Suppose that we have an on-chain Casper FFG cycle, which we absolutely want to confirm, and which we want the chain to be aware of, but this cycle would take a much longer time than we find acceptable because of overhead/finality time/decentralization tradeoffs. For example, suppose that we have 32 ETH validator slots, with 10,000,000 ETH validating in total; this would entail 312500 validator entries, which at an overhead of 4 tx/sec would take nearly a day to go through. We can achieve much...
