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LLMs excel at reasoning, but validating their steps remains challenging. Formal verification offers a solution through mechanically checkable proofs. Interactive theorem provers (ITPs) dominate mathematical reasoning but require detailed…

Machine Learning · Computer Science 2026-02-03 Mantas Baksys , Stefan Zetzsche , Olivier Bouissou , Sean B. Holden

Formal reasoning and automated theorem proving constitute a challenging subfield of machine learning, in which machines are tasked with proving mathematical theorems using formal languages like Lean. A formal verification system can check…

Artificial Intelligence · Computer Science 2025-11-05 Azim Ospanov , Farzan Farnia , Roozbeh Yousefzadeh

An impossibility theorem demonstrates that a particular problem or set of problems cannot be solved as described in the claim. Such theorems put limits on what is possible to do concerning artificial intelligence, especially the…

Artificial Intelligence · Computer Science 2023-06-19 Mario Brcic , Roman V. Yampolskiy

This position paper argues that AI-assisted software engineering requires explicit mechanisms for tracking the epistemic status and temporal validity of architectural decisions. LLM coding assistants generate decisions faster than teams can…

Software Engineering · Computer Science 2026-01-30 Sankalp Gilda , Shlok Gilda

We present StepFun-Prover Preview, a large language model designed for formal theorem proving through tool-integrated reasoning. Using a reinforcement learning pipeline that incorporates tool-based interactions, StepFun-Prover can achieve…

Artificial Intelligence · Computer Science 2025-08-14 Shijie Shang , Ruosi Wan , Yue Peng , Yutong Wu , Xiong-hui Chen , Jie Yan , Xiangyu Zhang

The rapid advancement of large language models (LLMs) has led to significant breakthroughs in automated mathematical reasoning and scientific discovery. Georgiev, G${\'o}$mez-Serrano, Tao, and Wagner [GGSTW+25] demonstrate that AI systems…

Artificial Intelligence · Computer Science 2025-12-17 Yang Cao , Yubin Chen , Xuyang Guo , Zhao Song , Song Yue , Jiahao Zhang , Jiale Zhao

Policy documents, such as legislation, regulations, and executive orders, are crucial in shaping society. However, their length and complexity make interpretation and application challenging and time-consuming. Artificial intelligence (AI),…

Computation and Language · Computer Science 2024-06-12 Mark A. Kramer , Allen Leavens , Alexander Scarlat

Humans are black boxes -- we cannot observe their neural processes, yet society functions by evaluating verifiable arguments. AI explainability should follow this principle: stakeholders need verifiable reasoning chains, not mechanistic…

Machine Learning · Computer Science 2025-10-07 Ege Cakar , Per Ola Kristensson

Many AI applications involve the interaction of multiple autonomous agents, requiring those agents to reason about their own beliefs, as well as those of other agents. However, planning involving nested beliefs is known to be…

Artificial Intelligence · Computer Science 2021-10-07 Christian Muise , Vaishak Belle , Paolo Felli , Sheila McIlraith , Tim Miller , Adrian R. Pearce , Liz Sonenberg

Reasoning models are the new generation of Large Language Models (LLMs) capable of complex problem solving. Their reliability in solving introductory physics problems was tested by evaluating a sample of n = 5 solutions generated by one…

Physics Education · Physics 2025-08-29 Amir Bralin , N. Sanjay Rebello

Large language model-based AI agents are now able to autonomously execute substantial portions of a high energy physics (HEP) analysis pipeline with minimal expert-curated input. Given access to a HEP dataset, an execution framework, and a…

High Energy Physics - Experiment · Physics 2026-04-02 Eric A. Moreno , Samuel Bright-Thonney , Andrzej Novak , Dolores Garcia , Philip Harris

The paper discusses the capacities and limitations of current artificial intelligence (AI) technology to solve word problems that combine elementary knowledge with commonsense reasoning. No existing AI systems can solve these reliably. We…

Artificial Intelligence · Computer Science 2023-01-26 Ernest Davis

In this work we explore the performance and behavior of reasoning large language models to autonomously optimize atomic layer deposition (ALD) processes. In the ALD process optimization task, an agent built on top of a reasoning LLM has to…

Materials Science · Physics 2026-01-16 Angel Yanguas-Gil

In many real-world games, such as traders repeatedly bargaining with customers, it is very hard for a single AI trader to make good deals with various customers in a few turns, since customers may adopt different strategies even the…

Multiagent Systems · Computer Science 2021-05-19 Guangzhao Cheng , Siliang Tang

Large language models (LLMs) have shown promising first-order logic (FOL) reasoning capabilities with applications in various areas. However, their effectiveness in complex mathematical reasoning involving multi-step FOL deductions is still…

Artificial Intelligence · Computer Science 2025-06-23 Chuxue Cao , Mengze Li , Juntao Dai , Jinluan Yang , Zijian Zhao , Shengyu Zhang , Weijie Shi , Chengzhong Liu , Sirui Han , Yike Guo

The main aim of the present paper is to use a proof system for hybrid modal logic to formalize what are called falsebelief tasks in cognitive psychology, thereby investigating the interplay between cognition and logical reasoning about…

Computer Science and Game Theory · Computer Science 2013-10-28 Torben Brauner

Large language models (LLMs) are catalyzing the development of autonomous AI research agents for scientific and engineering discovery. We present FM Agent, a novel and general-purpose multi-agent framework that leverages a synergistic…

Amongst the most common use cases of modern AI is LLM chat with web search enabled. However, no direct evaluations of the quality of web research agents exist that control for the continually-changing web. We introduce Deep Research Bench,…

Artificial Intelligence · Computer Science 2025-06-10 FutureSearch , : , Nikos I. Bosse , Jon Evans , Robert G. Gambee , Daniel Hnyk , Peter Mühlbacher , Lawrence Phillips , Dan Schwarz , Jack Wildman

PDEs are central to scientific and engineering modeling, yet designing accurate numerical solvers typically requires substantial mathematical expertise and manual tuning. Recent neural network-based approaches improve flexibility but often…

Artificial Intelligence · Computer Science 2026-02-20 Jianda Du , Youran Sun , Haizhao Yang

Reasoning-based end-to-end (E2E) autonomous driving has recently emerged as a promising approach to improving the interpretability of driving decisions as it can generate human-readable reasoning together with predicted trajectories. Such…

Artificial Intelligence · Computer Science 2026-05-12 Yunseong Jeon , Namcheol Lee , Yoonsu Lee , Jangwoon Park , Sol Ahn , Jong-Chan Kim , Seongsoo Hong
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