In this paper, we introduce localized homology, a theory for finding local geometric descriptions for topological attributes. Given a space and a cover of subspaces, we construct...
A team of agents planning to perform a complex task make a number of interrelated decisions as they determine precisely how that complex task will be performed. The decision set i...
We show that Csanky’s fast parallel algorithm for computing the characteristic polynomial of a matrix can be formalized in the logical theory LAP, and can be proved correct in LA...
The question of whether there is a logic that captures polynomial time is the central open problem in descriptive complexity theory. In my talk, I will review the question and the...