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Large Language Models (LLMs) have succeeded remarkably in various natural language processing (NLP) tasks, yet their reasoning capabilities remain a fundamental challenge. While LLMs exhibit impressive fluency and factual recall, their…

Computation and Language · Computer Science 2025-05-29 Avinash Patil , Aryan Jadon

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

Prompting language models to provide step-by-step answers (e.g., "Chain-of-Thought") is the prominent approach for complex reasoning tasks, where more accurate reasoning chains typically improve downstream task performance. Recent…

Computation and Language · Computer Science 2024-05-22 Alon Jacovi , Yonatan Bitton , Bernd Bohnet , Jonathan Herzig , Or Honovich , Michael Tseng , Michael Collins , Roee Aharoni , Mor Geva

SystemVerilog Assertions (SVAs) play a critical role in detecting and debugging functional bugs in digital chip design. However, generating SVAs has traditionally been a manual, labor-intensive, and error-prone process. Recent advances in…

Hardware Architecture · Computer Science 2025-05-16 Fenghua Wu , Evan Pan , Rahul Kande , Michael Quinn , Aakash Tyagi , David Kebo Houngninou , Jeyavijayan Rajendran , Jiang Hu

As large language models (LLMs) are increasingly applied to scientific reasoning, the complexity of answer formats and the diversity of equivalent expressions make answer verification a critical yet challenging task. Existing verification…

Artificial Intelligence · Computer Science 2025-09-30 Shenghe Zheng , Chenyu Huang , Fangchen Yu , Junchi Yao , Jingqi Ye , Tao Chen , Yun Luo , Ning Ding , LEI BAI , Ganqu Cui , Peng Ye

Large language models (LLMs) have recently demonstrated impressive performance on complex, multi-step reasoning tasks, especially when post-trained with outcome-rewarded reinforcement learning Guo et al. 2025. However, it has been observed…

Artificial Intelligence · Computer Science 2026-04-01 Luoxin Chen , Yichi Zhou , Huishuai Zhang

Formalizing mathematical proofs using computerized verification languages like Lean 4 has the potential to significantly impact the field of mathematics, it offers prominent capabilities for advancing mathematical reasoning. However,…

Computation and Language · Computer Science 2024-11-11 Xichen Tang

Large language models (LLMs) are a promising venue for natural language understanding and generation tasks. However, current LLMs are far from reliable: they are prone to generate non-factual information and, more crucially, to contradict…

Machine Learning · Computer Science 2024-04-22 Diego Calanzone , Stefano Teso , Antonio Vergari

Verifying mathematical proofs is difficult, but can be automated with the assistance of a computer. Autoformalization is the task of automatically translating natural language mathematics into a formal language that can be verified by a…

Computation and Language · Computer Science 2024-07-11 Nilay Patel , Rahul Saha , Jeffrey Flanigan

Large language models have made significant progress in mathematical reasoning, which serves as an important testbed for AI and could impact scientific research if further advanced. By scaling reasoning with reinforcement learning that…

Artificial Intelligence · Computer Science 2025-12-01 Zhihong Shao , Yuxiang Luo , Chengda Lu , Z. Z. Ren , Jiewen Hu , Tian Ye , Zhibin Gou , Shirong Ma , Xiaokang Zhang

The reasoning capabilities of large language models (LLMs) have been significantly improved through reinforcement learning (RL). Nevertheless, LLMs still struggle to consistently verify their own reasoning traces. This raises the research…

Machine Learning · Computer Science 2025-11-20 Xiaoxuan Wang , Bo Liu , Song Jiang , Jingzhou Liu , Jingyuan Qi , Xia Chen , Baosheng He

Large language models (LLMs) show their powerful automatic reasoning and planning capability with a wealth of semantic knowledge about the human world. However, the grounding problem still hinders the applications of LLMs in the real-world…

Computation and Language · Computer Science 2023-09-06 Shaohui Peng , Xing Hu , Qi Yi , Rui Zhang , Jiaming Guo , Di Huang , Zikang Tian , Ruizhi Chen , Zidong Du , Qi Guo , Yunji Chen , Ling Li

Existing informal language-based (e.g., human language) Large Language Models (LLMs) trained with Reinforcement Learning (RL) face a significant challenge: their verification processes, which provide crucial training signals, are neither…

Computation and Language · Computer Science 2025-10-14 Chuanhao Yan , Fengdi Che , Xuhan Huang , Xu Xu , Xin Li , Yizhi Li , Xingwei Qu , Jingzhe Shi , Chenghua Lin , Yaodong Yang , Binhang Yuan , Hang Zhao , Yu Qiao , Bowen Zhou , Jie Fu

Automated verification tools based on SMT solvers have made significant progress in verifying complex software systems. However, these tools face a fundamental tension between automation and performance when dealing with quantifier…

Software Engineering · Computer Science 2025-12-04 Alexander Y. Bai , Chris Hawblitzel , Andrea Lattuada

Machine learning systems regularly deal with structured data in real-world applications. Unfortunately, such data has been difficult to faithfully represent in a way that most machine learning techniques would expect, i.e. as a real-valued…

Large language models demonstrate remarkable reasoning capabilities but often produce unreliable or incorrect responses. Existing verification methods are typically model-specific or domain-restricted, requiring significant computational…

Computation and Language · Computer Science 2025-08-22 Jiuzhou Han , Wray Buntine , Ehsan Shareghi

Software testing remains critical for ensuring reliability, yet traditional approaches are slow, costly, and prone to gaps in coverage. This paper presents an AI-driven framework that automates test case generation and validation using…

Software Engineering · Computer Science 2025-08-25 Saba Naqvi , Mohammad Baqar

Semantic consistency of a language model is broadly defined as the model's ability to produce semantically-equivalent outputs, given semantically-equivalent inputs. We address the task of assessing question-answering (QA) semantic…

Computation and Language · Computer Science 2023-11-03 Ella Rabinovich , Samuel Ackerman , Orna Raz , Eitan Farchi , Ateret Anaby-Tavor

Although LLMs have shown great performance on Mathematics and Coding related reasoning tasks, the reasoning capabilities of LLMs regarding other forms of reasoning are still an open problem. Here, we examine the issue of reasoning from the…

Computation and Language · Computer Science 2025-06-18 John Dougrez-Lewis , Mahmud Elahi Akhter , Federico Ruggeri , Sebastian Löbbers , Yulan He , Maria Liakata

Formal mathematical reasoning remains a critical challenge for artificial intelligence, hindered by limitations of existing benchmarks in scope and scale. To address this, we present FormalMATH, a large-scale Lean4 benchmark comprising…

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