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Large language models (LLMs) have proven to be highly effective for solving complex reasoning tasks. Surprisingly, their capabilities can often be improved by iterating on previously generated solutions. In this context, a reasoning plan…

Artificial Intelligence · Computer Science 2025-12-05 MohammadHossein Bateni , Vincent Cohen-Addad , Yuzhou Gu , Silvio Lattanzi , Simon Meierhans , Christopher Mohri

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…

Computation and Language · Computer Science 2024-09-24 Diego Calanzone , Stefano Teso , Antonio Vergari

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

Despite the remarkable progress in neural models, their ability to generalize, a cornerstone for applications such as logical reasoning, remains a critical challenge. We delineate two fundamental aspects of this ability: compositionality,…

Computation and Language · Computer Science 2026-05-06 Manuel Vargas Guzmán , Jakub Szymanik , Maciej Malicki

Retrieval-Augmented Generation (RAG) has been shown to enhance the factual accuracy of Large Language Models (LLMs), but existing methods often suffer from limited reasoning capabilities in effectively using the retrieved evidence,…

Computation and Language · Computer Science 2024-10-03 Shayekh Bin Islam , Md Asib Rahman , K S M Tozammel Hossain , Enamul Hoque , Shafiq Joty , Md Rizwan Parvez

Despite the broad applicability of large language models (LLMs), their reliance on probabilistic inference makes them vulnerable to errors such as hallucination in generated facts and inconsistent output structure in natural language…

Computation and Language · Computer Science 2025-10-24 Xin Lian , Kenneth D. Forbus

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…

Artificial Intelligence · Computer Science 2026-01-12 Ali Farjami , Luca Redondi , Marco Valentino

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…

Computation and Language · Computer Science 2024-05-24 Neisarg Dave , Daniel Kifer , C. Lee Giles , Ankur Mali

In the context of large language models (LLMs), current advanced reasoning methods have made impressive strides in various reasoning tasks. However, when it comes to logical reasoning tasks, major challenges remain in both efficacy and…

Computation and Language · Computer Science 2025-10-01 Jundong Xu , Hao Fei , Meng Luo , Qian Liu , Liangming Pan , William Yang Wang , Preslav Nakov , Mong-Li Lee , Wynne Hsu

Reasoning over knowledge graphs (KGs) with first-order logic (FOL) queries is challenging due to the inherent incompleteness of real-world KGs and the compositional complexity of logical query structures. Most existing methods rely on…

Computation and Language · Computer Science 2025-12-23 Ziyan Zhang , Chao Wang , Zhuo Chen , Lei Chen , Chiyi Li , Kai Song

Question answering (QA) is a core challenge in AI, particularly for complex queries requiring multi-hop reasoning across documents, or symbolic operations like aggregation or exhaustive listing. Retrieval-augmented generation has become the…

Artificial Intelligence · Computer Science 2026-05-29 Lorenzo Loconte , Timothy Hospedales , Cristina Cornelio

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…

Computation and Language · Computer Science 2025-10-09 Lei Xu , Pierre Beckmann , Marco Valentino , André Freitas

As large language models (LLMs) are increasing integrated into fact-checking pipelines, formal logic is often proposed as a rigorous means by which to mitigate bias, errors and hallucinations in these models' outputs. For example, some…

Computation and Language · Computer Science 2026-04-28 Jason Chan , Robert Gaizauskas , Zhixue Zhao

Large Language Models (LLMs) have revolutionized natural language processing, yet they struggle with inconsistent reasoning, particularly in novel domains and complex logical sequences. This research introduces Proof of Thought, a framework…

Artificial Intelligence · Computer Science 2024-10-24 Debargha Ganguly , Srinivasan Iyengar , Vipin Chaudhary , Shivkumar Kalyanaraman

This paper presents a novel approach termed Layer-of-Thoughts Prompting (LoT), which utilizes constraint hierarchies to filter and refine candidate responses to a given query. By integrating these constraints, our method enables a…

Computation and Language · Computer Science 2024-10-17 Wachara Fungwacharakorn , Nguyen Ha Thanh , May Myo Zin , Ken Satoh

Large Language Models (LLMs), despite their success in question answering, exhibit limitations in complex multi-hop question answering (MQA) tasks that necessitate non-linear, structured reasoning. This limitation stems from their inability…

Computation and Language · Computer Science 2025-09-25 Haonan Bian , Yutao Qi , Rui Yang , Yuanxi Che , Jiaqian Wang , Heming Xia , Ranran Zhen

Understanding the high-level conceptual structure of quantum algorithms from their low-level circuit representations is a critical task for verification, debugging, and education. While traditional numerical simulators can calculate output…

Quantum Physics · Physics 2026-03-31 Min Chen , Jinglei Cheng , Pingzhi Li , Haoran Wang , Tianlong Chen , Junyu Liu

First-order logic (FOL) reasoning, which involves sequential deduction, is pivotal for intelligent systems and serves as a valuable task for evaluating reasoning capabilities, particularly in chain-of-thought (CoT) contexts. Existing…

Computation and Language · Computer Science 2025-03-04 Chengwen Qi , Ren Ma , Bowen Li , He Du , Binyuan Hui , Jinwang Wu , Yuanjun Laili , Conghui He

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

The growing complexity of log data in modern software systems has prompted the use of Large Language Models (LLMs) for automated log analysis. Current approaches typically rely on direct supervised fine-tuning (SFT) on log-label pairs.…