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Abstract argumentation frameworks (AFs) are one of the most studied formalisms in AI. In this work, we introduce a certain subclass of AFs which we call compact. Given an extension-based semantics, the corresponding compact AFs are…

Artificial Intelligence · Computer Science 2014-05-01 Ringo Baumann , Wolfgang Dvorák , Thomas Linsbichler , Hannes Strass , Stefan Woltran

Cycles of attacking arguments pose non-trivial issues in Dung style argumentation theory, apparent behavioural difference between odd and even length cycles being a notable one. While a few methods were proposed for treating them, to - in…

Artificial Intelligence · Computer Science 2018-02-06 Ryuta Arisaka , Jeremie Dauphin

To adequately model mathematical arguments the analyst must be able to represent the mathematical objects under discussion and the relationships between them, as well as inferences drawn about these objects and relationships as the…

Computation and Language · Computer Science 2018-07-17 Joseph Corneli , Ursula Martin , Dave Murray-Rust , Gabriela Rino Nesin , Alison Pease

The notion of stability in a structured argumentation setup characterizes situations where the acceptance status associated with a given literal will not be impacted by any future evolution of this setup. In this paper, we abstract away…

Artificial Intelligence · Computer Science 2020-12-24 Jean-Guy Mailly , Julien Rossit

We introduce Forecasting Argumentation Frameworks (FAFs), a novel argumentation-based methodology for forecasting informed by recent judgmental forecasting research. FAFs comprise update frameworks which empower (human or artificial) agents…

Artificial Intelligence · Computer Science 2022-05-25 Benjamin Irwin , Antonio Rago , Francesca Toni

From an inconsistent database non-trivial arguments may be constructed both for a proposition, and for the contrary of that proposition. Therefore, inconsistency in a logical database causes uncertainty about which conclusions to accept.…

Artificial Intelligence · Computer Science 2013-08-12 Morten Elvang-Gøransson , Paul J. Krause , John Fox

After a few decades of development, computational argumentation has become one of the active realms in AI. This paper considers extension-based concrete and abstract semantics of argumentation. For concrete ones, based on Grossi and…

Artificial Intelligence · Computer Science 2021-05-21 Lixing Tan , Zhaohui Zhu , Jinjin Zhang

This paper outlines a general formal framework for reasoning systems, intended to support future analysis of inference architectures across domains. We model reasoning systems as structured tuples comprising phenomena, explanation space,…

Artificial Intelligence · Computer Science 2025-08-05 Saleh Nikooroo , Thomas Engel

We introduce Supported Abstract Argumentation for Case-Based Reasoning (sAA-CBR), a binary classification model in which past cases engage in debates by arguing in favour of their labelling and attacking or supporting those with opposing or…

Artificial Intelligence · Computer Science 2025-07-08 Adam Gould , Gabriel de Olim Gaul , Francesca Toni

Abstract argumentation provides us with methods such as gradual and Dung semantics with which to evaluate arguments after potential attacks by other arguments. Some of these methods can take intrinsic strengths of arguments as input, with…

Artificial Intelligence · Computer Science 2021-09-02 Jeroen Paul Spaans

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

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

Gradual argumentation is a field of symbolic AI which is attracting attention for its ability to support transparent and contestable AI systems. It is considered a useful tool in domains such as decision-making, recommendation, debate…

Artificial Intelligence · Computer Science 2026-05-15 Aniol Civit , Antonio Rago , Antonio Andriella , Guillem Alenyà , Francesca Toni

Argumentation accommodates various rhetorical devices, such as questions, reported speech, and imperatives. These rhetorical tools usually assert argumentatively relevant propositions rather implicitly, so understanding their true meaning…

Computation and Language · Computer Science 2020-10-07 Yohan Jo , Jacky Visser , Chris Reed , Eduard Hovy

Humans currently use arguments for explaining choices which are already made, or for evaluating potential choices. Each potential choice has usually pros and cons of various strengths. In spite of the usefulness of arguments in a decision…

Artificial Intelligence · Computer Science 2012-07-19 Leila Amgoud , Henri Prade

Recently, qualitative uncertainty in abstract argumentation has received much attention. The first works on this topic introduced uncertainty about the presence of attacks, then about the presence of arguments, and finally combined both…

Artificial Intelligence · Computer Science 2020-11-20 Jean-Guy Mailly

Various structured argumentation frameworks utilize preferences as part of their standard inference procedure to enable reasoning with preferences. In this paper, we consider an inverse of the standard reasoning problem, seeking to identify…

Artificial Intelligence · Computer Science 2020-05-13 Quratul-ain Mahesar , Nir Oren , Wamberto W. Vasconcelos

There are various interesting semantics' (extensions) designed for argumentation frameworks. They enable to assign a meaning, e.g., to odd-length cycles. Our main motivation is to transfer semantics' proposed by Baroni, Giacomin and Guida…

Logic in Computer Science · Computer Science 2011-08-29 Monika Adamova , Jan Sefranek

Assurance cases offer a structured way to present arguments and evidence for certification of systems where safety and security are critical. However, creating and evaluating these assurance cases can be complex and challenging, even for…

Abstract argumentation has emerged as a method for non-monotonic reasoning that has gained popularity in the symbolic artificial intelligence community. In the literature, the different approaches to abstract argumentation that were refined…

Artificial Intelligence · Computer Science 2021-01-11 Timotheus Kampik , Juan Carlos Nieves
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