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← Logic & PuzzlesAn engineer is designing a compiler that translates regular expressions into finite automata. If the regular expression contains nested quantifiers, which effect dominates during automaton construction?
A)Decreased state transition efficiency
B)Minimized memory allocation needs
C)Exponential state space explosion✓
D)Simplified automaton representation
💡 Explanation
Nested quantifiers lead to an exponential state space explosion in the corresponding finite automaton because each quantifier can potentially multiply the number of states. Therefore, the automaton grows rapidly, rather than memory being minimized or state transitions becoming more efficient due to complex interactions.
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