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GitHub's Copilot generates code quickly. We investigate whether it generates good code. Our approach is to identify a set of problems, ask Copilot to generate solutions, and attempt to formally verify these solutions with Dafny. Our formal…

Software Engineering · Computer Science 2022-10-28 Dakota Wong , Austin Kothig , Patrick Lam

Our research is part of a wider project that aims to investigate and reason about the correctness of scheme-based source code transformations of Erlang programs. In order to formally reason about the definition of a programming language and…

Programming Languages · Computer Science 2020-08-19 Péter Bereczky , Dániel Horpácsi , Simon Thompson

We describe a general and safe computational framework that provides integer programming results with the degree of certainty that is required for machine-assisted proofs of mathematical theorems. At its core, the framework relies on a…

Combinatorics · Mathematics 2020-09-22 Leon Eifler , Ambros Gleixner , Jonad Pulaj

Dafny is a verification-aware programming language that comes with a compiler and static program verifier. However, neither the compiler nor the verifier is proved correct; in fact, soundness bugs have been found in both tools. This paper…

Programming Languages · Computer Science 2025-12-08 Daniel Nezamabadi , Magnus O. Myreen , Yong Kiam Tan

Most integrated development environments are shipped with refactoring tools. However, their refactoring operations are often known to be unreliable. As a consequence, developers have to test their code after applying an automatic…

Programming Languages · Computer Science 2016-07-11 Julien Cohen

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

For all the successes in verifying low-level, efficient, security-critical code, little has been said or studied about the structure, architecture and engineering of such large-scale proof developments. We present the design, implementation…

Programming Languages · Computer Science 2023-07-10 Son Ho , Aymeric Fromherz , Jonathan Protzenko

Formal verification using proof assistants, such as Coq, is an effective way of improving software quality, but requires significant effort and expertise. Machine learning can automatically synthesize proofs, but such tools are able to…

Logic in Computer Science · Computer Science 2026-04-08 Saketh Ram Kasibatla , Arpan Agarwal , Yuriy Brun , Sorin Lerner , Talia Ringer , Emily First

Adding rewriting to a proof assistant based on the Curry-Howard isomorphism, such as Coq, may greatly improve usability of the tool. Unfortunately adding an arbitrary set of rewrite rules may render the underlying formal system undecidable…

Logic in Computer Science · Computer Science 2015-07-01 Daria Walukiewicz-Chrzaszcz , Jacek Chrzaszcz

We explore an approach to verification of programs via program transformation applied to an interpreter of a programming language. A specialization technique known as Turchin's supercompilation is used to specialize some interpreters with…

Programming Languages · Computer Science 2017-08-31 Alexei P. Lisitsa , Andrei P. Nemytykh

Formally verifying properties of software code has been a highly desirable task, especially with the emergence of LLM-generated code. In the same vein, they provide an interesting avenue for the exploration of formal verification and…

Artificial Intelligence · Computer Science 2025-10-02 Balaji Rao , William Eiers , Carlo Lipizzi

Parsing is an important problem in computer science and yet surprisingly little attention has been devoted to its formal verification. In this paper, we present TRX: a parser interpreter formally developed in the proof assistant Coq,…

Logic in Computer Science · Computer Science 2015-07-01 Adam Koprowski , Henri Binsztok

Large language models (LLMs) have become increasingly prominent in academia and industry due to their remarkable performance in diverse applications. As these models evolve with increasing parameters, they excel in tasks like sentiment…

Machine Learning · Computer Science 2023-11-14 Le Chen , Arijit Bhattacharjee , Nesreen K. Ahmed , Niranjan Hasabnis , Gal Oren , Bin Lei , Ali Jannesari

We explore an approach to verification of programs via program transformation applied to an interpreter of a programming language. A specialization technique known as Turchin's supercompilation is used to specialize some interpreters with…

Programming Languages · Computer Science 2017-05-22 Alexei P. Lisitsa , Andrei P. Nemytykh

In this position paper, we posit that a major Department of Energy (DOE)-funded open-source quantum compilation platform is needed to facilitate: (a) resource optimization at the fault-tolerant layer of the quantum computing software stack,…

Quantum Physics · Physics 2024-03-05 Tyler LeBlond , Xiao Xiao , Eugene Dumitrescu , Ryan Bennink , Alexandru Paler

Formal verification via theorem proving enables the expressive specification and rigorous proof of software correctness, but it is difficult to scale due to the significant manual effort and expertise required. While Large Language Models…

Software Engineering · Computer Science 2025-10-30 Minghai Lu , Zhe Zhou , Danning Xie , Songlin Jia , Benjamin Delaware , Tianyi Zhang

Quorum systems are a powerful mechanism for ensuring the consistency of replicated data. Production systems usually opt for majority quorums due to their simplicity and fault tolerance, but majority quorum systems provide poor throughput…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-12 Michael Whittaker , Aleksey Charapko , Joseph M. Hellerstein , Heidi Howard , Ion Stoica

We describe several views of the semantics of a simple programming language as formal documents in the calculus of inductive constructions that can be verified by the Coq proof system. Covered aspects are natural semantics, denotational…

Logic in Computer Science · Computer Science 2007-07-10 Yves Bertot

We propose a new formal criterion for secure compilation, providing strong security guarantees for components written in unsafe, low-level languages with C-style undefined behavior. Our criterion goes beyond recent proposals, which protect…

Theory-guided machine learning has demonstrated that including authentic domain knowledge directly into model design improves performance, sample efficiency and out-of-distribution generalisation. Yet the process by which a formal domain…

Machine Learning · Computer Science 2026-03-17 Asela Hevapathige , Yu Xia , Sachith Seneviratne , Saman Halgamuge