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  1. Annals of Mathematics and Artificial Intelligence
  2. Annals of Mathematics and Artificial Intelligence : Volume 69
  3. Annals of Mathematics and Artificial Intelligence : Volume 69, Issue 1, September 2013
  4. Argumentation frameworks as constraint satisfaction problems
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Annals of Mathematics and Artificial Intelligence : Volume 80
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Annals of Mathematics and Artificial Intelligence : Volume 70
Annals of Mathematics and Artificial Intelligence : Volume 69
Annals of Mathematics and Artificial Intelligence : Volume 69, Issue 4, December 2013
Annals of Mathematics and Artificial Intelligence : Volume 69, Issue 3, November 2013
Annals of Mathematics and Artificial Intelligence : Volume 69, Issue 2, October 2013
Annals of Mathematics and Artificial Intelligence : Volume 69, Issue 1, September 2013
Editorial introduction to the special issue
T-DeLP: an argumentation-based Temporal Defeasible Logic Programming framework
Query answering under probabilistic uncertainty in Datalog+ / − ontologies
Confluence operators and their relationships with revision, update and merging
Using argument strength for building dialectical bonsai
Argumentation frameworks as constraint satisfaction problems
Annals of Mathematics and Artificial Intelligence : Volume 68
Annals of Mathematics and Artificial Intelligence : Volume 67
Annals of Mathematics and Artificial Intelligence : Volume 66
Annals of Mathematics and Artificial Intelligence : Volume 65
Annals of Mathematics and Artificial Intelligence : Volume 64
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Argumentation frameworks as constraint satisfaction problems

Content Provider Springer Nature Link
Author Devred, Caroline Amgoud, Leila
Copyright Year 2013
Abstract Argumentation is a promising approach for defeasible reasoning. It consists of justifying each plausible conclusion by arguments. Since the available information may be inconsistent, a conclusion and its negation may both be justified. The arguments are thus said to be conflicting. The main issue is how to evaluate the arguments. Several semantics were proposed for that purpose. The most important ones are: stable, preferred, complete, grounded and admissible. A semantics is a set of criteria that should be satisfied by a set of arguments, called extension, in order to be acceptable. Different decision problems related to these semantics were defined (like whether an argumentation framework has a stable extension). It was also shown that most of these problems are intractable. Consequently, developing algorithms for these problems is not trivial and thus the implementation of argumentation systems not obvious. Recently, some solutions to this problem were found. The idea is to use a reduction method where a given problem is translated in another one like SAT or ASP. This paper follows this line of research. It studies how to encode the problem of computing the extensions of an argumentation framework (under each of the previous semantics) as a constraint satisfaction problem (CSP). Such encoding is of great importance since it makes it possible to use the very efficient solvers (developed by the CSP community) for computing the extensions. Our encodings take advantage of existing reductions to SAT problems in the case of Dung’s abstract framework. Among the various ways of translating a SAT problem into a CSP one, we propose the most appropriate one in the argumentation context. We also provide encodings in case two other families of argumentation frameworks: the constrained version of Dung’s abstract framework and preference-based argumentation framework.
Ending Page 148
Page Count 18
Starting Page 131
File Format PDF
ISSN 10122443
e-ISSN 15737470
Journal Annals of Mathematics and Artificial Intelligence
Issue Number 1
Volume Number 69
Language English
Publisher Springer International Publishing
Publisher Date 2013-03-22
Publisher Place Cham
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Non-monotonic Reasoning CSP Argumentation Problem solving (heuristics, search strategies, etc.) Computer Science Artificial Intelligence (incl. Robotics) Mathematics Statistical Physics, Dynamical Systems and Complexity Artificial intelligence
Content Type Text
Resource Type Article
Subject Applied Mathematics Artificial Intelligence
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