This article presents a general framework for integrating reasoning about object structure and concept taxonomies. The structural relations in the domain of objects discussed are ...
Exotic semirings such as the “(max, +) semiring” (R ∪ {−∞}, max, +), or the “tropical semiring” (N ∪ {+∞}, min, +), have been invented and reinvented many times s...
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
Locality is a standard notion of finite model theory. There are two well known flavors of it, based on Hanf's and Gaifman's theorems. Essentially they say that structure...
This paper presents a generalization of a theorem of Saltman on the existence of generic extensions with group A G over an infinite field K, where A is abelian, using less restri...