Abstract
A new computing paradigm is currently on spot: autonomic computing (AC), which is inspired by the human autonomic nervous system. AC is characterized by its self-* facets such as self-configuration, self-healing, self-optimization, and self-protection. The overarching goal of AC is to realize computer systems, and thus networked computing systems, that can manage themselves without direct human interventions. Meeting this grand challenge of autonomic computing requires a fundamental approach to the notion of self-*. To this end, taking advantage of the categorical approach we establish, in this chapter, a firm formal basis for modeling self-* in autonomic networked computing systems, developing self-* monoid, category of self-* monoids, and series of self-* facets. All of these are to achieve formal aspects of the self-*.
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