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Given that rich information is hidden behind ubiquitous numbers in text, numerical reasoning over text should be an essential skill of AI systems. To derive precise equations to solve numerical reasoning problems, previous work focused on…

Computation and Language · Computer Science 2022-11-30 Zhihong Shao , Fei Huang , Minlie Huang

Large language models (LLMs) have recently attracted considerable interest for their ability to perform complex reasoning tasks, such as chain-of-thought (CoT) reasoning. However, most of the existing approaches to enhance this ability rely…

Computation and Language · Computer Science 2024-08-08 Xinyi Wang , Lucas Caccia , Oleksiy Ostapenko , Xingdi Yuan , William Yang Wang , Alessandro Sordoni

In large language models (LLMs), code and reasoning reinforce each other: code offers an abstract, modular, and logic-driven structure that supports reasoning, while reasoning translates high-level goals into smaller, executable steps that…

Computation and Language · Computer Science 2025-02-27 Dayu Yang , Tianyang Liu , Daoan Zhang , Antoine Simoulin , Xiaoyi Liu , Yuwei Cao , Zhaopu Teng , Xin Qian , Grey Yang , Jiebo Luo , Julian McAuley

Complex numerical time series analysis often demands multi-step reasoning capabilities beyond current models' reach. Tasks like medical diagnosis and weather forecasting require sequential reasoning processes - including counterfactual…

Machine Learning · Computer Science 2026-03-17 Felix Parker , Nimeesha Chan , Chi Zhang , Kimia Ghobadi

Large language models (LLMs) continue to face challenges in reliably solving reasoning tasks, particularly those that require precise rule following, as often found in mathematical reasoning. This paper introduces a novel neurosymbolic…

Machine Learning · Computer Science 2025-11-19 Varun Dhanraj , Chris Eliasmith

We present the surprising finding that a language model's reasoning capabilities can be improved by training on synthetic datasets of chain-of-thought (CoT) traces from more capable models, even when all of those traces lead to an incorrect…

Artificial Intelligence · Computer Science 2026-01-26 Abhranil Chandra , Ayush Agrawal , Arian Hosseini , Sebastian Fischmeister , Rishabh Agarwal , Navin Goyal , Aaron Courville

Generating and voting multiple answers is an effective method to mitigate reasoning inconsistencies of large language models (LLMs). Prior works have shown that multiple reasoning formats outperform a single format when generating multiple…

Computation and Language · Computer Science 2025-07-01 Dingzirui Wang , Xuanliang Zhang , Rongyu Cao , Longxu Dou , Xianzhen Luo , Yingwei Ma , Qingfu Zhu , Wanxiang Che , Binhua Li , Fei Huang , Yongbin Li

Neural networks can learn to represent and manipulate numerical information, but they seldom generalize well outside of the range of numerical values encountered during training. To encourage more systematic numerical extrapolation, we…

Neural and Evolutionary Computing · Computer Science 2018-08-03 Andrew Trask , Felix Hill , Scott Reed , Jack Rae , Chris Dyer , Phil Blunsom

Mathematical reasoning is an increasingly important indicator of large language model (LLM) capabilities, yet we lack understanding of how LLMs process even simple mathematical tasks. To address this, we reverse engineer how three mid-sized…

Artificial Intelligence · Computer Science 2025-02-04 Subhash Kantamneni , Max Tegmark

Language serves as a vehicle for conveying thought, enabling communication among individuals. The ability to distinguish between diverse concepts, identify fairness and injustice, and comprehend a range of legal notions fundamentally relies…

Computation and Language · Computer Science 2023-11-23 Ha-Thanh Nguyen , Wachara Fungwacharakorn , Ken Satoh

Large language models (LLMs) often benefit from intermediate steps of reasoning to generate answers to complex problems. When these intermediate steps of reasoning are used to monitor the activity of the model, it is essential that this…

Machine Learning · Computer Science 2023-11-02 Fabien Roger , Ryan Greenblatt

This paper investigates the capabilities of large language models (LLMs) in formulating and solving decision-making problems using mathematical programming. We first conduct a systematic review and meta-analysis of recent literature to…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed

We propose cognitive prompting as a novel approach to guide problem-solving in large language models (LLMs) through structured, human-like cognitive operations, such as goal clarification, decomposition, filtering, abstraction, and pattern…

Computation and Language · Computer Science 2024-12-03 Oliver Kramer , Jill Baumann

Natural generation allows Large Language Models (LLMs) to produce free-form responses with rich reasoning, yet the lack of structure makes outputs difficult to verify. Conversely, constrained decoding ensures standardized formats but can…

Computation and Language · Computer Science 2026-05-29 Ngoc Trinh Hung Nguyen , Alonso Silva , Laith Zumot , Liubov Tupikina , Armen Aghasaryan , Mehwish Alam

System 2 reasoning is one of the defining characteristics of intelligence, which requires slow and logical thinking. Human conducts System 2 reasoning via the language of thoughts that organizes the reasoning process as a causal sequence of…

Computation and Language · Computer Science 2025-05-20 Chenxi Liu , Yongqiang Chen , Tongliang Liu , James Cheng , Bo Han , Kun Zhang

Recent work has shown that large pretrained Language Models (LMs) can not only perform remarkably well on a range of Natural Language Processing (NLP) tasks but also start improving on reasoning tasks such as arithmetic induction, symbolic…

Computation and Language · Computer Science 2022-08-11 Jing Qian , Hong Wang , Zekun Li , Shiyang Li , Xifeng Yan

Large language models (LLMs) are increasingly evaluated on reasoning tasks, yet their logical abilities remain contested. To address this, we study LLMs' reasoning in a well-defined fragment of logic: syllogistic reasoning. We cast the…

Computation and Language · Computer Science 2026-01-27 Leonardo Bertolazzi , Manuel Vargas Guzmán , Raffaella Bernardi , Maciej Malicki , Jakub Szymanik

Large language models (LLMs) have recently demonstrated impressive multimodal reasoning capabilities, yet their understanding of purely numerical time-series signals remains limited. Existing approaches mainly focus on forecasting or trend…

Machine Learning · Computer Science 2025-10-29 Ninghui Feng , Yiyan Qi

The capabilities of large language models (LLMs) have been enhanced by training on data that reflects human thought processes, such as the Chain-of-Thought format. However, evidence suggests that the conventional scheme of next-word…

Computation and Language · Computer Science 2025-06-05 Quang Hieu Pham , Thuy Duong Nguyen , Tung Pham , Anh Tuan Luu , Dat Quoc Nguyen

Natural language numbers are an example of compositional structures, where larger numbers are composed of operations on smaller numbers. Given that compositional reasoning is a key to natural language understanding, we propose novel…

Computation and Language · Computer Science 2020-10-15 Devin Johnson , Denise Mak , Drew Barker , Lexi Loessberg-Zahl