- How much gas will it cost to post large (~1,000) validator sets to external EVM chains using the EIP-2537, such as in the [proof-of-concept contracts](https://github.com/ava-labs/icm-contracts/tree/external-interop-poc). - How much gas will it cost on average to verify messages from large validator sets? - What gas optimizations could potentially be made to reduce it (if prohibitively high without)