cartodb-postgresql/doc/CDB_UserTables.md

List the name of available tables (only the usable ones)

Using the function

--- Returns a row for each table having given permission with the table name
--- Currently accepted permissions are: 'public', 'private' or 'all'
SELECT CDB_UserTables(perms)

REF: https://github.com/CartoDB/cartodb-postgresql/blob/master/scripts-available/CDB_UserTables.sql