Nested invocation protocol for object-based systems

We discuss how to invoke a method on multiple object replicas in a quorum-based way. Suppose each instance of a method t on replicas of an object x invokes another method u on replicas in a quorum of an object y. Here, the method u is redundantly invoked multiple times on some replicas of the object y. If each instance of the method t issues a method u to its own quorum, more number of replicas are manipulated than the quorum number This is quorum expansion. We discuss a protocol to invoke methods on replicas in a nested manner without the redundant invocation and quorum expansion. We evaluate the protocol on how many replicas are manipulated and requests are issued.