Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Which of the following statement is false?a)F...
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Which of the following statement is false?
- a)For non deterministic PDA, equivalence is undecidable
- b)For deterministic PDA, equivalence is decidable
- c)For deterministic PDA, equivalence is undecidable.
- d)None of the mentioned
Correct answer is option 'C'. Can you explain this answer?
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Which of the following statement is false?a)For non deterministic PDA,...
Geraud proved the equivalence problem decidable for Deterministic PDA .
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Which of the following statement is false?a)For non deterministic PDA,...
Explanation:
Deterministic Pushdown Automaton (DPDA) is a type of pushdown automaton where for each input symbol, the next move is uniquely determined. Non-deterministic Pushdown Automaton (NPDA), on the other hand, allows for multiple possible moves for each input symbol.
a) For non-deterministic PDA, equivalence is undecidable:
The statement is true. The equivalence problem for non-deterministic PDAs is undecidable, which means that there is no algorithm that can determine whether two non-deterministic PDAs accept the same language or not.
b) For deterministic PDA, equivalence is decidable:
The statement is true. The equivalence problem for deterministic PDAs is decidable, which means that there exists an algorithm that can determine whether two deterministic PDAs accept the same language or not. This can be done by constructing the product automaton of the two PDAs and checking for language equivalence.
c) For deterministic PDA, equivalence is undecidable:
The statement is false. As mentioned in the previous point, the equivalence problem for deterministic PDAs is decidable, so this statement is incorrect.
d) None of the mentioned:
This option is not the correct answer because option c) is false.
Therefore, the correct answer is option c) For deterministic PDA, equivalence is undecidable.
Deterministic Pushdown Automaton (DPDA) is a type of pushdown automaton where for each input symbol, the next move is uniquely determined. Non-deterministic Pushdown Automaton (NPDA), on the other hand, allows for multiple possible moves for each input symbol.
a) For non-deterministic PDA, equivalence is undecidable:
The statement is true. The equivalence problem for non-deterministic PDAs is undecidable, which means that there is no algorithm that can determine whether two non-deterministic PDAs accept the same language or not.
b) For deterministic PDA, equivalence is decidable:
The statement is true. The equivalence problem for deterministic PDAs is decidable, which means that there exists an algorithm that can determine whether two deterministic PDAs accept the same language or not. This can be done by constructing the product automaton of the two PDAs and checking for language equivalence.
c) For deterministic PDA, equivalence is undecidable:
The statement is false. As mentioned in the previous point, the equivalence problem for deterministic PDAs is decidable, so this statement is incorrect.
d) None of the mentioned:
This option is not the correct answer because option c) is false.
Therefore, the correct answer is option c) For deterministic PDA, equivalence is undecidable.
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Which of the following statement is false?a)For non deterministic PDA, equivalence is undecidableb)For deterministic PDA, equivalence is decidablec)For deterministic PDA, equivalence is undecidable.d)None of the mentionedCorrect answer is option 'C'. Can you explain this answer?
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