bottom-up

Of or relating to a hierarchical system that progresses from multiple small subunits to a single, large basic unit.

The software is checked very carefully in a bottom-up fashion. First, each new line of code is checked, then sections of code or modules with special functions are verified.

Of or relating to a hierarchical system in which lower levels influence higher levels.

bottom-up management

The papacy has for centuries brought with it a place on the world stage. Francis, who from the off gave the impression of being a man in a hurry, was determined to use that platform to push a bottom-up agenda for the world.