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Recent math benchmarks for large language models (LLMs) such as MathArena indicate that state-of-the-art reasoning models achieve impressive performance on mathematical competitions like AIME, with the leading model, Gemini-2.5-Pro,…

Large Language Models (LLMs) have demonstrated impressive capabilities in structured reasoning and symbolic tasks, with coding emerging as a particularly successful application. This progress has naturally motivated efforts to extend these…

Artificial Intelligence · Computer Science 2026-02-02 Andrea Asperti , Alberto Naibo , Claudio Sacerdoti Coen

Formal methods (FM) are reliable but costly to apply, often requiring years of expert effort in industrial-scale projects such as seL4, especially for theorem proving. Recent advances in large language models (LLMs) have made automated…

Cryptography and Security · Computer Science 2026-02-10 Jianyu Zhang , Fuyuan Zhang , Jiayi Lu , Jilin Hu , Xiaoyi Yin , Long Zhang , Feng Yang , Yongwang Zhao

Guaranteeing the correctness and factuality of language model (LM) outputs is a major open problem. In this work, we propose conformal factuality, a framework that can ensure high probability correctness guarantees for LMs by connecting…

Machine Learning · Computer Science 2024-02-20 Christopher Mohri , Tatsunori Hashimoto

Table-to-text systems generate natural language statements from structured data like tables. While end-to-end techniques suffer from low factual correctness (fidelity), a previous study reported gains when using manual logical forms (LF)…

Computation and Language · Computer Science 2025-01-07 Iñigo Alonso , Eneko Agirre

Causality is vital for understanding true cause-and-effect relationships between variables within predictive models, rather than relying on mere correlations, making it highly relevant in the field of Explainable AI. In an automated…

Machine Learning · Computer Science 2024-08-28 Arturo Fredes , Jordi Vitria

Contemporary approaches to assisted scientific discovery use language models to automatically generate large numbers of potential hypothesis to test, while also automatically generating code-based experiments to test those hypotheses. While…

Artificial Intelligence · Computer Science 2025-09-23 Peter Jansen , Samiah Hassan , Ruoyao Wang

Large Language Models (LLMs) hold the potential to revolutionize autoformalization. The introduction of Lean4, a mathematical programming language, presents an unprecedented opportunity to rigorously assess the autoformalization…

Machine Learning · Computer Science 2024-06-12 Aryan Gulati , Devanshu Ladsaria , Shubhra Mishra , Jasdeep Sidhu , Brando Miranda

Autoformalization serves a crucial role in connecting natural language and formal reasoning. This paper presents MASA, a novel framework for building multi-agent systems for autoformalization driven by Large Language Models (LLMs). MASA…

Computation and Language · Computer Science 2025-10-13 Lan Zhang , Marco Valentino , André Freitas

Verifiable formal languages like Lean have profoundly impacted mathematical reasoning, particularly through the use of large language models (LLMs) for automated reasoning. A significant challenge in training LLMs for these formal languages…

Computation and Language · Computer Science 2025-02-28 Guoxiong Gao , Yutong Wang , Jiedong Jiang , Qi Gao , Zihan Qin , Tianyi Xu , Bin Dong

Large Language Models (LLMs) have demonstrated significant potential in generating mathematical proofs. However, a persistent challenge is that LLMs occasionally make mistakes, while even a minor mistake can invalidate an entire proof.…

Logic in Computer Science · Computer Science 2025-03-10 David Yin , Jing Gao

We introduce DeepSeek-Prover-V2, an open-source large language model designed for formal theorem proving in Lean 4, with initialization data collected through a recursive theorem proving pipeline powered by DeepSeek-V3. The cold-start…

This paper investigates the logical reasoning capabilities of large language models (LLMs). For a precisely defined yet tractable formulation, we choose the conceptually simple but technically complex task of constructing proofs in Boolean…

Machine Learning · Computer Science 2025-04-30 Yuan Xia , Akanksha Atrey , Fadoua Khmaissia , Kedar S. Namjoshi

We study whether Large Language Models (LLMs) can perform feature model analysis operations (AOs) directly on semi-formal textual blueprints, i.e., concise constrained-language descriptions of feature hierarchies and constraints, enabling…

Software Engineering · Computer Science 2026-04-23 Viet-Man Le , Thi Ngoc Trang Tran , Sebastian Lubos , Alexander Felfernig , Damian Garber

Recently, Large Language Models (LLMs) have drawn significant attention due to their outstanding reasoning capabilities and extensive knowledge repository, positioning them as superior in handling various natural language processing tasks…

Computation and Language · Computer Science 2023-11-30 Han Cao , Lingwei Wei , Mengyang Chen , Wei Zhou , Songlin Hu

Recent advances in large language models (LLMs) have shown promise in formal theorem proving, yet evaluating semantic correctness remains challenging. Existing evaluations rely on indirect proxies such as lexical overlap with…

Computation and Language · Computer Science 2026-04-29 Jongyoon Kim , Hojae Han , Seung-won Hwang

Researchers have made notable progress in applying Large Language Models (LLMs) to solve math problems, as demonstrated through efforts like GSM8k, ProofNet, AlphaGeometry, and MathOdyssey. This progress has sparked interest in their…

Human-Computer Interaction · Computer Science 2025-03-24 Adit Gupta , Jennifer Reddig , Tommaso Calo , Daniel Weitekamp , Christopher J. MacLellan

Existing benchmarks for evaluating mathematical reasoning in large language models (LLMs) rely primarily on competition problems, formal proofs, or artificially challenging questions -- failing to capture the nature of mathematics…

Artificial Intelligence · Computer Science 2025-10-21 Jie Zhang , Cezara Petrui , Kristina Nikolić , Florian Tramèr

Recent advances in large language models (LLMs) and LLM-based agents have substantially improved the capabilities of automated theorem proving. However, for problems requiring complex mathematical reasoning, current systems rarely succeed…

Computation and Language · Computer Science 2026-03-26 Ruichen Qiu , Yichuan Cao , Junqi Liu , Dakai Guo , Xiao-Shan Gao , Lihong Zhi , Ruyong Feng

Can large language models be used to complete mathematical tasks that are traditionally performed either manually or with the aid of theorem provers? To answer this question, a state-of-the-art system, GPT-4, was provided with a concise…

Computation and Language · Computer Science 2023-05-23 Gregor vom Scheidt