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In large language models (LLMs), code and reasoning reinforce each other: code offers an abstract, modular, and logic-driven structure that supports reasoning, while reasoning translates high-level goals into smaller, executable steps that…

Computation and Language · Computer Science 2025-02-27 Dayu Yang , Tianyang Liu , Daoan Zhang , Antoine Simoulin , Xiaoyi Liu , Yuwei Cao , Zhaopu Teng , Xin Qian , Grey Yang , Jiebo Luo , Julian McAuley

Large Language Models (LLMs) show remarkable capabilities, yet their stochastic next-token prediction creates logical inconsistencies and reward hacking that formal symbolic systems avoid. To bridge this gap, we introduce a formal logic…

Machine Learning · Computer Science 2026-02-02 Chuxue Cao , Jinluan Yang , Haoran Li , Kunhao Pan , Zijian Zhao , Zhengyu Chen , Yuchen Tian , Lijun Wu , Conghui He , Sirui Han , Yike Guo

This paper investigates the ability of large language models (LLMs) to solve statistical tasks, as well as their capacity to assess the quality of reasoning. While state-of-the-art LLMs have demonstrated remarkable performance in a range of…

Computation and Language · Computer Science 2026-01-22 Crish Nagarkar , Leonid Bogachev , Serge Sharoff

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

We propose the Neural Logic Machine (NLM), a neural-symbolic architecture for both inductive learning and logic reasoning. NLMs exploit the power of both neural networks---as function approximators, and logic programming---as a symbolic…

Artificial Intelligence · Computer Science 2019-04-29 Honghua Dong , Jiayuan Mao , Tian Lin , Chong Wang , Lihong Li , Denny Zhou

Large Language Models (LLMs) have showcased impressive reasoning capabilities, particularly when guided by specifically designed prompts in complex reasoning tasks such as math word problems. These models typically solve tasks using a…

Artificial Intelligence · Computer Science 2024-04-23 Lang Cao

Despite the extensive investment and impressive recent progress at reasoning by similarity, deep learning continues to struggle with more complex forms of reasoning such as non-monotonic and commonsense reasoning. Non-monotonicity is a…

Artificial Intelligence · Computer Science 2023-05-04 Sofoklis Kyriakopoulos , Artur S. d'Avila Garcez

Symbolic reasoning, rule-based symbol manipulation, is a hallmark of human intelligence. However, rule-based systems have had limited success competing with learning-based systems outside formalized domains such as automated theorem…

Machine Learning · Computer Science 2021-11-24 Kaiyu Yang , Jia Deng

Normative reasoning is a type of reasoning that involves normative or deontic modality, such as obligation and permission. While large language models (LLMs) have demonstrated remarkable performance across various reasoning tasks, their…

Artificial Intelligence · Computer Science 2025-11-03 Kentaro Ozeki , Risako Ando , Takanobu Morishita , Hirohiko Abe , Koji Mineshima , Mitsuhiro Okada

Large Language Models (LLMs) have demonstrated strong capabilities in natural language understanding and reasoning. However, their ability to perform exact, deterministic computation remains unclear. In this work, we systematically evaluate…

Artificial Intelligence · Computer Science 2026-05-08 Hongkun Yu

Meta reasoning behaviors work as a skeleton to guide large language model (LLM) reasoning, thus help to improve reasoning performance. However, prior researches implement meta reasoning skeleton with manually designed structure, limiting…

Artificial Intelligence · Computer Science 2026-04-17 Ziying Zhang , Yaqing Wang , Quanming Yao

Large language models (LLMs), in conjunction with various reasoning reinforcement methodologies, have demonstrated remarkable capabilities comparable to humans in fields such as mathematics, law, coding, common sense, and world knowledge.…

Artificial Intelligence · Computer Science 2024-03-28 Chuwen Wang , Shirong Zeng , Cheng Wang

Resolving complex information needs that come with multiple constraints should consider enforcing the logical operators encoded in the query (i.e., conjunction, disjunction, negation) on the candidate answer set. Current retrieval systems…

Information Retrieval · Computer Science 2026-02-02 Mohanna Hoveyda , Jelle Piepenbrock , Arjen P de Vries , Maarten de Rijke , Faegheh Hasibi

Training large language models (LLMs) with chain-of-thought (CoT) supervision has proven effective for enhancing their reasoning abilities. However, obtaining reliable and accurate reasoning supervision remains a significant challenge. We…

Computation and Language · Computer Science 2025-10-21 Dongwon Jung , Wenxuan Zhou , Muhao Chen

Large Language Models (LLMs) have been touted as AI models possessing advanced reasoning abilities. In theory, autoregressive LLMs with Chain-of-Thought (CoT) can perform more serial computations to solve complex reasoning tasks. However,…

Artificial Intelligence · Computer Science 2025-04-08 Rishi Hazra , Gabriele Venturato , Pedro Zuidberg Dos Martires , Luc De Raedt

While large language models (LLMs) equipped with techniques like chain-of-thought prompting have demonstrated impressive capabilities, they still fall short in their ability to reason robustly in complex settings. However, evaluating LLM…

Computation and Language · Computer Science 2024-03-26 Zayne Sprague , Xi Ye , Kaj Bostrom , Swarat Chaudhuri , Greg Durrett

Large Language Models (LLMs) often struggle with complex mathematical reasoning, where prose-based generation leads to unverified and arithmetically unsound solutions. Current prompting strategies like Chain of Thought still operate within…

Computation and Language · Computer Science 2026-01-27 Sina Bagheri Nezhad , Yao Li , Ameeta Agrawal

This survey reviews works in which language models (LMs) are augmented with reasoning skills and the ability to use tools. The former is defined as decomposing a potentially complex task into simpler subtasks while the latter consists in…

Despite recent advances in training and prompting strategies for Large Language Models (LLMs), these models continue to face challenges with complex logical reasoning tasks that involve long reasoning chains. In this work, we explore the…

Computation and Language · Computer Science 2024-12-18 Jiaming Zhou , Abbas Ghaddar , Ge Zhang , Liheng Ma , Yaochen Hu , Soumyasundar Pal , Mark Coates , Bin Wang , Yingxue Zhang , Jianye Hao

With the emergence of advanced reasoning models like OpenAI o3 and DeepSeek-R1, large language models (LLMs) have demonstrated remarkable reasoning capabilities. However, their ability to perform rigorous logical reasoning remains an open…

Artificial Intelligence · Computer Science 2025-02-14 Hanmeng Liu , Zhizhang Fu , Mengru Ding , Ruoxi Ning , Chaoli Zhang , Xiaozhang Liu , Yue Zhang
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