NDLI: Minimal hypotheses: extension-based semantics to argumentation

Content Provider	Springer Nature Link
Author	Lin, Zuoquan Zhang, Zhihu
Copyright Year	2012
Abstract	The emptiness problem of the preferred semantics and the non-existence problem of the stable semantics are well recognized for argumentation frameworks. In this paper, we introduce two strong semantics, named s-preferred semantics and s-stable semantics, to guarantee the non-emptiness of the preferred extensions and the existence of the stable extensions respectively. Our semantics are defined by two concepts of extensions of argumentation frameworks, namely s-preferred extension and s-stable extension. Each is constructed in a similar way to the original semantics. The novelty of our semantics is that an extension of an argumentation framework is considered as a pair of sets of arguments, in which the second element of an extension is viewed as a kind of hypotheses that should be minimized. The s-preferred semantics not only solves the emptiness problem of the preferred semantics, but also coincides with the preferred semantics when nonempty preferred extensions exist. Meanwhile, the s-stable semantics ensures the existence of extensions, and coincides with the stable semantics when the stable extensions exist as well. The relations among various semantics for argumentation frameworks are discussed.
Ending Page	283
Page Count	39
Starting Page	245
File Format	PDF
ISSN	10122443
e-ISSN	15737470
Journal	Annals of Mathematics and Artificial Intelligence
Issue Number	2-3
Volume Number	65
Language	English
Publisher	Springer Netherlands
Publisher Date	2012-08-24
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Extension Stable semantics Argumentation Knowledge representation Computer Science Preferred semantics Artificial Intelligence (incl. Robotics) Mathematics Minimality Statistical Physics, Dynamical Systems and Complexity
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Artificial Intelligence

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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