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zk-STARKs

Menno van Ravels - Alpha Factory

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AI Quick Summary: zk-STARKs Summary

Term

zk-STARKs

Category

Blockchain

Definition

zk-STARKs (Zero-Knowledge Scalable Transparent Arguments of Knowledge) are zero-knowledge proofs that require no trusted setup and are quantum-resistant.

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zk-STARKs (Zero-Knowledge Scalable Transparent Arguments of Knowledge) are zero-knowledge proofs that require no trusted setup and are quantum-resistant. They produce larger proofs than SNARKs but are more transparent and theoretically more secure in the long term. StarkWare's systems use STARKs.

zk-STARKs were developed by Eli Ben-Sasson and colleagues at StarkWare. They solve key limitations of SNARKs — the trusted setup requirement and quantum vulnerability — while achieving even better prover performance at scale.

**Key differences from SNARKs:**

| Property | zk-SNARKs | zk-STARKs | |----------|-----------|----------| | Trusted setup | Required | Not required | | Proof size | Very small (~200 bytes) | Larger (~45–600KB) | | Verification speed | Very fast | Slower | | Prover speed | Slower | Faster at scale | | Quantum resistance | No | Yes (hash-based) | | Cryptographic assumptions | Elliptic curves | Collision-resistant hashes |

**Why no trusted setup?** STARKs use hash functions (specifically FRI — Fast Reed-Solomon Interactive Oracle Proofs) rather than elliptic curve pairings. Hash functions are well-understood, don't require parameter setup, and are quantum-resistant. There is no "toxic waste" to worry about.

**The FRI protocol:** FRI is the core technique underlying STARKs. It allows a prover to convince a verifier that a polynomial (which represents the computation to be proven) has low degree — the fundamental building block for proving computational integrity.

**StarkWare's implementation:** StarkEx and Starknet use STARKs to prove Ethereum transactions. The Cairo VM was designed specifically to generate STARK-friendly proofs efficiently.

**Recursive STARKs:** Multiple STARK proofs can be combined ("recursed") into a single proof that verifies all of them. This is used by Polygon's STARK prover (Plonky2) to achieve extremely high throughput by recursively aggregating proofs.

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Frequently Asked Questions

Why do STARKs have larger proof sizes than SNARKs?

STARKs achieve their transparency (no trusted setup) and quantum resistance by using hash functions instead of elliptic curve pairings. Hash-based proofs require more data to achieve the same security level — hence larger proof sizes. However, recursive STARKs can compress multiple proofs into one, partially mitigating this disadvantage for high-throughput applications.

What is Cairo VM and why was it created for STARKs?

Cairo is a programming language and VM designed by StarkWare to efficiently generate STARK proofs. Traditional code (Solidity, EVM bytecode) is not naturally STARK-friendly. Cairo was built from the ground up to represent computations in a way that makes STARK proof generation efficient. Starknet's smart contracts are written in Cairo or transpiled to Cairo-compatible bytecode.

Will zk-STARKs replace zk-SNARKs?

Not entirely — both have applications where they excel. SNARKs' smaller proof sizes make them superior for on-chain verification cost (important for Ethereum L1 verification fees). STARKs' no-trusted-setup and quantum resistance make them superior for security-critical and long-term applications. Many projects are combining techniques — Plonky2, for example, achieves SNARK-like proof sizes with STARK-like properties.

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