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The ability to manipulate logical-mathematical symbols (LMS), encompassing tasks such as calculation, reasoning, and programming, is a cognitive skill arguably unique to humans. Considering the relatively recent emergence of this ability in…

Neurons and Cognition · Quantitative Biology 2024-06-21 Yuannan Li , Shan Xu , Jia Liu

Part of the theory of logic programming and nonmonotonic reasoning concerns the study of fixed-point semantics for these paradigms. Several different semantics have been proposed during the last two decades, and some have been more…

Artificial Intelligence · Computer Science 2007-05-23 Pascal Hitzler , Matthias Wendt

The ability of Large Language Models (LLMs) to perform reasoning tasks such as deduction has been widely investigated in recent years. Yet, their capacity to generate proofs-faithful, human-readable explanations of why conclusions…

Artificial Intelligence · Computer Science 2026-01-21 Hui Yang , Jiaoyan Chen , Uli Sattler

While logical reasoning evaluation of Large Language Models (LLMs) has attracted significant attention, existing benchmarks predominantly rely on multiple-choice formats that are vulnerable to random guessing, leading to overestimated…

Computation and Language · Computer Science 2025-02-25 Qin Zhu , Fei Huang , Runyu Peng , Keming Lu , Bowen Yu , Qinyuan Cheng , Xipeng Qiu , Xuanjing Huang , Junyang Lin

The emergence of Large Language Models (LLMs) has demonstrated promising progress in solving logical reasoning tasks effectively. Several recent approaches have proposed to change the role of the LLM from the reasoner into a translator…

Computation and Language · Computer Science 2024-07-12 Long Hei Matthew Lam , Ramya Keerthy Thatikonda , Ehsan Shareghi

Multi-agent reinforcement learning (MARL) is well-suited for runtime decision-making in optimizing the performance of systems where multiple agents coexist and compete for shared resources. However, applying common deep learning-based MARL…

Large Language Models (LLMs) are expected to be predictable and trustworthy to support reliable decision-making systems. Yet current LLMs often show inconsistencies in their judgments. In this work, we examine logical preference consistency…

Computation and Language · Computer Science 2025-02-11 Yinhong Liu , Zhijiang Guo , Tianya Liang , Ehsan Shareghi , Ivan Vulić , Nigel Collier

Large Language Models (LLMs) have demonstrated remarkable capabilities in reasoning and tool use. However, the fundamental cognitive faculties essential for problem solving, including perception, reasoning, and memory, remain the stable…

Artificial Intelligence · Computer Science 2026-05-12 Xiaozhe Li , Jixuan Chen , Xinyu Fang , Shengyuan Ding , Haodong Duan , Qingwen Liu , Kai Chen

Language has long been conceived as an essential tool for human reasoning. The breakthrough of Large Language Models (LLMs) has sparked significant research interest in leveraging these models to tackle complex reasoning tasks. Researchers…

Large language models (LLMs) are advanced artificial intelligence (AI) systems that can perform a variety of tasks commonly found in human intelligence tests, such as defining words, performing calculations, and engaging in verbal…

Computation and Language · Computer Science 2024-09-12 David Ilić , Gilles E. Gignac

Recently developed large language models (LLMs) have been shown to perform remarkably well on a wide range of language understanding tasks. But, can they really "reason" over the natural language? This question has been receiving…

Computation and Language · Computer Science 2024-06-07 Mihir Parmar , Nisarg Patel , Neeraj Varshney , Mutsumi Nakamura , Man Luo , Santosh Mashetty , Arindam Mitra , Chitta Baral

A logic program is an executable specification. For example, merge sort in pure Prolog is a logical formula, yet shows creditable performance on long linked lists. But such executable specifications are a compromise: the logic is distorted…

Programming Languages · Computer Science 2015-09-29 M. H. van Emden

Large language models (LLMs) have substantially advanced machine learning research, including natural language processing, computer vision, data mining, etc., yet they still exhibit critical limitations in explainability, reliability,…

Machine Learning · Computer Science 2025-09-19 Xin Wang , Haoyang Li , Haibo Chen , Zeyang Zhang , Wenwu Zhu

Programming Language Processing (PLP) using machine learning has made vast improvements in the past few years. Increasingly more people are interested in exploring this promising field. However, it is challenging for new researchers and…

Machine Learning · Computer Science 2023-06-19 Patrick Flynn , Tristan Vanderbruggen , Chunhua Liao , Pei-Hung Lin , Murali Emani , Xipeng Shen

Large Language Models (LLMs) were shown to struggle with long-term planning, which may be caused by the limited way in which they explore the space of possible solutions. We propose an architecture where a Reinforcement Learning (RL) Agent…

Machine Learning · Computer Science 2024-10-18 Yoav Alon , Cristina David

Assisting LLMs with code generation improved their performance on mathematical reasoning tasks. However, the evaluation of code-assisted LLMs is generally restricted to execution correctness, lacking a rigorous evaluation of their generated…

Computation and Language · Computer Science 2025-07-23 Zena Al-Khalili , Nick Howell , Dietrich Klakow

Despite their linguistic competence, Large Language Models (LLMs) often struggle to reason reliably and flexibly. To identify these shortcomings, we introduce the Non-Linear Reasoning (NLR) dataset, a collection of 55 unique, hand-designed…

Computation and Language · Computer Science 2025-12-02 Nasim Borazjanizadeh , Steven T. Piantadosi

In the theory of answer set programming, two groups of rules are called strongly equivalent if, informally speaking, they have the same meaning in any context. The relationship between strong equivalence and the propositional logic of…

Logic in Computer Science · Computer Science 2023-06-22 Vladimir Lifschitz

Large Language Models (LLMs) have been widely used to automate programming tasks. Their capabilities have been evaluated by assessing the quality of generated code through tests or proofs. The extent to which they can reason about code is a…

Software Engineering · Computer Science 2026-04-08 Changshu Liu , Yang Chen , Reyhaneh Jabbarvand

The emergence of tools based on artificial intelligence has also led to the need of producing explanations which are understandable by a human being. In most approaches, the system is considered a black box, making it difficult to generate…

Artificial Intelligence · Computer Science 2024-10-23 Germán Vidal