A system for incrementally maintaining non-distributive aggregate functions in a relational database includes a data storage device in which a relational database is stored. A processor communicates with the data storage device and includes a database maintenance module. The database maintenance module includes a program for incrementally maintaining non-distributive aggregate functions in a relational database. The method embodied in the program includes determining whether all functions in a relational database query are distributive. Based on this determination, a basic propagate phase graph is selectively altered to yield a new propagate phase graph. Changes to an automatic summary table are then applied thereto based on the new propagate phase graph.