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Interactive theorem provers (ITPs) are powerful tools for the formal verification of mathematical proofs down to the axiom level. However, their lack of a natural language interface remains a significant limitation. Recent advancements in…

Logic in Computer Science · Computer Science 2025-07-01 Xiaolin Hu , Qinghua Zhou , Bogdan Grechuk , Ivan Y. Tyukin

The Curry-Howard correspondence is about a relationship between types and programs on the one hand and propositions and proofs on the other. The implications for programming language design and program verification is an active field of…

Programming Languages · Computer Science 2015-09-15 Jørgen Steensgaard-Madsen

The breakneck evolution of modern programming languages aggravates the development of deductive verification tools, which struggle to timely and fully support all new language features. To address this challenge, we present ByteBack: a…

Programming Languages · Computer Science 2024-10-03 Marco Paganoni , Carlo A. Furia

The Message Passing Interface specification (MPI) defines a portable message-passing API used to program parallel computers. MPI programs manifest a number of challenges on what concerns correctness: sent and expected values in…

Programming Languages · Computer Science 2015-08-21 César Santos , Francisco Martins , Vasco Thudichum Vasconcelos

Modern program verifiers use the same uniform program text to both specify and implement programs. The program text is also used to provide the necessary guidance to ensure that the program satisfies its specification. The amount of…

Software Engineering · Computer Science 2017-06-14 Gudmund Grov , Duncan Cameron , Leon McGregor

Formal verification provides mathematical guarantees that a software is correct. Design-level verification tools ensure software specifications are correct, but they do not expose defects in actual implementations. For this purpose,…

Software Engineering · Computer Science 2025-05-01 Paschal C. Amusuo , Parth V. Patil , Owen Cochell , Taylor Le Lievre , James C. Davis

Ensuring that API implementations and usage comply with natural language programming rules is critical for software correctness, security, and reliability. Formal verification can provide strong guarantees but requires precise…

Programming Languages · Computer Science 2026-02-06 Shihao Xia , Mengting He , Haomin Jia , Linhai Song

Formal verification provides the highest assurance of software correctness and security, but its application to large-scale, evolving systems remains a major challenge. While large language models (LLMs) have shown promise in automating…

Software Engineering · Computer Science 2026-05-06 Yuwei Liu , Xinyi Wan , Yanhao Wang , Minghua Wang , Lin Huang , Tao Wei

Autoformalization, the process of transforming informal mathematical language into formal specifications and proofs remains a difficult task for state-of-the-art (large) language models. Existing works point to competing explanations for…

Artificial Intelligence · Computer Science 2025-02-25 Willy Chan , Michael Souliman , Jakob Nordhagen , Brando Miranda , Elyas Obbad , Kai Fronsdal Sanmi Koyejo

Program verification is to develop the program's proof system, and to prove the proof system soundness with respect to a trusted operational semantics of the program. However, many practical program verifiers are not based on operational…

Logic in Computer Science · Computer Science 2021-02-09 ShangBei Wang

In this report, we present the preliminary work developed for our research project for the APDC (\'Area Pr\'atica de Desenvolvimento Curricular) course. The main goal of this project is to develop a framework, on top of the Why3 tool, for…

Logic in Computer Science · Computer Science 2020-12-02 Tiago Lopes Soares

Python has become the dominant language for general-purpose programming, yet it lacks robust tools for formal verification. In contrast, programmers working in languages such as C benefit from mature model checkers, for example CBMC, which…

Software Engineering · Computer Science 2025-08-12 Pedro Orvalho , Marta Kwiatkowska

We present the PML 2 language, which provides a uniform environment for programming, and for proving properties of programs in an ML-like setting. The language is Curry-style and call-by-value, it provides a control operator (interpreted in…

Logic in Computer Science · Computer Science 2019-01-11 Rodolphe Lepigre

In this paper, we present VerifyML, the first secure inference framework to check the fairness degree of a given Machine learning (ML) model. VerifyML is generic and is immune to any obstruction by the malicious model holder during the…

Cryptography and Security · Computer Science 2022-10-18 Guowen Xu , Xingshuo Han , Gelei Deng , Tianwei Zhang , Shengmin Xu , Jianting Ning , Anjia Yang , Hongwei Li

We present a novel verification technique to prove interesting properties of a class of array programs with a symbolic parameter N denoting the size of arrays. The technique relies on constructing two slightly different versions of the same…

Programming Languages · Computer Science 2021-07-05 Supratik Chakraborty , Ashutosh Gupta , Divyesh Unadkat

The verification systems Boogie and Why3 use their respective intermediate languages to generate verification conditions from high-level programs. Since the two systems support different back-end provers (such as Z3 and Alt-Ergo) and are…

Logic in Computer Science · Computer Science 2016-04-04 Michael Ameri , Carlo A. Furia

Molly is a program that compiles cryptographic protocol roles written in a high-level notation into straight-line programs in an intermediate-level imperative language, suitable for implementation in a conventional programming language. We…

Cryptography and Security · Computer Science 2023-11-27 Daniel J. Dougherty , Joshua D. Guttman

Many tools used to process programs, like compilers, analyzers, or verifiers, perform transformations on their intermediate program representation, like abstract syntax trees. Implementing such program transformations is a non-trivial task,…

Programming Languages · Computer Science 2026-01-21 Michael Hanus , Steven Libby

In this paper, we present our ongoing work and initial results on the formal specification and verification of MiniMaple (a substantial subset of Maple with slight extensions) programs. The main goal of our work is to find behavioral errors…

Mathematical Software · Computer Science 2012-07-11 Muhammad Taimoor Khan , Wolfgang Schreiner

Array-intensive programs are often amenable to parallelization across many cores on a single machine as well as scaling across multiple machines and hence are well explored, especially in the domain of high-performance computing. These…

Programming Languages · Computer Science 2019-05-23 Kunal Banerjee , Chandan Karfa
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