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Long-context reasoning is essential for complex real-world applications, yet remains a significant challenge for Large Language Models (LLMs). Despite the rapid evolution in long-context reasoning, current research often overlooks the…

Computation and Language · Computer Science 2026-04-10 Yanling Xiao , Huaibing Xie , Guoliang Zhao , Shihan Dou , Shaolei Wang , Yiting Liu , Nantao Zheng , Cheng Zhang , Pluto Zhou , Zhisong Zhang , Lemao Liu

Large language models (LLMs) have recently shown strong potential in modeling relational structures. However, existing approaches remain fundamentally graph-centric: they focus on processing pairwise graph structures into tokens that LLMs…

Computation and Language · Computer Science 2026-05-22 Mengqi Lei , Guohuan Xie , Shihui Ying , Shaoyi Du , Jun-Hai Yong , Siqi Li , Yue Gao

Automated Theorem Proving (ATP) in formal languages is a foundational challenge for AI. While Large Language Models (LLMs) have driven remarkable progress, a significant gap remains between their powerful informal reasoning capabilities and…

Logic in Computer Science · Computer Science 2025-07-10 Zhenwen Liang , Linfeng Song , Yang Li , Tao Yang , Feng Zhang , Haitao Mi , Dong Yu

Large Language Models (LLMs) are widely deployed in real-world applications, yet little is known about their training dynamics at the token level. Evaluation typically relies on aggregated training loss, measured at the batch level, which…

Computation and Language · Computer Science 2024-10-17 Andrea Pinto , Tomer Galanti , Randall Balestriero

Equation discovery is aimed at directly extracting physical laws from data and has emerged as a pivotal research domain. Previous methods based on symbolic mathematics have achieved substantial advancements, but often require the design of…

Machine Learning · Computer Science 2024-07-23 Mengge Du , Yuntian Chen , Zhongzheng Wang , Longfeng Nie , Dongxiao Zhang

Recent advancements in large language models (LLMs) have expanded their application across various domains, including chip design, where domain-adapted chip models like ChipNeMo have emerged. However, these models often struggle with…

Hardware Architecture · Computer Science 2025-07-17 Chenhui Deng , Yunsheng Bai , Haoxing Ren

Rule-based reasoning over natural language input arises in domains where decisions must be auditable and justifiable: clinical protocols specify eligibility criteria in prose, evidence rules define admissibility through textual conditions,…

Artificial Intelligence · Computer Science 2026-01-06 Albert Sadowski , Jarosław A. Chudziak

Autoformalization is the task of automatically translating mathematical content written in natural language to a formal language expression. The growing language interpretation capabilities of Large Language Models (LLMs), including in…

Computation and Language · Computer Science 2025-06-16 Lan Zhang , Xin Quan , Andre Freitas

As knowledge and semantics on the web grow increasingly complex, enhancing Large Language Models (LLMs)' comprehension and reasoning capabilities has become particularly important. Chain-of-Thought (CoT) prompting has been shown to enhance…

Artificial Intelligence · Computer Science 2026-01-21 Ke Chen , Jiandian Zeng , Zihao Peng , Guo Li , Guangxue Zhang , Tian Wang

Instruction tuning is a supervised fine-tuning approach that significantly improves the ability of large language models (LLMs) to follow human instructions. We propose SelfCodeAlign, the first fully transparent and permissive pipeline for…

Computation and Language · Computer Science 2024-11-04 Yuxiang Wei , Federico Cassano , Jiawei Liu , Yifeng Ding , Naman Jain , Zachary Mueller , Harm de Vries , Leandro von Werra , Arjun Guha , Lingming Zhang

Autoformalization, the task of automatically translating natural language descriptions into a formal language, poses a significant challenge across various domains, especially in mathematics. Recent advancements in large language models…

Computation and Language · Computer Science 2024-12-09 Zenan Li , Yifan Wu , Zhaoyu Li , Xinming Wei , Xian Zhang , Fan Yang , Xiaoxing Ma

Solving topological grid puzzles requires reasoning over global spatial invariants such as connectivity, loop closure, and region symmetry and remains challenging for even the most powerful large language models (LLMs). To study these…

Artificial Intelligence · Computer Science 2026-03-13 Mayug Maniparambil , Nils Hoehing , Janak Kapuriya , Arjun Karuvally , Ellen Rushe , Anthony Ventresque , Noel O'Connor , Fergal Reid

Autoformalization is the process of automatically translating from natural language mathematics to formal specifications and proofs. A successful autoformalization system could advance the fields of formal verification, program synthesis,…

Machine Learning · Computer Science 2022-05-26 Yuhuai Wu , Albert Q. Jiang , Wenda Li , Markus N. Rabe , Charles Staats , Mateja Jamnik , Christian Szegedy

Large Language Models (LLMs) have demonstrated impressive capabilities in structured reasoning and symbolic tasks, with coding emerging as a particularly successful application. This progress has naturally motivated efforts to extend these…

Artificial Intelligence · Computer Science 2026-02-02 Andrea Asperti , Alberto Naibo , Claudio Sacerdoti Coen

Large language models (LLMs) that are tuned with instructions have demonstrated remarkable capabilities in various tasks and languages. However, their ability to generalize to underrepresented languages is limited due to the scarcity of…

Computation and Language · Computer Science 2023-10-25 Samuel Cahyawijaya , Holy Lovenia , Tiezheng Yu , Willy Chung , Pascale Fung

Large Language Models (LLMs) have rapidly transformed the landscape of artificial intelligence, enabling natural language interfaces and dynamic orchestration of software components. However, their reliance on probabilistic inference limits…

Machine Learning · Computer Science 2025-07-01 Claudionor Coelho , Yanen Li , Philip Tee

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

Mathematical reasoning demands two critical, complementary skills: constructing rigorous proofs for true statements and discovering counterexamples that disprove false ones. However, current AI efforts in mathematics focus almost…

Artificial Intelligence · Computer Science 2026-03-23 Zenan Li , Zhaoyu Li , Kaiyu Yang , Xiaoxing Ma , Zhendong Su

Verifiable formal languages like Lean have profoundly impacted mathematical reasoning, particularly through the use of large language models (LLMs) for automated reasoning. A significant challenge in training LLMs for these formal languages…

Computation and Language · Computer Science 2025-02-28 Guoxiong Gao , Yutong Wang , Jiedong Jiang , Qi Gao , Zihan Qin , Tianyi Xu , Bin Dong

Automating the translation of natural language to first-order logic (FOL) is crucial for knowledge representation and formal methods, yet remains challenging. We present a systematic evaluation of fine-tuned LLMs for this task, comparing…

Computation and Language · Computer Science 2025-12-02 Felix Vossel , Till Mossakowski , Björn Gehrke