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In this work, we show that both logic programming and abstract argumentation frameworks can be interpreted in terms of Nelson's constructive logic N4. We do so by formalizing, in this logic, two principles that we call non-contradictory…

Artificial Intelligence · Computer Science 2022-03-29 Jorge Fandinno , Luis Fariñas del Cerro

An \textit{abstract argumentation framework} ({\sc af} for short) is a directed graph $(A,R)$ where $A$ is a set of \textit{abstract arguments} and $R\subseteq A \times A$ is the \textit{attack} relation. Let $H=(A,R)$ be an {\sc af}, $S…

Data Structures and Algorithms · Computer Science 2021-09-15 Samer Nofal , Amani Abu Jabal , Abdullah Alfarrarjeh , Ismail Hababeh

Weighted bipolar argumentation frameworks offer a tool for decision support and social media analysis. Arguments are evaluated by an iterative procedure that takes initial weights and attack and support relations into account. Until…

Artificial Intelligence · Computer Science 2019-03-04 Nico Potyka

In this position paper, we propose a reasoning framework that can model the reasoning process underlying natural language inferences. The framework is based on the semantic tableau method, a well-studied proof system in formal logic. Like…

Computation and Language · Computer Science 2025-02-10 Lasha Abzianidze

The lack of annotated data on professional argumentation and complete argumentative debates has led to the oversimplification and the inability of approaching more complex natural language processing tasks. Such is the case of the automatic…

Computation and Language · Computer Science 2024-01-23 Ramon Ruiz-Dolz , Stella Heras , Ana García-Fornes

Some abstract argumentation approaches consider that arguments have a degree of uncertainty, which impacts on the degree of uncertainty of the extensions obtained from a abstract argumentation framework (AAF) under a semantics. In these…

Artificial Intelligence · Computer Science 2020-09-21 Mariela Morveli-Espinoza , Juan Carlos Nieves , Cesar Augusto Tacla

A new analytic framework is first formalized via the usage of the Monadology (Leibniz 1898), to expand the understanding of Zermelo-Fraenkel-choice set theory (ZFC) and Von Neumann-Bernays-Godel set theory (NBG). Implicitly, the framework…

Information Theory · Computer Science 2024-04-02 Xiangjun Peng

Gradual argumentation frameworks represent arguments and their relationships in a weighted graph. Their graphical structure and intuitive semantics makes them a potentially interesting tool for interpretable machine learning. It has been…

Machine Learning · Computer Science 2021-06-28 Jonathan Spieler , Nico Potyka , Steffen Staab

Causal inference is a central goal across many scientific disciplines. Over the past several decades, three major frameworks have emerged to formalize causal questions and guide their analysis: the potential outcomes framework, structural…

Statistics Theory · Mathematics 2026-02-12 Linbo Wang , Thomas Richardson , James Robins

We focus on the extension of bivariate causal learning methods into multivariate problem settings in a systematic manner via a novel framework. It is purposive to augment the scale to which bivariate causal discovery approaches can be…

Methodology · Statistics 2023-05-29 Hongyi Chen , Maurits Kaptein

We introduce stratified labelings as a novel semantical approach to abstract argumentation frameworks. Compared to standard labelings, stratified labelings provide a more fine-grained assessment of the controversiality of arguments using…

Artificial Intelligence · Computer Science 2013-08-06 Matthias Thimm , Gabriele Kern-Isberner

ASPIC-style structured argumentation frameworks provide a formal basis for reasoning in artificial intelligence by combining internal argument structure with abstract argumentation semantics. A key challenge in these frameworks is ensuring…

Artificial Intelligence · Computer Science 2026-04-24 Marcos Cramer , Tom Friese

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

We introduce Gradual Abstract Argumentation for Case-Based Reasoning (Gradual AA-CBR), a data-driven, neurosymbolic classification model in which the outcome is determined by an argumentation debate structure that is learned simultaneously…

Artificial Intelligence · Computer Science 2025-05-22 Adam Gould , Francesca Toni

In the context of abstract argumentation, we present the benefits of considering temporality, i.e. the order in which arguments are enunciated, as well as causality. We propose a formal method to rewrite the concepts of acyclic abstract…

Artificial Intelligence · Computer Science 2024-02-07 Y. Munro , C. Sarmiento , I. Bloch , G. Bourgne , M. -J. Lesot

We present a novel abstractive summarization framework that draws on the recent development of a treebank for the Abstract Meaning Representation (AMR). In this framework, the source text is parsed to a set of AMR graphs, the graphs are…

Computation and Language · Computer Science 2018-05-29 Fei Liu , Jeffrey Flanigan , Sam Thomson , Norman Sadeh , Noah A. Smith

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

Assumption-Based Argumentation (ABA) is an argumentation framework that has been proposed in the late 20th century. Since then, there was still no solver implemented in a programming language which is easy to setup and no solver have been…

Artificial Intelligence · Computer Science 2016-12-15 Kenrick

In this paper, we present a preliminary work on an approach to fill the gap between logic-based argumentation and the numerous approaches to tackle the dynamics of abstract argumentation frameworks. Our idea is that, even when arguments and…

Artificial Intelligence · Computer Science 2016-03-30 Jean-Guy Mailly

In the last years, there has been an increasing demand of a variety of logical systems, prompted mostly by applications of logic in AI and other related areas. Labeled Deductive Systems (LDS) were developed as a flexible methodology to…

Artificial Intelligence · Computer Science 2007-05-23 Carlos Iván Chesñevar , Guillermo Ricardo Simari
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