Techniques are disclosed relating to managing dependencies between shared data objects in a database system. In various embodiments, a data storage system may maintain a function cache that is operable to store functions that are accessible to one or more applications hosted by a server system. In response to a request to invalidate a first data type utilized by one or more of these functions, various embodiments may include accessing an inverted index that specifies a mapping between data types and corresponding functions, stored in the function cache, which depend on those data types. Using the inverted index, various embodiments include identifying a set of functions that depend on the first data type and invalidating the set of functions in the function cache such that the set of functions are no longer accessible by the applications.