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Large language models (LLMs) have demonstrated their remarkable performance across various language understanding tasks. While emerging benchmarks have been proposed to evaluate LLMs in various domains such as mathematics and computer…

Artificial Intelligence · Computer Science 2024-10-28 Junnan Dong , Zijin Hong , Yuanchen Bei , Feiran Huang , Xinrun Wang , Xiao Huang

As frontier Large Language Models (LLMs) increasingly saturate new benchmarks shortly after they are published, benchmarking itself is at a juncture: if frontier models keep improving, it will become increasingly hard for humans to generate…

As large language models (LLMs) excel at code reasoning, a natural question arises: can an LLM execute programs (i.e., act as an interpreter) purely based on a programming language's formal semantics? If so, it will enable rapid prototyping…

Programming Languages · Computer Science 2025-10-08 Aditya Thimmaiah , Jiyang Zhang , Jayanth Srinivasa , Junyi Jessy Li , Milos Gligoric

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

Large Language Models (LLMs) have recently emerged as powerful tools for autoformalization. Despite their impressive performance, these models can still struggle to produce grounded and verifiable formalizations. Recent work in text-to-SQL,…

Computation and Language · Computer Science 2025-12-05 Hayden Moore , Asfahan Shah

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

Recent advances in large language models (LLMs) for mathematical reasoning have largely focused on tasks with easily verifiable final answers while generating and verifying natural language math proofs remains an open challenge. We identify…

Computation and Language · Computer Science 2026-03-03 Wenjie Ma , Andrei Cojocaru , Neel Kolhe , Bradley Louie , Robin Said Sharif , Haihan Zhang , Vincent Zhuang , Matei Zaharia , Sewon Min

As automated reasoning systems advance rapidly, there is a growing need for research-level formal mathematical problems to accurately evaluate their capabilities. To address this, we present Formal Conjectures, an evolving benchmark of…

This paper considers the development of an AI-based provably-correct mathematical proof tutor. While Large Language Models (LLMs) allow seamless communication in natural language, they are error prone. Theorem provers such as Lean allow for…

Machine Learning · Computer Science 2026-03-05 Manooshree Patel , Rayna Bhattacharyya , Thomas Lu , Arnav Mehta , Niels Voss , Narges Norouzi , Gireeja Ranade

This paper considers the development of an AI-based provably-correct mathematical proof tutor. While Large Language Models (LLMs) allow seamless communication in natural language, they are error prone. Theorem provers such as Lean allow for…

Artificial Intelligence · Computer Science 2026-03-05 Manooshree Patel , Rayna Bhattacharyya , Thomas Lu , Arnav Mehta , Niels Voss , Narges Norouzi , Gireeja Ranade

Software testing plays a critical role in ensuring that systems behave as intended. However, existing automated testing approaches struggle to match the capabilities of human engineers due to key limitations such as test locality, lack of…

Software Engineering · Computer Science 2025-06-16 Kangping Xu , Yifan Luo , Yang Yuan , Andrew Chi-Chih Yao

Formal verification can provably guarantee the correctness of critical system software, but the high proof burden has long hindered its wide adoption. Recently, Large Language Models (LLMs) have shown success in code analysis and synthesis.…

Formal Languages and Automata Theory · Computer Science 2023-11-27 Jianan Yao , Ziqiao Zhou , Weiteng Chen , Weidong Cui

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

Formal postconditions precisely characterize program behavior and support debugging, testing, and verification, but writing them requires substantial expertise and effort. This has motivated recent work on automatically generating…

Software Engineering · Computer Science 2026-05-06 Gehao Zhang , Juan Zhai

Large language models (LLMs) have been widely adopted across diverse domains of software engineering, such as code generation, program repair, and vulnerability detection. These applications require understanding beyond surface-level code…

Software Engineering · Computer Science 2026-01-21 Danning Xie , Mingwei Zheng , Xuwei Liu , Jiannan Wang , Chengpeng Wang , Lin Tan , Xiangyu Zhang

Software testing is a crucial phase in the software life cycle, helping identify potential risks and reduce maintenance costs. With the advancement of Large Language Models (LLMs), researchers have proposed an increasing number of LLM-based…

Software Engineering · Computer Science 2024-09-27 Quanjun Zhang , Ye Shang , Chunrong Fang , Siqi Gu , Jianyi Zhou , Zhenyu Chen

Understanding how and why large language models (LLMs) fail is becoming a central challenge as models rapidly evolve and static evaluations fall behind. While automated probing has been enabled by dynamic test generation, existing…

Computation and Language · Computer Science 2026-02-16 Yue Huang , Zhengzhe Jiang , Yuchen Ma , Yu Jiang , Xiangqi Wang , Yujun Zhou , Yuexing Hao , Kehan Guo , Pin-Yu Chen , Stefan Feuerriegel , Xiangliang Zhang

We introduce SATBench, a benchmark for evaluating the logical reasoning capabilities of large language models (LLMs) through logical puzzles derived from Boolean satisfiability (SAT) problems. Unlike prior work that focuses on inference…

Artificial Intelligence · Computer Science 2025-09-23 Anjiang Wei , Yuheng Wu , Yingjia Wan , Tarun Suresh , Huanmi Tan , Zhanke Zhou , Sanmi Koyejo , Ke Wang , Alex Aiken

Large Language Models (LLMs) often lack meaningful confidence estimates for their outputs. While base LLMs are known to exhibit next-token calibration, it remains unclear whether they can assess confidence in the actual meaning of their…

Computation and Language · Computer Science 2025-11-10 Preetum Nakkiran , Arwen Bradley , Adam Goliński , Eugene Ndiaye , Michael Kirchhof , Sinead Williamson

Large language models (LLMs) have demonstrated strong performance on function-level code generation benchmarks, yet real-world software development increasingly demands class-level implementations that integrate multiple methods,…

Software Engineering · Computer Science 2025-11-06 Musfiqur Rahman , SayedHassan Khatoonabadi , Emad Shihab