In this work we discuss examples of infinite abstract argumentation frameworks (AFs). Our focus is mainly on existence of extensions of semantics such as semi-stable and stage semantics, as opposed to the collapse where some argumentation frameworks prevent any extension. We visit known examples from the literature and present novel variants. Finally, we also give insights into extension existence conditions.
@InProceedings{spanring:OASIcs.ICCSW.2015.70, author = {Spanring, Christof}, title = {{Hunt for the Collapse of Semantics in Infinite Abstract Argumentation Frameworks}}, booktitle = {2015 Imperial College Computing Student Workshop (ICCSW 2015)}, pages = {70--77}, series = {Open Access Series in Informatics (OASIcs)}, ISBN = {978-3-95977-000-2}, ISSN = {2190-6807}, year = {2015}, volume = {49}, editor = {Schulz, Claudia and Liew, Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.ICCSW.2015.70}, URN = {urn:nbn:de:0030-drops-54839}, doi = {10.4230/OASIcs.ICCSW.2015.70}, annote = {Keywords: Abstract Argumentation, Infinity, Argumentation Semantics, Discrete Structures} }
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