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Which of the following is correct proposition?
Statement 1: Non determinism is a generalization of Determinism.
Statement 2: Every DFA is automatically an NFA
  • a)
    Statement 1 is correct because Statement 2 is correct
  • b)
    Statement 2 is correct because Statement 2 is correct
  • c)
    Statement 2 is false and Statement 1 is false
  • d)
    Statement 1 is false because Statement 2 is false
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which of the following is correct proposition?Statement 1: Non determi...
 DFA is a specific case of NFA.
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Which of the following is correct proposition?Statement 1: Non determi...
Explanation:

Statement 1: Non determinism is a generalization of Determinism.

Determinism is a type of computation where for each input symbol, there is only one transition possible in the machine. Non-determinism is a type of computation where for each input symbol, there may be multiple transitions possible in the machine. Thus, non-determinism is a generalization of determinism.

Statement 2: Every DFA is automatically an NFA

A DFA is a deterministic finite automaton, which means that for each input symbol, there is only one transition possible in the machine. An NFA is a non-deterministic finite automaton, which means that for each input symbol, there may be multiple transitions possible in the machine. Since a DFA is a special case of an NFA, every DFA is automatically an NFA.

Therefore, statement 2 is correct because it is a well-known fact in automata theory. Statement 1 is not related to statement 2, but it is also correct because non-determinism is a generalization of determinism.

Hence, the correct option is B.
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Which of the following is correct proposition?Statement 1: Non determinism is a generalization of Determinism.Statement 2: Every DFA is automatically an NFAa)Statement 1 is correct because Statement 2 is correctb)Statement 2 is correct because Statement 2 is correctc)Statement 2 is false and Statement 1 is falsed)Statement 1 is false because Statement 2 is falseCorrect answer is option 'B'. Can you explain this answer?
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