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Many blockchain platform are subject to maximal value extraction (MEV), andusers on the platform are losing money while sending transactions because thetransaction order can be manipulated to extract value from them. Consensusprotocols have been augmented with different notion of fair ordering in orderto counter the problem. Out of all practical protocols, the most efficient BFTconsensus requires $O(nTL + n^2T)$ communication complexity, where $n$ isnumber node, $T$ is number of transactions and $L$ is average transaction size.In this work, we propose a new system of BFT fair ordering protocols,Travelers, that substantially reduce the communication complexity. The proposedsystem of protocols satisfy a new notion of fair ordering, called probabilisticfair ordering, which is an extension to some existing notions of fairness. Thenew notion allows a small probability of error $\epsilon$, that adversary caninsert some transactions at any location in a block, but for the remaining$1-\epsilon$ the a modified version of ordering linearizability holds. Ourmechanism neither require a dissemination network nor direct submissions to allconsensus nodes. The key innovation comes from a routing protocol, that is bothflexible and efficient. We construct a protocol with $O(c\log({n})TL + n^2)$communication complexity with $\epsilon = 1/n^c$ for some system parameter$c\ge 1$.

Travelers: A scalable fair ordering BFT system