centralization compared with existing blockchain consensus algorithms.

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References

  1. Delegated proof-of-stake consensus. https://bitshares.org/technology/delegated-proof-of-stake-consensus/

  2. EOSIO white paper. https://github.com/EOSIO/Documentation/blob/master/TechnicalWhitePapermd

  3. Ethcore. parity: next generation ethereum browser. https://ethcore.io/parity.html

  4. Ethereum blockchain app platform. https://www.ethereum.org

  5. Hyperledger project. https://www.hyperledger.org/projects/fabric

  6. Ripple. https://ripple.com

  7. Bellare, M., Rogaway, P.: The exact security of digital signatures-how to sign with RSA and rabin. In: Maurer, U. (ed.) EUROCRYPT 1996. LNCS, vol. 1070, pp. 399–416. Springer, Heidelberg (1996). https://doi.org/10.1007/3-540-68339-9_34

    Chapter  Google Scholar 

  8. Castro, M., Liskov, B.: Practical byzantine fault tolerance. In: OSDI, pp. 173–186 (1999)

    Google Scholar 

  9. Castro, M., Liskov, B.: Practical byzantine fault tolerance and proactive recovery. ACM Trans. Comput. Syst. 20(4), 398–461 (2002)

    Article  Google Scholar 

  10. Clement, A., Wong, E.L., Alvisi, L., Dahlin, M., Marchetti, M.: Making byzantine fault tolerant systems tolerate byzantine faults. In: NSDI, pp. 153–168 (2009)

    Google Scholar 

  11. Hopkins, A.L., Lala, J.H., Smith, T.B.: The evolution of fault tolerant computing at the Charles Stark Draper laboratory, 1955–85. In: Avižienis, A., Kopetz, H., Laprie, J.C. (eds.) The Evolution of Fault-Tolerant Computing. DEPENDABLECOMP, vol. 1, pp. 121–140. Springer, Vienna (1987). https://doi.org/10.1007/978-3-7091-8871-2_6

    Chapter  Google Scholar 

  12. King, S., Nadal, S.: PPcoin: peer-to-peer crypto-currency with proof-of-stake. Self-published Paper, 19 August 2012

    Google Scholar 

  13. Kogias, E.K., Jovanovic, P., Gailly, N., Khoffi, I., Gasser, L., Ford, B.: Enhancing bitcoin security and performance with strong consistency via collective signing. In: USENIX Security, pp. 279–296 (2016)

    Google Scholar 

  14. Kotla, R., Alvisi, L., Dahlin, M., Clement, A., Wong, E.L.: Zyzzyva: speculative byzantine fault tolerance. ACM Trans. Comput. Syst. 27(4), 7:1–7:39 (2009)

    Article  Google Scholar 

  15. Kotla, R., Alvisi, L., Dahlin, M., Clement, A., Wong, E.: Zyzzyva: speculative byzantine fault tolerance. ACM SIGOPS Oper. Syst. Rev. 41(6), 45–58 (2007)

    Article  Google Scholar 

  16. Lamport, L., Shostak, R.E., Pease, M.C.: The byzantine generals problem. ACM Trans. Program. Lang. Syst. 4(3), 382–401 (1982)

    Article  Google Scholar 

  17. Lamport, L., et al.: Paxos made simple. ACM SIGACT News 32(4), 18–25 (2001)

    Google Scholar 

  18. Larimer, D.: Delegated proof-of-stake (DPOS). Bitshare whitepaper (2014)

    Google Scholar 

  19. Li, C., Li, P., Xu, W., Long, F., Yao, A.C.: Scaling Nakamoto consensus to thousands of transactions per second. CoRR abs/1805.03870 (2018)

    Google Scholar 

  20. Liu, S., Viotti, P., Cachin, C., Quéma, V., Vukolic, M.: XFT: practical fault tolerance beyond crashes. In: OSDI, pp. 485–500 (2016)

    Google Scholar 

  21. McConaghy, T., et al.: BigchainDB: a scalable blockchain database. BigchainDB white paper (2016)

    Google Scholar 

  22. Nakamoto, S.: Bitcoin: a peer-to-peer electronic cash system (2008)

    Google Scholar 

  23. Ongaro, D., Ousterhout, J.K.: In search of an understandable consensus algorithm. In: USENIX ATC, pp. 305–319 (2014)

    Google Scholar 

  24. Paulitsch, M., Morris, J., Hall, B., Driscoll, K., Latronico, E., Koopman, P.: Coverage and the use of cyclic redundancy codes in ultra-dependable systems. In: DSN, pp. 346–355 (2005)

    Google Scholar 

  25. Rivest, R.L.: The MD5 message-digest algorithm. RFC 1321, pp. 1–21 (1992)

    Google Scholar 

  26. Rivest, R.L., Shamir, A., Adleman, L.M.: A method for obtaining digital signatures and public-key cryptosystems. Commun. ACM 21(2), 120–126 (1978)

    Article  MathSciNet  Google Scholar 

  27. Tsudik, G.: Message authentication with one-way hash functions. In: INFOCOM, pp. 2055–2059 (1992)

    Google Scholar 

  28. Vasin, P.: Blackcoin’s proof-of-stake protocol v2 (2014). https://blackcoin.co/blackcoin-pos-protocolv2-whitepaper.pdf

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Correspondence to Pengfei Li .

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Li, P., Peng, J., Yang, L., Zheng, Q., Pan, G. (2018). Crux—A New Fast, Flexible and Decentralized Consensus Algorithm with High Fault Tolerance Rate. In: Qiu, M. (eds) Smart Blockchain. SmartBlock 2018. Lecture Notes in Computer Science(), vol 11373. Springer, Cham. https://doi.org/10.1007/978-3-030-05764-0_7

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  • DOI: https://doi.org/10.1007/978-3-030-05764-0_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-05763-3

  • Online ISBN: 978-3-030-05764-0

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