Affiliations: [a] Department of Computer and Communication Sciences, Wakayama University, Japan. sakama@sys.wakayama-u.ac.jp | [b] Interdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Luxembourg. tjitze@gmail.com
Correspondence:
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Address for correspondence: Wakayama University, 930 Sakaedani, Wakayama 640-8510, Japan
Abstract: This paper studies representation of argumentation frameworks (AFs) in answer set programming (ASP). Four different transformations from AFs to logic programs are provided under the complete semantics, stable semantics, grounded semantics and preferred semantics. The proposed transformations encode labelling-based argumentation semantics in a simple manner, and different semantics of AFs are uniformly characterized by stable models of transformed programs. We apply transformed programs to solving AF problems such as query-answering, enforcement of arguments, agreement or equivalence of different AFs. Logic programming encodings of AFs are also used for representing assumption-based argumentation (ABA) in ASP. The results of this paper exploit new connections between argumentation theory and logic programming, and enable one to perform various argumentation tasks using existing answer set solvers.
Keywords: argumentation framework, answer set programming, transformation
