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In formal argumentation, a distinction can be made between extension-based semantics, where sets of arguments are either (jointly) accepted or not, and ranking-based semantics, where grades of acceptability are assigned to arguments.…

Artificial Intelligence · Computer Science 2023-08-01 Jesse Heyninck , Badran Raddaoui , Christian Straßer

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…

Artificial Intelligence · Computer Science 2025-05-01 Kenneth Skiba , Tjitze Rienstra , Matthias Thimm , Jesse Heyninck , Gabriele Kern-Isberner

Argumentation is a process of evaluating and comparing a set of arguments. A way to compare them consists in using a ranking-based semantics which rank-order arguments from the most to the least acceptable ones. Recently, a number of such…

Artificial Intelligence · Computer Science 2016-02-03 Elise Bonzon , Jérôme Delobelle , Sébastien Konieczny , Nicolas Maudet

In this paper, we introduce a new family of argument-ranking semantics which can be seen as a refinement of the classification of arguments into skeptically accepted, credulously accepted and rejected. To this end we use so-called social…

Artificial Intelligence · Computer Science 2024-12-19 Lars Bengel , Giovanni Buraglio , Jan Maly , Kenneth Skiba

Recently, ranking-based semantics is proposed to rank-order arguments from the most acceptable to the weakest one(s), which provides a graded assessment to arguments. In general, the ranking on arguments is derived from the strength values…

Artificial Intelligence · Computer Science 2014-12-04 Fuan Pu , Jian Luo , Yulai Zhang , Guiming Luo

ConArg is a suite of tools that offers a wide series of applications for dealing with argumentation problems. In this work, we present the advances we made in implementing a ranking-based semantics, based on computational choice power…

Artificial Intelligence · Computer Science 2023-06-16 Stafano Bistarelli , Francesco Faloci , Carlo Taticchi

Dung's abstract argumentation framework consists of a set of interacting arguments and a series of semantics for evaluating them. Those semantics partition the powerset of the set of arguments into two classes: extensions and…

Artificial Intelligence · Computer Science 2015-09-14 Fuan Pu , Jian Luo , Guiming Luo

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…

Artificial Intelligence · Computer Science 2014-07-17 Emil Weydert

In this paper we propose a general approach to define a many-valued preferential interpretation of gradual argumentation semantics. The approach allows for conditional reasoning over arguments and boolean combination of arguments, with…

Artificial Intelligence · Computer Science 2025-06-10 Mario Alviano , Laura Giordano , Daniele Theseider Dupré

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

Gradual semantics with abstract argumentation provide each argument with a score reflecting its acceptability, i.e. how "much" it is attacked by other arguments. Many different gradual semantics have been proposed in the literature, each…

Artificial Intelligence · Computer Science 2022-02-02 Nir Oren , Bruno Yun , Srdjan Vesic , Murilo Baptista

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

Dung's abstract framework for argumentation enables a study of the interactions between arguments based solely on an ``attack'' binary relation on the set of arguments. Various ways to solve conflicts between contradictory pieces of…

Artificial Intelligence · Computer Science 2007-05-23 C. Cayrol , S. Doutre , M. -C. Lagasquie-Schiex , J. Mengin

In this paper, we propose a fresh perspective on argumentation semantics, to view them as a relational database. It offers encapsulation of the underlying argumentation graph, and allows us to understand argumentation semantics under a…

Artificial Intelligence · Computer Science 2021-04-27 Ryuta Arisaka , Takayuki Ito

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

In this paper we provide a unifying description of different types of semantics of modal logic found in the literature via the framework of topological categories. In the style of categorical logic, we establish an exact correspondence…

Category Theory · Mathematics 2023-08-01 Lingyuan Ye

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

In this paper, an application of automated theorem proving techniques to computational semantics is considered. In order to compute the presuppositions of a natural language discourse, several inference tasks arise. Instead of treating…

Computation and Language · Computer Science 2007-05-23 Christof Monz

Argumentation is a very active research field of Artificial Intelligence concerned with the representation and evaluation of arguments used in dialogues between humans and/or artificial agents. Acceptability semantics of formal…

Artificial Intelligence · Computer Science 2025-03-05 Zlatina Mileva , Antonis Bikakis , Fabio Aurelio D'Asaro , Mark Law , Alessandra Russo

We introduce a new semantics for justification logic based on subset relations. Instead of using the established and more symbolic interpretation of justifications, we model justifications as sets of possible worlds. We introduce a new…

Logic · Mathematics 2020-08-19 Eveline Lehmann , Thomas Studer
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