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Autoformalization aims to convert informal mathematical proofs into machine-verifiable formats, bridging the gap between natural and formal languages. However, ensuring semantic alignment between the informal and formalized statements…

Computation and Language · Computer Science 2024-10-15 Jianqiao Lu , Yingjia Wan , Yinya Huang , Jing Xiong , Zhengying Liu , Zhijiang Guo

Solving expert-level multimodal tasks is a key milestone towards general intelligence. As the capabilities of multimodal large language models (MLLMs) continue to improve, evaluation of such advanced multimodal intelligence becomes…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Yan Yang , Dongxu Li , Haoning Wu , Bei Chen , Liu Liu , Liyuan Pan , Junnan Li

Agentic AI systems can now generate code with remarkable fluency, but a fundamental question remains: \emph{does the generated code actually do what the user intended?} The gap between informal natural language requirements and precise…

Software Engineering · Computer Science 2026-03-19 Shuvendu K. Lahiri

Verification is one of the central tasks in circuit and system design. While simulation and emulation are widely used, complete correctness can only be ensured based on formal proof techniques. But these approaches often have very high run…

Logic in Computer Science · Computer Science 2025-05-30 Rolf Drechsler

Existing benchmarks for evaluating mathematical reasoning in large language models (LLMs) rely primarily on competition problems, formal proofs, or artificially challenging questions -- failing to capture the nature of mathematics…

Artificial Intelligence · Computer Science 2025-10-21 Jie Zhang , Cezara Petrui , Kristina Nikolić , Florian Tramèr

Mathematics formalisation is the task of writing mathematics (i.e., definitions, theorem statements, proofs) in natural language, as found in books and papers, into a formal language that can then be checked for correctness by a program. It…

Computation and Language · Computer Science 2022-11-15 Ayush Agrawal , Siddhartha Gadgil , Navin Goyal , Ashvni Narayanan , Anand Tadipatri

Formal theorem proving (FTP) has emerged as a critical foundation for evaluating the reasoning capabilities of large language models, enabling automated verification of mathematical proofs at scale. However, progress has been constrained by…

Logic in Computer Science · Computer Science 2026-05-19 Terry Jingchen Zhang , Wenyuan Jiang , Rongchuan Liu , Yisong Wang , Junran Yang , Ning Wang , Nicole Ni , Yinya Huang , Mrinmaya Sachan

The increased use of large language models (LLMs) across a variety of real-world applications calls for mechanisms to verify the factual accuracy of their outputs. In this work, we present a holistic end-to-end solution for annotating the…

We present Ax-Prover, a multi-agent system for automated theorem proving in Lean that can solve problems across diverse scientific domains and operate either autonomously or collaboratively with human experts. To achieve this, Ax-Prover…

As LLMs advance their reasoning capabilities about the physical world, the absence of rigorous benchmarks for evaluating their ability to generate scientifically valid physical models has become a critical gap. Computational mechanics,…

Machine Learning · Computer Science 2025-12-25 Saeed Mohammadzadeh , Erfan Hamdi , Joel Shor , Emma Lejeune

Formally verifying properties of software code has been a highly desirable task, especially with the emergence of LLM-generated code. In the same vein, they provide an interesting avenue for the exploration of formal verification and…

Artificial Intelligence · Computer Science 2025-10-02 Balaji Rao , William Eiers , Carlo Lipizzi

Translating human-written mathematical theorems and proofs from natural language (NL) into formal languages (FLs) like Lean 4 has long been a significant challenge for AI. Most state-of-the-art methods either focus on theorem-only NL-to-FL…

Logic in Computer Science · Computer Science 2026-03-31 Prithwish Jana , Kaan Kale , Ahmet Ege Tanriverdi , Cruise Song , Sriram Vishwanath , Vijay Ganesh

Large language models (LLMs) have become capable mathematical problem-solvers, often producing correct proofs for challenging problems. However, correctness alone is not sufficient: mathematical proofs should also be clear, concise,…

Computation and Language · Computer Science 2026-05-12 Ivo Petrov , Jasper Dekoninck , Dimitar I. Dimitrov , Martin Vechev

Large Language Models (LLMs) hold significant potential for advancing fact-checking by leveraging their capabilities in reasoning, evidence retrieval, and explanation generation. However, existing benchmarks fail to comprehensively evaluate…

Computation and Language · Computer Science 2025-06-17 Shuo Yang , Yuqin Dai , Guoqing Wang , Xinran Zheng , Jinfeng Xu , Jinze Li , Zhenzhe Ying , Weiqiang Wang , Edith C. H. Ngai

Recent frontier-level LLMs have saturated many previously difficult benchmarks, leaving little room for further differentiation. This progress highlights the need for challenging benchmarks that provide objective verification. In this…

Computation and Language · Computer Science 2025-10-10 Hyeonseok Moon , Seongtae Hong , Jaehyung Seo , Heuiseok Lim

As AI becomes part of everyday learning, many courses teach students to use it mainly as a productivity tool: how to prompt, search, summarize, write, code, and use tools more efficiently. We argue that AI education also needs a setting in…

Artificial Intelligence · Computer Science 2026-05-22 Haiyang Shen , Jiuzheng Wang , Taian Guo , Mugeng Liu , Wenchun Jing , Chongyang Pan , Siqi Zhong , Zhiyang Chen , Weichen Bi , Yudong Han , Xiaoying Bai , Yun Ma

Software correctness is ensured mathematically through formal verification, which involves the resources of generating formal requirement specifications and having an implementation that must be verified. Tools such as model-checkers and…

Software Engineering · Computer Science 2025-08-29 Arshad Beg , Diarmuid O'Donoghue , Rosemary Monahan

Large language models (LLMs) have recently achieved remarkable success in generating rigorous mathematical proofs, with "AI for Math" emerging as a vibrant field of research (Ju et al., 2026). While these models have mastered…

Artificial Intelligence · Computer Science 2026-03-10 Lve Meng , Weilong Zhao , Yanzhi Zhang , Haoxiang Guan , Jiyan He

Large Language Models (LLMs) have demonstrated impressive capabilities in natural language processing tasks, such as text generation and semantic understanding. However, their performance on numerical reasoning tasks, such as basic…

Computation and Language · Computer Science 2025-06-04 Haoyang Li , Xuejia Chen , Zhanchao XU , Darian Li , Nicole Hu , Fei Teng , Yiming Li , Luyu Qiu , Chen Jason Zhang , Qing Li , Lei Chen

We present SorryDB, a dynamically-updating benchmark of open Lean tasks drawn from 78 real world formalization projects on GitHub. Unlike existing static benchmarks, often composed of competition problems, hillclimbing the SorryDB benchmark…

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