What is the Context of Linear Time Prover?

The concept of a linear time prover is highly relevant in the ongoing research and development of zero-knowledge proofs (ZKPs), particularly for scaling blockchain transactions. Achieving linear prover time is a significant goal for systems aiming to process large batches of transactions off-chain and then submit a single, compact proof to the main chain. Advances in linear time provers directly impact the throughput and cost-effectiveness of zk-rollups and other layer-2 scaling solutions, often discussed in technical crypto news.

Linear Time Prover

Definition

A linear time prover is a component within a zero-knowledge proof system that generates a proof in time proportional to the size of the computation it is verifying. This means the time taken to create the proof scales linearly with the complexity of the statement being proven. Such provers are highly efficient for certain types of cryptographic proofs. Their performance is critical for the practical scalability of privacy-preserving technologies.

∞Security

∞Logarithmic Verifier

∞Linear Time Prover

WARP: Linear Accumulation Unlocks Post-Quantum Scalable Verifiable Computation

Introducing WARP, a hash-based accumulation scheme achieving linear prover time and logarithmic verification, radically accelerating recursive proof systems.

∞Constant Proof Size

∞Linear Time Prover

∞Zero-Knowledge Proofs

Linear-Time Prover SNARK with Constant Proof Size Achieves ZKP Optimality

Samaritan introduces a multilinear polynomial commitment scheme that achieves the theoretical optimum: linear prover time and constant proof size for scalable verifiable computation.

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∞Scalable Layer Two

∞Verifiable Computation

∞Cryptography Research

Optimal ZKP Prover Time Unlocks Practical Succinct Verifiable Computation

Libra achieves the theoretical optimum for ZKP prover efficiency, utilizing a linear-time GKR algorithm to finally scale zero-knowledge proofs.

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∞Proof Aggregation

∞Linear Time Prover

∞Zero-Knowledge

Vanishing Polynomial Commitments Enable Post-Quantum Succinct Arguments and Recursive Folding

A novel commitment scheme utilizing vanishing polynomials unlocks the first lattice-based linear-time prover and polylogarithmic verifier succinct arguments.

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∞zkEVM Computation

∞ZK Rollup Scalability

∞Zero Check Protocol

HyperPlonk’s Multilinear Arithmetization Unlocks Linear Prover Time for ZK-SNARKs

HyperPlonk eliminates the FFT bottleneck in Plonk by using multilinear polynomials over the boolean hypercube, enabling linear-time ZK-proof generation for massive circuits.

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∞Linear Time Prover

∞Succinct Arguments

∞Non-Interactive Proofs

ZKBag Cryptographic Primitive Solves RAM Program Zero-Knowledge Expressiveness Tradeoff

The ZKBag primitive, built on homomorphic commitments, fundamentally resolves the expressiveness-performance dilemma for verifiable computation, unlocking scalable ZK-VMs.

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∞Zero-Knowledge Proofs

∞Succinct Arguments of Knowledge

∞Pairing-Based Cryptography

Constant-Size Polynomial Commitments Unlock Scalable Zero-Knowledge Proof Systems

This cryptographic primitive allows a constant-size commitment to any polynomial, fundamentally decoupling proof size from computation complexity.

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∞Non-Interactive

∞Post-Quantum Security

∞Zero-Knowledge Proofs

Linear-Time Post-Quantum SNARKs Achieve Optimal Prover Efficiency

Brakedown introduces the first built linear-time SNARK, achieving optimal O(N) prover complexity for large computations while eliminating trusted setup.

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∞Polylogarithmic Verification

∞Asymptotic Complexity

∞Cryptographic Primitive

Universal Commitment Schemes Achieve Optimal Prover Efficiency

A new polynomial commitment scheme enables optimal linear-time prover complexity with a universal, updatable setup, finally resolving the ZK-SNARK trust-efficiency paradox.

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∞Polynomial Commitment

∞Verifiable Computation

∞zkEVM Performance

Optimal Prover Complexity Unlocks Linear-Time Zero-Knowledge Proof Generation

This breakthrough achieves optimal O(N) prover time for SNARKs, fundamentally solving the quasi-linear bottleneck and enabling practical, scalable verifiable computation.

Linear Time Prover

Definition

Context

WARP: Linear Accumulation Unlocks Post-Quantum Scalable Verifiable Computation

Linear-Time Prover SNARK with Constant Proof Size Achieves ZKP Optimality

Optimal ZKP Prover Time Unlocks Practical Succinct Verifiable Computation

Vanishing Polynomial Commitments Enable Post-Quantum Succinct Arguments and Recursive Folding

HyperPlonk’s Multilinear Arithmetization Unlocks Linear Prover Time for ZK-SNARKs

ZKBag Cryptographic Primitive Solves RAM Program Zero-Knowledge Expressiveness Tradeoff

Constant-Size Polynomial Commitments Unlock Scalable Zero-Knowledge Proof Systems

Linear-Time Post-Quantum SNARKs Achieve Optimal Prover Efficiency

Universal Commitment Schemes Achieve Optimal Prover Efficiency

Optimal Prover Complexity Unlocks Linear-Time Zero-Knowledge Proof Generation

Incrypthos

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