Groth16 excels at generating ultra-compact proofs and lightning-fast verification due to its reliance on a trusted setup and a single, fixed circuit. For example, Zcash pioneered its use, and rollups like zkSync Lite leverage it to achieve verification gas costs as low as ~200k gas on Ethereum, a critical metric for cost-sensitive applications. Its primary strength is unmatched efficiency for stable, production-ready circuits.
Groth16 vs Halo2: ZK Rollups
Introduction
A foundational comparison of the two dominant proving systems shaping the performance and economics of modern ZK Rollups.
Halo2 takes a different approach by eliminating the trusted setup and enabling recursive proof composition. This results in greater flexibility and scalability for complex applications—like those using Plonky2 or Scroll's zkEVM—but often at the cost of larger proof sizes and higher verification gas (typically 2-5x Groth16). The trade-off is foundational agility versus raw, single-proof efficiency.
The key trade-off: If your priority is minimizing on-chain verification cost and proof size for a finalized application, choose Groth16. If you prioritize future-proof flexibility, recursive proving for infinite scalability, or frequent circuit updates without ceremony overhead, choose Halo2. Your choice dictates the rollup's long-term economic model and upgrade path.
TL;DR: Key Differentiators
A high-level comparison of the dominant proof system for production today versus the leading contender for future scalability.
Groth16: Production-Proven & Efficient
Battle-tested cryptography: Used by Zcash since 2018 and major L2s like zkSync Lite. Offers extremely small proof sizes (~200 bytes) and fast verification times (< 10ms). This matters for minimizing on-chain data and gas costs for final settlement.
Groth16: Trusted Setup Limitation
Requires a per-circuit trusted setup ceremony. This introduces logistical complexity and a persistent trust assumption (though ceremonies like Perpetual Powers of Tau mitigate this). Not ideal for protocols requiring frequent circuit updates or maximal trust minimization.
Halo2: No Trusted Setup & Recursion
Fully transparent (trustless) setup. Enables native proof recursion (proofs that verify other proofs), which is critical for building parallel provers and scaling to millions of TPS. This is the architectural foundation for zkEVMs like Scroll, Taiko, and Polygon zkEVM.
Halo2: Heavier Proofs, Active R&D
Larger proof sizes and slower verification than Groth16 (though improving with techniques like KZG commitments). The ecosystem and tooling (PLONKish arithmetization, custom gates) are more complex and under rapid development. Best for teams with deep ZK expertise targeting long-term scalability.
Feature Comparison: Groth16 vs Halo2
Direct comparison of key technical and operational metrics for ZK-SNARK (Groth16) and ZK-SNARK/Halo2 proof systems in rollup contexts.
| Metric / Feature | Groth16 | Halo2 |
|---|---|---|
Trusted Setup Required | ||
Proof Size | ~200 bytes | ~1-2 KB |
Proving Time (Complex Tx) | ~30 sec | < 10 sec |
Verification Time | < 10 ms | < 10 ms |
Recursive Proof Support | ||
EVM Compatibility | High (via Solidity verifiers) | High (via custom circuits) |
Primary Use Case | Private payments (Zcash), early L2s | Scalable L2s (zkSync, Scroll, Taiko) |
Performance & Cost Benchmarks
Direct comparison of key technical metrics for ZK-SNARK (Groth16) and ZK-SNARK (Halo2) proving systems in rollup contexts.
| Metric | Groth16 | Halo2 |
|---|---|---|
Trusted Setup Required | ||
Proving Time (Single Tx) | ~3 sec | ~1 sec |
Proof Size | ~200 bytes | ~1-2 KB |
Recursive Proof Support | ||
Mainnet Adoption | zkSync Lite, Loopring | Scroll, Taiko |
Developer Libraries | bellman, libsnark | halo2 (Rust), halo2-lib |
Groth16 vs Halo2: ZK Rollup Trade-offs
A technical breakdown of the two dominant ZK-SNARK proving systems, highlighting their core architectural trade-offs for rollup deployment.
Groth16: Unmatched Proof Efficiency
Specific advantage: Produces the smallest proofs (~200 bytes) and fastest on-chain verification of any SNARK. This matters for high-frequency L1 settlement where gas costs dominate (e.g., zkSync Lite, early Loopring).
Groth16: Mature & Audited
Specific advantage: Battle-tested since 2016 with multiple security audits (e.g., Zcash, Aztec). This matters for institutional-grade DeFi where protocol risk must be minimized. Libraries like arkworks provide stable tooling.
