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2019, San Diego, California, USA (LIPIcs, Vol. 124). Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 5:1--5:1.[2]Dan Boneh, Joseph Bonneau, Benedikt Bünz, and Ben Fisch. 2018. Verifiable delay functions. In Annual international cryptology conference. Springer, 757--788.[3]Joseph Bonneau, Jeremy Clark, and Steven Goldfeder. 2015. On Bitcoin as a public randomness source. IACR Cryptol. ePrint Arch., Vol. 2015 (2015), 1015.[4]Jonah Brown-Cohen, Arvind Narayanan, Alexandros Psomas, and S Matthew Weinberg. 2019. Formal barriers to longest-chain proof-of-stake protocols. In Proceedings of the 2019 ACM Conference on Economics and Computation. 459--473.[5]Miles Carlsten, Harry A. Kalodner, S. Matthew Weinberg, and Arvind Narayanan. 2016. On the Instability of Bitcoin Without the Block Reward. In Proceedings of the 2016 ACM SIGSAC Conference on Computer and Communications Security, Vienna, Austria, October 24--28, 2016. ACM, 154--167.[6]Xi Chen, Christos H. Papadimitriou, and Tim Roughgarden. 2019. An Axiomatic Approach to Block Rewards. In Proceedings of the 1st ACM Conference on Advances in Financial Technologies, AFT 2019, Zurich, Switzerland, October 21--23, 2019. ACM, 124--131.[7]Jeremy Clark and Urs Hengartner. 2010. On the Use of Financial Data as a Random Beacon. EVT/WOTE, Vol. 89 (2010).[8]Phil Daian, Rafael Pass, and Elaine Shi. 2019. Snow White: Robustly Reconfigurable Consensus and Applications to Provably Secure Proof of Stake. In Financial Cryptography and Data Security - 23rd International Conference, FC 2019, Frigate Bay, St. Kitts and Nevis, February 18--22, 2019, Revised Selected Papers (Lecture Notes in Computer Science, Vol. 11598). Springer, 23--41.[9]Rick Durrett. 2019. Probability: theory and examples. Vol. 49. Cambridge university press.[10]Ittay Eyal and Emin Gün Sirer. 2014. Majority is

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