Strong admissibility revisited: Theory and applications

In the current paper, we re-examine the concept of strong admissibility, as was originally introduced by Baroni and Giacomin. We examine the formal properties of strong admissibility, both in its extension-based and in its labelling-based form, and analyse the computational complexity of the r...

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Main Authors: Martin Caminada, Paul Dunne
Format: Article
Language:English
Published: IOS Press 2020-01-01
Series:Argument & Computation
Online Access:https://doi.org/10.3233/AAC-190463
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author Martin Caminada
Paul Dunne
author_facet Martin Caminada
Paul Dunne
author_sort Martin Caminada
collection DOAJ
description In the current paper, we re-examine the concept of strong admissibility, as was originally introduced by Baroni and Giacomin. We examine the formal properties of strong admissibility, both in its extension-based and in its labelling-based form, and analyse the computational complexity of the relevant decision problems. Moreover, we show that strong admissibility plays a vital role in discussion-based proof procedures for grounded semantics. In particular it allows one to compare the performance of alternative dialectical proof procedures for grounded semantics, and obtain some remarkable differences between the Standard Grounded Game and the Grounded Discussion Game.
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spelling doaj.art-64172669a5eb4552843f818038f880fd2023-03-24T09:48:02ZengIOS PressArgument & Computation1946-21661946-21742020-01-0110327730010.3233/AAC-190463Strong admissibility revisited: Theory and applicationsMartin Caminada0Paul Dunne1Cardiff University, Queen’s Buildings, 5 The Parade, Cardiff CF24 2LQ, United Kingdom. E-mail: CaminadaM@cardiff.ac.ukUniversity of Liverpool, Ashton Building, Liverpool L69 7ZF, United Kingdom. E-mail: P.E.Dunne@liverpool.ac.uk In the current paper, we re-examine the concept of strong admissibility, as was originally introduced by Baroni and Giacomin. We examine the formal properties of strong admissibility, both in its extension-based and in its labelling-based form, and analyse the computational complexity of the relevant decision problems. Moreover, we show that strong admissibility plays a vital role in discussion-based proof procedures for grounded semantics. In particular it allows one to compare the performance of alternative dialectical proof procedures for grounded semantics, and obtain some remarkable differences between the Standard Grounded Game and the Grounded Discussion Game.https://doi.org/10.3233/AAC-190463
spellingShingle Martin Caminada
Paul Dunne
Strong admissibility revisited: Theory and applications
Argument & Computation
title Strong admissibility revisited: Theory and applications
title_full Strong admissibility revisited: Theory and applications
title_fullStr Strong admissibility revisited: Theory and applications
title_full_unstemmed Strong admissibility revisited: Theory and applications
title_short Strong admissibility revisited: Theory and applications
title_sort strong admissibility revisited theory and applications
url https://doi.org/10.3233/AAC-190463
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