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Assumption-Based Argumentation (ABA) is a well-established formalism for modelling and reasoning over debates, with a wide range of applications. However, the high computational complexity of core reasoning tasks in ABA poses a significant…

Artificial Intelligence · Computer Science 2026-05-01 Giovanni Buraglio , Wolfgang Dvorak , Stefan Woltran

Assumption-based Argumentation (ABA) is a well-known structured argumentation formalism, whereby arguments and attacks between them are drawn from rules, defeasible assumptions and their contraries. A common restriction imposed on ABA…

Artificial Intelligence · Computer Science 2024-01-09 Markus Ulbricht , Nico Potyka , Anna Rapberger , Francesca Toni

Argumentation Frameworks (AFs) are a key formalism in AI research. Their semantics have been investigated in terms of principles, which define characteristic properties in order to deliver guidance for analysing established and developing…

Artificial Intelligence · Computer Science 2022-05-09 Wolfgang Dvořák , Matthias König , Markus Ulbricht , Stefan Woltran

This paper develops a new approach to computational argumentation that is informed by philosophical and linguistic views. Namely, it takes into account two ideas that have received little attention in the literature on computational…

Artificial Intelligence · Computer Science 2026-02-04 Michael A. Müller , Srdjan Vesic , Bruno Yun

Generalizing the attack structure in argumentation frameworks (AFs) has been studied in different ways. Most prominently, the binary attack relation of Dung frameworks has been extended to the notion of collective attacks. The resulting…

Artificial Intelligence · Computer Science 2020-07-08 Wolfgang Dvořák , Atefeh Keshavarzi Zafarghandi , Stefan Woltran

Formal argumentation is being used increasingly in artificial intelligence as an effective and understandable way to model potentially conflicting pieces of information, called arguments, and identify so-called acceptable arguments…

Artificial Intelligence · Computer Science 2026-03-09 Yann Munro , Isabelle Bloch , Marie-Jeanne Lesot

Abstract argumentation frameworks are formal systems that facilitate obtaining conclusions from non-monotonic knowledge systems. Within such a system, an argumentation semantics is defined as a set of arguments with some desired qualities,…

Artificial Intelligence · Computer Science 2018-08-14 Renata Wong

In computational argumentation, gradual semantics are fine-grained alternatives to extension-based and labelling-based semantics . They ascribe a dialectical strength to (components of) arguments sanctioning their degree of acceptability.…

Artificial Intelligence · Computer Science 2025-08-04 Anna Rapberger , Fabrizio Russo , Antonio Rago , Francesca Toni

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

Bipolar Argumentation Frameworks (BAFs) admit several interpretations of the support relation and diverging definitions of semantics. Recently, several classes of BAFs have been captured as instances of bipolar Assumption-Based…

Artificial Intelligence · Computer Science 2021-01-19 Amin Karamlou , Kristijonas Čyras , Francesca Toni

Argumentation frameworks ($AF$s) have been a useful tool for approximate reasoning. The encoding method is an important approach to formally model $AF$s under related semantics. The aim of this paper is to develop the encoding method from…

Logic · Mathematics 2025-12-02 Shuai Tang , Jiachao Wu , Ning Zhou

Dung's Abstract Argumentation Framework (AF) has emerged as a key formalism for argumentation in Artificial Intelligence. It has been extended in several directions, including the possibility to express supports, leading to the development…

Artificial Intelligence · Computer Science 2025-01-22 Gianvincenzo Alfano , Sergio Greco , Francesco Parisi , Irina Trubitsyna

A Timed Argumentation Framework (TAF) is a formalism where arguments are only valid for consideration in a given period of time, called availability intervals, which are defined for every individual argument. The original proposal is based…

Artificial Intelligence · Computer Science 2019-03-06 Maximiliano C. D. Budán , Maria Laura Cobo , Diego C. Martinez , Guillermo R. Simari

The connection between subset-maximal repairs for inconsistent databases involving various integrity constraints and acceptable sets of arguments within argumentation frameworks has recently drawn growing interest. In this paper, we…

Databases · Computer Science 2026-05-06 Yasir Mahmood , Jonni Virtema , Timon Barlag , Axel-Cyrille Ngonga Ngomo

In this work, we broaden the investigation of admissibility notions in the context of assumption-based argumentation (ABA). More specifically, we study two prominent alternatives to the standard notion of admissibility from abstract…

Artificial Intelligence · Computer Science 2025-08-18 Matti Berthold , Lydia Blümel , Anna Rapberger

We introduce a novel method to aggregate Bipolar Argumentation (BA) Frameworks expressing opinions by different parties in debates. We use Bipolar Assumption-based Argumentation (ABA) as an all-encompassing formalism for BA under different…

Artificial Intelligence · Computer Science 2021-02-08 Stefan Lauren , Francesco Belardinelli , Francesca Toni

In many real-life situations that involve exchanges of arguments, individuals may differ on their assessment of which supports between the arguments are in fact justified, i.e., they put forward different support-relations. When confronted…

Artificial Intelligence · Computer Science 2021-06-23 Weiwei Chen

Quantitative Bipolar Argumentation Frameworks (QBAFs) provide an alternative approach to computing argument acceptability in Bipolar Argumentation Frameworks (BAFs). Each argument is assigned an initial strength, which is then updated to a…

Artificial Intelligence · Computer Science 2026-05-05 Gianvincenzo Alfano , Sergio Greco , Lucio La Cava , Francesco Parisi , Irina Trubitsyna

Most existing computational tools for assumption-based argumentation (ABA) focus on so-called flat frameworks, disregarding the more general case. In this paper, we study an instantiation-based approach for reasoning in possibly non-flat…

Artificial Intelligence · Computer Science 2024-05-27 Tuomo Lehtonen , Anna Rapberger , Francesca Toni , Markus Ulbricht , Johannes P. Wallner

Argumentation frameworks ($AF$s) have been extensively developed, but existing higher-order bipolar $AF$s suffer from critical limitations: attackers and supporters are restricted to arguments, multi-valued and fuzzy semantics lack unified…

Logic · Mathematics 2025-12-30 Shuai Tang
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