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We explore the application of transformer-based language models to automated theorem proving. This work is motivated by the possibility that a major limitation of automated theorem provers compared to humans -- the generation of original…

Machine Learning · Computer Science 2020-09-09 Stanislas Polu , Ilya Sutskever

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

Grammar induction has made significant progress in recent years. However, it is not clear how the application of induced grammar could enhance practical performance in downstream tasks. In this work, we introduce an unsupervised grammar…

Computation and Language · Computer Science 2024-10-08 Jushi Kai , Shengyuan Hou , Yusheng Huang , Zhouhan Lin

Investigating the reasoning abilities of transformer models, and discovering new challenging tasks for them, has been a topic of much interest. Recent studies have found these models to be surprisingly strong at performing deductive…

Computation and Language · Computer Science 2021-12-17 Kyle Richardson , Ashish Sabharwal

Recently, a plethora of works have proposed inference-time algorithms (e.g. best-of-n), which incorporate verifiers to assist the generation process. Their quality-efficiency trade-offs have been empirically benchmarked on a variety of…

Computation and Language · Computer Science 2025-06-09 Edoardo Botta , Yuchen Li , Aashay Mehta , Jordan T. Ash , Cyril Zhang , Andrej Risteski

Transformers have been shown to be able to perform deductive reasoning on a logical rulebase containing rules and statements written in English natural language. While the progress is promising, it is currently unclear if these models…

Computation and Language · Computer Science 2022-11-09 Soumya Sanyal , Zeyi Liao , Xiang Ren

We present a system for generating parsers based directly on the metaphor of parsing as deduction. Parsing algorithms can be represented directly as deduction systems, and a single deduction engine can interpret such deduction systems so as…

cmp-lg · Computer Science 2008-02-03 Stuart M. Shieber , Yves Schabes , Fernando C. N. Pereira

Recent models can generate fluent and grammatical synthetic reviews while accurately predicting user ratings. The generated reviews, expressing users' estimated opinions towards related products, are often viewed as natural language…

Computation and Language · Computer Science 2022-09-29 Zhouhang Xie , Sameer Singh , Julian McAuley , Bodhisattwa Prasad Majumder

We present IBR, an Iterative Backward Reasoning model to solve the proof generation tasks on rule-based Question Answering (QA), where models are required to reason over a series of textual rules and facts to find out the related proof path…

Computation and Language · Computer Science 2022-05-25 Hanhao Qu , Yu Cao , Jun Gao , Liang Ding , Ruifeng Xu

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…

Artificial Intelligence · Computer Science 2024-02-28 Jin Peng Zhou , Yuhuai Wu , Qiyang Li , Roger Grosse

We propose a new generative model of sentences that first samples a prototype sentence from the training corpus and then edits it into a new sentence. Compared to traditional models that generate from scratch either left-to-right or by…

Computation and Language · Computer Science 2018-09-10 Kelvin Guu , Tatsunori B. Hashimoto , Yonatan Oren , Percy Liang

Large Language Models (LLMs) enhanced with retrieval -- commonly referred to as Retrieval-Augmented Generation (RAG) -- have demonstrated strong performance in knowledge-intensive tasks. However, RAG pipelines often fail when retrieved…

Computation and Language · Computer Science 2025-11-07 Shiyin Lin

Deductive reasoning is the process of deriving conclusions strictly from the given premises, without relying on external knowledge. We define honesty in this setting as a model's ability to respond only when the conclusion is logically…

Computation and Language · Computer Science 2025-12-01 Jiarui Liu , Kaustubh Dhole , Yingheng Wang , Haoyang Wen , Sarah Zhang , Haitao Mao , Gaotang Li , Neeraj Varshney , Jingguo Liu , Xiaoman Pan

Natural Language Inference is an important task for Natural Language Understanding. It is concerned with classifying the logical relation between two sentences. In this paper, we propose several text generative neural networks for…

Artificial Intelligence · Computer Science 2017-03-28 Janez Starc , Dunja Mladenić

Interactive theorem provers have been used extensively to reason about various software/hardware systems and mathematical theorems. The key challenge when using an interactive prover is finding a suitable sequence of proof steps that will…

Logic in Computer Science · Computer Science 2014-05-15 Thomas Gransden , Neil Walkinshaw , Rajeev Raman

We introduce a novel data generation method for contradiction detection, which leverages the generative power of large language models as well as linguistic rules. Our vision is to provide a condensed corpus of prototypical contradictions,…

Computation and Language · Computer Science 2023-10-24 Maren Pielka , Svetlana Schmidt , Rafet Sifa

Language Generation Models produce words based on the previous context. Although existing methods offer input attributions as explanations for a model's prediction, it is still unclear how prior words affect the model's decision throughout…

Computation and Language · Computer Science 2023-05-23 Javier Ferrando , Gerard I. Gállego , Ioannis Tsiamas , Marta R. Costa-jussà

Sentence Embedding stands as a fundamental task within the realm of Natural Language Processing, finding extensive application in search engines, expert systems, and question-and-answer platforms. With the continuous evolution of large…

Computation and Language · Computer Science 2024-05-16 Bowen Zhang , Kehua Chang , Chunping Li

We focus on a type of linguistic formal reasoning where the goal is to reason over explicit knowledge in the form of natural language facts and rules (Clark et al., 2020). A recent work, named PRover (Saha et al., 2020), performs such…

Computation and Language · Computer Science 2021-06-03 Swarnadeep Saha , Prateek Yadav , Mohit Bansal

Recent advances in large language models have created new opportunities for stylometry, the study of writing styles and authorship. Two challenges, however, remain central: training generative models when no paired data exist, and…

Computation and Language · Computer Science 2025-11-26 Mosab Rezaei , Mina Rajaei Moghadam , Abdul Rahman Shaikh , Hamed Alhoori , Reva Freedman