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This comprehensive survey examines Lean 4, a state-of-the-art interactive theorem prover and functional programming language. We analyze its architectural design, type system, metaprogramming capabilities, and practical applications in…

Logic in Computer Science · Computer Science 2025-02-03 Xichen Tang

This study empirically validates automated logical specification methods for behavioural models, focusing on their robustness, scalability, and reproducibility. By the systematic reproduction and extension of prior results, we confirm key…

Software Engineering · Computer Science 2025-05-26 Radoslaw Klimek , Jakub Semczyszyn

We introduce LAMPO, a novel paradigm that leverages Large Language Models (LLMs) for solving few-shot multi-class ordinal classification tasks. Unlike conventional methods, which concatenate all demonstration examples with the test instance…

Machine Learning · Computer Science 2024-08-08 Zhen Qin , Junru Wu , Jiaming Shen , Tianqi Liu , Xuanhui Wang

LLMs have demonstrated strong mathematical reasoning abilities by leveraging reinforcement learning with long chain-of-thought, yet they continue to struggle with theorem proving due to the lack of clear supervision signals when solely…

LPTP (Logic Program Theorem Prover) is an interactive natural-deduction-based theorem prover for pure Prolog programs with negation as failure, unification with the occurs check, and a restricted but extensible set of built-in predicates.…

Logic in Computer Science · Computer Science 2026-01-08 Fred Mesnard , Thierry Marianne , Étienne Payet

In the field of large language model (LLM)-based proof generation, despite extensive training on large datasets such as ArXiv, LLMs still exhibit only modest performance on proving tasks of moderate difficulty. We believe that this is…

Learning to optimize (L2O) is an emerging approach that leverages machine learning to develop optimization methods, aiming at reducing the laborious iterations of hand engineering. It automates the design of an optimization method based on…

Optimization and Control · Mathematics 2021-07-05 Tianlong Chen , Xiaohan Chen , Wuyang Chen , Howard Heaton , Jialin Liu , Zhangyang Wang , Wotao Yin

We show that strategies implemented in automatic theorem proving involve an interesting tradeoff between execution speed, proving speedup/computational time and usefulness of information. We advance formal definitions for these concepts by…

Logic in Computer Science · Computer Science 2015-06-16 Santiago Hernández-Orozco , Francisco Hernández-Quiroz , Hector Zenil , Wilfried Sieg

Offline-to-online reinforcement learning (RL), by combining the benefits of offline pretraining and online finetuning, promises enhanced sample efficiency and policy performance. However, existing methods, effective as they are, suffer from…

Machine Learning · Computer Science 2023-05-26 Jianxiong Li , Xiao Hu , Haoran Xu , Jingjing Liu , Xianyuan Zhan , Ya-Qin Zhang

This paper provides an overview of the new features of the finite element library deal.II version 8.1.

This volume contains the proceedings of the Eighteenth International Workshop on the ACL2 Theorem Prover and Its Applications (ACL2-2023), a two-day workshop held at the University of Texas at Austin and online, on November 13-14. These…

Logic in Computer Science · Computer Science 2023-11-15 Alessandro Coglio , Sol Swords

Recent advancements in large language models (LLMs) have enabled a wide range of natural language processing (NLP) tasks to be performed through simple prompt-based interactions. Consequently, several approaches have been proposed to…

Computation and Language · Computer Science 2025-08-14 Artem Chernodub , Aman Saini , Yejin Huh , Vivek Kulkarni , Vipul Raheja

Lead optimization in drug discovery requires efficiently navigating vast chemical space through iterative cycles to enhance molecular properties while preserving structural similarity to the original lead compound. Despite recent advances,…

Machine Learning · Computer Science 2025-09-29 Ziqing Wang , Yibo Wen , William Pattie , Xiao Luo , Weimin Wu , Jerry Yao-Chieh Hu , Abhishek Pandey , Han Liu , Kaize Ding

This paper introduces CLEO, a novel preference elicitation algorithm capable of recommending complex objects in hybrid domains, characterized by both discrete and continuous attributes and constraints defined over them. The algorithm…

Artificial Intelligence · Computer Science 2015-09-01 Paolo Campigotto , Roberto Battiti , Andrea Passerini

While task-specific demonstrations show early success in applying large language models (LLMs) to automate some astronomical research tasks, they only provide incomplete views of all necessary capabilities in solving astronomy problems,…

Instrumentation and Methods for Astrophysics · Physics 2025-10-08 Lucas Carrit Delgado Pinheiro , Ziru Chen , Bruno Caixeta Piazza , Ness Shroff , Yingbin Liang , Yuan-Sen Ting , Huan Sun

Large Language Models (LLMs) have demonstrated their efficacy across a broad spectrum of tasks in healthcare applications. However, often LLMs need to be fine-tuned on task-specific expert annotated data to achieve optimal performance,…

Machine Learning · Computer Science 2024-08-06 Bhawesh Kumar , Jonathan Amar , Eric Yang , Nan Li , Yugang Jia

One of the two basic theorems in [5] on the existence of solutions of PDEs is improved with the use of a group analysis type argument.

General Mathematics · Mathematics 2007-05-23 Elemer E Rosinger

Recent advances in large language models (LLMs) have demonstrated remarkable reasoning capabilities, largely stimulated by Reinforcement Learning with Verifiable Rewards (RLVR). However, existing RL algorithms face a fundamental limitation:…

Computation and Language · Computer Science 2026-05-18 Junnan Liu , Linhao Luo , Thuy-Trang Vu , Gholamreza Haffari

Algorithmic approaches to interpreting machine learning models have proliferated in recent years. We carry out human subject tests that are the first of their kind to isolate the effect of algorithmic explanations on a key aspect of model…

Computation and Language · Computer Science 2020-05-06 Peter Hase , Mohit Bansal

We present LISA, a proof system and proof assistant for constructing proofs in schematic first-order logic and axiomatic set theory. The logical kernel of the system is a proof checker for first-order logic with equality and schematic…

Logic in Computer Science · Computer Science 2025-07-16 Simon Guilloud , Sankalp Gambhir , Viktor Kunčak
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