Some embodiments provide a virtualizer for managing a plurality of managed switching elements that forward data through a network. The virtualizer comprises a first set of tables for storing input logical forwarding plane data and a second set of tables for storing output physical control plane data. It also includes a table mapping engine for mapping the input logical forwarding plane data in the first set of tables to output physical control plane data in the second set of tables by performing a set of database join operations on the input logical forwarding plane data in the first set of tables. In some embodiments, the physical control plane data is subsequently translated into physical forwarding behaviors that direct the forwarding of data by the managed switching elements.