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The challenge of formal proof generation has a rich history, but with modern techniques, we may finally be at the stage of making actual progress in real-life mathematical problems. This paper explores the integration of ChatGPT and basic…

Logic in Computer Science · Computer Science 2025-02-20 Sangjun Han , Taeil Hur , Youngmi Hur , Kathy Sangkyung Lee , Myungyoon Lee , Hyojae Lim

Large language models have emerged abilities including chain-of-thought to answer math word problems step by step. Solving math word problems not only requires abilities to disassemble problems via chain-of-thought but also needs to…

Computation and Language · Computer Science 2023-04-06 Zheng Yuan , Hongyi Yuan , Chuanqi Tan , Wei Wang , Songfang Huang

The progress of Large Language Models (LLMs) like ChatGPT raises the question of how they can be integrated into education. One hope is that they can support mathematics learning, including word-problem solving. Since LLMs can handle…

Computation and Language · Computer Science 2025-08-12 Anselm R. Strohmaier , Wim Van Dooren , Kathrin Seßler , Brian Greer , Lieven Verschaffel

In this paper, we assess the efficacy of ChatGPT (version Feb 2023), a large-scale language model, in solving probability problems typically presented in introductory computer engineering exams. Our study comprised a set of 23 probability…

Recent announcements from frontier AI model labs have highlighted strong results on high-school and undergraduate math competitions. Yet it remains unclear whether large language models can solve new, simple conjectures in more advanced…

Artificial Intelligence · Computer Science 2025-09-24 Moran Feldman , Amin Karbasi

With the release of ChatGPT and other large language models (LLMs) the discussion about the intelligence, possibilities, and risks, of current and future models have seen large attention. This discussion included much debated scenarios…

Artificial Intelligence · Computer Science 2024-07-31 Nils Körber , Silvan Wehrli , Christopher Irrgang

ChatGPT has gained a huge popularity since its introduction. Its positive aspects have been reported through many media platforms, and some analyses even showed that ChatGPT achieved a decent grade in professional exams, adding extra…

Computation and Language · Computer Science 2023-11-15 Myeongjun Erik Jang , Thomas Lukasiewicz

Proof assistants like Lean have revolutionized mathematical proof verification, ensuring high accuracy and reliability. Although large language models (LLMs) show promise in mathematical reasoning, their advancement in formal theorem…

Artificial Intelligence · Computer Science 2024-05-24 Huajian Xin , Daya Guo , Zhihong Shao , Zhizhou Ren , Qihao Zhu , Bo Liu , Chong Ruan , Wenda Li , Xiaodan Liang

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

Neural theorem proving combines large language models (LLMs) with proof assistants such as Lean, where the correctness of formal proofs can be rigorously verified, leaving no room for hallucination. With existing neural theorem provers…

Artificial Intelligence · Computer Science 2025-05-13 Peiyang Song , Kaiyu Yang , Anima Anandkumar

Recently, with the chain of thought (CoT) prompting, large language models (LLMs), e.g., GPT-3, have shown strong reasoning ability in several natural language processing tasks such as arithmetic, commonsense, and logical reasoning.…

Artificial Intelligence · Computer Science 2023-10-20 Yixuan Weng , Minjun Zhu , Fei Xia , Bin Li , Shizhu He , Shengping Liu , Bin Sun , Kang Liu , Jun Zhao

Large Language Models (LLMs) could be a useful tool for lawyers. However, empirical research on their effectiveness in conducting legal tasks is scant. We study securities cases involving cryptocurrencies as one of numerous contexts where…

Artificial Intelligence · Computer Science 2024-02-23 Arianna Trozze , Toby Davies , Bennett Kleinberg

Using AI to write formal proofs for mathematical problems is a challenging task that has seen some advancements in recent years. Automated systems such as Lean can verify the correctness of proofs written in formal language, yet writing the…

Machine Learning · Computer Science 2025-03-04 Roozbeh Yousefzadeh , Xuenan Cao , Azim Ospanov

Large Language Models (LLMs) have demonstrated significant promise in formal theorem proving. In this study, we investigate the ability of LLMs to discover novel theorems and produce verified proofs. We propose a pipeline called…

Machine Learning · Computer Science 2026-05-07 Kazumi Kasaura , Naoto Onda , Yuta Oriike , Masaya Taniguchi , Akiyoshi Sannai , Sho Sonoda

Large language models (LLMs) such as ChatGPT have received immense interest for their general-purpose language understanding and, in particular, their ability to generate high-quality text or computer code. For many professions, LLMs…

Computation and Language · Computer Science 2024-04-03 Simon Frieder , Julius Berner , Philipp Petersen , Thomas Lukasiewicz

Large Language Models (LLMs) have had considerable difficulty when prompted with mathematical questions, especially those within theory of computing (ToC) courses. In this paper, we detail two experiments regarding our own ToC course and…

Computers and Society · Computer Science 2024-07-11 Matei A. Golesteanu , Garrett B. Vowinkel , Ryan E. Dougherty

Scientific workflow systems are increasingly popular for expressing and executing complex data analysis pipelines over large datasets, as they offer reproducibility, dependability, and scalability of analyses by automatic parallelization on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-09 Mario Sänger , Ninon De Mecquenem , Katarzyna Ewa Lewińska , Vasilis Bountris , Fabian Lehmann , Ulf Leser , Thomas Kosch

Large language models, such as the well-known ChatGPT, have brought about an unexpected revolution in the field of artificial intelligence. On the one hand, they have numerous practical applications and enormous potential still to be…

Computation and Language · Computer Science 2025-02-26 Carlos Gómez-Rodríguez

It has been suggested that large language models such as GPT-4 have acquired some form of understanding beyond the correlations among the words in text including some understanding of mathematics as well. Here, we perform a critical inquiry…

Machine Learning · Computer Science 2023-11-15 Roozbeh Yousefzadeh , Xuenan Cao

Large-scale language models (LLMs) have emerged as a groundbreaking innovation in the realm of question-answering and conversational agents. These models, leveraging different deep learning architectures such as Transformers, are trained on…

Software Engineering · Computer Science 2023-07-18 Fardin Ahsan Sakib , Saadat Hasan Khan , A. H. M. Rezaul Karim
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