Validity Proofs (ZK-SNARKs)

Last Modified:
November 9, 2025

ZK-SNARKs, or Zero-Knowledge Succinct Non-Interactive Arguments of Knowledge, are the cryptographic backbone of Layer-2 solutions like zkSync. They allow blockchain networks to verify transactions without revealing the underlying data, solving two major issues: scalability and privacy.

On the Ethereum mainnet, each transaction must be verified individually by every node in the network. This ensures security but is resource-intensive, leading to high gas fees and slower transaction times. For Layer-2 solutions, efficiency is critical.

ZK-SNARKs allow a batch of transactions to be verified collectively using a single cryptographic proof. This means you can process thousands of transactions off-chain and submit a succinct proof on-chain, dramatically reducing the computational load.

Image from Aleo

Zero-Knowledge
The “zero-knowledge” aspect means that the proof verifies a transaction’s validity without revealing sensitive information like sender, receiver, or amounts. Privacy is maintained while ensuring integrity.

Succinctness
ZK-SNARK proofs are tiny in size, typically a few hundred bytes, regardless of how many transactions are being validated. This makes verification on Ethereum fast and cheap.

Non-Interactive
Unlike interactive proofs that require back-and-forth communication, ZK-SNARKs generate a proof that can be verified directly by the blockchain, simplifying the process.

How ZK-SNARKs Work in Practice

  • Step 1: Off-chain Transaction Processing
    Users submit transactions to a Layer-2 network. These transactions are grouped into a batch.

  • Step 2: Proof Generation
    The network generates a ZK-SNARK that proves all transactions in the batch are valid according to the blockchain’s rules.

  • Step 3: On-chain Verification
    The succinct proof is submitted to Ethereum (or the main chain). Validators only check the proof, not every transaction, drastically reducing computational costs.

  • Step 4: Finalization
    Once verified, all transactions in the batch are finalized on-chain, ensuring security without overloading Ethereum nodes.

Image from Midnight

ZK-SNARKs offer multiple advantages that make Layer-2 blockchain solutions both powerful and practical. In terms of scalability, they can support thousands of transactions per second, allowing networks to handle high demand without congestion. Privacy is another key benefit, as the cryptographic proofs ensure that transaction details remain confidential while still being verifiable. Cost efficiency is also improved, since the collective verification of transaction batches significantly lowers gas fees compared to verifying each transaction individually on the main chain. Finally, ZK-SNARKs provide high security by offering mathematically guaranteed proof of correctness, which eliminates the need to trust any single operator and ensures the integrity of all transactions processed on the network.

Common Use Cases

  • zkSync Era: Uses ZK-SNARKs to scale Ethereum while preserving security.

  • DeFi Platforms: Enable high-frequency trades and swaps with low fees.

  • NFT Marketplaces: Batch minting and transfers without paying high Ethereum mainnet fees.

  • Cross-chain Bridges: Secure asset transfers verified via zero-knowledge proofs.

ZK-SNARKs are a cornerstone of modern blockchain scalability and privacy. By allowing networks like zkSync to process transactions off-chain and submit succinct proofs, they make fast, cheap, and private blockchain transactions possible. Beginners exploring Layer-2 solutions will encounter ZK-SNARKs everywhere, from DeFi apps to NFT platforms, making them essential to understand.