Systems, methods and software for implementing a virtualized storage system. Physical storage is carved into units called physical segments. Logical storage is implemented in atomic logical units called RStores comprising a range of virtual address space that when allocated, is bound to a particular group of PSEGs. RStores preferably implement a selected of data protection. A pool of physical storage devices is carved into redundant storage sets. A plurality of RStores make up a logical disk that is presented to a user. Storage access requests expressed in terms of logical disk addresses are mapped to PSEGs containing data represented by the logical addresses through a split-directory representation of the logical unit.