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Large Language Models (LLMs) excel at various tasks, including problem-solving and question-answering. However, LLMs often find Math Word Problems (MWPs) challenging because solving them requires a range of reasoning and mathematical…

Artificial Intelligence · Computer Science 2025-09-24 Mitchell Piehl , Dillon Wilson , Ananya Kalita , Jugal Kalita

Large Language Models (LLMs) have shown human-like reasoning abilities but still struggle with complex logical problems. This paper introduces a novel framework, Logic-LM, which integrates LLMs with symbolic solvers to improve logical…

Computation and Language · Computer Science 2023-10-20 Liangming Pan , Alon Albalak , Xinyi Wang , William Yang Wang

Solving constraints involving inductive (aka recursive) definitions is challenging. State-of-the-art SMT/CHC solvers and first-order logic provers provide only limited support for solving such constraints, especially when they involve,…

Logic in Computer Science · Computer Science 2026-03-13 Weizhi Feng , Shidong Shen , Jiaxiang Liu , Taolue Chen , Fu Song , Zhilin Wu

Existing math datasets evaluate the reasoning abilities of large language models (LLMs) by either using the final answer or the intermediate reasoning steps derived from static examples. However, the former approach fails to surface model's…

Artificial Intelligence · Computer Science 2024-10-28 Xiaodong Yu , Ben Zhou , Hao Cheng , Dan Roth

The progress of Large Language Models (LLMs) like ChatGPT raises the question of how they can be integrated into education. One hope is that they can support mathematics learning, including word-problem solving. Since LLMs can handle…

Computation and Language · Computer Science 2025-08-12 Anselm R. Strohmaier , Wim Van Dooren , Kathrin Seßler , Brian Greer , Lieven Verschaffel

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 used in math education not only as problem solvers but also as assessors of learners' reasoning. However, it remains unclear whether stronger math problem-solving ability is associated with…

Artificial Intelligence · Computer Science 2026-03-27 Liang Zhang , Yu Fu , Xinyi Jin

Large language models (LLMs) have recently demonstrated an impressive ability to perform arithmetic and symbolic reasoning tasks, when provided with a few examples at test time ("few-shot prompting"). Much of this success can be attributed…

Computation and Language · Computer Science 2023-01-30 Luyu Gao , Aman Madaan , Shuyan Zhou , Uri Alon , Pengfei Liu , Yiming Yang , Jamie Callan , Graham Neubig

Large language models (LLMs) are known to struggle with complicated reasoning tasks such as math word problems (MWPs). In this paper, we present how analogy from similarly structured questions can improve LLMs' problem-solving capabilities…

Computation and Language · Computer Science 2024-11-26 Xiaocong Yang , Jiacheng Lin , Ziqi Wang , Chengxiang Zhai

Large language models (LLMs) have significantly transformed the educational landscape. As current plagiarism detection tools struggle to keep pace with LLMs' rapid advancements, the educational community faces the challenge of assessing…

Computation and Language · Computer Science 2024-06-18 Roy Xie , Chengxuan Huang , Junlin Wang , Bhuwan Dhingra

We present a novel approach to formalise and solve search-based problems using large language models, which significantly improves upon previous state-of-the-art results. We demonstrate the efficacy of this approach on the logic puzzles…

Artificial Intelligence · Computer Science 2025-02-25 Pascal Kesseli , Peter O'Hearn , Ricardo Silveira Cabral

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

Recent work shows superior performance when using large language models (LLMs) as formalizers instead of as end-to-end solvers for symbolic reasoning problems. Given the problem description, the LLM generates a formal program that derives a…

Computation and Language · Computer Science 2026-04-01 Rikhil Amonkar , Ceyhun Efe Kayan , Qimei Lai , Ronan Le Bras , Li Zhang

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

Large Language Models (LLM) exhibit zero-shot mathematical reasoning capacity as a behavior emergent with scale, commonly manifesting as chain-of-thoughts (CoT) reasoning. However, multiple empirical findings suggest that this prowess is…

Artificial Intelligence · Computer Science 2023-12-20 Subhabrata Dutta , Joykirat Singh , Ishan Pandey , Sunny Manchanda , Soumen Chakrabarti , Tanmoy Chakraborty

Although Large Language Models (LLMs) have demonstrated impressive formal reasoning abilities, they often break down when problems require complex proof planning. One promising approach for improving LLM reasoning abilities involves…

Artificial Intelligence · Computer Science 2026-01-27 Joseph Cotnareanu , Didier Chetelat , Yingxue Zhang , Mark Coates

This study focuses on improving the performance of lightweight Large Language Models (LLMs) in mathematical reasoning tasks. We introduce a novel method for measuring mathematical logic similarity and design an automatic screening mechanism…

Computation and Language · Computer Science 2024-09-04 Ding Kai , Ma Zhenguo , Yan Xiaoran

Tool-augmented Large Language Models (TALMs) are known to enhance the skillset of large language models (LLMs), thereby, leading to their improved reasoning abilities across many tasks. While, TALMs have been successfully employed in…

Computation and Language · Computer Science 2024-04-04 Debrup Das , Debopriyo Banerjee , Somak Aditya , Ashish Kulkarni

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

In this paper, we present a novel approach for distilling math word problem solving capabilities from large language models (LLMs) into smaller, more efficient student models. Our approach is designed to consider the student model's…

Machine Learning · Computer Science 2023-05-25 Zhenwen Liang , Wenhao Yu , Tanmay Rajpurohit , Peter Clark , Xiangliang Zhang , Ashwin Kaylan
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