Paracoherent Answer Set Semantics meets Argumentation Frameworks

Author:

AMENDOLA GIOVANNIORCID,RICCA FRANCESCOORCID

Abstract

AbstractIn the last years, abstract argumentation has met with great success in AI, since it has served to capture several non-monotonic logics for AI. Relations between argumentation framework (AF) semantics and logic programming ones are investigating more and more. In particular, great attention has been given to the well-known stable extensions of an AF, that are closely related to the answer sets of a logic program. However, if a framework admits a small incoherent part, no stable extension can be provided. To overcome this shortcoming, two semantics generalizing stable extensions have been studied, namely semi-stable and stage. In this paper, we show that another perspective is possible on incoherent AFs, called paracoherent extensions, as they have a counterpart in paracoherent answer set semantics. We compare this perspective with semi-stable and stage semantics, by showing that computational costs remain unchanged, and moreover an interesting symmetric behaviour is maintained.

Publisher

Cambridge University Press (CUP)

Subject

Artificial Intelligence,Computational Theory and Mathematics,Hardware and Architecture,Theoretical Computer Science,Software

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1. Abstract Argumentation and Answer Set Programming: Two Faces of Nelson’s Logic;Theory and Practice of Logic Programming;2022-05-03

2. Paracoherent answer set computation;Artificial Intelligence;2021-10

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