Practice Question Finite State Machine
Duration: 1 min
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The video features an educational segment analyzing a Finite State Machine (FSM) problem. The question asks what language the FSM accepts over the alphabet {a, b}. The diagram shows a single state labeled $q_0$ with an incoming arrow indicating it is the start state. A self-loop connects $q_0$ to itself, labeled with "a, b". The instructor highlights a critical detail: the state $q_0$ is a single circle, not a double circle. In standard FSM notation, a double circle denotes an accepting state. Since no state is marked as accepting, the machine accepts no strings. The slide also displays the text 'SANCHIT JAIN SIR'.
Chapters
0:00 – 0:42 00:00-00:42
The instructor begins by reading the question text: "The FSM over an alphabet {a, b} shown in the figure accepts". He points to the diagram, identifying the single node $q_0$ as the start state. He explains the self-loop transition labeled "a, b". He then draws attention to the fact that there is no double circle around the state. He explains that without a final state, the set of accepted strings is empty. He explicitly selects option (b) "no stings" from the list provided on the screen, which includes options like "all stings" and "$\epsilon$ - alone". The options are listed as a, b, c, and d.
This short clip effectively teaches the importance of final states in automata theory. By visually inspecting the diagram for the specific symbol (double circle) that denotes acceptance, the student learns to determine the language accepted by the machine. The absence of this symbol leads directly to the conclusion that the language is empty. This reinforces the standard convention used in computer science education.