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Generating accurate step-by-step reasoning is essential for Large Language Models (LLMs) to address complex problems and enhance robustness and interpretability. Despite the flux of research on developing advanced reasoning approaches,…

Computation and Language · Computer Science 2024-08-13 Shibo Hao , Yi Gu , Haotian Luo , Tianyang Liu , Xiyan Shao , Xinyuan Wang , Shuhua Xie , Haodi Ma , Adithya Samavedhi , Qiyue Gao , Zhen Wang , Zhiting Hu

We propose a novel framework for comprehending the reasoning capabilities of large language models (LLMs) through the perspective of meta-learning. By conceptualizing reasoning trajectories as pseudo-gradient descent updates to the LLM's…

Computation and Language · Computer Science 2025-05-27 Junnan Liu , Hongwei Liu , Linchen Xiao , Shudong Liu , Taolin Zhang , Zihan Ma , Songyang Zhang , Kai Chen

As a present to Mizar on its 50th anniversary, we develop an AI/TP system that automatically proves about 60\% of the Mizar theorems in the hammer setting. We also automatically prove 75\% of the Mizar theorems when the automated provers…

Commonsense reasoning is a difficult task for a computer, but a critical skill for an artificial intelligence (AI). It can enhance the explainability of AI models by enabling them to provide intuitive and human-like explanations for their…

Artificial Intelligence · Computer Science 2024-07-08 Stefanie Krause , Frieder Stolzenburg

We report on several scenarios of using automated theorem proving software in university education. In particular, we focus on using the Theorema system in a software-enhanced logic-course for students in computer science or artificial…

Logic in Computer Science · Computer Science 2022-01-20 Wolfgang Windsteiger

Large Language Models (LLMs) have achieved impressive results in Machine Translation (MT). However, careful evaluations by human reveal that the translations produced by LLMs still contain multiple errors. Importantly, feeding back such…

Computation and Language · Computer Science 2024-06-24 Zhaopeng Feng , Yan Zhang , Hao Li , Bei Wu , Jiayu Liao , Wenqiang Liu , Jun Lang , Yang Feng , Jian Wu , Zuozhu Liu

Machine learning (ML) is about computational methods that enable machines to learn concepts from experience. In handling a wide variety of experience ranging from data instances, knowledge, constraints, to rewards, adversaries, and lifelong…

Machine Learning · Computer Science 2023-01-11 Zhiting Hu , Eric P. Xing

Teaching machines to read natural language documents remains an elusive challenge. Machine reading systems can be tested on their ability to answer questions posed on the contents of documents that they have seen, but until now large scale…

Computation and Language · Computer Science 2015-11-20 Karl Moritz Hermann , Tomáš Kočiský , Edward Grefenstette , Lasse Espeholt , Will Kay , Mustafa Suleyman , Phil Blunsom

We present TuringQ, the first benchmark designed to evaluate the reasoning capabilities of large language models (LLMs) in the theory of computation. TuringQ consists of 4,006 undergraduate and graduate-level question-answer pairs,…

Computation and Language · Computer Science 2024-10-10 Pardis Sadat Zahraei , Ehsaneddin Asgari

Large language models (LLMs) are increasingly integrated into high-stakes decision-making. Inspired by the theory of \emph{inattentional blindness} in human cognition, we investigate whether LLMs, trained on human-preferred corpora that…

Computation and Language · Computer Science 2026-05-20 Yuanqing Cai , Ziyi Huang , Minhao Liu , Lixin Duan , Wen Li , Yanru Zhang

Automata learning has been successfully applied in the verification of hardware and software. The size of the automaton model learned is a bottleneck for scalability, and hence optimizations that enable learning of compact representations…

Formal Languages and Automata Theory · Computer Science 2019-11-04 Gerco van Heerdt , Matteo Sammartino , Alexandra Silva

Large language models (LLMs) have demonstrated remarkable capabilities in problem-solving. However, their proficiency in solving mathematical problems remains inadequate. We propose MathScale, a simple and scalable method to create…

Computation and Language · Computer Science 2024-03-06 Zhengyang Tang , Xingxing Zhang , Benyou Wang , Furu Wei

Understanding the internal reasoning behind the predictions of machine learning systems is increasingly vital, given their rising adoption and acceptance. While previous approaches, such as LIME, generate algorithmic explanations by…

Computation and Language · Computer Science 2023-05-23 Rakesh R. Menon , Kerem Zaman , Shashank Srivastava

LLMs demonstrate performance comparable to human abilities in complex tasks such as mathematical reasoning, but their robustness in mathematical reasoning under minor input perturbations still lacks systematic investigation. Existing…

Artificial Intelligence · Computer Science 2025-11-12 Zhishen Sun , Guang Dai , Haishan Ye

Large language models (LLMs) have demonstrated impressive capabilities and are receiving increasing attention to enhance their reasoning through scaling test--time compute. However, their application in open--ended, knowledge--intensive,…

Artificial Intelligence · Computer Science 2025-05-27 Yize Zhang , Tianshu Wang , Sirui Chen , Kun Wang , Xingyu Zeng , Hongyu Lin , Xianpei Han , Le Sun , Chaochao Lu

Large Language Models (LLMs) have demonstrated impressive capabilities in structured reasoning and symbolic tasks, with coding emerging as a particularly successful application. This progress has naturally motivated efforts to extend these…

Artificial Intelligence · Computer Science 2026-02-02 Andrea Asperti , Alberto Naibo , Claudio Sacerdoti Coen

Machine Reading Comprehension (MRC) for question answering (QA), which aims to answer a question given the relevant context passages, is an important way to test the ability of intelligence systems to understand human language.…

Computation and Language · Computer Science 2019-11-20 Di Jin , Shuyang Gao , Jiun-Yu Kao , Tagyoung Chung , Dilek Hakkani-tur

We present MACLA, a framework that decouples reasoning from learning by maintaining a frozen large language model while performing all adaptation in an external hierarchical procedural memory. MACLA extracts reusable procedures from…

Machine Learning · Computer Science 2025-12-23 Saman Forouzandeh , Wei Peng , Parham Moradi , Xinghuo Yu , Mahdi Jalili

Reasoning-capable large language models (LLMs) have recently been adopted as automated judges, but their benefits and costs in LLM-as-a-Judge settings remain unclear. Through controlled comparisons between reasoning and non-reasoning…

Artificial Intelligence · Computer Science 2026-05-12 Wenbo Zhang , Lijinghua Zhang , Liner Xiang , Hengrui Cai

Large language models (LLMs) struggle in knowledge-intensive tasks, as retrievers often overfit to surface similarity and fail on queries involving complex logical relations. The capacity for logical analysis is inherent in model…

Computation and Language · Computer Science 2026-02-03 Wenxuan Zhang , Yuan-Hao Jiang , Changyong Qi , Rui Jia , Yonghe Wu