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Formal logic has often been seen as uniquely placed to analyze mathematical argumentation. While formal logic is certainly necessary for a complete understanding of mathematical practice, it is not sufficient. Important aspects of…

历史与综述 · 数学 2024-05-06 Andrew Aberdein , Zoe Ashton

In this paper we discuss contrastive explanations for formal argumentation - the question why a certain argument (the fact) can be accepted, whilst another argument (the foil) cannot be accepted under various extension-based semantics. The…

人工智能 · 计算机科学 2022-01-26 AnneMarie Borg , Floris Bex

In this paper we show how the defense relation among abstract arguments can be used to encode the reasons for accepting arguments. After introducing a novel notion of defenses and defense graphs, we propose a defense semantics together with…

人工智能 · 计算机科学 2017-08-03 Beishui Liao , Leendert van der Torre

This research advocates the idea of combining argumentation theory with the social web technology, aiming to enact large scale or mass argumentation. The proposed framework allows mass-collaborative editing of structured arguments in the…

人工智能 · 计算机科学 2013-04-23 Adrian Groza , Sergiu Indrie

Answer set programming (ASP) is a logic programming paradigm that can be used to solve complex combinatorial search problems. Aggregates are an ASP construct that plays an important role in many applications. Defining a satisfactory…

人工智能 · 计算机科学 2008-12-09 Paolo Ferraris

We introduce matrix and its block to the Dung's theory of argumentation frameworks. It is showed that each argumentation framework has a matrix representation, and the common extension-based semantics of argumentation framework can be…

信息论 · 计算机科学 2011-10-20 Xu Yuming

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…

人工智能 · 计算机科学 2014-07-17 Emil Weydert

This chapter provides an overview of research works that present approaches with some degree of cross-fertilisation between Computational Argumentation and Machine Learning. Our review of the literature identified two broad themes…

人工智能 · 计算机科学 2024-11-01 Antonio Rago , Kristijonas Čyras , Jack Mumford , Oana Cocarascu

In Dung's abstract argumentation, arguments are either acceptable or unacceptable, given a chosen notion of acceptability. This gives a coarse way to compare arguments. In this paper, we propose a counting approach for a more fine-gained…

人工智能 · 计算机科学 2015-07-21 Fuan Pu , Jian Luo , Yulai Zhang , Guiming Luo

This extended abstract gives a brief outline of the connections between the descriptions and variable concepts. Thus, the notion of a concept is extended to include both the syntax and semantics features. The evaluation map in use is…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Viacheslav Wolfengagen

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…

人工智能 · 计算机科学 2014-01-17 Wolfgang Dvorak , Stefan Woltran

This paper offers an approach to extensible knowledge representation and reasoning for a family of formalisms known as Description Logics. The approach is based on the notion of adding new concept constructors, and includes a heuristic…

人工智能 · 计算机科学 2011-05-30 A. Borgida

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…

人工智能 · 计算机科学 2022-03-29 Jorge Fandinno , Luis Fariñas del Cerro

Argumentation is a type of discourse where speakers try to persuade their audience about the reasonableness of a claim by presenting supportive arguments. Most work in argument mining has focused on modeling arguments in monologues. We…

计算与语言 · 计算机科学 2020-05-01 Tuhin Chakrabarty , Christopher Hidey , Smaranda Muresan , Kathy Mckeown , Alyssa Hwang

In this paper, we discuss necessary and sufficient explanations for formal argumentation - the question whether and why a certain argument can be accepted (or not) under various extension-based semantics. Given a framework with which…

人工智能 · 计算机科学 2020-11-05 AnneMarie Borg , Floris Bex

We study instantiated abstract argumentation frames of the form $(S,R,I)$, where $(S,R)$ is an abstract argumentation frame and where the arguments $x$ of $S$ are instantiated by $I(x)$ as well formed formulas of a well known logic, for…

人工智能 · 计算机科学 2015-04-28 D. M. Gabbay

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…

人工智能 · 计算机科学 2019-03-06 Maximiliano C. D. Budán , Gerardo I. Simari , Ignacio Viglizzo , Guillermo R. Simari

Explainable Artificial Intelligence and Formal Argumentation have received significant attention in recent years. Argumentation-based systems often lack explainability while supporting decision-making processes. Counterfactual and…

人工智能 · 计算机科学 2024-05-08 Gianvincenzo Alfano , Sergio Greco , Francesco Parisi , Irina Trubitsyna

Abstract argumentation framework (\AFname) is a unifying framework able to encompass a variety of nonmonotonic reasoning approaches, logic programming and computational argumentation. Yet, efficient approaches for most of the decision and…

Justification theory is a unifying framework for semantics of non-monotonic logics. It is built on the notion of a justification, which intuitively is a graph that explains the truth value of certain facts in a structure. Knowledge…

计算机科学中的逻辑 · 计算机科学 2019-05-16 Simon Marynissen