Title
On Preferences and Priority Rules in Abstract Argumentation.
Abstract
Dung's abstract Argumentation Framework (AF) has emerged as a central formalism for argumentation in AI. Preferences in AF allow to represent the comparative strength of arguments in a simple yet expressive way. In this paper we first investigate the complexity of the verification as well as credulous and skeptical acceptance problems in Preference-based AF (PAF) that extends AF with preferences over arguments. Next, after introducing new semantics for AF where extensions are selected using cardinality (instead of set inclusion) criteria and investigating their complexity, we introduce a framework called AF with Priority rules (AFP) that extends AF with sequences of priority rules. AFP generalizes AF with classical set-inclusion and cardinality based semantics, suggesting that argumentation semantics can be viewed as ways to express priorities among extensions. Finally, we extend AFP by proposing AF with Priority rules and Preferences (AFP^2), where also preferences over arguments can be used to define priority rules, and study the complexity of the above-mentioned problems.
Year
DOI
Venue
2022
10.24963/ijcai.2022/349
European Conference on Artificial Intelligence
Keywords
DocType
Citations 
Knowledge Representation and Reasoning: Argumentation
Conference
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Gianvincenzo Alfano187.17
Sergio Greco21249265.35
Francesco Parisi300.34
Irina Trubitsyna411924.66