Groth16: Critical Weakness
Specific disadvantage: Requires a trusted setup per circuit. This creates operational overhead and introduces a centralized trust assumption for each new application (dApp), hindering permissionless innovation.
Halo2: Trustless & Recursive
Specific advantage: No trusted setup. Native support for recursive proof composition, enabling scalable proof aggregation (e.g., Scroll's zkEVM layer, Taiko). This matters for building modular, multi-layer ZK systems.
Halo2: Flexible & Programmable
Specific advantage: Plonkish arithmetization allows for dynamic circuits and easier integration of custom gates (e.g., SHA-256, Keccak). This matters for complex VM emulation like zkEVMs (Polygon zkEVM) and custom privacy primitives.
Halo2: Performance Trade-off
Specific disadvantage: Larger proofs (~1-10KB) and slower verification than Groth16. This increases L1 settlement gas costs, a critical factor for high-throughput payment rollups where marginal fees are paramount.
Halo2: Strengths and Weaknesses
A technical breakdown of the two dominant proving systems, highlighting key differentiators for rollup architects.
Groth16: Unmatched Proving Efficiency
Specific advantage: Ultra-fast, constant-size proofs (~200 bytes) and verification time (< 10ms). This matters for high-frequency on-chain verification where gas costs and finality speed are paramount, as seen in zkSync Lite and early Loopring.
Halo2: Recursive Proof Composition
Specific advantage: Native support for recursive proof aggregation, enabling parallel proof generation and seamless proof of proofs. This matters for scaling to millions of TPS and building proof aggregation networks (e.g., Polygon zkEVM's AggLayer).
Halo2: Higher Proving Overhead
Specific disadvantage: Larger proof sizes (~1-2 KB) and slower verification (~40-80ms) vs. Groth16. This matters for cost-sensitive L1 settlement where every byte and gas unit directly impacts user fees, a trade-off for its advanced features.
Decision Framework: When to Choose Which
Groth16 for Protocol Architects
Verdict: Choose for production-grade, EVM-centric rollups requiring maximal trust minimization and auditability. Strengths:
- Proven Security: Battle-tested for 5+ years in Zcash, Tornado Cash, and major L2s (zkSync Era, Polygon zkEVM).
- EVM Compatibility: Mature tooling (SnarkJS, Circom) and standardized verifier contracts (e.g.,
Verifier.sol) simplify on-chain integration. - Trusted Setup Per Circuit: While a drawback, it provides a clear, auditable ceremony process for high-value, stable protocols. Trade-offs: The circuit-specific trusted setup is a significant operational overhead for rapid iteration.
Halo2 for Protocol Architects
Verdict: Choose for novel, high-throughput protocols where developer agility and recursive proof composition are critical. Strengths:
- Trustless Setup: No trusted ceremony, eliminating a major coordination risk and operational burden.
- Recursive Proofs: Native support for efficient proof aggregation (e.g., Scroll's zkEVM, Taiko) enabling scalable L3s and bridging.
- Plonkish Arithmetization: More flexible for complex custom circuits (e.g., order-book DEX, privacy-preserving logic). Trade-offs: Less standardized on-chain verifier implementations; requires deeper cryptographic expertise.
Final Verdict and Recommendation
Choosing between Groth16 and Halo2 is a foundational decision that dictates your ZK rollup's long-term scalability, cost, and upgrade path.
Groth16 excels at prover efficiency and succinct verification because of its reliance on a trusted setup and its highly optimized proof structure. For example, ZK rollups like zkSync Era leverage Groth16 to achieve low on-chain verification gas costs, a critical metric for user transaction fees. Its maturity is proven by billions in secured TVL across major protocols. However, this comes with the permanent constraint of circuit-specific trusted setups and the inability to support recursive proof composition natively.
Halo2 takes a different approach by eliminating the trusted setup and enabling recursive proof aggregation. This results in superior long-term scalability and flexibility, as seen in Polygon zkEVM's use of Halo2 to enable efficient proof recursion and future-proof upgrades. The trade-off is that current prover performance can be higher, and the ecosystem of audited tooling and battle-tested circuits is less mature than Groth16's, requiring more in-house expertise.
The key trade-off is between battle-tested efficiency and future-proof flexibility. If your priority is minimizing operational risk and optimizing for today's prover costs and verification gas, choose Groth16. This is ideal for production rollups with fixed logic, like dedicated DEX or payment networks. If you prioritize long-term scalability, recursive proof architectures (e.g., for validiums), and avoiding trusted setup ceremonies, choose Halo2. This suits ambitious, general-purpose zkEVMs or teams building the next generation of ZK infrastructure.
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