2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65711We expose some ideas from mathematical logics, i.e. the background of the theory of o-minimal structures, and demonstrate how they lead to the notion of a tame integral of motion and some extensions and clarifications of previous results on obstructions to integrability of geodesic flows.LaTeX, 10 pagesDynamical SystemsDifferential GeometryExactly Solvable and Integrable Systemstext