How does that work?
If you’re not validating transactions - you’re trusting a third party. There are no light clients that avoid this problem. It remains to be seen if they are even possible.
The way it works is that there is a committee of validators in the consensus protocol that is required to sign the head of the chain. We use cryptography known as BLS signatures to perform signature aggregation, meaning you can verify a single signature to ensure that whole committee is correct. The state of the chain can be represented as a Merkle trie, and we can obtain the actual committee as a branch of this tree which can be used during the verification process.
https://medium.com/chainsafe-systems/lodestar-releases-light...
It's really neat and there are working prototypes out there today.