In preference-based argumentation theory, an argument may be preferred to another one when, for example, it is more specific, its beliefs have a higher probability or certainty, or it promotes a higher value. In this paper we generalize Bench-Capon’s value-based argumentation theory such that arguments can promote multiple values, and preferences among values or arguments can be specified in va...

For any positive integer N let μN be the group of the N th roots of unity. In this note we shall study the Q-linear relations among the values of multiple polylogarithms evaluated at μN . We show that the standard relations considered by Racinet do not provide all the possible relations in the following cases: (i) level N = 4, weight w = 3 or 4, and (ii) w = 2, 7 <N < 50, and N is a power of 2 ...

Abstract. Let K be a global function field with finite constant field Fq of order q. In this paper we develop the analytic theory of a multiple zeta function Zd(K; s1, . . . , sd) in d independent complex variables defined over K. This is the function field analog of the Euler-Zagier multiple zeta function ζd(s1, . . . , sd) of depth d ([Z1]). Our main result is that Zd(K; s1, . . . , sd) has a...

In this talk, I survey several Q-linear relations for multiple L-values of Arakawa-Kaneko type. T. Arakawa and M. Kaneko proved in 2004 the so-called derivation relation, which is proved as a corollary of the regularized double shuffle relation. Kaneko firstly formulated an extension of the derivation relation by modeling a Hopf algebra introduced by A. Connes and H. Moscovici. G. Kawashima and...

Because of the heterogeneous nature of multiple data sources, data integration is often one of the most challenging tasks of today’s information systems. While the existing literature has focused on problems such as schema integration and entity identification, our current study attempts to answer a basic question: When an attribute value for a real-world entity is recorded differently in two d...

The Multiple Zeta Values (or ‘MZVs’) have been investigated a great deal in recent years, yielding a wealth of interesting results and exciting conjectures. The aim of this report is to introduce the MZVs and their relations, and to display some of the techniques being used in modern research to describe them. We being with an emphasis on the combinatorial methods of describing the MZVs, and th...

Given a sequence of n elements, the All Nearest Smaller Values (ANSV) problem is to nd, for each element in the sequence, the nearest element to the left (right) that is smaller, or to report that no such element exists. Time and work optimal algorithms for this problem are known on all the PRAM models 3], 5], but the running time of the best previous hypercube algorithm 6] is optimal only when...

BACKGROUND The RD(50) (exposure concentration producing a 50% respiratory rate decrease) test evaluates airborne chemicals for sensory irritation and has become an American Society for Testing and Materials (ASTM) standard method. Past studies reported good correlations (R(2)) between RD(50)s and the occupational exposure limits, particularly threshold limit values (TLVs). OBJECTIVE The main ...