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As Artificial Intelligence (AI) systems, particularly those based on machine learning (ML), become integral to high-stakes applications, their probabilistic and opaque nature poses significant challenges to traditional verification and…

Software Engineering · Computer Science 2025-05-27 Filippo Scaramuzza , Giovanni Quattrocchi , Damian A. Tamburri

Machine learning is increasingly deployed through outsourced and cloud-based pipelines, which improve accessibility but also raise concerns about computational integrity, data privacy, and model confidentiality. Zero-knowledge proofs (ZKPs)…

Cryptography and Security · Computer Science 2026-03-31 Zhizhi Peng , Chonghe Zhao , Taotao Wang , Guofu Liao , Zibin Lin , Yifeng Liu , Bin Cao , Long Shi , Qing Yang , Shengli Zhang

In the context of cloud computing, services are held on cloud servers, where the clients send their data to the server and obtain the results returned by server. However, the computation, data and results are prone to tampering due to the…

Cryptography and Security · Computer Science 2025-04-17 Yancheng Zhang , Mengxin Zheng , Xun Chen , Jingtong Hu , Weidong Shi , Lei Ju , Yan Solihin , Qian Lou

We study the notion of zero-knowledge secure against quantum polynomial-time verifiers (referred to as quantum zero-knowledge) in the concurrent composition setting. Despite being extensively studied in the classical setting, concurrent…

Quantum Physics · Physics 2021-07-20 Prabhanjan Ananth , Kai-Min Chung , Rolando L. La Placa

Zero-Knowledge Proofs (ZKP) are protocols which construct cryptographic proofs to demonstrate knowledge of a secret input in a computation without revealing any information about the secret. ZKPs enable novel applications in private and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-30 Tarunesh Verma , Yichao Yuan , Nishil Talati , Todd Austin

We present ZK-SecreC, a domain-specific language for zero-knowledge proofs. We present the rationale for its design, its syntax and semantics, and demonstrate its usefulness on the basis of a number of non-trivial examples. The design…

Zero-knowledge proofs (ZKPs) are increasingly deployed in domains such as privacy-preserving authentication, verifiable computation, and secure finance. However, authoring ZK programs remains challenging: unlike conventional software…

Software Engineering · Computer Science 2026-02-03 Zhantong Xue , Pingchuan Ma , Zhaoyu Wang , Yuguang Zhou , Xiaoqin Zhang , Shuai Wang , Juergen Rahmel

In a proof of knowledge (PoK), a verifier becomes convinced that a prover possesses privileged information. In combination with zero-knowledge proof systems, PoKs play an important role in security protocols such as in digital signatures…

Quantum Physics · Physics 2025-06-17 Anne Broadbent , Alex B. Grilo , Nagisa Hara , Arthur Mehta

Elliptic Curve Cryptography (ECC) is an attractive alternative to conventional public key cryptography, such as RSA. ECC is an ideal candidate for implementation on constrained devices where the major computational resources i.e. speed,…

Cryptography and Security · Computer Science 2015-03-19 Ioannis Chatzigiannakis , Apostolos Pyrgelis , Paul G. Spirakis , Yannis C. Stamatiou

Zero-knowledge proofs (ZKPs) are an emerging technology that has become the solution to efficiently provide security and privacy along with the transparency requirement of blockchains. ZKPs are usually expressed by means of arithmetic…

Logic in Computer Science · Computer Science 2026-04-30 Miguel Isabel , Enric Rodríguez-Carbonell , Clara Rodríguez-Núñez , Albert Rubio

Zero-knowledge proof (ZKP) is a fundamental cryptographic primitive that allows a prover to convince a verifier of the validity of a statement without leaking any further information. As an efficient variant of ZKP, non-interactive…

We show that for every polynomial q* there exist polynomial-size, constant-query, non-adaptive PCPs for NP which are perfect zero knowledge against (adaptive) adversaries making at most q* queries to the proof. In addition, we construct…

Computational Complexity · Computer Science 2024-11-13 Tom Gur , Jack O'Connor , Nicholas Spooner

Zero-Knowledge (ZK) proof systems are cryptographic protocols that can (with overwhelming probability) demonstrate that the pair $(X, W)$ is in a relation $R$ without revealing information about the private input $W$. This membership…

Cryptography and Security · Computer Science 2026-01-15 Pedro Antonino , Namrata Jain

Zero-knowledge proofs (ZKPs) enable computational integrity and privacy by allowing one party to prove the truth of a statement without revealing underlying data. Compared with alternatives such as homomorphic encryption and secure…

Cryptography and Security · Computer Science 2026-04-14 Ryan Lavin , Xuekai Liu , Hardhik Mohanty , Logan Norman , Giovanni Zaarour , Bhaskar Krishnamachari

This paper proves that several interactive proof systems are zero-knowledge against quantum attacks. This includes a few well-known classical zero-knowledge proof systems as well as quantum interactive proof systems for the complexity class…

Quantum Physics · Physics 2007-05-23 John Watrous

Zero-knowledge (ZK) proof systems have emerged as a promising solution for building security-sensitive applications. However, bugs in ZK applications are extremely difficult to detect and can allow a malicious party to silently exploit the…

Cryptography and Security · Computer Science 2023-04-19 Junrui Liu , Ian Kretz , Hanzhi Liu , Bryan Tan , Jonathan Wang , Yi Sun , Luke Pearson , Anders Miltner , Işıl Dillig , Yu Feng

Zero-Knowledge Proofs (ZKPs) are rapidly gaining importance in privacy-preserving and verifiable computing. ZKPs enable a proving party to prove the truth of a statement to a verifying party without revealing anything else. ZKPs have…

Hardware Architecture · Computer Science 2025-08-07 Alhad Daftardar , Jianqiao Mo , Joey Ah-kiow , Benedikt Bünz , Ramesh Karri , Siddharth Garg , Brandon Reagen

In 2012, Groth, et al. [J. ACM, 59 (3), 1-35, 2012] developed some new techniques for noninteractive zero-knowledge (NIZK) and presented: the first perfect NIZK argument system for all NP; the first universally composable NIZK argument for…

Cryptography and Security · Computer Science 2018-05-17 Zhengjun Cao , Lihua Liu

We study the implications of the existence of weak Zero-Knowledge (ZK) protocols for worst-case hard languages. These are protocols that have completeness, soundness, and zero-knowledge errors (denoted $\epsilon_c$, $\epsilon_s$, and…

Cryptography and Security · Computer Science 2026-02-19 Rohit Chatterjee , Yunqi Li , Prashant Nalini Vasudevan

Ensuring the integrity of business processes without disclosing confidential business information is a major challenge in inter-organizational processes. This paper introduces a zero-knowledge proof (ZKP)-based approach for the verifiable…

Software Engineering · Computer Science 2025-09-25 Jannis Kiesel , Jonathan Heiss