منابع مشابه
On the Existence of Semi-Stable Extensions
In this paper, we describe an open problem in abstract argumentation theory: the precise conditions under which semi-stable extensions exist. Although each finite argumentation framework can be shown to have at least one semi-stable extension, this is no longer the case when infinite argumentation frameworks are considered. This puts semi-stable semantics between stable and preferred semantics....
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By considering a family of orthogonal polynomials generalizing the Tchebycheff polynomials of the second kind we refine the corresponding results of De Sainte-Catherine and Viennot on Tchebycheff polynomials of the second kind (Lecture Notes in Mathematics, vol. 1171, 1985, Springer-Verlag, 120). © 2003 Elsevier Science Ltd. All rights reserved.
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Abstract: Motivated by problems related to quasi-local mass in general relativity, we study the static metric extension conjecture proposed by R. Bartnik [4]. We show that, for any metric on B̄1 that is close enough to the Euclidean metric and has reflection invariant boundary data, there always exists an asymptotically flat and scalar flat static metric extension in M = R \B1 such that it satis...
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Abstract properties satisfied for finite structures do not necessarily carry over to infinite structures. Two of the most basic properties are existence and uniqueness of something. In this work we study these properties for acceptable sets of arguments, so-called extensions, in the field of abstract argumentation. We review already known results, present new proofs or explain sketchy old ones ...
متن کاملOn the existence and multiplicity of extensions in dialectical argumentation
In the present paper, the existence and multiplicity problems of extensions are addressed. The focus is on extension of the stable type. The main result of the paper is an elegant characterization of the existence and multiplicity of extensions in terms of the notion of dialectical justification, a close cousin of the notion of admissibility. The characterization is given in the context of the ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1975
ISSN: 0022-247X
DOI: 10.1016/0022-247x(75)90141-9