Abstract Argumentation via Monadic Second Order Logic

Abstract Argumentation via Monadic Second Order Logic

Abstract

We propose the formalism of Monadic Second Order Logic (MSO) as a unifying framework for representing and reasoning with various semantics of abstract argumentation. We express a wide range of semantics within the proposed framework, including the standard semantics due to Dung, semi-stable, stage, cf2, and resolution-based semantics. We provide building blocks which make it easy and straight-forward to express further semantics and reasoning tasks. Our results show that MSO can serve as a lingua franca for abstract argumentation that directly yields to complexity results. In particular, we obtain that for argumentation frameworks with certain structural properties the main computational problems with respect to MSO-expressible semantics can all be solved in linear time. Furthermore, we provide a novel characterization of resolution-based grounded semantics.

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Authors
  • Dvořák, Wolfgang
  • Szeider, Stefan
  • Woltran, Stefan
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Shortfacts
Category
Paper in Conference Proceedings or in Workshop Proceedings (Paper)
Event Title
6th International Conference on Scalable Uncertainty Management (SUM 2012)
Divisions
Theory and Applications of Algorithms
Event Location
Marburg, Germany
Event Type
Conference
Event Dates
17-19 Sep 2012
Series Name
Lecture Notes in Computer Science
Publisher
Springer
Page Range
pp. 85-98
Date
2012
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