Let S be an ordered set of disjoint unit spheres in R3 . We show that if every subset of at most six spheres from S admits a line transversal respecting the ordering, then the ent...
Otfried Cheong, Xavier Goaoc, Andreas Holmsen, Syl...
In this paper we introduce a logical query language extended with object-oriented typing facilities. This language, called DTL (from DataTypeLog), can be seen as an extension of Da...
In the early 1920s, Pavel Urysohn proved his famous lemma (sometimes referred to as "first non-trivial result of point set topology"). Among other applications, this lemm...
—In this paper we present an Information Theoretic Estimator for the number of sources mutually disjoint in a linear mixing model. The approach follows the Minimum Description Le...
In this paper we present methods to generate a Description Logic (DL) theory from a given First Order Logic (FOL) theory, such that each DL axiom is entailed by the given FOL theor...