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Abstract argumentation offers an appealing way of representing and evaluating arguments and counterarguments. This approach can be enhanced by a probability assignment to each argument. There are various interpretations that can be ascribed…

Artificial Intelligence · Computer Science 2014-05-15 Anthony Hunter , Matthias Thimm

In this paper, we consider counting and projected model counting of extensions in abstract argumentation for various semantics. When asking for projected counts we are interested in counting the number of extensions of a given argumentation…

Artificial Intelligence · Computer Science 2018-11-29 Johannes K. Fichte , Markus Hecher , Arne Meier

This paper studies a fundamental mechanism of how to detect a conflict between arguments given sentiments regarding acceptability of the arguments. We introduce a concept of the inverse problem of the abstract argumentation to tackle the…

Artificial Intelligence · Computer Science 2021-01-28 Hiroyuki Kido , Beishui Liao

The matrices and their sub-blocks are introduced into the study of determining various extensions in the sense of Dung's theory of argumentation frameworks. It is showed that each argumentation framework has its matrix representations, and…

Artificial Intelligence · Computer Science 2012-09-11 Xu Yuming

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

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

In this paper, we address the problem of change in an abstract argumentation system. We focus on a particular change: the addition of a new argument which interacts with previous arguments. We study the impact of such an addition on the…

Artificial Intelligence · Computer Science 2014-01-17 Claudette Cayrol , Florence Dupin de Saint-Cyr , Marie-Christine Lagasquie-Schiex

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

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

Explainable Artificial Intelligence and Formal Argumentation have received significant attention in recent years. Argumentation-based systems often lack explainability while supporting decision-making processes. Counterfactual and…

Artificial Intelligence · Computer Science 2024-05-08 Gianvincenzo Alfano , Sergio Greco , Francesco Parisi , Irina Trubitsyna

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

The paper describes an extension of well-founded semantics for logic programs with two types of negation. In this extension information about preferences between rules can be expressed in the logical language and derived dynamically. This…

Artificial Intelligence · Computer Science 2008-02-03 G. Brewka

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

We present a computer-supported approach for the logical analysis and conceptual explicitation of argumentative discourse. Computational hermeneutics harnesses recent progresses in automated reasoning for higher-order logics and aims at…

Artificial Intelligence · Computer Science 2022-12-12 David Fuenmayor , Christoph Benzmüller

In formal argumentation, a distinction can be made between extension-based semantics, where sets of arguments are either (jointly) accepted or not, and ranking-based semantics, where grades of acceptability are assigned to arguments.…

Artificial Intelligence · Computer Science 2023-08-01 Jesse Heyninck , Badran Raddaoui , Christian Straßer

Given an argumentation framework AF, we introduce a mapping function that constructs a disjunctive logic program P, such that the preferred extensions of AF correspond to the stable models of P, after intersecting each stable model with the…

Artificial Intelligence · Computer Science 2008-12-18 Juan Carlos Nieves , Mauricio Osorio , Ulises Cortés

There is a generic way to add any new feature to a system. It involves 1) identifying the basic units which build up the system and 2) introducing the new feature to each of these basic units. In the case where the system is argumentation…

Artificial Intelligence · Computer Science 2015-03-19 D. M. Gabbay , O. Rodrigues

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 frameworks (AFs) provide a formal setting to analyze many forms of reasoning with conflicting information. While the expressiveness of general infinite AFs make them a tempting tool for modeling many kinds of…

Artificial Intelligence · Computer Science 2025-08-26 Uri Andrews , Luca San Mauro

We study how to infer new choices from prior choices using the framework of choice functions, a unifying mathematical framework for decision-making based on sets of preference orders. In particular, we define the natural (most conservative)…

Artificial Intelligence · Computer Science 2024-12-02 Arne Decadt , Alexander Erreygers , Jasper De Bock