# TASK: Search the literature for definitions of Security, Liveness and Decentralization Liveness is tied to blocks. Related the properties to blocks. Cite High level properties. Search for Bitcoin backbone protocol Look for simple and in english formulations of the properties: security, liveness, decentraliz Cite https://eprint.iacr.org/2015/1019.pdf fernando pedone -> paxos -> properties -> from citation look for works in blockchain that use those properties For decentralization and fairness: https://arxiv.org/pdf/1801.03998.pdf 1. [Ouroboros: A Provably Secure Proof-of-Stake Blockchain Protocol](https://link.springer.com/content/pdf/10.1007%2F978-3-319-63688-7_12.pdf) ![](https://i.imgur.com/y88yjAr.png) ![](https://i.imgur.com/NYxsPfQ.png) ![](https://i.imgur.com/7LdxWqf.png) 2. [Analysis of the Blockchain Protocol in Asynchronous Networks](https://link.springer.com/content/pdf/10.1007%2F978-3-319-56614-6_22.pdf) ![](https://i.imgur.com/ff60lym.png) 3. [Hybrid Consensus: Efficient Consensus in the Permissionless Model](https://drops.dagstuhl.de/opus/volltexte/2017/8004/pdf/LIPIcs-DISC-2017-39.pdf) ![](https://i.imgur.com/BRaV08G.png) 4. [FruitChains: A Fair Blockchain](https://dl.acm.org/doi/pdf/10.1145/3087801.3087809) Useful for the definition of fairness ![](https://i.imgur.com/kF8akaK.png) 5. [Bitcoin-NG: A Scalable Blockchain Protocol](https://www.usenix.org/system/files/conference/nsdi16/nsdi16-paper-eyal.pdf) Useful for the system model they use ![](https://i.imgur.com/wuO7eev.png) --- https://eprint.iacr.org/2015/1019.pdf Requirements: - blocks - sequence of blocks - probabilistic consensus: we allow to have temporarily disagreement. a way to do it is with common prefixes