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Theorem proving is fundamental to program verification, where the automated proof of Verification Conditions (VCs) remains a primary bottleneck. Real-world program verification frequently encounters hard VCs that existing Automated Theorem…

人工智能 · 计算机科学 2026-01-29 Qiyuan Xu , Xiaokun Luan , Renxi Wang , Joshua Ong Jun Leang , Peixin Wang , Haonan Li , Wenda Li , Conrad Watt

Large Language Models (LLMs) have demonstrated significant promise in formal theorem proving. In this study, we investigate the ability of LLMs to discover novel theorems and produce verified proofs. We propose a pipeline called…

机器学习 · 计算机科学 2026-05-07 Kazumi Kasaura , Naoto Onda , Yuta Oriike , Masaya Taniguchi , Akiyoshi Sannai , Sho Sonoda

Recent large language models support inputs of up to 10 million tokens, yet they perform poorly on long-context tasks that require complex reasoning. Such tasks can be solved using only a subset of the input -- a proxy context -- rather…

计算与语言 · 计算机科学 2026-05-25 Miao Li , Irina Saparina , Alexander Gurung , Mirella Lapata

As one of the prevalent topic mining tools, neural topic modeling has attracted a lot of interests for the advantages of high efficiency in training and strong generalisation abilities. However, due to the lack of context in each short…

信息检索 · 计算机科学 2020-08-12 Jiachun Feng , Zusheng Zhang , Cheng Ding , Yanghui Rao , Haoran Xie

Neural models combining representation learning and reasoning in an end-to-end trainable manner are receiving increasing interest. However, their use is severely limited by their computational complexity, which renders them unusable on real…

人工智能 · 计算机科学 2018-07-24 Pasquale Minervini , Matko Bosnjak , Tim Rocktäschel , Sebastian Riedel

Attempts to render deep learning models interpretable, data-efficient, and robust have seen some success through hybridisation with rule-based systems, for example, in Neural Theorem Provers (NTPs). These neuro-symbolic models can induce…

人工智能 · 计算机科学 2020-08-25 Pasquale Minervini , Sebastian Riedel , Pontus Stenetorp , Edward Grefenstette , Tim Rocktäschel

Neural symbolic processing aims to combine the generalization of logical learning approaches and the performance of neural networks. The Neural Theorem Proving (NTP) model by Rocktaschel et al (2017) learns embeddings for concepts and…

机器学习 · 计算机科学 2019-06-18 Michiel de Jong , Fei Sha

Test-Time Training (TTT) models context dependencies by adapting part of the model's weights (referred to as fast weights) during inference. This fast weight, akin to recurrent states in RNNs, stores temporary memories of past tokens in the…

Solving mathematical problems using computer-verifiable languages like Lean has significantly impacted the mathematical and computer science communities. State-of-the-art methods utilize a single Large Language Model (LLM) to generate…

计算与语言 · 计算机科学 2025-05-28 Ruida Wang , Rui Pan , Yuxin Li , Jipeng Zhang , Yizhen Jia , Shizhe Diao , Renjie Pi , Junjie Hu , Tong Zhang

We study how large language models (LLMs) reason about memorized knowledge through simple binary relations such as equality ($=$), inequality ($<$), and inclusion ($\subset$). Unlike in-context reasoning, the axioms (e.g., $a < b, b < c$)…

机器学习 · 计算机科学 2025-09-18 Jonathan Shaki , Emanuele La Malfa , Michael Wooldridge , Sarit Kraus

Long short-term memory(LSTM) units on sequence-based models are being used in translation, question-answering systems, classification tasks due to their capability of learning long-term dependencies. In Natural language generation, LSTM…

计算与语言 · 计算机科学 2020-05-04 Sivasurya Santhanam

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…

人工智能 · 计算机科学 2025-10-02 Balaji Rao , William Eiers , Carlo Lipizzi

Human mathematicians are often good at recognizing modular and reusable theorems that make complex mathematical results within reach. In this paper, we propose a novel method called theoREm-from-prooF extrACTOR (REFACTOR) for training…

人工智能 · 计算机科学 2024-02-28 Jin Peng Zhou , Yuhuai Wu , Qiyang Li , Roger Grosse

Theorem proving serves as a major testbed for evaluating complex reasoning abilities in large language models (LLMs). However, traditional automated theorem proving (ATP) approaches rely heavily on formal proof systems that poorly align…

We show that the MinMax algebra provides a form of recurrence that is expressively powerful, efficiently implementable, and most importantly it is not affected by vanishing or exploding gradient. We call MinMax Recurrent Neural Cascades…

机器学习 · 计算机科学 2026-05-11 Alessandro Ronca

Theorem proving in natural mathematical language - the mixture of symbolic and natural language used by humans - plays a central role in mathematical advances and education, and tests aspects of reasoning that are core to intelligence. Yet…

计算与语言 · 计算机科学 2022-11-02 Sean Welleck , Jiacheng Liu , Ximing Lu , Hannaneh Hajishirzi , Yejin Choi

To address computational and memory limitations of Large Multimodal Models in the Video Question-Answering task, several recent methods extract textual representations per frame (e.g., by captioning) and feed them to a Large Language Model…

计算机视觉与模式识别 · 计算机科学 2025-04-08 Andreas Goulas , Vasileios Mezaris , Ioannis Patras

Recent advancements in explainable machine learning provide effective and faithful solutions for interpreting model behaviors. However, many explanation methods encounter efficiency issues, which largely limit their deployments in practical…

机器学习 · 计算机科学 2023-03-07 Yu-Neng Chuang , Guanchu Wang , Fan Yang , Quan Zhou , Pushkar Tripathi , Xuanting Cai , Xia Hu

Natural Language Inference (NLI) models have been used in various ways to improve the factuality of LLM outputs. This is typically done by applying an NLI model to judge whether the model output is entailed from the supposed evidence,…

计算与语言 · 计算机科学 2025-11-04 Sapir Harary , Eran Hirsch , Aviv Slobodkin , David Wan , Mohit Bansal , Ido Dagan

Large language models (LLMs) with extended context windows have made significant strides yet remain a challenge due to the scarcity of long documents. Existing methods tend to synthesize long-context data but lack a clear mechanism to…

计算与语言 · 计算机科学 2025-05-27 Chaochen Gao , Xing Wu , Zijia Lin , Debing Zhang , Songlin Hu
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