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Recent advances in large language models (LLMs) for mathematical reasoning have largely focused on tasks with easily verifiable final answers while generating and verifying natural language math proofs remains an open challenge. We identify…

Computation and Language · Computer Science 2026-03-03 Wenjie Ma , Andrei Cojocaru , Neel Kolhe , Bradley Louie , Robin Said Sharif , Haihan Zhang , Vincent Zhuang , Matei Zaharia , Sewon Min

Large language models (LLMs) employ safety mechanisms to prevent harmful outputs, yet these defenses primarily rely on semantic pattern matching. We show that encoding harmful prompts as coherent mathematical problems -- using formalisms…

Cryptography and Security · Computer Science 2026-05-06 Haoyu Zhang , Mohammad Zandsalimy , Shanu Sushmita

The rapid advancement of large language models has opened new avenues for automating complex problem-solving tasks such as algorithmic coding and competitive programming. This paper introduces a novel evaluation technique, LLM-ProS, to…

Computation and Language · Computer Science 2026-03-03 Md Sifat Hossain , Anika Tabassum , Md. Fahim Arefin , Tarannum Shaila Zaman

Enhancing the complex reasoning capabilities of Large Language Models (LLMs) attracts widespread attention. While reinforcement learning (RL) has shown superior performance for improving complex reasoning, its impact on cross-lingual…

Computation and Language · Computer Science 2025-09-30 Shulin Huang , Yiran Ding , Junshu Pan , Yue Zhang

Large language models (LLMs) like GPT-4, DeepSeek-R1, and ReasonFlux have shown significant improvements in various reasoning tasks. However, smaller LLMs still struggle with complex mathematical reasoning because they fail to effectively…

Computation and Language · Computer Science 2025-02-27 Ling Yang , Zhaochen Yu , Tianjun Zhang , Minkai Xu , Joseph E. Gonzalez , Bin Cui , Shuicheng Yan

The math abilities of large language models can represent their abstract reasoning ability. In this paper, we introduce and open-source our math reasoning LLMs InternLM-Math which is continue pre-trained from InternLM2. We unify…

Mathematical reasoning and optimization are fundamental to artificial intelligence and computational problem-solving. Recent advancements in Large Language Models (LLMs) have significantly improved AI-driven mathematical reasoning, theorem…

Artificial Intelligence · Computer Science 2025-03-25 Ali Forootani

Mathematical reasoning is an important capability of large language models~(LLMs) for real-world applications. To enhance this capability, existing work either collects large-scale math-related texts for pre-training, or relies on stronger…

Computation and Language · Computer Science 2024-05-24 Kun Zhou , Beichen Zhang , Jiapeng Wang , Zhipeng Chen , Wayne Xin Zhao , Jing Sha , Zhichao Sheng , Shijin Wang , Ji-Rong Wen

In this paper, we explore how to leverage large language models (LLMs) to solve mathematical problems efficiently and accurately. Specifically, we demonstrate the effectiveness of classifying problems into distinct categories and employing…

Computation and Language · Computer Science 2024-12-24 Amogh Akella

Prior work has combined chain-of-thought prompting in large language models (LLMs) with programmatic representations to perform effective and transparent reasoning. While such an approach works well for tasks that only require forward…

Computation and Language · Computer Science 2023-10-13 Xi Ye , Qiaochu Chen , Isil Dillig , Greg Durrett

Large Language Models (LLMs) are increasingly utilized in AI-driven educational instruction and assessment, particularly within mathematics education. The capability of LLMs to generate accurate answers and detailed solutions for math…

Artificial Intelligence · Computer Science 2025-08-15 Liang Zhang , Edith Aurora Graf

Large language models (LLMs) have been shown to be capable of impressive few-shot generalisation to new tasks. However, they still tend to perform poorly on multi-step logical reasoning problems. Here we carry out a comprehensive evaluation…

Artificial Intelligence · Computer Science 2022-05-20 Antonia Creswell , Murray Shanahan , Irina Higgins

Running LLMs with extended reasoning on every problem is expensive, but determining which inputs actually require additional compute remains challenging. We investigate whether their own likelihood of success is recoverable from their…

Computation and Language · Computer Science 2026-04-07 William Lugoloobi , Thomas Foster , William Bankes , Chris Russell

There is a substantial body of literature examining the mathematical reasoning capabilities of large language models (LLMs), particularly their performance on precise arithmetic operations in autoregressive architectures. However, their…

Computation and Language · Computer Science 2025-10-31 Chiung-Yi Tseng , Somshubhra Roy , Maisha Thasin , Danyang Zhang , Blessing Effiong

Mathematical theorem proving is an important testbed for large language models' deep and abstract reasoning capability. This paper focuses on improving LLMs' ability to write proofs in formal languages that permit automated proof…

Machine Learning · Computer Science 2024-11-05 Kefan Dong , Arvind Mahankali , Tengyu Ma

Large language models excel at short-horizon reasoning tasks, but performance drops as reasoning horizon lengths increase. Existing approaches to combat this rely on inference-time scaffolding or costly step-level supervision, neither of…

Reinforcement learning (RL) has emerged as a promising approach to improve large language model (LLM) reasoning, yet most open efforts focus narrowly on math and code, limiting our understanding of its broader applicability to general…

Large language models (LLMs), such as GPT-3 and GPT-4, have demonstrated exceptional performance in various natural language processing tasks and have shown the ability to solve certain reasoning problems. However, their reasoning…

Artificial Intelligence · Computer Science 2023-07-18 Adam Ishay , Zhun Yang , Joohyung Lee

Process Reward Models (PRMs) play a central role in evaluating and guiding multi-step reasoning in large language models (LLMs), especially for mathematical problem solving. However, we identify a pervasive length bias in existing PRMs:…

Computation and Language · Computer Science 2026-05-20 Congmin Zheng , Jiachen Zhu , Jianghao Lin , Xinyi Dai , Weiwen Liu , Haoxuan Li , Yong Yu , Weinan Zhang , Mengyue Yang

Reranking is fundamental to information retrieval and retrieval-augmented generation, with recent Large Language Models (LLMs) significantly advancing reranking quality. Most current works rely on large-scale LLMs (>7B parameters),…

Information Retrieval · Computer Science 2026-04-17 Xianming Li , Aamir Shakir , Rui Huang , Tsz-fung Andrew Lee , Julius Lipp , Benjamin Clavié , Jing Li
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