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While Large Language Models (LLMs) demonstrate impressive performance in mathematics, existing math benchmarks come with significant limitations. Many focus on problems with fixed ground-truth answers, and are often saturated due to problem…

Artificial Intelligence · Computer Science 2025-10-02 Mislav Balunović , Jasper Dekoninck , Nikola Jovanović , Ivo Petrov , Martin Vechev

Prior benchmarks for evaluating the domain-specific knowledge of large language models (LLMs) lack the scalability to handle complex academic tasks. To address this, we introduce \texttt{ScholarBench}, a benchmark centered on deep expert…

Computation and Language · Computer Science 2025-10-17 Dongwon Noh , Donghyeok Koh , Junghun Yuk , Gyuwan Kim , Jaeyong Lee , Kyungtae Lim , Cheoneum Park

Accurate auto-formalization of theorem statements is essential for advancing automated discovery and verification of research-level mathematics, yet remains a major bottleneck for LLMs due to hallucinations, semantic mismatches, and their…

Artificial Intelligence · Computer Science 2025-10-07 Hanyu Wang , Ruohan Xie , Yutong Wang , Guoxiong Gao , Xintao Yu , Bin Dong

New models for natural language understanding have recently made an unparalleled amount of progress, which has led some researchers to suggest that the models induce universal text representations. However, current benchmarks are…

Computation and Language · Computer Science 2022-04-05 Damien Sileo , Tim Van-de-Cruys , Camille Pradel , Philippe Muller

The synergy between deep learning models and traditional automation tools, such as built-in tactics of the proof assistant and off-the-shelf automated theorem provers, plays a crucial role in developing robust and efficient neural theorem…

Machine Learning · Computer Science 2025-06-09 Haoxiong Liu , Jiacheng Sun , Zhenguo Li , Andrew C Yao

We present Ax-Prover, a multi-agent system for automated theorem proving in Lean that can solve problems across diverse scientific domains and operate either autonomously or collaboratively with human experts. To achieve this, Ax-Prover…

Large language models (LLMs) have been used to generate formal proofs of mathematical theorems in proofs assistants such as Lean. However, we often want to optimize a formal proof with respect to various criteria, depending on its…

Artificial Intelligence · Computer Science 2026-05-22 Riyaz Ahuja , Jeremy Avigad , Prasad Tetali , Sean Welleck

Academic peer review remains the cornerstone of scholarly validation, yet the field faces some challenges in data and methods. From the data perspective, existing research is hindered by the scarcity of large-scale, verified benchmarks and…

Information Retrieval · Computer Science 2026-02-10 Yehua Huang , Penglei Sun , Zebin Chen , Zhenheng Tang , Xiaowen Chu

Large language models (LLMs) have become capable mathematical problem-solvers, often producing correct proofs for challenging problems. However, correctness alone is not sufficient: mathematical proofs should also be clear, concise,…

Computation and Language · Computer Science 2026-05-12 Ivo Petrov , Jasper Dekoninck , Dimitar I. Dimitrov , Martin Vechev

As the volume of peer-reviewed research surges, scholars increasingly rely on social platforms for discovery, while authors invest considerable effort in promoting their work to ensure visibility and citations. To streamline this process…

Computation and Language · Computer Science 2025-10-16 Qiguang Chen , Zheng Yan , Mingda Yang , Libo Qin , Yixin Yuan , Hanjing Li , Jinhao Liu , Yiyan Ji , Dengyun Peng , Jiannan Guan , Mengkang Hu , Yantao Du , Wanxiang Che

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

We contribute the largest publicly available dataset of naturally occurring factual claims for the purpose of automatic claim verification. It is collected from 26 fact checking websites in English, paired with textual sources and rich…

Computation and Language · Computer Science 2019-10-22 Isabelle Augenstein , Christina Lioma , Dongsheng Wang , Lucas Chaves Lima , Casper Hansen , Christian Hansen , Jakob Grue Simonsen

Large reasoning models (e.g., R1, o3) have demonstrated remarkable mathematical problem-solving abilities. However, the high reported accuracy of these advanced models on popular datasets, reliance on purely numerical evaluation and…

Artificial Intelligence · Computer Science 2025-12-10 Dadi Guo , Jiayu Liu , Zhiyuan Fan , Zhitao He , Haoran Li , Yuxin Li , Yumeng Wang , Yi R. Fung

This book can be seen either as a text on theorem proving that uses techniques from general algebra, or else as a text on general algebra illustrated and made concrete by practical exercises in theorem proving. The book considers several…

Logic in Computer Science · Computer Science 2021-01-19 Joseph A. Goguen

Interactive proof assistants are computer programs carefully constructed to check a human-designed proof of a mathematical claim with high confidence in the implementation. However, this only validates truth of a formal claim, which may…

Programming Languages · Computer Science 2023-10-09 Colin S. Gordon , Sergey Matskevich

Autoformalization, the process of translating informal statements into formal logic, has gained renewed interest with the emergence of powerful Large Language Models (LLMs). While LLMs show promise in generating structured outputs from…

Computation and Language · Computer Science 2025-11-18 Mihir Gupte , Ramesh S

Understanding learning materials (e.g. test questions) is a crucial issue in online learning systems, which can promote many applications in education domain. Unfortunately, many supervised approaches suffer from the problem of scarce human…

Machine Learning · Computer Science 2019-05-28 Yu Yin , Qi Liu , Zhenya Huang , Enhong Chen , Wei Tong , Shijin Wang , Yu Su

We introduce RelNet: a new model for relational reasoning. RelNet is a memory augmented neural network which models entities as abstract memory slots and is equipped with an additional relational memory which models relations between all…

Computation and Language · Computer Science 2017-11-17 Trapit Bansal , Arvind Neelakantan , Andrew McCallum

Despite rapid progress in claim verification, we lack a systematic understanding of what reasoning these benchmarks actually exercise. We generate structured reasoning traces for 24K claim-verification examples across 9 datasets using…

Computation and Language · Computer Science 2026-04-03 Delip Rao , Chris Callison-Burch