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We consider the notion of a vacuous reduct semantics for abstract argumentation frameworks, which, given two abstract argumentation semantics {\sigma} and {\tau}, refines {\sigma} (base condition) by accepting only those {\sigma}-extensions…

Artificial Intelligence · Computer Science 2024-08-27 Lydia Blümel , Matthias Thimm

We want to investigate 'spaces' where paths have a 'weight', or 'cost', expressing length, duration, price, energy, etc. The weight function is not assumed to be invariant up to path-reversion. Thus, 'weighted algebraic topology' can be…

Algebraic Topology · Mathematics 2007-05-23 Marco Grandis

There is knowledge. There is belief. And there is tacit agreement.' 'We may talk about objects. We may talk about attributes of the objects. Or we may talk both about objects and their attributes.' This work inspects tacit agreements on…

Artificial Intelligence · Computer Science 2014-04-25 Ryuta Arisaka

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

Argumentation is a promising model for reasoning with uncertain knowledge. The key concept of acceptability enables to differentiate arguments and counterarguments: The certainty of a proposition can then be evaluated through the most…

Artificial Intelligence · Computer Science 2013-02-01 Leila Amgoud , Claudette Cayrol

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

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

Among the most general structures extending the framework by Dung are the abstract dialectical frameworks (ADFs). They come equipped with various types of semantics, with the most prominent - the labeling-based one - analyzed in the context…

Artificial Intelligence · Computer Science 2016-07-05 Sylwia Polberg

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

In recent years, large language models (LLMs) have made significant advancements in developing human-like and engaging dialogue systems. However, in tasks such as consensus-building and persuasion, LLMs often struggle to resolve conflicts…

Artificial Intelligence · Computer Science 2025-11-14 Zhaoqun Li , Xiaotong Fang , Chen Chen , Mengze Li , Beishui Liao

In abstract argumentation theory, many argumentation semantics have been proposed for evaluating argumentation frameworks. This paper is based on the following research question: Which semantics corresponds well to what humans consider a…

Artificial Intelligence · Computer Science 2019-08-23 Marcos Cramer , Leendert van der Torre

In this paper, we propose a fresh perspective on argumentation semantics, to view them as a relational database. It offers encapsulation of the underlying argumentation graph, and allows us to understand argumentation semantics under a…

Artificial Intelligence · Computer Science 2021-04-27 Ryuta Arisaka , Takayuki Ito

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

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

The categorical compositional distributional model of natural language provides a conceptually motivated procedure to compute the meaning of sentences, given grammatical structure and the meanings of its words. This approach has…

Computation and Language · Computer Science 2016-01-26 Desislava Bankova , Bob Coecke , Martha Lewis , Daniel Marsden

Automated grading systems can efficiently score short-answer responses, yet they often fail to indicate when a grading decision is uncertain or potentially contentious. We introduce semantic entropy, a measure of variability across multiple…

Artificial Intelligence · Computer Science 2025-08-07 Karrtik Iyer , Manikandan Ravikiran , Prasanna Pendse , Shayan Mohanty

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 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

We propose and investigate a simple ranking-measure-based extension semantics for abstract argumentation frameworks based on their generic instantiation by default knowledge bases and the ranking construction semantics for default…

Artificial Intelligence · Computer Science 2014-07-17 Emil Weydert

After a few decades of development, computational argumentation has become one of the active realms in AI. This paper considers extension-based concrete and abstract semantics of argumentation. For concrete ones, based on Grossi and…

Artificial Intelligence · Computer Science 2021-05-21 Lixing Tan , Zhaohui Zhu , Jinjin Zhang