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Zero-knowledge proofs (zk-Proofs) are communication protocols by which a prover can demonstrate to a verifier that it possesses a solution to a given public problem without revealing the content of the solution. Arbitrary computations can…

Cryptography and Security · Computer Science 2024-01-08 Armando Cruz

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 proof (ZKP) systems have surged attention and held a fundamental role in contemporary cryptography. Zero-knowledge succinct non-interactive argument of knowledge (zk-SNARK) protocols dominate the ZKP usage, implemented…

Software Engineering · Computer Science 2025-12-23 Qizhe Yang , Boxuan Liang , Hao Chen , Guoqiang Li

Zero-knowledge circuits are sets of equality constraints over arithmetic expressions interpreted in a prime field; they are used to encode computations in cryptographic zero-knowledge proofs. We make the following contributions to the…

Logic in Computer Science · Computer Science 2023-11-16 Alessandro Coglio , Eric McCarthy , Eric W. Smith

Zero-knowledge (ZK) protocols enable software developers to provide proofs of their programs' correctness to other parties without revealing the programs themselves. Regular expressions are pervasive in real-world software, and…

Cryptography and Security · Computer Science 2025-04-03 John Kolesar , Shan Ali , Timos Antonopoulos , Ruzica Piskac

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…

We introduce a technology to formally verify that a software system satisfies a temporal specification of functional correctness, without revealing the system itself. Our method combines a deductive approach to model checking to obtain a…

Cryptography and Security · Computer Science 2026-05-04 Pascal Berrang , Mirco Giacobbe , Jacob Swales , Xiao Yang

We present the first constructions of single-prover proof systems that achieve perfect zero knowledge (PZK) for languages beyond NP, under no intractability assumptions: 1. The complexity class #P has PZK proofs in the model of Interactive…

Computational Complexity · Computer Science 2016-10-13 Eli Ben-Sasson , Alessandro Chiesa , Michael A. Forbes , Ariel Gabizon , Michael Riabzev , Nicholas Spooner

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

The modern integrated circuit ecosystem is increasingly reliant on third-party intellectual property integration, which introduces security risks, including hardware Trojans and security vulnerabilities. Addressing the resulting trust…

Cryptography and Security · Computer Science 2026-04-13 Sirui Shen , Zunchen Huang , Chenglu Jin

Multiple sequence alignment (MSA) is a fundamental algorithm in bioinformatics. In a situation when the alignment might need to be protected while revealing the other information such the input sequences and the alignment score, zero…

Cryptography and Security · Computer Science 2024-05-01 Worasait Suwannik

Verifying that a compiled binary originates from its claimed source code is a fundamental security requirement, called source code provenance. Achieving verifiable source code provenance in practice remains challenging. The most popular…

Software Engineering · Computer Science 2026-02-13 Javier Ron , Martin Monperrus

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…

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

This survey provides a comprehensive examination of verifiable computing, tracing its evolution from foundational complexity theory to modern zero-knowledge succinct non-interactive arguments of knowledge (ZK-SNARKs). We explore key…

Logic in Computer Science · Computer Science 2025-01-13 Angold Wang

Recent advances in artificial intelligence (AI), particularly deep learning, have led to widespread adoption across various applications. Yet, a fundamental challenge persists: how can we verify the correctness of AI model inference when…

Cryptography and Security · Computer Science 2025-11-26 Yunxiao Wang

Zero-Knowledge Proofs (ZKPs) are a cryptographic primitive that allows a prover to demonstrate knowledge of a secret value to a verifier without revealing anything about the secret itself. ZKPs have shown to be an extremely powerful tool,…

Cryptography and Security · Computer Science 2025-04-29 Nojan Sheybani , Anees Ahmed , Michel Kinsy , Farinaz Koushanfar

Zero-knowledge proofs are an essential building block in many privacy-preserving systems. However, implementing these proofs is tedious and error-prone. In this paper, we present zksk, a well-documented Python library for defining and…

Cryptography and Security · Computer Science 2019-11-12 Wouter Lueks , Bogdan Kulynych , Jules Fasquelle , Simon Le Bail-Collet , Carmela Troncoso

Zero-knowledge succinct non-interactive arguments of knowledge (zk-SNARKs) are a powerful tool for proving computation correctness, attracting significant interest from researchers, developers, and users. However, the complexity of…

Cryptography and Security · Computer Science 2025-02-06 Junkai Liang , Daqi Hu , Pengfei Wu , Yunbo Yang , Qingni Shen , Zhonghai Wu

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
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