Comment by jhedwards
There already is a story like that in The Cyberiad by Stanislaw Lem. One of the robot characters in the book decides to make a poet robot. They reason that a poet is "programmed" by their culture, and a culture is programmed by the previous culture, so the robot has to simulate the evolution of the world from the beginning of time in order to produce the AI poet. It's a wonderful and hilarious story.
It could be that Lem was influenced by Borges? The original poster is referencing a specific Borges short story called "Pierre Menard, Author of the Quixote" which he published in 1939. It influenced a number of other notable authors