A Reasoning Model Based on the Production of Acceptable Arguments
Annals of Mathematics and Artificial Intelligence
Prudent Semantics for Argumentation Frameworks
ICTAI '05 Proceedings of the 17th IEEE International Conference on Tools with Artificial Intelligence
Argumentation in artificial intelligence
Artificial Intelligence
Computing ideal sceptical argumentation
Artificial Intelligence
Elements of Argumentation
International Journal of Approximate Reasoning
Reasoning about preferences in argumentation frameworks
Artificial Intelligence
Proceedings of the 2006 conference on Computational Models of Argument: Proceedings of COMMA 2006
Argumentation in Artificial Intelligence
Argumentation in Artificial Intelligence
SCC-recursiveness: a general schema for argumentation semantics
Artificial Intelligence
The computational complexity of ideal semantics
Artificial Intelligence
An Algorithm for Stage Semantics
Proceedings of the 2010 conference on Computational Models of Argument: Proceedings of COMMA 2010
Towards (Probabilistic) Argumentation for Jury-based Dispute Resolution
Proceedings of the 2010 conference on Computational Models of Argument: Proceedings of COMMA 2010
Weighted argument systems: Basic definitions, algorithms, and complexity results
Artificial Intelligence
A new approach for preference-based argumentation frameworks
Annals of Mathematics and Artificial Intelligence
Probabilistic argumentation frameworks
TAFA'11 Proceedings of the First international conference on Theory and Applications of Formal Argumentation
A probabilistic approach to modelling uncertain logical arguments
International Journal of Approximate Reasoning
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Probabilistic abstract argumentation combines Dung's abstract argumentation framework with probability theory in order to model uncertainty in argumentation. In this setting, we address the fundamental problem of computing the probability that a set of arguments is an extension according to a given semantics. We focus on the most popular semantics (i.e., admissible, stable, complete, grounded, preferred, ideal), and show the following dichotomy result: computing the probability that a set of arguments is an extension is either PTIME or FP#P -complete depending on the semantics adopted. Our PTIME results are particularly interesting, as they hold for some semantics for which no polynomial-time technique was known so far.