Reseña: Computing persistent homology within Coq/SSReflect

Se ha publicado un nuevo trabajo de razonamiento formalizado en Coq titulado Computing persistent homology within Coq/SSReflect.

Sus autores son Jónathan Heras, Thierry Coquand, Anders Mörtbeg y Vincent Siles.

Su resumen es

Persistent homology is one of the most active branches of Computational Algebraic Topology with applications in several contexts such as optical character recognition or analysis of point cloud data. In this paper, we report on the formal development of certified programs to compute persistent Betti numbers, an instrumental tool of persistent homology, using the Coq proof assistant together with the SSReflect extension. To this aim it has been necessary to formalize the underlying mathematical theory of these algorithms. This is another example showing that interactive theorem provers have reached a point where they are mature enough to tackle the formalization of nontrivial mathematical theories.

Este trabajo es parte del proyecto ForMath: Formalisation of Mathematics.