Assumption-Based Argumentation Equipped with Preferences and Constraints

  • Toshiko WakakiEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10564)


\(\check{C}\)yras and Toni claimed that assumption-based argumentation equipped with preferences (p_ABA) cannot solve two examples presented by them since the given preferences don’t work in their p_ABAs whose underlying ABAs have a unique extension, and hence they proposed \(\mathrm {ABA}^+\). However in p_ABAs encoded by them, we found that they mistook hypotheses contained in their example for assumptions, while \(\check{C}\)yras ignored some constrains contained in another example. Hence against their claim, first this paper shows that p_ABAs in which we expressed the respective knowledge correctly give us solutions of them without any difficulties. Second we present the technique to represent hypotheses in ABA as well as a method to incorporate some kind of constraints in p_ABA. Finally we show a famous non-monotonic reasoning example with preferences that \(\mathrm {ABA}^{+}\) leads to incorrect results.



This work was supported by KAKENHI (Grant-in-Aid for Scientific Research(S)17H06103).


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Shibaura Institute of TechnologySaitama-cityJapan

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