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Large Language Models (LLMs) have shown human-like reasoning abilities but still struggle with complex logical problems. This paper introduces a novel framework, Logic-LM, which integrates LLMs with symbolic solvers to improve logical…

Computation and Language · Computer Science 2023-10-20 Liangming Pan , Alon Albalak , Xinyi Wang , William Yang Wang

Large language models (LLM), such as Google's Minerva and OpenAI's GPT families, are becoming increasingly capable of solving mathematical quantitative reasoning problems. However, they still make unjustified logical and computational…

Artificial Intelligence · Computer Science 2024-03-28 Jin Peng Zhou , Charles Staats , Wenda Li , Christian Szegedy , Kilian Q. Weinberger , Yuhuai Wu

Game theory is a powerful framework for reasoning about strategic interactions, with applications in domains ranging from day-to-day life to international politics. However, applying formal reasoning tools in such contexts is challenging,…

Artificial Intelligence · Computer Science 2024-10-15 Agnieszka Mensfelt , Kostas Stathis , Vince Trencsenyi

Recent studies reveal that large language models (LLMs) exhibit limited logical reasoning abilities in mathematical problem-solving, instead often relying on pattern-matching and memorization. We systematically analyze this limitation,…

Computation and Language · Computer Science 2026-04-21 Shaojie Wang , Liang Zhang

Large language models (LLMs) have been shown to be capable of impressive few-shot generalisation to new tasks. However, they still tend to perform poorly on multi-step logical reasoning problems. Here we carry out a comprehensive evaluation…

Artificial Intelligence · Computer Science 2022-05-20 Antonia Creswell , Murray Shanahan , Irina Higgins

Large language models (LLMs) have exhibited impressive reasoning abilities on a wide range of complex tasks. However, enhancing these capabilities through post-training remains resource intensive, particularly in terms of data and…

Artificial Intelligence · Computer Science 2025-08-13 Shuo Cai , Su Lu , Qi Zhou , Kejing Yang , Zhijie Sang , Congkai Xie , Hongxia Yang

Large language models (LLMs) achieve astonishing results on a wide range of tasks. However, their formal reasoning ability still lags behind. A promising approach is Neurosymbolic LLM reasoning. It works by using LLMs as translators from…

Artificial Intelligence · Computer Science 2025-09-05 Alexander Beiser , David Penz , Nysret Musliu

Large Language Models (LLMs) excel at both informal and formal (e.g. Lean 4) mathematical reasoning but still struggle with autoformalisation, the task of transforming informal into formal mathematical statements. Autoformalisation helps…

Computation and Language · Computer Science 2025-10-15 Yupei Li , Philipp Borchert , Gerasimos Lampouras

Despite impressive results on curated benchmarks, the practical impact of large language models (LLMs) on research-level neural theorem proving and proof autoformalization is still limited. We introduce RLMEval, an evaluation suite for…

Computation and Language · Computer Science 2025-10-30 Auguste Poiroux , Antoine Bosselut , Viktor Kunčak

Large language models (LLMs) have recently demonstrated remarkable success in mathematical reasoning. Despite progress in methods like chain-of-thought prompting and self-consistency sampling, these advances often focus on final correctness…

Artificial intelligence systems have achieved remarkable capability in natural language processing, perception and decision-making tasks. However, their behaviour often remains opaque and difficult to verify, limiting their applicability in…

Software Engineering · Computer Science 2026-04-15 Arshad Beg , Diarmuid O'Donoghue , Rosemary Monahan

Mathematical optimization is fundamental to decision-making across diverse domains, from operations research to healthcare. Yet, translating real-world problems into optimization models remains a difficult task, often demanding specialized…

Machine Learning · Computer Science 2025-06-06 Nicolás Astorga , Tennison Liu , Yuanzhang Xiao , Mihaela van der Schaar

We present an innovative multi-stage optimization strategy combining reinforcement learning (RL) and supervised fine-tuning (SFT) to enhance the pedagogical knowledge of large language models (LLMs), as illustrated by EduQwen 32B-RL1,…

Computation and Language · Computer Science 2026-04-09 Navan Preet Singh , Xiaokun Wang , Anurag Garikipati , Madalina Ciobanu , Qingqing Mao , Ritankar Das

Natural language explanations play a fundamental role in Natural Language Inference (NLI) by revealing how premises logically entail hypotheses. Recent work has shown that the interaction of large language models (LLMs) with theorem provers…

Computation and Language · Computer Science 2025-06-02 Xin Quan , Marco Valentino , Louise A. Dennis , André Freitas

Existing informal language-based (e.g., human language) Large Language Models (LLMs) trained with Reinforcement Learning (RL) face a significant challenge: their verification processes, which provide crucial training signals, are neither…

Computation and Language · Computer Science 2025-10-14 Chuanhao Yan , Fengdi Che , Xuhan Huang , Xu Xu , Xin Li , Yizhi Li , Xingwei Qu , Jingzhe Shi , Chenghua Lin , Yaodong Yang , Binhang Yuan , Hang Zhao , Yu Qiao , Bowen Zhou , Jie Fu

Large Language Models (LLMs) have shown impressive progress in mathematical reasoning. While data augmentation is promising to enhance mathematical problem-solving ability, current approaches are predominantly limited to instance-level…

Computation and Language · Computer Science 2025-06-17 Qizhi Pei , Lijun Wu , Zhuoshi Pan , Yu Li , Honglin Lin , Chenlin Ming , Xin Gao , Conghui He , Rui Yan

Large Language Models (LLMs) demonstrate impressive mathematical reasoning abilities, but their solutions frequently contain errors that cannot be automatically checked. Formal theorem proving systems such as Lean 4 offer automated…

Artificial Intelligence · Computer Science 2026-03-18 Sumanth Varambally , Thomas Voice , Yanchao Sun , Zhifeng Chen , Rose Yu , Ke Ye

Modern large language models (LLMs) show promising progress in formalizing informal mathematics into machine-verifiable theorems. However, these methods still face bottlenecks due to the limited quantity and quality of multilingual parallel…

Computation and Language · Computer Science 2025-07-14 Jiyao Zhang , Chengli Zhong , Hui Xu , Qige Li , Yi Zhou

Language models (LMs) are often expected to generate strings in some formal language; for example, structured data, API calls, or code snippets. Although LMs can be tuned to improve their adherence to formal syntax, this does not guarantee…

Computation and Language · Computer Science 2024-08-06 Terry Koo , Frederick Liu , Luheng He

Understanding the contents of multimodal documents is essential to accurately extract relevant evidence and use it for reasoning. Existing document understanding models tend to generate answers with a single word or phrase directly,…

Information Retrieval · Computer Science 2024-08-15 Jinxu Zhang