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Chain-of-Thought reasoning has emerged as a powerful approach for solving complex mathematical and logical problems. However, it can often veer off track through incorrect or unsubstantiated inferences. Formal mathematical reasoning, which…

Machine Learning · Computer Science 2026-02-16 Maria-Florina Balcan , Avrim Blum , Zhiyuan Li , Dravyansh Sharma

Formal theorem proving (FTP) has emerged as a critical foundation for evaluating the reasoning capabilities of large language models, enabling automated verification of mathematical proofs at scale. However, progress has been constrained by…

Logic in Computer Science · Computer Science 2026-05-19 Terry Jingchen Zhang , Wenyuan Jiang , Rongchuan Liu , Yisong Wang , Junran Yang , Ning Wang , Nicole Ni , Yinya Huang , Mrinmaya Sachan

In the past few years, Large Language Models (LLMs) have exploded in usefulness and popularity for code generation tasks. However, LLMs still struggle with accuracy and are unsuitable for high-risk applications without additional oversight…

Software Engineering · Computer Science 2024-10-29 William Murphy , Nikolaus Holzer , Feitong Qiao , Leyi Cui , Raven Rothkopf , Nathan Koenig , Mark Santolucito

Much algorithmic research in NLP aims to efficiently manipulate rich formal structures. An algorithm designer typically seeks to provide guarantees about their proposed algorithm -- for example, that its running time or space complexity is…

Programming Languages · Computer Science 2025-12-30 Tim Vieira , Ryan Cotterell , Jason Eisner

Verified artificial intelligence (AI) is the goal of designing AI-based systems that that have strong, ideally provable, assurances of correctness with respect to mathematically-specified requirements. This paper considers Verified AI from…

Artificial Intelligence · Computer Science 2020-07-24 Sanjit A. Seshia , Dorsa Sadigh , S. Shankar Sastry

Development of energy and performance-efficient embedded software is increasingly relying on application of complex transformations on the critical parts of the source code. Designers applying such nontrivial source code transformations are…

Logic in Computer Science · Computer Science 2011-11-09 K. C. Shashidhar , Maurice Bruynooghe , Francky Catthoor , Gerda Janssens

Answer Set Programming (ASP) is a powerful declarative programming paradigm commonly used for solving challenging search and optimization problems. The modeling languages of ASP are supported by sophisticated solving algorithms (solvers)…

Logic in Computer Science · Computer Science 2022-08-08 Zach Hansen

Ensuring correctness is crucial for code generation. Formal verification offers a definitive assurance of correctness, but demands substantial human effort in proof construction and hence raises a pressing need for automation. The primary…

Writing documentation about software internals is rarely considered a rewarding activity. It is highly time-consuming and the resulting documentation is fragile when the software is continuously evolving in a multi-developer setting.…

Software Engineering · Computer Science 2013-11-13 Tobias Kuhn , Alexandre Bergel

Still to this day, academic credentials are primarily paper-based, and the process to verify the authenticity of such documents is costly, time-consuming, and prone to human error and fraud. Digitally signed documents facilitate a…

Cryptography and Security · Computer Science 2021-09-27 Rodrigo Q. Saramago , Leander Jehl , Hein Meling , Vero Estrada-Galiñanes

Several methods have been proposed for classifying long textual documents using Transformers. However, there is a lack of consensus on a benchmark to enable a fair comparison among different approaches. In this paper, we provide a…

Computation and Language · Computer Science 2022-03-23 Hyunji Hayley Park , Yogarshi Vyas , Kashif Shah

Nowadays, formal methods are used in various areas for the verification of programs or for code generation from models in order to increase the quality of software and to reduce costs. However, there are still fields in which formal methods…

Software Engineering · Computer Science 2021-07-01 Matthias Weiß , Philipp Marks , Benjamin Maschler , Dustin White , Pascal Kesseli , Michael Weyrich

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

Compilers are a prime target for formal verification, since compiler bugs invalidate higher-level correctness guarantees, but compiler changes may become more labor-intensive to implement, if they must come with proof patches. One appealing…

Programming Languages · Computer Science 2025-03-12 Jason Gross , Andres Erbsen , Jade Philipoom , Rajashree Agrawal , Adam Chlipala

This paper introduces several techniques that improve the scalability of the deductive verification of data-level programs working on arrays and matrices. First of all, we introduce a technique to rewrite expressions with (nested)…

Software Engineering · Computer Science 2026-05-14 Lars B. van den Haak , Anton Wijs , Marieke Huisman

Synthetic verification techniques such as generating test cases and reward modelling are common ways to enhance the coding capabilities of large language models (LLM) beyond predefined tests. Additionally, code verification has recently…

Artificial Intelligence · Computer Science 2025-07-31 Aleksander Ficek , Somshubra Majumdar , Vahid Noroozi , Boris Ginsburg

Large language models are becoming increasingly practical for translating code across programming languages, a process known as $transpiling$. Even though automated transpilation significantly boosts developer productivity, a key concern is…

Software Engineering · Computer Science 2024-01-31 Hasan Ferit Eniser , Valentin Wüstholz , Maria Christakis

Increased demands in the field of scientific computation require that algorithms be more efficiently implemented. Maintaining correctness in addition to efficiency is a challenge that software engineers in the field have to face. In this…

Software Engineering · Computer Science 2018-02-15 Bernhard Beckert , Britta Nestler , Moritz Kiefer , Michael Selzer , Mattias Ulbrich

Tool use has turned large language models (LLMs) into powerful agents that can perform complex multi-step tasks by dynamically utilising external software components. However, these tools must be implemented in advance by human developers,…

Computation and Language · Computer Science 2025-06-02 Georg Wölflein , Dyke Ferber , Daniel Truhn , Ognjen Arandjelović , Jakob Nikolas Kather

This article discusses the challenges of testing software systems with increasingly integrated AI and LLM functionalities. LLMs are powerful but unreliable, and labeled ground truth for testing rarely scales. Metamorphic Testing solves this…

Software Engineering · Computer Science 2026-03-27 Valerio Terragni