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As the usage of theorem prover technology expands, so too does the reliance on correctness of the tools. Metamath Zero is a verification system that aims for simplicity of logic and implementation, without compromising on efficiency of…

Logic in Computer Science · Computer Science 2020-03-31 Mario Carneiro

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

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

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

This article describes the development and formal verification (proof of semantic preservation) of a compiler back-end from Cminor (a simple imperative intermediate language) to PowerPC assembly code, using the Coq proof assistant both for…

Logic in Computer Science · Computer Science 2009-11-14 Xavier Leroy

Zero-knowledge (ZK) protocols have recently found numerous practical applications, such as in authentication, online-voting, and blockchain systems. These protocols are powered by highly complex pipelines that process deterministic…

Software Engineering · Computer Science 2024-11-05 Christoph Hochrainer , Anastasia Isychev , Valentin Wüstholz , Maria Christakis

Software for mixed-integer linear programming can return incorrect results for a number of reasons, one being the use of inexact floating-point arithmetic. Even solvers that employ exact arithmetic may suffer from programming or algorithmic…

Optimization and Control · Mathematics 2019-01-03 Kevin K. H. Cheung , Ambros Gleixner , Daniel E. Steffy

Cyber-physical systems (CPS) such as autonomous cars, aircraft, and robots are often also safety-critical; thus it is imperative that they operate as intended with a high degree of certainty. Formal verification has been employed to verify…

Programming Languages · Computer Science 2026-05-07 Serra Z. Dane , Jiawei Chen , Marc Pouzet , Jean-Baptiste Jeannin

Zero-Knowledge Proofs (ZKPs) are an emergent paradigm in verifiable computing. In the context of applications like cloud computing, ZKPs can be used by a client (called the verifier) to verify the service provider (called the prover) is in…

Hardware Architecture · Computer Science 2024-08-13 Alhad Daftardar , Brandon Reagen , Siddharth Garg

Zero-knowledge proofs (ZKPs) have evolved from being a theoretical concept providing privacy and verifiability to having practical, real-world implementations, with SNARKs (Succinct Non-Interactive Argument of Knowledge) emerging as one of…

Cryptography and Security · Computer Science 2024-07-15 Stefanos Chaliasos , Jens Ernstberger , David Theodore , David Wong , Mohammad Jahanara , Benjamin Livshits

Identity verification is the process of confirming an individual's claimed identity, which is essential in sectors like finance, healthcare, and online services to ensure security and prevent fraud. However, current password/PIN-based…

Cryptography and Security · Computer Science 2025-07-22 Yao Ma , Wen Yu Kon , Jefferson Chu , Kevin Han Yong Loh , Kaushik Chakraborty , Charles Lim

A non-interactive ZK (NIZK) proof enables verification of NP statements without revealing secrets about them. However, an adversary that obtains a NIZK proof may be able to clone this proof and distribute arbitrarily many copies of it to…

Cryptography and Security · Computer Science 2024-09-25 Ruta Jawale , Dakshita Khurana

Zero-knowledge proofs (ZKPs) have evolved from a theoretical cryptographic concept into a powerful tool for implementing privacy-preserving and verifiable applications without requiring trust assumptions. Despite significant progress in the…

Cryptography and Security · Computer Science 2025-05-01 Stefanos Chaliasos , Imam Al-Fath , Alastair Donaldson

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 proofs allow verification of computations without revealing private information. However, existing systems require memory proportional to the computation size, which has historically limited use in large-scale applications…

Cryptography and Security · Computer Science 2025-09-18 Logan Nye

Zero-Knowledge Proofs (ZKPs) have emerged as a powerful tool for secure and privacy-preserving computation. ZKPs enable one party to convince another of a statement's validity without revealing anything else. This capability has profound…

Hardware Architecture · Computer Science 2026-01-27 Alhad Daftardar , Jianqiao Mo , Joey Ah-kiow , Benedikt Bünz , Siddharth Garg , Brandon Reagen

Abstract interpreters are complex pieces of software: even if the abstract interpretation theory and companion algorithms are well understood, their implementations are subject to bugs, that might question the soundness of their…

Programming Languages · Computer Science 2021-10-19 Lucas Franceschino , David Pichardie , Jean-Pierre Talpin

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

Automatic software verification tools help to find hard-to-detect faults in programs checked against specified requirements non-interactively. Besides, they can prove program correctness formally under certain assumptions. These…

Software Engineering · Computer Science 2023-09-29 Ilja Zakharov , Evgeny Novikov , Ilya Shchepetkov

CairoZero is a programming language for running decentralized applications (dApps) at scale. Programs written in the CairoZero language are compiled to machine code for the Cairo CPU architecture and cryptographic protocols are used to…

Cryptography and Security · Computer Science 2025-01-28 Jeremy Avigad , Lior Goldberg , David Levit , Yoav Seginer , Alon Titelman