Which of the following is NOT a characteristic of a finite state machine?

In the context of finite state machines (FSMs), the defining characteristics primarily revolve around their ability to operate within a finite, discrete framework. A finite state machine is designed to handle a defined, limited number of states, making it inherently discrete.

One of its core attributes is that state transitions occur in response to discrete events; this means that an FSM reacts to specific inputs or triggers, transitioning from one state to another based on these defined occurrences. This allows for clear modeling of systems that consist of distinct conditions or events.

In contrast, the option regarding evolving over continuous time does not align with the fundamental principles of a finite state machine. Finite state machines are characterized by their discrete operational nature— they change states at distinct moments dictated by specific events, rather than changing continuously over time. Therefore, indicating that they evolve continuously contradicts the very essence of what makes an FSM finite and discrete.