Is it permissible for a student to continue developing a program for managing the university library, given the presence of a book by a secular author and the possibility of other books containing Sharia violations? And does deleting it absolve him of responsibility? And is he responsible for books added after the program is delivered?

It is well-known that public libraries contain beneficial and harmful books, and books by people of falsehood are needed by scholars to refute them. There is no harm for the questioner in creating a program for a university library, even if it might be used to access books containing sharia (definition) violations; because the general principle is the permissibility of doing something that can be used for both halal (definition) and haram (definition) purposes.