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Mathematical reasoning is a hallmark of human intelligence, and whether large language models (LLMs) can meaningfully perform it remains a central question in artificial intelligence and cognitive science. As LLMs are increasingly…

Computation and Language · Computer Science 2026-04-03 Linyang He , Qiyao Yu , Hanze Dong , Baohao Liao , Xinxing Xu , Micah Goldblum , Jiang Bian , Nima Mesgarani

Large language models (LLMs) can generate plausible code but offer limited guarantees of correctness. Formally verifying that implementations satisfy specifications requires constructing machine-checkable proofs, a task that remains beyond…

Software Engineering · Computer Science 2026-03-30 Zenan Li , Ziran Yang , Deyuan He , Haoyu Zhao , Andrew Zhao , Shange Tang , Kaiyu Yang , Aarti Gupta , Zhendong Su , Chi Jin

LLMs have demonstrated strong mathematical reasoning abilities by leveraging reinforcement learning with long chain-of-thought, yet they continue to struggle with theorem proving due to the lack of clear supervision signals when solely…

Formal mathematical reasoning remains a critical challenge for artificial intelligence, hindered by limitations of existing benchmarks in scope and scale. To address this, we present FormalMATH, a large-scale Lean4 benchmark comprising…

In learning-assisted theorem proving, one of the most critical challenges is to generalize to theorems unlike those seen at training time. In this paper, we introduce INT, an INequality Theorem proving benchmark, specifically designed to…

Artificial Intelligence · Computer Science 2021-04-06 Yuhuai Wu , Albert Qiaochu Jiang , Jimmy Ba , Roger Grosse

As the mathematical capabilities of large language models (LLMs) improve, it becomes increasingly important to evaluate their performance on research-level tasks at the frontier of mathematical knowledge. However, existing benchmarks are…

Given the remarkable performance of Large Language Models (LLMs), an important question arises: Can LLMs conduct human-like scientific research and discover new knowledge, and act as an AI scientist? Scientific discovery is an iterative…

Machine Learning · Computer Science 2025-02-24 Tingting Chen , Srinivas Anumasa , Beibei Lin , Vedant Shah , Anirudh Goyal , Dianbo Liu

Large language models (LLMs) have shown remarkable improvements in reasoning and many existing benchmarks have been addressed by models such as o1 and o3 either fully or partially. However, a majority of these benchmarks emphasize deductive…

Machine Learning · Computer Science 2025-05-15 Wenyue Hua , Tyler Wong , Sun Fei , Liangming Pan , Adam Jardine , William Yang Wang

Large language models (LLMs) have achieved strong performance on reasoning benchmarks, yet their ability to solve real-world problems requiring end-to-end workflows remains unclear. Mathematical modeling competitions provide a stringent…

Computation and Language · Computer Science 2026-04-07 Yuhang Liu , Heyan Huang , Yizhe Yang , Hongyan Zhao , Zhizhuo Zeng , Yang Gao

Despite recent advances in AI, the development of systems capable of executing complex, multi-step reasoning tasks involving multiple tools remains a significant challenge. Current benchmarks fall short in capturing the real-world…

Computation and Language · Computer Science 2025-01-03 Vaskar Nath , Pranav Raja , Claire Yoon , Sean Hendryx

Many machine learning algorithms represent input data with vector embeddings or discrete codes. When inputs exhibit compositional structure (e.g. objects built from parts or procedures from subroutines), it is natural to ask whether this…

Machine Learning · Computer Science 2019-04-09 Jacob Andreas

Automated proof generation for formal software verification remains largely unresolved despite advances in large language models (LLMs). While LLMs perform well in NLP, vision, and code generation, formal verification still requires…

Logic in Computer Science · Computer Science 2026-04-10 Youngjoo Ahn , Sangyeop Yeo , Gijung Im , Jongmin Lee , Jinyoung Yeo , Jieung Kim

Inductive program synthesis, or programming by example, requires synthesizing functions from input-output examples that generalize to unseen inputs. While large language model agents have shown promise in programming tasks guided by natural…

Programming Languages · Computer Science 2025-08-11 Anjiang Wei , Tarun Suresh , Jiannan Cao , Naveen Kannan , Yuheng Wu , Kai Yan , Thiago S. F. X. Teixeira , Ke Wang , Alex Aiken

Language interpretation is a compositional process, in which the meaning of more complex linguistic structures is inferred from the meaning of their parts. Large language models possess remarkable language interpretation capabilities and…

Artificial Intelligence · Computer Science 2025-10-31 David Maria Schmidt , Raoul Schubert , Philipp Cimiano

The rapid progress of large language models (LLMs) has seen them excel and frequently surpass human performance on standard benchmarks. This has enabled many downstream applications, such as LLM agents, to rely on their reasoning to address…

Computation and Language · Computer Science 2025-02-17 Harsh Kohli , Sachin Kumar , Huan Sun

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

Large language models (LLMs) have recently shown strong progress on scientific reasoning, yet two major bottlenecks remain. First, explicit retrieval fragments reasoning, imposing a hidden "tool tax" of extra tokens and steps. Second,…

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

Deep-Research agents, which integrate large language models (LLMs) with search tools, have shown success in improving the effectiveness of handling complex queries that require iterative search planning and reasoning over search results.…

To address this gap, our study introduces the concept of causal epistemic consistency, which focuses on the self-consistency of Large Language Models (LLMs) in differentiating intermediates with nuanced differences in causal reasoning. We…

Computation and Language · Computer Science 2024-09-04 Shaobo Cui , Junyou Li , Luca Mouchel , Yiyang Feng , Boi Faltings