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To what extent can a neural network systematically reason over symbolic facts? Evidence suggests that large pre-trained language models (LMs) acquire some reasoning capacity, but this ability is difficult to control. Recently, it has been…

Computation and Language · Computer Science 2020-11-17 Alon Talmor , Oyvind Tafjord , Peter Clark , Yoav Goldberg , Jonathan Berant

Teaching to improve student models (e.g., knowledge distillation) is an extensively studied methodology in LLMs. However, for humans, teaching improves not only students but also teachers, by fostering more rigorous and clear reasoning as…

Computation and Language · Computer Science 2024-11-26 Xuefei Ning , Zifu Wang , Shiyao Li , Zinan Lin , Peiran Yao , Tianyu Fu , Matthew B. Blaschko , Guohao Dai , Huazhong Yang , Yu Wang

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

LLMs trained in the understanding of programming syntax are now providing effective assistance to developers and are being used in programming education such as in generation of coding problem examples or providing code explanations. A key…

Artificial Intelligence · Computer Science 2024-11-19 Yanggyu Lee , Suchae Jeong , Jihie Kim

Compute scaling for language model (LM) pretraining has outpaced the growth of human-written texts, leading to concerns that data will become the bottleneck to LM scaling. To continue scaling pretraining in this data-constrained regime, we…

Machine Learning · Computer Science 2025-09-30 Yangjun Ruan , Neil Band , Chris J. Maddison , Tatsunori Hashimoto

Large language models (LLMs) have demonstrated strong performance in a wide-range of language tasks without requiring task-specific fine-tuning. However, they remain prone to hallucinations and inconsistencies, and often struggle with…

Computation and Language · Computer Science 2026-03-27 Matt Pauk , Maria Leonor Pacheco

Large language models (LLMs) can already identify patterns and reason effectively, yet their variable accuracy hampers adoption in high-stakes decision-making applications. In this paper, we study this issue from a venture capital…

Artificial Intelligence · Computer Science 2025-10-28 Rick Chen , Joseph Ternasky , Aaron Ontoyin Yin , Xianling Mu , Fuat Alican , Yigit Ihlamur

Large language models (LLMs) often necessitate extensive labeled datasets and training compute to achieve impressive performance across downstream tasks. This paper explores a self-training paradigm, where the LLM autonomously curates its…

Computation and Language · Computer Science 2024-11-13 Wei Jie Yeo , Teddy Ferdinan , Przemyslaw Kazienko , Ranjan Satapathy , Erik Cambria

Large Language Models (LLMs) solely trained on next-token prediction learn to solve a wide range of problems involving mathematical reasoning. But how does this ability evolve during training? We show the first analysis of how mathematical…

Artificial Intelligence · Computer Science 2025-12-15 Shubhra Mishra , Gabriel Poesia , Noah D. Goodman

We introduce a theorem proving algorithm that uses practically no domain heuristics for guiding its connection-style proof search. Instead, it runs many Monte-Carlo simulations guided by reinforcement learning from previous proof attempts.…

Artificial Intelligence · Computer Science 2018-05-22 Cezary Kaliszyk , Josef Urban , Henryk Michalewski , Mirek Olšák

The integration of large language models (LLMs) and search engines represents a significant evolution in knowledge acquisition methodologies. However, determining the knowledge that an LLM already possesses and the knowledge that requires…

Computation and Language · Computer Science 2024-05-31 Jiejun Tan , Zhicheng Dou , Yutao Zhu , Peidong Guo , Kun Fang , Ji-Rong Wen

Instruction tuning has emerged as a critical paradigm for improving the capabilities and alignment of large language models (LLMs). However, existing iterative model-aware data selection methods incur significant computational overhead, as…

Machine Learning · Computer Science 2025-05-13 Xiaotian Lin , Yanlin Qi , Yizhang Zhu , Themis Palpanas , Chengliang Chai , Nan Tang , Yuyu Luo

In this paper, we study a simple and generic framework to tackle the problem of learning model parameters when a fraction of the training samples are corrupted. We first make a simple observation: in a variety of such settings, the…

Machine Learning · Computer Science 2019-02-20 Yanyao Shen , Sujay Sanghavi

Fine-tuning large language models (LLMs) is intended to improve their reasoning capabilities, yet we uncover a counterintuitive effect: models often forget how to solve problems they previously answered correctly during training. We term…

Artificial Intelligence · Computer Science 2025-05-27 Yuetai Li , Zhangchen Xu , Fengqing Jiang , Bhaskar Ramasubramanian , Luyao Niu , Bill Yuchen Lin , Xiang Yue , Radha Poovendran

While traditional machine learning can effectively tackle a wide range of problems, it primarily operates within a closed-world setting, which presents limitations when dealing with streaming data. As a solution, incremental learning…

Machine Learning · Computer Science 2025-03-11 Hai-Long Sun , Da-Wei Zhou , De-Chuan Zhan , Han-Jia Ye

A key challenge in automated formal reasoning is the intractable search space, which grows exponentially with the depth of the proof. This branching is caused by the large number of candidate proof tactics which can be applied to a given…

Artificial Intelligence · Computer Science 2025-10-29 Sean Lamont , Christian Walder , Amir Dezfouli , Paul Montague , Michael Norrish

We describe an inductive logic programming (ILP) approach called learning from failures. In this approach, an ILP system (the learner) decomposes the learning problem into three separate stages: generate, test, and constrain. In the…

Artificial Intelligence · Computer Science 2020-11-26 Andrew Cropper , Rolf Morel

Knowledge probing assesses to which degree a language model (LM) has successfully learned relational knowledge during pre-training. Probing is an inexpensive way to compare LMs of different sizes and training configurations. However,…

Computation and Language · Computer Science 2024-04-08 Jacek Wiland , Max Ploner , Alan Akbik

As language models accelerate scientific research by automating hypothesis generation and implementation, a new bottleneck emerges: evaluating and filtering hundreds of AI-generated ideas without exhaustive experimentation. We ask whether…

Machine Learning · Computer Science 2026-05-22 Srujan P Mule , Aniketh Garikaparthi , Manasi Patwardhan