Virtual Labs

In the context of Deterministic Finite Automaton (DFA), what is the purpose of minimization?

a: To increase the number of states for better recognition. Explanation

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b: To simplify and reduce the number of states while preserving the language accepted. Explanation

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c: To add more transitions for increased complexity. Explanation

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d: To convert DFA to NFA for easier analysis. Explanation

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What is the impact of minimization on the size of a Deterministic Finite Automaton (DFA)?

a: It always increases the size of the DFA. Explanation

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b: It reduces the size of the DFA by eliminating redundant states. Explanation

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c: It has no effect on the size of the DFA. Explanation

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d: It only affects the transition functions of the DFA. Explanation

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When is a Deterministic Finite Automaton (DFA) considered minimized?

a: When it has the maximum number of states. Explanation

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b: When it recognizes a regular language. Explanation

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c: When no equivalent DFA with fewer states can recognize the same language. Explanation

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d: When it contains only one state. Explanation

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What is the first step in DFA minimization using the Equivalence Theorem (Partition Refinement Method)?

a: Merge all states into a single state. Explanation

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b: Partition the states into accepting and non-accepting groups. Explanation

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c: Construct the minimized DFA directly. Explanation

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d: Mark distinguishable pairs of states. Explanation

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In the Table-Filling Method for DFA minimization, which pairs of states are initially marked as distinguishable?

a: States that have the same transitions. Explanation

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b: Pairs where one is an accepting state and the other is not. Explanation

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c: All state pairs. Explanation

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d: Pairs that belong to the same equivalence class. Explanation

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Why is DFA minimization important in practical applications?

a: It guarantees faster computations by always reducing time complexity. Explanation

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b: It removes redundant states, creates efficient DFAs, and ensures a unique canonical representation. Explanation

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c: It converts any DFA into an equivalent NFA. Explanation

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d: It increases the readability of the DFA diagram. Explanation

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Minimization of DFA