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The formalization of existing mathematical proofs is a notoriously difficult process. Despite decades of research on automation and proof assistants, writing formal proofs remains arduous and only accessible to a few experts. While previous…

Artificial Intelligence · Computer Science 2023-02-21 Albert Q. Jiang , Sean Welleck , Jin Peng Zhou , Wenda Li , Jiacheng Liu , Mateja Jamnik , Timothée Lacroix , Yuhuai Wu , Guillaume Lample

We study the formalization of a collection of documents created for a Software Engineering project from an MKM perspective. We analyze how document and collection markup formats can cope with an open-ended, multi-dimensional space of…

Digital Libraries · Computer Science 2010-04-29 Andrea Kohlhase , Michael Kohlhase , Christoph Lange

Computational reductions are an important and powerful concept in computer science. However, they are difficult for many students to grasp. In this paper, we outline a concept for how the learning of reductions can be supported by…

Computers and Society · Computer Science 2024-10-07 Tristan Kneisel , Elias Radtke , Marko Schmellenkamp , Fabian Vehlken , Thomas Zeume

For several years, students visit us on different occasions at the university. But how to bridge from the school curriculum to the contents of the university mathematics? And how to find a focal point at which an active contribute, despite…

Optimization and Control · Mathematics 2016-03-26 Miriam Kießling , Sascha Kurz , Tobias Kreisel , Jörg Rambau , Konra Schade , Cornelius Schwarz

Despite the vast body of research literature proposing algorithms with formal guarantees, the amount of verifiable code in today's systems remains minimal. This discrepancy stems from the inherent difficulty of verifying code, particularly…

Software Engineering · Computer Science 2025-01-10 Changjie Wang , Mariano Scazzariello , Marco Chiesa

End-user informatics applications are Internet data web management automation solutions. These are mass modeling and mass management collaborative communal consensus solutions. They are made and maintained by managerial, professional,…

Other Computer Science · Computer Science 2007-10-18 George A. Maney

Knowledge editing (KE) aims to efficiently and precisely modify the behavior of large language models (LLMs) to update specific knowledge without negatively influencing other knowledge. Current research primarily focuses on white-box LLMs…

Computation and Language · Computer Science 2024-02-20 Xiaoshuai Song , Zhengyang Wang , Keqing He , Guanting Dong , Yutao Mou , Jinxu Zhao , Weiran Xu

Mathematical reasoning is regarded as a necessary ability for Language Models (LMs). Recent works demonstrate large LMs' impressive performance in solving math problems. The success is attributed to their Chain-of-Thought (CoT) reasoning…

Computation and Language · Computer Science 2023-06-08 Tianduo Wang , Wei Lu

Knowledge tagging for questions plays a crucial role in contemporary intelligent educational applications, including learning progress diagnosis, practice question recommendations, and course content organization. Traditionally, these…

Computation and Language · Computer Science 2024-06-21 Hang Li , Tianlong Xu , Jiliang Tang , Qingsong Wen

The formal analysis of automated systems is an important and growing industry. This activity routinely requires new verification frameworks to be developed to tackle new programming features, or new considerations (bugs of interest). Often,…

Logic in Computer Science · Computer Science 2026-02-17 Paul Brunet

In scenarios where language models must incorporate new information efficiently without extensive retraining, traditional fine-tuning methods are prone to overfitting, degraded generalization, and unnatural language generation. To address…

Computation and Language · Computer Science 2025-04-01 Siyuan Qi , Bangcheng Yang , Kailin Jiang , Xiaobo Wang , Jiaqi Li , Yifan Zhong , Yaodong Yang , Zilong Zheng

Logical rules are a popular knowledge representation language in many domains, representing background knowledge and encoding information that can be derived from given facts in a compact form. However, rule formulation is a complex process…

Artificial Intelligence · Computer Science 2020-02-13 Cristina Cornelio , Veronika Thost

Autoformalization, the process of transforming informal mathematical language into formal specifications and proofs remains a difficult task for state-of-the-art (large) language models. Existing works point to competing explanations for…

Artificial Intelligence · Computer Science 2025-02-25 Willy Chan , Michael Souliman , Jakob Nordhagen , Brando Miranda , Elyas Obbad , Kai Fronsdal Sanmi Koyejo

Isabelle/jEdit is the main application of the Prover IDE (PIDE) framework and the default user-interface of Isabelle, but it is not limited to theorem proving. This paper explores possibilities to use it as a general IDE for formal…

Human-Computer Interaction · Computer Science 2018-12-02 Makarius Wenzel

Large Language Models (LLMs) usually suffer from knowledge cutoff or fallacy issues, which means they are unaware of unseen events or generate text with incorrect facts owing to outdated/noisy data. To this end, many knowledge editing…

The search for information on the web is faced with several problems, which arise on the one hand from the vast number of available sources, and on the other hand from their heterogeneity. A promising approach is the use of multi-agent…

Multiagent Systems · Computer Science 2007-05-23 T. Eiter , M. Fink , G. Sabbatini , H. Tompits

Mathematical reasoning is essential for problem-solving in education, science, and industry, serving as a crucial benchmark for evaluating artificial intelligence systems. As Large Language Models (LLMs) improve their reasoning…

Computation and Language · Computer Science 2026-05-20 Husnain Amjad , Raja Khurram Shahzad , Aamir Shahzad , Mehwish Fatima

One of the biggest bottlenecks in building accurate, high coverage neural open IE systems is the need for large labelled corpora. The diversity of open domain corpora and the variety of natural language expressions further exacerbate this…

Computation and Language · Computer Science 2021-03-08 Jialong Tang , Yaojie Lu , Hongyu Lin , Xianpei Han , Le Sun , Xinyan Xiao , Hua Wu

In this vision paper, we explore the challenges and opportunities of a form of computation that employs an empirical (rather than a formal) approach, where the solution of a computational problem is returned as empirically most likely…

Software Engineering · Computer Science 2025-03-17 Eric Tang , Marcel Böhme

While recent advances in AI-based automated decision-making have shown many benefits for businesses and society, they also come at a cost. It has for long been known that a high level of automation of decisions can lead to various…

Human-Computer Interaction · Computer Science 2021-09-29 Max Schemmer , Niklas Kühl , Gerhard Satzger