Hume is a domain-specific programming language targeting resource- bounded computations, such as real-time embedded systems. It is novel in being based on generalised concurrent bounded automata, controlled by transitions characterised by pattern matching on inputs and recursive function generation of outputs. FSM-Hume is a strict finite state subset of Hume, where symbols are constrained to fixed size types and transition functions are non-recursive. Here we discuss the design of FSM-Hume and show that it is indeed classically finite state.