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Multimodal symbolic logical reasoning, which aims to deduce new facts from multimodal input via formal logic, is critical in high-stakes applications such as autonomous driving and medical diagnosis, as its rigorous, deterministic reasoning…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Jundong Xu , Hao Fei , Yuhui Zhang , Liangming Pan , Qijun Huang , Qian Liu , Preslav Nakov , Min-Yen Kan , William Yang Wang , Mong-Li Lee , Wynne Hsu

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

Large language models (LLMs) are increasingly evaluated on reasoning tasks, yet their logical abilities remain contested. To address this, we study LLMs' reasoning in a well-defined fragment of logic: syllogistic reasoning. We cast the…

Computation and Language · Computer Science 2026-01-27 Leonardo Bertolazzi , Manuel Vargas Guzmán , Raffaella Bernardi , Maciej Malicki , Jakub Szymanik

The reasoning abilities of Large Language Models (LLMs) are becoming a central focus of study in NLP. In this paper, we consider the case of syllogistic reasoning, an area of deductive reasoning studied extensively in logic and cognitive…

Computation and Language · Computer Science 2024-10-18 Leonardo Bertolazzi , Albert Gatt , Raffaella Bernardi

Large language models (LLMs) exhibit remarkable capabilities on not just language tasks, but also various tasks that are not linguistic in nature, such as logical reasoning and social inference. In the human brain, neuroscience has…

Computation and Language · Computer Science 2025-02-14 Badr AlKhamissi , Greta Tuckute , Antoine Bosselut , Martin Schrimpf

While large language models (LLMs) have shown strong performance in math and logic reasoning, their ability to handle combinatorial optimization (CO) -- searching high-dimensional solution spaces under hard constraints -- remains…

Artificial Intelligence · Computer Science 2026-04-13 Xia Jiang , Jing Chen , Cong Zhang , Jie Gao , Chengpeng Hu , Chenhao Zhang , Yaoxin Wu , Yingqian Zhang

Prior work has combined chain-of-thought prompting in large language models (LLMs) with programmatic representations to perform effective and transparent reasoning. While such an approach works well for tasks that only require forward…

Computation and Language · Computer Science 2023-10-13 Xi Ye , Qiaochu Chen , Isil Dillig , Greg Durrett

Translating natural language into formal language such as First-Order Logic (FOL) is a foundational challenge in NLP with wide-ranging applications in automated reasoning, misinformation tracking, and knowledge validation. In this paper, we…

Computation and Language · Computer Science 2025-03-07 Abhinav Lalwani , Tasha Kim , Lovish Chopra , Christopher Hahn , Zhijing Jin , Mrinmaya Sachan

Although Large Language Models (LLMs) excel at addressing straightforward reasoning tasks, they frequently struggle with difficulties when confronted by more complex multi-step reasoning due to a range of factors. Firstly, natural language…

Computation and Language · Computer Science 2024-02-22 Kewei Cheng , Nesreen K. Ahmed , Theodore Willke , Yizhou Sun

Human logic has gradually shifted from intuition-driven inference to rigorous formal systems. Motivated by recent advances in large language models (LLMs), we explore whether LLMs exhibit a similar evolution in the underlying logical…

Artificial Intelligence · Computer Science 2026-01-27 Zhengqing Zang , Yuqi Ding , Yanmei Gu , Changkai Song , Zhengkai Yang , Guoping Du , Junbo Zhao , Haobo Wang

Large language models (LLMs) have greatly improved their capability in performing NLP tasks. However, deeper semantic understanding, contextual coherence, and more subtle reasoning are still difficult to obtain. The paper discusses…

Computation and Language · Computer Science 2025-12-05 Mohanakrishnan Hariharan

Language Models (LMs) have demonstrated impressive capabilities in solving complex reasoning tasks, particularly when prompted to generate intermediate explanations. However, it remains an open question whether these intermediate reasoning…

Computation and Language · Computer Science 2025-02-25 Moritz Miller , Kumar Shridhar

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

Large Language Models (LLMs) have shown to be capable of various tasks, yet their capability in interpreting and reasoning over tabular data remains an underexplored area. In this context, this study investigates from three core…

Computation and Language · Computer Science 2023-12-29 Tianyang Liu , Fei Wang , Muhao Chen

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 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…

Computation and Language · Computer Science 2024-10-30 Qingchuan Li , Jiatong Li , Tongxuan Liu , Yuting Zeng , Mingyue Cheng , Weizhe Huang , Qi Liu

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…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed

These days, vast amounts of knowledge are available online, most of it in written form. Search engines help us access this knowledge, but aggregating, relating and reasoning with it is still a predominantly human effort. One of the key…

Computation and Language · Computer Science 2019-10-25 Michael Kohlhase , Jan Frederik Schaefer

A recent approach to neurosymbolic reasoning is to explicitly combine the strengths of large language models (LLMs) and symbolic solvers to tackle complex reasoning tasks. However, current approaches face significant limitations, including…

Artificial Intelligence · Computer Science 2026-01-08 Benjamin Callewaert , Simon Vandevelde , Joost Vennekens

Large Language Models (LLMs) have emerged as a promising alternative to traditional static program analysis methods, such as symbolic execution, offering the ability to reason over code directly without relying on theorem provers or SMT…

Programming Languages · Computer Science 2025-09-22 Yihe Li , Ruijie Meng , Gregory J. Duck