Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Consider three decision problems P1, P2 and P...
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Consider three decision problems P1, P2 and P3. It is known that P1 is decidable and P2 is undecidable. Which of the following statements is true?
- a)P3 is decidable if P1 is reducible to P3.
- b)P3 is undecidable if P3 is reducible to P2.
- c)P3 is undecidable if P2 is reducible to P3.
- d)P3 is decidable if P3 is reducible to P2's complement.
Correct answer is option 'B'. Can you explain this answer?
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Consider three decision problems P1, P2 and P3. It is known that P1 is...
P1 decidable
P2 undecidable
A decision problem is said to be decidable if there exists an effective algorithm that returns a correct yes or no answer to that problem.
A decision problem is said to be undecidable if there does not exist a single algorithm that always leads to a correct yes or no solution.
In terms of reducibility, P2 ≤p P3 denotes that P2 is a decision problem that is reducible to P3 in polynomial time p. This simply means that the instance of P2 can be transformed into P3 instance; and following the solution of P3, we can get a solution for the problem P2. Hence, if P1 or P2 is reducible to P3, then P3 also has the same properties as P1 and P2. So, if P2 is reducible to P3, then P3 is undecidable.
P2 undecidable
A decision problem is said to be decidable if there exists an effective algorithm that returns a correct yes or no answer to that problem.
A decision problem is said to be undecidable if there does not exist a single algorithm that always leads to a correct yes or no solution.
In terms of reducibility, P2 ≤p P3 denotes that P2 is a decision problem that is reducible to P3 in polynomial time p. This simply means that the instance of P2 can be transformed into P3 instance; and following the solution of P3, we can get a solution for the problem P2. Hence, if P1 or P2 is reducible to P3, then P3 also has the same properties as P1 and P2. So, if P2 is reducible to P3, then P3 is undecidable.
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Consider three decision problems P1, P2 and P3. It is known that P1 is decidable and P2 is undecidable. Which of the following statements is true?a)P3 is decidable if P1 is reducible to P3.b)P3 is undecidable if P3 is reducible to P2.c)P3 is undecidable if P2 is reducible to P3.d)P3 is decidable if P3 is reducible to P2s complement.Correct answer is option 'B'. Can you explain this answer?
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Consider three decision problems P1, P2 and P3. It is known that P1 is decidable and P2 is undecidable. Which of the following statements is true?a)P3 is decidable if P1 is reducible to P3.b)P3 is undecidable if P3 is reducible to P2.c)P3 is undecidable if P2 is reducible to P3.d)P3 is decidable if P3 is reducible to P2s complement.Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider three decision problems P1, P2 and P3. It is known that P1 is decidable and P2 is undecidable. Which of the following statements is true?a)P3 is decidable if P1 is reducible to P3.b)P3 is undecidable if P3 is reducible to P2.c)P3 is undecidable if P2 is reducible to P3.d)P3 is decidable if P3 is reducible to P2s complement.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider three decision problems P1, P2 and P3. It is known that P1 is decidable and P2 is undecidable. Which of the following statements is true?a)P3 is decidable if P1 is reducible to P3.b)P3 is undecidable if P3 is reducible to P2.c)P3 is undecidable if P2 is reducible to P3.d)P3 is decidable if P3 is reducible to P2s complement.Correct answer is option 'B'. Can you explain this answer?.
Consider three decision problems P1, P2 and P3. It is known that P1 is decidable and P2 is undecidable. Which of the following statements is true?a)P3 is decidable if P1 is reducible to P3.b)P3 is undecidable if P3 is reducible to P2.c)P3 is undecidable if P2 is reducible to P3.d)P3 is decidable if P3 is reducible to P2s complement.Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider three decision problems P1, P2 and P3. It is known that P1 is decidable and P2 is undecidable. Which of the following statements is true?a)P3 is decidable if P1 is reducible to P3.b)P3 is undecidable if P3 is reducible to P2.c)P3 is undecidable if P2 is reducible to P3.d)P3 is decidable if P3 is reducible to P2s complement.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider three decision problems P1, P2 and P3. It is known that P1 is decidable and P2 is undecidable. Which of the following statements is true?a)P3 is decidable if P1 is reducible to P3.b)P3 is undecidable if P3 is reducible to P2.c)P3 is undecidable if P2 is reducible to P3.d)P3 is decidable if P3 is reducible to P2s complement.Correct answer is option 'B'. Can you explain this answer?.
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