Virtual Labs

NFA to DFA Conversion using Subset Construction

In subset construction, what is the first step to create the initial DFA state?

a: Take all NFA states Explanation

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b: Take the NFA start state only Explanation

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c: Compute epsilon closure of the NFA start state Explanation

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d: Take all accepting states Explanation

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What operation is performed after computing the move function in subset construction?

a: Check for accepting states Explanation

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b: Compute epsilon closure Explanation

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c: Create new transitions Explanation

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d: Minimize the DFA Explanation

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How many DFA states can potentially be created from an NFA with n states?

a: At most n states Explanation

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b: Exactly n states Explanation

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c: At most 2^n states Explanation

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d: Always more than n states Explanation

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In the move function move(T, a), what does T represent?

a: A single NFA state Explanation

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b: A set of NFA states Explanation

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c: An input symbol Explanation

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d: A DFA transition Explanation

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What happens when a DFA state corresponds to an empty set of NFA states?

a: It becomes an accepting state Explanation

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b: It becomes a trap state (non-accepting with self-loops) Explanation

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c: It is removed from the DFA Explanation

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d: It causes an error in the algorithm Explanation

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When constructing a DFA from an NFA, how do you determine if a DFA state should be accepting?

a: If it has the most NFA states Explanation

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b: If it includes the NFA start state Explanation

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c: If it contains at least one NFA accepting state Explanation

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d: If all its NFA states are accepting Explanation

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What is the primary goal of DFA minimization after NFA to DFA conversion?

a: To reduce memory usage by merging equivalent states Explanation

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b: To change the language accepted by the DFA Explanation

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c: To make the DFA non-deterministic Explanation

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d: To add more transitions to the DFA Explanation

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In the table-filling method for DFA minimization, when are two states marked as distinguishable?

a: When they have different numbers of outgoing transitions Explanation

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b: When one is accepting and the other is not, or when they transition to distinguishable states Explanation

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c: When they have the same set of outgoing transitions Explanation

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d: When they are both accepting states Explanation

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What is the computational complexity relationship between NFAs and DFAs in terms of recognition time?

a: NFAs are always faster than DFAs Explanation

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b: DFAs provide O(n) recognition time while NFAs may require exponential time Explanation

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c: Both have the same recognition time complexity Explanation

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d: NFAs are faster for short strings, DFAs for long strings Explanation

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