Solving Advanced Argumentation Problems with Answer Set Programming

Gerhard BrewkaGerhard Brewka, Martin DillerMartin Diller, Georg HeissenbergerGeorg Heissenberger, Thomas LinsbichlerThomas Linsbichler, Stefan WoltranStefan Woltran

Gerhard Brewka, Martin Diller, Georg Heissenberger, Thomas Linsbichler, Stefan Woltran
Solving Advanced Argumentation Problems with Answer Set Programming
Theory and Practice of Logic Programming, January 2020

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KurzfassungAbstract
Powerful formalisms for abstract argumentation have been proposed, among them abstract dialectical frameworks (ADFs) that allow for a succinct and flexible specification of the relationship between arguments, and the GRAPPA framework which allows argumentation scenarios to be represented as arbitrary edge-labelled graphs. The complexity of ADFs and GRAPPA is located beyond NP and ranges up to the third level of the polynomial hierarchy. The combined complexity of Answer Set Programming (ASP) exactly matches this complexity when programs are restricted to predicates of bounded arity. In this paper, we exploit this coincidence and present novel efficient translations from ADFs and GRAPPA to ASP. More specifically, we provide reductions for the five main ADF semantics of admissible, complete, preferred, grounded, and stable interpretations, and exemplify how these reductions need to be adapted for GRAPPA for the admissible, complete and preferred semantics.
Weitere Informationen unter:Further Information: Link
Projekt:Project: CPEC
Forschungsgruppe:Research Group: Computational LogicComputational Logic, Logische Programmierung und ArgumentationLogic Programming and Argumentation

@article{BDHLW2020,
  author  = {Gerhard Brewka and Martin Diller and Georg Heissenberger and Thomas
             Linsbichler and Stefan Woltran},
  title   = {Solving Advanced Argumentation Problems with Answer Set Programming},
  journal = {Theory and Practice of Logic Programming},
  year    = {2020},
  month   = {January}
}