Title
Algorithms for argumentation semantics: labeling attacks as a generalization of labeling arguments
Abstract
A Dung argumentation framework (AF) is a pair (A,R): A is a set of abstract arguments and R ⊆ A×A is a binary relation, so-called the attack relation, for capturing the conflicting arguments. \"Labeling\" based algorithms for enumerating extensions (i.e. sets of acceptable arguments) have been set out such that arguments (i.e. elements of A) are the only subject for labeling. In this paper we present implemented algorithms for listing extensions by labeling attacks (i.e. elements of R) along with arguments. Specifically, these algorithms are concerned with enumerating all extensions of an AF under a number of argumentation semantics: preferred, stable, complete, semi stable, stage, ideal and grounded. Our algorithms have impact, in particular, on enumerating extensions of AF-extended models that allow attacks on attacks. To demonstrate this impact, we instantiate our algorithms for an example of such models: namely argumentation frameworks with recursive attacks (AFRA), thereby we end up with unified algorithms that enumerate extensions of any AF/AFRA.
Year
DOI
Venue
2014
10.1613/jair.4308
J. Artif. Intell. Res. (JAIR)
Field
DocType
Volume
Argumentation framework,Binary relation,Computer science,Argumentation theory,Algorithm,Theoretical computer science,Artificial intelligence,Argumentation semantics,Recursion,Machine learning
Journal
49
Issue
ISSN
Citations 
1
1076-9757
6
PageRank 
References 
Authors
0.43
28
3
Name
Order
Citations
PageRank
Samer Nofal1544.85
Katie Atkinson284977.06
Paul E. Dunne31700112.42