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Argumentation is an important topic of AI for modelling and reasoning about arguments. In abstract argumentation, we consider directed graphs, so-called argumentation frameworks (AF), that express conflicts between arguments. The semantics…

Artificial Intelligence · Computer Science 2026-05-14 Johannes K. Fichte , Markus Hecher , Yasir Mahmood , Zhengjun Wang

Mathematical proofs are often said to justify their conclusions by indicating the existence of a corresponding formal derivation. We argue that this widespread view relies on an under-examined notion of correspondence, or what it means for…

History and Overview · Mathematics 2026-03-20 Simon DeDeo , Eamon Duede

Formal logic has often been seen as uniquely placed to analyze mathematical argumentation. While formal logic is certainly necessary for a complete understanding of mathematical practice, it is not sufficient. Important aspects of…

History and Overview · Mathematics 2024-05-06 Andrew Aberdein , Zoe Ashton

In this paper we provide a first analysis of the research questions that arise when dealing with the problem of communicating pieces of formal argumentation through natural language interfaces. It is a generally held opinion that formal…

Artificial Intelligence · Computer Science 2017-06-14 Federico Cerutti , Alice Toniolo , Timothy J. Norman

We propose a new definition of actual causes, using structural equations to model counterfactuals.We show that the definitions yield a plausible and elegant account ofcausation that handles well examples which have caused problems forother…

Artificial Intelligence · Computer Science 2013-01-14 Joseph Y. Halpern , Judea Pearl

Knowing the truth is rarely enough -- we also seek out reasons why the fact is true. While much is known about how we explain contingent truths, we understand less about how we explain facts, such as those in mathematics, that are true as a…

Artificial Intelligence · Computer Science 2026-01-08 Gülce Kardeş , Simon DeDeo

Explainability is a critical factor in enhancing the trustworthiness and acceptance of artificial intelligence (AI) in healthcare, where decisions directly impact patient outcomes. Despite advancements in AI interpretability, clear…

Artificial Intelligence · Computer Science 2025-05-15 Michail Mamalakis , Héloïse de Vareilles , Graham Murray , Pietro Lio , John Suckling

Argumentation is the process of constructing arguments about propositions, and the assignment of statements of confidence to those propositions based on the nature and relative strength of their supporting arguments. The process is modelled…

Artificial Intelligence · Computer Science 2013-03-08 John Fox , Paul J. Krause , Morten Elvang-Gøransson

An abstract argumentation framework is a commonly used formalism to provide a static representation of a dialogue. However, the order of enunciation of the arguments in an argumentative dialogue is very important and can affect the outcome…

Artificial Intelligence · Computer Science 2024-10-01 Yann Munro , Camilo Sarmiento , Isabelle Bloch , Gauvain Bourgne , Catherine Pelachaud , Marie-Jeanne Lesot

In this paper we show how the defense relation among abstract arguments can be used to encode the reasons for accepting arguments. After introducing a novel notion of defenses and defense graphs, we propose a defense semantics together with…

Artificial Intelligence · Computer Science 2017-08-03 Beishui Liao , Leendert van der Torre

We present an extension-based approach for computing and verifying preferences in an abstract argumentation system. Although numerous argumentation semantics have been developed previously for identifying acceptable sets of arguments from…

Artificial Intelligence · Computer Science 2024-03-27 Quratul-ain Mahesar , Nir Oren , Wamberto W. Vasconcelos

The notion of argumentation and the one of belief stand in a problematic relation to one another. On the one hand, argumentation is crucial for belief formation: as the outcome of a process of arguing, an agent might come to (justifiably)…

Logic in Computer Science · Computer Science 2021-06-23 Alfredo Burrieza , Antonio Yuste-Ginel

In this paper, we address the problem of change in an abstract argumentation system. We focus on a particular change: the addition of a new argument which interacts with previous arguments. We study the impact of such an addition on the…

Artificial Intelligence · Computer Science 2014-01-17 Claudette Cayrol , Florence Dupin de Saint-Cyr , Marie-Christine Lagasquie-Schiex

Transparency is a fundamental requirement for decision making systems when these should be deployed in the real world. It is usually achieved by providing explanations of the system's behavior. A prominent and intuitive type of explanations…

Machine Learning · Computer Science 2021-07-23 André Artelt , Valerie Vaquet , Riza Velioglu , Fabian Hinder , Johannes Brinkrolf , Malte Schilling , Barbara Hammer

Explainability of algorithmic decision-making systems is both a regulatory objective and an area of intense research. The article argues that a crucial condition for the acceptability of algorithmic decision-making systems is that decisions…

Computers and Society · Computer Science 2026-03-03 Sarra Tajouri , Yves Meinard , Alexis Tsoukiàs , Thierry Kirat

Argumentation is a central subarea of Artificial Intelligence (AI) for modeling and reasoning about arguments. The semantics of abstract argumentation frameworks (AFs) is given by sets of arguments (extensions) and conditions on the…

Artificial Intelligence · Computer Science 2025-05-19 Johannes Fichte , Nicolas Fröhlich , Markus Hecher , Victor Lagerkvist , Yasir Mahmood , Arne Meier , Jonathan Persson

When a decision, such as the approval or denial of a bank loan, is delegated to a computer, an explanation of that decision ought to be given with it. This ethical need to explain the decisions leads to the search for a formal definition of…

Logic in Computer Science · Computer Science 2023-09-26 Gilles Dowek

Approximations during program analysis are a necessary evil, as they ensure essential properties, such as soundness and termination of the analysis, but they also imply not always producing useful results. Automatic techniques have been…

Programming Languages · Computer Science 2018-12-18 Isabel Garcia-Contreras , Jose F. Morales , Manuel V. Hermenegildo

Argumentation is a non-monotonic process. This reflects the fact that argumentation involves uncertain information, and so new information can cause a change in the conclusions drawn. However, the base logic does not need to be…

Artificial Intelligence · Computer Science 2018-09-05 Anthony Hunter

Systems for automatic argument generation and debate require the ability to (1) determine the stance of any claims employed in the argument and (2) assess the specificity of each claim relative to the argument context. Existing work on…

Computation and Language · Computer Science 2019-09-26 Esin Durmus , Faisal Ladhak , Claire Cardie