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Users cannot know whether the node lies about states because it doesn't provide Merkle proof. For example, at #1000 block, the state is "YES" but the headless operator can lie it as "NO" if they want.
Users cannot know whether the node lies about states because it doesn't provide Merkle proof. For example, at #1000 block, the state is "YES" but the headless operator can lie it as "NO" if they want.
But users can verify it if there is a Merkle proof and can access block data (in detail, state root hash). You can see the Merkle proof explanation at https://ethereum.org/en/developers/tutorials/merkle-proofs-for-offline-data-integrity/.
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