An object model schedule s is called extended tree reducible if its expansion

An object model schedule s is called extended tree reducible if its expansion, e• can be transformed into a serial order of s's committed transaction roots by applying the following transformation rules finitely many times: 1. the commutativity rule applied to adjacent leaves, i.e., two adjacent leaves that are not in conflict can be commuted; 2. the tree pruning rule for isolated subtrees, i.e., if all Li operations of a transaction are isolated, then its Li-1 operations can be eliminated; 3. the undo rule applied to adjacent leaves, i.e., two adjacent leaf operations p and p-1 that are inverses of each other can be replaced by a null operation; 4. the null rule for read-only operations; 5. the ordering rule applied to unordered leaves. Let FRED denote the class of all extended tree-reducible object model schedules.


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