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An efficient intuitionistic first-order prover integrated into Coq is useful to replay proofs found by external automated theorem provers. We propose a two-phase approach: An intuitionistic prover generates a certificate based on the matrix…

Logic in Computer Science · Computer Science 2016-06-21 Fabian Kunze

Interactive theorem provers (ITPs) are powerful tools for the formal verification of mathematical proofs down to the axiom level. However, their lack of a natural language interface remains a significant limitation. Recent advancements in…

Logic in Computer Science · Computer Science 2025-07-01 Xiaolin Hu , Qinghua Zhou , Bogdan Grechuk , Ivan Y. Tyukin

One-to-one tutoring is widely considered the gold standard for personalized education, yet it remains prohibitively expensive to scale. To evaluate whether generative AI might help expand access to this resource, we conducted an exploratory…

Iterative machine teaching is a method for selecting an optimal teaching example that enables a student to efficiently learn a target concept at each iteration. Existing studies on iterative machine teaching are based on supervised machine…

Machine Learning · Computer Science 2020-06-30 Mingzhe Yang , Yukino Baba

This research-to-practice work-in-progress (WIP) paper presents an AI-enabled smart tutor designed to provide homework assessment and feedback for students in an undergraduate circuit analysis course. We detail the tutor's design philosophy…

Computers and Society · Computer Science 2025-06-11 Liangliang Chen , Huiru Xie , Jacqueline Rohde , Ying Zhang

It is nowadays common to consider that proof must be part of the learning of mathematics from Kindergarten to University1. As it is easy to observe, looking back to the history of mathematical curricula, this has not always been the case…

History and Overview · Mathematics 2023-05-31 Nicolas Balacheff

The integration of artificial intelligence (AI) into education continues to evoke both promise and skepticism. While past waves of technological optimism often fell short, recent advances in large language models (LLMs) have revived the…

Computers and Society · Computer Science 2025-12-16 Lucia Happe , Dominik Fuchß , Luca Hüttner , Kai Marquardt , Anne Koziolek

Existing work on generating hints in Intelligent Tutoring Systems (ITS) focuses mostly on manual and non-personalized feedback. In this work, we explore automatically generated questions as personalized feedback in an ITS. Our personalized…

Computation and Language · Computer Science 2022-06-10 Devang Kulshreshtha , Muhammad Shayan , Robert Belfer , Siva Reddy , Iulian Vlad Serban , Ekaterina Kochmar

In the article, proposed is a new e-learning information technology based on an ontology driven learning engine, which is matched with modern pedagogical technologies. With the help of proposed engine and developed question database we have…

Computers and Society · Computer Science 2017-10-18 Liskin Viacheslav , Syrota Sergiy

AI is promising in assisting UX evaluators with analyzing usability tests, but its judgments are typically presented as non-interactive visualizations. Evaluators may have questions about test recordings, but have no way of asking them.…

Human-Computer Interaction · Computer Science 2023-03-08 Emily Kuang , Ehsan Jahangirzadeh Soure , Mingming Fan , Jian Zhao , Kristen Shinohara

One-on-one tutoring is an effective instructional method for enhancing learning, yet its efficacy hinges on tutor competencies. Novice math tutors often prioritize content-specific guidance, neglecting aspects such as social-emotional…

We present IntelliProof, an interactive system for analyzing argumentative essays through LLMs. IntelliProof structures an essay as an argumentation graph, where claims are represented as nodes, supporting evidence is attached as node…

Computation and Language · Computer Science 2025-11-19 Kaveh Eskandari Miandoab , Katharine Kowalyshyn , Kabir Pamnani , Anesu Gavhera , Vasanth Sarathy , Matthias Scheutz

Representation determines how we can reason about a specific problem. Sometimes one representation helps us find a proof more easily than others. Most current automated reasoning tools focus on reasoning within one representation. There is,…

Artificial Intelligence · Computer Science 2015-05-12 Daniel Raggi , Alan Bundy , Gudmund Grov , Alison Pease

Access to quality education remains a global challenge, particularly in crisis-affected regions. This study examines the decline in students' mathematical proficiency and proposes an innovative Moodle-based testing system that incorporates…

History and Overview · Mathematics 2026-04-22 I. V. Orlovskyi , O. A. Tymoshenko

Wizard of OZ (WOZ) is a well-established method for simulating the functionality and user experience of future systems. Using a human wizard to mimic certain operations of a potential system is particularly useful in situations where…

Human-Computer Interaction · Computer Science 2024-02-23 Stephan Schlögl , Gavin Doherty , Saturnino Luz

Learning to learn is becoming a science, driven by the convergence of knowledge tracing, signal processing, and generative AI to model student learning states and optimize education. We propose CoTutor, an AI-driven model that enhances…

Artificial Intelligence · Computer Science 2025-09-30 Yuchen Wang , Pei-Duo Yu , Chee Wei Tan

Chat interfaces for intelligent tutoring systems (ITSs) enable interactivity and flexibility. However, when students interact with chat interfaces, they expect dialogue-driven navigation from the system and can express frustration and…

Human-Computer Interaction · Computer Science 2025-02-24 Ella Cutler , Zachary Levonian , S. Thomas Christie

As robots and other intelligent agents move from simple environments and problems to more complex, unstructured settings, manually programming their behavior has become increasingly challenging and expensive. Often, it is easier for a…

Robotics · Computer Science 2018-11-19 Takayuki Osa , Joni Pajarinen , Gerhard Neumann , J. Andrew Bagnell , Pieter Abbeel , Jan Peters

Formal verification using interactive theorem provers ensures high-quality software. However, writing proof scripts for interactive theorem provers is labor-intensive and requires deep expertise. Recent studies have leveraged deep learning…

Logic in Computer Science · Computer Science 2026-04-28 Manqing Zhang , Yunwei Dong , Lingru Zhou , Bingxu Xiao , Yepang Liu

The effectiveness of Multimodal Chain-of-Thought (MCoT) prompting is often limited by the use of randomly or manually selected examples. These examples fail to account for both model-specific knowledge distributions and the intrinsic…

Computation and Language · Computer Science 2025-10-14 Xinglong Yang , Quan Feng , Zhongying Pan , Xiang Chen , Yu Tian , Wentong Li , Shuofei Qiao , Yuxia Geng , Xingyu Zhao , Sheng-Jun Huang
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