Harnessing incremental answer set solving for reasoning in assumption-based argumentation

Tuomo Lehtonen, Johannes Peter Wallner, Matti Järvisalo

Publikation: Beitrag in einer FachzeitschriftArtikelBegutachtung

Abstract

Assumption-based argumentation (ABA) is a central structured argumentation formalism. As shown recently, answer set programming (ASP) enables efficiently solving NP-hard reasoning tasks of ABA in practice, in particular in the commonly studied logic programming fragment of ABA. In this work, we harness recent advances in incremental ASP solving for developing effective algorithms for reasoning tasks in the logic programming fragment of ABA that are presumably hard for the second level of the polynomial hierarchy, including skeptical reasoning under preferred semantics as well as preferential reasoning. In particular, we develop non-trivial counterexample-guided abstraction refinement procedures based on incremental ASP solving for these tasks. We also show empirically that the procedures are significantly more effective than previously proposed algorithms for the tasks.
Originalspracheenglisch
Seiten (von - bis)717 - 734
FachzeitschriftTheory and Practice of Logic Programming
Jahrgang21
Ausgabenummer6
DOIs
PublikationsstatusVeröffentlicht - 2021

ASJC Scopus subject areas

  • Software
  • Artificial intelligence
  • Theoretische Informatik
  • Hardware und Architektur
  • Theoretische Informatik und Mathematik

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