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Large language models (LLMs) solve reasoning problems by first generating a rationale and then answering. We formalize reasoning as a latent variable model and derive a reward-based filtered expectation-maximization (FEM) objective for…

Machine Learning · Computer Science 2026-02-03 Junghyun Lee , Branislav Kveton , Anup Rao , Subhojyoti Mukherjee , Ryan A. Rossi , Sunav Choudhary , Alexa Siu

Mathematical reasoning represents a critical frontier in advancing large language models (LLMs). While step-by-step approaches have emerged as the dominant paradigm for mathematical problem-solving in LLMs, the quality of reasoning steps in…

Computation and Language · Computer Science 2026-02-26 Yuchen Yan , Yongliang Shen , Yang Liu , Jin Jiang , Xin Xu , Mengdi Zhang , Jian Shao , Yueting Zhuang

Generating high-quality code remains a challenge for Large Language Models (LLMs). For the evolution of reasoning models on this task, reward models are a necessary intermediate step. These models judge outcomes or intermediate steps.…

Artificial Intelligence · Computer Science 2025-12-11 Jan Niklas Groeneveld , Xi Qin , Alexander Schaefer , Yaad Oren

Training language models to produce both correct answers and sound reasoning remains an open challenge. Reinforcement learning with verifiable rewards typically optimizes only final outcomes, which can lead to a failure mode where task…

Computation and Language · Computer Science 2026-05-14 Kyuyoung Kim , Kevin Wang , Yunfei Xie , Peiyang Xu , Peiyao Sheng , Chen Wei , Zhangyang Wang , Jinwoo Shin , Pramod Viswanath , Sewoong Oh

Despite the syntactic fluency of Large Language Models (LLMs), ensuring their logical correctness in high-stakes domains remains a fundamental challenge. We present a neurosymbolic framework that combines LLMs with SMT solvers to produce…

Computation and Language · Computer Science 2026-05-05 Vikash Singh , Darion Cassel , Nathaniel Weir , Nick Feng , Sam Bayless

The emergence of LM-based judging reward modeling, represented by generative reward models, has successfully made reinforcement learning from AI feedback (RLAIF) efficient and scalable. To further advance this paradigm, we propose a core…

Computation and Language · Computer Science 2025-11-18 Meiling Ning , Zhongbao Zhang , Junda Ye , Jiabao Guo , Qingyuan Guan

Fine-tuning large language models (LLMs) on reasoning benchmarks via reinforcement learning requires a specific reward function, often binary, for each benchmark. This comes with two potential limitations: the need to design the reward, and…

Computation and Language · Computer Science 2026-02-05 Ariel Kwiatkowski , Natasha Butt , Ismail Labiad , Julia Kempe , Yann Ollivier

Despite significant progress, Vision-Language Models (VLMs) still struggle with complex visual reasoning, where multi-step dependencies cause early errors to cascade through the reasoning chain. Existing post-training paradigms are limited:…

Computer Vision and Pattern Recognition · Computer Science 2025-11-14 Yanbei Jiang , Chao Lei , Yihao Ding , Krista Ehinger , Jey Han Lau

Mathematical reasoning has been challenging for large language models (LLMs), and the introduction of step-by-step Chain-of-Thought (CoT) inference has significantly advanced the mathematical capabilities of LLMs. However, current…

Artificial Intelligence · Computer Science 2025-09-23 Lang Cao , Yingtian Zou , Chao Peng , Renhong Chen , Wu Ning , Yitong Li

The ability of large language models (LLMs) to follow user instructions is central to their reliability, safety, and usefulness. While prior studies assess instruction adherence in the model's main responses, we argue that it is also…

Machine Learning · Computer Science 2025-10-20 Yongchan Kwon , Shang Zhu , Federico Bianchi , Kaitlyn Zhou , James Zou

The Natural Language Inference (NLI) task often requires reasoning over multiple steps to reach the conclusion. While the necessity of generating such intermediate steps (instead of a summary explanation) has gained popular support, it is…

Computation and Language · Computer Science 2022-09-01 Deepanway Ghosal , Somak Aditya , Monojit Choudhury

Recent work has shown that integrating large language models (LLMs) with theorem provers (TPs) in neuro-symbolic pipelines helps with entailment verification and proof-guided refinement of explanations for natural language inference (NLI).…

Computation and Language · Computer Science 2026-01-28 Xin Quan , Marco Valentino , Louise A. Dennis , André Freitas

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

We present a novel framework addressing a critical vulnerability in Large Language Models (LLMs): the prevalence of factual inaccuracies within intermediate reasoning steps despite correct final answers. This phenomenon poses substantial…

Computation and Language · Computer Science 2025-08-05 Rui Jiao , Yue Zhang , Jinku Li

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

Reinforcement Learning (RL) has enabled Large Language Models (LLMs) to achieve remarkable reasoning in domains like mathematics and coding, where verifiable rewards provide clear signals. However, extending this paradigm to financial…

Artificial Intelligence · Computer Science 2026-01-09 Rui Sun , Yifan Sun , Sheng Xu , Li Zhao , Jing Li , Daxin Jiang , Cheng Hua , Zuo Bai

Natural language explanations play a fundamental role in Natural Language Inference (NLI) by revealing how premises logically entail hypotheses. Recent work has shown that the interaction of large language models (LLMs) with theorem provers…

Computation and Language · Computer Science 2025-06-02 Xin Quan , Marco Valentino , Louise A. Dennis , André Freitas

Reinforcement learning has emerged as a powerful paradigm for post-training large language models (LLMs) to improve reasoning. Approaches like Reinforcement Learning from Human Feedback (RLHF) and Reinforcement Learning with Verifiable…

Machine Learning · Computer Science 2025-06-26 Yanzhi Zhang , Zhaoxi Zhang , Haoxiang Guan , Yilin Cheng , Yitong Duan , Chen Wang , Yue Wang , Shuxin Zheng , Jiyan He

Large Language Models (LLMs) often struggle with problems that require multi-step reasoning. For small-scale open-source models, Reinforcement Learning with Verifiable Rewards (RLVR) fails when correct solutions are rarely sampled even…

Computation and Language · Computer Science 2026-03-02 Yihe Deng , I-Hung Hsu , Jun Yan , Zifeng Wang , Rujun Han , Gufeng Zhang , Yanfei Chen , Wei Wang , Tomas Pfister , Chen-Yu Lee

Improving the multi-step reasoning ability of Large Language Models (LLMs) is a critical yet challenging task. The dominant paradigm, outcome-supervised reinforcement learning (RLVR), rewards only correct final answers, often propagating…

Artificial Intelligence · Computer Science 2025-10-14 Beining Wang , Weihang Su , Hongtao Tian , Tao Yang , Yujia Zhou , Ting Yao , Qingyao Ai , Yiqun Liu