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Verification of programs using floating-point arithmetic is challenging on several accounts. One of the difficulties of reasoning about such programs is due to the peculiarities of floating-point arithmetic: rounding errors, infinities,…

Programming Languages · Computer Science 2022-06-23 Roberto Bagnara , Abramo Bagnara , Fabio Biselli , Michele Chiari , Roberta Gori

In quantum zero knowledge, the assumption was made that the verifier is only using unitary operations. Under this assumption, many nice properties have been shown about quantum zero knowledge, including the fact that Honest-Verifier Quantum…

Quantum Physics · Physics 2008-10-27 André Chailloux , Iordanis Kerenidis

The Rust programming language provides a powerful type system that checks linearity and borrowing, allowing code to safely manipulate memory without garbage collection and making Rust ideal for developing low-level, high-assurance systems.…

Logic in Computer Science · Computer Science 2023-03-14 Andrea Lattuada , Travis Hance , Chanhee Cho , Matthias Brun , Isitha Subasinghe , Yi Zhou , Jon Howell , Bryan Parno , Chris Hawblitzel

One of the effective model checking methods is to utilize the efficient decision procedure of SAT (or SMT) solvers. In a SAT-based model checking, a system and its property are encoded into a set of logic formulas and the safety is checked…

Logic in Computer Science · Computer Science 2022-03-14 Daisuke Ishii , Saito Fujii

The demonstrated code-understanding capability of LLMs raises the question of whether they can be used for automated program verification, a task that demands high-level abstract reasoning about program properties that is challenging for…

Formal Languages and Automata Theory · Computer Science 2024-04-26 Haoze Wu , Clark Barrett , Nina Narodytska

This paper describes techniques to help with COVID-19 automated contact tracing, and with the restoration efforts. We describe a decentralized protocol for ``proof-of-contact'' in zero knowledge where a person can publish a short…

Cryptography and Security · Computer Science 2020-07-21 Zachary Ratliff , Joud Khoury

An autonomous AI ecosystem (SUBSTRATE S3), generating product specifications without explicit instructions about formal methods, independently proposed the use of Z3 SMT solver across six distinct domains of AI safety: verification of…

Software Engineering · Computer Science 2026-03-27 Octavian Untila

Program verification tools are often implemented as front-end translations of an input program into an intermediate verification language (IVL) such as Boogie, GIL, Viper, or Why3. The resulting IVL program is then verified using an…

Programming Languages · Computer Science 2024-12-23 Thibault Dardinier , Michael Sammler , Gaurav Parthasarathy , Alexander J. Summers , Peter Müller

We consider first the zero-nonzero determination problem, which consists in determining the list of zero-nonzero conditions realized by a finite list of polynomials on a finite set Z included in C^k with C an algebraic closed field. We…

Algebraic Geometry · Mathematics 2013-05-20 Daniel Perrucci , Marie-Francoise Roy

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

Zero-knowledge proof (ZKP) frameworks have the potential to revolutionize the handling of sensitive data in various domains. However, deploying ZKP frameworks with real-world data presents several challenges, including scalability,…

Cryptography and Security · Computer Science 2023-07-14 Piergiuseppe Mallozzi

The companion paper introduced a four-level verification lattice on agent-skill manifests (unverified, declared, tested, formal) and left the top level aspirational. This paper closes that gap. We give a precise semantics for skill…

Artificial Intelligence · Computer Science 2026-05-26 Alfredo Metere

As AI models become ubiquitous in our daily lives, there has been an increasing demand for transparency in ML services. However, the model owner does not want to reveal the weights, as they are considered trade secrets. To solve this…

Cryptography and Security · Computer Science 2025-07-14 Bing-Jyue Chen , Lilia Tang , Daniel Kang

Recent developments in Large Language Models (LLMs) have shown promise in automating code generation, yet the generated programs lack rigorous correctness guarantees. Formal verification can address this shortcoming, but requires expertise…

Formal Languages and Automata Theory · Computer Science 2025-08-27 Niclas Hertzberg , Merlijn Sevenhuijsen , Liv Kåreborn , Anna Lokrantz

In the last three decades, memory safety issues in system programming languages such as C or C++ have been one of the significant sources of security vulnerabilities. However, there exist only a few attempts with limited success to cope…

Software Engineering · Computer Science 2021-07-05 Felipe R. Monteiro , Mikhail R. Gadelha , Lucas C. Cordeiro

Reliable verification of proofs remains a bottleneck for training and evaluating AI systems on hard mathematical reasoning. Fully formal proofs, in languages like Lean, are easy to verify because they are unambiguous and modular. Most…

Logic in Computer Science · Computer Science 2026-05-21 Slim Barkallah , Luke Bailey , Kaiyue Wen , Mohammed Abouzaid , Tengyu Ma

Despite the vast body of research literature proposing algorithms with formal guarantees, the amount of verifiable code in today's systems remains minimal. This discrepancy stems from the inherent difficulty of verifying code, particularly…

Software Engineering · Computer Science 2025-01-10 Changjie Wang , Mariano Scazzariello , Marco Chiesa

We present a tool for verification of deterministic programs with shared mutable references against specifications such as assertions, preconditions, postconditions, and read/write effects. We implement our tool by encoding programs with…

Logic in Computer Science · Computer Science 2021-03-16 Georg Schmid , Viktor Kunčak

We present VOQC, the first fully verified optimizer for quantum circuits, written using the Coq proof assistant. Quantum circuits are expressed as programs in a simple, low-level language called SQIR, a simple quantum intermediate…

Programming Languages · Computer Science 2020-11-16 Kesha Hietala , Robert Rand , Shih-Han Hung , Xiaodi Wu , Michael Hicks

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
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