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We develop Stratified Shortest Solution Imitation Learning (3SIL) to learn equational theorem proving in a deep reinforcement learning (RL) setting. The self-trained models achieve state-of-the-art performance in proving problems generated…

Machine Learning · Computer Science 2021-02-11 Jelle Piepenbrock , Tom Heskes , Mikoláš Janota , Josef Urban

This paper presents a novel Automatic Essay Scoring (AES) algorithm tailored for the Portuguese-language essays of Brazil's Exame Nacional do Ensino M\'edio (ENEM), addressing the challenges in traditional human grading systems. Our…

Computation and Language · Computer Science 2024-01-02 Felipe Akio Matsuoka

The unification algorithm has long been a target for program synthesis research, but a fully automatic derivation remains a research goal. In deductive program synthesis, computer programming is phrased as a task in theorem proving; a…

Logic in Computer Science · Computer Science 2025-09-16 Richard Waldinger

In recent years, the interest in using proof assistants to formalise and reason about mathematics and programming languages has grown. Type-logical grammars, being closely related to type theories and systems used in functional programming,…

Logic in Computer Science · Computer Science 2017-09-06 Wen Kokke

We propose a system that finds the strongest supporting evidence for a given answer to a question, using passage-based question-answering (QA) as a testbed. We train evidence agents to select the passage sentences that most convince a…

Computation and Language · Computer Science 2019-09-16 Ethan Perez , Siddharth Karamcheti , Rob Fergus , Jason Weston , Douwe Kiela , Kyunghyun Cho

This essay examines how what is considered to be artificial intelligence (AI) has changed over time and come to intersect with the expertise of the author. Initially, AI developed on a separate trajectory, both topically and…

Artificial Intelligence · Computer Science 2018-04-02 Kush R. Varshney

Entity summarization aims at creating brief but informative descriptions of entities from knowledge graphs. While previous work mostly focused on traditional techniques such as clustering algorithms and graph models, we ask how to apply…

Computation and Language · Computer Science 2020-05-27 Dongjun Wei , Yaxin Liu , Fuqing Zhu , Liangjun Zang , Wei Zhou , Jizhong Han , Songlin Hu

In the words of the esteemed mathematician Paul Erd\"os, the mathematician's task is to \emph{prove and conjecture}. These two processes form the bedrock of all mathematical endeavours, and in the recent years, the mathematical community…

Combinatorics · Mathematics 2023-07-18 Randy Davila

Event argument extraction (EAE) is an important task for information extraction to discover specific argument roles. In this study, we cast EAE as a question-based cloze task and empirically analyze fixed discrete token template…

Computation and Language · Computer Science 2023-01-26 Hongbin Ye , Ningyu Zhang , Zhen Bi , Shumin Deng , Chuanqi Tan , Hui Chen , Fei Huang , Huajun Chen

We present the Theorem Prover Museum, and initiative to conserve -- and make publicly available -- the sources and source-related artefacts of automated reasoning systems. Theorem provers have been at the forefront of Artificial…

Logic in Computer Science · Computer Science 2019-04-24 Michael Kohlhase

Development of formal proofs of correctness of programs can increase actual and perceived reliability and facilitate better understanding of program specifications and their underlying assumptions. Tools supporting such development have…

Logic in Computer Science · Computer Science 2020-03-17 Talia Ringer , Karl Palmskog , Ilya Sergey , Milos Gligoric , Zachary Tatlock

The following is an exposition of a course of algebra that Prof. Aleksandr Aleksandrovich Zykov (1922-2013) distributed among the participants of his seminar in graph theory not far away from Odessa, Ukraine, on September, 1991. It is a…

History and Overview · Mathematics 2025-05-27 Carlos E. Frasser

The introduction of automated deduction systems in secondary schools face several bottlenecks. Beyond the problems related with the curricula and the teachers, the dissonance between the outcomes of the geometry automated theorem provers…

Artificial Intelligence · Computer Science 2023-03-13 Joana Teles , Vanda Santos , Pedro Quaresma

Automated writing evaluation (AWE) has been shown to be an effective mechanism for quickly providing feedback to students. It has already seen wide adoption in enterprise-scale applications and is starting to be adopted in large-scale…

Computation and Language · Computer Science 2014-12-19 Nicholas Dronen , Peter W. Foltz , Kyle Habermehl

We present a prototype of an integrated reasoning environment for educational purposes. The presented tool is a fragment of a proof assistant and automated theorem prover. We describe the existing and planned functionality of the theorem…

Human-Computer Interaction · Computer Science 2018-03-06 Mario Frank , Christoph Kreitz

Given the large number of publications in software engineering, frequent literature reviews are required to keep current on work in specific areas. One tedious work in literature reviews is to find relevant studies amongst thousands of…

Software Engineering · Computer Science 2022-04-11 Zhe Yu , Jeffrey C. Carver , Gregg Rothermel , Tim Menzies

Background: This invited paper is the result of an invitation to write a retrospective article on a "TSE most influential paper" as part of the journal's 50th anniversary. Objective: To reflect on the progress of software engineering…

Software Engineering · Computer Science 2025-01-31 Martin Shepperd

The formalization of existing mathematical proofs is a notoriously difficult process. Despite decades of research on automation and proof assistants, writing formal proofs remains arduous and only accessible to a few experts. While previous…

Artificial Intelligence · Computer Science 2023-02-21 Albert Q. Jiang , Sean Welleck , Jin Peng Zhou , Wenda Li , Jiacheng Liu , Mateja Jamnik , Timothée Lacroix , Yuhuai Wu , Guillaume Lample

Automatic verification deals with the validation by means of computers of correctness certificates. The related tools, usually called proof assistants or interactive provers, provide an interactive environment for the creation of formal…

Logic in Computer Science · Computer Science 2017-01-16 Andrea Asperti

Estimation-of-distribution algorithms (EDAs) are general metaheuristics used in optimization that represent a more recent alternative to classical approaches like evolutionary algorithms. In a nutshell, EDAs typically do not directly evolve…

Neural and Evolutionary Computing · Computer Science 2018-06-15 Martin S. Krejca , Carsten Witt
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