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Language models have become increasingly powerful tools for formal mathematical reasoning. However, most existing approaches rely exclusively on either large general-purpose models or smaller specialized models, each with distinct…

Artificial Intelligence · Computer Science 2025-07-22 Nicolas Wischermann , Claudio Mayrink Verdun , Gabriel Poesia , Francesco Noseda

We introduce MathConstraint, a hard, adaptive benchmark for evaluating the combinatorial reasoning capabilities of LLMs. We combine constraint satisfaction problems with rigorous solver-based verification and design an adaptive generator to…

Machine Learning · Computer Science 2026-05-12 Viresh Pati , Zhengyu Li , Piyush Jha , Rahul Garg , Yatharth Sejpal , Vijay Ganesh

As multi-modal large language models (MLLMs) frequently exhibit errors when solving scientific problems, evaluating the validity of their reasoning processes is critical for ensuring reliability and uncovering fine-grained model weaknesses.…

Artificial Intelligence · Computer Science 2025-03-11 Jiaxin Ai , Pengfei Zhou , Zhaopan Xu , Ming Li , Fanrui Zhang , Zizhen Li , Jianwen Sun , Yukang Feng , Baojin Huang , Zhongyuan Wang , Kaipeng Zhang

While Large Language Models (LLMs) have demonstrated significant advancements in reasoning and agent-based problem-solving, current evaluation methodologies fail to adequately assess their capabilities: existing benchmarks either rely on…

Formal methods is pivotal for verifying the reliability of critical systems through rigorous mathematical proofs. However, its adoption is hindered by labor-intensive manual proofs and the expertise required to use theorem provers. Recent…

Formal Languages and Automata Theory · Computer Science 2025-05-22 Jilin Hu , Jianyu Zhang , Yongwang Zhao , Talia Ringer

Developing the logic necessary to solve mathematical problems or write mathematical proofs is one of the more difficult objectives for large language models (LLMS). Currently, the most popular methods in literature consists of fine-tuning…

Machine Learning · Computer Science 2025-02-11 Tianbo Yang , Mingqi Yan , Hongyi Zhao , Tianshuo Yang

Enhancing the mathematical reasoning of large language models (LLMs) demands high-quality training data, yet conventional methods face critical challenges in scalability, cost, and data reliability. To address these limitations, we propose…

Computation and Language · Computer Science 2025-08-27 Sirui Chen , Changxin Tian , Binbin Hu , Kunlong Chen , Ziqi Liu , Zhiqiang Zhang , Jun Zhou

Large Language Models (LLMs) have made significant strides in mathematical reasoning, underscoring the need for a comprehensive and fair evaluation of their capabilities. However, existing benchmarks often fall short, either lacking…

Computation and Language · Computer Science 2025-02-26 Xin Xu , Jiaxin Zhang , Tianhao Chen , Zitong Chao , Jishan Hu , Can Yang

Advanced Large Multimodal Models (LMMs) have demonstrated impressive performance in K-12 reasoning tasks, exhibiting great promise as intelligent tutors. Realizing this potential requires models to navigate real-world examinations…

Artificial Intelligence · Computer Science 2026-05-27 Xiaohan Wang , Mingze Yin , Yilin Zhao , Gang Liu , Dian Li

The use of Large Language Models (LLMs) in mathematical reasoning has become a cornerstone of related research, demonstrating the intelligence of these models and enabling potential practical applications through their advanced performance,…

Computation and Language · Computer Science 2024-12-20 Kathrin Seßler , Yao Rong , Emek Gözlüklü , Enkelejda Kasneci

There is growing interest in hypothesis generation with large language models (LLMs). However, fundamental questions remain: what makes a good hypothesis, and how can we systematically evaluate methods for hypothesis generation? To address…

Artificial Intelligence · Computer Science 2026-02-12 Haokun Liu , Sicong Huang , Jingyu Hu , Yangqiaoyu Zhou , Chenhao Tan

We present MaterialFigBench, a benchmark dataset designed to evaluate the ability of multimodal large language models (LLMs) to solve university-level materials science problems that require accurate interpretation of figures. Unlike…

Computation and Language · Computer Science 2026-03-13 Michiko Yoshitake , Yuta Suzuki , Ryo Igarashi , Yoshitaka Ushiku , Keisuke Nagato

Assessing the capabilities of large multimodal models (LMMs) often requires the creation of ad-hoc evaluations. Currently, building new benchmarks requires tremendous amounts of manual work for each specific analysis. This makes the…

Artificial Intelligence · Computer Science 2024-06-19 Alessandro Conti , Enrico Fini , Paolo Rota , Yiming Wang , Massimiliano Mancini , Elisa Ricci

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

Large Language Models (LLMs) have demonstrated impressive capabilities in natural language processing tasks, such as text generation and semantic understanding. However, their performance on numerical reasoning tasks, such as basic…

Computation and Language · Computer Science 2025-06-04 Haoyang Li , Xuejia Chen , Zhanchao XU , Darian Li , Nicole Hu , Fei Teng , Yiming Li , Luyu Qiu , Chen Jason Zhang , Qing Li , Lei Chen

Large Language Models (LLMs) have recently achieved remarkable progress in mathematical reasoning. To enable such capabilities, many existing works distill strong reasoning models into long chains of thought or design algorithms to…

Computation and Language · Computer Science 2026-03-13 Chengyu Shen , Zhen Hao Wong , Runming He , Hao Liang , Meiyi Qiang , Zimo Meng , Zhengyang Zhao , Bohan Zeng , Zhengzhou Zhu , Bin Cui , Wentao Zhang

A key frontier for Multimodal Large Language Models (MLLMs) is the ability to perform deep mathematical and spatial reasoning directly from images, moving beyond their established success in semantic description. Mathematical surface plots…

Artificial Intelligence · Computer Science 2025-09-10 Nilay Pande , Sahiti Yerramilli , Jayant Sravan Tamarapalli , Rynaa Grover

Automated Theorem Proving (ATP) represents a core research direction in artificial intelligence for achieving formal reasoning and verification, playing a significant role in advancing machine intelligence. However, current large language…

Artificial Intelligence · Computer Science 2025-12-23 Sirui Li , Wangyue Lu , Xiaorui Shi , Ke Weng , Haozhe Sun , Minghe Yu , Tiancheng Zhang , Ge Yu , Hengyu Liu , Lun Du

Benchmarks are critical for measuring Large Language Model (LLM) reasoning capabilities. Some benchmarks have even become the de facto indicator of such capabilities. However, as LLM reasoning capabilities improve, existing widely-used…

Computation and Language · Computer Science 2025-02-26 Stephen Miner , Yoshiki Takashima , Simeng Han , Sam Kouteili , Ferhat Erata , Ruzica Piskac , Scott J Shapiro

LLMs can be used in a variety of code related tasks such as translating from one programming language to another, implementing natural language requirements and code summarization. Artifacts generated by state of the art LLM technology are…

Software Engineering · Computer Science 2024-10-29 Eitan Farchi , Shmulik Froimovich , Rami Katan , Orna Raz
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