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

Explanation

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

Explanation

c: To add more transitions for increased complexity. Explanation

Explanation

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

Explanation

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

Explanation

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

Explanation

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

Explanation

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

Explanation

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

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

Explanation

b: When it recognizes a regular language. Explanation

Explanation

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

Explanation

d: When it contains only one state. Explanation

Explanation

Which classical algorithm is most commonly used for DFA minimization?

a: Moore’s Algorithm Explanation

Explanation

b: Dijkstra’s Algorithm Explanation

Explanation

c: Prim’s Algorithm Explanation

Explanation

d: Kruskal’s Algorithm Explanation

Explanation

What is the time complexity of Hopcroft’s DFA minimization algorithm?

a: O(n) Explanation

Explanation

b: O(n log n) Explanation

Explanation

c: O(n^2) Explanation

Explanation

d: O(n log m), where n is states and m is transitions Explanation

Explanation

Why is DFA minimization important in compiler design?

a: It ensures faster lexical analysis by reducing state checks. Explanation

Explanation

b: It increases the complexity of transition functions. Explanation

Explanation

c: It helps convert context-free grammar into DFA. Explanation

Explanation

d: It eliminates nondeterminism in NFAs. Explanation

Explanation

Minimization of DFA