A Note on Symmetry in Logic of Self-repair: The Case of a Self-repair Network

摘要

A self-repair network consists of nodes capable of repairing other nodes where the repair success rate depends on the state (normal or abnormal) of the repairing node. This recursive structure leads to the "double-edged sword" of repairing, which could cause outbreaks in case the repairing causes adverse effects. The self-repair network can be equated to a probabilistic cellular automaton. Because of the distinction between repair by normal nodes and that by abnormal nodes, transition probabilities as a probabilistic cellular automaton exhibit symmetry.