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Open-domain question answering (QA) is known to involve several underlying knowledge and reasoning challenges, but are models actually learning such knowledge when trained on benchmark tasks? To investigate this, we introduce several new…

Computation and Language · Computer Science 2020-09-03 Kyle Richardson , Ashish Sabharwal

Automated Theorem Proving (ATP) deals with the development of computer programs being able to show that some conjectures (queries) are a logical consequence of a set of axioms (facts and rules). There exists several successful ATPs where…

Computation and Language · Computer Science 2021-09-20 Gabriele Picco , Hoang Thanh Lam , Marco Luca Sbodio , Vanessa Lopez Garcia

Foundational verification allows programmers to build software which has been empirically shown to have high levels of assurance in a variety of important domains. However, the cost of producing foundationally verified software remains…

Programming Languages · Computer Science 2020-06-01 Alex Sanchez-Stern , Yousef Alhessi , Lawrence Saul , Sorin Lerner

First-order logic (FOL) reasoning, which involves sequential deduction, is pivotal for intelligent systems and serves as a valuable task for evaluating reasoning capabilities, particularly in chain-of-thought (CoT) contexts. Existing…

Computation and Language · Computer Science 2025-03-04 Chengwen Qi , Ren Ma , Bowen Li , He Du , Binyuan Hui , Jinwang Wu , Yuanjun Laili , Conghui He

Recently, researchers have been working toward the development of practical general-purpose protocols for verifiable computation. These protocols enable a computationally weak verifier to offload computations to a powerful but untrusted…

Cryptography and Security · Computer Science 2017-02-09 Justin Thaler

Reasoning is a fundamental substrate for solving novel and complex problems. Deliberate efforts in learning and developing frameworks around System 2 reasoning have made great strides, yet problems of sufficient complexity remain largely…

Computation and Language · Computer Science 2024-10-18 Matthew Ho , Vincent Zhu , Xiaoyin Chen , Moksh Jain , Nikolay Malkin , Edwin Zhang

Predicting upcoming events is critical to our ability to interact with our environment. Transformer models, trained on next-word prediction, appear to construct representations of linguistic input that can support diverse downstream tasks.…

Computation and Language · Computer Science 2023-11-10 Eghbal A. Hosseini , Evelina Fedorenko

We introduce Goedel-Prover, an open-source language model that achieves state-of-the-art (as of April 5 2025) performance in automated formal proof generation for mathematical problems. A key challenge in this field is the scarcity of…

Machine Learning · Computer Science 2025-04-22 Yong Lin , Shange Tang , Bohan Lyu , Jiayun Wu , Hongzhou Lin , Kaiyu Yang , Jia Li , Mengzhou Xia , Danqi Chen , Sanjeev Arora , Chi Jin

Data synthesis for training large reasoning models offers a scalable alternative to limited, human-curated datasets, enabling the creation of high-quality data. However, existing approaches face several challenges: (i) indiscriminate…

Artificial Intelligence · Computer Science 2026-05-11 Yongxian Wei , Yilin Zhao , Zixuan Hu , Li Shen , Xinrui Chen , Runxi Cheng , Sinan Du , Hao Yu , Chun Yuan , Dian Li

Legal texts routinely use concepts that are difficult to understand. Lawyers elaborate on the meaning of such concepts by, among other things, carefully investigating how have they been used in past. Finding text snippets that mention a…

Computation and Language · Computer Science 2021-12-15 Jaromir Savelka , Kevin D. Ashley

Artificial intelligence assisted mathematical proof has become a highly focused area nowadays. One key problem in this field is to generate formal mathematical proofs from natural language proofs. Due to historical reasons, the formal proof…

Programming Languages · Computer Science 2024-05-14 Lihan Xie , Zhicheng Hui , Qinxiang Cao

Recent progress in formal theorem proving has benefited from large-scale proof generation and verifier-aware training, but agentic proving is rarely integrated into prover training, appearing only at inference time. We present OProver, a…

Computation and Language · Computer Science 2026-05-19 David Ma , Kaijing Ma , Shawn Guo , Yunfeng Shi , Enduo Zhao , Jiajun Shi , Zhaoxiang Zhang , Gavin Cheung , Jiaheng Liu , Zili Wang

Recent advances such as DeepSeek R1-Zero highlight the effectiveness of incentive training, a reinforcement learning paradigm that computes rewards solely based on the final answer part of a language model's output, thereby encouraging the…

Computation and Language · Computer Science 2025-09-04 Wei Liu , Siya Qi , Xinyu Wang , Chen Qian , Yali Du , Yulan He

Transformer-based Neural Language Models achieve state-of-the-art performance on various natural language processing tasks. However, an open question is the extent to which these models rely on word-order/syntactic or word…

Computation and Language · Computer Science 2024-03-05 Vasudevan Nedumpozhimana , John D. Kelleher

A major challenge in applying machine learning to automated theorem proving is the scarcity of training data, which is a key ingredient in training successful deep learning models. To tackle this problem, we propose an approach that relies…

Artificial Intelligence · Computer Science 2021-04-08 Vlad Firoiu , Eser Aygun , Ankit Anand , Zafarali Ahmed , Xavier Glorot , Laurent Orseau , Lei Zhang , Doina Precup , Shibl Mourad

OnlineProver is an interactive proof assistant tailored for the educational setting. Its main features include a user-friendly interface for editing and checking proofs. The user interface provides feedback directly within the derivation,…

Circuit representations are becoming the lingua franca to express and reason about tractable generative and discriminative models. In this paper, we show how complex inference scenarios for these models that commonly arise in machine…

Machine Learning · Statistics 2021-02-12 Antonio Vergari , YooJung Choi , Anji Liu , Stefano Teso , Guy Van den Broeck

Rule-based models are attractive for various tasks because they inherently lead to interpretable and explainable decisions and can easily incorporate prior knowledge. However, such systems are difficult to apply to problems involving…

Computation and Language · Computer Science 2019-06-17 Leon Weber , Pasquale Minervini , Jannes Münchmeyer , Ulf Leser , Tim Rocktäschel

In recent years numerous methods have been developed to formally verify the robustness of deep neural networks (DNNs). Though the proposed techniques are effective in providing mathematical guarantees about the DNNs behavior, it is not…

Machine Learning · Computer Science 2023-02-01 Debangshu Banerjee , Avaljot Singh , Gagandeep Singh

Due to its effectiveness and performance, the Transformer translation model has attracted wide attention, most recently in terms of probing-based approaches. Previous work focuses on using or probing source linguistic features in the…

Computation and Language · Computer Science 2021-04-21 Hongfei Xu , Josef van Genabith , Qiuhui Liu , Deyi Xiong
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