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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…

计算与语言 · 计算机科学 2025-12-02 Nasim Borazjanizadeh , Steven T. Piantadosi

Large Language Models (LLMs) have exhibited remarkable potential across a wide array of reasoning tasks, including logical reasoning. Although massive efforts have been made to empower the logical reasoning ability of LLMs via external…

计算与语言 · 计算机科学 2024-10-30 Qingchuan Li , Jiatong Li , Tongxuan Liu , Yuting Zeng , Mingyue Cheng , Weizhe Huang , Qi Liu

Large Language Models (LLMs) have demonstrated impressive progress in complex reasoning tasks, largely driven by the Chain-of-Thought (CoT) paradigm, which decomposes difficult problems into intermediate steps. However, CoT reasoning…

符号计算 · 计算机科学 2026-05-26 Rui Wang , Zeming Wei , Yihao Zhang , Xiaokun Luan

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…

计算与语言 · 计算机科学 2023-10-20 Liangming Pan , Alon Albalak , Xinyi Wang , William Yang Wang

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…

Large language models (LLMs) struggle with formal domains that require rigorous logical deduction and symbolic reasoning, such as mathematical proof generation. We propose a neuro-symbolic approach that combines LLMs' generative strengths…

人工智能 · 计算机科学 2026-05-26 Oren Sultan , Eitan Stern , Dafna Shahaf

Large Language Models (LLMs) have shown promising results across various tasks, yet their reasoning capabilities remain a fundamental challenge. Developing AI systems with strong reasoning capabilities is regarded as a crucial milestone in…

人工智能 · 计算机科学 2025-08-20 Xiao-Wen Yang , Jie-Jing Shao , Lan-Zhe Guo , Bo-Wen Zhang , Zhi Zhou , Lin-Han Jia , Wang-Zhou Dai , Yu-Feng Li

Large language models (LLMs) can prove mathematical theorems formally by generating proof steps (\textit{a.k.a.} tactics) within a proof system. However, the space of possible tactics is vast and complex, while the available training data…

人工智能 · 计算机科学 2025-02-28 Zenan Li , Zhaoyu Li , Wen Tang , Xian Zhang , Yuan Yao , Xujie Si , Fan Yang , Kaiyu Yang , Xiaoxing Ma

Large language models (LLMs) solve complex problems yet fail on simpler variants, suggesting they achieve correct outputs through mechanisms fundamentally different from human reasoning. To understand this gap, we synthesize cognitive…

Neuro-symbolic NLP methods aim to leverage the complementary strengths of large language models and formal logical solvers. However, current approaches are mostly static in nature, i.e., the integration of a target solver is predetermined…

计算与语言 · 计算机科学 2025-10-09 Lei Xu , Pierre Beckmann , Marco Valentino , André Freitas

Large language models (LLMs) are a promising venue for natural language understanding and generation. However, current LLMs are far from reliable: they are prone to generating non-factual information and, more crucially, to contradicting…

计算与语言 · 计算机科学 2024-09-24 Diego Calanzone , Stefano Teso , Antonio Vergari

Large Language Models (LLMs) excel in complex reasoning tasks but struggle with consistent rule application, exception handling, and explainability, particularly in domains like legal analysis that require both natural language…

人工智能 · 计算机科学 2025-11-11 Albert Sadowski , Jarosław A. Chudziak

A critical question about Large Language Models (LLMs) is whether their apparent deficiency in mathematical reasoning is inherent, or merely a result of insufficient exposure to high-quality mathematical data. To explore this, we developed…

人工智能 · 计算机科学 2024-12-09 Zenan Li , Zhi Zhou , Yuan Yao , Yu-Feng Li , Chun Cao , Fan Yang , Xian Zhang , Xiaoxing Ma

Prompting techniques have significantly enhanced the capabilities of Large Language Models (LLMs) across various complex tasks, including reasoning, planning, and solving math word problems. However, most research has predominantly focused…

计算与语言 · 计算机科学 2024-05-24 Neisarg Dave , Daniel Kifer , C. Lee Giles , Ankur Mali

We propose a hybrid architecture that integrates decision tree-based symbolic reasoning with the generative capabilities of large language models (LLMs) within a coordinated multi-agent framework. Unlike prior approaches that loosely couple…

人工智能 · 计算机科学 2025-08-08 Andrew Kiruluta

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…

机器学习 · 计算机科学 2025-11-19 Varun Dhanraj , Chris Eliasmith

Large Language Models (LLMs) achieve impressive performance in a wide range of tasks, even if they are often trained with the only objective of chatting fluently with users. Among other skills, LLMs show emergent abilities in mathematical…

计算与语言 · 计算机科学 2024-06-12 Flavio Petruzzellis , Alberto Testolin , Alessandro Sperduti

Large Language Models (LLMs) have succeeded remarkably in various natural language processing (NLP) tasks, yet their reasoning capabilities remain a fundamental challenge. While LLMs exhibit impressive fluency and factual recall, their…

计算与语言 · 计算机科学 2025-05-29 Avinash Patil , Aryan Jadon

Large language models (LLMs) and theorem provers (TPs) can be effectively combined for verifiable natural language inference (NLI). However, existing approaches rely on a fixed logical formalism, a feature that limits robustness and…

人工智能 · 计算机科学 2026-01-12 Ali Farjami , Luca Redondi , Marco Valentino

The rise of Large Reasoning Models (LRMs) signifies a paradigm shift toward advanced computational reasoning. Yet, this progress disrupts traditional agent frameworks, traditionally anchored by execution-oriented Large Language Models…

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