Reseña: A certified reduction strategy for homological image processing

Se ha publicado un trabajo de verificación formal con Coq titulado A certified reduction strategy for homological image processing.

Sus autores son María Poza, César Domínguez, Jónathan Heras y Julio Rubio (de la Universidad de la Rioja).

Su resumen es

The analysis of digital images using homological procedures is an outstanding topic in the area of Computational Algebraic Topology. In this paper, we describe a certified reduction strategy to deal with digital images, but preserving their homological properties. We stress both the advantages of our approach (mainly, the formalisation of the mathematics allowing us to verify the correctness of algorithms) and some limitations (related to the performance of the running systems inside proof assistants). The drawbacks are overcome using techniques that provide an integration of computation and deduction. Our driving application is a problem in bioinformatics, where the accuracy and reliability of computations are specially requested.

El código de las teoría Coq correspondientes al trabajo se encuentra aquí.