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Abstract Dialectical Frameworks (ADFs) generalize Dung's argumentation frameworks allowing various relationships among arguments to be expressed in a systematic way. We further generalize ADFs so as to accommodate arbitrary acceptance…

Artificial Intelligence · Computer Science 2018-09-10 Gerhard Brewka , Jörg Pührer , Hannes Strass , Johannes P. Wallner , Stefan Woltran

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

We propose a novel approach to logic-based learning which generates assumption-based argumentation (ABA) frameworks from positive and negative examples, using a given background knowledge. These ABA frameworks can be mapped onto logic…

Artificial Intelligence · Computer Science 2023-05-26 Maurizio Proietti , Francesca Toni

We translate the argumentation networks ${\cal A}=(S, R)$ into a theory $D$ of intuitionistic logic, retaining $S$ as the domain and using intuitionistic negation to model the attack $R$ in ${\cal A}$: the attack $xRy$ is translated to…

Logic in Computer Science · Computer Science 2015-10-02 Dov Gabbay , Michael Gabbay

Argumentation frameworks (AFs) provide formal approaches for legal reasoning, but identifying sources of ambiguity and explaining argument acceptance remains challenging for non-experts. We present AF-XRAY, an open-source toolkit for…

Artificial Intelligence · Computer Science 2025-07-16 Yilin Xia , Heng Zheng , Shawn Bowers , Bertram Ludäscher

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

Attributing a cyber-operation through the use of multiple pieces of technical evidence (i.e., malware reverse-engineering and source tracking) and conventional intelligence sources (i.e., human or signals intelligence) is a difficult…

Cryptography and Security · Computer Science 2014-04-29 Paulo Shakarian , Gerardo I. Simari , Geoffrey Moores , Simon Parsons , Marcelo A. Falappa

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

The AMR (Abstract Meaning Representation) formalism for representing meaning of natural language sentences was not designed to deal with scope and quantifiers. By extending AMR with indices for contexts and formulating constraints on these…

Computation and Language · Computer Science 2020-10-28 Johan Bos

In abstract argumentation, multiple argumentation semantics have been proposed that allow to select sets of jointly acceptable arguments from a given argumentation framework, i.e. based only on the attack relation between arguments. The…

Artificial Intelligence · Computer Science 2019-02-28 Marcos Cramer , Mathieu Guillaume

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

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

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

Iterated admissibility (IA) can be seen as exhibiting a minimal criterion of rationality in games. In order to make this intuition more precise, the epistemic characterization of this game-theoretic solution has been actively investigated…

Logic · Mathematics 2013-04-19 Fernando Tohmè , Gianluca Caterina , Rocco Gangle

In this paper we provide a first analysis of the research questions that arise when dealing with the problem of communicating pieces of formal argumentation through natural language interfaces. It is a generally held opinion that formal…

Artificial Intelligence · Computer Science 2017-06-14 Federico Cerutti , Alice Toniolo , Timothy J. Norman

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

Assumption-based Argumentation (ABA) is advocated as a unifying formalism for various forms of non-monotonic reasoning, including logic programming. It allows capturing defeasible knowledge, subject to argumentative debate. While, in much…

Artificial Intelligence · Computer Science 2024-11-11 Emanuele De Angelis , Maurizio Proietti , Francesca Toni

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

Recursive relational specifications are commonly used to describe the computational structure of formal systems. Recent research in proof theory has identified two features that facilitate direct, logic-based reasoning about such…

Logic in Computer Science · Computer Science 2010-09-24 Andrew Gacek , Dale Miller , Gopalan Nadathur

Finite automata (FA) are a fundamental computational abstraction that is widely used in practice for various tasks in computer science, linguistics, biology, electrical engineering, and artificial intelligence. Given an input word, an FA…

Artificial Intelligence · Computer Science 2026-04-22 Jaime Cuartas Granada , Alexey Ignatiev , Peter J. Stuckey