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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

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

How someone can get health insurance without sharing his health information? How you can get a loan without disclosing your credit score? There is a method to certify certain attributes of various data, either this is health metrics or…

Cryptography and Security · Computer Science 2020-06-18 Stavros Kassaras , Leandros Maglaras

We give upper and lower bounds on the power of subsystems of the Ideal Proof System (IPS), the algebraic proof system recently proposed by Grochow and Pitassi, where the circuits comprising the proof come from various restricted algebraic…

Computational Complexity · Computer Science 2016-06-17 Michael A. Forbes , Amir Shpilka , Iddo Tzameret , Avi Wigderson

Privacy concerns in machine learning systems have grown significantly with the increasing reliance on sensitive user data for training large-scale models. This paper introduces a novel framework combining Probably Approximately Correct…

Cryptography and Security · Computer Science 2026-02-13 Guilhem Repetto , Nojan Sheybani , Gabrielle De Micheli , Farinaz Koushanfar

Zero-knowledge proofs (ZKPs) are widely applied in digital economies, such as cryptocurrencies and smart contracts, for establishing trust and ensuring privacy between untrusted parties. However, almost all ZKPs rely on unproven…

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

Protecting secrets is a key challenge in our contemporary information-based era. In common situations, however, revealing secrets appears unavoidable, for instance, when identifying oneself in a bank to retrieve money. In turn, this may…

Cryptography and Security · Computer Science 2022-02-17 Pouriya Alikhani , Nicolas Brunner , Claude Crépeau , Sébastien Designolle , Raphaël Houlmann , Weixu Shi , Nan Yang , Hugo Zbinden

Zero-knowledge proof system is an important protocol that can be used as a basic block for construction of other more complex cryptographic protocols. An intrinsic characteristic of a zero-knowledge systems is the assumption that is…

Quantum Physics · Physics 2007-05-23 Jose Claudio do Nascimento , Rubens Viana Ramos

To cater to the needs of (Zero Knowledge) proofs for (mathematical) proofs, we describe a method to transform formal sentences in 2x2-matrices over multivariate polynomials with integer coefficients, such that usual proof-steps like…

Logic · Mathematics 2025-09-17 Mihai Prunescu

A major difficulty in quantum rewinding is the fact that measurement is destructive: extracting information from a quantum state irreversibly changes it. This is especially problematic in the context of zero-knowledge simulation, where…

Cryptography and Security · Computer Science 2021-11-25 Alex Lombardi , Fermi Ma , Nicholas Spooner

In this paper, we create a single-use and full syntax zero-knowledge proof system, a.k.a zk-Fabric. Comparing with zk-SNARKS and another variant zero-knowledge proofing system, zkBOO and it's variant zkBOO++. We present multiple new…

Cryptography and Security · Computer Science 2024-09-04 Sheng Sun , Tong Wen

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

Zero-knowledge proofs are mathematical cryptographic methods to demonstrate the validity of a claim while providing no further information beyond the claim itself. The possibility of using such proofs to process classified and other…

Instrumentation and Detectors · Physics 2016-12-02 Sébastien Philippe , Robert J. Goldston , Alexander Glaser , Francesco d'Errico

Distributed certification is a set of mechanisms that allows an all-knowing prover to convince the units of a communication network that the network's state has some desired property, such as being 3-colorable or triangle-free. Classical…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-12 Alex B. Grilo , Ami Paz , Mor Perry

While the amount of data produced and accumulated continues to advance at unprecedented rates, protection and concealment of data increase its prominence as a field of scientific study that requires more action. It is essential to protect…

Cryptography and Security · Computer Science 2023-02-14 Cansu Betin Onur

In a recent seminal work, Bitansky and Shmueli (STOC '20) gave the first construction of a constant round zero-knowledge argument for NP secure against quantum attacks. However, their construction has several drawbacks compared to the…

Quantum Physics · Physics 2023-10-31 Nai-Hui Chia , Kai-Min Chung , Takashi Yamakawa

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

Since the concern of privacy leakage extremely discourages user participation in sharing data, federated learning has gradually become a promising technique for both academia and industry for achieving collaborative learning without leaking…

Cryptography and Security · Computer Science 2023-04-25 Zhibo Xing , Zijian Zhang , Meng Li , Jiamou Liu , Liehuang Zhu , Giovanni Russello , Muhammad Rizwan Asghar

The foundation of zero-knowledge is the simulator: a weak machine capable of pretending to be a weak verifier talking with all-powerful provers. To achieve this, simulators need some kind of advantage such as the knowledge of a trapdoor. In…

Quantum Physics · Physics 2019-07-31 Claude Crépeau , Nan Yang