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Argumentation frameworks, consisting of arguments and an attack relation representing conflicts, are fundamental for formally studying reasoning under conflicting information. We use methods from mathematical logic, specifically…

Artificial Intelligence · Computer Science 2025-12-01 Uri Andrews , Luca San Mauro

Argumentation frameworks (AFs) are a foundational tool in artificial intelligence for modeling structured reasoning and conflict. SCC-recursiveness is a well-known design principle in which the evaluation of arguments is decomposed…

Artificial Intelligence · Computer Science 2025-07-10 Uri Andrews , Luca San Mauro

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

The surge in reinforcement learning (RL) applications gave rise to diverse supporting technology, such as RL frameworks. However, the architectural patterns of these frameworks are inconsistent across implementations and there exists no…

Software Engineering · Computer Science 2026-03-09 Xiaoran Liu , Istvan David

Dynamics and uncertainty are essential features of real-life argumentation, and many recent studies have focused on integrating both aspects into Dung's well-known abstract Argumentation Frameworks (AFs). This paper proposes a combination…

Logic in Computer Science · Computer Science 2023-02-08 Antonio Yuste-Ginel , Andreas Herzig

The recent Control Argumentation Framework (CAF) is a generalization of Dung's Argumentation Framework which handles argumentation dynamics under uncertainty; especially it can be used to model the behavior of an agent which can anticipate…

Artificial Intelligence · Computer Science 2020-09-11 Jean-Guy Mailly

Abstract argumentation framework (\AFname) is a unifying framework able to encompass a variety of nonmonotonic reasoning approaches, logic programming and computational argumentation. Yet, efficient approaches for most of the decision and…

Artificial Intelligence · Computer Science 2014-11-19 Federico Cerutti , Ilias Tachmazidis , Mauro Vallati , Sotirios Batsakis , Massimiliano Giacomin , Grigoris Antoniou

From daily discussions to marketing ads to political statements, information manipulation is rife. It is increasingly more important that we have the right set of tools to defend ourselves from manipulative rhetoric, or fallacies. Suitable…

Artificial Intelligence · Computer Science 2023-10-26 Ryuta Arisaka , Ryoma Nakai , Yusuke Kawamoto , Takayuki Ito

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

An extension of an abstract argumentation framework, called collective argumentation, is introduced in which the attack relation is defined directly among sets of arguments. The extension turns out to be suitable, in particular, for…

Artificial Intelligence · Computer Science 2007-05-23 Alexander Bochman

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

The goal of automatic resource bound analysis is to statically infer symbolic bounds on the resource consumption of the evaluation of a program. A longstanding challenge for automatic resource analysis is the inference of bounds that are…

Programming Languages · Computer Science 2023-04-27 Jessie Grosen , David M. Kahn , Jan Hoffmann

We observed that safety arguments are prone to stay too abstract, e.g. solutions refer to large packages, argument strategies to complex reasoning steps, contexts and assumptions lack traceability. These issues can reduce the confidence we…

Software Engineering · Computer Science 2025-03-21 Mario Gleirscher , Carmen Carlan

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

Abstract Persuasion Argumentation (APA) is a dynamic argumentation formalism that extends Dung argumentation with persuasion relations. In this work, we show through two-counter Minsky machine encoding that APA dynamics is Turing-complete.

Logic in Computer Science · Computer Science 2019-03-20 Ryuta Arisaka

This work proposes novel splitting techniques for argumentation formalisms that incorporate supports between defeasible elements. We base our studies on bipolar set-based argumentation frameworks (BSAFs) which generalize argumentation…

Artificial Intelligence · Computer Science 2026-05-01 Matti Berthold , Lydia Blümel , Giovanni Buraglio , Anna Rapberger

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

Recently there has been an increasing interest in frameworks extending Dung's abstract Argumentation Framework (AF). Popular extensions include bipolar AFs and AFs with recursive attacks and necessary supports. Although the relationships…

Artificial Intelligence · Computer Science 2020-08-07 Gianvincenzo Alfano , Sergio Greco , Francesco Parisi , Irina Trubitsyna

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

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