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In many expert and everyday reasoning contexts it is very useful to reason on the basis of defeasible assumptions. For instance, if the information at hand is incomplete we often use plausible assumptions, or if the information is…

Logic in Computer Science · Computer Science 2018-04-25 AnneMarie Borg

We present ABA+, a new approach to handling preferences in a well known structured argumentation formalism, Assumption-Based Argumentation (ABA). In ABA+, preference information given over assumptions is incorporated directly into the…

Artificial Intelligence · Computer Science 2016-10-13 Kristijonas Čyras , Francesca Toni

Abstract argumentation is a popular toolkit for modeling, evaluating, and comparing arguments. Relationships between arguments are specified in argumentation frameworks (AFs), and conditions are placed on sets (extensions) of arguments that…

Artificial Intelligence · Computer Science 2024-08-21 Johannes K. Fichte , Markus Hecher , Yasir Mahmood , Arne Meier

Abstract Dialectical Frameworks (ADFs) are argumentation frameworks where each node is associated with an acceptance condition. This allows us to model different types of dependencies as supports and attacks. Previous studies provided a…

Artificial Intelligence · Computer Science 2019-07-24 João Alcântara , Samy Sá , Juan Acosta-Guadarrama

Powerful formalisms for abstract argumentation have been proposed, among them abstract dialectical frameworks (ADFs) that allow for a succinct and flexible specification of the relationship between arguments, and the GRAPPA framework which…

Artificial Intelligence · Computer Science 2020-04-22 Gerhard Brewka , Martin Diller , Georg Heissenberger , Thomas Linsbichler , Stefan Woltran

An answer set is a plain set of literals which has no further structure that would explain why certain literals are part of it and why others are not. We show how argumentation theory can help to explain why a literal is or is not contained…

Artificial Intelligence · Computer Science 2020-02-19 Claudia Schulz , Francesca Toni

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

Argumentative explainable AI has been advocated by several in recent years, with an increasing interest on explaining the reasoning outcomes of Argumentation Frameworks (AFs). While there is a considerable body of research on qualitatively…

Artificial Intelligence · Computer Science 2023-08-08 Xiang Yin , Nico Potyka , Francesca Toni

In ASPIC-style structured argumentation an argument can rebut another argument by attacking its conclusion. Two ways of formalizing rebuttal have been proposed: In restricted rebuttal, the attacked conclusion must have been arrived at with…

Artificial Intelligence · Computer Science 2020-07-10 Marcos Cramer , Meghna Bhadra

This paper presents a formal approach to explaining change of inference in Quantitative Bipolar Argumentation Frameworks (QBAFs). When drawing conclusions from a QBAF and updating the QBAF to then again draw conclusions (and so on), our…

Artificial Intelligence · Computer Science 2025-09-24 Timotheus Kampik , Kristijonas Čyras , José Ruiz Alarcón

In dialogical argumentation it is often assumed that the involved parties always correctly identify the intended statements posited by each other, realize all of the associated relations, conform to the three acceptability states (accepted,…

Artificial Intelligence · Computer Science 2017-12-11 Sylwia Polberg , Anthony Hunter

Approximation fixpoint theory (AFT) is an abstract and general algebraic framework for studying the semantics of nonmonotonic logics. It provides a unifying study of the semantics of different formalisms for nonmonotonic reasoning, such as…

Artificial Intelligence · Computer Science 2022-12-02 Jesse Heyninck , Ofer Arieli , Bart Bogaerts

Argument graphs provide an abstract representation of an argumentative situation. A bipolar argument graph is a directed graph where each node denotes an argument, and each arc denotes the influence of one argument on another. Here we…

Artificial Intelligence · Computer Science 2023-08-09 Anthony Hunter

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

We consider multi-agent argumentation, where each agent's view of the arguments is encoded as an argumentation framework (AF). Then we study deliberative processes than can occur on this basis. We think of a deliberative process as taking…

Logic in Computer Science · Computer Science 2014-08-08 Truls Pedersen , Sjur Dyrkolbotn

The connection between inconsistent databases and Dung's abstract argumentation framework has recently drawn growing interest. Specifically, an inconsistent database, involving certain types of integrity constraints such as functional and…

Logic in Computer Science · Computer Science 2024-12-17 Yasir Mahmood , Markus Hecher , Axel-Cyrille Ngonga Ngomo

Recently, Strength-based Argumentation Frameworks (StrAFs) have been proposed to model situations where some quantitative strength is associated with arguments. In this setting, the notion of accrual corresponds to sets of arguments that…

Artificial Intelligence · Computer Science 2022-07-07 Yohann Bacquey , Jean-Guy Mailly , Pavlos Moraitis , Julien Rossit

Assumption-based argumentation (ABA) is a central structured argumentation formalism. As shown recently, answer set programming (ASP) enables efficiently solving NP-hard reasoning tasks of ABA in practice, in particular in the commonly…

Artificial Intelligence · Computer Science 2021-08-10 Tuomo Lehtonen , Johannes P. Wallner , Matti Järvisalo

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

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