An example of a device comprises a first MMU converting a logical address into a physical address for a cache, a controller accessing the cache based on the physical address for the cache, a first storage storing history data showing an access state to a main memory outside a processor, a second storage storing relation data showing a relationship between a logical address and a physical address in the main memory, and a second MMU converting a logical address into a physical address for the main memory based on the history and relation data and accessing the main memory based on the physical address for the main memory. The first and second MMU, controller, first storage, second storage are included in the processor.