A new approach to algorithmic computation of the homology of spaces and maps is presented. The key point of the approach is a change in the representation of sets. The proposed rep...
This work studies the structure of proofs containing non-analytic cuts in the cut-based system, a sequent inference system in which the cut rule is not eliminable and the only bra...
The “analyst’s traveling salesman theorem” of geometric measure theory characterizes those subsets of Euclidean space that are contained in curves of finite length. This re...
This paper reports on refinements and extensions to the MathLang framework that add substantial support for natural language text. We show how the extended framework supports mult...
Abstract. Recent analysis of sequential algorithms resulted in their axiomatization and in a representation theorem stating that, for any sealgorithm, there is an abstract state ma...