Abstract: A database management system (DBMS) provided with a multi-dimensional improved indexed accessing capability using keyed index searching. Individual search keys are constructed from general expression statements created in the DBMS compiler from search queries supplied to the DBMS. Each key column represents another dimension, and both ranges and IN lists can be specified in the search query and used as the predicate values in multiple columns. Missing predicate values in the search query are interpreted as a specification of the minimum and maximum values for the associated search key column. During compile time, the DBMS compiler produces general expressions to be used by the DBMS executor during run time to create the search keys. The DBMS compiler evaluates search queries by associating predicates with clusters and disjunct numbers assigned to each individual disjunct in the search query expression.