Retrieving "State Machine" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Function Composition

   Linked via "state machines"

   Automata Theory and State Machines
   In the study of finite automata and state machines, function composition models the chaining of sequential operations. If a machine transitions from state $qi$ to $qj$ via a function $T1$, and subsequently from $qj$ to $qk$ via $T2$, the combined transition $T2 \circ T1$ represents the net effect of both operations. The set of all possible state transitions under composition forms a Kleene algebra, provided the [empty transition](/entries/e…