# Public Inputs ⎊ Area ⎊ Greeks.live

---

## What is the Definition of Public Inputs?

Public inputs refer to data that is openly known and shared among all participants in a cryptographic computation, such as a zero-knowledge proof. Unlike private inputs, these values are explicitly revealed and form part of the publicly verifiable statement. They serve as common knowledge or agreed-upon parameters that the prover and verifier both acknowledge. The integrity of the proof relies on both parties having access to these public values.

## What is the Role of Public Inputs?

In the context of zero-knowledge proofs, public inputs play a crucial role in establishing the common ground for verification. The prover generates a proof demonstrating the correctness of a computation involving both private and public inputs. The verifier then uses the public inputs and the generated proof to confirm the computation's validity without learning the private inputs. This mechanism ensures that the proof is universally verifiable against known parameters.

## What is the Application of Public Inputs?

In cryptocurrency, options trading, and financial derivatives, public inputs might include agreed-upon strike prices, expiration dates, or oracle-provided asset prices for a derivative contract. For scaling solutions, public inputs could be the root hash of a rollup's state or the batch of transactions being processed. These known values allow for transparent and auditable execution of financial logic, ensuring all parties operate from the same verifiable information base.


---

## [Public Verification Layer](https://term.greeks.live/term/public-verification-layer/)

Meaning ⎊ A Public Verification Layer serves as the foundational cryptographic audit trail for decentralized derivatives to ensure settlement integrity. ⎊ Term

## [Circuit Verification](https://term.greeks.live/term/circuit-verification/)

Meaning ⎊ Circuit Verification provides a cryptographic guarantee that complex off-chain financial computations conform to predefined protocol rules for secure settlement. ⎊ Term

## [Arithmetic Circuits](https://term.greeks.live/term/arithmetic-circuits/)

Meaning ⎊ Arithmetic circuits enable the transformation of financial logic into verifiable mathematical proofs, ensuring private and trustless settlement. ⎊ Term

## [Regulatory Proofs](https://term.greeks.live/term/regulatory-proofs/)

Meaning ⎊ Regulatory Proofs provide cryptographic verification of financial compliance and solvency without compromising participant privacy or proprietary data. ⎊ Term

## [Public Blockchain Matching Engines](https://term.greeks.live/term/public-blockchain-matching-engines/)

Meaning ⎊ Public Blockchain Matching Engines provide a transparent, deterministic framework for global liquidity coordination, replacing trust with verifiable code. ⎊ Term

## [ZK SNARK Solvency Proof](https://term.greeks.live/term/zk-snark-solvency-proof/)

Meaning ⎊ ZK SNARK Solvency Proof utilizes zero-knowledge cryptography to provide continuous, private, and mathematically certain verification of entity solvency. ⎊ Term

## [Zero-Knowledge KYC](https://term.greeks.live/term/zero-knowledge-kyc/)

Meaning ⎊ ZK-KYC uses cryptographic proofs to allow users to verify regulatory compliance without disclosing personal data, enhancing capital efficiency in decentralized derivatives markets. ⎊ Term

## [ZK-Proof Margin Verification](https://term.greeks.live/term/zk-proof-margin-verification/)

Meaning ⎊ ZK-Proof Margin Verification utilizes cryptographic assertions to guarantee participant solvency and systemic stability without exposing private balance data. ⎊ Term

## [Zero-Knowledge Circuit Design](https://term.greeks.live/term/zero-knowledge-circuit-design/)

Meaning ⎊ Zero-Knowledge Circuit Design translates financial logic into verifiable cryptographic proofs, enabling private and scalable derivatives trading on public blockchains. ⎊ Term

## [Public Mempool](https://term.greeks.live/term/public-mempool/)

Meaning ⎊ The public mempool exposes pending options order flow, creating an adversarial environment that requires new pricing models and advanced mitigation strategies for market resilience. ⎊ Term

## [Black-Scholes-Merton Inputs](https://term.greeks.live/term/black-scholes-merton-inputs/)

Meaning ⎊ Black-Scholes-Merton Inputs are the critical parameters for calculating theoretical option prices, but their application in crypto markets requires significant adjustments to account for unique volatility dynamics and the absence of a true risk-free rate. ⎊ Term

## [Black-Scholes Model Inputs](https://term.greeks.live/term/black-scholes-model-inputs/)

Meaning ⎊ The Black-Scholes inputs provide the core framework for valuing options, but their application in crypto requires significant adjustments to account for unique market volatility and protocol risk. ⎊ Term

## [Black-Scholes Inputs](https://term.greeks.live/term/black-scholes-inputs/)

Meaning ⎊ Black-Scholes Inputs are the parameters used to price options, requiring adaptation in crypto to account for non-stationary volatility and the absence of a true risk-free rate. ⎊ Term

---

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---

**Original URL:** https://term.greeks.live/area/public-inputs/