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A Primer on ZK-SNARKs for DeFi Developers

Understand zero-knowledge succinct non-interactive arguments of knowledge and how they enable private computation on public blockchains.

Xythum Research

Xythum Research

@xythum

A Primer on ZK-SNARKs for DeFi Developers

Zero-knowledge proofs are the cryptographic foundation enabling private computation on public blockchains. This primer covers the essentials every DeFi developer should understand.

What Are Zero-Knowledge Proofs?

A zero-knowledge proof allows one party (the prover) to convince another party (the verifier) that a statement is true—without revealing any information beyond the truth of the statement itself.

The Classic Example

Imagine proving you know a secret password without ever revealing what it is. That's zero-knowledge.

The Three Properties

Every zero-knowledge proof must satisfy:

  1. Completeness — If the statement is true, an honest prover can convince the verifier
  2. Soundness — If the statement is false, no cheating prover can convince the verifier (except with negligible probability)
  3. Zero-Knowledge — The verifier learns nothing beyond the statement's validity

Understanding SNARKs

SNARK stands for Succinct Non-interactive ARgument of Knowledge:

PropertyMeaning
SuccinctProofs are small and fast to verify
Non-interactiveNo back-and-forth; prover sends one message
ArgumentComputationally sound (secure against polynomial-time adversaries)
of KnowledgeProver must actually "know" the witness

The Anatomy of a SNARK

A SNARK system consists of three algorithms:

snark-interface.ts
interface SNARKSystem {
  // One-time setup (trusted or universal)
  setup(circuit: Circuit): { provingKey: ProvingKey; verifyingKey: VerifyingKey }
  
  // Generate a proof
  prove(pk: ProvingKey, publicInputs: Field[], witness: Field[]): Proof
  
  // Verify the proof
  verify(vk: VerifyingKey, publicInputs: Field[], proof: Proof): boolean
}

ZK-SNARKs in DeFi

Privacy Applications

  1. Private Transactions — Hide sender, receiver, and amount
  2. Dark Pools — Conceal order details until execution
  3. Identity — Prove attributes without revealing identity
  4. Compliance — Selective disclosure for regulators

How Xythum Uses SNARKs

deposit-verifier.sol
contract DepositVerifier {
    function verifyDeposit(
        bytes32 commitment,
        bytes calldata proof
    ) external view returns (bool) {
        // Verify the SNARK proof
        // This confirms the deposit is valid without
        // revealing the depositor or amount
        return Groth16.verify(verifyingKey, commitment, proof);
    }
}

Performance Considerations

SNARK proof generation is computationally expensive. Client-side proving for complex circuits can take 10-60 seconds. Server-side proving with specialized hardware is much faster.

Choosing a SNARK System

SystemSetupProof SizeVerify TimeBest For
Groth16Per-circuit~200 bytes~1msProduction, gas-efficient
PLONKUniversal~500 bytes~3msFlexibility, upgrades
STARKNone~50KB~10msQuantum resistance

Getting Started

For DeFi developers looking to integrate ZK-SNARKs:

  1. Learn Circom — The DSL for writing arithmetic circuits
  2. Study snarkjs — JavaScript library for proof generation
  3. Explore Noir — Aztec's higher-level ZK language
  4. Read the Literature — Start with the Groth16 and PLONK papers

In the next article, we'll dive into threshold encryption and how it enables decentralized compliance.