Formal Power Series
Acaba de publicarse un nuevo artículo de razonamiento formalizado. El artículo es Formal Power Series publicado por Amine Chaieb en el Journal of Automated Reasoning.
El resumen que hace el autor del artículo es el siguiente: We present a formalization of the topological ring of formal power series in Isabelle/HOL. We also formalize formal derivatives, division, radicals, composition and reverses. As an application, we show how formal elementary and hyper-geometric series yield elegant proofs for some combinatorial identities. We easily derive a basic theory of polynomials. Then, using a generic formalization of the fraction field of an integral domain, we obtain formal Laurent series and rational functions for free.
La formalización completa se encuentra en Theory Formal Power Series