Zero-Knowledge Proofs Built with First-Order Logic

ModulusZK maps first-order logic directly to polynomials, bypassing circuit complexity.
The result: 10-100x cost reduction with 1-3 second finality.

Read what is coming here

Proof infrastructure compatible with Ethereum, Solana, Base, Polkadot, and beyond.

ModulusZK L2 Testnet Now Live

Experience FOL-powered zero-knowledge proofs in action. Test proof generation, explore cross-chain compatibility, and see cost reductions in real-time.

Access testnet documentation here

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Most zero-knowledge systems compile logical statements into circuits before generating polynomial constraints. This intermediate step creates the complexity and cost that keeps ZK out of reach for most protocols.

ModulusZK uses First-Order Logic arithmetization to map logical validity directly to polynomial evaluation. No circuit compilation. No unnecessary overhead. Just efficient proof generation at a fraction of traditional costs.

The breakthrough is simple: if you can eliminate the most expensive step in ZK proof generation, you make zero-knowledge technology accessible to protocols currently priced out of the market.

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10-100x Cost Reduction

Traditional ZK circuits can consume 10-40% of a DeFi protocol’s revenue in proof costs. FOL arithmetization eliminates circuit overhead entirely, making zero-knowledge economically viable for applications that can’t justify traditional ZK pricing. Proof generation that used to cost dollars now costs cents.

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Works With Your Existing Infrastructure

FOL technology translates formal specifications directly into zero-knowledge proofs. Financial institutions can port existing systems without complete rewrites. Protocols can add ZK verification without migrating to a new chain. Compatible with any blockchain that needs efficient proof verification.

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Built by CULT DAO

Governed by a community that values decentralization over venture-backed extraction. ModulusZK provides infrastructure for the entire ecosystem rather than competing for users. Our success comes from adoption across multiple chains, not from capturing market share on a single network.

Why First-Order Logic Changes Everything


The standard approach to zero-knowledge proofs: Logical statement → Circuit representation → Polynomial constraints → Proof generation

ModulusZK’s approach: Logical statement → Polynomial constraints → Proof generation

By removing circuit compilation, we eliminate the step that creates most of the complexity and cost in zero-knowledge systems. This isn’t a marginal improvement. It’s a fundamental rethinking of how ZK proofs should be generated.

The mathematics come from Dr. Murdoch Gabbay’s research on FOL arithmetization. The practical result is proof generation that’s orders of magnitude cheaper while maintaining the same cryptographic security guarantees.

Built For Protocols Currently Priced Out of ZK


If your protocol’s proof costs would consume 10-40% of revenue, ModulusZK changes the economics.

If you need mathematical proof of regulatory compliance without exposing trade data, we provide that capability.

If you’re building cross-chain settlement infrastructure, our compositional proving architecture enables verification across any blockchain.

Traditional ZK technology works. It’s just too expensive for most real-world applications. ModulusZK fixes the cost problem.

Development Roadmap


Phase One: ModulusZK L2 Testnet currently live. Built on Polygon zkEVM fork to prove FOL technology works in production environments.

Phase Two: Layer X Proof coordination infrastructure connecting multiple blockchains. Enables efficient proof markets and cross-chain verification without requiring protocols to migrate.

Phase Three: ModulusZK Prime Custom blockchain with FOL semantics implemented directly at the consensus layer. Maximum efficiency for native applications while maintaining compatibility with existing chains.

Powered by CULT DAO

CULT DAO is a decentralized investment organization funding revolutionary blockchain infrastructure. The CULT DAO community has developed multiple projects focused on decentralization, community rewards, and high-level game theory.

ModulusZK receives governance and development support from CULT DAO. Unlike venture-backed L2s racing to launch isolated networks, we’re building proof infrastructure designed to strengthen the entire blockchain ecosystem.

Projects Building on Modulus

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