At a slightly more technical level, the accumulator acts as a cache that stores block headers. If the accumulator has a header in its cache, the respective storage-proof computation can use it for validation.
A visual representation of the possible use of recursive proofs to batch a variety of information into subsequent verified and cached proofs. Source: StarkWare
If the header is not cached, the prover has to generate a proof to cover the requested block range, add the block header to the accumulator and then complete the requested storage proof computation.
As the name suggests, the on-chain accumulator essentially accumulates proofs that rollup prior proofs, drastically reducing the time it takes to verify the Ethereum blockchain and associated data at any point in the network’s history.
Herodotus chief technology officer Marcello Bardus notes that the technology removes the need to traverse the entire blockchain on the blockchain itself:
“We can do it off chain, generate an accumulator and just cherrypick one specific block without iterating from the entire chain on the chain itself.”
StarkWare notes that Storage proofs could prove groundbreaking as an alternative to cross-chain bridges that rely on third-party oracles to track and verify data.
Herodotus co-founder Kacper Koziol added that the accumulator is an innovation that Ethereum has long needed to align with blockchain principles of transparency and accessibility. The technology will essentially allow any user to access any point in Ethereum’s history.
“This will be very powerful. For the first time in the history of blockchains, people are going to be able to prove the correctness of any aspect of anyone’s on-chain information.”
The two teams highlight the potential for storage proofs to build “Web2 equivalent applications,” tapping into the pioneering ability to access and verify Ethereum blockchain data autonomously.
Account recovery is touted as one potential use case, where the ability to verify on-chain data could trigger a proverbial dead man’s switch or automate insurance protocols that use historical on-chain events to trigger smart contract payouts.
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