Abstract: An apparatus and method provide simultaneous local and global addressing capabilities. A global address space is defined that may be accessed by all processes. In addition, each process has a local address space that is local (and therefore available) only to that process. An address translation mechanism is implemented, preferably in hardware, to compare an address to defined addresses for local and global addressing and to detect when a virtual address computation result would go outside a boundary for the appropriate addressing scheme. The address translation mechanism maps a virtual address to a corresponding physical address, and uses different criteria depending on whether the address is local or global.