English
Related papers

Related papers: Beyond Theorem Proving: Formulation, Framework and…

200 papers

The identification and localization of errors is a core task in peer review, yet the exponential growth of scientific output has made it increasingly difficult for human reviewers to reliably detect errors given the limited pool of experts.…

Computation and Language · Computer Science 2025-12-01 Sarina Xi , Vishisht Rao , Justin Payan , Nihar B. Shah

In recent years, Multi-modal Foundation Models (MFMs) and Embodied Artificial Intelligence (EAI) have been advancing side by side at an unprecedented pace. The integration of the two has garnered significant attention from the AI research…

Artificial Intelligence · Computer Science 2024-10-08 Min Zhang , Xian Fu , Jianye Hao , Peilong Han , Hao Zhang , Lei Shi , Hongyao Tang , Yan Zheng

This paper introduces the Fair Fairness Benchmark (\textsf{FFB}), a benchmarking framework for in-processing group fairness methods. Ensuring fairness in machine learning is important for ethical compliance. However, there exist challenges…

Machine Learning · Computer Science 2024-06-12 Xiaotian Han , Jianfeng Chi , Yu Chen , Qifan Wang , Han Zhao , Na Zou , Xia Hu

The method of fundamental solutions (MFS) is a numerical method for solving boundary value problems involving linear partial differential equations. It is well known that it can be very effective assuming regularity of the domain and…

Numerical Analysis · Mathematics 2022-03-23 Pedro R. S. Antunes

We introduce a benchmark framework developed by and for the scientific community to evaluate, monitor and steer large language model development in fundamental physics. Building on philosophical concepts of scientific understanding and…

Data Analysis, Statistics and Probability · Physics 2025-07-30 Kristian G. Barman , Sascha Caron , Faegheh Hasibi , Eugene Shalugin , Yoris Marcet , Johannes Otte , Henk W. de Regt , Merijn Moody

In this paper we investigate to which extent a very simple and natural "reachability as deducibility" approach, originated in the research in formal methods in security, is applicable to the automated verification of large classes of…

Logic in Computer Science · Computer Science 2010-11-30 Alexei Lisitsa

The widespread success of foundation models in natural language processing and computer vision has inspired researchers to extend the concept to scientific machine learning and computational science. However, this position paper argues that…

The application of contemporary artificial intelligence techniques to address geometric problems and automated deductive proof has always been a grand challenge to the interdiscipline field of mathematics and artificial Intelligence. This…

Artificial Intelligence · Computer Science 2024-02-15 Yiming He , Jia Zou , Xiaokai Zhang , Na Zhu , Tuo Leng

Correctly parsing mathematical formulas from PDFs is critical for training large language models and building scientific knowledge bases from academic literature, yet existing benchmarks either exclude formulas entirely or lack…

Computer Vision and Pattern Recognition · Computer Science 2026-05-06 Pius Horn , Janis Keuper

Optimization modeling translates real decision-making problems into mathematical optimization models and solver-executable implementations. Although language models are increasingly used to generate optimization formulations and solver…

Artificial Intelligence · Computer Science 2026-05-13 Zhong Li , Qi Huang , Yuxuan Zhu , Mohammad Mohammadi Amiri , Niki van Stein , Thomas Bäck , Matthijs van Leeuwen , Zaiwen Wen , Lincen Yang

We introduce FinanceReasoning, a novel benchmark designed to evaluate the reasoning capabilities of large reasoning models (LRMs) in financial numerical reasoning problems. Compared to existing benchmarks, our work provides three key…

Computation and Language · Computer Science 2025-08-07 Zichen Tang , Haihong E , Ziyan Ma , Haoyang He , Jiacheng Liu , Zhongjun Yang , Zihua Rong , Rongjin Li , Kun Ji , Qing Huang , Xinyang Hu , Yang Liu , Qianhe Zheng

Autoformalization, the conversion of natural language mathematics into formal languages, offers significant potential for advancing mathematical reasoning. However, existing efforts are limited to formal languages with substantial online…

Recent advances in large language models show strong promise for formal reasoning. However, most LLM-based theorem provers have long been constrained by the need for expert-written formal statements as inputs, limiting their applicability…

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

We introduce CFE-Bench (Classroom Final Exam), a multimodal benchmark for evaluating the reasoning capabilities of large language models across more than 20 STEM domains. CFE-Bench is curated from repeatedly used, authentic university…

Artificial Intelligence · Computer Science 2026-03-04 Chongyang Gao , Diji Yang , Shuyan Zhou , Xichen Yan , Luchuan Song , Shuo Li , Kezhen Chen

Large language models (LLMs) have demonstrated impressive performance on reasoning tasks, including mathematical reasoning. However, the current evaluation mostly focuses on carefully constructed benchmarks and neglects the consideration of…

Artificial Intelligence · Computer Science 2025-09-30 Shi-Yu Tian , Zhi Zhou , Kun-Yang Yu , Ming Yang , Lin-Han Jia , Lan-Zhe Guo , Yu-Feng Li

Many challenging reasoning tasks require not just rapid, intuitive responses, but a more deliberate, multi-step approach. Recent progress in large language models (LLMs) highlights an important shift from the "System 1" way of quick…

Computation and Language · Computer Science 2025-06-03 Guizhen Chen , Weiwen Xu , Hao Zhang , Hou Pong Chan , Chaoqun Liu , Lidong Bing , Deli Zhao , Anh Tuan Luu , Yu Rong

Auto-formalization (AF) translates natural-language reasoning problems into solver-executable programs, enabling symbolic solvers to perform sound logical deduction. In practice, however, AF pipelines are currently brittle: programs may…

Artificial Intelligence · Computer Science 2026-03-30 Zhiyu Ni , Zheng Liang , Liangcheng Song , Chenrui Cao , Xian Zhang , Alberto Sangiovanni-Vincentelli , Pierluigi Nuzzo

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

Interactive theorem provers (ITPs) are powerful tools for the formal verification of mathematical proofs down to the axiom level. However, their lack of a natural language interface remains a significant limitation. Recent advancements in…

Logic in Computer Science · Computer Science 2025-07-01 Xiaolin Hu , Qinghua Zhou , Bogdan Grechuk , Ivan Y. Tyukin