A necessary condition for self-reproduction in the Semar core

Self-reproduction is one of the most fundamental functions of creatures flourishing in a natural or virtual environment. Because evolution is regarded as a sequence of transitions from a self-reproductive genotype to another form, understanding evolution requires that conditions for self-reproduction be formulated. In this paper, a necessary condition for self-reproduction is formulated using the core memory system called \´Semar\´. The behavior of a self-reproducing creature in Semar (a core region delimited by "Membrane" data) is analyzed in detail, and its actions are formulated using a finite state machine. The "state" of the machine represents the existence or the types of particular classes of words in the core, and the state transition functions of the machine are modeled after reactions between data words catalyzed by \´Protein\´ data in the creature. The above necessary condition for self-reproduction is formulated as a set of Boolean equations, which states that the mother creature must return to the initial state after the completion of a reproduction process. Several meanings of the formulation are also discussed.