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

Abstract: Dung’s abstract argumentation has been an object of intense study not only due to its relationship with logical reasoning but also because of 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 our novel approach with an answer set programming approach. Our results indicate that the new method performed well, and it has a great opportunity space for improving.

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Bibliographic Details
Main Authors: Osorio,Mauricio, Díaz,Juan, Santoyo,Alejandro
Format: Digital revista
Language:English
Published: Instituto Politécnico Nacional, Centro de Investigación en Computación 2017
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1405-55462017000300457
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Summary:Abstract: Dung’s abstract argumentation has been an object of intense study not only due to its relationship with logical reasoning but also because of 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 our novel approach with an answer set programming approach. Our results indicate that the new method performed well, and it has a great opportunity space for improving.