Concurrency of self-* in autonomic systems

New computing systems are currently at crucial point in their evolution: autonomic systems (ASs), which are inspired by the human autonomic nervous system. Autonomic computing (AC) is characterized by self-*such as self-configuration, self-healing, self-optimization, self-protection and more which run simultaneously in ASs. Hence, self-*is a form of concurrent processing in ASs. Taking advantage of categorical structures we establish, in this paper, a firm formal basis for specifying concurrency of self-* in ASs.