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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

We contemplate a higher-level bipolar abstract argumentation for non-elementary arguments such as: X argues against Ys sincerity with the fact that Y has presented his argument to draw a conclusion C, by omitting other facts which would not…

Artificial Intelligence · Computer Science 2019-01-21 Ryuta Arisaka , Stefano Bistarelli , Francesco Santini

The paper develops a formal theory of the degree of justification of arguments, which relies solely on the structure of an argumentation framework, and which can be successfully interfaced with approaches to instantiated argumentation. The…

Artificial Intelligence · Computer Science 2018-11-09 Davide Grossi , Sanjay Modgil

Reasoning with defeasible and conflicting knowledge in an argumentative form is a key research field in computational argumentation. Reasoning under various forms of uncertainty is both a key feature and a challenging barrier for automated…

Artificial Intelligence · Computer Science 2024-07-09 Andrei Popescu , Johannes P. Wallner

Argumentation is a very active research field of Artificial Intelligence concerned with the representation and evaluation of arguments used in dialogues between humans and/or artificial agents. Acceptability semantics of formal…

Artificial Intelligence · Computer Science 2025-03-05 Zlatina Mileva , Antonis Bikakis , Fabio Aurelio D'Asaro , Mark Law , Alessandra Russo

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

This paper introduces epistemic graphs as a generalization of the epistemic approach to probabilistic argumentation. In these graphs, an argument can be believed or disbelieved up to a given degree, thus providing a more fine--grained…

Artificial Intelligence · Computer Science 2020-01-15 Anthony Hunter , Sylwia Polberg , Matthias Thimm

MatrixX is a solver for Abstract Argumentation Frameworks. Offensive and defensive properties of an Argumentation Framework are notated in a matrix style. Rows and columns of this matrix are systematically reduced by the solver. This…

Artificial Intelligence · Computer Science 2021-10-01 Maximilian Heinrich

Deep learning has become the dominant approach for creating high capacity, scalable models across diverse data modalities. However, because these models rely on a large number of learned parameters, tightly couple feature extraction with…

Artificial Intelligence · Computer Science 2026-05-12 Adam Gould , Francesca Toni

This paper presents a novel SAT-based approach for the computation of extensions in abstract argumentation, with focus on preferred semantics, and an empirical evaluation of its performances. The approach is based on the idea of reducing…

Artificial Intelligence · Computer Science 2013-10-24 Federico Cerutti , Paul E. Dunne , Massimiliano Giacomin , Mauro Vallati

We present an approach for representing abstract argumentation frameworks based on an encoding into classical higher-order logic. This provides a uniform framework for computer-assisted assessment of abstract argumentation frameworks using…

Artificial Intelligence · Computer Science 2021-10-19 Alexander Steen , David Fuenmayor

After Dung's founding work in Abstract Argumentation Frameworks there has been a growing interest in extending the Dung's semantics in order to describe more complex or real life situations. Several of these approaches take the direction of…

Artificial Intelligence · Computer Science 2018-10-02 Theofrastos Mantadelis , Stefano Bistarelli

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

A semantic tableau method, called an argumentation tableau, that enables the derivation of arguments, is proposed. First, the derivation of arguments for standard propositional and predicate logic is addressed. Next, an extension that…

Artificial Intelligence · Computer Science 2022-09-13 Nico Roos

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 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

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

We apply ideas from abstract argumentation theory to study cooperative game theory. Building on Dung's results in his seminal paper, we further the correspondence between Dung's four argumentation semantics and solution concepts in…

Computer Science and Game Theory · Computer Science 2020-01-06 Anthony P. Young , David Kohan Marzagao , Josh Murphy

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

Abstract argumentation provides us with methods such as gradual and Dung semantics with which to evaluate arguments after potential attacks by other arguments. Some of these methods can take intrinsic strengths of arguments as input, with…

Artificial Intelligence · Computer Science 2021-09-02 Jeroen Paul Spaans