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Can SPV Be Used to Verify the State of a Smart Contract?

Standard SPV, as used in Bitcoin, is designed for verifying transaction inclusion, not complex contract state. Verifying a smart contract's state often requires processing the contract logic and the full history of state changes.

More advanced systems, like those used in some Layer 2 solutions, may use Merkle proofs on a state tree (like an Ethereum Patricia-Merkle Tree) to verify state, which is a conceptual evolution of SPV.

How Is a Merkle Proof Used to Verify a Transaction without Downloading the Entire Blockchain?
How Is the Merkle Tree Root Hash Used to Prove the Inclusion of a Transaction in a Block?
How Is the Merkle Tree Structure Used to Verify Transactions Efficiently?
How Do ‘Simplified Payment Verification’ (SPV) Wallets Use Merkle Trees?