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This paper develops a new approach to computational argumentation that is informed by philosophical and linguistic views. Namely, it takes into account two ideas that have received little attention in the literature on computational…

人工智能 · 计算机科学 2026-02-04 Michael A. Müller , Srdjan Vesic , Bruno Yun

This paper defines an argumentation semantics for extended logic programming and shows its equivalence to the well-founded semantics with explicit negation. We set up a general framework in which we extensively compare this semantics to…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Ralf Schweimeier , Michael Schroeder

Abstract argumentation frameworks (AFs) provide a formal setting to analyze many forms of reasoning with conflicting information. While the expressiveness of general infinite AFs make them a tempting tool for modeling many kinds of…

人工智能 · 计算机科学 2025-08-26 Uri Andrews , Luca San Mauro

In this paper, we present a general framework for ranking sets of arguments in abstract argumentation based on their plausibility of acceptance. We present a generalisation of Dung's extension semantics as extension-ranking semantics, which…

人工智能 · 计算机科学 2025-05-01 Kenneth Skiba , Tjitze Rienstra , Matthias Thimm , Jesse Heyninck , Gabriele Kern-Isberner

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…

人工智能 · 计算机科学 2016-03-30 Jean-Guy Mailly

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…

计算机科学中的逻辑 · 计算机科学 2010-09-24 Andrew Gacek , Dale Miller , Gopalan Nadathur

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…

Modelling qualitative uncertainty in formal argumentation is essential both for practical applications and theoretical understanding. Yet, most of the existing works focus on \textit{abstract} models for arguing with uncertainty. Following…

人工智能 · 计算机科学 2026-02-18 Carlo Proietti , Antonio Yuste-Ginel

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…

人工智能 · 计算机科学 2026-03-09 Yann Munro , Isabelle Bloch , Marie-Jeanne Lesot

There are various interesting semantics' (extensions) designed for argumentation frameworks. They enable to assign a meaning, e.g., to odd-length cycles. Our main motivation is to transfer semantics' proposed by Baroni, Giacomin and Guida…

计算机科学中的逻辑 · 计算机科学 2011-08-29 Monika Adamova , Jan Sefranek

We add strong negation $N$ to classical logic and interpret the attack relation of "$x$ attacks $y$" in argumentation as $(x\to Ny)$. We write a corresponding object level (using $N$ only) classical theory for each argumentation network and…

计算机科学中的逻辑 · 计算机科学 2015-06-11 Dov Gabbay , Michael Gabbay

To adequately model mathematical arguments the analyst must be able to represent the mathematical objects under discussion and the relationships between them, as well as inferences drawn about these objects and relationships as the…

计算与语言 · 计算机科学 2018-07-17 Joseph Corneli , Ursula Martin , Dave Murray-Rust , Gabriela Rino Nesin , Alison Pease

The connections among natural language processing and argumentation theory are becoming stronger in the latest years, with a growing amount of works going in this direction, in different scenarios and applying heterogeneous techniques. In…

人工智能 · 计算机科学 2014-05-06 Elena Cabrio , Serena Villata

Dung's abstract argumentation theory is a widely used formalism to model conflicting information and to draw conclusions in such situations. Hereby, the knowledge is represented by so-called argumentation frameworks (AFs) and the reasoning…

人工智能 · 计算机科学 2016-04-01 Ringo Baumann , Thomas Linsbichler , Stefan Woltran

An answer set is a plain set of literals which has no further structure that would explain why certain literals are part of it and why others are not. We show how argumentation theory can help to explain why a literal is or is not contained…

人工智能 · 计算机科学 2020-02-19 Claudia Schulz , Francesca Toni

We introduce a number of logics to reason about collective propositional attitudes that are defined by means of the majority rule. It is well known that majoritarian aggregation is subject to irrationality, as the results in social choice…

计算机科学中的逻辑 · 计算机科学 2017-11-13 Daniele Porello

We define the concept of a logic frame, which extends the concept of an abstract logic by adding the concept of a syntax and an axiom system. In a recursive logic frame the syntax and the set of axioms are recursively coded. A recursive…

逻辑 · 数学 2007-05-23 Saharon Shelah , Jouko Väänänen

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…

人工智能 · 计算机科学 2019-02-28 Marcos Cramer , Mathieu Guillaume

We develop a model of abduction in abstract argumentation, where changes to an argumentation framework act as hypotheses to explain the support of an observation. We present dialogical proof theories for the main decision problems (i.e.,…

人工智能 · 计算机科学 2014-07-16 Richard Booth , Dov Gabbay , Souhila Kaci , Tjitze Rienstra , Leendert van der Torre

This paper continues an established line of research about the relations between argumentation theory, particularly assumption-based argumentation, and different kinds of logic programs. In particular, we extend known result of Caminada,…

人工智能 · 计算机科学 2025-07-09 Jesse Heyninck , Ofer Arieli