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Paracoherent Answer Set Semantics meets Argumentation Frameworks

Published online by Cambridge University Press:  20 September 2019

GIOVANNI AMENDOLA Open the ORCID record for GIOVANNI AMENDOLA [Opens in a new window]  and
FRANCESCO RICCA Open the ORCID record for FRANCESCO RICCA [Opens in a new window]
GIOVANNI AMENDOLA
Affiliation:
University of Calabria, Rende, Italy (e-mails: amendola@mat.unical.it, ricca@mat.unical.it)
FRANCESCO RICCA
Affiliation:
University of Calabria, Rende, Italy (e-mails: amendola@mat.unical.it, ricca@mat.unical.it)
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Abstract

In 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.

Keywords

Answer Set ProgrammingAbstract ArgumentationParacoherent reasoning
Type
Original Article
Information
Theory and Practice of Logic Programming , Volume 19 , Special Issue 5-6: 35th International Conference on Logic Programming , September 2019 , pp. 688 - 704
Copyright
© Cambridge University Press 2019 

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