What is the Context of Linear Prover Time?

Linear prover time is a critical performance metric for the adoption of zero-knowledge rollups and other scaling solutions in blockchain technology. Discussions focus on developing new cryptographic constructions that can achieve this efficiency without compromising security. Future developments aim to reduce prover time even further, making complex on-chain computations more feasible and cost-effective. This optimization directly impacts the scalability and privacy features of decentralized applications.

Linear Prover Time

Definition

Linear prover time refers to the computational time required for a prover to generate a cryptographic proof that scales linearly with the size of the computation being proven. This efficiency metric is highly desirable in zero-knowledge proof systems, as it allows for the verification of large computations without excessive overhead. Achieving linear prover time is a significant advancement for scalable and practical privacy-preserving technologies.

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∞Non-Interactive Arguments

∞Verifiable Computation

∞Polylogarithmic Size

Linear Prover Time Unlocks Scalable Zero-Knowledge Proof Generation

Orion resolves the super-linear prover bottleneck in zk-SNARKs using a novel code switching technique, enabling practical, high-throughput verifiable computation.

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∞Verifier Efficiency

∞Zero-Knowledge Arguments

∞Trusted Setup

Poly-Universal Proofs Achieve Universal Setup and Updatable Security

This new polynomial commitment scheme decouples proof generation from circuit structure, enabling a single, secure, and continuously updatable universal setup.

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∞Verifiable Computation

∞Quasi-Optimal Efficiency

∞Transparent Setup

Lattice SNARKs Achieve Quasi-Optimal Efficiency via Novel Vanishing Polynomial Commitment

A new lattice-based commitment scheme enables the first quasi-optimal, quantum-resistant SNARKs, making secure, scalable verifiable computation practical.

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∞Prover Efficiency

∞SNARG Complexity

∞Arithmetic Circuits

Linear Prover Time Unlocks Optimal Succinct Argument Efficiency

This new Interactive Oracle Proof system resolves the prover-verifier efficiency trade-off, achieving linear prover time and polylogarithmic verification complexity.

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∞Algebraic Commitment

∞Optimal Complexity

∞Recursive Folding Technique

Linear Prover Time Unlocks Optimal Verifiable Computation Scaling

Introducing FoldCommit, a new polynomial commitment scheme that achieves optimal linear-time prover complexity, fundamentally lowering the cost of generating large-scale zero-knowledge proofs.

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∞Post-Quantum Security

∞Computational Efficiency

∞Linear Prover Time

Optimal Prover Time and Succinct Proof Size for Universal Zero-Knowledge

This new ZKP argument system achieves optimal linear prover time and polylogarithmic proof size, fundamentally unlocking verifiable computation at scale.

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∞Verifiable Computation

∞Code Switching

∞Succinct Non-Interactive Arguments

Linear Prover Time Unlocks Universal Scalable Zero-Knowledge Proofs

The Orion argument system achieves optimal linear prover time and polylogarithmic proof size, eliminating the primary bottleneck for universal ZKP adoption.

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∞Polynomial Commitments

∞Cryptographic Efficiency

∞Scalable Privacy

Linear Prover Time ZK Proofs Unlock Universal Verifiable Computation

A new argument system achieves linear-time proof generation with succinct proof size, eliminating the primary computational bottleneck for ZK-rollups and verifiable computation.

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∞Verifiable Computation

∞Cryptographic Security

∞Fast Fourier Transform

Hyper-Efficient Prover Unlocks Universal Transparent Zero-Knowledge Scaling

This new HyperPlonk scheme achieves linear prover time for universal transparent SNARKs, fundamentally accelerating verifiable computation for all decentralized applications.

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∞Cyclotomic Ring

∞Sublinear Verifier

∞Lattice Cryptography

Lattice-Based Polynomial Commitments Achieve Post-Quantum Succinctness and Sublinear Verification

Greyhound is the first concretely efficient lattice-based polynomial commitment scheme, enabling post-quantum secure zero-knowledge proofs with sublinear verifier time.

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∞Prover Efficiency

∞Field Arithmetic

∞Universal Setup

Hyper-Efficient Universal SNARKs Decouple Proving Cost from Setup

HyperPlonk introduces a new polynomial commitment scheme, achieving a universal and updatable setup with dramatically faster linear-time proving, enabling mass verifiable computation.

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∞Verifiable Computation

∞Densest Subgraph

∞Blockchain Scalability

Orion: Linear Prover Time, Polylogarithmic Proof Size Zero-Knowledge Proofs

A new zero-knowledge proof system dramatically accelerates proof generation and shrinks proof size, enabling practical large-scale verifiable computation.

Linear Prover Time

Definition

Context

Linear Prover Time Unlocks Scalable Zero-Knowledge Proof Generation

Poly-Universal Proofs Achieve Universal Setup and Updatable Security

Lattice SNARKs Achieve Quasi-Optimal Efficiency via Novel Vanishing Polynomial Commitment

Linear Prover Time Unlocks Optimal Succinct Argument Efficiency

Linear Prover Time Unlocks Optimal Verifiable Computation Scaling

Optimal Prover Time and Succinct Proof Size for Universal Zero-Knowledge

Linear Prover Time Unlocks Universal Scalable Zero-Knowledge Proofs

Linear Prover Time ZK Proofs Unlock Universal Verifiable Computation

Hyper-Efficient Prover Unlocks Universal Transparent Zero-Knowledge Scaling

Lattice-Based Polynomial Commitments Achieve Post-Quantum Succinctness and Sublinear Verification

Hyper-Efficient Universal SNARKs Decouple Proving Cost from Setup

Orion: Linear Prover Time, Polylogarithmic Proof Size Zero-Knowledge Proofs

Incrypthos

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