0-1 Integer Programming for Computing Semi-Stable Semantics of Argumentation Frameworks

Authors

  • Mauricio Osorio Universidad de las Américas Puebla, Cholula, Puebla
  • Juan Díaz Universidad de las Américas Puebla, Cholula, Puebla
  • Alejandro Santoyo Universidad Autónoma de Querétaro, Querétaro

DOI:

https://doi.org/10.13053/cys-1-3-2230

Keywords:

Argumentation frameworks, binary programming, answer set programming, semi stable semantics.

Abstract

Dung's abstract argumentation has been object of intense study not just for its relationship with logical reasoning but also for its uses within artificial intelligence. One research branch in abstract argumentation has focused on finding new methods for computing its different semantics. We present a novel method, to the best of our knowledge, for computing semi-stable semantics using 0-1 integer programming. This approach captures the notions of conflict freeness, acceptability, maximality with regard to set inclusion, etc., by 0-1 integer constraints. Additionally, this work also presents an empirical experiment to compare this novel approach with an answer set programming approach. Our results indicate that this new method performed well, and it has a great opportunity space for improving.

Author Biography

Alejandro Santoyo, Universidad Autónoma de Querétaro, Querétaro

Profesor de Tiempo CompletoFacultad de Contabilidad y Administracion

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Published

2016-12-26

Issue

Vol. 21 No. 3 (2017): Thematic issue: Advances in Logic-based Methods for Intelligent Systems (J. C. Nieves, E. Hermann Haeusler, B. Lopes)

Section

Articles of the Thematic Issue

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