1. A method for assigning a processor to a logical partition in a computer supporting multiple logical partitions, the method comprising: assigning priorities to partitions; detecting a checkstop of a failing processor of a partition; retrieving the failing processor's state; replacing by a hypervisor the failing processor with a replacement processor from a partition having a priority lower than the priority of the partition of the failing processor; assigning the retrieved slate of the failing processor as the state of the replacement processor; and wherein: the failing processor is assigned to a dedicated partition; the lowest priority partition is a dedicated partition; and replacing the failing processor includes terminating the lowest priority partition.