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DHOL is an extensional, classical logic that equips the well-known higher-order logic (HOL) with dependent types. This allows for concise encodings of important domains like size-bounded data structures, category theory, or proof theory.…

Logic in Computer Science · Computer Science 2026-05-04 Rhea Ranalter , Florian Rabe , Cezary Kaliszyk

We present a generic framework that facilitates object level reasoning with logics that are encoded within the Higher Order Logic theorem proving environment of HOL Light. This involves proving statements in any logic using intuitive…

Logic in Computer Science · Computer Science 2021-01-12 Petros Papapanagiotou , Jacques Fleuriot

The rapid rollout of AI in heterogeneous public and societal sectors has subsequently escalated the need for compliance with regulatory standards and frameworks. The EU AI Act has emerged as a landmark in the regulatory landscape. The…

Artificial Intelligence · Computer Science 2026-03-11 Athanasios Davvetas , Michael Papademas , Xenia Ziouvelou , Vangelis Karkaletsis

We present a novel approach for teaching logic and the metatheory of logic to students who have some experience with functional programming. We define concepts in logic as a series of functional programs in the language of the proof…

Programming Languages · Computer Science 2022-07-27 Frederik Krogsdal Jacobsen , Jørgen Villadsen

With the upcoming enforcement of the EU AI Act, documentation of high-risk AI systems and their risk management information will become a legal requirement playing a pivotal role in demonstration of compliance. Despite its importance, there…

The increasing integration of artificial intelligence (AI) systems in various fields requires solid concepts to ensure compliance with upcoming legislation. This paper systematically examines the compliance of AI systems with relevant…

Computers and Society · Computer Science 2026-04-21 Julius Schöning , Niklas Kruse

The logic embedding tool provides a procedural encoding for non-classical reasoning problems into classical higher-order logic. It is extensible and can support an increasing number of different non-classical logics as reasoning targets.…

Artificial Intelligence · Computer Science 2022-03-24 Alexander Steen

We present an approach for testing student learning outcomes in a course on automated reasoning using the Isabelle proof assistant. The approach allows us to test both general understanding of formal proofs in various logical proof systems…

Logic in Computer Science · Computer Science 2023-03-13 Frederik Krogsdal Jacobsen , Jørgen Villadsen

As artificial intelligence (AI) regulations evolve and the regulatory landscape develops and becomes more complex, ensuring compliance with ethical guidelines and legal frameworks remains a challenge for AI developers. This paper introduces…

Information Retrieval · Computer Science 2025-05-20 Adam Kovari , Yasin Ghafourian , Csaba Hegedus , Belal Abu Naim , Kitti Mezei , Pal Varga , Markus Tauber

The lack of explainability of Artificial Intelligence (AI) is one of the first obstacles that the industry and regulators must overcome to mitigate the risks associated with the technology. The need for eXplainable AI (XAI) is evident in…

Computers and Society · Computer Science 2025-02-24 Georgios Pavlidis

This article provides a critical overview of the recently approved Artificial Intelligence Act. It starts by presenting the main structure, objectives, and approach of Regulation (EU) 2024/1689. A definition of key concepts follows, and…

Computers and Society · Computer Science 2024-09-04 Nuno Sousa e Silva

What constitutes a fair decision? This question is not only difficult for humans but becomes more challenging when Artificial Intelligence (AI) models are used. In light of discriminatory algorithmic behaviors, the EU has recently passed…

Machine Learning · Computer Science 2026-01-23 Kristof Meding

In quantum information and computation research, symbolic methods have been widely used for human specification and reasoning about quantum states and operations. At the same time, they are essential for ensuring the scalability and…

Programming Languages · Computer Science 2025-12-30 Mingsheng Ying

A sound and complete embedding of conditional logics into classical higher-order logic is presented. This embedding enables the application of off-the-shelf higher-order automated theorem provers and model finders for reasoning within and…

Artificial Intelligence · Computer Science 2011-08-18 Christoph Benzmueller , Dov Gabbay , Valerio Genovese , Daniele Rispoli

A shallow semantical embedding for public announcement logic with relativized common knowledge is presented. This embedding enables the first-time automation of this logic with off-the-shelf theorem provers for classical higher-order logic.…

Artificial Intelligence · Computer Science 2020-10-05 Sebastian Reiche , Christoph Benzmüller

This article discusses the evolving role of artificial intelligence (AI) in the legal profession, focusing on its potential to streamline tasks such as document review, research, and contract drafting. However, challenges persist,…

Artificial Intelligence · Computer Science 2025-03-06 Sidra Nasir , Qamar Abbas , Samita Bai , Rizwan Ahmed Khan

Policy documents, such as legislation, regulations, and executive orders, are crucial in shaping society. However, their length and complexity make interpretation and application challenging and time-consuming. Artificial intelligence (AI),…

Computation and Language · Computer Science 2024-06-12 Mark A. Kramer , Allen Leavens , Alexander Scarlat

The European Union's Artificial Intelligence Act aims to regulate manipulative and harmful uses of AI, but lacks precise definitions for key concepts. This paper provides technical recommendations to improve the Act's conceptual clarity and…

Artificial Intelligence · Computer Science 2023-09-01 Matija Franklin , Philip Moreira Tomei , Rebecca Gorman

The European Union's Artificial Intelligence Act (Regulation (EU) 2024/1689) establishes the world's first comprehensive regulatory framework for AI systems through a sophisticated ecosystem of interconnected subjects defined in Article 3.…

Computers and Society · Computer Science 2025-10-16 Nicola Fabiano

Despite recent efforts by the Artificial Intelligence (AI) community to move towards standardised procedures for documenting models, methods, systems or datasets, there is currently no methodology focused on use cases aligned with the…

Computers and Society · Computer Science 2023-06-27 Isabelle Hupont , David Fernández-Llorca , Sandra Baldassarri , Emilia Gómez