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Structured, procedural reasoning is essential for Large Language Models (LLMs), especially in mathematics. While post-training methods have improved LLM performance, they still fall short in capturing deep procedural logic on complex tasks.…

Artificial Intelligence · Computer Science 2025-08-27 Zhichao Yang , Zhaoxin Fan , Gen Li , Yuanze Hu , Xinyu Wang , Ye Qiu , Xin Wang , Yifan Sun , Wenjun Wu

Large Reasoning Models (LRMs) have demonstrated remarkable problem-solving abilities in mathematics, as evaluated by existing benchmarks exclusively on well-defined problems. However, such evaluation setup constitutes a critical gap, since…

Artificial Intelligence · Computer Science 2025-08-18 Youcheng Huang , Bowen Qin , Chen Huang , Duanyu Feng , Xi Yang , Wenqiang Lei

This study introduces a hypothesis-testing framework to assess whether large language models (LLMs) possess genuine reasoning abilities or primarily depend on token bias. We go beyond evaluating LLMs on accuracy; rather, we aim to…

Computation and Language · Computer Science 2024-10-07 Bowen Jiang , Yangxinyu Xie , Zhuoqun Hao , Xiaomeng Wang , Tanwi Mallick , Weijie J. Su , Camillo J. Taylor , Dan Roth

Algorithmic reasoning refers to the ability to understand the complex patterns behind the problem and decompose them into a sequence of reasoning steps towards the solution. Such nature of algorithmic reasoning makes it a challenge for…

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

Some aspects of programming education are examined in this work. It is emphasised, based on the entertainment value, the most appropriate examples are chosen to demonstrate the different language constructions and data structures. Such an…

Other Computer Science · Computer Science 2012-01-18 Krasimir Yordzhev , Hristina Kostadinova

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

Neural-symbolic learning, an intersection of neural networks and symbolic reasoning, aims to blend neural networks' learning capabilities with symbolic AI's interpretability and reasoning. This paper introduces an approach designed to…

Artificial Intelligence · Computer Science 2025-06-10 Fadi Al Machot

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

Large Language Models (LLMs) have shown their success in language understanding and reasoning on general topics. However, their capability to perform inference based on user-specified structured data and knowledge in corpus-rare concepts,…

Computation and Language · Computer Science 2024-10-29 Haitao Jiang , Lin Ge , Yuhe Gao , Jianian Wang , Rui Song

We investigate how large language models (LLMs) fail when tabular data in an otherwise canonical representation is subjected to semantic and structural distortions. Our findings reveal that LLMs lack an inherent ability to detect and…

Artificial Intelligence · Computer Science 2026-01-09 Avik Dutta , Harshit Nigam , Hosein Hasanbeig , Arjun Radhakrishna , Sumit Gulwani

In recent years, large language models (LLMs) have shown significant advancements in natural language processing (NLP), with strong capa-bilities in generation, comprehension, and rea-soning. These models have found applications in…

Artificial Intelligence · Computer Science 2025-04-02 Hui Wang

This paper introduces a causal attribution model to enhance the interpretability of large language models (LLMs) and improve their causal reasoning abilities via precise fine-tuning. Despite LLMs' proficiency in diverse tasks, their…

Artificial Intelligence · Computer Science 2026-05-22 Hengrui Cai , Shengjie Liu , Rui Song

Recent Large Language Models (LLMs) have significantly advanced natural language processing and automated decision-making. However, these models still encounter difficulties when performing complex reasoning tasks involving logical…

Computation and Language · Computer Science 2025-06-26 Yubo Dong , Hehe Fan

Large language models (LLMs) have demonstrated impressive capabilities, yet their internal mechanisms for handling reasoning-intensive tasks remain underexplored. To advance the understanding of model-internal processing mechanisms, we…

Computation and Language · Computer Science 2026-04-20 Tanja Baeumel , Josef van Genabith , Simon Ostermann

Large language models (LLMs) have shown impressive capabilities, but still struggle with complex reasoning tasks requiring multiple steps. While prompt-based methods like Chain-of-Thought (CoT) can improve LLM reasoning at inference time,…

Artificial Intelligence · Computer Science 2024-11-25 Haolin Chen , Yihao Feng , Zuxin Liu , Weiran Yao , Akshara Prabhakar , Shelby Heinecke , Ricky Ho , Phil Mui , Silvio Savarese , Caiming Xiong , Huan Wang

Large reasoning models (LRMs) achieve strong performance on mathematical reasoning tasks, often attributed to their capability to generate explicit chain-of-thought (CoT) explanations. However, recent work shows that LRMs often arrive at…

Computation and Language · Computer Science 2026-04-20 Yihong Liu , Raoyuan Zhao , Hinrich Schütze , Michael A. Hedderich

The potential for Large Language Models (LLMs) to generate new information offers a potential step change for research and innovation. This is challenging to assert as it can be difficult to determine what an LLM has previously seen during…

Computation and Language · Computer Science 2024-05-24 Thomas Greatrix , Roger Whitaker , Liam Turner , Walter Colombo

While Transformers have enabled tremendous progress in various application settings, such architectures still trail behind traditional symbolic planners for solving complex decision making tasks. In this work, we demonstrate how to train…

Artificial Intelligence · Computer Science 2024-04-30 Lucas Lehnert , Sainbayar Sukhbaatar , DiJia Su , Qinqing Zheng , Paul Mcvay , Michael Rabbat , Yuandong Tian