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Large language models (LLMs) have shown promising first-order logic (FOL) reasoning capabilities with applications in various areas. However, their effectiveness in complex mathematical reasoning involving multi-step FOL deductions is still…

Artificial Intelligence · Computer Science 2025-06-23 Chuxue Cao , Mengze Li , Juntao Dai , Jinluan Yang , Zijian Zhao , Shengyu Zhang , Weijie Shi , Chengzhong Liu , Sirui Han , Yike Guo

Logical reasoning, i.e., deductively inferring the truth value of a conclusion from a set of premises, is an important task for artificial intelligence with wide potential impacts on science, mathematics, and society. While many…

Computation and Language · Computer Science 2024-02-15 Theo X. Olausson , Alex Gu , Benjamin Lipkin , Cedegao E. Zhang , Armando Solar-Lezama , Joshua B. Tenenbaum , Roger Levy

Transformer-based encoder-decoder models have demonstrated impressive results in chemical reaction prediction tasks. However, these models typically rely on pretraining using tens of millions of unlabelled molecules, which can be…

Computation and Language · Computer Science 2024-05-20 Jiayun Pang , Ivan Vulić

Large Language Models (LLMs) are primarily trained on high-resource natural languages, limiting their effectiveness in low-resource settings and in tasks requiring deep logical reasoning. This research introduces Rosetta-PL, a benchmark…

Computation and Language · Computer Science 2025-05-06 Shaun Baek , Shaun Esua-Mensah , Cyrus Tsui , Sejan Vigneswaralingam , Abdullah Alali , Michael Lu , Vasu Sharma , Sean O'Brien , Kevin Zhu

Similarity in formal argumentation has recently gained attention due to its significance in problems such as argument aggregation in semantics and enthymeme decoding. While existing approaches focus on propositional logic, we address the…

Artificial Intelligence · Computer Science 2026-04-15 Victor David , Jérôme Delobelle , Jean-Guy Mailly

In this paper we examine the limitations of Large Language Models (LLMs) for complex reasoning tasks. Although recent works have started to employ formal languages as an intermediate representation for reasoning tasks, they often face…

Logic in Computer Science · Computer Science 2024-08-07 Shashank Kirtania , Priyanshu Gupta , Arjun Radhakirshna

Recent studies reveal that large language models (LLMs) exhibit limited logical reasoning abilities in mathematical problem-solving, instead often relying on pattern-matching and memorization. We systematically analyze this limitation,…

Computation and Language · Computer Science 2026-04-21 Shaojie Wang , Liang Zhang

Despite recent breakthroughs in reasoning-enhanced large language models (LLMs) like DeepSeek-R1, incorporating inference-time reasoning into machine translation (MT), where human translators naturally employ structured, multi-layered…

Computation and Language · Computer Science 2025-05-27 Minggui He , Yilun Liu , Shimin Tao , Yuanchang Luo , Hongyong Zeng , Chang Su , Li Zhang , Hongxia Ma , Daimeng Wei , Weibin Meng , Hao Yang , Boxing Chen , Osamu Yoshie

Large language models (LLMs) have shown exceptional performance on a variety of natural language tasks. Yet, their capabilities for HTML understanding -- i.e., parsing the raw HTML of a webpage, with applications to automation of web-based…

Logical reasoning remains a challenge for natural language processing, but it can be improved by training language models to mimic theorem provers on procedurally generated problems. Previous work used domain-specific proof generation…

Computation and Language · Computer Science 2024-06-18 Damien Sileo

First-order linear temporal logic (FOLTL) is a flexible and expressive formalism capable of naturally describing complex behaviors and properties. Although the logic is in general highly undecidable, the idea of using it as a specification…

Logic in Computer Science · Computer Science 2024-05-31 Luca Geatti , Alessandro Gianola , Nicola Gigante

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

Large language models perform well on many logical reasoning benchmarks, but it remains unclear which core logical skills they truly master. To address this, we introduce LogicSkills, a benchmark that isolates three fundamental logical…

Artificial Intelligence · Computer Science 2026-03-18 Brian Rabern , Philipp Mondorf , Barbara Plank

Existing efforts to improve logical reasoning ability of language models have predominantly relied on supervised fine-tuning, hindering generalization to new domains and/or tasks. The development of Large Langauge Models (LLMs) has…

Computation and Language · Computer Science 2024-06-18 Fangkai Jiao , Zhiyang Teng , Bosheng Ding , Zhengyuan Liu , Nancy F. Chen , Shafiq Joty

This paper presents matching logic, a first-order logic (FOL) variant for specifying and reasoning about structure by means of patterns and pattern matching. Its sentences, the patterns, are constructed using variables, symbols, connectives…

Logic in Computer Science · Computer Science 2019-03-14 Grigore Rosu

Large Language Models (LLM) and foundation models are popular as they offer new opportunities for individuals and businesses to improve natural language processing, interact with data, and retrieve information faster. However, training or…

Machine Learning · Computer Science 2024-05-03 Herbert Woisetschläger , Alexander Isenko , Shiqiang Wang , Ruben Mayer , Hans-Arno Jacobsen

Finetuning language models on a collection of datasets phrased as instructions has been shown to improve model performance and generalization to unseen tasks. In this paper we explore instruction finetuning with a particular focus on (1)…

The fluency and creativity of large pre-trained language models (LLMs) have led to their widespread use, sometimes even as a replacement for traditional search engines. Yet language models are prone to making convincing but factually…

Computation and Language · Computer Science 2023-11-15 Katherine Tian , Eric Mitchell , Huaxiu Yao , Christopher D. Manning , Chelsea Finn

Large Language Models (LLMs) have demonstrated impressive reasoning capabilities, leading to their adoption in high-stakes domains such as healthcare, law, and scientific research. However, their reasoning often contains subtle logical…

Software Engineering · Computer Science 2025-12-30 Xinyi Zheng , Ningke Li , Xiaokun Luan , Kailong Wang , Ling Shi , Meng Sun , Haoyu Wang

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