In contrast to traditional payment systems, decentralized systems typically experience longer transaction delays due to the need for consensus across the network before execution results are finalized. However, the Waterfall Network introduces optimistic finality, where the probability of transaction rollbacks is extremely low. Moreover, it also provides full finality to ensure network reliability.
Through mathematical and statistical methods, combined with a series of simulation experiments, we have significantly reduced transaction finalization times. We also developed early probabilistic estimates for optimistic finalization of transaction blocks in Shards. These innovations lead to an optimal level of decision-making support within the Coordinating network.