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An abstract argumentation framework can be used to model the argumentative stance of an agent at a high level of abstraction, by indicating for every pair of arguments that is being considered in a debate whether the first attacks the…

Artificial Intelligence · Computer Science 2017-07-28 Weiwei Chen , Ulle Endriss

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

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

We propose a novel ranking-based semantics for Dung-style argumentation frameworks with the help of conditional logics. Using an intuitive translation for an argumentation framework to generate conditionals, we can apply nonmonotonic…

Artificial Intelligence · Computer Science 2020-08-07 Kenneth Skiba , Matthias Thimm

Preference-based argumentation frameworks (PAFs) extend Dung's approach to abstract argumentation (AAFs) by encoding preferences over arguments. Such preferences control the transformation of attacks into defeats, and different approaches…

Artificial Intelligence · Computer Science 2026-04-28 Alessio Zaninotto , Bruno Yun , Nir Oren , Srdjan Vesic

We make three contributions. First, we formulate a discussion-graph semantics for first-order logic with equality, enabling reasoning about discussion and argumentation in AI more generally than before. This addresses the current lack of a…

Artificial Intelligence · Computer Science 2025-11-14 Ryuta Arisaka

In this paper we introduce a novel family of semantics called weakly complete semantics. Differently from Dung's complete semantics, weakly complete semantics employs a mechanism called undecidedness blocking by which the label undecided of…

Logic in Computer Science · Computer Science 2021-03-22 Pierpaolo Dondio , Luca Longo

Ontologies and automated reasoning are the building blocks of the Semantic Web initiative. Derivation rules can be included in an ontology to define derived concepts, based on base concepts. For example, rules allow to define the extension…

Artificial Intelligence · Computer Science 2011-11-02 Anastasia Analyti , Grigoris Antoniou , Carlos Viegas Damásio , Gerd Wagner

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 present a general formal argumentation system for dealing with the detachment of conditional obligations. Given a set of facts, constraints, and conditional obligations, we answer the question whether an unconditional obligation is…

Artificial Intelligence · Computer Science 2016-06-02 Mathieu Beirlaen , Christian Straßer

This paper introduces the notion of value-based argumentation frameworks, an extension of the standard argumentation frameworks proposed by Dung, which are able toshow how rational decision is possible in cases where arguments derive their…

Artificial Intelligence · Computer Science 2007-05-23 T. Bench-Capon

We present a new and compelling approach to the efficient solution of important computational problems that arise in the context of abstract argumentation. Our approach makes known algorithms defined for restricted fragments generally…

Artificial Intelligence · Computer Science 2011-04-18 Sebastian Ordyniak , Stefan Szeider

Translations between different nonmonotonic formalisms always have been an important topic in the field, in particular to understand the knowledge-representation capabilities those formalisms offer. We provide such an investigation in terms…

Artificial Intelligence · Computer Science 2014-01-17 Wolfgang Dvorak , Stefan Woltran

Effective field theories (EFTs) are widely considered by physicists to be explanatory and to be the appropriate frameworks for modelling various phenomena at different scales. At the same time, they are known to be approximate, restricted,…

History and Philosophy of Physics · Physics 2025-07-08 Martin King

The act of persuasion, a key component in rhetoric argumentation, may be viewed as a dynamics modifier. We extend Dung's frameworks with acts of persuasion among agents, and consider interactions among attack, persuasion and defence that…

Artificial Intelligence · Computer Science 2018-11-08 Ryuta Arisaka , Ken Satoh

We present BAss (BDD-based ADF symbolic solver), a novel analysis tool for Abstract Dialectical Frameworks (ADFs) based on Binary Decision Diagrams (BDDs). It supports the fully symbolic computation of all admissible, complete, and…

Logic in Computer Science · Computer Science 2026-05-05 Samuel Pastva , Van-Giang Trinh

Over the recent twenty years, argumentation has received considerable attention in the fields of knowledge representation, reasoning, and multi-agent systems. However, argumentation in dynamic multi-agent systems encounters the problem of…

Artificial Intelligence · Computer Science 2022-11-30 Minal Suresh Patil

The traditional abstract domain framework for imperative programs suffers from several shortcomings; in particular it does not allow precise symbolic abstractions. To solve these problems, we propose a new abstract interpretation framework,…

Software Engineering · Computer Science 2018-01-01 Matthieu Lemerre , Sébastien Bardin

The assignment of weights to attacks in a classical Argumentation Framework allows to compute semantics by taking into account the different importance of each argument. We represent a Weighted Argumentation Framework by a non-binary…

Artificial Intelligence · Computer Science 2018-10-04 Stefano Bistarelli , Alessandra Tappini , Carlo Taticchi

This note reviews Section 2 of Dung's seminal 1995 paper on abstract argumentation theory. In particular, we clarify and make explicit all of the proofs mentioned therein, and provide more examples to illustrate the definitions, with the…

Artificial Intelligence · Computer Science 2022-04-07 Anthony Peter Young