8. The method of claim 4 , wherein the step of making modifications to said second query includes a means for making said modifications when said one or more criteria are satisfied.
4. The method of claim 1 , wherein: a dimension of said one or more dimensions corresponds to a dimension column in said relation; said one or more predicates include a particular predicate that references said dimension column; each formula of said set of formulas has a right side and a left side; wherein each formula of said set of formulas references a second array; and the one or more criteria include, for each formula of said set of formulas: (A) for each value of the dimension referenced on the left side: (1) the value of the dimension on the right side is the same as the value of the dimension referenced on the left side, or (2) the value of the dimension on the right side depends on a value of particular cell in the second array and on a function of the value of the dimension referenced on the left side; (B) said each formula specifies an operation that does not modify the second array.