Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Consider three decision problem A, B, C. A is...
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Consider three decision problem A, B, C. A is decidable and B is not. Which of the following is a correct option?
- a)C is undecidable if C is reducible to B
- b)C is undecidable if B is reducible to C
- c)C is decidable if A is reducible to C
- d)C is decidable if C is reducible to B’s complement.
Correct answer is option 'B'. Can you explain this answer?
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Consider three decision problem A, B, C. A is decidable and B is not. ...
As B is undecidable and it can be reduced to C, C is also an undecidable problem.
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Consider three decision problem A, B, C. A is decidable and B is not. ...
D) C is decidable if C is reducible to B
If C is reducible to B, we can use the undecidable problem B to solve C, which means C is also undecidable. Therefore, option a) is incorrect. If B is reducible to C, we cannot conclude anything about the decidability of C. Option b) is also incorrect. Option c) is not necessarily true, as we cannot determine the decidability of C based solely on the reducibility to A. However, if C is reducible to B, we can use the algorithm for B to solve C, making C decidable. Therefore, option d) is correct.
If C is reducible to B, we can use the undecidable problem B to solve C, which means C is also undecidable. Therefore, option a) is incorrect. If B is reducible to C, we cannot conclude anything about the decidability of C. Option b) is also incorrect. Option c) is not necessarily true, as we cannot determine the decidability of C based solely on the reducibility to A. However, if C is reducible to B, we can use the algorithm for B to solve C, making C decidable. Therefore, option d) is correct.
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Consider three decision problem A, B, C. A is decidable and B is not. Which of the following is a correct option?a)C is undecidable if C is reducible to Bb)C is undecidable if B is reducible to Cc)C is decidable if A is reducible to Cd)C is decidable if C is reducible to B’s complement.Correct answer is option 'B'. Can you explain this answer?
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