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This paper builds on the recent ASPIC+ formalism, to develop a general framework for argumentation with preferences. We motivate a revised definition of conflict free sets of arguments, adapt ASPIC+ to accommodate a broader range of…

Artificial Intelligence · Computer Science 2018-04-19 Sanjay Modgil , Henry Prakken

In argumentative discourse, persuasion is often achieved by refuting or attacking others arguments. Attacking is not always straightforward and often comprise complex rhetorical moves such that arguers might agree with a logic of an…

Computation and Language · Computer Science 2022-04-05 Farjana Sultana Mim , Naoya Inoue , Shoichi Naito , Keshav Singh , Kentaro Inui

Argumentation is based on the exchange and valuation of interacting arguments, followed by the selection of the most acceptable of them (for example, in order to take a decision, to make a choice). Starting from the framework proposed by…

Artificial Intelligence · Computer Science 2011-07-04 C. Cayrol , M. C. Lagasquie-Schiex

Recent advances in Large Language Models have demonstrated their capabilities across a variety of tasks. However, automatically extracting implicit knowledge from natural language remains a significant challenge, as machines lack active…

Artificial Intelligence · Computer Science 2026-03-06 Anna Sofia Lippolis , Andrea Giovanni Nuzzolese , Aldo Gangemi

Abstract Dialectical Frameworks (ADFs) are argumentation frameworks where each node is associated with an acceptance condition. This allows us to model different types of dependencies as supports and attacks. Previous studies provided a…

Artificial Intelligence · Computer Science 2019-07-24 João Alcântara , Samy Sá , Juan Acosta-Guadarrama

In computational argumentation, gradual semantics are fine-grained alternatives to extension-based and labelling-based semantics . They ascribe a dialectical strength to (components of) arguments sanctioning their degree of acceptability.…

Artificial Intelligence · Computer Science 2025-08-04 Anna Rapberger , Fabrizio Russo , Antonio Rago , Francesca Toni

An extension of an abstract argumentation framework, called collective argumentation, is introduced in which the attack relation is defined directly among sets of arguments. The extension turns out to be suitable, in particular, for…

Artificial Intelligence · Computer Science 2007-05-23 Alexander Bochman

Graph neural networks (GNNs) are powerful graph-based deep-learning models that have gained significant attention and demonstrated remarkable performance in various domains, including natural language processing, drug discovery, and…

Machine Learning · Computer Science 2023-06-06 Jaykumar Kakkad , Jaspal Jannu , Kartik Sharma , Charu Aggarwal , Sourav Medya

E-graphs are a data structure that compactly represents equivalent expressions. They are constructed via the repeated application of rewrite rules. Often in practical applications, conditional rewrite rules are crucial, but their…

Data Structures and Algorithms · Computer Science 2023-08-16 Samuel Coward , George A. Constantinides , Theo Drane

Graph-based semantic representations are valuable in natural language processing, where it is often simple and effective to represent linguistic concepts as nodes, and relations as edges between them. Several attempts has been made to find…

Formal Languages and Automata Theory · Computer Science 2021-05-10 Johanna Björklund , Frank Drewes , Anna Jonsson

Abstract argumentation frameworks are formal systems that facilitate obtaining conclusions from non-monotonic knowledge systems. Within such a system, an argumentation semantics is defined as a set of arguments with some desired qualities,…

Artificial Intelligence · Computer Science 2018-08-14 Renata Wong

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

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

We study invariant local expansion operators for conflict-free and admissible sets in Abstract Argumentation Frameworks (AFs). Such operators are directly applied on AFs, and are invariant with respect to a chosen "semantics" (that is…

Artificial Intelligence · Computer Science 2018-08-01 Stefano Bistarelli , Francesco Santini , Carlo Taticchi

The knowledge graph is a structure to store and represent knowledge, and recent studies have discussed its capability to assist language models for various applications. Some variations of knowledge graphs aim to record arguments and their…

Computation and Language · Computer Science 2023-12-05 Jingcong Liang , Rong Ye , Meng Han , Qi Zhang , Ruofei Lai , Xinyu Zhang , Zhao Cao , Xuanjing Huang , Zhongyu Wei

Formal argumentation is being used increasingly in artificial intelligence as an effective and understandable way to model potentially conflicting pieces of information, called arguments, and identify so-called acceptable arguments…

Artificial Intelligence · Computer Science 2026-03-09 Yann Munro , Isabelle Bloch , Marie-Jeanne Lesot

Advances in natural language processing have resulted in increased capabilities with respect to multiple tasks. One of the possible causes of the observed performance gains is the introduction of increasingly sophisticated text…

Computation and Language · Computer Science 2020-11-19 Sarah Tymochko , Zachary New , Lucius Bynum , Emilie Purvine , Timothy Doster , Julien Chaput , Tegan Emerson

We show that deciding whether an argument a is stronger than an argument b with respect to the discussion-based semantics of Amgoud and Ben-Naim is decidable in polynomial time. At its core, this problem is about deciding whether, for two…

Artificial Intelligence · Computer Science 2026-04-21 Lydia Blümel , Kai Sauerwald , Kenneth Skiba , Matthias Thimm

In quantum logical terms, Hardy-type arguments can be uniformly presented and extended as collections of intertwined contexts and their observables. If interpreted classically those structures serve as graph-theoretic "gadgets" that enforce…

Quantum Physics · Physics 2023-06-29 Karl Svozil

Argumentation theory is a powerful paradigm that formalizes a type of commonsense reasoning that aims to simulate the human ability to resolve a specific problem in an intelligent manner. A classical argumentation process takes into account…

Artificial Intelligence · Computer Science 2019-03-06 Maximiliano C. D. Budán , Gerardo I. Simari , Ignacio Viglizzo , Guillermo R. Simari